what is the area of the gray part of the triangle?​

Answer:

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have no children, or they do have children. The probability of a family not having children is independent of any other family. 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.

20% of the families have no children at all.

This means that [tex]p = 0.2[/tex]

Five families:

This means that [tex]n = 5[/tex]

What is the chance that exactly two of the five sample families will have no children?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048[/tex]

0.2048 = 20.48% probability that exactly two of the five sample families will have no children.

Answer: understand what

Step-by-step explanation:

Answer:

where qurstion

Step-by-step explanation:

??????????????

Answer:

270 km³

Step-by-step explanation:

the volume = ½×9×6×10 = 270 km³

Answer: 1/56

Step-by-step explanation:

Since the box has 8 different colors, the probability of picking any color of crayon will be 1/8.

This question relates to a probability without replacement, therefore, the probability of picking the red crayon first will be 1/8. After then, there'll be 7 crayons left and the probability of picking the green crayon next will be 1/7.

Therefore, the probability that I will remove the Red and the Green crayon from the box will be:

= 1/8 × 1/7

= 1/56

[tex] \huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Total land area of Rhode Island is :

[tex] \longmapsto\mathrm{1045 \: \: mi {}^{2} }[/tex]

And from the above pie chart, we can conclude that Kent County comprises 16% of total land area of Rhode Island, that is :

[tex]\longrightarrow \dfrac{16}{100} \times 1045[/tex]

[tex]\longrightarrow \dfrac{16720}{100} [/tex]

[tex]\longrightarrow167.2 \: \: mi {}^{2} [/tex]

Therefore, Total land area of Kent County :

[tex] \boxed{ \large{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 167.2 \: \: \: mi {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

no equation is equal to 2 all are greater than 2

Answer: m=0.6

Step-by-step explanation:

Use the m= y2-y1/x2-x1 formula to calculate slope.

7-4=3

Divided by

3-(-2)=5

3/5= 3/5 or 0.6

Answer:

slope = 3/5

Step-by-step explanation:

slope  = rise/run

---------------------------

y rises from 4 to 7 = 3

x runs from -2 to 3 = 5

slope = 3/5

Answer:

two times a number plus 1

Step-by-step explanation:

The probability of incoming freshmen who plan to live on-campus in percentage will be 61.11%. Then the correct option is A.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A university administered a survey to all incoming students regarding living arrangements for the upcoming school year.

The results of the survey are displayed in the following two-way relative frequency table.

                                         On-Campus          Off-Campus            Total

Freshmen                               0.44                     0.28                     0.72

Transfer Students                  0.21                      0.07                     0.28

Total                                       0.65                      0.35                        1

Then the probability of incoming freshmen who plan to live on-campus in percentage will be

P = (0.44 / 0.72) x 100

P = 0.6111 x 100

P = 61.11%

The probability of incoming freshmen who plan to live on-campus in percentage will be 61.11%.

Then the correct option is A.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ5

Reason: It's the largest exponent

When a polynomial is written in standard form like this, the term with the largest exponent is written first, then the next largest and so on.  So in cases like this, we simply need to look at the left-most term; however, this may not always be the case as your teacher could easily mix up the terms to make sure you're paying attention.

This is considered a quintic polynomial due to the degree of 5.

Answer: a= w - 4b/ 7

Step-by-step explanation:

Answer:  the forth one

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

65.57 should be the correct answer!

Step-by-step explanation:

Here is the whole work I did, hope this helps!

100 - 17 = 83

79 x 0.83 = 65.57

Answer:

65.57

Step-by-step explanation:

Method 1:

[tex]\frac{y}{79} :\frac{17}{100}[/tex]

y · 100 = 17 · 79

100y = 1343

100y ÷ 100 = 1343 ÷ 100

y = 13.43

79 - 13.43

65.57

Method 2:

100% - 17% = 83%

[tex]\frac{y}{79} :\frac{83}{100}[/tex]

y · 100 = 83 · 79

100y = 6557

100y ÷ 100 = 6557 ÷ 100

y = 65.57

Answer:

A.

Step-by-step explanation:

1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);

2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then

3. P=5/10=0.5 (option 'A').

Answer:

15

Step-by-step explanation:

The amountt of sugar and salt would be x and 2x

x+2x=45x

so sugar solution =15 and salt solution =30

ratio =2:1 then sugar =30 salt =15

The amount of sugar solution to be added =30-15=15

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

[tex]H_0: p = 0.5[/tex]

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

[tex]H_1: p > 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5[/tex]

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that [tex]n = 100, X = \frac{60}{100} = 0.6[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]z = 2[/tex]

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

Answer:

58kg, 70kg and 72kg

Step-by-step explanation:

Starting weight was 200.

Boy 1- Changed from 200 to 142. 200kg - 142kg= 58 kg

Boy 2- Changed from 142 to 72.  142kg- 72kg = 70kg

Boy 3- Last one on the scale and it showed 72kg so his weight is 72kg

Answer:

58, 70, 72

Step-by-step explanation:

200-142=58

142-72=70

Answer:

8 hectáreas por día

Step-by-step explanation:

72 hectares en 9 días por eso divides 72 por 9 para encontrar la repusta es 8

¡Espero que esta te ayudar! :)

(y sí, hablo un poco de español porque he aprendido desde el primer grado)

Its ‘B’

100% sure

Plz mark me brainliest

Answer:

a=-4

Step-by-step explanation:

3(a+2)=-6

3a+6-6=-6-6

3a/3=-12/3

Answer:

7 yards

Step-by-step explanation:

Answer:

Improved climate for foreign investment

Step-by-step explanation:

I just took the test gs

Answer:

∅ = 10.9º

Step-by-step explanation:

tan = opp/adj = 250/1300

∅ = arctan250/1300

use calculator

∅ = 10.9º

Answer:11.50

Step-by-step explanation:

Answer:

150 pages

Step-by-step explanation:

want to read 2,000 pages

already read 1,250 pages

Number of pages left to read

= 2000-1250

= 750

Rest of the reading spread over 5 weeks

wants to read same number of pages each week

Number of pages that need to be read each week over 5 weeks

= Number of pages left to read / total number of weeks

=750 / 5

= 150

He will need to read 150 pages a week.

Answer:

a) i) P( final product is acceptable ) = 3/5

   ii) P ( final product not acceptable ) =  2/5

B)  P (  final product is acceptable | X =2 ) = 2/5

C)  P ( Y = 3 | Final product is acceptable ) = 2/5

Step-by-step explanation:

Given data :

5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)

Number of components produced = 2

X ( component 1 ) ∴ P(X) = 1/5

Y ( component 2 ) ∴ P(Y) = 1/5

Aim : Sum of Final product needs to be ≥ 6

A) Probability of a final product been acceptable and also unacceptable

P( final product is acceptable ) ; P(X + Y ≥ 6 )

= 1/5 ∑ P( Y ≥ 6 - x )

= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )

= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )

= 3/5

P ( final product not acceptable ) = 1 - 3/5 = 2/5

B) P (  final product is acceptable | X =2 )

 ∴ P ( Y ≥ 4 )

   = 2/5

C) P ( Y = 3 | Final product is acceptable )

∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 )  ( because they are not independent )

  = 1 - 3/5 = 2/5.

Answer:

? = 27

Step-by-step explanation:

56 + ? + 11 = 94

? + 67 = 94

? = 27