Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)​

Answers

Answer 1

Answer:

0.0144

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Both

P(both) = 6/100 * 6/100 = 36/10000 = 0.0036

At Least one

Just One

94/100 * 6/100 =  564/10000 = 0.0564    

Both                                            0.0036

Total                                             0.06

                                                   


Related Questions

You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.

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ANSWER: x less than or equal to (<_) 700

Answer:

Step-by-step explanation:

It’s 20

n = 40, p=0.95, X = 38
P(38) =

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Answer:

36.1

Step-by-step explanation:

A bread recipe calls for 1/3 cup of white flour and 5 1/3 cups of whole wheat flour. How much flour do I need in total of my recipe?

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Answer:

5 2/3

Step-by-step explanation:

On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.

Answers

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]

to get (115-135)/20 = -1

What is equivalent to the equation y=3x+z/4?

Answers

parametric form.....


y=3x+ 1/4z

Pls help ASAP math plsssss

Answers

Answer:

ASAP meaning as soon as possible

Answer:

y=  1.4x + 7

Step-by-step explanation:

y= mx + b

m = rise over run = 7/5 = 1.4

the y intercept is 7, this is our b

1) How many ink cartridges can you buy with 77 dollars if one cartridge costs 11 dollars ?​

Answers

7 Ink Cartridges

11x7=77
7 is the answe cuz 11 22 33 44 55 66 77 count those and u get 7

Convert the angle −4.5 radians to degrees, rounding to the nearest 10th

Answers

-4.5 rad = -4.5 x 180 / pi = -257.83°

Answer:-257.8

Step-by-step explanation:

Fill the blanks using Product formula. ​

Answers

Answer: (-4s-1)*(-8) + (-4)*(-8s+7)

You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.

Please help will give brainliest answer

Answers

h=w=4w^3
l=5w^2-3w-4
A=w•l
A=4w^3(5w^2-3w-4)
A=20w^5-12w^4-16w^3
Good luck

If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year

Answers

Answer:

$102

Step-by-step explanation:

2% of $100 = 0.02 * $100 = $2

The increase is $2.

$100 + $2 = $102

Answer: $102

Answer:

100 x 0,2 x 1 year(12/12 months)

=$102 after a year

Which two numbers are exactly 10 units away from 5?​

Answers

Answer:

-5 and 15

Step-by-step explanation:

10±5 = -5, 15

15 and -5 are exactly 10 units away from zero

The sum of all even numbers from 0 to 420 is

Answers

Answer:

the sum of all even number from 0 to 420 is 175980

Which expression is equivalent to −3 2/3

Answers

Answer:

The answer is -3 - 2/3

Step-by-step explanation:

Just subtract

What is the image point of (7,0) after a translation right 2 units and up 1 unit?

Answers

Answer: (9,1)

Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)

Evaluate and simplify the expression when r=2 and s=3

Answers

Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

Use distributive property to remove the parenthesis for:
(1-y+x)(-6)

Answers

-6+6y-6x

there ya go can u please give me brainliest

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

help me please, please

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-243 x -128
——————-
-27 x -32

31104/864
=36

Factorise the expressions and divide them as directed.​

Answers

Answer:

Here you go. Check the answer in book too.

Answer:

10m ( p - q )

Step-by-step explanation:

[tex] \frac{15lm \times 2 {cp}^{2} {q}^{2} }{3l(p + q)}[/tex]

[tex] \frac{30lm \: (p - q)(p + q)}{3l(p + q)} [/tex]

[tex] \frac{10lm(p - q)}{l} [/tex]

[tex]10m(p - q)[/tex]

Hope it is helpful....

Will give brainliest answer please help

Answers

Answer:

[tex]a^{2}(24a^{2}+36a+12)[/tex]

Step-by-step explanation:

Area of rectangle= Length*Width

so [tex](6a^{2}+9a+3)*4a^{2}[/tex]   multiply each coefficient of a times 4a^2

[tex]24a^{4}+36a^{3}+12a^{2}[/tex]  then take a^2 common factor so it will be

[tex]a^{2}(24a^{2}+36a+12)[/tex]=area

What is the solution to the equation below? vx-5=x-11

A. X=9
B. X=15
C. X=14
D. X=6

Answers

Answer:0=−6

Step-by-step explanation:

the answer is D. X=6

(-1) + 1 = 0 is which inverse​

Answers

Answer:

Heya mate....

Step-by-step explanation:

This is ur answer....

--> ADDITIVE INVERSE!

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x.

Hope it helps you,

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2 cups is to 8 cans as 14 cups is to ___ cans?

Answers

Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

How many times can 45 go into 7,200?

Answers

Answer:

160

Step-by-step explanation:

divided 7200 by 45 to get 160

In triangle ABC, angle C is a right angle. If cos A = 5 8, what is the value of cos B?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

n3+5n=6

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What is 21/1 divided by 1/4

Answers

Answer:

84

Step-by-step explanation:

To divide two fractions we turn the second fraction upside down and multiply two fractions

21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1

This can be written as 84

Researchers published a study in which they considered the incidence among the elderly of various mental health conditions such as dementia, bi-polar disorder, obsessive compulsive disorder, delirium, and Alzheimer's disease. In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study. Calculate the probability that fewer than 320 out of the n

Answers

Answer:

The step-by-step procedure to solve this question is given, using the normal approximation to the binomial distribution.

Step-by-step explanation:

We use the normal approximation to the binomial distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

In the U.S., 45% of adults over 65 suffer from one or more of the conditions considered in the study.

This means that [tex]p = 0.45[/tex]

Mean and standard deviation for the approximation, for a sample of n:

[tex]\mu = E(X) = np = 0.45n[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{0.45*0.55n}[/tex]

Calculate the probability that fewer than 320 out of the n

Using continuity correction, this is [tex]P(X < 320 - 0.5) = P(X < 319.5)[/tex], which is the pvalue of Z when X = 319.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{319.5 - 0.45n}{\sqrt{0.45*0.55n}}[/tex]

Just have to replace the value of n, find Z, and then find its pvalue.

Yoko is mailing packages. Each small package costs her $2.20 to send. Each large package costs her $3.40. How much will
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Answers

Answer:

$10

Step-by-step explanation:

3($2.20)+3.40

6.60+3.40=10

7ft
5ft
8ft
7ft
Find the area of each figure

Answers

wheres the figure..??
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