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goblinko [34]
3 years ago
6

Complete the equation of the line through (2,1)and (5,-8)

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

m =  \frac{ - 8 - 1}{5 - 2}  \\   = \frac { - 9}{3}  \\  m  =  - 3 \\ y = mx + c \\ 1 =  - 3(2) + c \\ c = 7 \\ y = mx + c \\ y =  - 3x + 7
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A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail
gregori [183]

Answer:

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

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 25 charged purchases and a standard distribution of 2

This means that \mu = 25, \sigma = 2

Proportion above 27

1 subtracted by the pvalue of Z when X = 27. So

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

Z = \frac{27 - 25}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

1 - 0.8413 = 0.1587

Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?

0.1587*100% = 15.87%

15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.

6 0
2 years ago
Write an algebraic expression for the phrase "thirty less than the product of a number y and four".
zzz [600]

Answer:

30-(y*4)

Step-by-step explanation:

replace thirty with 30. less than is - (minus). the product of a number y and four. replace four with 4. the product is the answer of the multiplication problem. so the multiplication problem here would be y*4. so the full answer is

30-(y*4)

8 0
3 years ago
Read 2 more answers
Can you please help me with this I been stuck for a long time
yarga [219]

Answer:

Step-by-step explanation:

2.671 = (2.67 × 100)(1 × 100) = 267100. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 267100 is also equal to 267100 when expressed as a mixed number.

3 0
3 years ago
PLZ NEED HELP QUESTION IN THE PICUTRE
notsponge [240]

Answer:

<em>Option B</em>

Step-by-step explanation:

<u>Congruent Triangles</u>

The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both triangles are congruent, then the two triangles are similar.

The triangles \Delta LKN\ and\ \Delta KNM are congruent if the relation between LK and KN is the same as the relation between KN and MN, that is

\displaystyle \frac{4}{2}=\frac{2}{MN}

It means that

MN=1

Option B

6 0
3 years ago
There are 102102 students in a statistics class. The instructor must choose two students at random. Students in a Statistics Cla
asambeis [7]

Answer:

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?

There are 5 freshman non-Statistics majors out of 102 students.

Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So

p = \frac{5}{102}*\frac{18}{101} = \frac{5*18}{102*101} = 0.0087

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

8 0
3 years ago
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