Yes, I think the answer is y = 7. The line x = 4 runs vertical (because all of the points in that line have an x-value of 4) so any line that is perpendicular to it has to be horizontal. Any line that is horizontal is in the form y = (some number). In order for the new line to run through the point (5,7) it would have to have the same y-value as that point, which is 7. So the new line is y = 7. Hope this helps :) (P.S. try graphing them both if you need a visual.)
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714
B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
Answer:
There is no sufficient evidence to support the executive claim
Step-by-step explanation:
From the question we are told that
The population proportion is 
The sample proportion is 
The sample size is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically evaluated as
=> 
=> 
The p-value is mathematically represented as
Form the z-table
=> 
=> 
Given that 
we fail to reject the null hypothesis
Hence we can conclude that there is no sufficient evidence to support the executive claim
Answer:
8 units If the area of the squares are 32 units^2, we have that: Area = Side * Side Side^2 = 32 Side = sqrt(32) = 5.657 units So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units As it is a right triangle, we can use the Pythagoras' theorem: c^2 = a^2 + b^2 c^2 = 5.657^2 + 5.657^2 c^2 = 64 c = 8 units
Step-by-step explanation:
Answer:
$493
Step-by-step explanation:
8.50 x 40 = 340
1.5 x 8.5 = 12.75
12 x 12.75 = 153
340+ 153
