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3 years ago

19. When the members of a high school club are

Mathematics

1 answer:

Korvikt [17]3 years ago

5 0

9514 1404 393

Answer:

B. 25 people

Step-by-step explanation:

The remainders tell you the number will be 1 more than some multiple of the least common multiple (LCM) of 2, 3, and 4. The LCM is 3·4 = 12, so we want some multiple (n) of that such that 12n+1 is a multiple of 5. We know this is the case for n=2.

The least number of people who could be in the club is 2·12+1 = 25.

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A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d

Helga [31]

Answer:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma =80$ represent the population standard deviation

n=400 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since the Confidence is 0.94 or 94%, the value of $\alpha=0.06$ and $\alpha/2 =0.03$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that $z_{\alpha/2}=1.8808$

The margin of error is given by:

$ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232$

4 0

4 years ago

A crew is made up of 9 men, the rest are women. 33 1/2% Of The crew. How many people are in the crew?

Readme [11.4K]

12 people are in the crew

4 0

4 years ago

A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?A tra

Law Incorporation [45]

Answer:

47.5

Step-by-step explanation:

A= h·( $\frac{b1+b2}{2}$ )

So, 11cm+8cm=19cm

19cm÷2=9.5cm

9.5cm×5cm=47.5cm

Therefore your answer is 47.5cm

4 0

3 years ago

So I’m doing my homework and I don’t know 3 2/3 + 5/4

andrew11 [14]

What you do is:

Convert 3 2/3 into an improper fraction

Multiplying the whole number to the denominator, of which the total is added by the numerator

The denominator stays the same whilst the numerator is the new total = 11

So it'll be 11/3

Now you see that you must find the sum of 11/3 + 5/4

Find the LCM of both denominators, which 12, multiplying the amount needed to make them twelve to the numerators.

You then get:

44/12 + 15/12 = 59/12

59/12 --> 2 11/12

3 0

4 years ago

Help plaeaseee thank u if u do

Tju [1.3M]

Answer:

T=5

U=6

V=7

W=4

X=5

Y=4

Step-by-step explanation:

1. T + t + 3=13

2t = 10

T= 10/2=5

-------

2. 3u - 1 =17

3u = 18

u = 18/3 =6

_______

3. V+ v - 2 =12

2v = 14

V=7

______

4. w-4 =0

W=4

_______

5. 2x - 10 =0

2x = 10

X=5

_______

6. 12 - 3y=0

- 3y =-12

3y =12

Y=4

$good \: luck$

8 0

4 years ago

Read 2 more answers