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2 years ago

Given that S is the centroid of triangle MNO, find SQ.

Mathematics

1 answer:

DochEvi [55]2 years ago

8 0

Answer:

First, we need to calculate for x. Since,

MP = PN

Thus,

3x-4 = x+4

2x = 8

x = 4

Next, we calculate for MS

MS = 2x + 2 = 10

Since, MS = 2SQ

10 = 2SQ

Then,

SQ = 5 units

Therefore, the correct answer is B.

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Polynomials are written with the exponents of the terms in _____ order.

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Answer: "...in descending order."

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2 years ago

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The grid shows Figure Q and its image Figure Q′ after a transformation.

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The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

<h3>What is transformation?</h3>

A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.

We have,

Coordinates of a pentagon Q.

(2, 4), (3, 7), (7, 5), (5,4), and (4,2).

Coordinates of pentagon Q'.

(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).

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The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.

From the first quadrant to 3rd quadrant there is a rotation of 180°.

Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

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2 months ago

Denny lives in Maryland and pay 6% in sales tax. He just bought $145 in groceries, but $70 worth of those groceries were non tax

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Suppose that the weights of passengers on a flight to Greenland on Frigid Aire Lines are normal with mean 175 pounds and standar

Natali5045456 [20]

Answer:

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

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:

$\mu = 175, \sigma = 22$

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?

90th percentile

The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So

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

$1.28 = \frac{X - 175}{22}$

$X - 175 = 22*1.28$

$X = 203.16$

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2 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

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