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pickupchik [31]
3 years ago
11

Given: Circle k(O), O∈

Mathematics
2 answers:
Liula [17]3 years ago
5 0

I already did this question once so I'm just gonna include the answer

Misha Larkins [42]3 years ago
5 0

Answer: The value of KP = 12 units.

Step-by-step explanation:

Since we have given that

KE is a tangent with KE = 18

KPL is a secant with PL = 15

Let KP = x

Since we know that The product of segments of secants is square of the tangents.

Mathematically, it is expressed as ,

KE^2=KP.KL\\\\18^2=x(x+15)\\\\324=x^2+15x\\\\x^2+15x-324=0\\\\x^2+27x-12x-324=0\\\\x(x+27)-12(x+27)=0\\\\(x+27)(x-12)=0\\\\x=-27,x=12

Measure of secant can't be negative.

So, KP = 12

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What proportion of US women have a height greater than 69.5 inches?
kiruha [24]

Using the Normal distribution, it is found that 0.0359 = 3.59% of US women have a height greater than 69.5 inches.

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It 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, which is the percentile of X.

US women’s heights are normally distributed with mean 65 inches and standard deviation 2.5  inches, hence \mu = 65, \sigma = 2.5.

The proportion of US women that have a height greater than 69.5 inches is <u>1 subtracted by the p-value of Z when X = 69.5</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{69.5 - 65}{2.5}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359

0.0359 = 3.59% of US women have a height greater than 69.5 inches.

You can learn more about the Normal distribution at brainly.com/question/24663213

3 0
3 years ago
Howard downloaded 6 more songs Latham Erin. Lee downloaded 3 more than Howard. Lee downloaded 16 songs. How many songs did Erin
diamong [38]
If Lee downloaded 3 more songs than Howard (16 total songs), that means that Howard downloaded 13 songs (total). If Howard downloaded 13 songs, he downloaded 6 more than Erin. Therefore, you would subtract 6 from 13 to get 7. 

Answer: Erin downloaded 7 songs
7 0
4 years ago
Read 2 more answers
Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone. Jim also sells new drones for 15% mo
adell [148]

The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

He sells used drones at 70% of the price (x).

So, the selling price of a used drone is:

\mathbf{Used = 70\% \times x}

Express percentage as decimal

\mathbf{Used = 0.7 \times x}

\mathbf{Used = 0.7x}

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

\mathbf{New= (1 + 15\%) \times x}

Express percentage as decimal

\mathbf{New= (1 + 0.15) \times x}

\mathbf{New= 1.15 \times x}

\mathbf{New= 1.15x}

The amount saved is the difference between the prices of the drones.

So, we have:

\mathbf{Saved =New - Old}

This gives

\mathbf{Saved =1.15x- 0.7x}

Subtract

\mathbf{Saved =0.45x}

Express as a function

\mathbf{f(x) = 0.45x}

Hence, the function for the amount saved is f(x) = 0.45x

Read more about proportions at:

brainly.com/question/13114933

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2 years ago
Which data set is represented by the modified box plot 92,88,100,136,106,79,88,86,98,115
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Answer:

One dot mark above one hundred and thirty-six. A) 92, 88, 100, 136, 106, 79, 88, 86, 98, 115. B) 92, 88, 100 ...

Step-by-step explanation:

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Cassidy is using six different pontominoes to make a rectangle
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Answer:

D

Step-by-step explanation:

D

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