It is reported that 72% of working women use computers at work.
Choose 5 working women at random. Find

a. The probability that at least 1 doesn't use a computer
at work

b. The probability that all 5 use a computer in their
jobs

Answers

Answer 1

Answer:

a

Step-by-step explanation:

the answer is up at the top

Answer 2

The probability that at least 1 doesn't use a computer at work is 0.8065.

The probability that all 5 use a computer in their jobs is 0.1935.

What is a probability function?

Suppose we let X represent the no. of women that make use of computers at work. A given random variable X which approaches a binomial distribution with the following data n = 5 and p = 0.72 has a probability function:

[tex]\mathbf{P(X=x) = \left \{ {{(^5_x)(0.72)^x(0.28)^{5-x}, \ X = 0,1,2,...5} \atop {0, \ \ \ \ \ \ \ \ \ \ \ \ elsewhere }} \right.}[/tex]

a.)

Then, the probability that at least 1 doesn't use a computer at work can be computed as:
[tex]\mathbf{1-P(X=5) =1 - (^5_5)(0.72)^5(0.28)^{5-5}}[/tex]

[tex]\mathbf{1-P(X=5) =1 - (0.72)^5}[/tex]

[tex]\mathbf{1-P(X=5) =1 - 0.1935}[/tex]

⇒ 0.8065

b.)

The probability that all 5 make use of computers at their job is;
[tex]\mathbf{P(X=5) = (^5_5) (0.72)^5 (0.28)^{5-5}}[/tex]

[tex]\mathbf{P(X=5) = 1 \times (0.72)^5 \times 1}[/tex]

P(X = 5) = 0.1935

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Related Questions

Simplify completely 3x + 18 / 18

1.) x

2.) 3x

3.) x + 6 / 6

4.) x + 18 / 6

Answers

Answer:

3(x + 6)/18

= x + 6 /6

Step-by-step explanation:

hope this helps you

"Solve the linear equation for y" 14x= -5y (-) 11

Answers

Answer:

y = -4/5x - 11/5

Step-by-step explanation:

4x = -5y (-) 11

4x = -5y - 11

-5y = 4x + 11

5y = -4x - 11

y = -4/5x - 11/5

6) Write an expression that is equivalent to 3(7 + x).
3(7+ x) =___
+___
?

Answers

Answer:

21 + 3x

Step-by-step explanation:

hope this helps

HEALTH CLUB Currently, 96 members participate in the morning workout,
and this number has been increasing by 2 people per week. Currently, 80
members participate in the afternoon workout, and this number has been
decreasing by 3 people per week. In how many weeks will the number of
people working out in the morning be double the number of people
working out in the afternoon?

Answers

Answer:

13 weeks

Step-by-step explanation:

anyone have the answer to this?

Answers

Answer:

5+4÷8-7x1

Just do out the equations :)

What two numbers add up to -18 and multiply to -12?

Answers

Answer:

-6

Step-by-step explanation:

PLS HELPPPPPPPPPP PLSSSSSS ASAP

Answers

Answer:

3 i think

uhh I don't know, I forgot about this

Which of the following is not a measure of the center of a data set?
(1) the median
(2) the mean
(3) the range
(4) the mode​

Answers

Answer:

i think its 4.

Step-by-step explanation:

The Range is not used to measure of the center of a data set.

Here,

We have to find, which is not a measure of the center of a data set.

What is Range?

The range of a set of data is the difference between the largest and smallest values.

Now,

Median is the middle number, when data is arranged in numerical order.

Mean is the average of a data set.

Mode is the data item the appears most frequently.

Hence,

Median, Mean, Mode all are used to measure of the center of a data set.

So, Only The Range is not used to measure of the center of a data set.

Option 3 is true.

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Solve the inequality. Graph the solution.

4/5 ≤ m - 1/5 ​

Answers

Answer:

1 < m

Step-by-step explanation:

add the 1/5 over and simplify

Which graph represents − 12 x − 6 y ≥ 5

Answers

Answer:

its 12

Step-by-step explanation:

Your answer is the image below.

To graph this inequality, Rearrange the Y so everything right is now left, and then plot Y on a number line. Lastly, shade or leave the circle open or closed.

Greater than or less to = OPEN circle (Not shaded)

Greater and/or less than or equal to = CLOSED circle (Shaded)

PLEASE HELP URGENT WILL MARK AS BRAINLIEST PLUS POINTS!!

Answers

Answer:

22 (4th option)

Step-by-step explanation:

The side lengths are useless.

Pay attention to the angles.

<QRP=68 degrees.

Vertical angles make it so <SRT=68

180-90(right angle)-68=22 degrees

Help fast please it’s due today

Answers

Answer: B,C,D,E

Step-by-step explanation: do the abc's its easy you should try.

Determine if a 25 inch long stick can fit into the bottom of a box that is 20 inches long and 16 inches wide. Support your answer by explaining or showing the math used for your response.

Answers

Answer:

It does fit, and you can find the answer by using the pythagoream theorom, =

Step-by-step explanation:

a2 +b2 =c2.

400 + 256 = c2

656 = c2

find the square root on both sides

c = 25.6

64/374/5 * 20634 + 23694 - 1634 * 51

I hate this question a lot

Answers

Answer:

-58933.81

Step-by-step explanation:

Where do the parentheses go? So messy

Answer:

i am not sure how to solve that sorry

Step-by-step explanation:

.

1. Solve using the quadratic formula. Round answers to the nearest hundredth.
6x^2-14x-9=0

Answers

Answer:

7 +- square root of 103/ 6

Step-by-step explanation:

how much sugar should farid use for 1/2 of a batch of muffins

Answers

Answer:

3/8

Step-by-step explanation:

.

Answer: the answers would be 3/8

Step-by-step explanation:

Got it right

X - Зу = -2
X - Зу = 16

Answers

Answer: x - 3y = -2
x = -2 + 3y

x - 3y = 16
x = 16 + 3y

(a-3)*(6-a)
Make this easier.

Answers

a^2 + 9a - 18 is the simplified version of that equation

If
f (x) = x^2 - 4
what is the average rate of change from x = 3 to x = 5?

Answers

Answer:

The average rate of change is 8

Step-by-step explanation:

Mathematically, we have the average rate of change over a given interval as;

f(b) - f(a)/b-a

Where the interval is [a,b]

With respect to this question, a = 3 and b = 5

f(a) = f(3) = 3^2 - 4 = 9-4 = 5

f(b) = f(5) = 5^2 - 4 = 25-4 = 21

Thus, the average rate of change over the intervals will be;

(21-5)/(5-3) = 16/2 = 8

Help me with this!!!!

Answers

Answer: 3.5

Step-by-step explanation:

By definition, a midpoint is the point that splits a line,ray, or segment into two equal parts.

3.5 is exactly half way in between 3 and 4

I need help on this!

Answers

Answer

X= 6

Y= 19

Step-by-step explanation:

2x+1+y-5+3x-4+x+6

6x+y+19

6x+y19

X= 6

Y= 19

A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51+ Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 Given that an adult likes soccer, what is the probability the adult is aged 18–30?

Answers

The probability that an adult who likes soccer ages 18-30 is approximately 0.444.

Given that the table is,

                                                         Age range

                                        18-30         31-50         51+             Total

                 Football            15              19             17                  51

Sport         Baseball            7               12             18                  37

                 Basketball         15              8              11                   34

                 Soccer               12              9               6                  27

Given:

Liked sport: Soccer

Age range: 18-30

To find the probability that an adult is aged 18-30 given that they like soccer, denoted as P(18-30 | S).

To calculate this probability, use the formula for conditional probability:

[tex]P(18-30 | S)= \frac{P((18-30) \cap (S))} {P(S)}[/tex]

P(18-30 ∩ Soccer) represents the probability that an adult is both aged 18-30 and likes soccer.

Looking at the provided table, the number of adults who like soccer and are aged 18-30 is 12.

P(Soccer) represents the probability that an adult likes soccer. The total number of adults who like soccer, regardless of age, is 27.

Now, calculate the probability:

P(18 - 30| S) = 12 / 27

≈ 0.444 (rounded to three decimal places)

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The complete question:

A sample of adults was asked to choose their favorite sport to watch from a list of four sports.

                                                         Age range

                                        18-30         31-50         51+             Total

                 Football            15              19             17                  51

Sport         Baseball            7               12             18                  37

                 Basketball         15              8              11                   34

                 Soccer               12              9               6                  27

Given that an adult likes soccer, what is the probability the adult is aged 18–30?

just curious, is anyone here really good at math but a bit slow at other subjects? if so we could exchange help in the form of complete work! ;D
like assignment for assignment.
i have insta, snap, discord etc im currently in grade 8 but at a highschool math level(American public school)

Answers

Answer:

Im horrible at math but we could still help each other

Step-by-step explanation:

I'm not taking any subject, but if you need help in math here I am :)

The point (-5, 10) undergoes a translation of 10 units right and 5 units down.
What are the coordinates of the new point?

Answers

Answer:

Translation 10 units right: (-5, 10) --> (5, 10)

Translation 5 units down: (5, 10) --> (5, 5)

(5, 5) is the final answer

Let me know if this helps!

A person places $1690 in an investment account earning an annual rate of 7.2%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 8
years.

Answers

Answer:

Step-by-step explanation:

[tex]V=Pe^{(rt)}\\ \\ V(8)=1690e^{(.072(8))}\\ \\ V(8)=\$ 3006.36[/tex]

HELP PLEASE DUE IN 3 MINUTES

Answers

Answer: I think 149.

Step-by-step explanation:

I consider mean as main, so like the first one the author says. Correct me if I’m wrong.

A bag contains one green marble, two yellow marbles, four blue marbles and five red marbles. How many blue marbles would you need to add to make the probability of drawing a blue marble 1/2?

Answers

Answer:

You would have to add 4 blue marbles

Step-by-step explanation:

there are a total of 12 marbles, 4 of them being blue.

If you add 4 blue ones, there would be a total of 16 marbles and 8 of them would be blue.

8/16 = 1/2

Therefore, 4 blue marbles need to be added for the chance to draw one to be 1/2 or 50%

Answer:

Step-by-step explanation:

Since there is 1 green, 2 yellow, 4 blue, and 5 red we start with 12 marbles. For the probability of picking a blue to be 1/2 we must satisfy.

(b+x)/(12+x)=1/2. (Where x is the number of blue marbles added)

2(b+x)=12+x

2b+2x=12+x

2b+x=12

x=12-2b, since we started with 4 blue marbles

x=12-2(4)

x=12-8

x=4

So we would need to add 4 blue marbles to make the probability of picking a blue 1/2.

Goldfish care manuals recommend that you have only 12 goldfish per 10 gallons of water. If Alex owns a 40 gallon tank that has a population density of 1.75 goldfish/gallon, is Alex meeting the recommendations?

Answers

Answer:

Pretty sure he is..

Step-by-step explanation:

Cus yes

epicly

Find the slope of the line through the points (2, 16) & (18, 1)

Answers

Answer:

-15/16

Step-by-step explanation:

Dairy bar 25 kg of fish flavored cat food and 35 kg of chicken flavored cat food for the cat rescue center he's going to divide the cat food and two packets of 300 g how many packets will he make

Answers

Answer:

200 packets

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Fish flavoured = 25kg or 25,000 gm

Chicken flavoured = 35 kg or 35,000 gm

Packets size = 300gm

So, we can calculate the number of packets by using following formula,

Number of packets = (25,000gm + 35,000gm) ÷ 300gm

Number of packets = 60,000 gm ÷ 300gm

Number of packets = 200 packets

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