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3 years ago

If f(x)=2^x-1 and g(x)= x^2-1, determine the value of (f o g)(3)

Mathematics

1 answer:

zimovet [89]3 years ago

3 0

Answer: 4

Step-by-step explanation:

( f o g ) (3) means f(g(3)) so...

First: plug 3 into g(x) = x^ (2-1)

3^ (2-1) is 3^1 = 3

Next: plug 3 into f(x)= 2^(x-1)

2^(3-1) is 2^(2) > 2×2 = 4

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Name the marked angle in 2 different ways.

dimaraw [331]

1) angle UWV

2) angle VWU

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3 years ago

A medical researcher needs 6 people to test

nadezda [96]

$\boldsymbol{\mathbf{Answer}}$

$\boldsymbol{\mathbf{1235520\,different\, ways\,can\,six\, people\,be\, selected}}$

$\boldsymbol{\mathbf{Step-by-step explanation}}$

A medical researcher need to select 6 people out of 13 people who have volunteered for the test in

To find, how many ways can 6 people be selected.

= ${13}\times{12}\times{11}\times{10}\times{9}\times{8}$

$\boldsymbol{\mathbf{= 604800 ways}}$

$\boldsymbol{\mathbf{1235520\,different\, ways\,can\,six\, people\,be\, selected}}$

4 0

3 years ago

If x2 = 30, what is the value of x?

nataly862011 [7]

Subtract 30, then factor the equation.

... x² = 30

... x² - 30 = 0

... (x -√30)(x +√30) = 0

By the zero product rule, the solutions are values of x that make a factor be zero.

... x - √30 = 0 . . . . the first factor is zero

... x = √30

... x + √30 = 0 . . . . the second factor is zero

... x = -√30

The solutions are . . .

... x = ±√30 . . . . . matches your 3rd choice

6 0

3 years ago

Read 2 more answers

What is the difference between a day and a line segment

zepelin [54]

Hello!

I do believe you meant to say:

"What is the difference between a ray and a line segment?"

The difference between a ray and a line segment is:

A ray has one endpoint and continues in one direction. a ray is infinite

A line segment has two endpoints. a line segment is finite

I hope this helps, and have a nice day!

5 0

3 years ago

The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

natita [175]

Answer:

68% of jazz CDs play between 45 and 59 minutes.

Step-by-step explanation:

The correct question is: The playing time X of jazz CDs has the normal distribution with mean 52 and standard deviation 7; N(52, 7).

According to the 68-95-99.7 rule, what percentage of jazz CDs play between 45 and 59 minutes?

Let X = playing time of jazz CDs

SO, X ~ Normal( $\mu=52, \sigma^{2} =7$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, according to the 68-95-99.7 rule, it is stated that;

68% of the data values lie within one standard deviation points from the mean.

95% of the data values lie within two standard deviation points from the mean.

99.7% of the data values lie within three standard deviation points from the mean.

Here, we have to find the percentage of jazz CDs play between 45 and 59 minutes;

For 45 minutes, z-score is = $\frac{45-52}{7}$ = -1

For 59 minutes, z-score is = $\frac{59-52}{7}$ = 1

This means that our data values lie within 1 standard deviation points, so it is stated that 68% of jazz CDs play between 45 and 59 minutes.

6 0

3 years ago