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Zinaida [17]
3 years ago
12

Write the equation of the line in fully simplified slope-intercept form.

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer: y = -x - 8

Step-by-step explanation:

y = -x - 8

slope = -1/1

yint = -8

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A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib
Jet001 [13]

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 502, \sigma = 115

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

Z = \frac{590 - 502}{115}

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

Z = \frac{400 - 502}{115}

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

6 0
2 years ago
73km 47hm 2dam - 11km 55hm
zvonat [6]

<u>Answer</u>

6,122 hm


<u>Explanation</u>

You can carry out operations on the like terms only. So convert all units to one unit.

I will convert them to dam

1 km =100 dam

73 km = 73 × 100

          =7,300 dam

11 km = 11× 100

         1100 dam

1 hm = 10 dam

47 hm = 47 × 10

            = 470 dam

55 hm = 55× 10

           = 550 dam

73km 47hm 2dam - 11km 55hm = (7300+ 470+2) - (1100+550)

                                                    = 7,772 - 1,650

                                                    = 6,122 hm


8 0
3 years ago
I REALLY NEED HELP!
Snowcat [4.5K]

Answer:

B

Step-by-step explanation:

The compound interest formula is A = P (1+r/n)^nt where:

  • P is the starting amount called the principle
  • r is the rat written as a decimal
  • n is the number of times compounded in a year
  • t is the number of years

Substitute a value into each variable to solve.

  • P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
  • The rate is 3.5% or r = 0.035.
  • n = 12 because it is compounded monthly meaning 12 times a year.
  • t = 25 since it will earn for 25 years.

A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19

Repeat this process for each formula.

5 0
3 years ago
Convert 2 3/4 to a decimal number
Solnce55 [7]

Answer:2.75

Step-by-step explanation:

4 0
3 years ago
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A 12 1/4 inch board is cut from a 34 3/4 inch board. The saw cut takes 3/8 inch. How much of the 34 3/4 inch board is left after
inysia [295]

Answer:

22 1/8

Step-by-step explanation:

7 0
2 years ago
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