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Basile [38]
3 years ago
5

1. (3x2 + 4x - 12) = (x + 5) Divide using synthetic division

Mathematics
1 answer:
Kitty [74]3 years ago
4 0
If you are solving for x then here’s how:

(3x2 + 4x - 12) = (x + 5)
Remove the x on the left by remove one x from both of the sides.
(3x2 + 3x - 12) = 5
Add 12 onto both sides
(3x2 + 3x) = 17
Multiply
(6 + 3x) = 17
Take away 6 from both sides
3x = 11
Divide by 3 on both sides
x = 3.666 recurring
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A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round
Neko [114]

Answer:

The z-score for a data value of 121 is -2.29.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 137, \sigma = 7

Find the z-score for a data value of 121.

This is Z when X = 121. So

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

Z = \frac{121 - 137}{7}

Z = -2.29

The z-score for a data value of 121 is -2.29.

4 0
3 years ago
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Which expression is equivalent to -7(y - 2)
Neko [114]

The expression equivalent to -7(y - 2) is -7y + 14

<h3>Which expression is equivalent to -7(y - 2)?</h3>

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

Learn more about expressions here: brainly.com/question/13947055

#SPJ1

5 0
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Farmer Green sent his two children out to count the hens and sheep. His daughter counted 40 hens, and his son counted 100 legs.
xz_007 [3.2K]

Answer:

40 hens, 5 sheep

Step-by-step explanation:

40 x 2 = 80 (hens have 2 legs)

100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs

20/4 = 5 so there are 5 sheep

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3 years ago
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An athletic director pays $90 for 12 sun visors for the softball team. The rate per sun visor is equal to $90 / 12 sun visor = $ 7.5 per sun visor. So the athletic director should pay ($ 7.5 per sun visor)*(15 sun visor) = $ 112.5

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You go to a restaurant and order a $25 worth of food you leave a 20% tip how much total do you leave including tip
s2008m [1.1K]
You leave a total of $30
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