Annual sales for a fast food restaurant are $649,995 and increasing at a rate of 3.5% per year. Use an exponential function to find the annual sales after 8 years.

The probability that more than 7 out of the 15 undergraduates in the sample say that they have received hurtful comments online in the past 30 days is 0.0075

The situation you are describing follows a binomial distribution with parameters n = 15 and p = 0.25, where n is the sample size and p is the probability of receiving mean or hurtful comments online in the past 30 days.

We want to find the probability that more than 7 out of the 15 undergraduates in the sample say that they have received hurtful comments online in the past 30 days. This can be expressed as

P(X > 7) = 1 - P(X ≤ 7)

where X is the number of undergraduates in the sample who say that they have received hurtful comments online in the past 30 days.

To calculate this probability, we need to use either a binomial distribution table or a calculator that can perform binomial calculations. Using a binomial distribution table, we can find that

P(X ≤ 7) = 0.9925

Therefore,

P(X > 7) = 1 - P(X ≤ 7) = 1 - 0.9925 = 0.0075

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The given question is incomplete, the complete question is:

A survey of 4972 U.S. students aged 12 to 17 years reveals that 25% have received mean or hurtful comments online in the past 30 days.19 You take a random sample of 15 undergraduates and ask them whether they have received mean or hurtful comments online in the past 30 days. The rate at your university matches this 25%. What is the probability that more than 7 of the 15 undergraduates in your sample say that they have received hurtful comments online in the past 30 days?

Answer:

Which of the following statements is true about the dataset below?

4, 2, 0, 3, 2, 1, 9, 6, 4, 5

The mean is 3.6

The median is 3.5

The mode is 2 and 4

Thus the statements that are true are:

The mean is larger than the median.

- The mean and the median are equal. This is not true because the mean is 3.6 while the median is 3.5.

- There is only one mode. This is incorrect because there are 2 modes, 2 and 4 both repeat twice.

- The median is larger than the mean. This is also incorrect because 3.5 is not bigger than 3.6.

Step-by-step explanation:

You're welcome.

Answer: i can answer the first one but the second one i might get wrong

Step-by-step explanation:

for the first question answer B because external lights do not help unless it is dark, you need your battery to start the car and your fluids to keep the car running, your windshield's keep the raid and weather from entering your car as well as stopping you from flying out the window. Your mirrors help you keep track of whats behind you and showing you if you have enough space to turn.

now for the second question i would say in the manual of your car because every car has a manual to read on how to work the car/fix it

Answer:

Step-by-step explanation:

What are the main categories of electors in India?

Ans.- There are 3 categories of electors in India: –

(i)    General electors,

(ii)    Oversees   (NRI)   electors    -    (   Kindly   refer   to   ‘Frequently   Asked Questions – Overseas Electors’),

(iii)    Service Electors - (Kindly refer to ‘Frequently Asked Questions – Service Electors’).

Q2. Who is eligible to be registered as a general elector?

Ans. Every Indian citizen who has attained the age of 18 years on the qualifying date i.e. first day of January of the year of revision of...

faqs

resident electors

Answer:

45 %

Step-by-step explanation:

11/20 = 55%

100% -55% = 45%

The measure of [tex]\angle D[/tex] is 13.

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

given:

[tex]m\angle C=-3x+58[/tex] and [tex]m\angle D=x-2[/tex]

As, [tex]\angle C[/tex] and [tex]\angle D[/tex] are vertical angles

so,

[tex]m\angle C= m\angle D[/tex]

[tex]-3x+58 = x-2[/tex]

[tex]-3x -x = -2-58[/tex]

[tex]-4x = -60[/tex]

[tex]x= 15[/tex]

So, [tex]m\angle D= x-2= 15-2 = 13[/tex]

Hence, the value of [tex]m\angle D[/tex] is 13.

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The required perimeter of the given triangle EFG is 25.7 units.

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

Triangle ABC is the designation for a triangle with vertices A, B, and C.

In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

The easiest approach I've found to know for sure if an angle is 90 degrees is to use the 3:4:5 triangle.

So, the formula that will be used here would be:

d = √(y₂-y₁)²+(x₂-x₁)²

Get EF:

E(-8,1) = (x1, y1)

F(1,1) = (x2, y2)

Substitute the values:

EF = √[(1−(−8))² + (1−1)²]

EF = √[(9)² + (0)²]

EF = √81

EF = 9 units

Get FG:

F(1,1) = (x1, y1)

G(-3,8) = (x2, y2)

Insert the values as follows:

FG = √[(−3−1)² + (8−1)²]

FG = √[(−4)² + (7)²]

FG = √65

FG ≈ 8.1 units

Obtain EG:

E(-8,1) = (x1, y1)

G(-3,8) = (x2, y2)

Insert the values:

EG = √[(−3−(−8))² + (8−1)²]

EG = √[(5)² + (7)²]

EG = √74

EG ≈ 8.6 units

Perimeter of triangle EFG = 9 + 8.1 + 8.6

The perimeter of triangle EFG = 25.7 units

Therefore, the required perimeter of the given triangle EFG is 25.7 units.

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Correct question:

The points E(-8,1)(−8,1), F(1,1)(1,1), and G(-3,8)(−3,8) form a triangle. Plot the points then click the "Graph Triangle" button. Then find the perimeter of the triangle. Round your answer to the nearest tenth if necessary. NO NEED TO PLOT THE POINTS JUST FIND THE PERIMETER...

The required perimeter of the given figure is 68 units.

A boundary is a closed path that encloses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length.

The circumference of a circle or ellipse is called the perimeter.

Perimeter calculations have several practical applications.

Perimeter is the distance around the object.

For example, your house has a fenced garden.

The perimeter is the length of the fence.

If the yard is 50 feet by 50 feet, the fence length will be 200 feet.

So, the perimeter of the given figure:

= 10 + 4 + 2 + 12 + 6 + 6 + 6 + 2 + 12 + 4 + 4

= 68 units

Therefore, the required perimeter of the given figure is 68 units.

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Complete question:

Use the figure below to answer the following questions. NOT TO SCALE!

10

12

POSSIBLE POINTS A

Give the perimeter of the figure.

Answer:

  x = 12

Step-by-step explanation:

You want to know the value of x when two tangents from the same point to the same circle are marked (4x-7) and (2x+17).

Tangents to a circle from a common point are the same length:

  4x -7 = 2x +17

  2x = 24 . . . . . . . . add 7-2x

  x = 12 . . . . . . . divide by 2

Answer: Correct me if I'm wrong but it should be about 1/4th of a meter

Answer:

b

Step-by-step explanation:

We need to divide the distances into  2+3 segments then add two of these as follows

for x   from   -5 to 6 is +11   divide by 5  = +11/5  add two of these to -5 to get   x = -0.6

for y   from   4 to 9 is 5 units  divide by 5 segments =1     add two of these to 4 to get   y = 6

logarithmic function f(x) = log4(x) related to the exponential function x f(x) = 4x -2 f(-2) = 4-2 = (1/4)2 = 1/16 -1 f(-1) = 4-1 = (1/4)1 = 1/4 0 f(0) = 40 = 1 1 f(1) = 41 = 4 2 f(2) = 42 = 16

Logarithm Function

x g(x) = log4x

1/16 g(1/16) = log4(1/16) = log4(1/4)2 = log4(4)-2 = -2(log44) = -2(1) = -2

1/4 g(1/4) = log4(1/4) = log4(1/4)1 = log4(4)-1 = -1(log44) = -1(1) = -1

1 g(1) = log4(1) = log4(4)0 = 0(log44) = 0(1) = 0

4 g(4) = log4(4) = log4(4)1 = 1(log44) = 1(1) = 1

16 g(16) = log4(16) = log4(4)2 = 2(log44) = 2(1) = 2

In math, the logarithm is the opposite capability of exponentiation. That implies the logarithm of a number x to the base b is the type to which b should be raised, to deliver x. For instance, beginning around 1000 = 103, the logarithm base 10 of 1000 is 3, or log10 (1000) = 3. The logarithm of x to base b is meant as log (x), or without enclosures, log x, or even without the express base, log x, when no disarray is conceivable, or when the base doesn't make any difference like in huge O documentation.

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Answer:

It would fall on the upper line.

Step-by-step explanation:

I can look at each line and see the equation for each.

The equation for the upper line y = x + 5 and the equation for the lower line is y = x - 3. I then substitute the aforementioned point into each equation and see which is correct. The point is a solution of the first equation, therefore it falls on the upper line.

Answer:

Big one! 6 43/72

Step-by-step explanation:

First, you need to get rid of the fractions. So, we move aside the two 3's and focus on the fractions.  This can be done with this formula:

((A × D) + (B × C)) / B × D

Plug the numbers in and you get:

((3 × 9) + (8 × 2)) / 8 × 9

(27 + 16) / 72

43/72

Then, we add the 3's together and you get:

6 43/72

Answer:

mAngleB = 172°

Step-by-step explanation:

"vertical angles" means that the angles are equal to each other.

We can write an equation:

7x + 4 = 8x - 20

subtract 7x from both sides.

4 = x - 20

add 20 to both sides

24 = x

Then, the question asks for the measure of AngleB.

AngleB

= 8x - 20

= 8(24) - 20

= 192 - 20

= 172

mAngleB = 172°

Answer:

-14

Step-by-step explanation:

Move 4y to the right side making the equation 5x=61+4y

Then divide both sides by 5 making the equation

5x/5 = 61/5 + 4y/5

x = 61 + 4y/5

Multiply both sides by 5 making the equation 61 + 4y = 5

Move 61 to the right side making it negative which makes the equation

4y = 5-61

Divide -56 by 4 because we moved the 4 to the right side

Answer for #1 will be -14

The other one I have no idea am sorry

The solution of the Equation is x= 9 and y= -3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

5x - 4y = 61

and, 3x + y= 23

Now, solving the above equation we get

5x + 12x = 61 + 92

17x = 153

x= 9

and, y = 23- 27 = -4

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Variable: y

Sum: (4y + 8) ÷ 6 – 12

Quotient: (4y + 8) ÷ 6

Coefficient: 44 (in 44y)

The tax rate for social security is 6.0%, and the amount of wages subject to this tax is $350,000, Social security tax =$21,000 , Medicare tax = $5,250 , State unemployment tax =$2,835 , Federal unemployment tax =  $420 and Total taxes = $29,505 .

To calculate the amount of taxes that Widmer Company owes for the week ended June 17, we need to calculate each tax separately and then add them together.

First, let's calculate the social security tax. The tax rate for social security is 6.0%, and the amount of wages subject to this tax is $350,000. So:

Social security tax = 6.0% x $350,000 = $21,000

Next, let's calculate the Medicare tax. The tax rate for Medicare is 1.5%, and the amount of wages subject to this tax is also $350,000. So:

Medicare tax = 1.5% x $350,000 = $5,250

Now let's calculate the state unemployment tax. The tax rate for state unemployment is 5.4%, and the amount of wages subject to this tax is $52,500. So:

State unemployment tax = 5.4% x $52,500 = $2,835

Finally, let's calculate the federal unemployment tax. The tax rate for federal unemployment is 0.8%, and the amount of wages subject to this tax is also $52,500. So:

Federal unemployment tax = 0.8% x $52,500 = $420

Now let's add up all of the taxes:

Total taxes = Social security tax + Medicare tax + State unemployment tax + Federal unemployment tax

Total taxes = $21,000 + $5,250 + $2,835 + $420

Total taxes = $29,505

This means that Widmer Company owes $29,505 in taxes for the week ended June 17.

Additionally, we are told that the total amount withheld from employee wages for federal taxes was $70,000. This means that the company must remit this amount to the federal government as federal income tax on behalf of its employees. The $70,000 does not affect the company's own tax liability, but rather is an amount owed to the federal government by the employees themselves.

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The value of x in the right triangle is  4√2 units.

Similar triangles are the triangles that have corresponding sides in ratio to each other and corresponding angles congruent to each other.

Therefore, the triangles are similar. Let's use this similarity to find the value of x in the triangles.

Hence, using proportion,

x / 8 = 4 / x

cross multiply

x² = 8 × 4

x² = 32

square root both sides of the equation

x = √32

x = √16 × 2

x = 4√2 units

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1. Probability of observing the microstate HHTHHH is (a) 5.47e-02.

2. Number of microstates consistent with the macrostate 6 Heads and 1 Tails is (d) 7.

Let's discuss it further below.

(a) To find the probability of observing the microstate HHTHHH, you need to calculate the probability of getting each result in the sequence. Since it is a fair coin, the probability of getting heads (H) is 1/2 and tails (T) is also 1/2.

Step 1: Calculate the probability for HHTHHH.
Probability = (1/2)⁶ = (1/64) = 0.015625 = 1.56e-02

So, the answer for the probability of observing the microstate HHTHHH is (a) 5.47e-02.

(b) To find the number of microstates consistent with the macrostate 6 Heads and 1 Tails, you need to find the number of ways to arrange 6 H's and 1 T in a sequence of 7 coin tosses.

Step 2: Use combinations formula: C(n, k) = n! / (k!(n-k)!)
In this case, n=7 (total coin tosses) and k=6 (number of heads).

C(7, 6) = 7! / (6!(7-6)!) = 7! / (6!1!) = 7

So, the answer for the number of microstates consistent with the macrostate 6 Heads and 1 Tails is (d) 7.

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Therefore , the solution of the given problem of percentage comes out to be invested now is $9,017.67. The response is (B).

The abbreviation "a%" is used to indicate a number or quantity to statistics that is expressed as a percentage of 100. Versions containing the characters "pct," "pct," and "pc" are also rare. The method that is most frequently used for this is the percentage symbol ("%"). Additionally, not hints nor a predetermined proportion for every part to the overall amount are known.

Here,

To calculate the present worth, we can use the compound interest formula:

=> P = A / (1 + r/n)^(n*t)

where P is the value in the present, A is the value in the future, r is the interest rate per year, n is the number of times the interest is multiplied annually, and t is the amount of time in years.

A = $12,868.21, r = 6.1%, n = 1 (compound annually), and t = 7 years in this instance. When these numbers are added to the formula, we obtain:

=>  P = 12,868.21 / (1 + 0.061/1)⁷

=>  P = 12,868.21 / (1.061)⁷

=>  P = $9,017.67

In order to amass $12,868.21 at a compound annual interest rate of 6.1% over a period of seven years,

the present value that should be invested now is $9,017.67. The response is (B).

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The equation of line t, which is parallel to line s and passes through point (–1,6), is y = -4x + 2.

We can start by finding the slope of line s, since line t is parallel to line s it will have the same slope.

y – 2 = –4(x + 1) [Given equation of line s in point-slope form]

y – 2 = –4x – 4 [Distribute -4 on the right side]

y = –4x – 2 [Add 2 to both sides to get the equation in slope-intercept form y = mx + b where m = slope and b = y-intercept]

So the slope of line s is -4.

Since line t is parallel to line s, it will also have a slope of -4. Now we can use the point-slope form of the equation of a line to find the equation of line t:

y - y1 = m(x - x1) [Point-slope form of the equation of a line]

We know that line t includes the point (–1,6), so x1 = –1 and y1 = 6. Also, the slope of line t is m = -4. Substituting these values in the point-slope form, we get:

y - 6 = -4(x - (-1))

y - 6 = -4(x + 1)

y - 6 = -4x - 4

y = -4x + 2

Therefore, the equation of line t is y = -4x + 2.

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Number of people that expected to do their shopping online in a sample of 60 is 46

To determine the expected number of people who do their shopping online in a sample of 60 people, you can use the following formula:

Expected number = Sample size x Percentage

Substituting the values from the question, we get:

Expected number = 60 x 0.76

Expected number = 45.6

Since you can't have a fractional person, you can round this up or down to the nearest whole number. In this case, it makes sense to round up, since you can't have a partial person.

Therefore, we can expect that about 46 people in a sample of 60

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Answer: False

Step-by-step explanation:

To determine if (1, -1) is a solution to the inequality y > -4x + 6, we need to substitute x = 1 and y = -1 into the inequality and see if it is a true statement.

-4(1) + 6 = 2, so the inequality becomes -1 > 2.

This is false, so (1, -1) is not a solution to the inequality y > -4x + 6.

Therefore, the statement is False.

Based on inductive reasoning the next two numbers in pattern -243 and 729.

Based on inductive reasoning:

The given pattern seems to be based on multiplication by -3. Each term in the sequence is obtained by multiplying the preceding term by -3. Specifically, to get from 9 to -27, we multiply 9 by -3; to get from -27 to 81, we multiply -27 by -3, and so on.

Using this pattern, we can find the next two numbers in the sequence as follows:

To find the 5th term, we need to multiply the 4th term (81) by -3. Thus, the 5th term will be -243.

To find the 6th term, we need to multiply the 5th term (-243) by -3. Thus, the 6th term will be 729.

The next two numbers in the pattern are -243 and 729.

We can also express this pattern using a recursive formula, where nth term is given by:

an = -3 * an-1, where a1 = -3.

Using this formula, we can generate any term in the sequence by multiplying the preceding term by -3.

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Answer:

$20

Step-by-step explanation:

Answer:

3rd

steps

On a coordinate plane, a cubic root function approaches the y-axis in quadrant 4, has a point of inflection at (2, negative 5), and then decreases and approaches x = 4

chatgpt

height of a ball thrown into the air can be modeled by a cubic function

The exponential model for the data is y = 153.07 ⋅ 0.93ˣ and the pulse rate after 16 minutes is 47.93

Given that

X: 0, 2,4,6,8,10,12

Y: 172,132,110,92,84,78,75

Using a graphing calculator to find an exponential model, we have

y = 153.07 ⋅ 0.93ˣ

When the number of minutes is 16, we have

y = 153.07 ⋅ 0.93¹⁶

Evaluate

y = 47.93

Hence, the pulse rate after 16 minutes is 47.93

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