What is the probability that the code number for a new customer will begin with a 7

Find the circumference of a a circle with an area of 530.93 square meters

Mamont248 [21]

The circumference is 26 $\pi$

To find this we must start by finding the radius of the circle. You can find this using the formula for area adjusted to find the radius.

r = $\sqrt{ \frac{A}{ \pi }}$

Then when we plug the area in for A, we get the radius to be 13.

We can then use that number in the circumference formula which is below.

C = 2 $\pi$ r

Using that we can find the circumference to be 26 $\pi$

3 0

3 years ago

10. Write a polynomial in factored form with a single root at 0 and a double

ASHA 777 [7]

Answer:

One possible polynomial is given by: $f(x) = -x(x-3)^2$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

$f(x) = a(x - 0)(x - 3)(x - 3) = ax(x-3)^2$

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

$f(x) = -x(x-3)^2$

7 0

3 years ago

Help…please! <br><br><br><br> 14 points……

bonufazy [111]

Answer:

I think it’s 17 mph

Step-by-step explanation:

5 0

3 years ago

Write the expanded form of the expression y(0.5+7) please help me thanks!!!

Anna71 [15]

Answer: y(0.5+7)

= 0.5y+7y

7.5y

Step-by-step explanation:

8 0

3 years ago

Community college students conduct a survey at their college. They ask "Do you plan to transfer to a university to pursue a bacc

Tamiku [17]

Answer:

$0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697$

$0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903$

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

Step-by-step explanation:

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".

Solution to the problem

For this case the conditions we have the conditions to assume a normal distribution for the population proportion since:

np=100*0.8=80 >10 , n(1-p) = 10*(1-0.8) =20 >10

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: