Answer:
The probability that the sample proportion will be less than 0.05 is 0.80511.
Step-by-step explanation:
We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.
Suppose the true proportion is 0.04 and 349 are sampled.
<u><em>Let </em></u>
<u><em> = sample proportion</em></u>
The z score probability distribution for sample proportion is given by;
Z =
~ N(0,1)
where,
= sample proportion
n = sample size = 349
p = population proportion = 0.04
Now, the probability that the sample proportion will be less than 0.05 is given by = P(
< 0.05)
P(
< 0.05) = P(
<
) = P(Z < 0.86) = 0.80511
<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>
Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.
The answer is 4/7. see it from the multiple of 3...3*4 =12 and 3*7= 21. So this is the answer: 4/7.
Answer:
The height of the arch 50ft from the center is 97ft
Step-by-step explanation:
A bridge over a gorge is supported by an arch in the shape of a semi-ellipse
The length of the bridge is 400 ft. and the maximum height is 100 ft
so, a=200ft
b=100ft
(a)
we can draw picture
(b)
now, we can use equation of ellipse formula

now, we can plug
a=200
b=100

we can plug x=50 and find y



The integers that make the linear equation false are:
3, 78, and 126
We found that by evaluating the equation in all the options.
<h3>Which integers make the equation false?</h3>
Here we have the linear equation:
8m - 15 = 5m + 63
And the possible solutions are:
S: {3, 26, 78, 126}
To see which of these integers make the equation false, we can replace the value of m by the given values and see when the equation is false (the number in the left is different to the one in the right).
if m = 3
8*3 - 15 = 5*3 + 63
9 = 78 this is false.
if m = 26
8*26 - 15 = 5*26 + 63
193 = 193 this is true.
if m = 78
8*78 - 15 = 5*78 + 63
609 = 453 this is false.
if m= 126
8*126 - 15 = 5*126 + 63
993 = 693 this is false.
So the integers that make the equation false are:
3, 78, and 126.
Learn more about linear equations:
brainly.com/question/1884491
#SPJ1
Answer:
432 feet^2
Step-by-step explanation:
If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.