There are 9 students in a class: 2 boys and 7 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a girl?

Answer:

Answer = D.) 9, 12, 16

Step-by-step explanation:

Answer:

[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]

Answer:

Decimal:

h = 4.2 ft

Fraction:

[tex]h=4\frac{1}{5}[/tex] ft

Step-by-step explanation:

[tex]\frac{9}{15} :\frac{h}{7}[/tex]

Cross multiply.

h · 15 = 9 · 7

Simplify.

15h = 63

Divide each side by 15.

15h ÷ 15 = 63 ÷ 15

Simplify.

h = 4.2

Answer: it would be four

Step-by-step explanation:

Answer:

x = 9

(5x9) - 1° = 45 - 1 or 44°

Step-by-step explanation:

the little square indicates the angle is a right angle, measuring 90°

therefore, you can solve for 'x' by creating this equation:

46 + 5x-1 = 90

45 + 5x = 90

5x = 45

x = 9

Answer:

can u please send the question again with clear picture of diagram?

Answer:

[tex]MN = \sqrt{14[/tex]

Step-by-step explanation:

Given

[tex]NO = 12[/tex]

[tex]OP = 2.5[/tex]

[tex]OQ = 4.5[/tex]

Required

Find MN

First, we calculate QP using Pythagoras theorem

[tex]OQ^2 = OP^2 + QP^2[/tex]

[tex]4.5^2 = 2.5^2 + QP^2[/tex]

[tex]20.25 = 6.25 + QP^2[/tex]

Collect like terms

[tex]QP^2 = 20.25 - 6.25[/tex]

[tex]QP^2 = 14[/tex]

Take square roots

[tex]QP = \sqrt{14[/tex]

To solve MN, we have:

[tex]MN = OP[/tex]

So:

[tex]MN = \sqrt{14[/tex]

Answer:

5

Step-by-step explanation:

The mean is the average so add up all values of the data points and divide by the amount of data points.

Answer:

11

Step-by-step explanation:

add all the x's to get the total

Answer:

Graph the function.

Step-by-step explanation:

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

[tex]P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278[/tex]

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Answer:

and the question is? I'm confused

Answer:

36

Step-by-step explanation:

12 x 3 = 36

Answer:

Step-by-step explanation:

The k is indicative of movement either up or down, while h is indicative of movement that is either right or left. The blue graph moves both to the right and down to get to the position of the red graph. On the blue graph, locate the point (0, 1). That point moves from a y-location of 1 to a y-location of -2, meaning that it moves down 3 units; therefore, the value of k is -3.

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation:

Answer:b

Step-by-step explanation: pi is irrational so if you add it to something that becomes irrational

Answer:

b

Step-by-step explanation:

Answer:

the slope of the line is 4 and the working is in the attached picture

Answer:

4

Step-by-step explanation:

[tex]\frac{-7 - 1}{-3-(-1)}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

Answer:

The answer is 19.

Step-by-step explanation:

This is because the sequence adds up by 7 each time. Have a nice day!

Answer:

19

Step-by-step explanation:

The sequences are adding 7, so 12 + 7= 19

I hope this helps :D

Answer:

The one on the right. y< -x/2 - 1

Answer:

{x | x < 2 and  x < -4 }

Step-by-step explanation:

Given the inequality 5(x - 2)(x + 4) > 0?

This also means x - 2 < 0 and x + 4<0

For x - 2 < 0

Add 2 to both sides

x - 2 + 2 < 0 + 2

x < 2

Similarlry for x + 4 <0

Subtract 4 from both sides

x+4-4 < 0 -4

x < 0 -4

x < -4

x < 2 and  x < -4

Hence the required solution is {x | x < 2 and  x < -4 }

Answer:

I think its 10 pls dont get mad at me if its wrong.

Step-by-step explanation:

if you see x and then 10 you can see they line up

Answer:

The new center is the point (-x, y)

Step-by-step explanation:

When you reflect a point across the y-axis, the x-coordinate changes to its opposite (additive inverse).

See the attached image for an example.

The circle on the right has center (3, 1).  When reflected across the y-axis, the reflected center is (-3, 1).

Answer:

x = -8, y = 4

Step-by-step explanation:

3x + 3y = -12 (1)

x + 6y = 16 (2)

Multiply (2) by 3

3x + 18y = 48 (3)

3x + 3y = -12 (1)

Subtract (1) from (3) to eliminate x

18y - 3y = 48 - (-12)

15y = 48 + 12

15y = 60

y = 60/15

y = 4

Substitute y = 4 into (1)

3x + 3y = -12 (1)

3x + 3(4) = -12

3x + 12 = -12

3x = -12 - 12

3x = -24

x = -24/3

x = -8

x = -8, y = 4

Answer:

47

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

The common number among the three is 47.

Answer:

Step-by-step explanation: