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3 years ago

Please help photo attached

Mathematics

1 answer:

Kruka [31]3 years ago

6 0

Answer:

see below

Step-by-step explanation:

You can determine the correct function by looking at the function and graph values at x = 1.

For some constant k, the function is ...

(g·h)(x) = g(x)·h(x) = (-3^x)(kx) = -kx·3^x

For x=1, the graph shows (g·h)(1) = 6. Using this in our expression for (g·h)(x), we have ...

(g·h)(1) = 6

-k(1)(3^1) = 6 . . . . use the expression for (g·h), filling in x=1

k = -2 . . . . . . . . . divide by -3

The function h(x) is ...

h(x) = -2x

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Step-by-step explanation:

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2 years ago

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3 years ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

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

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

3 years ago

The price of a gallon of unleaded gas has risen to $2.85 today.Yesterday's price was $2.79 Find the percentage increase. Round y

kirill [66]

Answer:

Step-by-step explanation:

Percent decrease =

(difference in prices)/(original price) × 100

(2.89 - 2.82)/2.89 × 100

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3 years ago

Please help me with this question

kiruha [24]

Answer:

First Row: Given

Second Row: Definition of Regular Polygon

Third Row: Definition of Congruence In Terms of Rigid Motion

Fourth Row: Definition of Regular Polygon

Fifth Row: SAS Triangle Congruence Theorem

Sixth Row: CPCTC

Step-by-step explanation:

This is a basic proof in order to prove that verticals of a polygon are congruent. This should be the right answer since it's the only thing that makes sense to me. I really hope this helps you and thanks for being patient! I've been doing geometry and we have to prove everything we claim in a proof just like this one. However, there was one I kind of guessed on (the third row), but I think it should be correct! I saw from the photo that you have a check answer on the bottom of your screen. Just check the answers that I have for you now and if something is wrong, then we can continue talking about it! Hope this helps!! :)

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3 years ago