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2 years ago

Triangle PQR hAS vertices P (4,-1),Q(-2,7), and R (9,9). find an equation of the median from R

1 answer:

7 0

A median intersects at the midpoint of the opposite length. The midpoint is:

x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3

The midpoint is at (1,3). With this point and point R(9,9), the equation would be:

y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25

Thus, the equation for the median is:

y = 0.75x + 2.25

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A major television manufacturer has determined that its 44 inch screens have a mean service life that can be modeled by a normal

Neko [114]

Answer:

$P(5$

And we can find this probability with thie difference:

$P(-2$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-2$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(6,0.5)$

Where $\mu=6$ and $\sigma=0.5$

We are interested on this probability

$P(5$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(5$

And we can find this probability with thie difference:

$P(-2$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-2$

5 0

2 years ago

You are on a limited budget and planning a four day camping trip to a national park. bus fare is 75 dollars each way and the rid

Schach [20]

Considering that you are planning the trip with limited budget and only for 4 days (=96h) you must value both time and money when doing it.

If you use the bus you spend $75 + $75=$150 and 12h + 12h = 24h. This means you spend $150 to enjoy 96h - 24h = 72h of actually camping. This means you pay $150/72h = $2,08 per hour of actual camping.

On the other hand if you choose the plane you spend $150 + $ 150 = $300 and 1,5h + 1,5h = 3h. This means you spend $300 to enjoy 96h - 3h = 93h. This means you pay $300/93h = $3,22 per hour of actual camping.

Considering all that, taking the bus his the most cost-effective option (and the cheaper one also).

6 0

2 years ago

William just got hired for a new job and will make \$78,000$78,000 in his first year. William was told that he can expect to get

ASHA 777 [7]

Answer:

$162,000

Step-by-step explanation:

I hope this is help

7 0

2 years ago

Read 2 more answers

PLEASE HELP IMAGE BELOW

gtnhenbr [62]

Answer:

Q1) ans-16%

Q2) ans-50%

Q3) ans- 16%

Q4) yes, I think the question 3 and 1 are same

5 0

1 year ago

F has 10 more marbles than I. Both boys have 15 marbles combined. How many marbles does each boy have?

olganol [36]

Answer:

F has 10 marbles and I has 5 marbles.

Step-by-step explanation:

First, I subtracted 10 from 15 since F has 10 more marbles than I. When I subtracted I got 5.

Hope this helps!!!!

4 0

2 years ago