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4 years ago

HELP ASAP !!!! I AM STUCK IN A MESS HELP !!!! Which is the correct answer !!!!

Mathematics

2 answers:

Pavlova-9 [17]4 years ago

7 0

I think it is a correct me if i am wrong

Rufina [12.5K]4 years ago

4 0

Answer:

Step-by-step explanation:

Im not sure if its correct tho dont quote me on it ;(

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A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s

arsen [322]

Answer:

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

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".

$\bar X=150000$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 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)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=35-1=34$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,34)".And we see that $t_{\alpha/2}=2.032$

Now we have everything in order to replace into formula (1):

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

3 0

4 years ago

State the Pythagorean theorem using the triangle shown below

AlekseyPX

Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

7 0

3 years ago

Read 2 more answers

Please please please help help help help help!!!!!!!!!!!!!

Feliz [49]

Answer:

15 and 108

Step-by-step explanation:

3*(30-25)=3*5=15

4*(12+15)=4*27=108

5 0

3 years ago

a scale drawing of a bus has a scale of 1/2 inch to 5 feet. If the length of the school bus is 4 1/2 inches on the scale drawing

TEA [102]

Let x feet be the actual length of the school bus. You know that in a scale drawing

$\dfrac{1}{2} \text{ inch } - 5 \text{ feet},$

then

$4\dfrac{1}{2} \text{ inch } - x \text{ feet}.$

Write a proportion:

$\dfrac{\frac{1}{2}}{4\frac{1}{2}}=\dfrac{5}{x}\Rightarrow x=\dfrac{5\cdot 4\frac{1}{2}}{\frac{1}{2}}=\dfrac{5\cdot \frac{9}{2}}{\frac{1}{2}}=\dfrac{\frac{45}{2}}{\frac{1}{2}}=\dfrac{45}{2}\cdot \dfrac{2}{1}=45\text{ feet.}$

Answer: the actual length of the school bus is 45 feet.

8 0

3 years ago

Read 2 more answers

When x increases from a to a + 2, y increases by a difference of 8. For which functions is this statement true?

lord [1]

Answer:

That would be Option C.

Step-by-step explanation:

Lets look at y = 4x + 2:-

Let x = a then y = 4a + 2

Now if x in creases to a +2, y = 4(a +2) + 2 = 4a + 8 + 2

= 4a + 10.

(4a + 10) - (4a + 2) = 8 , so this is the required expression, y = 4x + 2.

6 0

3 years ago