Find the length of each arc, Round your answas to the nearest tenth. Use 3.14 for
pi. Show your work.

Answer:

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 7.2 minutes and a standard deviation of 2.1 minutes.

This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]

For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.

This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.

X = 9

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{9 - 7.2}{2.1}[/tex]

[tex]Z = 0.86[/tex]

[tex]Z = 0.86[/tex] has a pvalue of 0.8051

X = 3

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 7.2}{2.1}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.8051 - 0.0228 = 0.7823

0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.

Answer:

Equation: [tex]143 + g = 180[/tex]

[tex]g =37[/tex]

Step-by-step explanation:

Given

The attached figure

Required

The equation to find g and the solution

From the attached: Angles ACD, DCE and ECB lie on a straight line.

Where

[tex]ACD = 90[/tex]       [tex]DCE = 53[/tex]     [tex]ECB = g[/tex]

This means that:

[tex]ACD + DCE + ECB = 180[/tex]

[tex]90 + 53 + g = 180[/tex]

[tex]143 + g = 180[/tex]

Subtract 143 from both sides

[tex]-143 + 143 + g = 180 - 143[/tex]

[tex]g = 37[/tex]

Answer:

65 minutes

Step-by-step explanation:

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

Answer:

[tex]\$633158000[/tex]

Step-by-step explanation:

[tex]1\ \text{ton of raw material}=1\ \text{ounce of gold}[/tex]

1 truck hauls 394 ton of raw material

[tex]1\ \text{truck}=394\ \text{ton of raw material}=394\ \text{ounce of gold}[/tex]

There are 1000 trucks so

[tex]1000\ \text{trucks}=394\times 1000=394000\ \text{ounce of gold}[/tex]

1 ounce of gold cost $1607

[tex]394000\ \text{ounce of gold}=394000\times 1607=\$633158000[/tex]

The amount of money made each day at Cortez Gold Mine is [tex]\$633158000[/tex].

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

[tex]V = 288[/tex] --- Volume

[tex]C_1 = 0.06[/tex] --- cost of wall paint

[tex]C_2 = 0.16[/tex] ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

[tex]V =xyz[/tex]

Substitute 288 for V

[tex]288 =xyz[/tex]

Make z the subject

[tex]z = \frac{288}{xy}[/tex]

The surface area is calculated as:

[tex]Area = 2(yz + xz) + xy[/tex]

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

[tex]C = 0.06 * 2(yz + xz) + 0.16 * xy[/tex]

Substitute [tex]z = \frac{288}{xy}[/tex]

[tex]C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy[/tex]

[tex]C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy[/tex]

[tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

Differentiate w.r.t x and y

[tex]C_x = -\frac{34.56}{x^2} + 0.16y[/tex]

[tex]C_y = -\frac{34.56}{y^2} + 0.16x[/tex]

By comparison: [tex]x = y[/tex]

Set them equal to 0

[tex]C_y = -\frac{34.56}{y^2} + 0.16x=0[/tex]

[tex]-\frac{34.56}{y^2} + 0.16x=0\\[/tex]

Substitute x for y

[tex]-\frac{34.56}{x^2} + 0.16x=0[/tex]

[tex]0.16x=\frac{34.56}{x^2}[/tex]

Cross multiply

[tex]0.16x^3 = 34.56[/tex]

[tex]x^3 = \frac{34.56}{0.16}[/tex]

[tex]x^3 = 216[/tex]

Take the cube root of both sides

[tex]x = \sqrt[3]{216}[/tex]

[tex]x = 6[/tex]

[tex]x=y= 6[/tex]

Substitute 6 for x and for y in [tex]C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy[/tex]

[tex]C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6[/tex]

[tex]C = (\frac{2*34.56}{6}) + 5.76[/tex]

[tex]C = 11.52 + 5.76[/tex]

[tex]C = 17.28[/tex]

[tex]C = 17.3[/tex] --- approximated

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Step-by-step explanation:

Personally I think the answer is 2:7

I might be wrong but that is my opinion

C is the answer i just did this answer and get it correct

Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

Answer:

82 m should be correct i hope

Step-by-step explanation:

Answer:

The answer is b. 0.029

Step-by-step explanation:

Margin error for a sample size of 1200 is 2.9%.

The Margin error formula can be represented as:

[tex]z \times \: \sqrt{ \frac{p0(1 - po)}{n} } [/tex]

Where

z = critical value

n = sample size

[tex]p0 = sample \: proportion[/tex]

Answer:

2.) 46.9        3.) 25.6

Step-by-step explanation:

Answer:

2. 46.857

3. 25.571

Step-by-step explanation:

Add all the numbers together and then divide by the number of numbers you added.

12+67+34+10+78+78+49=328

328/7=46.857

10+10+13+13+45+21+67=179

179/7=25.571

Answer:

y = 5      

Step-by-step explanation:

Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.

We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.

Answer:

The middle of a line segment

Step-by-step explanation:

Answer:(9,2)

Step-by-step explanation:

Answer: 0.875

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

Answer:

I cant see the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

k= 16

Step-by-step explanation:

89-9=80

80/5=16

16=k

Answer:

5k+9=89

5k=89-9

5k=80

k=16

Answer:

C

Step-by-step explanation:

Area = (8 + 14) x 1/2 x 9

Area = 22 x 1/2 x 9

Area = 11 x 9

Area = 99

Hope that helps!

-Sabrina

Answer:

6

Step-by-step explanation:

a) a total of 677 were not satisfied. Of these 494 made a purchase  494/677

b) a total of 624 made a purchase. Of these 494 were not satisfied 494/624

Answer:

What is the slope of a line perpendicular to the line whose equation is 2x+y=3?

Step-by-step explanation:

-1/2

Step-by-step explanation:

perpendicular slopes are the opposite reciprical

so you basically flip it and change the sign

I hope this helps :)

Answer:B

Step-by-step explanation: