Look at the image!

iready

Answer:

Step-by-step explanation:

[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]

The probability of students who plays both basketball and baseball is 2/13

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of students who plays basketball and baseball = n ( A ∩ B )

Let the number of students who plays basketball be = n ( A )

The value of n ( A ) = 21

Let the number of students who plays baseball be = n ( B )

The value of n ( B ) = 7

Now , 2 students does not play any sports out of the 26 students

So , n ( A ∪ B ) = 26 - 2

n ( A ∪ B ) = 24

Now , from the set theory formula ,

n(A∪B) = n(A) + n(B) - n(A⋂B)

Substituting the values in the equation , we get

24 = 21 + 7 - n ( A ∩ B )

Adding n ( A ∩ B ) on both sides , we get

n ( A ∩ B ) + 24 = 28

Subtracting 24 on both sides , we get

n ( A ∩ B ) = 4

So . the number of students who plays both basketball and baseball = 4

And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students

Probability that the student chosen plays both basketball and baseball
= 4 / 26

= 2 / 13

Hence , The probability of students who plays both basketball and baseball is 2/13

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Answer:

339.12 cm²

Explanation:

surface area of cone: πr² + πrl

where "r" is radius, "l" is slant height

Here given:

Solve for surface area:

So

TSA

Answer:

the perimeter is the width added to the length

If the height of a right triangular prism is 1 5/6 inches. The surface area of the solid formed is: 598.33 in².

First step

Right triangular prism=1 5/6 inches= 11/6 inches

Height of the base=8 2/3 inches = 26/3 inches

Second step

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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The graph can be seen at the end, and the piecewise function for the part above the x-axis is:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

First, we need to graph both functions, so we can see when each one is positive, the graphs of:

y = x^2 - 4

y = 4 - x^2

Can be seen at the end.

So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)

So for the part of the function above the x-axis we have a piecewise function:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

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Answer:

y= |x^2-4|

Step-by-step explanation:

Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

Answer:

47/6cm or [tex]7\frac{5}{6}[/tex]cm

Step-by-step explanation:

FE= [tex]2\frac{2}{3}[/tex]

FA= 5/12

AB= 2/3

CD=2

ED=[tex]1\frac{1}{4}[/tex]

BC= 5/6

All=47/6 or [tex]7\frac{5}{6}[/tex]

Answer:

a = 84/14

Step-by-step explanation:

The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14

Answer:

I can only answer b but I hope it helps

B = £75,400

Explanation:

10% is £6500

6 % is £3900

=£10,400

+the original pay

=£75,400

That is her new salary

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

Answer:

D

Step-by-step explanation:

The interval notation for the graph :

Answer:

550 sq. cm

Step-by-step explanation:

Attached above (answer):-

Answer:

132:198:330

Step-by-step explanation:

You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)

Answer:

132$ ,198$, 330&

Step-by-step explanation:

2+3+5=10

2/10×660$

=132$

3/10×660$

=198$

5/10×660$

=330$

Answer:

9000 in³

Step-by-step explanation:

Small cube:

Volume = length x width x height

= 10 x 10 x 10 = 1000 in³

Big cube:

width (front) = 20

length (side) = 10 + 10 = 20

height (back) = 10 + 10 = 20

V = 20 x 20 x 20 = 8000 in³

Total volume: 1000 + 8000 = 9000 in³

Answer:

5/8

Step-by-step explanation:

Step-by-step explanation:

5x - 3y + 4 = 0

we rearrange it to look like this:

y = mx + c

3y = -4 - 5x

we can also write it like this so it rhymes with the formula

3y = -5x - 4

y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).

Soo..

y = -5x/3 -4/3

y = mx. + c

so

m = -5/3

c = -4/3.

Hope this helps.

Good luck ✅.

[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        Work out m and c for the line 5x-3y+4=0.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We can't determine the slope (m) and the y-intercept (c) yet, so we need

to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].

[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-

[tex]\dagger[/tex] Next, divide by -3 on both sides:-

[tex]\bigstar[/tex] A negative divided by a negative is a positive.

[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-

And the y-intercept is:-

[tex]\rule{300}{1}[/tex]

Part A

y-intercept: 3

It represents that after 0 months practice, the number of matches won is 3.

Part B

slope intercept form: y = mx + b

Here to find slope,

take two points: (5, 12), (0, 3)

[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]

Equation:

y - y1 = m(x- x1)

y - 12 = 1.8(x - 5)

y = 1.8x - 9 + 12

y = 1.8x + 3

To find Matches won after 13 months

insert x = 13

y = 1.8(13) + 3

y = 26.4 ≈ 26 matches

The team could have won 26 matches after 13 months practice.

Answer:

See below ~

Step-by-step explanation:

Part A :

Part B :

Forming the equation :

Predicting how many matches can be won with 13 months of practice :

Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.

You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.

Assuming x is 100:

= -1.026x² + 1,016.402x - 162,075

= (-1.026 x 100²) + (1,016.402 x 100) - 162,075

= -$70,694.80

Assuming x is 400:

= -1.026x² + 1,016.402x - 162,075.

= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.

= $80,325.80

These figures are very close to the actual y values given which makes this the best model.

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Answer:  A. y = –1.026x2 + 1016.402x – 162075

Step-by-step explanation:

Answer:

24 pieces of glass

Step-by-step explanation:

Answer:

54.59

Step-by-step explanation:

carry the 10 over and 1-.41 is .59

Answer:

x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)

Step-by-step explanation:

^^^
See answer, pretty simple.

So

equation

So equation

The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.

Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).

These points satisfy by the equation

y= 60/x

and,

If we input the value of x into the equation,

y= 60/6

= 10 lbs of force.

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Answer:

Keep it simple: answer 10

Step-by-step explanation:

The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.

In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

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Answer:

Step-by-step explanation:

The variance of the data set is 0.43.

The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.

The first step is to determine the mean: (0.40 + 0.72 +  1.15 + 2.14) / 4

= 4.41 / 4= 1.10

The second step is to subtract the mean from each of the data point and square the difference:

Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43

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Answer:

I think the full amount was $a18.50

Answer:

h=3

Step-by-step explanation:

Here's the explanation

Move 10 to the other side

5h=25-10

5h=15

h=15/5

h=3

10+5h=25

10+5h-10=25-10

5h=15

[tex]\frac{5h}{5}=\frac{15}{5}[/tex]

h=3

the answer is 3