Answer: Supplementary angle
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Answer:
$613.04
Step-by-step explanation:
<em>Compound Interest Formula:</em>
n = number of compounds
t = time
r = interest rate
P = principle amount (original amount)
A = final amount
Since it's compounded quarterly, that means there will be 4 compounds per year, so n=4. The interest rate has to be converted to the decimal value, and this is done by simply dividing it by 100 to get r=0.06.
Plug Values into equation:

Simplify inside parenthesis

Calculate exponent

Multiply values

Round

Step-by-step explanation:
Let the number of girls = x
Therefore, no. of boys =

Thus, no of boys in the class is 35.
<h2>
Answer with explanation:</h2>
Given : Sample size 
Sample mean : 
Sample standard deviation : 
Let
be the population mean of "like" ratings of male dates made by the female dates.
As per question ,
Null hypothesis : 
Alternative hypothesis :
, It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)
Test statistic:

For 0.05 significance and df =188 (df=n-1) p-value = .001582. [By t-table]
Since .001582< 0.05
Decision: p-value < significance level , that means there is statistical significance, so we reject the null hypothesis.
Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.