1. (18 points)You are stationed at a port on the ocean. A cruise liner is sailing past your port. When it
goes past you, it is traveling at a speed of 30. and is 2,000 ft from the shore.

Answer:

9 months

Explanation:

3 times 3 is nine

If one quarter is 3 months. 3 of these quarters would have 9 months all together.

Answer:19

Step-by-step explanation:

Answer: n=-42

Step-by-step explanation:

Take the given equation

-67 = n - 25

+25       +25

Add 25 to each side to cancel out the negative 25 on the right side

-67 + 25 = -42

n = -42

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

[tex]T = 4*7! = 4*5040 = 20160[/tex]

The people can seat themselves in 20160 different ways.

Answer:

your answer will be X=30

Step-by-step explanation:

[tex]85 = 3x - 5[/tex]

[tex]90 = 3x[/tex]

[tex]x = 30[/tex]

hope it helps you!!

Answer: 1224 miles

Step-by-step explanation:

Given

the average speed of a person is 51 mph

If speed is increased to 72 mph, he would have reached 7 hr earlier

Suppose d and t be the distance and time taken

[tex]\Rightarrow t_1=\dfrac{d}{51}[/tex]

If the speed is 72 mph

[tex]\Rightarrow t_2=\dfrac{d}{72}[/tex]

Also, [tex]t_1-t_2=7[/tex]

[tex]\Rightarrow \dfrac{d}{51}-\dfrac{d}{72}=7\\\\\Rightarrow \dfrac{1}{51}-\dfrac{1}{72}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{24-17}{1224}=\dfrac{7}{d}\\\\\Rightarrow \dfrac{7}{1224}=\dfrac{7}{d}\\\\\Rightarrow d=1224\ miles[/tex]

6 hours and 20 mintues = 380 mintues

25% of 380 = 95 mintues = 1 hour and 35 mintues

Step-by-step explanation:

your welcome also use the website calculator.net it had a percentage calculator

Answer:

The answer is 95 minutes.

Step-by-step explanation:

1. Convert 6 hours to minutes which would lead to 360 minutes.

2. 360 minutes + 20 minutes = 380 minutes.

3. Now find 25% of 380 minutes.

How I found 25%.

1. 50% of 380 = 190.

2. 50% of 190 = 95.

Now since the half of our base half is 95 then 2 halfes are 2 25% but we need 1 only so we can conclude that, 25% of 380 minutes is 95.

Hope this helped :).

Answer:

i hope this helps

Step-by-step explanation:

-10 = -8+6(w-5) (reorder)

-8+6(w-5) = -10 (add 8 to both sides)

6(w-5) = -2 (divide both sides by 6)

w-5 = -1/3 (add 5 to both sides)

w = 14/3 or 4 2/3

Answer:

D) 53°

Step-by-step explanation:

All interior angles of any triangle add up to 180°

? = 180° - 43° - 84°

? = 53°

Answer:

Its B. 53

Step-by-step explanation:

To find the unknown angel you need to add the number you already have AKA 43 and 84 you need to add up to 180 so 43+84+53= 180

Answer:

16

Step-by-step explanation:

Arrange date in order

3,5,8,12,15,16,20

find median  in this case its 12 also khown as 2nd quartile know  find the themedian of data that is on the right right of median or 2nd Quartiles  That will be the 3rd quartile...

Answer:

wheres the graph tho

Step-by-step explanation:

????

Answer:

Where the graph idiot

Step-by-step explanation:

Answer: v-(kx8)

Step-by-step explanation: plz mark me brainliest

Step-by-step explanation: When finding the coordinates

of a given point, be very careful with your signs.

On the x-axis, left means negative and right means positive and

on the y-axis, down means negative, and up means positive.

So to find the coordinates for point A, we start at the origin,

which is the point (0, 0), and we move 2 units to the left and 4 units up.

So that's the point (-2, 4).

Remember to go left or right first, then up or down.

So for point B, we go 0 units to the left or right and 3 units down.

So that's the point (0, -3).

For point C, we move 4 units to th

right and 4 units down so tha's (4, -4).

Answer:

6

Step-by-step explanation:

Answer:

w+1.3=2.7

Step-by-step explanation:

Answer:

1.3 + w = 2.7

Step-by-step explanation:

Hope this helps

Answer:

4

Step-by-step explanation:

3/4÷3/16

3/4×16/3

3•16=48

4×3=12

48÷12=4

TRY THIS

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]

Hope it will help :)❤

Answer:

I) ∠2 and ∠5

Step-by-step explanation:

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Answer:

∠DAB = 133°

Step-by-step explanation:

Given - Quadrilateral ABCD is a parallelogram. ∠D = 3x + 17, ∠B = 5x - 3

To find - What is the measure of ∠DAB?

Proof -

We know that In a parallelogram, opposite angles are equal.

So, ∠A = ∠C and ∠B = ∠D

Now,

As ∠B = ∠D

⇒3x + 17 = 5x - 3

⇒17 + 3 = 5x - 3x

⇒20 = 2x

⇒x = 10

So,

∠B = 5(10) - 3 = 50 - 3 = 47

⇒∠B = 47°

Also, we know that

∠A + ∠B = 180°

⇒∠A = 180° - ∠B

⇒∠A = 180° - 47° = 133°

⇒∠A = 133°

⇒∠DAB = 133°

Answer:

49开

Step-by-step explanation:

I believe it's 153.9

Answer:

a) the probability of a length of stay greater than 10 hours is 0.03144

b) the length of stay is exceeded by 25% of the visits is 6.5 hrs

c)

P( X < 0 ) = 0.0559

The probability of length of stay less than 0 hours is 0.0559, length of stay cannot be less than 0. When the normal model is used, we assume that the LOF is approximately normally distributed.

The LOF is better modeled by the normal distribution near the mean and worse in the tails.

The probabilities in the left tail for the vales of X < 0  can be neglected.

Step-by-step explanation:

Given that;

mean μ = 4.6

standard deviation σ = 2.9

let x represent length of stay;

a. What is the probability of a length of stay greater than 10 hours?

p( x > 10 ) = p( x-μ/σ > 10-4.6 / 2.9 )

= p( Z > 1.86)

= P( Z < - 1.86 )

FROM THE Z SCORE TABLE;( Z < - 1.86 ) = 0.03144

p( x > 10 )  = 0.03144

Therefore, the probability of a length of stay greater than 10 hours is 0.03144

b) What length of stay is exceeded by 25% of the visits?

p( X > x ) = 0.25

so

p( X < x ) = 0.75

p( x-μ/σ < x-4.6 / 2.9 ) = 75

p( Z < x-4.6 / 2.9 ) = 0.75 ----- 1

also, from the standard normal table; P( Z < 0.67 ) = 0.75 ------ 11

from equation 1 and 11

x-4.6 / 2.9 = 0.67

x-4.6 = 2.9 × 0.67

x - 4.6 = 1.943

x = 4.6 + 1.943

x = 6.543 ≈ 6.5

Therefore, the length of stay is exceeded by 25% of the visits is 6.5 hrs

c)  From the normally distributed model, what is the probability of a length of stay less than 0 hours?

P( X < 0 ) = p( x-μ/σ < 0-4.6 / 2.9 )

= P( Z - 1.59)

from table;( Z - 1.59) = 0.0559

P( X < 0 ) = 0.0559

The probability of length of stay less than 0 hours is 0.0559, length of stay cannot be less than 0. When the normal model is used, we assume that the LOF is approximately normally distributed.

The LOF is better modeled by the normal distribution near the mean and worse in the tails.

The probabilities in the left tail for the vales of X < 0  can be neglected.  

Answer:

768-452.16=315.84

Step-by-step explanation:

Answer:

60 i hope it right good luck

Answer:

$31.491

Step-by-step explanation:

Price of the book=$34.99

Sale given=10%

Price of the book after sale=34.99-{(10/100)*34.99}

=34.99-3.499

=34.990-3.499

=$31.491

Answer:

12.7279221 i

Step-by-step explanation:

Round to 13 or 12.7

Answer:

4x=80 and 5x=100

Step-by-step explanation:

4x+5x=180

9x=180

1/9 (9x)=1/9 (180)

x=20

4(20)=80

5(20)=100