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3 years ago

1. Which monomial has the highest degree? A 18a5 B 12ab C 9ab D 6abaca

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Question:Which monomial has the highest degree? Answer:

The sum of the exponents of the variables in the monomial. This must be positive and cannot be a fraction or decimal. i think A 18a5 is the answer please do tell me if i am wrong it took me a bit to get this answer have a nice weekend

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5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that $\mu = 1511, \sigma = 312$

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

$1.645 = \frac{X - 1511}{312}$

$X - 1511 = 1.645*312$

$X = 2024$

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that $\mu = 21.1, \sigma = 5.1$ . So

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

$1.645 = \frac{X - 21.1}{5.1}$

$X - 21.1 = 1.645*5.1$

$X = 29.49$

The equivalent ACT score is 29.49.

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2 years ago

Are these parallel, perpendicular, or neither?

Elina [12.6K]

Answer: I think it’s neither

Explanation:

The line is parallel unless the slope is the same and with a different y-intercept

The line are perpendicular unless the one of the slope is the negative reciprocal of the other.

And both equation didn’t meet any of the requirement.

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3 years ago

Which set of rectangular coordinates describes the same location as the polar coordinates (6sqrt 2, 3pi/4)

Sonja [21]

Polar coordinates=(6sqrt 2, 3pi/4)=(r, theta)→r=6 sqrt 2, theta=3pi/4
Rectangular coordinates=(x,y)=?

x=r cos theta=(6 sqrt 2) cos(3pi/4)=(6 sqrt 2)(-sqrt 2 / 2)
x=-3 (sqrt 2)^2=-3(2)→x=-6

y=r sin theta=(6 sqrt 2) sin (3pi/4)=(6 sqrt 2)(sqrt 2 / 2)
y=3 (sqrt 2)^2=3(2)→y=6

Rectangular coordinates of the point = (x,y) =(-6,6)

Answer: Option a. (-6,6)

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3 years ago

Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which stat

miv72 [106K]

Answer:

Step-by-step explanation:

Discussion

She is correct.

An equilateral triangle is a specific acute triangle. An acute triangle can never be an equilateral triangle because it has 3 unequal angles. Your best choice is likely C, but none of the choices are first rate choices.

Answer: C

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2 years ago

Please the answer for 45 46 number 47 please fast this is due yesterday I foroot i will give you brainlist

ser-zykov [4K]

Answer:

I think you need to attach something

Step-by-step explanation:

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3 years ago