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AleksandrR [38]

3 years ago

6

What is the average rate of change for this function for the interval fron x=2 to x=4

1 answer:

mezya [45]3 years ago

6 0

Subtract the two Y values of X = 2 and X = 4 to find the total difference, then divide by the difference between X=2 and X =4

When X = 2 Y = 9
When X = 4 Y = 64

Difference between the two Y values = 64 -9 = 55
Difference between the two X values = 4-2 = 2

The rate of change = difference in Y divided by difference in X:

55/2 = 27.5

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The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th

Ilia_Sergeevich [38]

Answer:

(0.0757;0.1403)

Step-by-step explanation:

1) Data given and notation

Republicans =115

Democrats=331

Independents=54

Total= n= 115+331+54=500

$\hat p_{ind}=\frac{54}{500}=0.108$

Confidence=0.98=98%

2) Formula to use

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the population proportion is given by this formula

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

We have the proportion of independents calculated

$\hat p_{ind}=\frac{54}{500}=0.108$

We can calculate $\alpha=1-conf=1-0.98=0.02$

And we can find $\alpha/2 =0.02/2=0.01$ , with this value we can find the critical value $z_{\alpha/2}$ using the normal distribution table, excel or a calculator.

On this case $z_{\alpha/2}=2.326$

3) Calculating the interval

And now we can calculate the interval:

$0.108 - 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.0757$

$0.108 + 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.1403$

So the 98% confidence interval for this case would be:

(0.0757;0.1403)

7 0

2 years ago

Question 7: 10 pts

levacccp [35]

The teacher ordered the students in 24 ways.

We have given that the total number of students is 4.

4 students are assigned to give presentations.

We have to find the arrangement of the 4 students.

<h3>What is the arrangement?</h3>

An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)

In a permutation, the order that we arrange the objects n is important.

4 students can be arranged by 4! ways.

$4!=4*3*2*1\\ =12*2\\=24$

Therefore option 3 is correct.

The teacher ordered the students in 24 ways.

To learn more about the permutation visit:

brainly.com/question/12468032

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3 0

1 year ago

Pls help with this question please

Marina86 [1]

Answer:

$x=8$

Step-by-step explanation:

<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u>:</u><u>-</u></h3>

$RS=28$

$RT=3x+4$

<h3><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u><u>:</u><u>-</u></h3>

<u>Solve</u><u> </u><u>for</u><u> </u><u>x</u><u>.</u>

<h3><u>According</u><u> </u><u>to</u><u> </u><u>question</u><u>:</u><u>-</u></h3>

<h3> $=>RS = RT$ </h3>

[Tangent of same circle are equal]

$=>3x+4=28$

$=>3x=28-4$

$=>3x=24$

$=>x=\frac{24}{3}$

<h3> $=>x=8$ </h3>

<h3><u>The</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u></h3>

5 0

3 years ago

a circle is centered at the point (5,-4) and passes through the point (-3,2) what is the equation of this circle

jeka57 [31]

Do you still need help on this?

3 0

3 years ago

Line p has slope of 7/3 line q is pararellel to line p. What is the slope of line q?

ICE Princess25 [194]

The Slope of the line q is 7/3

Given that a line “p” has a slope $\frac{7}{3}$ , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”

Parallel lines:

Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.

The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”

The slope of line “p”=slope of line “q”

Given that the slope of line “P”= $\frac{7}{3}$

therefore, The slope of the line q is $\frac{7}{3}$

Learn more about slope here:

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8 0

1 year ago