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3 years ago

Use the graph shown to determine the TRUE statements.

Mathematics

1 answer:

Oliga [24]3 years ago

3 0

Answer:

The x-intercept tells the number of fish in the tank before any are sold.

Coordinates (20, 80) tell how many fish must be sold to have 80 fish remaining in the tank.

Step-by-step explanation:

You should know here that, the graph models a decreasing function. Also, the average rate of the change of the function, and which is the slope is -1 as it has a negative slope. And hence the correct option for this question are not these two. The correct options are the ones mentioned above. As the x-intercept tells the number of fish in the tank before any of them are sold. And the coordinates (20, 80) tells the number of fish that must be sold for having the 80 fish remaining in the tank.

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The equation is 2(4x-11)=10 and how do you divide each side of the equation by 2.

Ierofanga [76]

Answer:

4x-11=5

Step-by-step explanation:

If u were to divide each side of the equation by 2, the 2 on the left which is supposed to distribute into the parenthesis would disappear, and the 10 on the right side would turn into 5.

What is left is this,

4x-11=5

7 0

3 years ago

I need to finish this usa test prep now plz help

Slav-nsk [51]

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

8 0

3 years ago

The question is: "Without actually graphing, describe how the graph of y = ( -2^(x+17) ) - 4.3 is related to the graph of y = 2^

Leokris [45]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative flips the graph.

The graph of $(-2^{x+17}) -4.3$ compares to $2^x$ in the following ways:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

4 0

3 years ago

Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of gasoline sold to his custom

ira [324]

Answer:

a) The best estimator for the population mean is given by the sample mean $\hat \mu = \bar X = 5.70$

b) The 99% confidence interval would be given by (4.969;6.431)

c) We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.9$ represent the population standard deviation

n=45 represent the sample size

2) Part a

The best estimator for the population mean is given by the sample mean $\hat \mu = \bar X = 5.70$

3) Part b. Develop a 99 percent confidence interval for the population mean.

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$5.7-2.58\frac{1.9}{\sqrt{45}}=4.969$

$5.7+2.58\frac{1.9}{\sqrt{45}}=6.431$

So on this case the 99% confidence interval would be given by (4.969;6.431)

4) Part c. Interpret the meaning of part (b).

On this case we can say this: We are 99% confident that the true mean for th number of gallons of gasoline sold to his customers is between 4.969 and 6.431.

4 0

3 years ago

Kareem is putting 8 books in a row on his bookshelf. He will put one of the books, Pride and Prejudice, in the first spot. He wi

loris [4]

Answer:

6 different ways? because theres only 6 books left to put on the shelf

6 0

2 years ago