Answer:
x intercept (15/4,0)
y intercept (0,2)
slope 8/15
Step-by-step explanation:
15y − 8x = 30.
To find the x intercept, set y =0
15(0) -8x = 30
8x = 30
Divide each side by 8 to solve for x
8x/8 = 30/8
x = 15/4
To find the y intercept, set x =0
15y -8(0) = 30
15y = 30
Divide each side by 15
15y/15 = 30/15
y =2
To find the slope we solve the equation for y
15y − 8x = 30.
Add 8x to each side
15y − 8x+8x =8x +30.
15y = 8x +30
Divide each side by 15
15y/15 = 8x/15 +30/15
y = 8/15x +2
The slope is 8/15
Assuming that the cube has equal dimensions, it would be:
8 x 8 x 8 = 512 ft^3
Answer:
The t value for 99% CI for 21 df is 2.831.
The critical value that should be used in constructing the confidence interval is (64.593, 86.407).
Step-by-step explanation:
Now the sample size is less than 30 and also population standard deviation is not known.
Then we will use t distribution to find CI
t value for 99% CI for 21 df is TINV(0.01,21)=2.831
The margin of error is ![E=t\times\frac{s}{\sqrt{n}}\\\\=2.831\times\frac{18.07}{\sqrt{22}}\\\\=10.907](https://tex.z-dn.net/?f=E%3Dt%5Ctimes%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D2.831%5Ctimes%5Cfrac%7B18.07%7D%7B%5Csqrt%7B22%7D%7D%5C%5C%5C%5C%3D10.907)
Hence CI is![CI=\overline{x} \pm E\\\\ =75.50 \pm 10.907\\\\=(64.593,86.407 )](https://tex.z-dn.net/?f=CI%3D%5Coverline%7Bx%7D%20%5Cpm%20E%5C%5C%5C%5C%20%3D75.50%20%5Cpm%2010.907%5C%5C%5C%5C%3D%2864.593%2C86.407%20%29)
Answer: 4
Step-by-step explanation:
i think it is 4
Answer:
16
Step-by-step explanation:
each pound has 3.6 cups
1/4 of a pound can be multiplied
3.6 x 1/4 = 0.9
then we subtract 4 - 3.6 = 0.4 say if the question was for one pound
But we have to find 14.4 cups instead as;
3.6 x 4 = 14.4 = 4 pounds
We go back to 0.9 are first smaller serving = 1/4 cup
14.4/0.9 = 16