Answer:
75.17% probability that the sample proportion of households spending more than $125 a week is less than 0.32
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
For the sampling distribution of a proportion p with size n, we have that 
In this problem, we have that:
So
What is the probability that the sample proportion of households spending more than $125 a week is less than 0.32
This is the pvalue of Z when X = 0.32. So
has a pvalue of 0.7517
75.17% probability that the sample proportion of households spending more than $125 a week is less than 0.32
So you plug in 5 for x
-8(5)+1=f(x)
-40+1
-39=f(x)
Answer:
<h2>$351.9</h2>
Step-by-step explanation:
the question is not formatted well
<em>A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?</em>
Step one:
given data
we are told that the price of the small refrigerator contains both the original price and 15% profit
mathematically
$414= original price + 15% profit
Step two:
let us solve for 15% of 414
=(15/100)*414
=0.15*414
=$62.1
This shows that the profit is $62.1
let the original price be x
$414= x + 62.1
solve for x
x=414-62.1
x=351.9
<u>The refrigerator's original cost to the store $351.9</u>
Answer:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
y = tan(2x - π)
y = tan (2*(x-π/2))
We can compare it to its parent function
g(x) = tan(x)
The answer is
Option a.
Horizontal shrink by 1/2 and horizontal shift of π/2 to the right
