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Sergio039 [100]
3 years ago
6

Pam has taken 4 tests. She scored an 82, 94, 89 and 92. What would she need to score on her 5th test to have a mean of 90?

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Answer:

93

Step-by-step explanation:

5*90 = 450

82+94+89+92 = 357

so

450-357 = 93

hope this helped :)

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muminat

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11

Step-by-step explanation:

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What are the next four multiples of the fraction 7/12
Vladimir79 [104]
7/12 14/24 21/36 28/48 35/60
7 0
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The table below represents the equation: y = 1.5x – 2 If you completed this table, would each input have exactly one output? yes
stealth61 [152]

Answer:

Step-by-step explanation: y=1.5(3)-2

y=2.5

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2 years ago
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for what value of k, the line joining 3x-ky+7=0 is perpendicular to the line joining (4 ,3) and ( 5, -3).
Schach [20]

Answer:

  • k = 18

=========

<h2>Given</h2>

<h3>Line 1</h3>
  • 3x - ky + 7 = 0

<h3>Line 2</h3>
  • Passing through the points (4, 3) and (5, - 3)

<h2>To find</h2>

  • The value of k, if the lines are perpendicular

<h2>Solution</h2>

We know the perpendicular lines have opposite reciprocal slopes, that is the product of their slopes is - 1.

Find the slope of line 1 by converting the equation into slope-intercept from standard form:

<u><em>Info:</em></u>

  • <em>standard form is ⇒ ax + by + c = 0, </em>
  • <em>slope - intercept form is ⇒ y = mx + b, where m is the slope</em>

  • 3x - ky + 7 = 0
  • ky = 3x + 7
  • y = (3/k)x + 7/k

Its slope is 3/k.

Find the slope of line 2, using the slope formula:

  • m = (y₂ - y₁)/(x₂ - x₁) = (-3 - 3)/(5 - 4) = - 6/1 = - 6

We have both the slopes now. Find their product:

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So when k is 18, the lines are perpendicular.

4 0
1 year ago
The mean for a data set is 60. The Z-score for
Vladimir [108]

Answer:

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Step-by-step explanation:

Z-score:

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.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

7 0
2 years ago
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