A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.

Answer:

Angle KJM and Angle LMJ

Step-by-step explanation:

By the looks of the diagram they will surely add up to form 180 degrees

Answer:

x = 13/12

Step-by-step explanation:

explain on image

Answer: The total would be 40.53

Step-by-step explanation:

Answer:

7 x 3.14 x 2 = 43.96 ft

Step-by-step explanation:

Formula of Circumference:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter

Answer:

H0: μ = 23.5 versus Ha: μ < 23.5, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam

The hypothesis is H0: μ = 25 versus Ha: μ < 25, So option (C) is the correct answer.

Mean is the ratio of the sum of all the observations and the total number of observations in a data set. The standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance.

For the above suituation,

There are 20 math questions to be answered in 25 minutes.

After investigation with 35 students, the meantime needed for them is 23.5 and the standard deviation is 4.8.

From the above information, we can say that the hypothesis, H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed for students of this school to complete this portion of the exam.

Hence we can conclude that the hypothesis (C) is the correct answer.

Learn more about mean and standard deviation here

https://brainly.com/question/475676

#SPJ2

Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

Answer:

4056 is the correct answer I think

Step-by-step explanation:

13×13×24=4056

Answer:

5.32255ft

Step-by-step explanation:

A

π=89

π

Answer:

5.3

Step-by-step explanation:

The equation is A=πr²

The area is 89 so 89=πr²

89/π=r²

√89/π =r

r=5.322554

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

Yes, this is equivalent.

Hope this helps!

Answer:

1st one

Step-by-step explanation:

Linear means straight and when you graph this one it is a straight line

Answer: 4+4+1

Step-by-step explanation: 4+4+1=4+5

Hope this helps!

Answer:

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters

Answer:

63

Step-by-step explanation:

Mean=Sum of all values/number of observation

=53+71+89+10+87/5

=310/5

=62

It's 62

Just took test

Answer and Step-by-step explanation:

The answer you chose is correct:

D. 2(5w + 5)

This is equivalent to 10w + 10.

This is because the 2 is a factor of 10, so when distributed out of the 10's, we get 5.

#teamtrees #PAW (Plant And Water)

Answer:

MMM

Step-by-step explanation:

Given

See attachment for elements of the sample space (in a probability tree)

Required

Which of MMM, FFM, MFF, FMF represents more than one male?

From the question, we understand that:

[tex]M \to Male[/tex]

[tex]F \to Female[/tex]

So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)

From the given options, only MMM has more than 1 M.

Hence, MMM represents more than one Male

Answer:

M=2/3

m=1/2

Step-by-step explanation:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.[1] Slope is often denoted by the letter m; there is no clear answer to the question why the letter m is used for slope, but its earliest use in English appears in O'Brien (1844)[2] who wrote the equation of a straight line as "y = mx + b" and it can also be found in Todhunter (1888)[3] who wrote it as "y = mx + c".[4]

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line. A line that is decreasing has a negative "rise". The line may be practical - as set by a road surveyor, or in a diagram that models a road or a roof either as a description or as a plan.

The steepness, incline, or grade of a line is measured by the absolute value of the slope. A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:

no solution?

Step-by-step explanation:

Answer:

16.50

Step-by-step explanation:

divide it to the upper thanks

Answer:

Hi! answer: 530.66

Step-by-step explanation:

To find area for circles you have to do radius × radius × pi so our radius is 13 so 13 × 13 = 169

169 × 3.14 = 530.66 So that's our answer hope that helps!

Answer:

[tex]676 \pi \ cm^{2}[/tex]

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

Answer:

i think its six i haven't done this in a while tho

Step-by-step explanation:

sort them in order from least to greatest and find the middle... i think... that could be medium

Answer:

Step-by-step explanation:

The mean is the average so add them all up and divide the sum by the amount of number there are [tex]2+9+7+4+6+1=29[/tex] and then divide 29÷6 = 4.8333333333 (3 continued) or 29/6 (fraction) also if that is not the answer round it and it would be 4.8

Answer:

B 84 cm^2 is the surface area of tbe prism

Step-by-step explanation:

Which table shows a proportional relationship between x and y? x 2 4 5 6 y 6 12 18 21 x 1 3 4 5 y 50 150 200 250 x 3 5 7 8 y 1.5 2.5 3 4.5 x 1 2 3 6 y 1.5 3 6 9 the graph of a proportional relationship passes through (12,16) and (1,y) find y. can someone please walk me through this?

Answer:

18+45m

Step-by-step explanation:

You multiply when applying the distributative property:

9(2+5m)

18+45m multiply 9 by each value in parentheses