For part b, both answers I got come up as incorrect so I need help figuring out what the correct answers are. Im not sure why they’re wrong, this is a Elementary Statistics homework problem

For Part B, Both Answers I Got Come Up As Incorrect So I Need Help Figuring Out What The Correct Answers

Answers

Answer 1

For the new height requirements, this branch of the military requires women's heights to be at least 2.52 in and at most 6.96in.

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex]  )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

We are given that;

Mean= 63.8 in

Standard deviation= 2.3 in

Requirement of women height= 58in - 80in.

Now,

To find the minimum and maximum height requirements for this branch of the military, we need to use the standard normal distribution formula, which converts any normal distribution to a standard normal distribution with a mean of 0 and a standard deviation of 1.

We can find the z-scores for the minimum and maximum heights as follows:

For the minimum height requirement:

z = (58 - 63.8) / 2.3 = -2.52

For the maximum height requirement:

z = (80 - 63.8) / 2.3 = 6.96

Using a standard normal distribution table or calculator, we can find the corresponding probabilities for these z-scores:

For a z-score of -2.52, the probability is 0.0059 or 0.59%

For a z-score of 6.96, the probability is very close to 1, or 100%

Therefore, the new height requirements for this branch of the military are:

At least 58 inches, which corresponds to a z-score of -2.52

At most 80 inches, which corresponds to a z-score of 6.96

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ1


Related Questions

Algebra nation question, i need help

Answers

By answering the above question, we may state that Graphical equation depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

What is equation?

When two assertions are connected by a mathematical equation, the equals symbol (=) is used to denote equality. In algebra, a mathematical statement that establishes the equivalence of two mathematical expressions is referred to as an equation. In the equation 3x + 5 = 14, for instance, the equal sign places a space between the integers 3x + 5 and 14. To comprehend the connection between the two phrases written on the opposing sides of a letter, utilise a mathematical formula. Frequently, the logo and the specific piece of software are the same. as in, for instance, 2x - 4 = 2.

Mathematicians use graphs to visually express or chart facts or values in a logical way. Usually, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

If 10% of a number is 12 and 35%% of the same number is 42, find 25%% of that number.
42 is not the answer

Answers

30. I say this because 10% of 120 is 12. So 25% which in fraction form is 1/4 would be 30. Another way of saying it is 30+30+30+30 = 120. Take 90 away and get 30

Answer:25% of the number is 30

Step-by-step explanation:

Let's call the number we're looking for "x". We can use the information given in the problem to set up two equations:

10% of x is 12:

0.1x = 12

35% of x is 42:

0.35x = 42

Now we can solve for x:

0.1x = 12

x = 120

0.35x = 42

x = 120

We get the same value for x from both equations, which confirms that our solution is correct. Now that we know x = 120, we can find 25% of that number:

25% of 120 = 0.25 x 120 = 30

Therefore, 25% of the number is 30.

Each morning Dillion walks to the bus stop before school. It takes him 120 seconds to get there. Over the course of the school year (180 days), how many hours does Dillon spend walking to the bus stop in the morning?

Answers

Answer:

Step-by-step explanation:

95 hours

If x = 3 and y = 4, find the value of: 2x-y

Please answer ASAP

Please

Answers

Plug in x and y
2(3) - 4
= 6 - 4
= 2

A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being even numbers is 9 over 36.

If the experiment is repeated 100 times, predict the number of times both spins will be even numbers.

25
36
50
100

Answers

The number of times both spins will be even numbers is 25.

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is represented by a number between 0 and 1.

It is given that the spinner is spun twice.

The theoretical probability of both spins being even numbers is = [tex]\frac{9}{36}[/tex]

When the experiment is repeated 100 times, the number of times both spins come out to an even number =  [tex]\frac{9*100}{36}[/tex]

                                                           = [tex]25[/tex]

Therefore, the number of times both spins will be even numbers is 25.

Learn more about the probability here:

https://brainly.com/question/7965468

#SPJ1

What are the possible values for From the diagram you know that the triangles have two pairs of congruent corresponding sides, that LM< _, and that m Please imma give brainlest
Help

Answers

The converse of the [tex]H[/tex]inge theorem indicates that the angle subtended by the segment [tex]\overline{LM}[/tex], (∠K) which is less than the length of the segment [tex]\overline{OP}[/tex], will be less than the measure of the angle subtended by the segment [tex]\overline{OP}[/tex], which is 90°

The possible values for angle ∠K is; m∠K < 90°What is the H-i-n-g-e Theorem?

The h-i-n-g-e theorem, which is also known as the open mouth theorem states that two triangles that have a pair of corresponding congruent sides and which have different measure of the included angle between the sides, then the third side of the triangle with the larger included angle will be longer.

The h-i-n-g-e theorem can be deduced from the triangle inequality theorem.

The corresponding congruent sides in the two triangles are;

[tex]\overline{KL}[/tex] is congruent to [tex]\overline{ON}[/tex], [tex]\overline{KM}[/tex] is congruent to [tex]\overline{NP}[/tex]

[tex]\overline{LM}[/tex] = 7 is less than [tex]\overline{OP}[/tex] = 9

Therefore;

[tex]\overline{LM}[/tex] < [tex]\overline{OP}[/tex]

m∠N = 90°, therefore, the converse of the h-i-n-g-e theorem, indicates that the angle subtended by the segment [tex]\overline{LM}[/tex] is less than the angle subtended by the angle [tex]\overline{OP}[/tex], which is 90°

The angle ∠K is less than the angle ∠N

m∠K < m∠N = 90°

m∠K < 90°

Learn more on the triangle inequality theorem here: https://brainly.com/question/9450913

#SPJ1

Find the volume of each solid

Answers

B] Ans ~

Given:-

[tex] \rm{Height ( h ) = \bold 9in}[/tex]

[tex] \: [/tex]

[tex] \rm \: Length ( l ) = \bold 7in[/tex]

[tex] \: [/tex]

[tex] \rm Width ( w ) = \bold 4in[/tex]

[tex] \: [/tex]

To find:-[tex] \rm \: Volume \: of \: solid = \: ?[/tex]

[tex] \: [/tex]

By using formula:-

[tex] \small{ \star{ \boxed{ \rm{ \red{Volume \: of \: solid \: = lwh}}}}}[/tex]

[tex] \: [/tex]

Solution:-[tex] \rm \: v = lwh[/tex]

[tex] \: [/tex]

[tex] \rm \: v = ( \: 7 \: )( \: 4 \: )( \: 9 \: )[/tex]

[tex] \: [/tex]

[tex] \rm \: v = 28×9[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \rm{ \purple{v= 259in³}}}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

The parts of a solid are faces, vertices and __________.
arcs
angles
edges
rays

Answers

Answer:

I'd say edges

HELP ASAP PLEASE, I WILL MARK ANSWER BRAINLIEST IF CORRECT!!!.


Triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.

A′(−4.5, 2)
A′(3, 3)
A′(4.5, 2)
A′(4.5, 3)

Answers

The coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).

What is triangle ?

A triangle is a polygon with three sides and three angles. It is a two-dimensional figure that is formed by connecting three non-collinear points. The sum of the angles in a triangle is always 180 degrees, and the side opposite to the largest angle is the longest side of the triangle, while the side opposite to the smallest angle is the shortest side.

According to given information :

In this problem, we are given a triangle ABC with vertices at A(3, 2), B(2, −1), C(−2, 1), and we are asked to dilate it using a scale factor of 1.5 to create triangle A′B′C′.

Dilation is a transformation that changes the size of a figure but not its shape. To dilate a figure, we multiply the coordinates of each point by a scale factor. In this case, we are given a scale factor of 1.5, so we will multiply each coordinate of triangle ABC by 1.5 to get the coordinates of triangle A′B′C′.

To find the vertex of point A′, we need to apply the dilation to the coordinates of point A(3, 2). Multiplying the x-coordinate by 1.5, we get 1.5 × 3 = 4.5. Multiplying the y-coordinate by 1.5, we get 1.5 × 2 = 3.

Therefore,  the coordinates of point A′ are (4.5, 3), the answer is A′(4.5, 3).

To know more about triangle visit :

https://brainly.com/question/1058720

#SPJ1

Pls help i don’t know how to do this

Answers

Using the altitude or leg rule, we have:

x ≈ 42.7  

y = 40

z ≈ 53.4

How to Apply the Altitude or Leg Rule?

The leg rule is given as:

hypotenuse/leg = leg/part.

The altitude rule is:

left/altitude = altitude/right

To find the value of x, apply the altitude rule:

left = x

right = 24

altitude = 32

Substitute:

x/32 = 32/24

Cross multiply:

24x = 32²

24x = 1,024

x ≈ 42.7  

To find y, apply the leg rule:

leg = y

part = 24

hypotenuse = x + 24 = 42.7 + 24 = 66.7

Substitute:

66.7/y = y/24

y² = 1,600.8

y = √1x00.8

y = 40

To find z, apply the leg rule:

leg = z

part = x = 42.7  

Hypotenuse = 66.7

Substitute:

66.7/z = z/42.7

z² = 2,848.09

z = √2,848.09

z ≈ 53.4

Learn more about the leg or altitude rule on:

https://brainly.com/question/26257841

#SPJ1

An engineer at an environmentally minded technology company has come up with a process to convert tire waste from the automobile industry into clean energy.

Which statement disputes the inference that pyrolysis is eco-friendly?

Tires have been banned from landfills for years.
The rubber crumbs recovered during pyrolysis have limited applications.
It costs more to recover resources from used tires through pyrolysis than other methods.
Pyrolysis consumes more resources to generate oil and recover rubber crumbs than it generates.

Answers

The detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is-

"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".

What is Pyrοlysis?

The pyrοlysis prοcess is the thermal decοmpοsitiοn οf materials at elevated temperatures, οften in an inert atmοsphere.

Given is that an engineer at an envirοnmentally minded technοlοgy cοmpany has cοme up with a prοcess tο cοnvert tire waste frοm the autοmοbile industry intο clean energy.

The detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is -

"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".

Therefοre, the detail that best suppοrts the inference that the autο manufacturing industry suppοrts green sοlutiοns is -

"Pyrοlysis generates lοw-cοst energy that can be used in the autοmοbile manufacturing industry".

To solve more questions on Pyrolysis, visit the link -

https://brainly.com/question/30098550

#SPJ1

Use the same values for t and q and your inspection from part b to determine the number of sides that should be contained in your envelope and your partner's envelope combined

Answers

Answer: From part b, we know that the number of sides in my envelope is t + q = 10 + 6 = 16, and the number of sides in my partner's envelope is 2t - q = 20 - 6 = 14.

To determine the number of sides in both envelopes combined, we add these values: 16 + 14 = 30.

Therefore, the combined number of sides in both envelopes is 30.

Step-by-step explanation:

On the first day of school, Ms. Dubacek gave her third-grade students 
6 new spelling words to learn. On each day of school after that, she gave the students 3 new spelling words. How many new spelling words had she given the students by the end of the 21st day of school?

Answers

Answer: 126 Spelling Words

Step-by-step explanation: I got that because you had to multiply 6 by 21 and you get 126.

Answer:

Step-by-step explanation:

On the first day, Ms. Dubacek gave 6 new spelling words.

On each subsequent day, she gave an additional 3 new spelling words.

Therefore, on the second day of school, she gave a total of 6 + 3 = 9 new spelling words.

On the third day of school, she gave a total of 6 + 3 + 3 = 12 new spelling words.

We can see a pattern emerging here: on each day, she gives 6 more words than the previous day.

So on the 21st day of school, she will have given a total of:

6 + (9 + 12 + 15 + ... + 60)

To find the sum of this arithmetic series, we can use the formula:

S = n/2 * (a + l)

where:

S = the sum of the series

n = the number of terms in the series

a = the first term in the series

l = the last term in the series

In this case, we have:

n = 19 (since we're counting from the second day of school to the 21st day)

a = 9 (since that was the total number of spelling words given on the second day)

l = 60 (since that will be the total number of spelling words given on the 21st day)

So, plugging in these values, we get:

S = 19/2 * (9 + 60) = 19/2 * 69 = 655.5

Therefore, by the end of the 21st day of school, Ms. Dubacek will have given her students a total of 6 + 655.5 = 661.5 new spelling words (rounded to the nearest whole number, this is 662).

what is the answer for the question

Answers

To find the answer, all we need to do is to find the slope, which is rise/run. In this problem, the slope is negative, since it goes down from left to right. So we can throw A and B out. Now count how many units vertical and how many units horizontal from one point to the other. Or you can use the coordinates and figure it out since we got a nice point at the origin. I got 3 down and 4 right. So that would be -3/4. The answer is the last choice: y=-3/4x

1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell. (2 points)
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain. (2 points)
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know? (3 points)
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter. (3 points)

Answers

Answer:

Step-by-step explanation: OK so is A'B'C'D' a translation, rotation, or reflection of ABCD? OK so A'B'C'D' is a rotation i believe because like you i'm on the same thing. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? OK so A"B"C"D" is a reflection i believe i'm not really sure on that one. Suppose the measure of angle B is 89°. Which other angle must be 89°? OK so angle A, angle C, and angle B. But I really don't get what you trying to ask? Hope I kind of helped, like i said im in 8th grade and it is kind of hard for me too.

The diagram shows a triangle.
v+32°
What is the value of v?
V =
Submit
15v
36°
Just need answer thanks a lot

Answers

Answer:7

Step-by-step explanation:

please help me im behind on math

Answers

Answer:6cm

Step-by-step explanation:You can use the formulas  or  to solve for diameter using volume. I will use the first forumla for this problem.

Substitute 113 for "V"

Multiply in the parenthesis

Divide by pi (3.14)

678 ÷ 3.14 = 215.923567

Apply the exponent

d = 5.99907...

d = 6 cm

The Silver Spur is a popular local hiking trail. The start of the trail is 179ft above sea level. The table shows the amount of elevation gain between the previous point of interest on the trail and the current one. (The elevation gain shown for the Old Cabin is the elevation gained between the start of the trail and the Old Cabin.) Point of Interest Elevation gain (in ft) Old Cabin −32.78 Ruby Falls 8634 Thunder Gorge −14725 High Point Vista 346.47 What is a hiker’s elevation above sea level (in feet) upon reaching High Point Vista?

Answers

Answer:

Step-by-step explanation:

To find the hiker's elevation above sea level upon reaching High Point Vista, we need to add up the elevation gain from the start of the trail to High Point Vista. We can use the table to do this:

Elevation gain from start to Old Cabin: -32.78 ft (negative because the hiker loses elevation)

Elevation gain from Old Cabin to Ruby Falls: 8634 ft

Elevation gain from Ruby Falls to Thunder Gorge: -14725 ft (negative because the hiker loses elevation)

Elevation gain from Thunder Gorge to High Point Vista: 346.47 ft

To find the hiker's elevation above sea level at High Point Vista, we add up these elevation gains:

179 ft (start) - 32.78 ft + 8634 ft - 14725 ft + 346.47 ft = -5668.31 ft

The negative value means that the hiker is below sea level at High Point Vista, which is not possible. Therefore, there must be an error in the elevation gain listed for one of the points of interest. It's possible that the elevation gain for Ruby Falls is incorrect, as it seems unlikely that the hiker would gain more than 8000 ft in elevation between Old Cabin and Ruby Falls. Without more information, it's difficult to say for sure where the error lies.

The letters of the alphabet are written on
cards and placed in a brown paper bag. What
is the probability of drawing a vowel,
replacing it, and then drawing a Z?

Answers

The probability of drawing a vowel, replacing it, and then drawing a Z is 5/676.

The alphabet consists of 26 letters, and 5 of them are vowels (A, E, I, O, U). Hence, 5/26 of the time, a vowel will be drawn in the initial draw.

The likelihood of drawing a Z on the second draw is also 1/26, due to the fact that the card is changed after the first draw.

We can multiply the probabilities to determine the likelihood that both of these occurrences will occur:

P(Draw a Z after a vowel is drawn) = P(Draw a vowel) P(Draw a Z after the vowel is replaced) = (5/26) (1/26) = 5/676

As a result, the likelihood of drawing a Z after substituting a vowel is 5/676.

To know more about Probability visit:

https://brainly.com/question/11234923

#SPJ1

63, 00, 22,------? solved the next number

Answers

The next number in the sequence is 47, 1, and 27.

What is a number series?

A series of numbers is called a number series. We must identify the rules that lead to the formation of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

One possible pattern in this sequence is that each number is the reverse of the sum of the digits of the previous number, followed by the next odd number. Applying this pattern to the given sequence, we have:

The reverse of 63 is 36. The sum of the digits of 63 is 6 + 3 = 9. Therefore, the next number is 36 + 9 = 45, followed by the next odd number, which is 47. So the next number is 47.

The reverse of 00 is 00. The sum of the digits of 00 is 0 + 0 = 0. Therefore, the next number is 00 + 0 = 0, followed by the next odd number, which is 1. So the next number is 1.

The reverse of 22 is 22. The sum of the digits of 22 is 2 + 2 = 4. Therefore, the next number is 22 + 4 = 26, followed by the next odd number, which is 27. So the next number is 27.

Therefore, the next number in the sequence is 47, 1, 27.

To know more about the number series follow

https://brainly.com/question/7882626

#SPJ1

6464 is
4
44 times the difference between Sarah's age,

aa, and
44
4444. Assume Sarah is older than
44
4444.
Write an equation to determine Sarah's age
(

)
(a)left parenthesis, a, right parenthesis.

Answers

Sarah's age using the equation of the situation is 60 years.

How do equations work?

A mathematical statement that establishes the equality of two expressions is known as an equation. Variables are elements in equations that can change or have different values assigned to them. Finding the value or values of the variable that make the equation true is the aim of equation solving. Several branches of mathematics and science employ equations to simulate real-world scenarios and examine the interactions between different variables.

Equations come in a variety of forms, including differential, quadratic, and linear equations. Algebraic methods can be used to solve some problems analytically, while numerical approaches or computer simulations may be necessary for others.

Let us suppose Sarah's age =a.

From the given situation we have:

64 = 4(a - 44)

64/4 = a - 44

16 = a - 44

a = 60

Hence, Sarah's age using the equation of the situation is 60 years.

Learn more about equation here:

https://brainly.com/question/19950555

#SPJ1

I have a triangular shaped base I am composed of 3 rectangular faces I am a 3D figure

Answers

Answer:

Rectangle pyramid

What is a rectangle pyramid ?

A rectangular pyramid is a pyramid, which has a rectangular-shaped base. If we look at the bottom view of this pyramid, it looks like a rectangle. Hence, the base has two parallel sides equal.

A pyramid crowns at a point on top of the base, which is known as the apex. A rectangular pyramid can be a right pyramid or oblique pyramid. If it is a right rectangular pyramid, then the apex lies right over the center of the base and if it is an oblique rectangular pyramid, the apex is not directly over the center of the base, but at some angle from the center.

Apart from the rectangular pyramid, there are other types of pyramids based on the shape of their bases, such as:

1) Triangular Pyramid

2) Square Pyramid

3) Pentagonal Pyramid

4) Hexagonal Pyramid

To know more about rectangular pyramid:

Rectangular Pyramid (Definition & Formulas) (byjus.com)

#SPJ1

Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0. 75p, where p is the original price of the laptop. He also knows he has to pay 8% sales tax on the laptop. The price of the laptop with tax is f(c) = 1. 08c, where c is the sale price of the laptop. Determine the composite function that can be used to calculate the final price of ray's laptop.

Answers

Answer:

the final price of Ray's laptop is 89.1% of the original price.

Step-by-step explanation:

To find the composite function that can be used to calculate the final price of Ray's laptop, we need to find the composition of the two functions given:

f(c) = 1.08c (function for calculating the price of the laptop with tax)

c(p) = 0.75p (function for calculating the sale price of the laptop)

We can find the composite function f(c(p)) by substituting c(p) into the formula for f(c):

f(c(p)) = 1.08c(p)

Substituting c(p) with 0.75p, we get:

f(c(p)) = 1.08(0.75p)

Simplifying, we get:

f(c(p)) = 0.81p

Therefore, the composite function that can be used to calculate the final price of Ray's laptop is f(c(p)) = 0.81p.

This means that to find the final price of the laptop, we need to take the original price, multiply it by 0.75 to get the sale price, and then multiply the sale price by 1.08 to add the sales tax. In other words, the final price is:

final price = f(c(p)) = 0.81p = 1.08(0.75p)

final price = 0.81p + 0.081p

final price = 0.891p

Therefore, the final price of Ray's laptop is 89.1% of the original price.

A circle has a radius of 4 ft.

What is the area of the sector formed by a central angle measuring 270°?

Use 3.14 for pi and round the decimal to the nearest tenth.

Answers

The area of the sector is 37.68ft²

What is the area of a sector?

The region inside the portion of the circle formed by two radii and an arc is known as the area of a sector. It just covers a small portion of the circle's total area.

Area of a sector

The area of a sector can be gotten using the expression (θ/360º) × π r ² where

θ is the angle subtended at the center, given in degrees.r is the radius of the circle.∅ = 270°r = 4ft

Using the expression we will get,(270/360) x 3.14 x 4²

From the solution, we will find the area to be 37.68ft²

To learn more on area of a sector, visit https://brainly.com/question/14647523

#SPJ1


Simplify the expression -|-45|

Answers

Answer:

-45

Step-by-step explanation:

Answer:

-45, just take off the absolute bars

Step-by-step explanation:

A vehicle is running at a constant speed of 60 miles per hour on a highway. When it started, it had 10 gallons of gasoline in its cylinder. The vehicle travels 30 miles on each gallon of gasoline. Ignore the initial acceleration at the start and final deceleration when the vehicle runs out of gasoline and comes to halt. The amount of gasoline in the vehicle can be modeled as a linear function G(t)=10−2t, where t is time, in hours. How much gas is consumed in the first 3 hours?
1, 3 gallons
2, 4 gallons
3, 6 gallons
7, gallons

Answers

The quantity of gas that was consumed in the first 3 hours is; 6 gallons.

What quantity of gas is used in the first 3 hours?

As evident in the task content;

Speed refers to the magnitude of the velocity or the rate distance is traversed in a given time.

the speed of the vehicle = 60 miles per hour

the quantity of gasoline = 10 gallons.

Since G (t) = 10 - 2t

When t = 3

G (3) = 10 - 2(3)

G(3) = 4 gallons

Ultimately, the quantity of gas consumed in the first 3 hours is;

10 gallons - 4 gallons

= 6 gallons.

Read more on function evaluation;

https://brainly.com/question/2284360

#SPJ1

Use the distributive property to write an equivalent expression.
7 (3r + 7s -4)

Answers

The required equivalent expression using the distributive property is: [tex]$$\boxed{21r + 49s - 28}$$[/tex]

Explain about  distributive property.

This principle states that multiplying the sum of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

According to question:

Using the distributive property, we can distribute the factor of 7 to each term inside the parentheses:

7(3r + 7s - 4) = 7(3r) + 7(7s) - 7(4)

Simplifying each term:

= 21r + 49s - 28

Therefore, the equivalent expression using the distributive property is:

[tex]$$\boxed{21r + 49s - 28}$$[/tex]

To know more about Distributive property visit:

brainly.com/question/5637942

#SPJ9

8 ft
4 ft
8 ft
Find area

Answers

Answer: 80 ft squared

Step-by-step explanation:

For the square, the formula is base times height which, in this case, are both 8. 8 x 8 = 64. Next, the triangle below is (8 x 4)/2 because the formula for a triangle is base x height divided by 2. 8  x 4 = 32 divided by 2 is 16.

64 + 16 = 80

So, your answer will be 80ft squared

Hope this helped!

Julia needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 316 glasses. There are currently 286 glasses. If each set on
sale contains 6 glasses, use the drop-down menu below to write an inequality
representing s, the number of sets of glasses Julia should buy

Answers

Answer:

Julia should buy at least 5 sets of glasses.

Step-by-step explanation:

The inequality will be

286 +6s ≥ 316

Solve for s to get s ≥ 5

How do you solve problems with integers?

first, you must identify which operation you need to fo first.
then, you need to think about which ______ _____ you need to use.

Answers

To solve problems with integers, first, you must identify which operation you need to  first then, you need to think about which mathematical operations you need to use.

What is integers ?

Integers are a set of whole numbers that include both positive and negative numbers, as well as zero. Integers can be represented on a number line that extends infinitely in both directions.

To solve problems with integers, you need to understand the basic operations such as addition, subtraction, multiplication, and division. You also need to know the rules and properties of integers, such as the commutative, associative, and distributive properties, as well as the rules for adding, subtracting, multiplying, and dividing positive and negative integers.

When solving a problem with integers, you should first identify which operation you need to perform first based on the order of operations. This order is typically remembered with the acronym PEMDAS (parentheses, exponents, multiplication and division, and addition and subtraction). Once you have identified the operation, you can use the appropriate mathematical technique to solve the problem.

Therefore, to solve problems with integers, first, you must identify which operation you need to  first then, you need to think about which mathematical operations you need to use.



To know more about integers visit :

https://brainly.com/question/929808

#SPJ1

Other Questions
At a scouts' camp, there is sufficient food to last 72 scouts for 6 days. If 18 scouts do not turn up for the camp, how much longer can the food last for the other scouts? Compare the similarities and differences between Binomial and Normal distributions..What types of data does each use?.What kinds of statistical formula and techniques are used with each?.What similar characteristics do they share in their distributions? Numeric For the following exercises, use the given information to find the unknown value. 24.yvaries directly asx. Whenx=3, theny=12. Findywnehx=20. 25.yvaries directly as the square ofx. Whenx=2, theny=16. Findywhenx=8. 26.yvaries directly as the cube ofx. Whenx=3, theny=5. Findywhenx=4 A flat coil of wire is placed in a uniform magnetic field that is in the y direction. (i) The magnetic flux through the coil is a maximum if the plane of the coil is where? (Select all that apply. ) in the xy plane in the yz plane in the xz plane in any orientation, because it is a constant (ii) For what orientation is the flux zero? (Select all that apply. ) in the xy plane in the yz plane in the xz plane in any orientation, because it is a constant Suppose that a line passes through the points (5,1) and (-1.5).Where will it pass through the x-axis? Find k so that when x^(3)+kx^(2)+k^(2)x+14 is divided by x+2, the remainder is 0. A movie sells only adult tickets and child tickets for one movie the theater sells 126 tickets in all the tape diagram shows the ratio of adult tickets to child tickets the theater sells what does each square of the diagram represent? Congressional powers listed in the constitution are blank powers Which of the following are considered goods? (Check all that apply)Baby SittingPencilChromebookCleaningMowing the lawnDesk Thabo is x years old and Lizzie is y years old. Write down algebraic expression for: Thabo's age in 6 year's time Can evolution occur without natural selection? what would you do to calculate the net on the roller coaster at any time while it is moving? 5.3 compared consolidated balance sheets assets notes 31.12.2020 31.12.2019 31.12.2018non-current assets 29.046.8 29.893.3 25.991.2goodwil 7,1 10,514,2 9,585,6 9,597,1other intagible assets 7,2 3,356,3 3,163,8 3,087,3right of use assets 3,2 1,525,3 1,892,3 property, plant and equipment 3,2 3,225,2 3,644,3 3,624,6non-current financial assets 9,3 9,604,8 10,819,1 9,100,5investnents in associates 8 11,1 10,9 9,0deferred tax associates 6,3 809,9 777,3 572,7current assets 14,560,1 13,916,5 12,466,3inventaries 3,3 2,675,8 2,920,8 2,821,9trade accounts receivable 3,3 3,511,3 4,086,7 3,983,2other current assets 3,3 1,72,7 1,474,9 1,509,1current tax assets 234,4 148,1 160,1cash and cash equivalents 9,2 6,405,9 5,286,0 3,992,0total 43,606,9 43,809,8 38,457,5 answer all pls!!!!BIODIVERSITY LOSS AFFECTS GLOBAL DISEASE.1. how does the loss of biodiversity affect global disease such as malaria, Lyme disease, West nile virus and hantavirus pulmonary disease?2. what can we do as human too improve biodiversity will give 20 point need help Mrs. Martin wants to copy a poem from one Word document and add it into a new document. What is the most efficient way for her to do this?Question 2 options:Retype the poemUse keyboard shortcuts to copy and paste the poemTake a picture of the poem on her phoneEmail the poem to herself Watch help video Ise synthetic division to find the result when 2x^(4)+10x^(3)+8x^(2)+x+24 divided by x+2. If there is a remainder, express the result in the form It takes 4 minutes for the wheel to make one complete rotation. Put a star at Bos location after riding the wheel for 21 minutes Please see Attached. Yamilet works in a jewelry store and receives 12% commission when she makes a sale. how much commIssuing will she receive for selling an $8,125 ring Q3. What is regression analysis and how does it help inestimating a cost function? Interpret your results with a numericalexample.