Answer:
![\°F = 93.2](https://tex.z-dn.net/?f=%5C%C2%B0F%20%3D%2093.2)
City 2 has a higher temperature
Step-by-step explanation:
Given
![\°F = (\°C * 9/5) + 32](https://tex.z-dn.net/?f=%5C%C2%B0F%20%3D%20%28%5C%C2%B0C%20%2A%209%2F5%29%20%2B%2032)
![City\ 2 = 97\°F](https://tex.z-dn.net/?f=City%5C%202%20%3D%2097%5C%C2%B0F)
Required
Convert 34°C to °F
Substitute 34 for C in the above formula:
![\°F = (34 * 9/5) + 32](https://tex.z-dn.net/?f=%5C%C2%B0F%20%3D%20%2834%20%2A%209%2F5%29%20%2B%2032)
![\°F = 61.2 + 32](https://tex.z-dn.net/?f=%5C%C2%B0F%20%3D%2061.2%20%2B%2032)
![\°F = 93.2](https://tex.z-dn.net/?f=%5C%C2%B0F%20%3D%2093.2)
<em>Comparing 93.2 to City 2's temperature of 97; we can conclude that city 2 has a higher temperature</em>
13/ 52 = 1/4 chances.
There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.
You have a 25% chance of getting a spade.
Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.
So, you still have a 25% chance the second time around.
Answer:
the student should score atleast 229 to be among the top 10%.
Step-by-step explanation:
in terms of the normal distribution, and if the table that you're using calculates the area of the normal distribution from the mean to a point x, only then what we are actually finding the value 'x' at which the z-score is at 40% (the rest 50% is already skipped by the table)
![P(0.4) = \dfrac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=P%280.4%29%20%3D%20%5Cdfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D)
after finding the the value at this z-score, we can find the value of x at which the score is in the top 10% range.
we can find the z-score either using a normal distribution table or calculator. (but be sure what area is it calculating)
looking at the table the closest value we can find is, 0.4015 at z = 1.29 ((it is above 40% because we want to be in the top 10% range)
![P(0.4015) = \dfrac{x - 100}{100}](https://tex.z-dn.net/?f=P%280.4015%29%20%3D%20%5Cdfrac%7Bx%20-%20100%7D%7B100%7D)
![1.29 = \dfrac{x - 100}{100}](https://tex.z-dn.net/?f=1.29%20%3D%20%5Cdfrac%7Bx%20-%20100%7D%7B100%7D)
![x = 1.29(100) + 100](https://tex.z-dn.net/?f=x%20%3D%201.29%28100%29%20%2B%20100)
![x = 229](https://tex.z-dn.net/?f=x%20%3D%20229)
the student should score atleast 229 to be among the top 10%.
This problem is about adding up the surface area of all of the surfaces he will paint and then dividing it by 200 to find how many gallons he will need to buy. Since he won't paint his roof, we need to find the surface area of every square foot that he will paint. So to do this it is just doing the area formula A=L*W for rectangles, and A=1/2*H*W, for the triangles. So he will paint 2 triangular spaces, the front and the back, plus he will paint 4 rectangular walls. So let's do the very front section first. When looking straight at the front u see a rectangle and a triangle. So let's find the area of both. The rectangle we need to plug in the length, or in other words the height, which is 8 feet. The width is 12 ft. So what is 8 times 12? It is 96 sq. ft. So 96 square feet is the front rectangle. There is another rectangle on the back of the shed that's the same dimensions that he will paint, so instead of doing that again we can just multiply 96 sq ft by 2, which is 192 sq ft. Now let's do the 2 triangles he will paint. Both of the triangles are the same exact dimensions, so what we do is plug the numbers in, the height is 4 ft. So it looks like 1/2 * 4 ft * 12 ft. 1/2 of 4 is 2, so multiply 2 by 12, which equals 24. So one of the triangles has 24 sq ft, but since there is another one on the back side that he will paint, we multiply that by 2 to save time. This will equal 48 sq ft. Now all we have to do is the other two walls on the sides. This is the same formula, A= L*W. so length is the same as the other 2 rectangles because they are the same height, so the length is 8 ft. And the width is 20 ft. What is 20 times 8? 20 times 8 is 160 sq ft. Since there is another wall just like that on the other side, we multiply that by 2 to get 320 sq ft. Now we add all of it up. 320+ 48+ 192= 560 sq ft. So he will paint 560 sq ft. What is 560 divided by 200? It will be 2.8, so he will have to buy 2.8 gallons of paint. Since you can't buy 2.8 gallons of paint, he will really buy 3 gallons, so he will have some left over. Since 1 gallon cost $48, we will need to multiply 48 by 3, to give us 144. So he will spend $144 on paint to paint his shed. I hope this helps