Solve for x. Round to the nearest tenth, if necessary.

Answer:

0.1667 = 16.67% probability that they are both black.

Step-by-step explanation:

The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[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]

In this question:

5 + 4 = 9 balls, which means that [tex]N = 9[/tex]

4 are black, which means that [tex]k = 4[/tex]

2 are chosen, which means that [tex]n = 2[/tex]

What is the probability that they are both black?

This is P(X = 2). So

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667[/tex]

0.1667 = 16.67% probability that they are both black.

Answer:

x^2+10x+24 and x^2+9x-36

Step-by-step explanation:

A) The quadratic equation is (x+6)(x+4)=x^2+10x+24

B) The quadratic equation is (x+12)(x-3)=x^2+9x-36

The required area of the figure is 5 square yards.

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

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Answer:

A. The number of women and the number of men included in the data

Step-by-step explanation:

The boxplot is a useful way to display data. It represents the distribution of data in a five-number summary. These five numbers include the minimum, first quartile, median, third quartile, and maximum. Respectfully, each line on the graph, from left to right, represents one of these numbers. However, because the graph only shows the distribution of data, it does not include the sample size.

Answer:

A, B, B

Step-by-step explanation:

Answer:

profit= sp-cp

loss %= loss ×100%/cp

=(cp-sp) ×100%/cp

= (1-sp)×100%/cp

Answer:

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Step-by-step explanation:

1.)

Let j = Jill's age.

[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]

Therefore, Jill is 11 and Jack is 14.

2.)

[tex]x^2+7x+12\\(x+4)(x+3)[/tex]

Step-by-step explanation:

hope this helps to u......

Answer:

£10.1

Step-by-step explanation:

Highest exchange rate=1.3401

Lowest exchange rate=1.3199

The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1

Step-by-step explanation:

A

9×h - 2

B

the baseline of the triangle is 2 units less than 9 times the height long.

C

h = 1/3

9×1/3 - 2 = 3 - 2 = 1

Answer:

x=7.15

y=0.87

Step-by-step explanation:

First of all u need to let watermelon nd apples x&y. so after that what u have to do is substract the equations.

Answer:

2

Step-by-step explanation:

4(a)+8-a

Combine like terms

4a-a +8

3a+8

Let a = -2

3(-2)+8

-6 +8

2

Answer:

Hello,

Answer B

Step-by-step explanation:

[tex]C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\[/tex]

Answer:

question b do as directed

Step-by-step explanation:

can you say again

Distance formula

[tex]\boxed{\sf AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(6 - 0) {}^{2} + {(8 - 0)}^{2} } \\ \\ \sf\longmapsto \sqrt{ {6}^{2} + {8}^{2} } \\ \\ \sf\longmapsto \sqrt{36 + 64 } \\ \\ \sf\longmapsto \sqrt{100} \\ \\ \sf\longmapsto 10[/tex]

Answer:i think its if the dots are open they arent closed but if they are filled in its closed same with () and [] if its (x,y) then its not able to be used but if its [x,y] then it is able to be used

Step-by-step explanation:

Answer:

11. 40.5

12. 84

Step-by-step explanation:

Answer:

ERROR

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

(n−2) × 180° = sum of the interior angles  where n is the number of sides

There are 6 sides

(6 -2) * 180

4*180

The sum is 720

2x+2x+3x+3x+3x+3x = 720

16x = 720

Divide by 16

16x/16 = 720/16

x = 45

Angle E = 3x= 3(45) = 135

Answer:

=X-2a

= 6- 2× (-7)

= 6 + 14

= 20

✌✌✌✌

Answer:

11%

Step-by-step explanation:

Compound Interest Formula: initial ( 1 + interest rate )^time = final amount

Let compound interest be x

4000(1+x)^3 = 5500

Divide both sides by 4000

4000(1+x)^3 / 4000 = 5500/4000

Cube root both sides

[tex]\sqrt[3]{(1+x)^3} =\sqrt[3]{11/8}[/tex]

1 + x = 2.22398 / 2

1 + x = 1.11199

Minus both sides by 1

1 + x = 1.11199

-1        -1

x = .11199 = 11%

Answer:

bsbsba

anbznzn

Step-by-step explanation:

jajjdjjxj

Answer:

5th option

Step-by-step explanation:

The secant- tangent angle DCB is half the difference of the intercepted arcs, that is

∠ 1 = [tex]\frac{1}{2}[/tex] ( AD - BD)

Answer:

173.4

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

Answer:

x = 63.9

Step-by-step explanation:

Since this is a right triangle, we can us trig functions

cos theta = adj/ hypotenuse

cos 35 = x/78

78 cos 35 =x

x=63.89385

Rounding to the nearest tenth

x = 63.9

Answer:

The markup is 81.25%

Step-by-step explanation:

Take the new price and subtract the original price

58 - 32

26

Divide by the original price

26/32

.8125

Change to percent form

81.25%

The markup is 81.25%

Consecutive years that saw the largest increase in median mode is C. 1998-1999.

Median is the the middle term when data are arranged in ascending or descending order when we have odd number of terms and median is sum of the mean of the middle term and the next term when we have even number of terms.

According to the figure and statement given a bar graph hows the median income for families in the United States from 1993 through 2000.

We have to determine which two years saw the largest increase in median income.

If we observe the graph carefully and go through options we can conclude that 1998-1999 has the largest increase in median income which is of 1500 dollars.

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Answer:

Centre (0,0)

Radius √9 = 3

I've attached a graph if the circle with it

Answered by GAUTHMATH

Answer:

90

Step-by-step explanation:

36/x * 40/100 = 3600/40x

and you get x = 90