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3 years ago

What is the value of y−5x−3for x = 2 and y = -4

Mathematics

2 answers:

arlik [135]3 years ago

8 0

Answer

-17

<u>Explanation</u>

y−5x−3 for x = 2 and y = -4

We solve this question by substituting the values of y and x.

y−5x−3 = -4 - 5(2) - 3

= -4 - 10 -3

= -14 - 3

= -17

svet-max [94.6K]3 years ago

4 0

y−5x−3 for x = 2 and y = -4

To find the value of y−5x−3 , we plug in 2 for x and -4 for y

y−5x−3

-4 - 5(2) - 3

Now we use order of operation and simplify it

We remove the parenthesis first

-4 - 10 -3

Now we add all the numbers and put the same sign because all the numbers are negative

-17

The value of y−5x−3 is -17

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3 years ago

What is the rule: 36 --> 60, 12 --> 20, 6 --> 10, 15 --> 25

Mazyrski [523]

36 to 60 = 22
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3 years ago

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Zarrin [17]

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3 years ago

A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8

Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

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.

Mean of 61 and a standard deviation of 8.

This means that $\mu = 61, \sigma = 8$

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

$-0.675 = \frac{X - 61}{8}$

$X - 61 = -0.675*8$

$X = 55.6$

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

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8 0

3 years ago

Can somone help me with number 23 and 24

tangare [24]

23.

store price = 14 + 0.5(14)

store price = 21

customer price = 21 + 0.08(21)

customer price = 21 + 1.68

customer price = $22.68

24.

formula: A = P(1 + rt)

A = 140(1 + (0.03)(2))

A = 140(1.06)

A = 148.40

interest = 148.40 = 140

interest = $8.40

Hope this helps!! :)

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3 years ago

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