What is −1 2/3⋅(−5 1/4) ? −8 3/4 −5 1/6 5 1/6 8 3/4

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

( 70 POINTS BRAINLIST) an offshore windmill is partly submerged in the ocean. it's tallest point is 120 meters above sea level i

alexdok [17]

Answer:

half of it would be 45

Step-by-step explanation:

120 - 30 = 90

90 divided by 2 = 45

hope this helped! sorry if i didn't answer your question, i was a little bit confused on what you wanted us to solve:)

if u want to find the length of it, it would be 150 because 120 + 30 = 150

7 0

2 years ago

Read 2 more answers

What is an estimate of 9.7 times 0.4

andrezito [222]

When I did the math I came up as 3.88 but if you have to round up it wound be 4 or 3.9

4 0

3 years ago

Read 2 more answers

Suppose a company needs temporary passwords for the trial of a new payroll software. Each password will have one digit followed

Alekssandra [29.7K]

Answer: The required number of passwords that can be created is 175760.

Step-by-step explanation: Given that a company needs temporary passwords for the trial of a new payroll software.

Each password will have one digit followed by three letters and the letters can be repeated.

We are to find the number of passwords that can be created using this format.

For the one digit in the password, we have 10 options, 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Since there are 26 letters in English alphabet and letters can be repeated, so the number of options for 3 letters is

26 × 26 × 26 = 17576.

Therefore, the total number of ways in which passwords can be created using the given format is

$n=9\times17576=175760.$

Thus, the required number of passwords that can be created is 175760.

3 0

3 years ago

Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A

GuDViN [60]

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

As m=5/8, so the equation of line become

y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

-7 = -5 + c

c= -7 + 5

c= -2

On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

5 0

3 years ago