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3 years ago

Please help me with this question

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer:

x = 11

Step-by-step explanation:

Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:

PQ / PT = QR / TU = PR / PU

We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:

PQ / PT = PR / PU

Now, we can substitute the values given by the diagram:

70 / 30 = 49 / (x + 10)

We can cross multiply,

70(x + 10) = 30 * 49

And divide by 70 on both sides(too lazy to multiply :P)

x + 10 = 3 * 7

x + 10 = 21

x = 11

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What are the factors of x^3-2x^2+x+2

Delicious77 [7]

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3 years ago

A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I

Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

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:

$\mu = 115, \sigma = 17$

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

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

$1.405 = \frac{X - 115}{17}$

$X - 115 = 17*1.405$

$X = 138.885$

A person must get an IQ score of at least 138.885 to qualify.

5 0

3 years ago

Read 2 more answers

Which of these numbers is irrational?

Sidana [21]

Which of these numbers is irrational?
a. square root of 3
b. 0.25
c. 1/5
d. square root of 9

answer
a. square root of 3
--------------------------------
What is (-7)^5 in expanded form?
a. -7 • -7 • -7 • -7 • -7
b. -7 • 5
c. (-7) • 7 • (-7) • 7 • (-7) • -7
d. 5 • 5 • 5 • 5 • 5 • 5 • 5

answer

a. -7 • -7 • -7 • -7 • -7

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3 years ago

Sylvia took three times in a video game she scored -120 points during her first turn 320 points in her second time and -80 point

sp2606 [1]

Her average score for the 3 turns is 40 because you have to add all of the scores so -80 and -120 is -200 so add that to 320 and you get 120 divide that by 3 because she took 3 turns and you get 40

3 0

3 years ago

What is the value of x?

AlekseyPX

Answer:

x = 9 cm

create proportional equation:

$\sf \dfrac{9}{3x-20} = \dfrac{72+9}{3x-20+56}$