The size of each exterior angle in a regular
polygon is 150
Work out how many sides the polygon has.

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:

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:

[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:

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:

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°

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:

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.

First problem:

C

Second:

A

Third:

C

Answer:

Step 1 : Equation at the end of step 1 : (2x - 1) • (x + 7) = 0 Step 2 : Theory - Roots of a product : 2.1 A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately

Step-by-step explanation:

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:

Answer: 2pq +7 is the ANS.

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:

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:

39.51 million

Step-by-step explanation:

The range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

Let's suppose the rental car rate is:

$x per day

Number of days of Jamal's trip = 4 day

He expects to pay $24 for gas (for car rent)

He expects a taxi service would cost about $128

Inequality can be modelled:

128 > 24 + 4x

4x < 104

x < 26

Thus, the range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

b. $16.25

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

Answer:

14cm

Step-by-step explanation:

just so u know all u gotta ddo to findd the diameter is divide it by 3.14 i think

Answer:

10

Step-by-step explanation:

9514 1404 393

Answer:

  x = 22.5

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally.

  x/30 = 24/32

  x = 30(24/32)

  x = 22.5

Answer:

the answer is 6

Step-by-step explanation:

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:

D

Step-by-step explanation:

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.