Step-by-step explanation:
180° = 2x + 70 + 4x + 10
180° = 2x + 4x + 70 + 10
180° = 6x+ 80
180 - 80 = 6x
100 = 6x
6x = 100
x = 16.66
x ≈ 17°
Answer:
<em><u>1408</u></em> square tiles
Step-by-step explanation:
She is basically tiling the surface area of a rectangular prism that is 24 by 16 by 8 inches long. A rectangular prism has 6 sides total. Here, the sides are:
24 by 16
24 by 16
16 by 8
16 by 8
24 by 8
24 by 8
So basically, Each length is multiplied by another length 2 times each. We need to add all of these lengths together:
(24 * 16) + (24 * 16) + (16 * 8) + (16 * 8( + (24 * 8) + (24 * 8) = (384 + 384) + (128 + 128) + (192 + 192) = 768 + 256 + 384 = 1408
1,408
Answer:
We are given that Among 180 homes in Hyde Park, 25 were found to have unsafe radon levels. Among 230 homes in La Grange, 50 were found to have unsafe radon levels.
Claim : the two towns have different rates of unsafe radon levels.
Let and be the rates of unsafe radon levels of Hyde Park and LaGrange respectively .
Among 180 homes in Hyde Park, 25 were found to have unsafe radon levels
So,
Among 230 homes in La Grange, 50 were found to have unsafe radon levels.
So,
We will use Comparing Two Proportions
Formula of test statistic :
Substitute the values
test statistic :
test statistic : −2.053
Refer the z table for p value
p value = 0.0202
α= 0.05
Since p value < α
So, we reject the null hypothesis that the two towns have same rates of unsafe radon levels.
So, Claim is true.
Answer:
A. 22
Step-by-step explanation:
98 - 34 - 42 is equal to 22. Or 34 + 42 os 76. Subtract 76 from 98. You get 22.
The best way to solve a problem like this is to set up two equations. First assign a variable to each thing you are trying to find. In this case, it's two different kinds of cars. Let's call the cars that weigh 3,000 pounds x, and the ones that weigh 5,000 y. The two equations you should write are:
x+y=18 (because the problem tells you there were 18 cars in total)
3000x+5000y=60000 (because that is the total weight in the problem)
Next, you need to solve for one of the variables. I will solve for x first by subtracting y from both sides of the first equation.
x=18-y
Then you have to plug that into the other equation to get:
3000(18-y)+5000y=60000
Simplify and solve for y:
54000-3000y+5000y=60000
54000+2000y=60000
2000y=6000
y=3
Now that you know what y equals, you can put it into the equation we solved for x:
x=18-3
x=15
So there are 15 cars that weigh 3000 pounds and 3 that weigh 5000.