A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel chains. There were 103 responses. The average time these 103 general managers had spent with their current company was 11.7 years. Give a 99% confidence interval for the mean number of years general managers of major-chain hotels have spent with their current company. (Take it as known that the standard deviation of time with the company for all general managers is 3.6 years.)

9514 1404 393

Answer:

  A)  JM = 30

  B)  x = 11

  C)  x = 18

Step-by-step explanation:

A) Chords the same distance from the circle center have the same length.

  KL = 2×15 = 30 = JM

__

B) Tangents from the same point have the same length.

  2x -14 = x -3

  x = 11 . . . . . . . . . add 14-x to both sides

__

C) No x is shown. We presume it is the length of the tangent segment. The product of lengths to the near and far circle intercepts is the same for both secants. A tangent is a degenerate secant having both intercepts at the same point.

  x² = 12(12 +15) = 324

  x = √324

  x = 18

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

sorry if this is worng

Step-by-step explanation:

the answer would be 26 and 10 because is you multiply 26×10 your answer will be 2600

Answer:

52 and 50

Step-by-step explanation:

Break it down into smaller numbers in this case 3 numbers.

26 * 10 * 10 = 2600

By multiplicative rule,

we can break 10 into 5 * 2,

giving 26 * 10 * 5 *2,

because multiplication is commutative and associative

group them up as (26 * 2) * (10 * 5) = ( 52 * 50) = 2600

9514 1404 393

Answer:

  (x -2)² +(y -2)² = 16

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Your circle has center (h, k) = (2, 2) and radius r=4. Then r² = 16, so the equation is ...

  (x -2)² +(y -2)² = 16

Answer:

(4x-15)=77...corresponding angles

4x =77+15

4x =92

x =23

y =180-77

=103

Answer:

$1200

Step-by-step explanation:

Answer:

Circumference of circle = 31.42 ft.

Step-by-step explanation:

Given the following data;

Area of circle = 25π ft²

To find the circumference of the circle;

First of all, we would determine the value of its radius;

Area of circle =πr²

25π = πr²

r² = 25

Taking the square root of both sides, we have;

r = 5 ft.

Now, to find its circumference;

Circumference of circle = 2πr

Circumference of circle = 2π*5

Circumference of circle = 10π ft.

π = 3.142

10π = 10 * 3.142 = 31.42

Circumference of circle = 31.42 ft.

Answer: He can buy 5 restaurant gift cards and 7 movie gift cards

Step-by-step explanation:

Answer:

Percentage Calculator: What is the percentage increase/decrease from 50000 to 80000? = 60

Step-by-step explanation:

700 is the answer to your problem

Answer:

This is your answer

Answer:

6h + 37

Step-by-step explanation:

=> 6(h + 6) + 1

=> 6h + 36 + 1

=> 6h + 37...ans

Answer:

20.13

Step-by-step explanation:

Four friends all give each other presents.  The total cost of the presents is £80.52.

We need to find the mean cost of a present in pounds.

Mean = sum of observations/total no of observation

[tex]M=\dfrac{80.52}{4}\\\\=20.13[/tex]

So, the mean cost of a present is equal to 20.13 .

Answer: 5.22

Step-by-step explanation:

Given

[tex]\angle A=103^{\circ}[/tex]

Sine law is    [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\\[/tex]

Here, a=8, c=5

Putting values

[tex]\Rightarrow \dfrac{8}{\sin 103}=\dfrac{5}{\sin C}\\\\\Rightarrow \sin C=\dfrac{5}{8}\sin 103^{\circ}=0.6089\\\Rightarrow C=37.51^{\circ}[/tex]

[tex]\Rightarrow \angle B=180^{\circ} -103^{\circ}-37.51^{\circ}\\\Rightarrow \angle B=39.49^{\circ}[/tex]

If b=m, then

[tex]\Rightarrow \dfrac{8}{\sin 103^{\circ}}=\dfrac{m}{\sin 39.49^{\circ}}\\\\\Rightarrow m=\dfrac{\sin 39.49^{\circ}}{\sin 103^{\circ}}\times 8=5.22[/tex]

Preapproval.

A mortgage loan is a loan in which registered property, such as real estate, serves as collateral. If a person borrows money for the purchase of a house, and gives the house as collateral, he is the owner of the property, borrower and mortgagor. The lender, usually a financial institution, is the mortgagee (he acquires the right of mortgage: first right of sale).

When receiving an application for a mortgage loan, the bank performs a series of evaluations of the economy and finances of who applies the loan. Thus, if the bank considers that the individual meets the requirements, it pre-approves the credit, subjecting its final approval to the conditions of the property to be acquired.

Learn more about mortgages in https://brainly.com/question/1318711

Answer:

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Mean of 25.5 centimeters and a standard deviation of 1.4 centimeters.

This means that [tex]\mu = 25.5, \sigma = 1.4[/tex]

These shoes will fit men with feet that are 24.6 to 28.8 centimeters long. What percentage of boys aged 16 to 17 will not be able find shoes that fit in this​ store?

Less than 24.6:

The proportion is the pvalue of Z when X = 24.6. So

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

[tex]Z = \frac{24.6 - 25.5}{1.4}[/tex]

[tex]Z = -0.64[/tex]

[tex]Z = -0.64[/tex] has a pvalue of 0.2611

More than 28.8:

The proportion is 1 subtracted by the pvalue of Z when X = 28.8. So

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

[tex]Z = \frac{28.8 - 25.5}{1.4}[/tex]

[tex]Z = 2.36[/tex]

[tex]Z = 2.36[/tex] has a pvalue of 0.9909

1 - 0.9909 = 0.0091

0.2611 + 0.0091 = 0.2702

0.2702*100% = 27.02%

27.02% of boys aged 16 to 17 will not be able find shoes that fit in this​ store

Answer:

d. 22

Step-by-step explanation:

(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem

PQ = ?

QR = 2

TS = 8

SR = 4

Plug in the values

(PQ + 2) × 2 = (8 + 4) × 4

2PQ + 4 = 12 × 4

2PQ + 4 = 48

2PQ + 4 - 4 = 48 - 4

2PQ = 44

2PQ/2 = 44/2

PQ = 22

Answer:

[tex]\frac{16}{152}[/tex]

[tex]\frac{15}{210}[/tex]

Step-by-step explanation:

Answer:

I think it's A AND C. The diameter is just the radius multiplied by 2 at the end of the day.B is just wrong.

Step-by-step explanation:

the answer is in the attachment

Answer:

Simplify the expression.

11 b − 4

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{14b + 9b - 4 - 12b}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(14b + 9b - 12b) + (-4)}\\\\\large\text{(14b + 9b - 12b) = 23b - 12b = \bf{11b}}\\\\\large\text{-4 = \bf{-4}}\\\\\large\text{\bf{= 11b - 4}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{11b - 4}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Answer:

B length = 60 feet, width = 45 feet

Step-by-step explanation:

If you divide the scale drawing (15 in) by length by the scale of of the same dimension (3 in) and multiply what you get (5) by what the larger scale is (12 ft) you get the answer (60 ft)

Given:

The figure of a pentagon.

To find:

The value of the x.

Solution:

We know that, the sum of all interior angles of a pentagon is 540 degrees. So,

[tex](5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540[/tex]

[tex](5x+6x+6x+9x+7x)+(-25+25-3+15)=540[/tex]

[tex]33x+12=540[/tex]

Subtract both sides by 12.

[tex]33x+12-12=540-12[/tex]

[tex]33x=528[/tex]

Divide both sides by 33.

[tex]x=\dfrac{528}{33}[/tex]

[tex]x=16[/tex]

Therefore, the value of the x is 16.

Answer:

The correct answer here is A. x = 17.

How I found this out:

3x + 3 and 5x - 7 are going to be different solutions in the end.  

I did the process of elimination.

First, I subsituted, 17 for x. 3 X 17 + 3 = 54. 5 X 17 - 7 = 78.

I then took 180 - 54 - 48 = 78 and 180 - 78 - 48 = 54, just to make sure they are positive numbers and not negative.

Since they work out, I chose this as my correct answer to your question.  

Step-by-step explanation:

Hope this helps! :)

I tried my best so I'm it's wrong.

Answer:

rectangles opposite sides are equal.

the diagonal of rectangle is hypotenuse of the right angle triangle.

30²+16²=x²

900+256=x²

1156=x²

1156½=x²

34=x

so, the fence need to be 34ft

Answer:

part a =x=a x p

Step-by-step explanation: