Answer:
Step-by-step explanation:
3
Answer:
233.3 cubic inches
Step-by-step explanation:
First, multiply the width, length, and height. You'd get 700. Now divide by 3, and you have the area for the pyramid.
Answer:
0.7019; no, it does not appear to be safe.
Step-by-step explanation:
We want to find P(X > 185). However, in a z table, we are given the area under the curve to the left of the value; this means we want to find
1 - P(X ≤ 185)
The z score for the mean of a sample is given by
![z=\frac{\bar{X}-\mu}{\sigma \div \sqrt{n}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Cbar%7BX%7D-%5Cmu%7D%7B%5Csigma%20%5Cdiv%20%5Csqrt%7Bn%7D%7D)
For this situation, the mean, μ, is 189 and the standard deviation, σ, is 39. Our sample size, n, is 27. This gives us
z = (185-189)/(39÷√27) = -4/(39÷5.1962) = -4/7.5055 = -0.53
Using a z table, we see that the area under the curve to the left of this value is 0.2981. This means our probability is
1-0.2981 = 0.7019.
(f-g) (x) means to subtract g(x) from f(x)
F(x) = 2x^2 +3
g(x) = x^2
This becomes:
2x^2 + 3 - x^2 = x^2 +3
Answer:
0.4185;
0.8835;
$14500;
No
Step-by-step explanation:
Given that :
a = 10200
b = 14500
f(y) = 1 /(b - a) = 1/(14500 - 10200) = 1/4300 = 0.0002325
A.)
P(x <12000) = ∫fydy at(12000 ; 10200) = ∫0.0002325dy at(12000 ; 10200)
P(x < 12000) = 0.0002325(12000) - 0.0002325(10200) = 0.4185
B.)
P(x <14000) = ∫fydy at(14000 ; 10200) = ∫0.0002325dy at(14000 ; 10200)
P(x < 14000) = 0.0002325(14000) - 0.0002325(10200) = 0.8835
(c.) 14500 ; because competitor's bid is at most 14500
D.) No ; Because by bidding $14500 ; getting the property is certain ; once the property is gotten, then it could be resold for $16000, to make a profit of $1500 ; by bidding less, winning the bid becomes uncertain which may means the profit might be lost in the long run.