All categories

2 years ago

Question 23) Triangle PQR Triangle XYZ PQ = 3a + 4 and XY = 5a - 12. Find a and PQ.

Mathematics

1 answer:

uysha [10]2 years ago

4 0

A=8 and PQ=28.

the way I solved the problem is attached. hope this helped.

You might be interested in

BEST ANSWER GETS BRAINLIEST!!!!

Vika [28.1K]

A:
An independent variable could be how long she works. (Well it's not really independent I guess... Sorta depends.)
A dependent variable could be how much money she makes, depending on how long she works.

B:
Umm, like:
(1, 7)
If 1 was how many hours she worked and $7 is how much money she made, and therefore x would be how many hours she worked and y would be how much total money she made.
(2, 14)
(3, 21)

C: An equation would be 7x = y.

6 0

3 years ago

Write an equation for the following graph.

romanna [79]

Y=Ix+1I-3
the absolute value of( x+1) minus 3

3 0

3 years ago

Of all rectangles with a fixed perimeter of p, which one has the maximum area? (give the dimensions in terms of p.)

TiliK225 [7]

<span>For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.</span>

8 0

3 years ago

Assume that the empirical rule is a good model for the time it takes for all passengers to board an airplane. The mean time is 4

slamgirl [31]

Answer:

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 48, \sigma = 4$ .

Which interval describes how long it takes for passengers to board the middle 95% of the time?

This is between the 2.5th percentile and the 97.5th percentile.

So this interval is the value of X when Z has a a pvalue of 0.025 and the value of X when Z has a pvalue of 0.975

Lower Limit

Z has a pvalue of 0.025 when $Z = -1.96$ . So

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

$-1.96 = \frac{X - 48}{4}$

$X - 48 = -1.96*4$

$X = 40.16$

Upper Limit

Z has a pvalue of 0.975 when $Z = 1.96$ . So

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

$1.96 = \frac{X - 48}{4}$

$X - 48 = 1.96*4$

$X = 55.84$

The interval that describes how long it takes for passengers to board the middle 95% of the time is between 40.16 minutes and 55.84 minutes.

7 0

3 years ago

Heelp me im struggling

olga nikolaevna [1]

Answer:

b. -30

Step-by-step explanation:

the reason why it is B is because the operation in front of the number that stands alone without being a constant number that increases (or decreases) like the number 2, it has an x next to it which means that the number 2 is going to increase at a constant rate.

<em>hope it helps:)</em>

6 0

3 years ago