The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 22 .

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer rounded to two decimal places.
b.
b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and down if there's an issue!
C. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US qualify for stage 1? d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.

Answers

Answer 1

According to the question we can say that the area to the right of z = 2.00 is 0.0228 or 2.28%.

a. To find the percentage of adults in the USA with stage 2 high blood pressure, we need to find the area under the normal distribution curve to the right of 160.

Using a standard normal distribution table or a statistical software, we can find that the z-score corresponding to 160 systolic blood pressure is:

z = (160 - 117) / 22 = 2.00

The area to the right of z = 2.00 is 0.0228 or 2.28%. Therefore, around 2.28% of adults in the USA have stage 2 high blood pressure.

b. To find how many people out of a sample of 2000 would be expected to have systolic blood pressure greater than 160, we can use the same z-score from part (a) and the standard normal distribution formula:

z = (x - μ) / σ

Rearranging the formula to solve for x, we get:

x = z * σ + μ

Substituting the values, we get:

x = 2.00 * 22 + 117 = 161.4

So the expected number of people with systolic blood pressure greater than 160 out of a sample of 2000 is:

2000 * (1 - P(Z < 2.00)) = 2000 * (1 - 0.9772) = 45.6

Rounding up, we can expect about 46 people to have systolic blood pressure greater than 160 out of a sample of 2000.

c. To find the percentage of adults in the USA who qualify for stage 1 high blood pressure, we need to find the area under the normal distribution curve between 140 and 160.

Using the standard normal distribution formula and z-scores, we get:

z1 = (140 - 117) / 22 = 1.05

z2 = (160 - 117) / 22 = 1.95

Using a standard normal distribution table or a statistical software, we can find the area to the left of z1 and z2, and then subtract the two areas to get the area between z1 and z2:

P(z1 < Z < z2) = P(Z < z2) - P(Z < z1) = 0.9744 - 0.8531 = 0.1213

Therefore, approximately 12.13% of adults in the USA qualify for stage 1 high blood pressure.

d. To find the systolic blood pressure corresponding to the 30th percentile, we need to find the z-score that has an area of 0.30 to its left.

Using a standard normal distribution table or a statistical software, we can find the z-score that corresponds to the area 0.30:

z = -0.52

Using the standard normal distribution formula and the given mean and standard deviation, we can solve for the systolic blood pressure:

x = z * σ + μ = -0.52 * 22 + 117 = 105.16

Therefore, if you are in the 30th percentile for blood pressure among US adults, your systolic blood pressure is approximately 105.16.

To know more about percentage visit:

brainly.com/question/28269290

#SPJ9


Related Questions

One square has a side 3 cm greater than the side of a second square. What are lengths of the sides if the sum of their areas is 1017 cm2. (Make sure to foil your product on the squares)

Answers

Using the area formula, the length of the sides of the two squares are 22 cm and 25 cm respectively.

What are squares?

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles.

It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.

The square's four sides are equal to one another or congruent.

The square's opposing sides run parallel to one another.

The square's diagonals form a 90° angle with one another.

The square's two diagonals are equal to one another.

Area: s²

s² + (s+3)² = 1017

s² + s² + 9 = 1017

2s² = 1017 - 9

2s² = 1,008

s² = 1008/2

s² = 504

s = ²504

s = 22.44

Round off: 22 cm

Then, (s+3) = 22 + 3 = 25 cm

Therefore using the area formula, the length of the sides of the two squares are 22 cm and 25 cm respectively.

Know more about squares here:

https://brainly.com/question/27307830

#SPJ1

Find the slope of a line perpendicular to the line whose equation is 5x + 6y = - 18.
Fully simplify your answer.

Answers

Answer:

m =  [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

First, we must rewrite 5x + 6y = - 18 to the form y = mx + b.

5x + 6y = -18

6y = -5x - 18

y = [tex]\frac{-5}{ 6}[/tex]x - 3

The equation of a perpendicular line to y = [tex]\frac{-5}{ 6}[/tex]x - 3 must have a slope that is the negative reciprocal of the original slope.

So, the slope of the perpendicular line is

m = [tex]\frac{6}{5}[/tex]

Answer: 6/5

Step-by-step explanation:

trust me

2. the new principal is $58,254.26. For payment 329, find the following:
a) The interest on $58,254.26
$
b) The payment to principal
$
c) The new principal
$

Answers

The interest on $58,254.26 was calculated to be $146.38, the payment to principal was calculated to be $182.62, and the new principal was calculated to be $58,071.64.

What is payment?

Payment is the transfer of funds from one party to another in exchange for goods, services, or to fulfill a legal obligation. Payment can take various forms, including cash, check, credit card, money order, or electronic transfer. Payment can be made in person, over the phone, or online. The most important aspect of payment is that it is a legally binding contract between two parties. Payment is an important part of the economic system that facilitates the exchange of goods and services and helps to ensure that all parties involved receive what they expect from the transaction.

The interest on $58,254.26:
To calculate the interest on $58,254.26, we first need to determine the interest rate. Assuming that the interest rate is 3%, we can calculate the interest owed as follows:

Interest = Principal x Interest Rate x Time

Interest = $58,254.26 x 0.03 x 1/12

Interest = $146.38

b) The payment to principal:
To calculate the payment to principal, we need to subtract the interest from the total payment amount.

Payment to Principal = Total Payment – Interest

Payment to Principal = $329 - $146.38

Payment to Principal = $182.62

c) The new principal:
To calculate the new principal, we need to subtract the payment to principal from the original principal.

New Principal = Original Principal – Payment to Principal

New Principal = $58,254.26 - $182.62

New Principal = $58,071.64

In conclusion, the interest on $58,254.26 was calculated to be $146.38, the payment to principal was calculated to be $182.62, and the new principal was calculated to be $58,071.64.

To know more about payment click-
https://brainly.com/question/29616806
#SPJ1

help mee with this question

Answers

Answer: 22

Step-by-step explanation:

The first one is 10.

The other 2 has 6, because 10-4=6

So

10+(6x2)=22

What is the diameter of a hemisphere with a volume of 62617 cm³, to the nearest tenth of a centimeter?

Answers

The diameter of the hemisphere to the nearest tenth of a centimeter is 62.1 cm.

What is hemisphere?

A hemisphere is a three-dimensional geometric shape that consists of a half-sphere, which is a curved surface that is shaped like the surface of a ball, and a flat circular base that lies on a plane perpendicular to the sphere's axis of symmetry. A hemisphere can be thought of as the three-dimensional analogue of a circle.

The volume of a hemisphere is given by the formula:

V = (2/3)π[tex]r^3[/tex]

where V is the volume and r is the radius of the hemisphere.

We are given the volume of the hemisphere as 62617 [tex]cm^3.[/tex]

So, we have:

62617 = (2/3)π[tex]r^3[/tex]

Multiplying both sides by 3/2π, we get:

[tex]r^3[/tex] = 62617 * (3/2π)

Simplifying, we get:

[tex]r^3[/tex] = 29897.4152

Taking the cube root of both sides, we get:

r ≈ 31.04

The diameter of the hemisphere is twice the radius, so:

d = 2r ≈ 62.08

Rounding to the nearest tenth, we get:

d ≈ 62.1

Therefore, the diameter of the hemisphere to the nearest tenth of a centimeter is 62.1 cm.

To learn more about algebraic expression visit:

https://brainly.com/question/4344214

#SPJ1

complete the square to determine all solutions for x^2-4x=2

Answers

Answer: To complete the square, we need to add and subtract the square of half the coefficient of x:

x^2 - 4x = 2

x^2 - 4x + 4 = 2 + 4 (adding and subtracting 4)

(x - 2)^2 = 6

Now we take the square root of both sides:

x - 2 = ±√6

Adding 2 to both sides gives:

x = 2 ± √6

So the solutions are:

x = 2 + √6, 2 - √6

Step-by-step explanation:

I have an Amazon account that I pay a flat rate of $8 a month. With it, I get free movies and shows. However, any premium movie I purchase costs me $4 more. If I spent $24 last month, how many premium movies did I buy?

The equation would be set up as shown below:

(Let x represent the amount of premium movies I bought.)

4x + 8 = 24

next: subtract 8 from both sides = 4x = 16

then: divide both sides by 4, which gives us our answer = x = 4

So I purchased 4 premium movies.

What are your examples or equations in your day-to-day life

Answers

this is corrcet well done

There are some sandwiches on the shelf.

Answers

Answer:

367

Step-by-step explanation:

Places in the alphabet:
T=20, H=8, E=5, R=18, E=5. 20+8+5+18+5=56. THERE=56
A=1, R=18, E=5. 1+18+5=24. ARE=24
S=19, O=15, M=13, E=5. 19+15+13+5=52. SOME=52
S=19, A=1, N=14, D=4, W=23, I=9, C=3, H=8, E=5, S=19. 19+1+14+4+23+9+3+8+5+19=105. SANDWICHES=105
O=15, N=14. 15+14=29. ON=29
T=20, H=8, E=5. 20+8+5=33. THE=33
S=19, H=8, E=5, L=12, F=6. 19+8+5+12+6=49. SHELF=49
56+24+52+19+105+29+33+49=367

the diameter of each tire on a vehicle is 32 inches. if the tires are moving at a rate of 800 revolutions per minute, find the linear speed of the vehicle in miles per hour.

Answers

Answer:

The linear speed of the vehicle is approximately 0.798 miles per hour.

Step-by-step explanation:

The circumference of a tire is given by the formula C = πd, where d is the diameter of the tire. So, the circumference of each tire is:

C = πd = π(32 inches) ≈ 100.53 inches

Now, to find the distance that the vehicle travels in one revolution of each tire, we use the circumference formula again:

distance traveled in one revolution = circumference of the tire = 100.53 inches

Since the tires are rotating at a rate of 800 revolutions per minute, the vehicle travels a distance of:

distance traveled in one minute = distance traveled in one revolution × number of revolutions per minute

= 100.53 inches/revolution × 800 revolutions/minute

= 80424 inches/minute

To convert this to miles per hour, we need to divide by the number of inches per mile and the number of minutes per hour:

speed = (80424 inches/minute) × (1 mile/63360 inches) × (60 minutes/1 hour)

≈ 0.798 miles/hour

Therefore, the linear speed of the vehicle is approximately 0.798 miles per hour.

A circular garden has a circumference of 40.25 feet. Find the approximate diameter of the garden. Use 3.14 for π. Round to the nearest hundredth if necessary.

Answers

The approximate diameter of the garden is 12.82 feet.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter.

Here, we have

Given: A circular garden has a circumference of 40.25 feet.

We have to find the diameter of the garden.

The formula for the circumference of a circle is given as 2πr.

We have to find the radius of the circular garden

Hence: 2πr = 40.25m

π = 3.14

To find the radius, the formula would be given as

r = C/2π

Where C = Circumference of the circle

r = (40.25/2)x 3.14

r = 63.195

d =  C/π

d = 40.25/3.14

d = 12.82

Hence, the approximate diameter of the garden is 12.82 feet.

To learn more about the circumference from the given link

https://brainly.com/question/27447563

#SPJ1

Ted invests in an annuity which earns 6.2% annual interest and he contributes $250 per month for 30 years. If Ted wants to perform some calculations to determine his future value, what formula would Ted use?

Answers

The future value of Ted's investment after 30 years would be approximately $13,711.86.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

Ted can use the formula for the future value of an annuity to calculate the future value of his investment:

FV = Pmt x (([tex](1 + r)^{n}[/tex]) - 1) / r

Where:

FV = Future Value

Pmt = Payment per period (monthly in this case)

r = Interest rate per period (monthly in this case)

n = Number of periods (in this case, 30 x 12 = 360 months)

Substituting the given values, we get:

FV = $250 x (([tex](1 + 0.062/12)^{360}[/tex] - 1) / (0.062/12)

FV = $250 x (283.8576) / 0.0051667

FV = $13,711.86

Therefore, the future value of Ted's investment after 30 years would be approximately $13,711.86.

To learn more about statistics from the given link:

https://brainly.com/question/28053564

#SPJ1

Mr. Campbell has just purchased supplies for his classroom. He bought 76 markers, 31 rulers, and one projector. The markers cost 0.90 each, the rulers 1.60 each, and the projector 97.95 . What was the total amount that he spent?

Answers

Answer:

215.95

Step-by-step explanation:

68.4+49.6+97.95

select the correct answer from each drop-down menu. a bag contains five tiles numbered 1 through 5. savannah randomly selects a tile from the bag, replaces the tile, and then draws a second tile. when savannah selects her tiles, selecting the first tile and selecting the second tile are (options on drop down. independent or dependent) events. the probability that the numbers on both tiles are even is (choices on drop down. 20, 40, 10, 16)%.

Answers

Selecting the first tile (1st) and selecting the secοnd tile (2nd) are independent events.

The prοbability οf selecting an even number οn a single draw is 2/5 οr 0.4, as there are twο even numbers (2 and 4) οut οf a tοtal οf five pοssible numbers.

Since the events are independent, the prοbability οf selecting an even number οn bοth draws is the prοduct οf the prοbabilities οf selecting an even number οn each draw:

P(bοth even) = P(even οn first) × P(even οn secοnd) = 0.4 × 0.4 = 0.16

Sο the prοbability that the numbers οn bοth tiles are even is 16%.

To learn more about independent events, visit:

https://brainly.com/question/27665211

#SPJ1

A swimmer dives into a lake and swims to the surface in a parabolic path. path of the swimmer can be modeled by the equation
h (t) = t - 4t-where h is the height in
feet, and t is the time in seconds.
Complete the statement.
The diver will reach the surface of the water
after seconds.

Answers

Answer:

the diver will reach the surface of the water after 1/4 seconds.

Step-by-step explanation:

To find when the swimmer reaches the surface of the water, we need to set h(t) to zero since the surface of the water is at a height of zero feet.

0 = t - 4t^2

Simplifying the equation, we get:

4t^2 = t

4t^2 - t = 0

t(4t - 1) = 0

So, either t = 0 (which corresponds to the initial time when the swimmer is at the surface) or 4t - 1 = 0. Solving for t, we get:

4t - 1 = 0

4t = 1

t = 1/4

Therefore, the diver will reach the surface of the water after 1/4 seconds.

Suppose that the distribution of scores of 1,000 students who take a standardized intelligence test is a normal distribution. Also, suppose that the​ distribution's mean is 470 and its standard deviation is 10.

Answers

This information can be used to understand the performance of the students and Evaluate their scores in relation to the overall group.

Suppose that the distribution of scores of 1,000 students who take a standardized intelligence test is a normal distribution. In this scenario, the distribution's mean is 470 and its standard deviation is 10.

A normal distribution, also known as a Gaussian distribution or bell curve, is a symmetric distribution where the majority of the data falls around the mean value. In this case, the mean score is 470, which represents the average intelligence score for the 1,000 students. The standard deviation, which is 10 in this case, measures the dispersion or spread of the data around the mean.

To interpret the scores, we can use the empirical rule, which states that approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Applying this rule:
- About 68% of the students scored between 460 (470-10) and 480 (470+10).
- Approximately 95% of the students scored between 450 (470-2*10) and 490 (470+2*10).
- Around 99.7% of the students scored between 440 (470-3*10) and 500 (470+3*10).

This information can be used to understand the performance of the students and evaluate their scores in relation to the overall group.

To Learn More About Evaluate

https://brainly.com/question/1719822

SPJ11

use double angle identity to simplify the following expression
tan 12 degrees/1-tan^2 12 degrees

Answers

Answer: We can use the double angle identity for tangent, which states that:

tan(2θ) = 2tan(θ) / (1 - tan²(θ))

to simplify the expression.

Let θ = 6 degrees, then we have:

tan(2θ) = tan(12 degrees)

tan(2θ) = 2tan(θ) / (1 - tan²(θ))

tan(12 degrees) = 2tan(6 degrees) / (1 - tan²(6 degrees))

We can use the tangent half-angle identity to find tan(6 degrees), which states that:

tan(θ/2) = sin(θ) / (1 + cos(θ))

Letting θ = 12 degrees, we get:

tan(6 degrees) = sin(12 degrees) / (1 + cos(12 degrees))

We can then use the double angle identity for sine, which states that:

sin(2θ) = 2sin(θ)cos(θ)

to simplify sin(12 degrees). Letting θ = 6 degrees, we get:

sin(12 degrees) = 2sin(6 degrees)cos(6 degrees)

We can use the half-angle identity for cosine to find cos(6 degrees), which states that:

cos(θ/2) = √((1 + cos(θ)) / 2)

Letting θ = 12 degrees, we get:

cos(6 degrees) = √((1 + cos(12 degrees)) / 2)

Substituting these values into the original expression, we get:

tan(12 degrees) = 2tan(6 degrees) / (1 - tan²(6 degrees))

tan(12 degrees) = 2(sin(12 degrees) / (1 + cos(12 degrees))) / (1 - (sin²(12 degrees) / (1 + cos(12 degrees))²))

tan(12 degrees) = 2(2sin(6 degrees)cos(6 degrees) / (1 + cos(12 degrees))) / (1 - (4sin²(6 degrees)cos²(6 degrees) / (1 + cos(12 degrees))²))

tan(12 degrees) = (4sin(6 degrees)cos(6 degrees)) / (1 + cos(12 degrees) - 4sin²(6 degrees)cos²(6 degrees))

This is the simplified expression using the double angle identity.

Step-by-step explanation:

Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. What is the probability of there being no defects in the entire shipment?

Answers

The probability of there being no defects in the entire shipment is 0.2075.

What is probability?

Probability can be used to calculate an event's probability. It can only be used to assess the possibility that an event will occur. A scale from 0 to 1, where 0 is impossible and 1 is a particular occurrence.

We are given that out of the 400 components, 68 are defective and 332 are non-defective computer components.

A random sample of 25 is taken.

So,

⇒ Probability (Defects in the shipment) =  [tex]\frac{68}{400}[/tex]

⇒ Probability (Defects in the shipment) = 0.17

Thus,

⇒ Probability (No Defects in the shipment) =25 * (1 - 0.17)

⇒ Probability ( No Defects in the shipment) = 25 * (0.83)

⇒ Probability ( No Defects in the shipment) = 0.2075

Hence, the probability of there being no defects in the entire shipment is 0.2075.

Learn more about probability from the given link

brainly.com/question/24756209

#SPJ1

if correct brainest! look at picture

Answers

Answer:

x = 47

Step-by-step explanation:

All angles in a triangle ALWAYS add up to 180 degrees, so to find a missing angle, subtract what is already given. It will be 180 - (102+31), which is the same as 180-133 which equals 47. The basic rule is to subtract given angels from 180 to find the missing side.

rule 1
the output is the square of the input rule 2 the out put is 90 greater than the input

Answers

Rule 1: The output is the square of the input. For example, if the input is 3, then the output would be 9 (3 squared).

Rule 2: The output is 90 greater than the input. For example, if the input is 3, then the output would be 93 (3 + 90).

These are the two rules you've provided, and they describe how to calculate the output (y) based on the input (x).
Rule 1: The output is the square of the input.
In this rule, when you have an input value (let's call it x), you square it (multiply it by itself) to get the output value (y). Mathematically, this can be written as:
[tex]y = x^2[/tex]
Rule 2: The output is 90 greater than the input.
In this rule, when you have an input value (x), you add 90 to it to get the output value (y).

Mathematically, this can be written as:
y = x + 90.

For similar question on rules.

https://brainly.com/question/1535959

#SPJ11

savanna built a rectangular pen got her goat that was 20 yards long and 15.4 yards wide. what is the area of this pen?

Answers

Answer:

308 yards^2

Step-by-step explanation:

Area = length * width

Length = 20

Width = 15.4

20 * 15.4 = 308

Answer: 308 yards

Step-by-step explanation:

Y varies inversley with x. If y = -2 when x = 6, find the value of y when x = -12.

Answers

The value of y for the inverse variation when x = -12 is derived to be equal to 1.

What is inverse variation

Inverse variation is a mathematical relationship between two variables, in which an increase in one variable leads to a proportional decrease in the other variable. Mathematically, inverse variation can be expressed as y = k/x, where y and x are the two variables, k is a constant of proportionality, and the product of y and x is always equal to k.

when x = 6 and y = -2, then k is derived as:

-2 = k/6

k = -12 {cross multiplication}

when x = -12, y is derived as:

y = -12/-12

y = 1

Therefore, the value of y for the inverse variation when x = -12 is derived to be equal to 1.

Read more about inverse variation here:https://brainly.com/question/10252139

#SPJ1

Solve for x. Please due soon

Answers

The value of x for measure a base angle for the isosceles trapezoid is equal to 25°.

What is an Isosceles trapezoid

This is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.

angle C is equal to angle D so;

3x + 1 = 76°

3x = 76° - 1 {subtract 1 from both sides}

3x = 75°

x = 75°/3 {divide through by 3}

x = 25°

Therefore, the value of x for measure a base angle for the isosceles trapezoid is equal to 25°.

Know more about Isosceles trapezoid here:https://brainly.com/question/10187910

#SPJ1

Translate the argument to symbols and use a truth table to determine whether the argument is valid or invalid.
If it rains, then I will watch the Real World marathon.
It did not rain.
.. I did not watch the Real World marathon.
Let p="It rains," and let q="I will watch the Real World marathon."
Part: 0/4
Part 1 of 4
(a) Write the argument in symbols.
Translated into symbols:
If it rains, then I will watch the Real World marathon.
It did not rain.
.. I did not watch the Real World marathon.

Answers

The argument to symbols of the logic expression is shown below

Translating the argument to symbols

From the question, we have the following parameters that can be used in our computation:

If it rains, then I will watch the Real World marathon.It did not rain.I did not watch the Real World marathon.

The argument in symbols can be expressed as:

p -> q

~p

Therefore, ~q

Where:

p = "It rains."

q = "I will watch the Real World marathon."

"->" denotes "implies".

"~" denotes "not".

So the argument can be read as "If it rains, then I will watch the Real World marathon. It did not rain.

Therefore, I did not watch the Real World marathon."

Read more about logic expression at

https://brainly.com/question/14458200

#SPJ1

A company that teaches self-improvement seminars is holding one of its seminars in Wildgrove. The company pays a flat fee of $164 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $8 to purchase books and supplies. Each attendee will pay $49 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?

Answers

The company's total expenses and revenues will both be $196 when 4 attendees register.

What is Algebraic expression ?

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, that represents a quantity or a relationship between quantities.

Let's assume that the company's goal is to break even, which means that their total revenue should be equal to their total expenses.

Let's represent the number of attendees by "x." For the company to break even, the total revenue earned from x attendees must be equal to the total expenses incurred.

Total Expenses = Fixed Cost + Variable Cost

Fixed cost = Facility rent fee = $164

Variable cost = Books and supplies per attendee = $8

Total Expenses = $164 + $8x

Total Revenue = Price per attendee x Number of attendees = $49x

To find the break-even point, we set the total revenue equal to the total expenses and solve for x:

$49x = $164 + $8x

$41x = $164

x = 4

Therefore, the company needs to have 4 attendees to break even.

To calculate the total expenses and revenues, we can substitute x = 4 into the equations we derived above:

Total Expenses = $164 + $8(4) = $196

Total Revenue = $49(4) = $196

Therefore, the company's total expenses and revenues will both be $196 when 4 attendees register.

To learn more about Algebraic expression from given link.

brainly.com/question/31238826

#SPJ1

one paycheck is $250 less than another. The sum of the two checks is &1628. how much is each check written for.?

Answers

Answer: $939 and $689

Step-by-step explanation:

     We can create a system of equations to help us solve. Let x be one and y be the other paycheck.

           y = x - $250

           y + x = $1,628

     Next, we can solve the system of equations by graphing. The point of intersection is our solution. See attached. This gives us (939, 689), so one check was written for $939 and one was written for $689.

Need to find x using the Pythagorean Theorem

Answers

Answer:

1. 15

2. 26

3. ≈ 7.62

4. 8

5. ≈ 23.24

6. √2

7. ≈ 19.42

8. 18

9. x≈10.29 y≈5.83

Step-by-step explanation:

Use a²+b²=c² throughout the problems and plug in the given sides and hypothenuse.

1. 9²+12²=c²

81+144=225

√225 = 15

2. 10²+24²=c²

100+576=676

√676=26

3. 7²+3²=c²

49+9=58

√58 ≈ 7.62

4. a²+6²=10²

a²+36=100

a²=64

x=8

5. a²+6²=24²

a²+36=576

a²=540

x≈ 23.24

6. 1²+1²=c²

1+1=2

x=√2

7. a²+8²=21²

a²+64=441

a²=377

x≈ 19.42

8. a²+24²=30²

a²+576=900

a²=324

x=18

9. for x:

9²+5²=x²

81+25=106

√106 ≈10.29

x ≈10.29

for y:

5²+3²=y²

25+9=34

√34 ≈5.83

y ≈5.83

boom shakalaka

Select the correct answer. Which expression is equivalent to the given expression? 4 in x + in 3 - in x

Answers

Answer:

The expression 4 in x + in 3 - in x can be simplified using logarithmic rules: 4 in x + in 3 - in x = in x^4 + in 3 - in x = in (x^4 * 3 / x) = in (3x^3) Therefore, the expression is equivalent to in (3x^3).

Which of the following are the next three terms in the sequence (1, 2, 3, 9, -27, 81, ..}?​

Answers

The next three terms are:

-243, 729, -2187

URGENT NEED HELP PLEASE ♥️

Can someone give me the answer and explain how they solved it

log 2 + 1

Answers

Answer:

(i) log 1 base 2 = log_{2} 1 =1.30103

Step-by-step explanation:

pl z give me brainliest i don't have any

which number line shows the solotion to one fourth r plus one < five

Answers

After looking at the provided number lines, it is clear that the number line (B) accurately reflects 1/4 + 1 < 5.

What is a number line?

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics.

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

A number on the left of a number line is always smaller than a number on the right.

A number to the right is always greater than a number to the left, too.

So, the inequality we have is:

1/4 + 1 < 5

Now, after observing the given lines, we can easily tell that the number line (B) represents 1/4 + 1 < 5 perfectly.

Therefore, after looking at the provided number lines, it is clear that the number line (B) accurately reflects 1/4 + 1 < 5.

Know more about the number line here:

https://brainly.com/question/24644930

#SPJ1

Complete question:

Which number line shows the solution to 1/4 + 1 < 5

Other Questions
in each case, from the coordinates of the given point, write the rule of the quadratic functiona: (6, 216)b: (-4, 128)c: (7, -490)d: (0.5, 8)e: (-4.5, -40.5)f: (8, 16)g: 8, 1/2)h: 9, 275.4)I: (10, -48) In Mrs. Franklin's kindergarten class, children make handprints in a round clay mold for their parents. The mold has a radius of 2 inches. What is the mold's circumference? on a paper chromatogram, the solvent front traveled 6.0 cm and the sample spot traveld 4.2 cm. what is the rf for that sample? Robert is on a diet to lose weight before his Spring Break trip to the Bahamas. He is losing weight at a rate of 2 pounds per week. After 6 weeks, he weighs 205 pounds. Write and solve a linear equation to model this situation. There should be at least 3 lines of work. suppose that the local government of jacksonville decides to institute a tax on seltzer producers. before the tax, 45,000 packs of seltzer were sold every week at a price of $10 per pack. after the tax, 38,000 packs of seltzer are sold every week; consumers pay $15 per pack, and producers receive $6 per pack (after paying the tax). the amount of the tax on a pack of seltzer is $ per pack. of this amount, the burden that falls on consumers is $ per pack, and the burden that falls on producers is $ per pack. true or false: the effect of the tax on the quantity sold would have been the same as if the tax had been levied on consumers. true false healthy individuals who choose not to purchase health insurance but then later need health care and will likely receive some care even though they are uninsured are referred to as: find the area and perimeter of the figure. show your work. (start by finding the missing side lengths) PLEASE HELP ASAP Movie: "purple hearts" from Netflix1. What is the main theme of the movie? How could you determine it?2. Of the film observed, what aspect do you consider the one with the greatest impact for your academic performance? Why? Why?3. What topics or situations observed in the film can you apply to your personal life? Why? Why?4. What topics or situations observed will be beneficial for your future work and professional performance? Why? Why?5. What ethical issues are observed through the film? How will these issues help you decide how to act ethically and professionally? In ducks, long bills (B) is dominant over short bills (b). A heterozygous long-bill duck is crossedwith a short-bill duck.of whiteAnswer:3. What is the genotype of the parent ducks?4. What is the phenotype of the second duck? Answer:5. What is the expected phenotypic ratio?Answer: a fraud examiner is examining a subscription magazine company. which of the following schemes are they most concerned about the company perpetrating, given its industry? a. failure to record liabilities b. reporting revenue rather than a liability c. failing to record contingencies d. reporting a liability rather than revenue Why is climate change one of the most pressing issues that humans will face to survive as a species? Is 5x^2 - 2x a polynomial? protists are extremely diverse and thus pose a challenge to their classification. which statement is not true concerning protists and their classification? Please help! Whoever answers right get brainliest! SOEMEONE AWNSEER BRU.Reggie wants to conduct a survey of the opinions of the customers in the pizzeria. Which survey sample would give the most accurate results?Ask every third child in the restaurant Ask each server in the pizzeria.Ask the manager every shift.Ask Random customers as they enter the pizzeria.Ask each server in the pizzeria. Find the product.[675]a.b.6715TYT-1TYT6 7 5-4 -4 -1-24-28d. [-57] a weather balloon filled with he gas has a volume of 2.00x 103 m3 at ground level, where the atmospheric pressure is 1.000 atm and the temperature is 27 oc. after the balloon rises high above earth to a point where the atmospheric pressure is 0.340 atm, its volume increases to 5.00x103 m3. what is the temperature of the atmosphere at this higher altitude? 2(x +3) = 2x + 6 is an example of which property? an auditor testing investments would ordinarily use analytical procedures to ascertain the reasonableness of the existence of unrealized gains or losses. classification as available-for-sale or trading securities. valuation of trading securities. completeness of recorded investment income. please write a personal mission statement for yourself as a student at cmsru. how will cmsru help you fulfill your mission?