3. The high school students who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. Students are 74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis; and 88% likely to tryout for swimming. Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors. What is the probability of the union of trying out for either volleyball or swimming?

a. 1. 15

b. 0. 61

c. 0. 91

d. 0. 24

Answers

Answer 1

The probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

What is condition probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred.

Students of high school who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. In this,

74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis;  88% likely to tryout for swimming.

Let the tryout for volleyball is event A and tryout for swimming is event B. Thus,

P(A)=0.27

P(B)=0.88

Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

Thus, probability of the union of trying out for either volleyball or swimming

P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=0.27+0.88-P(A)*P(B)

P(A or B)=0.27+0.88-0.27×0.88

P(A or B)=0.9

Hence, the probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

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Related Questions

Zahara asked the students in her class their gymnastic scores and recorded the scores in the table shown below:

Gymnastic Scores


Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2


Based on the table, what is the mean gymnastic score?

Answers

Answer:

It would be 3.5

Step-by-step explanation:
1+1+2+6+4+3+2

so the mean is 3.5

1/5 x 1/5 x 1/5 x 1/5

Answers

I believe the answer to be 0.0016

ANSWER FAST, WILL MARK!!!


Answers

Answer:

(2, 3)

Step-by-step explanation:

The solution of two equations on a graph is where they intersect. In this case (2, 3) is the answer.

Answer:

(x,y) = (2,3) so C?

Step-by-step explanation:

=> y = x/2+2

=> y = x + 1

from that info, you can tell y = y, meaning x/2 + 2 = x+1

solving:

=> x/2 + 2 = x + 1

=> 1/2x +2 = x + 1

=> -x             -x

=> - 1/2x + 2 = 1

=> -2                -2

=> -1/2x = -1

=> * 2/-1   * 2/-1

=> x = 2

solve using substitution now:

(let's plug it in to the easiest y = statement)

=> y = x+1

=> y = 2 +1

=> y = 3

(2,3) is your answer

Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g.

Answers

Answer:

Complete the following statements.

The functions f and g have the same axis of symmetry.

The y-intercept of f is greater than the y-intercept of g.

Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.

Answer:

First blank: The same axis of symmetry

Second blank: Greater than

Third blank: Less than

Step-by-step explanation:

PLATO

Please mark Brainliest <( ¨ )

What is the length of ZA? ZA = 3cm ZA = 4cm ZA = 5cm ZA = 6cm

Answers

Answer:

please what is the correct question

Answer: its the last one

Step-by-step explanation:

This figure is divided into triangles. What fraction of the figure is each triangle?

Answers

Answer:

a) 1/8

Step-by-step explanation:

There are 8 triangle in that shape. So, the fraction will be 1/8. Hence, option (a) is the correct answer.

The answer is 1/8 because there is 8 triangles

Need help!
Y=-2x^2-4x+6

Answers

Answer: (1, 0) , (-3, 0)

Step-by-step explanation:

I used an app. T-e-e-h-e-e

The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 48 square inches. Estimate its radius to the nearest tenth

Answers

The radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The area of the circular mouse pad = 48 square inches

The area of the circle:

[tex]\rm A = \pi r^2[/tex]

[tex]\rm 48 = \pi (r)^2[/tex]

Take π = 3.14

r = 3.909 inches ≈ 3.91 inches

Thus, the radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.

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A die is being rolled. Find the probability of rolling less than a 3.​

Answers

Answer:  2/6

Step-by-step explanation:

Probability is nothing but the

number of favourable outcomes / number of total outcomes

The diameter of a circle is 12 centimeters. What is the circle's area?

Answers

BEST ANSWER :

CIRCLE

solve for area

A = 113.1 cm^2

d diameter = 12 cm.

Answer:

Area of circle = π r^2

Step-by-step explanation:

Diameter = 12
Radius = 12/2
           = 6
Area =  π  x 6^2
        =  π  x 36
        = 113.04

therefore the area of the circle is 113.04


i don’t understand how to find x to solve.

Answers

Answer:

X + 3

Step-by-step explanation:

There is no definite working. The first container is what I call the base because everything is a little above the first container, X. They are basically asking you what is the total of the four jars bigger than X. In other words how many steps more to climb before the top floor while you are on the first step. So then you add the other numbers like 0.5 etc which will give you X +3. Hope it helps.

• A. All real numbers
• B. All real numbers except 2
• C. All real numbers except -6
• D. All real numbers except -6 and 2

Answers

Answer:

Option C

Step-by-step explanation:

you cancel the whole parentheses.

So you know, x+6 can't equal to 0.

that's why there is a choice that is all real numbers but not -6.

Answer:

A. All real numbers

Step-by-step explanation:

Given

(x - 2)(x + 6)/7(x + 6) = (x - 2)/7

On cross multiplying,

(x - 2)(x + 6)(7) = (x - 2)(x + 6)(7)LHS = RHSThis means on applying any value for x, both sides will be equalHence, the correct option is A

find the volume pleaseeeee

Answers

I believe it’s 1,080 if you had to multiply 6 x 180
180 cubic inches.
Volume = length * width * height
= 10 * 3 * 6
= 180 cubic inches

Answer Number 2 pleaseeee

Answers

Answer:

Yes

Step-by-step explanation:

The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53

Answers

The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

Evaluating logarithm

From the question, we are to determine the value of log b to the nearest hundredth

From the given information

[tex]log_{5}b = log_{9}48[/tex]

But,

[tex]log_{9}48 =1.76186[/tex]

∴ [tex]log_{5}b =1.76186[/tex]

By one of the laws of logarithm

∴ [tex]b =5^{1.76186}[/tex]

b = 17.0407

Then,

log b = log(17.0407)

= 1.2315

∴ log b ≅ 1.23

Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23

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Answer:

The answer is 1.23

Step-by-step explanation:

Trust me I took the edge quiz 2022

A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M

Answers

Answer:

hope it's helpfull...... ;)

HELP ASAP. Worth 10 points

Judy studied for 7/12 of an hour, and her sister studied for 2/3 of an hour. About how much time did they spend studying altogether?
They studied for half an hour.
They studied for an hour.
They studied for a little less than an hour.
They studied for a little more than an hour.

Answers

Answer:

They studied for a little more than an hour?

Step-by-step explanation:

7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins

which is a little more than an hour, 15 mins more to be precise.

Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet. one foot is the same as 0.3048 meters. which kite has a higher maximum altitude, and how many feet higher is it? a. the black kite has a maximum altitude 74.62 feet higher than the red kite. b. the black kite has a maximum altitude 33.66 feet higher than the red kite. c. the red kite has a maximum altitude 23.11 feet higher than the black kite. d. the red kite has a maximum altitude 7.04 feet higher than the black kite.

Answers

The red kite has a maximum altitude 23.11 feet higher than the black kite.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

1 feet = 0.3048 meters, hence:

117.46 m =  117.46 m * 1 ft per 0.3048 meter = 385.37 feet

Difference in height = 385.37 feet - 362.26 feet = 23.11 feet

The red kite has a maximum altitude 23.11 feet higher than the black kite.

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The temperature was 6° C.
By how much has it fallen if it is now -5° C?

Answers

Answer:

11 °C

Step-by-step explanation:

Initial temperature = 6 °CFinal temperature = - 5°CChange in temperature

= 6 - (-5)

= 6 + 5

= 11 °C

Hope it helps you in your learning process.

Answer:

The temperature has fallen by 11° C.

Step-by-step explanation:

6° C - (-5° C) = 11° C.

Which of the following fall between 12 and 13?

Answers

I don’t see any answer choices so I would think 12.5

I need help with writing the number as a decimal.
The question is
Two hundred thirty eight and forty-nine thousandths

Answers

Answer: 0.23849

Step-by-step explanation:

0.23849

2 is tenth

3 is hundredth

8 is thousandth

4 is ten thousandth

9 is hundred thousandth

I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS

Answers

Answer:

24.3

Step-by-step explanation:

We need to follow the order of operations PEMDAS:

ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)

Carry out the operation in the parentheses first:

   3³ + 14.7 ÷ 7 - (1.2 × 4)

3³ + 14.7 ÷ 7 - 4.8

Now the exponent:

⇒ 3³ + 14.7 ÷ 7 - 4.8

⇒ (3 × 3 × 3) + 14.7 ÷ 7 - 4.8

⇒ 27 + 14.7 ÷ 7 - 4.8

Now, the division (there is no multiplication):

27 + 14.7 ÷ 7 - 4.8

27 + 2.1 - 4.8

Finally, carry out the addition and subtraction (from left to right)

⇒ 27 + 2.1 - 4.8

⇒ 29.1 - 4.8

⇒ 24.3

Image attached:- Solve if you can!

Answers

PEMDAS/BODMAS:
This is a set of rules for order of expressions that is taught to a large number of students at the advance arithmetic and early algebra phases of their schooling. For the expression given in the question it directs:
6/2(1 + 2) = 6/2(3) —Do what is in the parentheses first.
= 6/2(3) — No change because next come handling exponents, of which there are none.
= 3(3) —Do multiplications and divisions in order from left to right.
= 9. —Repeating previous step since there is one division and one multiplication.
There are problems with this set of rules because they were designed for advanced arithmetic and early algebra. They do not handle more advanced expressions. For advanced arithmetic, typically all operations are expressed explicitly, so that 6/2(1 + 2) would not be given, but instead 6/2 × (1 + 2). We will see in the next convention how this distinction can be important, and standard PEMDAS/BODMAS do not distinguish the two expressions

Help me please asap!!! NOTE : PLEASE LOOK AT THE 3 PICTURES & I NEED A EXPLANATION

Answers

Step-by-step explanation:

3/5 - 1/3 = 4 /15

5/6 - 2/3 = 5/6 - 4/6 = 1/6

7/9 - 2/3 = 7/9 - 6/9 = 1/9

5/8 - 1/6 = (15 - 4) /24 = 11/24

(All the above ones I have taken common factor and subtracted them)

5 x 9/10 = 45/10 = 9/2 (simplified)

2/7 x 3 = 6/7

3 x 2/15 = 6/15

4x 2/6 = 8/6 = 4/3 (simplified form)

Hope this helps!!!

2x+4 (2x+7)= 3(2x+4)
solve x​

Answers

given:

[tex]2x + 4(2 x + 7) = 3(2x + 4)[/tex]

to find:

solve the ( x ).

solution:

[tex]2x + 4(2x + 7) = 3(2x + 4)[/tex]

[tex]2x + 8x + 28 = 6x + 12[/tex]

[tex]10x + 28 = 6x + 12[/tex]

[tex]4x + 28 = 12[/tex]

[tex]4x = - 16[/tex]

[tex]x = - 4[/tex]

2x+4(2x+7)= 3(2x+4)

2x+8x+28=6x + 12

10x+28=6x + 12

4x+28=12

4x= -16

x=-4

4) In each of the following figures, find the value of the angles a,b,c,x,y,and z ​

Answers

Step-by-step explanation:

due to the principle of identical angles in parallel lines when intercepted by an inclined line,

y = 49°

the angles above an intersected line are the same as below that intersected line (just mirrored left-right).

and at the bottom, the angles an insecticide line has with one line must be the same as with another line that is parallel to the first line.

so, both indicated angles are the same as the original angle on the top : 49°

write the ratio in the simplest form 40kg : 480g​

Answers

Answer: 1kg : 12g

Step-by-step explanation: Ratio in the simplest form is to divide both numbers by the greatest factor.

40 divided by 40 is 1

480 divided by 40 is 12

The answer is 1 kg : 12g

Find the maximum value on (0, infinity) for f(x)=7x-2xlnx

Answers

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

How to obtain the maximum value of a function?

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.

f(x)=7x-2xlnx

When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.

When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.

f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).

In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,

f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).

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30 POINTS!!!!! HELP QUICK
Find the area of the shaded region.

Use 3.14 for pi.

Answers

The area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

As we know, the area of the circle is given by:

A = πr²

r = 21 in

A = 3.14(21)² = 1384.74 square in

Area of the triangle:

a = (39)(20)/2 = 390 square in

The area of the shaded region = 1384.74 - 390 = 994.74 square in

Thus, the area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.

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Patrick is designing a large stained glass window for the library. If the area of the window is 36 feet, how long is each side

Answers

Divide 36 by 4 sides of the window. = 9 square feet.
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