Answer:
the required number of samples to contain the population mean = 136
Step-by-step explanation:
From the Empirical rule, If a data is normally distributed, then about 68% of the population lies within one standard deviation from mean.
Now, if we suppose that the mean of a normally distributed population is 300, and 200 simple random samples are drawn from the population. i.e. μ = 300
And;
Number of simple random samples: n = 200
Thus, by implication, we would expect about 68% of 200 samples confidence intervals to contain the population mean .
Hence,
Required number of samples = 68% of 200
This gives ;
0.68 x 200 = 136
Thus , the required number of samples = 136
Replace f(x) with 0 and solve for x. We do this because the x intercepts always occur when y = 0. Keep in mind that y = f(x).
f(x)=x^3-9x^2+20x
0=x^3-9x^2+20x
x^3-9x^2+20x = 0
x(x^2-9x+20) = 0 .... factor out GCF x
x(x-5)(x-4) = 0 ... factor the stuff inside
x = 0 or x-5 = 0 or x-4 = 0 ... zero product property
x = 0 or x = 5 or x = 4
<h3>The roots or zeros are 0, 5, 4</h3><h3>Answer: Choice D</h3>
Answer:
3.2 miles
Step-by-step explanation:
Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem
R = sqrt ( 9^2 + 6^2 )
R = sqrt ( 81 + 36 )
R = sqrt ( 117 )
R = 10.82 miles
while Ben drives 3 miles south and 7 miles west
Use the same pythagorean theorem to find the resultant displacement
R = sqrt ( 3^2 + 7^2 )
R = sqrt ( 9 + 49 )
R = sqrt ( 58 )
R = 7.62 miles
The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two
Difference = 10.82 - 7.62 = 3.2 miles.
Therefore, Mary live 3.2 miles from Benjamin.
<h2>
Answer:</h2><h2>Option D is the correct answer, 4 + 0.25x ≤ 9.75</h2>
Step-by-step explanation:
Donna earns per hour at her job = $9.75
Kaylee earns per hour at her job = $4
and she receives a raise each month = 0.25x
Kaylee's total earning = 4 + 0.25x
Comparing both the person's earning,
to find the number of months it will take for Kaylee to earn at least as much as Donna per hour is,
atleast as much as represents less than or equal to
Option D, 4 + 0.25x ≤ 9.75
