46 x 0.05, since 5% = 0.05 (5 / 100 = 0.05)
46 x 0.05 = 2.3
<span>7/12 is 58.33% </span>
<span>How do we change fractions to percents? </span>
<span>The steps are too simple. </span>
<span>First, divide the numerator (the number at the top of the fraction) by the denominator (the number below the fraction). </span>
<span>In the case above, 7 is the numerator and 12 is the denominator. </span>
<span>So, 7 ÷ 12 = 0.58333 </span>
<span>Then, multiply the result by 100. 0.5833 x 100= 58.33 </span>
<span>Finally, add the percent (%) sign to the result. </span>
<span>Therefore, 7/12 is 58.33%. <span> </span></span>
Answer:
a) 99.97%
b) 65%
Step-by-step explanation:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Mean of 98.35°F and a standard deviation of 0.64°F.
a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?
μ - 3σ
98.35 - 3(0.64)
= 96.43°F
μ + 3σ.
98.35 + 3(0.64)
= 100.27°F
The approximate percentage of healthy adults with body temperatures is 99.97%
b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?
within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
μ - σ
98.35 - (0.64)
= 97.71°F
μ + σ.
98.35 + (0.64)
= 98.99°F
Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%
Answer: 16 in
Explanation:
PQ/QR = PT/TS
PQ/4 = 12/3
PQ x 3 = 12 x 4 (cross multiply)
PQ x 3 = 48
PQ = 48/3
PQ = 16
we conclude that the graphed equation is:
y = 4*cos(pi*x)
<h3>
</h3><h3>
Which trigonometric equation is the one in the graph?</h3>
First, we can see that the graphed function is even, so we know that it wiill be a cosine.
We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.
Then we have something like:
y = 4*cos(b*x)
To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2
Then:
b*1/2 = pi/2
b = pi
Finally, we conclude that the graphed equation is:
y = 4*cos(pi*x)
If you want to learn more about trigonometric equations:
brainly.com/question/8120556
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A) In order to create a sampling plan, you need to follow the following 5 steps:
1) Define the sample population: who are the customers you want to contact?
The costumers who bought a new car on a certain year.
2) Define the size of population: how many customers are you going to contact?
Of the 30000 customers who bought a car, you want to contact 1000 customers.
3) Define the contact options: how are you going to contact the customers?
You have a list of names and addresses, therefore you can send a questionnaire via mail.
4) Form a sampling frame: what is the time or contact frame to get in touch with your customers?
You will send the questionnaires and you will wait two months for the answer.
5) Define the analysis method: is yours a qualitative or quantitative research?
In your case, you want a quantitative research and therefore a probabilistic sampling.
B) The 32.5% probability refers to customers having issues with the power doors locks among the costumers who had problems, it does not consider the customers who did not have any problem or those who had problems after the first 5000 miles.
C) In order to find the probability of a power door lock problem if there have been problems within the first 5000 miles, we need to consider the whole sample:
P = 13 / 1000
= 0.013
Therefore,
N = <span>0.013 </span>× 30000
= 390
Hence, the number of new cars sold that experienced a problem with the power door locks within the first 5000 miles will be 390.
