There are 21 boys and 7 girls in your gym class. Your teacher selects 2 students at random to be team leaders for a game. What is the probability that both students are girls?

A: 17/36 c: 1/2
b: 1/16 d:1 /18

Answer:

I choose 1 and multiplied by 3 and then by 4 so that is 7. 7squared is 49

Answer:

(3x+4)(3x-4)

Step-by-step explanation:

3 * x= 3x

3x + 4

(3x+4)(3x-4)

Answer:

25?

Step-by-step explanation:

sorry if im wrong

Answer:

Number of miles is either less than 8255.25 or greater than 17255.25.

Step-by-step explanation:

Given that :

Difference in mileage of the sedan and minivan is > 4500

Mikeage of minivan = 12755.25

Possible number of miles on the sedan :

Mileage on minvan ± difference in mileage ;

12755.25 ± 4500

12755.25 + 4500 = 17255.25

12755.25 - 4500 = 8255.25

This means that the possible number of miles on the sedan is either greater than 17255.25 OR less Than 8255.25

Answer:

x=0.469396

Step-by-step explanation:

x−(−3x3−x2+1)=−3x3−x2+1−(−3x3−x2+1)

3x3+x2+x−1=0

Step 2: Use cubic formula.

x=0.469396

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515

Answer:

the third one

Step-by-step explanation:

8/10 = 0.8

Therefore, 0.8 (8/10) is put on the number line shown below.

Answer:

yeah i think they are all right :)

Step-by-step explanation:

Answer:

9 runners

Step-by-step explanation:

Number of runners who started race = 45

Fraction that dropped off in the first half =. 2/3

Fraction of the remaining that dropped of in the second half = 2/5

Number of runners who dropped off in the first half :

(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners

Runners left = (45 - 30) = 15

Number who dropped off in the second half :

(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners

Number of runners who finished the race :

(15 - 6) = 9 runners

Answer:

[-2, infinite)

Step-by-step explanation:

range of the graph will be [-2, positive infinite)

Answer:

[tex]Area = 34.2cm^2[/tex]

Step-by-step explanation:

Let the three sides be a, b and c respectively.

Such that:

[tex]a = 8[/tex]

[tex]b = 9[/tex]

[tex]c= 10[/tex]

Required

Determine the area

This is calculated as:

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

Where

[tex]s = \frac{1}{2}(a + b + c)[/tex]

Substitute values for a, b and c

[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]

[tex]s = \frac{1}{2}(27)[/tex]

[tex]s = 13.5[/tex]

Substitute values for a, b, c and s in

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]

[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]

[tex]Area = \sqrt{1169.4375[/tex]

[tex]Area = 34.2[/tex] -- Approximated

Answer : The curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Step-by-step explanation :

As we are given that:

Diameter of solid cylinder = 8 cm

Length or Height o solid cylinder = 140 cm

Formula used to calculate the curved surface area of cylinder is:

Curved surface area of cylinder = [tex]2\pi r\times h[/tex]

where,

r = radius of cylinder

h = height or length of cylinder

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{8cm}{2}=4cm[/tex]

Now putting all the given values in above formula, we get:

Curved surface area of cylinder = [tex]2\times \frac{22}{7}\times 4cm\times 140cm[/tex]

Curved surface area of cylinder = [tex]3520cm^2[/tex]

Therefore, the curved surface area of solid cylinder is [tex]3520cm^2[/tex]

Given:

Diameter of a solid cylinder = 8cm

Length (height) of cylinder = 140 cm

To find:

The curved surface area of the cylinder.

Solution:

We have,

Diameter = 8cm

Radius = [tex]\dfrac{8}{2}=4\text{ cm}[/tex]

Height = 140 cm

Curved surface area of a cylinder is

[tex]CSA=2\pi rh[/tex]

where, r is radius and h is height.

Putting r=4 and h=140 in the above formula, we get

[tex]CSA=2\times \dfrac{22}{7}\times 4\times 140[/tex]

[tex]CSA=2\times 22\times 4\times 20[/tex]

[tex]CSA=3520[/tex]

Therefore, the curved surface area of the cylinder is 3520 square cm.

Answer:

1 4/15 balls

Step-by-step explanation:

From the question, we are told that:

Chase caught 2/3 of the balls hit to left field.

Ryan caught 3/5 of the balls hit to right field.

The Lowest common denominator for both fraction is given as 15

Hence, the equivalent fractions for each boy is calculated such that the denominators of both fraction is 15

For Chase:

We Multiply both numerator and Denominator by 5

2 × 5 /3 × 5 = 10/15

2/5 = 10/15

For Ryan

We Multiply both numerator and Denominator by 3

3 × 3 /5 × 3 = 9/15

3/5 = 9/15

The total amount of the balls they both caught is:

10/15 + 9/15

= 19/15 = 1 4/15

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer:

.60 I think

I hope you get it right

Answer:

1. 2m - n + 2

Step-by-step explanation:

12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)

48m - 24n + 48.

2m - n + 2. (by finding common factor 24)

Answer:

x = 10

Step-by-step explanation:

2(1/2(5x) - 15 = 10)

5x - 30 = 20

5x = 50

divide by 5

x = 10

Answer:

2x-9y=-27

Step-by-step explanation:

hope this helps. :)

Answer:

hii

Step-by-step explanation:

Answer:

slope: -2

Step-by-step explanation:

Answer:

f(x) = -x + 2x + 5

is odd since f(x) = -5

f(x) = x + 8x

is neither because f(x) = 0

f(x) = -7x² + 5

is odd since f(x) = √5/7

f(x) = 5x + 3x? – 7x + 1

is odd

Answer:

x + 3 with the remainder of -9

Step-by-step explanation:

       ___x__+__3_____

x + 4 | X^2 + 7x + 3

          - (x^2 + 4x)

                       3x + 3

                      -(3x + 12)

                                -9

So the answer is x + 3 with the remainder of -9

Answer:

The answer is below

Step-by-step explanation:

A linear function is a function in the form y = mx + b, where y and x are variables, b is the y intercept (value of y at x = 0) and m is the slope (rate of change).

Let x represent the year and y represent the amount of rainfall in inches. The linear function can be gotten by selecting any two pair of points from the table in the form (x, y).

Let us use the points (2004, 62.33) and (2007, 60.74). The equation is gotten using:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-62.33=\frac{60.74-62.33}{2007-2004}(x-2004) \\\\y-62.33=-0.53(x-2004)\\\\y-62.33=-0.53x+1062.12\\\\y=-0.53x+1124.45[/tex]

The graph is plotted using geogebra.

The average rainfall from 2004 to 2013 is 59.945

Given data of rainfall:

2004    62.33

2005    61.8

2006    61.27

2007    60.74

2008    60.21

2009    59.68

2010    59.15

2011     58.62

2012    58.09

2013    57.56

it is the sum of all the observations divided by the total number of observations.

average rainfall A

(62.33+61.8+61.27+60.74+60.21+59.68+59.15+58.62+58.09+57.56)/10

A= 59.945

thus, the average rainfall from 2004 to 2013 is 59.945

to get more about the average visit:

https://brainly.com/question/20118982

Answer:

x=4

Step-by-step explanation:

2x+3x+1=21

(2x+3x)+(1)=21

5x+1=21

5x+1=21

Step 2: Subtract 1 from both sides.

5x+1−1=21−1

5x=20

Step 3: Divide both sides by 5.

Answer:

x=4

Step-by-step explanation:

2x+3x+1=21

Simplify both sides of the equation.

2x+3x+1=21

(2x+3x)+(1)=21(Combine Like Terms)

5x+1=21

5x+1=21

Subtract 1 from both sides.

5x+1−1=21−1

5x=20

Divide both sides by 5.

5x /5 = 20 /5

x=4

3.100089999. This is is the answer

Answer:

3,100,089,999,998

Step-by-step explanation:

Hope this helped