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4 years ago

Which line segment is a reflection of AB in the x-axis

Mathematics

1 answer:

Ugo [173]4 years ago

8 0

Answer:

its IJ

Step-by-step explanation:

well, its obvious buddy, its asking which line is REFLECTED on the X-AXIS, which is the horizontal line across the screen. (think of the sun setting on the horizon).

so like a mirror, it should be the opposite side and not reflected across the Y-AXIS. hope this helps 6th/5th grader...

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Based upon a smaller sample of only 170 st. paulites, what is the probability that the sample proportion will be within of the p

Pepsi [2]

Given that in 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the complaints they received this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settle. Assume the population proportion of complaints settled for new car dealers is .75, the same as the overall proportion of complaints settled in 2008.

Part a) :

Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).

Population proportion = 0.75
sample size. n = 450
$Standard\ error=\sqrt{\frac{p(1-p)}{n}} \\ \\ =\sqrt{\frac{(0.75)(0.25)}{450}} = 0.0204$

Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0204.

Part b) :

Based upon a sample of 450 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?

The probability that the sample proportion will be within 0.04 of the population proportion is given by:

$P(p\ \textless \ 0.75\pm0.04)=2P\left(z\ \textless \ \frac{0.04}{0.0204} \right)-1 \\ \\ 2P(z\ \textless \ 1.961)-1=2(0.97505)-1=1.9501-1 \\ \\ =\bold{0.9501}$

Therefore, the probability that the sample proportion will be within .04 of the population proportion is 0.9501.

Part C:

Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).

Population proportion = 0.75
sample size. n = 200
$Standard\ error=\sqrt{\frac{p(1-p)}{n}} \\ \\ =\sqrt{\frac{(0.75)(0.25)}{200}} = 0.0306$

Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0306.

Part D):

Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?


The probability that the sample proportion will be within 0.04 of the population proportion is given by:

$P(p\
 \textless \ 0.75\pm0.04)=2P\left(z\ \textless \ \frac{0.04}{0.0306} 
\right)-1 \\ \\ 2P(z\ \textless \ 1.306)-1=2(0.90429)-1=1.80858-1 \\ \\
 =\bold{0.8086}$

Therefore, the probability that the sample proportion will be within .04 of the population proportion is 0.8086.

8 0

3 years ago

If 36^12-m=6^2m, what is the value of m? 4,6,8,9

stealth61 [152]

$36^{12-m}=6^{2m}\\\\(6^2)^{12-m}=6^{2m}\\\\6^{2(12-m)}=6^{2m}\\\\6^{24-2m}=6^{2m}\iff24-2m=2m\ \ \ |add\ 2m\ to\ both\ sides\\\\4m=24\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{m=6}$

3 0

3 years ago

Read 2 more answers

How many positive integers less than 60 have an even number of positive divisors?

saul85 [17]

Answer:

There are 52 such numbers that have even divisors.

Step-by-step explanation:

All the numbers between 2 and 59 have an EVEN number of positive divisors.

Except the Perfect Squares..

or 4, 9, 16, 25, 36 and 49, which have 3 divisors each.

So:

59 - 2 + 1 =58

Now subtract 58 from 6 (perfect squares)

58- 6=52

Therefore,it means that there are 52 such numbers that have EVEN divisors....

8 0

3 years ago

Read 2 more answers

A number

eimsori [14]

Answer:

let the unit digit be x

and the tens digit be y

so x+y = 9 ---> y = 9-x

the number is 10y+x

the number reversed is 10x + y

3(10y+x) = 8(10x + y)

30y + 3x = 80x + 8y

22y = 77x

2y = 7x

2(9-x) = 7x

18 - 2x = 7x

18=9x

x=2

y=7

the number is 72

check:

number is 72

reverse is 27

is 3(72) = 8(27)

8 0

3 years ago

Please answer. Brainliest and alot of points.

Novosadov [1.4K]

Answer:

Area is 582 feet squared

Step-by-step explanation:

So, it suggests you break the shape apart, which is exactly what we can do to solve this problem.

We know that the longest side is 38ft, but to find the remaining length of the top, we will subtract 21 from 38.

So: 38ft - 21ft = 17ft

Now we can break the shape. The square will be 21 by 18 ft, and the remaining rectangle shape will be 12 by 17ft.

For the area, we'll start with the square. The formula for area is length times width: A=LW

For the square, we have the length, 21, and the width 18ft. All we have to do is multiply them:

21 * 18 = 378ft. squared

Now we can move on the rectangle, which has a length of 17ft, and width of 12ft.

12 * 17 = 204ft. squared

Last step! We add our areas together to get the entire shape's area. So..

378ft. + 204ft. = 582ft. squared

Good luck :P

8 0

4 years ago

Read 2 more answers