The ratio of Green marbles to total marbles in a bag is 2 to 9. The ratio of red marbles to total marbles in th same bag is 1 to 3 which of the following statements is true

Answer:

a)0.074

b)0.502

c)0.2114

d)0.0166

e)0.01790

f)0.9987

Step-by-step explanation:

Probability of being left handed = 0.13

Probability of being not left handed = 1-0.13 =0.87

They select a sample of five customers at random in their stores

a. The first lefty is the fifth person chosen

Probability that first lefty is the fifth person chosen =[tex]0.87 \times 0.87 \times 0.87 \times 0.87 \times 0.13=0.074[/tex]

b)There are some lefties among the 5 people=[tex]1-P(x=0)=1-0.87^5=0.502[/tex]

c)The first lefty is the second or third person=[tex]0.87 \times 0.13 + 0.87 \times 0.87 \times 0.13 =0.2114[/tex]

d)

[tex]P(x=3)=^5C_3 (0.13)^3 (0.87)^2=\frac{5!}{3!2!}(0.13)^3 (0.87)^2=0.0166[/tex]

e)

[tex]P(x\geq 3)=P(x=3)+P(x=4)+P(x=5)\\P(x\geq 3)=\frac{5!}{3!2!}(0.13)^3 (0.87)^2+\frac{5!}{4!1!}(0.13)^4(0.87)^1+\frac{5!}{5!0!}(0.13)^5 (0.87)^0=0.01790[/tex]

f)

[tex]P(x\leq 3)=P(x=0)+P(x=1)+P(x=2)+P(x=3)[/tex]

[tex]P(x\leq 3)=\frac{5!}{0!5!}(0.13)^0 (0.87)^5+\frac{5!}{4!1!}(0.13)^1(0.87)^4+\frac{5!}{2!3!}(0.13)^2 (0.87)^3+\frac{5!}{2!3!}(0.13)^3 (0.87)^2=0.9987[/tex]

Answer:

the second one has the grater y nter...

Step-by-step explanation:

Answer:

Well, lets break this down.

If you try to add 26 + 26 it would be 52, which is above 48.

So, we have to find how many books he can read in one month.

All we have to do, is divide!

14 = dividend

26 = divisor

Step 1:

Start by setting it up with the divisor 26 on the left side and the dividend 14 on the right side like this:

26⟌14 Then do the rest, ill wait.

once you have a answer, that is how much he reads a month.

now multiply by 48.

Answer:

63 men said no.

Step-by-step explanation

3/5 * 2/2 = 6/10, 6/10 - 3/10 (women) = 3/10 meaning 7/10 men said no. 90*1.7 = 153, 153-90=63

Answer:

30%. Remember the question is what percentage?

Step-by-step explanation:

Given Informations:

Men = 90

Women = 60

Total number (men + women) = 150.   ...... (1)

For Yes Members,

3/5 of the people said YES.

3/5 of 150 = 90 .......                                        (2)

This means that out of 150, 90 people said YES.

However, we dont know what ratio are men or women all we can deduce is that 90 said YES.

From the question, 3/10 are women that said YES.

Meaning 3/10 of 90 are women = 27. ..                  (3)

27  women said YES therefore

90 -27 = 63  Men said YES.

FOR NO Members,

If 90 out of 150 said yes, then 60 said NO.

However, we dont know the ratio of Men and Women that said NO. What we can do is to solve it from the known to the unknown.

For Men,

The total number is 90.

63 said YES, therefore (90 - 63 ) definitely said NO.

= 27 Men said NO                         (4)

For Women,

The total number of women is 60

27 said YES, Therefore (60 - 27) said NO

= 33 women said NO.      ( 5)

The question is what percentage of Men said NO?

Percentage =

number of men that said NO / The total number of Men  * 100

= 27/90 * 100

=30%

To Prove the Answer

If you agree with Eq 2, which says 90 people said yes. Therefore, (150 -90) = 60 said NO.

Remeber the 60 is inclusive of Men and Women.

Let's see, if we will get 60 when we add the number of men and women we got that said NO.

Add the value in Eq 4 + Eq 5.

27 + 33 = 60.

Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

Answer:

Step-by-step explanation:

parallel angles are equal

3x + 21 = 6x - 60

combine similar terms:

3x - 6x = -60 - 21

-3x = -81

x = 81/3

x = 27

now, plugin the value of x=27 back into the equation to get the angle:

= 3x + 21

= 3(27) + 21

= 102

= 6x - 60

= 6(27) - 60

= 102

as you noticed, both values are equal 102 = 102 because its a parallel angles

so the equation is 3x + 21 = 6x - 60

================================

Answer:

It's C. Since both equations are parallel, that means that there is infinite solutions!

Answer:

No solution

Step-by-step explanation:

solve for the first variable then substitute the result in the other equation

Answer:

1.x=4

2.x=3

3.x=4

4.x=16

5.x=4

6.x=0

7.x=4

Answer:

1. x=4

2. x=3

3. x=4

4. x=16

5. x=4

6. x=0

7. x=3.9

Step-by-step explanation:

Answer:

The answer is -3. Hope that helped

Answer:

???

Step-by-step explanation:

Answer:

The perimeter p of the square is:

[tex]p=4x[/tex]

And in terms of x:

[tex]\displaystyle x = \frac{1}{4}p[/tex]

Step-by-step explanation:

Part A)

We are given a square with side lengths x.

Recall that all four sides of a square are equivalent. Therefore, our perimeter is:

[tex]\displaystyle \begin{aligned} p & = x + x + x + x \\ \\ & = 4x\end{aligned}[/tex]

Part B)

To make x the subject of the equation, divide:

[tex]\displaystyle \begin{aligned} p & = 4x \\ \\ x & = \frac{p}{4} \end{aligned}[/tex]

Answer:

2g

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

find the distance between the two points and divide that by 3 first,

then you estimate the point that is from point A with that 1/3 distance

The coordinate of point C such that point C on AB that is 1/3 the distance from point A to point B is (-3,-2) so option (C) will be correct.

A pair of numbers is used to express a point's position on a coordinate plane using the horizontal and vertical distinctions from the two reference axes. usually represented by pairs of x-values and y-values (x,y).

Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂) is given by

x = [m(x₂) + n(x₁)]/(m + n)

y = [m(y₂) + n(y₁)]/(m + n)

Here m = 1/3 and n = (1-1/3) = 2/3

And coordinates A(–7, –6) and B(5, 6).

So,

x = [ 1/3(5) + 2/3(-7) ]/ 1

x = -3

And,

y =  [ 1/3(6) + 2/3(-6) ]/ 1

y = -2

So (-3,-2) will be the coordinate of point C.

Hence "The coordinate of point C is (-3,-2).

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Answer:

6.8

Step-by-step explanation:

Answer:6.7850 also it's thousandth :)

Step-by-step explanation:

Answer:

4.10

0.17

Step-by-step explanation:

From the question, we know that

A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.

Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.

To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.

On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have

Standard Deviation, S = 1.9101 / √125

Standard Deviation, S = 1.9101 / 11.18

Standard Deviation, S = 0.17

Therefore, the Standard Deviation is 0.17

Answer:

The values are

      [tex]\mu_{\= x } = \mu = 4.10[/tex]

And

      [tex]\sigma _{\= x} = 0.38202[/tex]

Step-by-step explanation:

The  population mean is  [tex]\mu = 4.10[/tex]

 The  standard deviation is  [tex]\sigma = 1.9101[/tex]

  The sample size is  n  =  125 students

Generally the mean of the sampling distribution of the sample mean is equivalent to the population mean

  i.e  [tex]\mu_{\= x } = \mu = 4.10[/tex]

Generally the standard deviation of the sampling distribution of the sample mean alcohol consumption is mathematically represented as

      [tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]\sigma _{\= x} = \frac{1.9101 }{\sqrt{125} }[/tex]

=>    [tex]\sigma _{\= x} = 0.38202[/tex]

Answer:

x > 7

Step-by-step explanation:

First, you start off with :

-8x + 40 > -16

Then you subtract 40 on both sides.

You get -8x > -56.

Next, you divide -8 on both sides. Cancel out the -8/-8.

After dividing,  you have x > 7

Therefore the answer is x > 7!

If you have a question comment it.

Answer:x<7

Step-by-step explanation:

Calculate it on Google

Answer:

160

Step-by-step explanation:

Step-by-step explanation:

Hey there!

Given; 3y - 5(y+2).

Multiply 5 and (y+2)

3y - 5y - 10

Simplify to get answer.

-2y -10

Take 2 and (-) common.

-2(y+5)

Therefore, the simplified form is -2(y+5).

Hope it helps...

Answer:

Step-by-step explanation:

3y - 5 ( y + 2)

= 3y - 5y - 2

= -2y -2

Answer:

The price per year would be $936.36

Step-by-step explanation:

there's a 52 weeks in a year, so divide it by 6 then multiply it by 108.

52/6= 8.67

8.67×108= $936.36

Answer:

√y-6

Step-by-step explanation:

36/6=6

36 is the dividend, 6 is the divisor and 6 is the quotient.

Answer:y^2-6 step by step

Step-by-step explanation:

Answer:

y = -3

Step-by-step explanation:

y = |x| - 4

y = |-1| - 4

y = 1 - 4

y = -3

Answer:

68

Step-by-step explanation:

85/10= 8.5 (sp he's running each km in 8.5 mins)

8.5x8= 68

Answer:

B

Step-by-step explanation:

range = biggest - smallest

121 - 83 = 38

range = 38

the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.

To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.

Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.

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Answer:

To get the new scaled copy length and width just multiply by seven (2x7 & 3x7)

New length would be 14 because it's "seven times" the original size

New width would be 21

Step-by-step explanation:

1.) 14 and 21

2.) 14 divided by 7 will give you 2

and 21 divided by 7 will give you 3

The answer for question 2 would be to divide your new answers (21 and 14) by the scaled factor of 7.

Answer:

Step-by-step explanation:

X+Y=4.25

16.90X+4Y=36.35

That means that;

X = 4.25 - Y

Substituting X into the second equation is;

16.90 * (4.25 - Y) + 4Y = 36.35

‭71.825‬ - 16.90Y + 4Y = 36.35

‭71.825‬ - 12.90Y = 36.35

‭71.825‬ - 36.35 = 12.90Y

Y = ‭35.475‬/12.90

Y = 2.75

X = 4.25 - Y

= 4.25 - 2.75

= 1.5

From the computation done, the value of X is 2.75 and Y is 1.5.

The following information can be depicted:

X + Y=4.25 .... i

16.90X + 4Y=36.35 ..... ii

From equation i

X = 4.25 - Y

We'll substitute X into the second equation and this will be:

16.90(4.25 - Y) + 4Y = 36.35

‭71.825‬ - 16.90Y + 4Y = 36.35

‭71.825‬ - 12.90Y = 36.35

Collect life terms

‭71.825‬ - 36.35 = 12.90Y

Y = ‭35.475‬/12.90

Y = 2.75

Since X = 4.25 - Y

X = 4.25 - 2.75

X = 1.5

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Answer:

Step-by-step explanation:

Given that:

Q1 = 14 − P1 − 0.5P2

Q2 = 19 − 0.5P1 − P2

Recall that:

Profit = Total revenue - Total cost

π₁ = P₁Q₁ MCQ₁

π₁ = P₁(14 - P₁ - 0.5P₂) - Q₁

π₁ = 14P₁- P₁² - 0.5 P₁P₂ - 14 + P₁ + 0.5P₂

π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14

π₂ = P₂ (19 - 0.5P₁ - P₂) - 2(19 - 0.5P₁ - P₂)

π₂ = 19P₁ - 0.5P₁P₂ - P₂² - 38 + P₁ + 2P₂

π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38

The profit functions are π₁  & π₂

The best-response function from firm 1  is;

π₁ = 15P₁ - P₁² - 0.5P₁P₂ + 0.5P₂ - 14

[tex]\mathbf{\dfrac{\partial \pi_1}{\partial P_1}= 15 - 2P_1 -0.5P_2 =0}[/tex]

[tex]\mathbf{P_1= \dfrac{15-0.5P_2}{2}}[/tex]

The best-response function from firm 2  is;

π₂ = 21P₂ - P₂² - 0.5 P₁ P₂ + P₁ - 38

[tex]\mathbf{\dfrac{\partial \pi_2}{\partial P_2}= 21 - 2P_2 -0.5P_1 =0}[/tex]

[tex]\mathbf{P_2= \dfrac{21-0.5P_1}{2}}[/tex]

Here we must find the profit for each one of the two stores.

Remember that profit is defined as the difference between the revenue and the cost.

For La Boulangerie we know that they sell Q1 thousand loaves. Each loaf costs $1. Each loaf is sold by P1

Then the profit is just:

P = Q1*(P1 - $1) = (14 − P1 − 0.5*P2)*(P1 - $1)

Which is already written only in terms of P1 and P2.

Similarly, for the other store we will get the profit:

P' = Q2*(P2 - $2) = (19 − 0.5P1 − P2)*(P2 - $2)

Now we must get their best response, which is given by deriving it with respect to the price and making it equal to zero:

For the first store we have:

dP/dP1 = $1 + 14 - 0.52*P2 - 2*P1 = 0

Now we solve it for P1:

P1 = ($1 + 14 - 0.52*P2)/2

Similarly, for the other store we have:

dP'/dP2 = 19 - 0.5*P1 - 2*P2 + $2 = 0

Solving it for P2 it gives:

P2 = (19 - 0.5*P1 + $2)/2

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Answer:

5

Step-by-step explanation: