The test statistic for the hypothesis would be 1.413.
Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.
The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.
Hypothesis:
Null hypothesis:H₀:μ=13
Alternative hypothesis:Hₐ:μ>13
Here, μ be the mean weight loss of all participants.
n=30,
Degree of freedom n-1=30-1=29
=13.8 and s=3.1
To test the null hypothesis H₀, the value of test static would be calculated as follows:

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.
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Answer:
- cos(A) = 3/5
- cos(B) = 0
- cos(C) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
<h3>Angle A</h3>
In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
<h3>Angle B</h3>
The right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
<h3>Angle C</h3>
The side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
The answer is 58 I think 166-8= 158
Answer:
$64.5745
Step-by-step explanation:
You had to do this:
9.99+11.99+11.99+21.00+21.00=75.97
x = 85
75.97 100 85*75.97=6457.45
100x=6457.45
6457.45/100= 64.5745
Answer:
<h3>
present age of son = 10 </h3><h3>
present age of father = 40</h3>
Step-by-step explanation:
Let, present age of son be 'x'
present age of father be 'y'
y = 4x→ equation ( i )
After five years,
Son's age = x + 5
father's age = y + 5
According to Question,

Put the value of y from equation ( i )

Distribute 3 through the parentheses

Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S. and change its sign

Collect like terms

Calculate the difference

Now, put the value of X in equation ( i ) in order to find the present age of father

plug the value of X

Calculate the product

Therefore,
Present age of son = 10
present age of father = 40
Hope this helps..
Best regards!!