Find P(4).
A 1/8
B 1/4
C 1/2

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

Answer:

Step-by-step explanation:

Answer:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

15                       7.50                                 7.50  

∑                                                               17.0281

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  17.0281    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Answer:

trianglw

Step-by-step explanation:

Answer:

Two circles and a rectangle will make up a cylander.

Step-by-step explanation:

Have a good day! :)

Answer:

volume of box(v)=l×b×h

=1×6×4

=24ft^3

so it required 24volume sand to fill the box

Answer:

Yes

Step-by-step explanation:

If you multiply it out, the expressions have the same value of 6p, so whatever you plug in for p, it will always be the same

The early redemption fee on this account is $2.25.

The annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. APR is a number that shows the actual yearly cost of funds throughout the life of a loan or the revenue received on an investment. This includes any fees or additional costs linked with the transaction but excludes compounding. The APR provides consumers with a single number that they may use to compare lenders, credit cards, and investment products.

We buy a CD for $300 that earns 3% APR and is compounded quarterly.

So, The early withdrawal fee is equivalent to 3 months' interest.  

= (APR / 12) X 3

= APR / 4

= 3% / 4

= 0.03/ 4

= 0.75

and, the Early withdrawal fee = 0.75 x $300

Thus, the redemption fee  is

= 0.0075 x $300

= $2.25

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Answer:

45 sweets.

Step-by-step explanation:

6:2:1

To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.

6 x 5 = 30

1 x 5 = 5

30 - 5 = 25.

So, Jim as 30 candy and Dan has 1. How much does David have?

Just do the same thing but with 2 x n:

2 x 5 = 10.

Now add them together:

30 + 10 + 5 = 45.

Therefore, 45 sweets!

Answer:

a. Alice’s claim is correct.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.

Alice claims that a sample size of 25 will produce a narrower interval

25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.

Desmond claims that a sample size of 15 will produce a narrower interval.

15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.

So the correct answer is given by option a.

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Answer:

6750 meters

Step-by-step explanation:

1 kilometer = 1000 meters

1000*6.75=6750

Answer:

6750 meters

Step-by-step explanation:

Kilometers are equal to 1000 meters, so we can just multiply 6.75 x 1000 to get 6750 meters

Answer:

2x-7, 2x-7=14, 2+7

Step-by-step explanation:

I am 99% sure these are correct

Answer:

17) [tex]6a^{3}b^{2}[/tex]

18) [tex]40m^{4} n^{10}[/tex]

19) 14x³y²

20) [tex]9x^{2} y^{6}[/tex]π

Step-by-step explanation:

17)

Area of triangle = 1/2*b*h

A = 1/2(4a²b)(3ab)

A = 6(a³b²)

18)

A = 1/2(4mn⁵)(20m³n⁵)

A = (40)(m⁴n¹⁰)

19)

A = 2 (1/2)(2xy)(3x²y)

A = (6x³y²) + (4x²y*2xy)

A = 6x³y² + 8x³y²

A = 14x³y²

20)

A = (3xy³)²

A = 3² x² (y³)²

Answer:

What does this even say maybe I can try and help.

Answer:

I would use the sale price.

Step-by-step explanation:

20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.

Answer:

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.

The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.

The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.

Answer:

Angle B= 31°

angle ECD=118°

Step-by-step explanation:

It Is Because Of The Two Sides Are Equal So that the opposite angle of each equal sides also equal.

angle A=angle B

31°=31°

So Angle B=31°

angle ACB+angle B+angle A=180°

angle ACB+31°+31°=180°

angle ACB+62°=180°

angle ACB=180°+62°

angle ACB=118°=angle ECD

Because It Is Him Opposite Angle

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

The investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Step-by-step explanation:

To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:

1000 x (1 + 0.06 / 1) ^ 1x1 = X

1000 x 1.06 ^ 1 = X

1000 x 1.06 = X

1060 = X

Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.

Answer:

90 degrees

Step-by-step explanation:

Answer:

It’s 100% 25..

Step-by-step explanation:

Answer:

When it is the first operation in an expression, from left to right.

Answer:

310 mm 0.6 km = 6,000 m 457 mm = 4.57 cmStep-by-step explanation:

The statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that conversations  1km = 1000 m

1 cm = 10 mm

1 m = 100 cm

0.6 km = 6,000 m is not correct, as 0.6 km is 600m

46 m = 4,600 cm is correct.

0.31 m = 310 mm is correct

457 mm = 4.57 cm is incorrect, as 457 mm  is 45.7 cm

7.5 m = 0.0075 km is correct

0.31 m = 310 mm is correct

Hence, the statements 46 m = 4,600 cm, 0.31 m = 310 mm, 7.5 m = 0.0075 km and 0.31 m = 310 mm are correct conversations

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Given:

A figure of a right angle.

To find:

The value of x.

Solution:

We know that the measure of the altitude on the hypotenuse of a right right triangle is the geometric mean of the segments of the hypotenuse.

If the altitude "h", divides the hypotenuse in two segments "a" and "b", then

[tex]h=\sqrt{ab}[/tex]

In the given figure, the measure of the altitude is x and it divides the hypotenuse in two segments 3 units and 24 units.

Using the above theorem, we get

[tex]x=\sqrt{3\times 24}[/tex]

[tex]x=\sqrt{72}[/tex]

[tex]x=6\sqrt{2}[/tex]

Therefore, the required solutions for the given blanks are:

Blank 1: 72

Blank 2: 6

Blank 3: 2

Answer:

x = 4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the mean of A

= (84 + 84 + 85 + 86) ÷ 4

= 339 ÷ 4

= 84.75

the median of A

= (84 + 85) ÷2

= 169 ÷ 2

= 84.5

84.75 > 84.5

the mean of B

= (74 + 79 + 82 + 87) ÷ 4

= 332 ÷ 4

= 80.5

the median of B

= (79 + 82) ÷2

= 161 ÷ 2

= 80.5

80.5 = 80.5

the mean = the median

the mean of C

= (63 + 66 + 67 + 68) ÷ 4

= 264 ÷ 4

= 66

the median of C

= (66 + 67) ÷2

= 133 ÷ 2

= 66.5

66 < 66.5

the mean of D

= (14 + 16 + 18 + 19) ÷ 4

= 67 ÷ 4

= 16.75

the median of D

= (16 + 18) ÷2

= 34 ÷ 2

= 17

16.75 > 17

Answer: 37.5%

Step-by-step explanation:

To find 3/8, divide 100 by 8 (12.5), then multiply that by 3 to figure out 3/8.