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Elza [17]
2 years ago
12

Please answer this correctly without making mistakes.I want ace expert and genius people to answer this correctly without making

mistakes

Mathematics
2 answers:
aniked [119]2 years ago
4 0

Answer:

10v*3 =

30v

Step-by-step explanation:

That's the answer

Ainat [17]2 years ago
4 0

Answer:

10v × 3

Step-by-step explanation:

<em>Multiply the product of v and 10 by 3.</em>

Firstly, the product of two numbers is the resulting value after you multiply them. Therefore, the product of v and 10 is 10v.

Now, we're told to multiply this value by 3. Because the product of v and 10 is 10v, we get 10v × 3 when we multiply it by 3.

I hope this helps!

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Suppose that the national average for the math portion of the College Board's SAT is 515. The College Board periodically rescale
nasty-shy [4]

Answer:

a) 16% of students have an SAT math score greater than 615.

b) 2.5% of students have an SAT math score greater than 715.

c) 34% of students have an SAT math score between 415 and 515.

d) Z = 1.05

e) Z = -1.10

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the empirical rule.

Normal probability distribution

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.

Empirical rule

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

\mu = 515, \sigma = 100

(a) What percentage of students have an SAT math score greater than 615?

615 is one standard deviation above the mean.

68% of the measures are within 1 standard deviation of the mean. The other 32% are more than 1 standard deviation from the mean. The normal probability distribution is symmetric. So of those 32%, 16% are more than 1 standard deviation above the mean and 16% more then 1 standard deviation below the mean.

So, 16% of students have an SAT math score greater than 615.

(b) What percentage of students have an SAT math score greater than 715?

715 is two standard deviations above the mean.

95% of the measures are within 2 standard deviations of the mean. The other 5% are more than 2 standard deviations from the mean. The normal probability distribution is symmetric. So of those 5%, 2.5% are more than 2 standard deviations above the mean and 2.5% more then 2 standard deviations below the mean.

So, 2.5% of students have an SAT math score greater than 715.

(c) What percentage of students have an SAT math score between 415 and 515?

415 is one standard deviation below the mean.

515 is the mean

68% of the measures are within 1 standard deviation of the mean. The normal probability distribution is symmetric, which means that of these 68%, 34% are within 1 standard deviation below the mean and the mean, and 34% are within the mean and 1 standard deviation above the mean.

So, 34% of students have an SAT math score between 415 and 515.

(d) What is the z-score for student with an SAT math score of 620?

We have that:

\mu = 515, \sigma = 100

This is Z when X = 620. So

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

Z = \frac{620 - 515}{100}

Z = 1.05

(e) What is the z-score for a student with an SAT math score of 405?

We have that:

\mu = 515, \sigma = 100

This is Z when X = 405. So

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

Z = \frac{405 - 515}{100}

Z = -1.10

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3 years ago
Vaughn spent 3.5 hours at the pool over the past week. If he spent an equal amount of time over the last 7 days, how much time d
Sav [38]
He spent 0.5 hours per day
6 0
3 years ago
Read 2 more answers
a new car is purchased for 207000 dollars. the value of the car depreciates at 11% per year. what will the value of the car be,
kicyunya [14]
Depreciation of 11% per year means that the price is multiplied by 89% (0.89) every year. Do this 11 times or use exponents

Final price:
207000*(0.89^11) = 57446.083
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3 years ago
Determine length of RT
dalvyx [7]

Answer:

20

Step-by-step explanation:

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2 years ago
(Would be very much appreciated if it was answered asap, please and thank you! =D)
LUCKY_DIMON [66]
The equation 3.3x - 6.6 = 2.7x is equal to the expression 0.6x = 6.6 (2nd option)
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