Answer: 7/13 is already in simplest form.
Step-by-step explanation:
The sides cannot both be divided by the same number, meaning it is already in simplest form.
Find what number it is on the bottom to make the point
Answer:
![n\geq 23](https://tex.z-dn.net/?f=n%5Cgeq%2023)
Step-by-step explanation:
-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:
![n\geq (\frac{z\sigma}{ME})^2](https://tex.z-dn.net/?f=n%5Cgeq%20%28%5Cfrac%7Bz%5Csigma%7D%7BME%7D%29%5E2)
Where:
is the standard deviation
is the desired margin of error.
We substitute our given values to calculate the sample size:
![n\geq (\frac{z\sigma}{ME})^2\\\\\geq (\frac{1.96\times 12}{5})^2\\\\\geq 22.13\approx23](https://tex.z-dn.net/?f=n%5Cgeq%20%28%5Cfrac%7Bz%5Csigma%7D%7BME%7D%29%5E2%5C%5C%5C%5C%5Cgeq%20%28%5Cfrac%7B1.96%5Ctimes%2012%7D%7B5%7D%29%5E2%5C%5C%5C%5C%5Cgeq%2022.13%5Capprox23)
Hence, the smallest desired sample size is 23
From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.
- The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>
Reasons:
The data in the table are presented as follows;
![\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7Cc%7C%7DAge%26Annual%20Insurance%20Premiums%20%28per%20%5C%241%2C000%20of%20face%20value%29%26%5C%5C%2610-Year%20Term%20%26%5C%5C%26Male%26Female%5C%5C35%261.40%261.36%5C%5C40%261.64%261.59%5C%5C45%262.07%262.01%5Cend%7Barray%7D%5Cright%5D)
From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40
Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161
The amount Bernard pays = 15% more = 1.15 × $161 = $185.15
Therefore;
The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>
Learn more about insurance premiums here:
brainly.com/question/3053945
Answer:
x intercepts -sqrt(5), + sqrt(5)
y intercept -5
Step-by-step explanation:
y = x^2 -5
to find the x intercept set y=0 and solve for x
0 = x^2-5
add 5 to each side
5 = x^2
take the square root of each side
+- sqrt(5) = sqrt(x^2)
x = +-sqrt(5) there are 2 x intercepts since it is a quadratic
to find the y intercept set x=0 and solve for y
y = 0-5
y = -5