Find the angle e and f

At the beach 29% of people have red towels and 18% have white towels if the rest have blue ,what percentage of the people at the

Sonbull [250]

The anwser is 53%....

8 0

3 years ago

Read 2 more answers

There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051

BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events A and B are independent.

Step-by-step explanation:

The events are defined as follows:

A = a student in the class has a sister

B = a student has a brother

The information provided is:

N = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event X provided that another event Y has already occurred is:

$P(X|Y)=\frac{P(A\cap Y)}{P(Y)}$

If the events X and Y are independent then,

$P(X|Y)=P(X)$

(1)

Compute the probability of event A as follows:

$P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286$

The value of P (A) is 0.4286.

(2)

Compute the probability of event B as follows:

$P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50$

The value of P (B) is 0.50.

(3)

Compute the probability of event A and B as follows:

$P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143$

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of B given A as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50$

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events A and B are independent.

6 0

3 years ago

a new rectangular park is planned.it will be 3/4 kilometer long and have an area of 3/8 square kilometers. how many kilometers w

kakasveta [241]

The word usage in last sentence of the question is not well presented. However, I can understand that you intend to solve for the width of the park

Answer:

$Width = 2\ km$

Step-by-step explanation:

Given

$Length = \frac{3}{8}km$

$Area = \frac{3}{4}km^2$

Required

Determine the Width

For a rectangle:

$Area = Length * Width$

Substitute for Area and Length

$\frac{3}{4} = \frac{3}{8} * Width$

Multiply both sides by $\frac{8}{3}$

$\frac{8}{3} * \frac{3}{4} = \frac{3}{8} * \frac{8}{3}* Width$

$\frac{8}{3} * \frac{3}{4} = Width$

$\frac{24}{12} = Width$

$2 = Width$

$Width = 2\ km$

6 0

3 years ago

6. A sporting goods store receives an order of 100 baseball caps, of which 22 are green. If 1 of

Taya2010 [7]

Answer:

$\text{A. }39/50$

Step-by-step explanation:

The probability that a randomly selected cap will not be green is equal to the number of non-green caps divided by the total number of caps.

Since there are 100 caps total and 22 are green, there must be $100-22=78$ non-green caps.

Divide this by the total number of caps (100) to get the probability that a randomly selected cap will not be green:

$\frac{78}{100}$

Simplify by dividing both the numerator and denominator by 2:

$\frac{78}{100}=\boxed{39/50}$

6 0

3 years ago

What is the perimeter of a rectangle with a length of (x^2+x) and a width of (2x^2+3x)

Mazyrski [523]

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

5 0

3 years ago