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3 years ago

What is the amplitude of the graph whose equation is y=-4 sin 2x

Mathematics

1 answer:

oee [108]3 years ago

7 0

Answer:

Step-by-step explanation:

amplitude of y=a sin x

amplitude=a

Here y=-4sin 2x

amplitude=-4

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Andres found out that his experimental probability of getting a hit is 40%. Out of 350 at bats, about how many hits could he pre

Firlakuza [10]

Answer:

140?

Step-by-step explanation:

40 percent of 350 is 140 so I assume its 140.

6 0

3 years ago

What quadratic function does the graph represent?

nekit [7.7K]

Answer:

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

$f(x)=a(x-h)^2+k$ , where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

$f(x)=a(x-2)^2+4$ ,

The point (5,1) lies on the graph so we use it to determine the value of a.

$1=a(5-2)^2+4$ ,

$1-4=a(3)^2$ ,

$-3=9a$ ,

$a=-\frac{1}{3}$

The required equation is

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

5 0

3 years ago

Find the area of the figure shown below. 10 cm 5 cm 17 cm

stira [4]

Answer:

where is the figure?

Step-by-step explanation:

I can't see a figure

8 0

3 years ago

Read 2 more answers

Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.7 grams an

Alexxx [7]

Answer:

a. s.e. = 0.338

b. The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 0.5871 or 58.71%

c. The probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams is 0.0694 or 6.94%

d. The sample mean of 62.75 would represent the 15th percentile

Step-by-step explanation:

1. Let's review the information provided to us to answer the question properly:

μ of the mass of slices of pizza for a certain brand = 67.7 grams

σ of the mass of slices of pizza for a certain brand = 2.28 grams

2. For samples of size 20 pizza slices, what is the standard deviation for the sampling distribution of the sample mean?

Let's recall that the standard deviation of the sampling distribution of the mean is called the standard error of the mean and its formula is:

μσs.e.= √σ/n, where n is the sample size.

s.e. = √2.28/20

s.e. = 0.338

3. What is the probability of finding a random slice of pizza with a mass of less than 67.2 grams?

Let's find the z-score for X = 67.2, this way:

z-score = (X - μ)/σ

z-score = (67.2 - 67.7)/2.28

z-score = 0.5/2.28

z-score = 0.22 (rounding to the next hundredth)

Now, using the z-table, let's find p, the probability:

p (z = 0.22) = 0.5871

The probability of finding a random slice of pizza with a mass of less than 67.2 grams is 58.71%

4. What is the probability of finding a 20 random slices of pizza with a mean mass of less than 67.2 grams?

Let's use the central limit theorem to find the z-score, this way:

z-score = X - μ/s.e

z-score = 67.2 - 67.7/0.338

z-score = -0.5/0.338

z-score = - 1.48

Now, using the z-table, let's find p, the probability:

p (z = -1.48) = 0.0694

5. What sample mean (for a sample of size 20) would represent the bottom 15% (the 15th percentile)?

For p = 0.150, let's find the z-score:

z-score = - 2.17

z-score = X - μ/s.e

- 2.17 = (X - 67.7)/2.28

- 4.95 = X - 67.7

X = 67.7 - 4.95

X = 62.75 (rounding to the next hundredth)

The sample mean of 62.75 would represent the 15th percentile

7 0

3 years ago

I give brainlilest

timurjin [86]

Answer:

7 days or 2 days (depending on context)

Step-by-step explanation:

15 liters a day ÷ 5 days= 3 liters a day

21÷3=7

if she just wanted to make 6 more to make 21, then it would take 2 days.

6 0

3 years ago