Find the value of y so that the line passing through the two points have the given slope (2,3) (7,y) m=-2/5
1 answer:
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<u>Answer:</u>
- a = 7.4
<u>Step-by-step explanation:</u>
<u>We can find 'a' through Pythagoras theorem.</u>
- => 8² = 3² + a²
- => 64 = 9 + a²
- => a² = 55
- => a = √55
- => a = 7.416 = 7.4
Hoped this helped.
If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.
Given 95% confidence level, standard deviation=0.05.
We know that margin of error is the range of values below and above the sample statistic in a confidence interval.
We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data near the mean are more frequent in occurence than data far from mean.
We know that margin of error for a confidence interval is given by:
Me=
α=1-0.95=0.05
α/2=0.025
z with α/2=1.96 (using normal distribution table)
Solving for n using formula of margin of error.
n=
=96.4
By rounding off we will get 97.
Hence the sample size required will be 97.
Learn more about standard deviation at brainly.com/question/475676
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The given question is incomplete and the full question is as under:
If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?