What is the area of the shaded sector of the circle?

The approximate number of bicycles in the United States in the year 2007 was 14,000,000. How can this number be expressed in sci

elena-s [515]

Answer:

$1.4*10^7$

Step-by-step explanation:

we have

$14,000,000$

Remember that

$14,000,000=1.4(10,000,000)$

and

$10,000,000=1*10^7=10^7$

substitute

$14,000,000=1.4*10^7$

8 0

2 years ago

Neeeedhelp asap !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

slavikrds [6]

Answer:

1. $0.24

2. 89.2 miles

Step-by-step explanation:

To get the unit price, divide the total price by the amount that was purchased.

1. 3.12/13 = $0.24

For the second one, get the distance traveled per hour first then multiply by 8.

22.3 / 2 = 11.15

11.15 x 8 = 89.2

6 0

2 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

I need help it’s hard

Reika [66]

9514 1404 393

Answer:

f^-1(x) = (x +4)/3

Step-by-step explanation:

The inverse function is found by swapping x and y, then solving for y.

y = 3x -4 . . . . . function y = f(x)

x = 3y -4 . . . . . inverse relation

x +4 = 3y . . . . add 4

(x +4)/3 = y . . . divide by 3. This is the inverse function

f^-1(x) = (x +4)/3

6 0

3 years ago

The figure shown is a kite. What is the x-coordinate of point P?

tresset_1 [31]

The answer to the above question can be determined as -

Let the point on the left side of P be Q, thus coordinates of Q are (a,1) and point on the right side of P be R, thus coordinates of R will be, (a+4, 1).

Now, it given that, between x coordinates of Q and R is 4, and it can be seen that they are getting divided into half.

So, the x coordinate of P will be - a + $\frac{4}{2}$ i.e. a + 2

<u>Thus, the x coordinate of P will be a +2.</u>

6 0

2 years ago

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