Use equivalent ratios to complete each table?

Fran has ''buy one get one free'' tickets to the comedy club. She is bringing 7 people, including herself. If the regular price

liraira [26]

She will have $57 back because the ticket are buy one get one free and she has 7 friends so for 3 tickets that u buy 6 of your friend get to go and then thei is still one more friend so you have to buy one more ticket so 10.75*3=32.25
and 32.25+10.75=43 and 100-43=57

4 0

3 years ago

Kim is having a pizza party. Two large pizzas serve 9 people. How many large pizzas should she order to serve 36 guests at the p

Angelina_Jolie [31]

It is 8 because two large can serve 9 and there are 4 9’s that go into 36 so you just have to times 2 and 4 to get 8

2=9
+2
4=18
+2
6=27
+2
8=36

8 large pizzas for 36
(Me personally would eat 8 all by myself)

3 0

3 years ago

How many times does 4 go in 64

Afina-wow [57]

Answer:

Step-by-step explanation:

4 goes into 64 sixteen times. 64/4 = 16 16 x 4 = 64

7 0

3 years ago

Read 2 more answers

In ANOVA analyses, when the null hypothesis is rejected, we can test for differences between treatment means by ________. Group

nikklg [1K]

Answer:

When conducting an analysis of variance analysis on a set of samples and the null hypothesis is rejected, we can test for the difference between treatment can be tested with the aid of a t-test. This is employed when 2 related groups are involved. Independent sample, paired sample or one-sample t-test can be conducted.

Step-by-step explanation:

A t-test is a test statistic used to make inferences that determine the differences that exist statistically between 2 related groups. It tells us if the 2 groups tested are from the same population. There are 3 types of t-test namely independent sample t-test, paired-sample t-test and one-sample t-test

5 0

3 years ago

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

$\displaystyle V=\pi r^2h$

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

$\displaystyle A=\pi r^2+2\pi rh$

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

$\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}$

$\boxed{ A=11.07\ ft^2}$

8 0

3 years ago