Answer:
x = 19
Step-by-step explanation:
Assuming all angle measures are in degrees, the sum of them is 180:
(3x +16) +(4x -15) +(2x +8) = 180
9x +9 = 180 . . . . collect terms
x + 1 = 20 . . . . . . divide by 9
x = 19 . . . . . . . . . .subtract 1
The value of x is 19.
Answer:
<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>
We know that
V = πr²h
400 = 22/7 × r² × 8
400 × 7 = 22 × 7r²
2800 = 154r²
2800/154 = r²
18 ≈ r²
4.2 = r
Answer:

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Step-by-step explanation:
The estimated proportion of interest is 
We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by
and
.
And the critical value is:
The confidence interval for the true population proportion is interest is given by this formula:

Replacing the values provided we got:

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613
Answer:
288
Step-by-step explanation:
the formula is 2(lw+wh+hl)
length - 8
width - 8
height 5
substitute the values and you get
2(64+40+40)
2(144)
= 288
Answer:
M(h) = 73.18025h
Step-by-step explanation:
The composite function is ...
M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)
= 1.43(51.175h) = 73.18025h
The composite function is ...
M(h) = M(B(L(h))) = 73.18025h