What are the coordinates of points P and S?
A. P(4,-4) and S(3,-2)
B. P(4,-4) and S(-2,-3)
C. P(-4,-4) and S(-3,-2)
D. P(-4,4) and S(-3,-2)

Answer:

1. Length BC is 1200 ft

2. Angle B is 48.6°

3. Angle C is 41.8°

Step-by-step explanation:

1. Determination of the length BC

Side opposite C = c = 800 ft

Side opposite B = b = 900 ft

Angle A = 89.6°

Side opposite BC = a =?

Using cosine rule, we can obtain length BC as follow:

a² = b² + c² – 2bc CosA

a² = 900² + 800² – 2 × 900 × 800 × Cos89.6

a² = 810000 + 640000 – 1440000 × 0.007

a² = 1450000 – 10080

a² = 1439920

Take the square root of both side

a = √1439920

a ≈ 1200 ft

Thus, length BC is 1200 ft

2. Determination of angle B

Side opposite B = b = 900 ft

Side opposite A = a = 1200 ft

Angle A = 89.6°

Angle B =?

Angle B can be obtained by using sine rule as follow:

a / Sine A = b / Sine B

1200 / Sine 89.6° = 900 / Sine B

Cross multiply

1200 × Sine B = 900 × Sine 89.6°

1200 × Sine B = 900

Divide both side by 1200

Sine B = 900/1200

Sine B = 0.75

Take the inverse of Sine

B = Sine¯¹ 0.75

B = 48.6°

Thus, angle B is 48.6°

3. Determination of angle C

Side opposite C = c = 800 ft

Side opposite A = a = 1200 ft

Angle A = 89.6°

Angle C =?

Angle C can be obtained by using sine rule as follow:

a / Sine A = c / Sine C

1200 / Sine 89.6° = 800 / Sine B

Cross multiply

1200 × Sine C = 800 × Sine 89.6°

1200 × Sine C = 800

Divide both side by 1200

Sine C = 800/1200

Sine C = 0.6667

Take the inverse of Sine

C = Sine¯¹ 0.6667

C = 48.6°

Thus, angle C is 41.8°

First problem:

C

Second:

A

Third:

C

Answer:

No.

Step-by-step explanation:

-3 is greater than -6. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that [tex]p = 0.95[/tex]

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135[/tex]

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Answer: it might be something like, descending slope, or declining slope, are there answer choices

Answer:

42. 2

6.496

Step-by-step explanation:

Given the data :

21, 12, 3, 9, 11

Variance :

S² = Σ(x - m)² ÷ (n - 1)

n = sample size = 5

m = sample mean = Σx / n

m = (21 + 12 + 3 + 9 + 11) / 5

m = 11. 2

(21-11.2)² + (12 -11.2)² + (3 - 11.2)² + (9-11.2)²

+ (11-11.2)² / (5 - 1)

S² = 42.2

Standard deviation, s = sqrt(42.2) = 6.496

Answer:

Dividing and Subtracting by a negative number will reverse the inequality sign, Addign and Multiplying by a positive number will stay the same. Please tell me if I am wrong.

Answer:

31/20 is already in the simplest form.

Step-by-step explanation:

It can be written as 1.55 in decimal form (rounded to 6 decimal places).

Answer:

we will assume a variable X for time which is time between two successive bites and time until next bite.

X = (time between successive mosquito bites) = (time until the next mosquito bite).

According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.

X is a geometric random variable, so

E[X] = 1/p = 10

and

var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90

Answer:

You need to the value of the letter "variable."

Step-by-step explanation:

Answer:

Huh? Can I get more details?

Step-by-step explanation:

Answer:

you would add a /1 under the 7 so it would be 7/1

Step-by-step explanation:

Answer:

84/12

Step-by-step explanation:

since 7 is a whole, you need to make it a improper fraction so its easier to subtract. We need to do this by making sure the denominator stays the same which is 12.Then do 7x12. you get 84, so 84/12. Then its easier to solve.

Answer:

Quarters = 10

Dimes = 15

Step-by-step explanation:

d = number of dimes, q = number of quarters

d + q = 25 is the equation for number of coins

0.1d + 0.25q = 4 is the equation for value of coins

First, solve for d in terms of q:

d + q = 25

d = 25 - q

Then substitute that into the other equation:

0.1(25 - q) + 0.25q = 4

2.5 - 0.1q + 0.25q = 4

0.15q = 1.5

q = 10

And back to d = 25 - q, d = 25 - 10 = 15

Check the math:

0.1(15) + 10(0.25) = 1.5 + 2.5 = 4

LMK if you have questions

Answer:

There are five different ways to assign teams.

Step-by-step explanation:

To make the correct assignment we must bear in mind that there are two variables or students that will always be static, which are Aishu and Jeremi, so the other two students could be assigned with each of them finally 5 teams can be successfully formed.

First team:       (Aishu-Xiaoying), (Jeremy), (Daniel)

Second team:  (Aishu), (jeremy-xiaoying),(Daniel)

Third Team:     (Aishu), (Jeremy), (Daniel-Xiaoying)

Fourth Team:   (Aishu-Daniel), (Jeremy), (Xiaoying)

Fifth Team:      (Aishu), (Jeremy-Daniel), (Xiaoying)

Answer:

Step-by-step explanation:

Average of the first 3 = 85 + 77 + 81 / 3

= 243 / 3

= 81

The fourth score ( to get 85 ) = 81 + 89

= 170 / 2

= 85

Answer:

  97

Step-by-step explanation:

Relative to the average she wants, Carolyn's scores are ...

  85-85 = 0

  77-85 = -8

  81-85 = -4

Carolyn's score total is -8-4 = -12 points from the average she wants, so she must get 85+12 = 97 on her speech to achieve a B+ average.

_____

Check

With a 97, Carolyn's average would be ...

  (85 +77 +81 +97)/4 = 340/4 = 85

Answer: $120

Step-by-step explanation:

This is fairly easy if you use this solution to solve it

Take the $150 and multiply by 0.8

You multiply by 0.8 because you do

1-0.20 (20% off) to get 0.8

The equation will look like

$150(0.8)=$120

Answer:

28.917

Step-by-step explanation:

i multiplied the two numbers

Answer:

a. c = 5.5n

b. Continuous

c. $33

Step-by-step explanation:

A store sells assorted nuts for $5.50 per pound.

a) Write a function in equation form to represent the total cost (c) of any number of pounds of nuts (n)

For every n, 5.5 is added to c. Thus, c = 5.5n

b) Will the graph of this function be continuous or discrete?

Continuous domains are ones that continue on in between intervals. For example, the height of someone would be continuous, because it could, for example, be between 50 inches and 70 inches. On the other hand, discrete domains are ones that can only be a set of given numbers. An example would be how much food you need to feed to a number of cats (for example, each cat needs to eat 0.5 pounds of food). Because you cannot have half a cat, the domain needs to have whole numbers.

Because you can buy 0.5 or 0.2 (or any amount of nuts), the domain is continuous.

c) What would the total cost be for 6 pounds of nuts?

Using the function from a), we know that the cost is 5.5n, where n is the amount of nuts you buy, in pounds. So, plug in "6"

5.5n = 5.5 * 6 = 33

Cost is $33

I hope this helps! Feel free to ask any questions!

Answer:

D

Step-by-step explanation:

Answer:

17/24

Step-by-step explanation:

Find common denominators...

1/3 = 8/24

3/8 = 9/24

Now add...

17/24 of the cake was eaten

Hope this helps :)

Answer:

Answer: 2pq +7 is the ANS.

Answer:

39.51 million

Step-by-step explanation:

Answer:

b. $16.25

...............

Answer:

8.29

Step-by-step explanation:

Cada linea representa ,1

y como es la ultima linea de las 9 antes del 8,3 la respuesta es 8.29

Answer:

[tex] \boxed{\theta = 40 \degree}[/tex]

Step-by-step explanation:

[tex] \tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4[/tex]

Answer:

10

Step-by-step explanation: