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4 years ago

What is the maximum value for the function on the interval [-2,3]?

Mathematics

2 answers:

andreev551 [17]4 years ago

7 0

I think its number 2

Serhud [2]4 years ago

6 0

Between -2 and 3, the highest y-value is 2.

So, 2 is the maximum for the given function.

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The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy

r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7531

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0

3 years ago

Help! Need by 10:30 to turn in and I'm confused!

Alecsey [184]

Answer:

8 boxes of tissues

5 bags of cough drops

Step-by-step explanation:

You need to write a system of equations.

x = number of tissue boxes

y = number of cough drop bags

x (number of tissue boxes) + y (number of cough drop bags) = 13 (total number of tissues and cough drops combined.

So, your first equation is

x + y = 13

Then, you need to write the second equation.

(1.69 [cost of 1 tissue box] * [number of tissue boxes]) + (1.19 [cost of one bag of cough drops] * [number of cough drop bags] = 19.47 [total cost of tissues and cough drops]

That's a lot to read, so here's the equation simplified!

1.69x + 1.19y = 19.47

Now, you have two equations:

x + y = 13

1.69x + 1.19y = 19.47

I would solve with the substitution method.

the first equation can be changed to x = 13 - y by subtracting y from both sides.

Then, your two equations are:

x = 13 - y

1.69x + 1.19y = 19.47

Now, you can plug in that value of x into the second equation!

1.69(13 - y) + 1.19y = 19.47

21.97 - 1.69y + 1.19y = 19.47

subtract 21.97 from both sides

-1.69y + 1.19y = -2.5

Add the y values

-0.5y = -2.5

divide both sides by -0.5

so, y equals 5 bags of cough drops

now that you know what y equals, plug it back into your original equation to find x!

x + y = 13

plug in y

x + 5 = 13

x = 8

so, x = 8 boxes of tissues

Hope this helps! Let me know if you have any questions!

8 0

3 years ago

2(3x+2)=2x-1+x solve

alina1380 [7]

First multiply and dstribute
a(b+c)=ab+ac
2(3x+2)=6x+4
6x+4=2x-1+x
add like terms
6x+4=3x-1
subtract 3x from both sides
3x+4=-1
subtract 4 from both sides
3x=-5
divide bothe sides by 3
x=-5/3

7 0

3 years ago

The school cafeteria sells 300 half-pints Of milk everyday. How many gallons of milk is that?

Natali [406]

37.5 gallons of milk, you welcome.

7 0

3 years ago

HELPPPP PLEASE To make an international telephone call, you need the code for the country you are calling. The codes for countr

Zanzabum

Answer:

25, 26, 27

Step-by-step explanation:

78/3=26, so one number is 26 and the other numbers have to equal 52, so the numbers have to either be 24,25,27,28. 25+27=52,

7 0

3 years ago