There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?

Answer:

The answer would be 2. Which means that your answer would be option 1 I believe.

Step-by-step explanation:

Answer:

The five odd numbers are:

23, 25, 27, 29, and 31

Step-by-step explanation:

A random odd number is written as:

2*n + 1

Where n is an integer.

Then 5 consecutive odd numbers will be:

2*n + 1

2*(n + 1) + 1

2*(n + 2) + 1

2*(n + 3) + 1

2*(n + 4) + 1

Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:

(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)

Now we just need to solve this for n:

(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)

6*n + 9 = (15 + 7 + 9) + 4*n

6*n - 4*n = 15 + 7 + 9 - 9

2*n = 15 + 7 = 22

n = 22/2 = 11

Then the five numbers are:

(2*11 + 1) = 23

(2*(11 + 1) + 1) = 25

(2*(11 + 2) + 1) = 27

(2*(11 + 3) + 1) = 29

(2*(11 + 4) + 1) = 31

Answer:

its usAlly 9-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm pretty sure that GF is showing, as the interior angle  x -65,  it's just kinda hard to see

135-65 = 70° = GF

answer= 1

5 x 2 - 3^2

1. First simplify exponents

= that is nine

2. Then Do 5 x 2- 9

5 x 2=10

10-9

= 1

Answer:

2.5 I think

Step-by-step explanation:

Answer:

A is the answer it sounds more likely

For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

We have been given a table that shows the results broken down by gender.

             Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4                     ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

Learn more about independent events here

https://brainly.com/question/13488890

#SPJ2

Answer:

1.5

Step-by-step explanation:

Step-by-step explanation:

sin 240° = -½√3 = -0.866

_______

Answer: the second option (1/2)

Step-by-step explanation:

numbers greater than 3: 4, 5, and 6

3 numbers

so 3/6 or 1/2

1/2 or 50% so the second option

Answer:

Step-by-step explanation:

40cm—0.4m

4000mm=4m

4mm=0.4cm

4m=400cm

40km=40,000m

Can’t see the last box in the left line.

1km=1000m

1m=100cm

1cm=10mm

Answer:

y = 1

Step-by-step explanation:

since its a horizantal line

if u take any 2 points and find the slope, for example if we take points (1, 1) and (4, 1) the slope will be 0/3 which is zero

y = 0x + b

so there is basically no x in this case

so y = b

now plug in a point from the line, (1, 1)

y = mx + b

y = 0x + b

1 = 0(1) + b

1 = 0 + b

1 = b

b = 1

final equation:

y = 0x + 1

Answer:

its 18,2O596

Step-by-step explanation:

Answer:3

Step-by-step explanation:

[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]

X= 4 this solution is valid

X= 20 this solution is valid

Answer:

0.164

Step-by-step explanation:

delta math said so but

n=7 ; r=5; p=1/2

q= 1- 1/2 = 1/2

7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164

Answer:

The answer would be : D. 5

Answer: M= 3/5

Step-by-step explanation:  3/5x=3= M=3/5

Answer:

27

Step-by-step explanation:

14/2+5 x 4

7+20

27

Answer:

27

Step-by-step explanation:

14 divided by 2 + 5 x 4

5 x 4 first (pemdas)

5 x 4 is 20

14 / 2 = 7

7 + 20 = 27

if you don’t know pemdas it’s:

p arenthases

e xponents

m ultiply

d ivide

a dd

s ubtract

Answer:

The integers are pairwise relatively prime since two of them are prime

Step-by-step explanation:

Given

[tex]25, 41, 49, 64[/tex]

Required

Determine if they are prime factors

First, we determine the gcd of the 4 numbers

[tex]25 = 1 * 5 * 5[/tex]

[tex]41 =1 * 41[/tex]

[tex]49 = 1 * 7 * 7[/tex]

[tex]64 = 1 * 2 * 2 * 2 * 2 * 2 * 2[/tex]

The common factor in the above computation is: 1

So:

[tex]gcd = 1[/tex]

Because the gcd is 1, this implies that no prime divides all the given numbers.

Hence, they are pairwise relatively prime

Answer:

x = -41

y = 9

Step-by-step explanation:

Begin by multiplying the top equation by 2

2x = -8y - 10

The second equation requires a little more care.

Start by moving 10y to the right. Normally the y value is on the left, but we are going to be substituting for 2x.

2x = - 10y + 8

What I've done is not the usual practice, but there is nothing wrong with it.

Now since both right sides are equal to 2x, you can substitute for them

-8y - 10 = -10y + 8                Add 10y to both sides

-8y + 10y - 10 = 8

2y - 10 = 8                           Add 10 to both sides

2y = 8+10

2y = 18                                 Divide by 2

y = 18/2

y = 9

Use the second original equation to solve for x

2x + 10y = 8

2x + 10*9 = 8                    

2x + 90 = 8                         Subtract 20 from both sides

2x = 8 - 90

2x =  - 82                              Divide by 2

x = -822/2

x = - 41

Answer:

49 is the answer.

Step-by-step explanation:

[tex] - 11 \frac{2}{3} \times - 4 \frac{1}{5} [/tex]

[tex] - \frac{35}{3} \times - \frac{21}{5} [/tex]

[tex] - 7 \times - 7 = 49[/tex]

Answer:

A = 34.1 cm²

Step-by-step explanation:

Shape is a triangle.

Formula for area of a triangle is;

A = ½bh

In this triangle;

b is base = 11 cm

h is height = 6.2 cm

Thus;

A = ½ × 11 × 6.2

A = 34.1 cm²

Answer:

1. 0.7421 = 74.21% probability the elevator is overloaded.

2. D.​No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb​.

This means that [tex]\mu = 166, \sigma = 29[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]

1.The probability the elevator is overloaded is?

Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]

[tex]Z = -0.65[/tex]

[tex]Z = -0.65[/tex] has a p-value of 0.2579.

1 - 0.2579 = 0.7421

0.7421 = 74.21% probability the elevator is overloaded.

2. Does this elevator appear to be​ safe?

High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.

Answer:

sorryajaajqiqoqoqiqsjsjwuwuqqu

Answer:

1.07328

Step-by-step explanation:

223.6 x 0.0048=1.07328