If G is the incenter of angle abc, find each measure

The mean amount purchased by a typical customer at Churchill's Grocery Store is $23.50 with a standard deviation of $5.00. Assum

DochEvi [55]

Answer:

a. $\mathtt{P(X \geq 25) =0.0170}$ ( to four decimal places)

b. $P(22.5$ ( to four decimal places )

c. The limits will be between the interval of ( 22.33,24.67 )

Step-by-step explanation:

Given that :

mean = 23.50

standard deviation = 5.00

sample size = 50

The objective is to calculate the following:

(a) What is the likelihood the sample mean is at least $25.00?

Let X be the random variable, the probability that the sample mean is at least 25.00 is:

$P(X \geq 25) = 1 - P(\dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{25- 23.50}{ \dfrac{5}{\sqrt{ 50}} })$

$P(X \geq 25) = 1 - P(Z< \dfrac{1.5}{ \dfrac{5}{7.07107}} })$

$P(X \geq 25) = 1 - P(Z< \dfrac{1.5 \times 7.071}{ {5}})$

$P(X \geq 25) = 1 - P(Z< 2.1213)$

$P(X \geq 25) = 1 - P(Z< 2.12)$ to two decimal places

From the normal tables :

$P(X \geq 25) = 1 - 0.9830$

$\mathtt{P(X \geq 25) =0.0170}$ ( to four decimal places)

(b) What is the likelihood the sample mean is greater than $22.50 but less than $25.00?

$P(22.5$

$P(22.5$ to four decimal places

(c) Within what limits will 90 percent of the sample means occur?

At 90 % confidence interval, level of significance = 1 - 0.90 = 0.10

The critical value for the $z_{\alpha/2} = 0.05$ = 1.65

Standard Error = $\dfrac{\sigma}{\sqrt{n}}$

Standard Error = $\dfrac{5}{\sqrt{50}}$

Standard Error = 0.7071

Therefore, at 90 percent of the sample means, the limits will be between the intervals of : $(\mu \pm z_{\alpha/2} \times S.E)$

Lower limit = ( 23.5 - (1.65×0.707) )

Lower limit = ( 23.5 - 1.16655 )

Lower limit = 22.33345

Lower limit = 22.33 (to two decimal places).

Upper Limit = ( 23.5 + (1.65*0.707) )

Upper Limit = ( 23.5 + 1.16655 )

Upper Limit = 24.66655

Upper Limit = 24.67

The limits will be between the interval of ( 22.33,24.67 )

6 0

3 years ago

Consider the following regular decagon. Choose the correct card to fill in the blanks below. 30° 36° 60 72° 5 10 15 20 of Rotati

pochemuha

The decagon can be divided in 10 equal parts, so if a full rotation is of 360º, a one tenth rotations will be of 360º/10= 36º

So if you rotate the decagon by a multiple of 36º the rotation will be onto itself, i.e. the figure will look as if it wasn't moved.

From the choices given, the angle that will rotate the angle counterclockwise onto himself will be multiple of 36º, the only one is 72º

This figure has 5 lines of symmetry that cross each vertex and 5 lines of symmetry that cross form the midpoint of one side to the midpoint of the oposite side. This is a total of 10 lines of symetry.

So you can reflect the decagon 10 different ways.

The correct choice is C: 36º, 72º, 10, 5

3 0

1 year ago

PLS HELP <br>find the unknown side of the triangle below (round to the nearest tenth) <br>

Nonamiya [84]

22.9 is the closest but not exact. It was probably rounded off.

I used the formula: leg^2+leg^2=hypotenuse^2

(You can use that formula for any right triangle.)

7 0

3 years ago

The next week, she bought 9 sandwiches to split between 4 teachers. What fraction of a sandwich will

antiseptic1488 [7]

Answer: The teachers will get 2 and 1/4 of a sandwich

Step-by-step explanation:

8 0

3 years ago

Which type of annuity typically utilizes mutual funds

Vlada [557]

Answer:
variable annuity typically provides mutual funds

Explanation:
1- Annuity is commonly used financial product among the retirees to get regular income.
2- Annuity usually pays a fixed amount each month
3- variable annuity is different because the amount of funds paid each month varies depending on how the investment performs each month.

Hope this helps :)

4 0

3 years ago