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4 years ago

Let f(x)=-2x-7 and g(x)=-4x+6 find (g o f )(-5)

1 answer:

3 0

Easy

(g o f)(-5)=g(f(-5))

first evaluate f(-5), then input the result into g(x)

f(-5)=-2(-5)-7
f(-5)=10-7
f(-5)=3

g(3)=-4(3)+6
g(3)=-12+6
g(3)=-6

(g o f)(-5)=-6

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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1491 and the standard deviati

Alinara [238K]

Answer:

$z(1910)=1.3429\\\\z(1230)=-0.9006\\\\z(2190)=2.2404\\\\z(1380)=-0.3558$

Step-by-step explanation:

-Given the population mean is $\mu=1491$ and the standard deviation is $\sigma=312$ , we calculate the z-scores using the formula:

$z=\frac{\bar x-\mu}{\sigma}$

#The z-score for 1910 can be calculated as:

$z(1910)=\frac{x-\mu}{\sigma}\\\\=\frac{1910-1491}{312}\\\\=\frac{419}{312}\\\\=1.3429$

#The z-score for 1230can be calculated as:

$z(1230)=\frac{x-\mu}{\sigma}\\\\=\frac{1230-1491}{312}\\\\=\frac{-281}{312}\\\\=-0.9006$

#The z-score for 2190 is calculated as follows:

$z(2190)=\frac{x-\mu}{\sigma}\\\\=\frac{2190-1491}{312}\\\\=\frac{699}{312}\\\\=2.2404$

#The z-score for 1380 is calculated as:

$z(1380)=\frac{x-\mu}{\sigma}\\\\=\frac{1380-1491}{312}\\\\=\frac{-111}{312}\\\\=-0.3558$

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3 years ago

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Kruka [31]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing

madam [21]

Answer:

12/15

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3 years ago

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OlgaM077 [116]

Answer:

Option 3

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3 years ago

Read 2 more answers