I need help on finding the measure of each angle on a rectangle

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2? The graph mov

alexandr402 [8]

Answer:

Third option: The graph moves left 18 units.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is shifted up "k" units.

If $f(x)-k$ , the function is shifted down "k" units.

If $f(x+k)$ , the function is shifted left "k" units.

If $f(x-k)$ , the function is shifted right "k" units.

In this case, we can observe that graph of $y = (x - 9)^2$ is changed to $y = (x + 9)^2$

Since:

$-9+18=9$

We can conclude that the function $y = (x - 9)^2$ is shifted left 18 units to get the function $y = (x + 9)^2$ .

3 0

3 years ago

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The heights of a certain population of corn plants follow a normal distribution with mean 145 cm and stan- dard deviation 22 cm

Firdavs [7]

Answer with explanation:

Given : The heights of a certain population of corn plants follow a normal distribution with mean $\mu=145\ cm$ and standard deviation $\sigma=22\ cm$

a) Using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponds to x= 135 will be

$z=\dfrac{135-145}{22}\approx-0.45$

At x= 155, $z=\dfrac{155-145}{22}\approx0.45$

The probability that plants are between 135 and 155 cm tall :-

$P(-0.45$

Hence, 34.73% of the plants are between 135 and 155 cm tall.

b) Sample size : n= 16

Using formula $z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$ , the z-value corresponds to x= 135 will be

$z=\dfrac{135-145}{22}{\sqrt{16}}\approx-1.82$

At x= 155, $z=\dfrac{155-145}{22}{\sqrt{16}}\approx1.82$

The probability that plants are between 135 and 155 cm tall :-

$P(-1.82$

Hence,The percentage of the samples would the sample mean height be between 135 and 155 cm.= 93.12%

4 0

4 years ago

Select the correct answer.

Nuetrik [128]

The answer that would best tell the combination of shapes that could make a piano are: 3 cylinders and a rectangular prism

<h3>How to find the shape of a piano</h3>

The shape of a piano can be gotten from the way that the piano is built. A piano is known to have a shape that is like a chord, it also has the parts that is built like a rectangular prism.

In order to get the volume of the object, the different shapes that it has would be calculated individually using their formula.

Read more on volume

brainly.com/question/1972490

#spj1

3 0

2 years ago

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The weather forecast for the day shows a 45% chance of

SOVA2 [1]

Answer:

C

Step-by-step explanation:

If two events are independent, the probability of both happening are:

P(A and B) = P(A) × P(B)

In this case, if rain and lightening were independent:

P(rain and lightening) = P(rain) × P(lightening)

P(rain and lightening) = 0.45 × 0.45

P(rain and lightening) = 0.2025

However, we're told that P(rain and lightening) is 0.25, not 0.2025.

Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.

4 0

3 years ago

A sample of 80 high school seniors,45% were are female were surveyed as to wheather or not they are employed outside of school ,

Nataliya [291]

The first thing we must do for this case is find the number of boys surveyed.
We have then:
(1-0.45) * (80) = 44
We are now looking for the number of boys employed.
We have then:
(1-0.25) * (44) = 33
Answer:
there are 33 boys employed.

4 0

4 years ago