2 years ago

Change S 25° W to a three digit bearing

Mathematics

1 answer:

victus00 [196]2 years ago

6 0

16the I think the answer 16 because two of

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In measuring reaction time, a psychologist estimates that a standard deviation is .05 seconds. How large a sample of measurement

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Step-by-step explanation:

We are asked to find the size of sample to be 95% confident that the error in psychologist estimate of mean reaction time will not exceed 0.01 seconds.

We will use following formula to solve our given problem.

$n\geq (\frac{z_{\alpha/2}\cdot\sigma}{E})^2$ , where,

$\sigma=\text{Standard deviation}=0.05$ ,

$\alpha=\text{Significance level}=1-0.95=0.05$ ,

$z_{\alpha/2}=\text{Critical value}=z_{0.025}=1.96$ .

$E=\text{Margin of error}$

$n=\text{Sample size}$

Substitute given values:

$n\geq (\frac{z_{0.025}\cdot\sigma}{E})^2$

$n\geq (\frac{1.96\cdot0.05}{0.01})^2$

$n\geq (\frac{0.098}{0.01})^2$

$n\geq (9.8)^2$

$n\geq 96.04$

Therefore, the sample size must be 97 in order to be 95% confident that the error in his estimate of mean reaction time will not exceed 0.01 seconds.

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2 years ago

Amelia and Carmen read every night. Amelia reads the same number of pages each night. So does Carmen. The table shows the number

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Alison has some shapes. She has 14 red cubes and 10 red spheres. She has 12 black cubes and 8 black spheres. Alison is going to

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Step-by-step explanation:

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2 years ago

76 persons can complete the job in 42 days-in how many days will 56 persons do the same job?

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We are given that 76 persons can complete the job in 42 days.

We need to find the number of days will 56 persons do the same job.

Let us assume that in x number of days will 56 persons do the same job.

Number of days taken by 1 person to complete same work = 76 × 42 =3192 days.

56 person will take = $\frac{3192 }{56}$ = 57.

<h3>Therefore, 57 days will 56 persons do the same job.</h3>

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2 years ago

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

spin [16.1K]

Answer:

( 1, 0)

Step-by-step explanation:

you know that the slope of the MN line is 1/4 and a slope perpendicular to that is -4/1 ( negative and reciprocal ). then you can either draw a line from point p with the slope -4/1 and fine the point ( 1, 0 ) or you can do it the harder way which is plug the numbers into y=mx+b with 0 being b because you know the x-axis answer will have a y value of 0. (-4=-4x+0) and x is 1.

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