Answer:
Mean = 0, Standard deviation = 1
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 77.5 beats per minute
Standard Deviation, σ = 11.6 beats per minute
We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.
Formula:

Putting the values, we get,

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.
Mean = 0, Standard deviation = 1
Answer:The measure of angle RST is 120\°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<RST=(6x+12)\° -----> equation A
m<RST=78\°+(3x-12)\° -----> equation B
equate equation A and equation B
(6x+12)\°=78\°+(3x-12)\°
Answer:
<em>Test statistic </em>
<em> </em>
t = <em>1.076</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given Mean of the Population (μ) = 8.0
<em>Mean of the sample (x⁻) = 8.25</em>
Given data
8,9,9,8,8,9,8,7
Given sample size n= 8
Given sample standard deviation(S) = 0.661
<u><em>Step(ii):-</em></u>
<em>Null hypothesis : H: (μ) = 8.0</em>
<em>Alternative Hypothesis :H:(μ) > 8.0</em>
<em>Degrees of freedom = n-1 = 8-1=7</em>
<em>Test statistic </em>
<em> </em>
<em></em>
<em> </em>
<em></em>
<em> t = 1.076</em>
<em>Critical value </em>
<em> t₍₇,₀.₀₅₎ = 2.3646</em>
<em>The calculated value t = 1.076 < 2.3646 at 0.05 level of significance</em>
<em>Null hypothesis is accepted</em>
<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>
<em></em>
The answer is c.
I will explain
p - 2r = q
1. Move variable to the right by adding it’s opposites on both sides
p - 2r + 2r = q + 2r
2. Eliminate the opposites (-2r and +2r)
p = q + 2r
7:2....added = 9
7/9(180) = 1260/9 = 140 fluid oz .....mixed fruit
2/9(180) = 360/9 = 40 fluid oz <== lemonade