In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3
students who play an instrument and also play a sport. What is the
probability that a student does not play an instrument given that they play a
sport?

The lower z-score in scenario B suggests that the score of 40 on the exam with a mean of 50 and a standard deviation of 20 should lead to a better grade compared to the score of 55 on the exam with a mean of 60 and a standard deviation of 5. Option B.

To determine which exam score should lead to the better grade, we need to compare the scores relative to their respective mean and standard deviation.

In scenario A, we have a score of X = 55 on an exam with a mean of 60 and a standard deviation of 5.

In scenario B, we have a score of X = 40 on an exam with a mean of 50 and a standard deviation of 20.

To compare the scores, we can use a statistical measure known as the z-score, which indicates how many standard deviations a particular value is from the mean. The z-score formula is calculated as:

z = (X - mean) / standard deviation

Calculating the z-scores for each scenario:

For scenario A:

z = (55 - 60) / 5

z = -1

For scenario B:

z = (40 - 50) / 20

z = -0.5

The z-score represents the number of standard deviations below or above the mean a score is. In this case, a lower z-score indicates a better performance relative to the mean.

Comparing the z-scores, we can see that scenario A has a z-score of -1, while scenario B has a z-score of -0.5. Therefore, scenario B with a score of X = 40 leads to the better grade.

In scenario B, the score of 40 is closer to the mean of 50 and has a smaller deviation from the mean compared to scenario A. This indicates that the score in scenario B is relatively better than the score in scenario A when compared to their respective distributions. Option B is correct.

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9514 1404 393

Answer:

  (c)  more than one

Step-by-step explanation:

The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...

  more than one

Answer:

two angles on the same position on different lines :)

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

Answer:

(10-4)*4+8

=6*4+8

=24+8

=32

Answer:

32

Step-by-step explanation:

Following PEMDAS we first do the stuff in the parentheses and we get [tex]6x4+8[/tex]

Then since there are no exponents, we go straight to doing the multiplication and division, which leaves us with [tex]24+8[/tex].

Finally when we add the last 2 terms together we get our answer of 32.

Hope this helps!

Answer:

Step-by-step explanation:

study lol

Answer:

0.2

Step-by-step explanation:

[tex]\frac{6}{30} =\frac{x}{1} \\\\30x=6\\\\x=\frac{6}{30} \\\\x=\frac{1}{5}[/tex]

1/5 = 0.2

Answer:

the temperature increase is 0.2 degrees per minute

Step-by-step explanation:

Answer:

yes ‐1/16 is rational number

solution ‐1/16=‐16

and every integer is a rational number

Answer:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. So its, 3x+6=108.

Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

Answer:

ok I would give answer that is 85.5mi^2

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (-3,0)[/tex]

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]

[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]

[tex](x,y) = 0.5(0, 0)[/tex]

Open bracket

[tex](x,y) = (0.5*0, 0.5*0)[/tex]

[tex](x,y) = (0, 0)[/tex]

Next, determine the slope of the given endpoints.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 0}{-3- 3}[/tex]

[tex]m = \frac{0}{-6}[/tex]

[tex]m = 0[/tex]

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

In this case:

[tex]m = m_1 = 0[/tex]

So:

[tex]m_2 = -\frac{1}{0}[/tex]

[tex]m_2 = unde\ fined[/tex]

Since the slope is [tex]unde\ fined[/tex], the equation is:

[tex]x = a[/tex]

Where:

[tex](x,y) = (a,b)[/tex]

Recall that:

[tex](x,y) = (0, 0)[/tex]

So:

[tex]a = 0[/tex]

Hence, the equation is:

[tex]x = 0[/tex]

Answer:

B) 194.7 m

Step-by-step explanation:

You use the radius value in the formula 2(pi)r.

2(pi)31 = 194.7

Answer:

= − 1 3

Step-by-step explanation:

8x/8 = -104/8

Brainliest?

Answer:

here you go! i couldnt write it but Goodluck! :)

Step-by-step explanation:

Answer:

I believe that it is C.

Step-by-step explanation:

360x0.15 = 24, 15% is from the given chart...

I am not 100% sure, but I do think that this is right.

The solution is : The weight of an individual who consumes 1,370 calories per day is 137 pound.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given:

1,050 calories should be consumed daily for a 105-pound person.

Now, to get the weight of an individual who consumes 1,370 calories per day.

If 1,050 calories should be consumed per day for = 105-pound person.

So, 1 calorie should be consumed per day for =105/1050

                                                                            =1/10                                                                                

Then, 1,370 calories consumed per day for weight of =1370/10

                                                                                         = 137 pounds

Therefore, the weight of an individual who consumes 1,370 calories per day is 137 pound.

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complete question:

The number of calories needed in a daily diet varies directly as the weight of an individual. If 1,050 calories should be consumed daily for a 105-pound person, what is the weight of an individual who consumes 1,370 calories per day?

Answer:

112 in

Step-by-step explanation:

14 x 8 = 112

Answer:

it would be

B. y + 5 = 2(x + 6)

if there is a negative number and you are subtracting it turns positive

Step-by-step explanation:

Answer:

5x-8=90

Step-by-step explanation:

Thale’s Theorem

5x-8=90

Answer:

Answer:

x=−1.27794

Step-by-step explanation:

x(x−5)2=x2−52

x3−10x2+25x=x2−52

Step 1: Subtract x^2-52 from both sides.

x3−10x2+25x−(x2−52)=x2−52−(x2−52)

x3−11x2+25x+52=0

Step 2: Use cubic formula.

x=−1.27794

Hope it helps +_+

Answer:

78

Step-by-step explanation:

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8b = 56

Simplify the equation, then we have

8b = 56

b = 56 / 8

b = 7

The solution of the equation 8b = 56 is 7. And the solution of Harmony is 448. So, Harmony is incorrect.

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Answer:

(6y+1)(6y-1)

Step-by-step explanation:

Difference of square (You may want to search it up if you want to learn more)

Answer: The length of each side of the tiles is 7.2 in

Step-by-step explanation:

C - 29 Inch as if you go up of 7.

Answer:

x = 16

Step-by-step explanation:

First add all of your angles together to get:

9x + 36

Then set that equal to 180:

9x + 36 = 180

Now solve Algebraically:

Subtract 36 from both sides:

9x = 144

Then divide by 9:

x = 16

The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.

Answer:

A: False

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Velocity is the rate at which an object moves and which way it is going, while speed is just the rate.

Answer:

The answer is "[tex]m \angle ABD = 45^{\circ} \ \ and \ \ m \angle DBC = 45^{\circ}\\\\[/tex]"

Step-by-step explanation:

In this question, the adjacent angles aren't overlapping, and that they have the shared widely and have the common side. There ABC does have the correct angle, which includes two not overlapping ABD and DBC angles with such a joint B vertex and BD lines. Now it is constructed. Thus both angles are not overlapping:  

[tex]m \angle ABD = 45^{\circ}\\\\m \angle DBC = 45^{\circ}\\\\or \ \ \text{the angles will may be} \\\\m \angle ABD = 35^{\circ}\\\\m \angle DBC = 55^{\circ}\\\\[/tex]