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Whitepunk [10]
3 years ago
15

The table below shows the amount of money earned by two different workers over 5 consecutive days. Which equation best represent

s Fallon's earnings in terms of Donald's earnings? (How do you go from x to y?)
A. x = 7y
B. x = y + 7
C. y = x + 7
D. y = 7x

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Answer:C. y = x + 7

Step-by-step explanation:

everything on the left is 7 less then on the right

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Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10
Tanya [424]

Answer:

a) 0.7734

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

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 question, we have that:

\mu = 101, \sigma = 24

(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?

This is 1 subtracted by the pvalue of Z when X = 83. So

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

Z = \frac{83 - 101}{24}

Z = -0.75

Z = -0.75 has a pvalue of 0.2266

1 - 0.2266 = 0.7734

The answer is 0.7734

5 0
3 years ago
What is the value of the expression 462 + 11 when b = 5?
Andrei [34K]

Answer:

Step-by-step explanation:

  94.6

5 0
3 years ago
From 42 to 72 find each percent round to the nearest percent
neonofarm [45]
Change/original * 100
(72-42)/42  * 100
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6 0
3 years ago
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Prove that csc x - cot x is the same as (sin x)/(1 + cos x)
Lera25 [3.4K]
\csc x-\cot x=\dfrac{\sin x}{1+\cos x}\\\\L_s=\dfrac{1}{\sin x}-\dfrac{\cos x}{\sin x}=\dfrac{1-\cos x}{\sin x}\\\\R_s=\dfrac{\sin x}{1+\cos x}\cdot\dfrac{1-\cos x}{1-\cos x}=\dfrac{\sin x(1-\cos x)}{1^2-\cos^2x} =\dfrac{\sin x(1-\cos x)}{1-\cos^2x}\\\\=\dfrac{\sin x(1-\cos x)}{\sin^2x}=\dfrac{1-\cos x}{\sin x}\\\\L_s=R_s

\text{Used:}\\\\\csc x=\dfrac{1}{\sin x}\\\\\cot x=\dfrac{\cos x}{\sin x}\\\\a^2-b^2=(a-b)(a+b)\\\\\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x
8 0
3 years ago
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