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2 years ago

Can I please have help?

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

4 0

Answer:

(-3, 3) and (8, -8)

Step-by-step explanation:

having the rule (x + 3, y – 5) and an input point (x,y) you just plu th iput point into the rule and you will get the output point.

With an input point (-6,8) you plug -6 in for x and 8 in for y into the rule.

(x + 3, y – 5)

(-6 + 3, 8 - 5)

(-3, 3)

Now we do the same for (5, -3) as the input

(x + 3, y – 5)

(5 + 3, -3 - 5)

(8, -8)

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The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

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

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

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: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

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

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

3 years ago

What is the complete factorization of the polynomial function over the set of complex numbers?

quester [9]

Answer:

f(x)=(x-2)(x+2)(x-5)

Step-by-step explanation:

f(x)=x³-5x²+4x-20 1. Just group randomly

f(x)=x²(x-5)+4(x-5) 2. Factor the groupings

f(x)=(x²+4)(x-5)

<u>f(x)=(x-2)(x+2)(x-5)</u> 3. Factor the difference of two squares

6 0

2 years ago

Read 2 more answers

PLEASE helppp. What equation describes a line that is perpendicular y=-2/7x+5 and has the same y-intercept as y = 3x - 2?

svp [43]

Answer:

y = 7/2 -2

Step-by-step explanation:

if the slope of the first problem is -2/7 then its perpendicular is 7/2 (the exact opposite) and since the y- intercept is the b in Y= mx +b the intercept of the equation you’re trying to find is -2

6 0

2 years ago

the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface

AURORKA [14]

I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2 $\pi$ r²

The diameter is the sum of 2 radii, hence r=8

D=12
= 2r =12
r=8

With the raduis the area can be found
A= 2 $\pi$ r²
A=2 $\pi$ 8²
A=2(64) $\pi$
A=128 $\pi$

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 $\pi$ /10.99
cost/inch =11.64 $\pi$
= 11.64(3.14)
= 36.57

The pie costs 36 cents per square inch

5 0

2 years ago

If you know can you please help me??

Nezavi [6.7K]

0.42 because i said so

4 0

2 years ago