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3 years ago

James took two math test.he score 86 points on the second .This was 18 points higher

Mathematics

1 answer:

Alexxx [7]3 years ago

5 0

The first test was 68 points

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. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al

Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

$E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }$

$n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2$

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, $Z_\frac{\alpha }{2}$ is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, $Z_\frac{\alpha }{2}$ = 3. Hence:

$n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900$

6 0

3 years ago

Fast-Food Bills for Drive-Thru Customers A random sample of 49 cars in the drive-thru of a popular fast food restaurant revealed

sergeinik [125]

Answer:

sample mean:: 17.92

ME = z*s/sqrt(n) = 1.8807*6.35/sqrt(47) = 1.7421

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Step-by-step explanation:

6 0

3 years ago

Find the value of csc theta, if cos =-3/5; 90 degrees < theta < 180 degrees

Sloan [31]

Answer: $\frac{5}{4}$

Step-by-step explanation:

Given

$\cos \theta =\frac{-3}{5}$

and $\theta$ lies between

$90^{\circ}$

and for this $\theta$ , $\sin$ and $\text{cosec}$ is Positive as they lie in 2 nd Quadrant

$\sin ^2\theta +\cos ^2\theta =1$

$\sin ^2\theta =1-(\frac{-3}{5})^2$

$\sin ^2\theta =1-\frac{9}{25}$

$\sin ^2\theta =\frac{16}{25}$

$\sin \theta =\frac{4}{5}$

$\therefore \text{cosec}\ \theta =\frac{5}{4}$

6 0

3 years ago

45/14 as a decimal rounded to the nearest 10th

ozzi

Answer:

3.2

Step-by-step explanation:

3.21428571429 is the exact answer and rounded to the nearest tenth is the first number after the decimal.

4 0

2 years ago

A comic book costs $3.99, including tax. It is marked up 45%.

nalin [4]

10% of 3.99=0.399x4=1.596
1% of 3.99=0.0399x5=0.1995
1.596+0.1995=1.7955
1.8(Rounded)+3.99=5.79

7 0

3 years ago

Read 2 more answers