What is the length of leg s of the triangle below?
45
32
907
4
O A. 16
B. 32
OC. VA
D. 22
E. 4
F. 1.5
SOM

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:

D

Step-by-step explanation:

(the line is a / shape, so the slope is positive)

(the line crosses the y axis at (0,-2))

(using the above information, we can conclude that the equation is y=2x-2)

or

slope = m = rise/run = 2/1 = 2

y=mx+b

y=2x+b

Choose any point on the line) (1,0)

0=2(1)+b

b=-2

y=2x-2

Answer:

180 inches

Step-by-step explanation:

25 inches per minute

in 1 hour (60 minutes) :

25*60 = 1500

28 inches per minute

in 1 hour (60 minutes) :

28 * 60 = 1680

1680-1500 = 180

Answer:

94 marbles

Step-by-step explanation:

4512/48 = 94

Answer:

Step-by-step explanation:

Because it is a 45-45-90 triangle

b=5

a= 5[tex]\sqrt{2}[/tex]

Answer: -4 is slope

Step-by-step explanation:

formula is y2-y1/ x2-x1

8-4=4

6-7=-1

4/-1= -4

Answer:

137.16

Step-by-step explanation:

we have a formular of the area of a sector:

S= pi*(its angle)/360*R^2

so apply to it

S= pi*(93/360)*13^2=137.16

Answer:

Letter A is your answer

Step-by-step explanation:

mark me brainliest

The height of the cylinder is 6 units.

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

Given that, the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.

Volume = π × radius² × height

Let the height of 3x then the radius will be x,

24π = π × x² × 3x

24 = 3x³

x = ∛8

x = 2

Therefore, height = 6

Hence, the height of the cylinder is 6 units.

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Answer:

17) You need a time line for question.

18) 100

19) 5 to the 4th power

9514 1404 393

Answer:

Step-by-step explanation:

I find it convenient to use a graphing calculator to graph the function.

The "start" is x=0, where the distance from the sprinkler head is 0 feet. The value of h(0) is 9.5, the height of the sprinkler head.

The graph shows the vertex of the curve is (5, 34.5), meaning that a height of 34.5 feet is reached 5 feet horizontally from the sprinkler.

The graph shows the x-intercept at about 10.9. That is where the height of the spray is 0 feet above the ground.

Answer:

g=2

Step-by-step explanation:

2 − (7g − 3) = -9

Subtract 2 from each side

2 − (7g − 3)-2 = -9-2

− (7g − 3) = -11

Multiply by -1

− (7g − 3)*-1 = -11*-1

7g − 3 = 11

Add 3 to each side

7g-3+3 = 11+3

7g = 14

Divide by 7

7g/7 = 14/7

g=2

Answer:

2

Step-by-step explanation:

Step-by-step explanation:

V(-2,1)

U(1,3)

E(0,1)

the dilation is by 1/2 so multiply all numbers by a half, hope you pass!!

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

Answer:

y intercept ( 0, 0.4)

x intercept ( 0.3, 0)

Step-by-step explanation:

The y intercept is where is crosses the y axis and the x value is zero

(0, 0.4)

The x intercept is where is crosses the x axis and the y value is zero

(0.3,0)

Answer:

we can find volume of a pyramid when we use this formule: area of triangle*high/3

Step-by-step explanation:

let's we put the data (8*6/2)*7/3= (48/2)*7/3=56

Answer:

Step-by-step explanation:

The rule is that opposite angles are supplementary. Therefore, angle A plus angle C = 180:

angle A + 43 = 180 and

angle A = 180 - 43 so

angle A = 137

Step-by-step explanation:

4m+2g=p

2g=p-4m

g=(p-4m)/2

Answer:

g = p/2 - 2m

Step-by-step explanation:

4m +2g = p

Subtract 4m from each side

4m -4m +2g = p-4m

2g = p -4m

Divide each side by 2

2g/2 = p/2 - 4m/2

g = p/2 - 2m

Answer:

3 minutes

Step-by-step explanation:

If Ms. Selwa can run 1/6 of a kilometer in a minute, she can run 3/6 of a kilometer in 3 minutes.

This is because 1/6 times 3 equals 3/6, which is the distance of the school from her home.

So, it will take Ms. Selwa 3 minutes to run to school.

Answer:

-4= -2/u

or, -4u= -2

or, u= -2/-4

u=1/2

Answer:

B

Step-by-step explanation:

3 x 10 ^17

Which is B

edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.

Then, when doing exponents, heres a rule of thumb.

When adding exponents, the base must be the same.

9.3 ^ 100  +  9.3 ^ 3  =  9.3 ^103

9.3 ^ 29 + 4.4 ^ 54 = cannot be solved

When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.

When dividing exponents, you just subtract exponents. The bases must be the same though of course.

3 ^ 30

----------

3 ^ 20

====  3 ^ 10

When multiplying exponents, you add exponents like normal. Bases are the same ect.

4 ^ 49    x    4 ^ 2   =   4 ^ 51

When doing scientific notation, the same rule applies.

The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.

The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.

Answer:

D)  11

Step-by-step explanation:  

Explanation:  

Segment AC is the midsegment of the trapezoid (since A and C are midpoints of DE and FB respectively)  

This means that AC is the average of the two parallel bases EB and DF  

AC = (EB + DF)/2  

x = (9 + 13)/2  

x = 22/2  

x = 11

The value of x is 11.

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.

In math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:

Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,

(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )

This is known as the midpoint theorem formula.

As,  A and C are midpoints of DE and FB respectively

AC = (EB + DF)/2  

x = (9 + 13)/2  

x = 22/2  

x = 11

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Answer:

Step-by-step explanation:

Answer:

I posted the steps in my photos for an answer.

Answer:

18[tex]\pi[/tex]

[tex]\frac{80}{360} * 81 \pi[/tex]

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Substitute the expressions.

After the first translation, the value of x is (x+n). Put that as the value of x in the second translation.

  x ⇒ x +s . . . . . . . . . the definition of the second translation

  (x+n) ⇒ (x+n) +s . . . the result after both translations

The same thing goes for y. After the first translation, its new value is (y+1).

  y ⇒ y +m . . . . . . . . the definition of the second translation

  (y+1) ⇒ (y+1) +m . . . the result of both translations

Then the composition of A followed by B is (x, y) ⇒ (x +n +s, y +1 +m).

__

The same reasoning applies. After the B translation, the x-coordinate is (x+s) and the y-coordinate is (y+m). Then the A translation changes these to ...

  x ⇒ x +n . . . . . . . . . . definition of translation A

  (x+s) ⇒ (x+s) +n . . . . translation A operating on point translated by B

  y ⇒ y +1 . . . . . . . . . . . definition of translation A

  (y+m) ⇒ (y+m) +1 . . . . translation A operating on point translated by B

The composition of B followed by A is (x, y) ⇒ (x + s + n, y + m + 1).

__

You should recognize that the sums (x+n+s) and (x+s+n) are identical. The commutative and associative properties of addition let us rearrange the order of the terms with no effect on the outcome.

The two translations give the same result in either order.

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 , then the sum of the roots is

α + β = - [tex]\frac{b}{a}[/tex]

Here 2x² - x - 3 = 0 is in standard form

with a = 2 and b = - 1 , then

sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

the vertical line is:

x = 5

The horizontal line is:

y = -9

Step-by-step explanation:

A vertical line has a fixed x-value, while a horizontal line has a fixed y-value.

Then we can write a vertical line as:

x = a

and a horizontal line as

y = b

Then, if we want a vertical line that passes through the point (5, -9), remember that the x-vale will be fixed, then we fix the x-value at the same x-value of the point, which we know that is 5, then the vertical line that passes through the point (5, -9) is:

x = 5

While the horizontal line that passes through the point (5, -9) will be a line with the y-value fixed at the y-value of the point, which we know is -9

Then the horizontal line is:

y = -9