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3 years ago

Given scalene triangle DEF, explain how to find locus of points equidistant from DE EF DF using incenter

1 answer:

5 0

Points equidistant from DE EF are in the bisector of angle DEF
points equidistant from EF DF are in the bisector of angle EFD
the sought after point is the intersection of bisectricess of triangle

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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10

lina2011 [118]

Answer:

a) 6.68th percentile

b) 617.5 points

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

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

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

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.

In this problem, we have that:

$\mu = 550, \sigma = 100$

a) A student who scored 400 on the Math SAT was at the ______ th percentile of the score distribution.

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

$Z = \frac{400 - 550}{100}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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

$0.675 = \frac{X - 550}{100}$

$X - 550 = 0.675*100$

$X = 617.5$

6 0

3 years ago

Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far di

Schach [20]

In 5 hours Paul travelled 115 miles

4 0

2 years ago

Use the digits 2,3,and 4 one time each to correctly complete the following problem. __00 * __ __ = 6,800

azamat

Answer:

200*34=6800

Step-by-step explanation:

Write the possible combinations like

200*34

200*43

300*24

300*42

400*32

400*23

then you chose what will give you 6800 as the answer

4 0

2 years ago

What is i^85 HELP<br> PLEASE!!!!!!!!!!!!!

kodGreya [7K]

Answer:

the answer to your question is b

8 0

3 years ago

Marina earns $15 for 1 hour of babysitting $23 for 2 hours of babysitting and $31 for 3 hours of babysitting. Write a function t

DochEvi [55]

Answer:

Step-by-step explanation:

Let y represent the amount that Marina earns for babysitting.

Let x represent the number of hours of babysitting.

If we plot the graph of y on the vertical axis and x on the horizontal axis of a graph,

the slope which is expressed as

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

Slope = (23 - 15)/(2 - 1) = 8

We would model the function in the slope intercept form which is expressed as

y = mx + c

Where c represents the intercept.

To determine c, we would substitute y = 15, x = 1 and m = 8 into y =mx + c. It becomes

15 = 8 × 1 + c

15 = 8 + c

c = 15 - 8 = 7

The function that describes the sequence would be

y = 8x + 7

7 0

2 years ago