could you help me with this? I am very bad at math i need help ​

Answer:

10) 7 meters

11) 10 yards

12) 452.16 inches²

13) 235.5 meters²

14) 22608 centimeters²

15) 4220.16 centimeters²

16) 1177.5 centimeters²

17) 141.3 millimeters²

Step-by-step explanation:

10) The volume of a rectangular prism is calculated by multiplying the height, width, and length of the shape. In this question, we have the volume, the width, and height, but not the length. To find it, we can divide the width and height from the volume.

First, divide the width.

[tex]\frac{210}{5}[/tex] = 42

Next, the height.

[tex]\frac{42}{6}[/tex] = 7

The length of the shape is 7 meters.

----------------------------------------------------------------------------------------------------------------

11) For this question, we can do the same thing. Take the volume, then divide the length and width from it.

[tex]\frac{360}{6}[/tex] = 60

[tex]\frac{60}{6}[/tex] = 10

The height is 10 yards.

----------------------------------------------------------------------------------------------------------------

12) We have to find the volume of a cylinder. The formula for this is [tex]V=\pi r^2h[/tex]. We will use 3.14 for pi. The radius is 4 in and the height is 9 in. We can plug our values into the equation and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](4²)(9)

V = 3.14(4²)(9)

V = 50.24(9)

V = 452.16

The volume is 452.16 inches².

----------------------------------------------------------------------------------------------------------------

13) We will use the same formula for this. Our radius is 5 m and the height is 3 m. Plug the values in and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(3)

V = 3.14(5²)(3)

V = 78.5(3)

V = 235.5

The volume of this cylinder is 235.5 meters².

----------------------------------------------------------------------------------------------------------------

14) The radius of this cylinder is 15 cm. The height is 32 cm. Put these numbers into our formula.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](15²)(32)

V = 3.14(15²)(32)

V = 708.5(32)

V = 22608

The volume of this cylinder is 22608 centimeters².

----------------------------------------------------------------------------------------------------------------

15) The next cylinder has a radius of 8 cm and a height of 21 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8²)(21)

V = 3.14(8²)(21)

V = 200.96(21)

V = 4220.16

The cylinder has a volume of 4220.16 centimeters².

----------------------------------------------------------------------------------------------------------------

16) This cylinder has a radius of 5 cm and a height of 15 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(15)

V = 3.14(5²)(15)

V = 78.5(15)

V = 1177.5

The volume is 1177.5 centimeters².

----------------------------------------------------------------------------------------------------------------

17) The dimensions of this cylinder are 3 mm and 15 mm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](3²)(15)

V = 3.14(3²)(15)

V = 9.42(15)

V = 141.3

The volume is 141.3 millimeters².

----------------------------------------------------------------------------------------------------------------

I hope this helps ^^ Good luck

7/12 x 4/6 simplest form​

At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05.
H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL
In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented.
All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test?
The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
A The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
B The pp-value is less than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
C The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
D The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.

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