10. If possible, determine whether or not triangles LQP and LMN
are similar. Give a detailed explanation for your answer.
PLEASE HELP!!

Answer:

0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].

72% report that they color their hair to hide their gray.

This means that [tex]\mu = p = 0.72[/tex]

What is the probability that under 70% color their hair in a group of 85 older women?

For a sample of 85, we have that [tex]s = \sqrt{\frac{0.72*0.28}{85}} = 0.0487[/tex]

This probability is the pvalue of Z when X = 0.7. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.7 - 0.72}{0.0487}[/tex]

[tex]Z = -0.41[/tex]

[tex]Z = -0.41[/tex] has a pvalue of 0.3409

0.3409 = 34.09% probability that under 70% color their hair in a group of 85 older women.

Answer:

64 miles per hour.

Step-by-step explanation:

we are asked to look for the velocity of this car. to find it, we use the equation [tex]velocity = \frac{distance}{time}[/tex]. we substitute the given to the equation:

[tex]velocity = \frac{224 m}{3.5 hr}[/tex]

velocity = 64 miles per hour

Answer:

what do you need help with?

Step-by-step explanation:

**you will get a real answer i promise**:)

Answer:

I don't understand the problem

Answer:

The perimeter of the rhombus is approximately 19.999.

Step-by-step explanation:

First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:

Segment AC

[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]

[tex]AC \approx 9.899[/tex]

Segment BD

[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]

[tex]BD \approx 1.414[/tex]

The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:

[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]

[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]

[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]

[tex]p \approx 19.999[/tex]

The perimeter of the rhombus is approximately 19.999.

Answer:

f ( 1 )= 20; f ( n )= f (n - 1) + 5, for n > 2

(the > has a line under it)

Step-by-step explanation:

Answer:

f (1) = 20; f (n) = 2 · f (n - 1) - 0.3 · f (n - 1) + 5, for n ≥ 2

Step-by-step explanation:

The other person left some numbers out.

Answer:

8

Step-by-step explanation:

Answer:

0.020

Step-by-step explanation:

Given that,

μ = 17,

σ = 0.7,

x¯ = 16.7 hours

n(number of batteries) = 30

To find,

The probability(e) by using μ\frac{σ}{[tex]\sqrt{n}[/tex]} = normal cdf

∵ (E - 99, 16.7 , 17, 0.8/[tex]\sqrt{30}[/tex])

The probability of getting a random sample of 30 batteries = 0.020

Hence, the claim is reasonable as only 2% of batteries are likely to last till 16.7 hours.

Answer:

I believe the answer is 5.657 square inches.

Step-by-step explanation:

Find the area of the base [tex]A=64\pi[/tex].

Multiply area of the base by height to get volume

[tex]V=20\cdot64\pi=4021.24[/tex]

Hope this helps.

Answer:

1138050

Step-by-step explanation:

Multiply 843,000 by 0.35 and then add the numbers together.

Please mark brainliest

Answer: 128 people

Step-by-step explanation:

every 2 people get a gallon so 2*64=128

Answer:

x=98

Step-by-step explanation:

all interior angles in a hexagon equals 720, just subtract 720 by every known angle and you are left with the unknown angle

Answer:

Gets Smaller

If her model is valid, she expect from the total data collected after three months that the difference between the data and the model will get smaller. The correct option is A.

When some amount of money is used to buy the share of a particular company, then the percentage of total sales generated by that company is called the market share.

A financial analyst collects data over the next month to evaluate her model. At the end of the month, she finds that for one of the companies, the difference between her model and the data is 5%. She decides to collect data for an additional two months.

If the model is valid, then she can assume that her assumptions are correct over the model according to the data. It will result in decreasing the bridge gap between the model and the collected data.

Therefore, If her model is valid, she expect from the total data collected after three months that the difference between the data and the model will get smaller. The correct option is A.

Learn more about market shares.

https://brainly.com/question/15298247

#SPJ2

Answer:

A

Step-by-step explanation:

hryhrhdvshzhsbdyxhdbdhxhbd

Answer:

A

Step-by-step explanation:

i dunno but its right! stay safe stay healthy <3

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

(8*P) + (0.25*m)=C

P = People

Answer:

Step-by-step explanation:

A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.

9514 1404 393

Answer:

  0, 1, 2, 3

Step-by-step explanation:

The set of absolute values of integers is the set of non-negative integers. The four smallest values of the set are ...

  0, 1, 2, 3

Answer:

strongly skewed right

Step-by-step explanation:

since the sample size is under 30, it will remain skewed right.

The shape of the distribution of the sample mean for all possible random samples of size 10 from this population is strongly skewed right.

It should be noted that sampling simply means the selection process from a particular population.

In this case, the shape of the distribution of the sample mean for all possible random samples of size 10 from this population is strongly skewed right. This is because the sample size is under 30.

Learn more about sampling on:

https://brainly.com/question/24466382

Answer:

Step-by-step explanation:

The sum of a number and its inverse is 3 29/52. Find the number?

x+1/x=329/52

x+1/x-329/52=0

solve the fraction

(

using the quadratic formular

Answer:

Step-by-step explanation:

the yellow is the glow in the dark kind

Answer:

Not completely sure for the rest, but I believe the range is incorrect: the range represents y-values, not x-values.

So it should be 0 ≤ y ≤ π

Answer:

9% of 124 is 11.16

If [tex]h(t)=3[/tex] then [tex]h(4)=3[/tex]

Answer:

37.7

Step-by-step explanation:

The orginal answer is 37.699

But you want to round the tenth

So 9 to the 6 you want to rasie the score

6 turns into a 7 and the numbers behind it (9 and the other 9) turn into a zero

37.7 or 37.700

Answer:

Given that 1minute =3/7of the vessel

let the time taken in minutes to fill the whole of the vessel be' x' minute.

1min =3/7

xmin =whole vessel =1=7/7

=3x/7=1=x=7/3=2.3min=2min.3sec

Answer:

it's A!!!

Step-by-step explanation:

hoped I helped

Answer:

The anwser is A.

Step-by-step explanation:

4x+y=6 and x-2y=6 so the answer is 2, and -2

Answer:

1..............................

Answer:

26 inches

Step-by-step explanation:

You find out that 1 foot equals 12 inches

times 2 by 12 equaling 24

24 added by 2 is 26

1/6 as a decimal is 1.83 infinitive 3 which is rounded to 2 as the whole number

makes your answer 26 inches

Hope that helps

Answer:

2

Step-by-step explanation:

PEMDAS says to do the equations in parentheses first

(14-4) = 10

PEMDAS then says to do multiplication or division, whichever comes first in the equation, which is multiplication in this case

(10)2 = 20

20 ÷ 10 = 2