A coach asked her athletes if they enjoy running. Fifty-five percent of the team do not like to run. Of those, 70% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.


The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.


What is the total percentage of the athletes who enjoy cycling?


9%

25.5%

55%

74.5%

Answers

Answer 1

Answer:

75%

Step-by-step explanation:

To determine the total percentage of athletes who enjoy cycling, we need to consider the percentages given in the problem.

According to the information provided:

55% of the team does not like to run.

Of those who do not like to run, 70% enjoy cycling.

Of those who enjoy running, 80% also enjoy cycling.

To calculate the total percentage of athletes who enjoy cycling, we need to consider the percentages from both branches of the tree diagram.

Percentage of athletes who do not like to run and enjoy cycling:

= (Percentage of athletes who do not like to run) * (Percentage of those who enjoy cycling within that group)

= 55% * 70% = 38.5%

Percentage of athletes who enjoy running and enjoy cycling:

= (Percentage of athletes who enjoy running) * (Percentage of those who enjoy cycling within that group)

= (100% - 55%) * 80% = 45% * 80% = 36%

Total percentage of athletes who enjoy cycling:

= Percentage of athletes who do not like to run and enjoy cycling + Percentage of athletes who enjoy running and enjoy cycling

= 38.5% + 36% = 74.5%

Therefore, the correct answer is:

74.5%


Related Questions

(a) 3.2% of 360 (b) 2.7% of 90 (c) 12.8% of 240 (d) 0.8% of 450 (e) 0.5% of 500 (f) 0.25% of 320

Answers

Answer:

listen i would do this for u bit i gtg so what u can do is:

Step-by-step explanation:

time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them

change percentages to decimals
a) 0.032 x 360=11.52
b) 0.027 x 90= 2.43
c) 0.128 x 240= 30.72
d) 0.008 x 450= 3.6
e) 0.005 x 500= 2.5
f) 0.0025 x 320= 0.8

The mayor of a small town is trying to determine the change in population of his town over time. Which type of graph would best represent the data in the table? Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650 bar graph line graph line plot stem and leaf plot

Answers

Answer:

I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.

Step-by-step explanation:

It shows the population of each year.

Hope this helps...

Please mark me brainliest ♥️

Answer:

line graph

Step-by-step explanation:

edge 2022

Same directions as question #1

Sn = ( -1 )n + 1

Answers

The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

How to depict the information?

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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solve for x please

4 / x • 26 / 2

Answers

Answer:

x = 3.25

Step-by-step explanation:

Use the Rule of 3 to solve this

Work in picture

solve for x please4 / x 26 / 2

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.

If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.

Answers

Answer:

The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:

standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7

To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:

z = (37.4 - 40) / (8 / 7) = -1.225

Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.

give thanks, your welcome <3

Step-by-step explanation:

which number has a 9 with a value ten times greater than the 9 in 4 903

Answers

Answer:

49030

Step-by-step explanation:

we multiply it by ten so

4903×10=49030

to prove triangleABC is isosceles, which of the following statements can be used in the proof?
(idk the answer)

to prove triangleABC is isosceles, which of the following statements can be used in the proof?(idk the

Answers

Answer:

Step-by-step explanation:

An isosceles triangle is a triangle in which two of its sides are equal. This also means that in the triangle, two angles are equal. The angles are usually the base angles. Looking at the given triangle ABC, the base angles are angle Angle A and Angle B, thus angle A = ang B

Therefore, the statement that can be used in the proof is

Angle CAB = angle CBA

Write the equation of the line in slope-intercept form that has a slope of 3 and passes through (5, -1)

Answers

Answer:

y = 3x - 16

Step-by-step explanation:

In this question, we have to write an equation in slope-intercept form with the given information.

Slope-intercept form: y = mx + b

We already know our slope: 3

However, we don't know what are y-intercept (b) is.

To find this, plug the given information in the equation and solve for b:

-1 = 3(5) + b

-1 = 15 + b

Subtract 15 from both sides.

-16 = b

This means that our y-intercept will be -16.

Now, plug in our new information to the equation:

y = 3x - 16

The equation y = 3x - 16 will be your answer.

Answer:

y = 3x - 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope: 3

Points: (5, -1)

y = 3x + b

-1 = 3 ( 5 ) + b

-1 = 15 + b

b = -16

y = 3x - 16

How much interest is earned on $250 at 10% for five years

Answers

$154.63

Year 1: $25
Year 2: $27.5
Year 3: $30.25
Year 4: $33.28
Year 5: $36.60

expanded form :32,456​

Answers

Answer:

30,000 + 2,000 + 400 + 50 + 6

Step-by-step explanation:

\(\text{The expanded form of 32,456 would be 30,000 + 2,000 + 4,000 + 50 + 6.}\)

\(\text{We would have to identify what each number stands for.}\)

\(\text{For example, 3 in 32,456 stands for 30,000.}\)

\(\text{Hence, following this rule, we can conclude that the answer above is correct.}\)

\(\text{I hope I helped you suceed!}\)

(2x+6yx)-(12ay+-6y) pls helpp pls

Answers

The required, simplified expression is 2x - 6y(2a - x) + 6y.

To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.

2x - 6y(2a - x) + 6y.

Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:

2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
                           = 2x - 6y(2a - x) + 6y

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-5(c+4) +25+7c please hurry

Answers

Answer:

2c + 5

Step bu step:

N/A

If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)

Answers

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

How to calculate the sample mean for the set of data?

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard

Convert the measurement as indicated.
450 in to yards
450 in =
|yd (Type
an
integer or a decimal.

Answers

Answer:

Step-by-step explanation:

There are 36 inches in a yard.

1 /36  = x / 450    Multiply by 450

450/36 = x

x = 12.5 yards.

Samantha is comparing scooter prices with two different DC scooter companies. With the UBER scooters, the equation c = 1.80m gives the relationship between m, the number of minutes per ride, and the total cost, in dollars. With the LYET scooters, the cost of 5 minutes is $3.75 and the cost of 10 minutes is $7.50. If Samantha rides for 12 minutes, how much money would she save by renting the less expensive scooter? Explain your reasoning. ​

Answers

Answer:

yes!

Step-by-step explanation:

12y + 8 - 4 + 12y simplified.

Answers

Answer:

24y + 4

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

\(12y + 8 - 4 + 12y \)

take 12 y in right hand side

\(12y + 12y + 8 - 4\)

\(24y + 4\)

Hope it will help you

have a nice day

NEED HELP! MATH 256 SQUARED!15 PTS ONE BRAINLYIST

Answers

Answer:

bxhebgrbf brcjfrbv5nk

Step-by-step explanation:

I think the answer is 65,536! Please tell me if I’m wrong!

What is the domain of the square root function graphed below?

On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3).
x less-than-or-equal-to negative 1
x greater-than-or-equal-to negative 1
x less-than-or-equal-to 0
x greater-than-or-equal-to 0
Mark this and return

Answers

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answering questions for you to help me please

Answering questions for you to help me please

Answers

Answer:

3) 49*x^2*y^2

4) x

5) 1

6) 8

Step-by-step explanation:

3).  ( 7xy)^2

=. 7^2 * x^2 * y^2

= 49*x^2*y^2

4). x^3 / x^2

=  x

5). 7^0

=.  1

6). 8x^0

= 8

When Lisa started at her current job, her employer gave her 3 days of paid vacation time with a promise of 2 additional paid vacation days each additional year she remains with the company to a maximum of 20 days of paid vacation time. It has been 5 years since Lisa began working for this employer. How many paid vacation days has she earned?

Answers

Answer:

13 days

Step-by-step explanation:

She starts with 3

She gets 2 for each year with the company

She has been their 5 years

5*2 = 10

10+3 = 13

The total number of paid vacation days after working for 5 years is 13 days.

Linear Equation

The equation having the highest power of its variable as 1 is called a linear equation.

How to form a linear equation based on given situations?

Let the total number of paid vacations be y.

And the number of years Lisa worked for the company be x.

The fixed paid vacation is for 3 days.

The number of additional paid vacation days for each additional year is 2 days.

So, the linear equation formed is,

y = 2x + 3 ... (i)

How many paid vacation days has she earned after 5 years?

Put the value of x = 5 in the equation (i),

y = 2(5) + 3

y = 10 + 3

y = 13

Hence, the number of paid vacation days earned by Lisa after 5 years of working is 13 days.

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Please tell me the answer to this

Please tell me the answer to this

Answers

Answer:

43

Step-by-step explanation:

Which set of values could be the side length of a 30 60 90 triangle? A. {5,5v3,10}

Answers

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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Which equation describes the line that goes through the point (- 5, 1) and has a slope of 1? A. y + 1 = x - 5 B. y + 5 = x - 1 C. y - 1 = - 5(x - 1) D.y y - 1 = x + 5

Answers

Answer:

D) y - 1 = x + 5

Step-by-step explanation:

(-5,1)

y - 1 = x + 5 ---> 1-1= -5-5

1-1= -5-5

 0=0

The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.

How to find the slope of the line?Use the formula m = (y2 - y1) / to calculate its slope (x2 - x1). The point-slope form of a line can be used to solve the following equation: y - y1 = m(x2 - x1) (x2 - x1).Ascertain the coordinates of two line points. Determine the y-coordinate difference between these two points (rise). Determine the difference in x-coordinates between these two points (run).Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.The slope of a line is characterized as the change in y coordinate in relation to the change in x coordinate. The net change in the y-coordinate is represented by y, while the net change in the x-coordinate is represented by x.

Therefore,

y - 1 = x + 5

(-5,1)

y - 1 = x + 5 ---> 1 - 1 = -5 - 5

1 - 1 = -5 -5

0=0

Hence, The equation y - 1 = x + 5 is the line that passes through the point (- 5, 1) and has a slope of 1.

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Anu was checking her emails she casually told her friend siting next to her the ratio of unread emails in my inbox is 4:1 The total number of emails is 120 what is the number of unread emails in her inbox

Answers

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

How can the unread mails be calculated?

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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To build a computer, Tom needs to buy a motherboard for £ 120, and a CPU for
£ 100.Then find the total cost of building 10 computer ?

Answers

Answer:

£2200

Step-by-step explanation:

1 computer = £120 + £100

1 computer = £220

10 computers = £220 x 10

10 computers = £2200

Which ordered pair makes both inequalities true?
y> -3x +3
y22x-2
O (1,0)
O (-1,1)
O (2,2)
O (0,3)

Answers

None of the ordered pairs (1, 0), (-1, 1), (2, 2), and (0, 3) make both inequalities true.

To determine which ordered pair makes both inequalities true, we can substitute the given values into the inequalities and check for validity:

1. (1, 0):

  For y > -3x + 3: 0 > -3(1) + 3 -> 0 > 0, which is not true.

  For y < 2x - 2: 0 < 2(1) - 2 -> 0 < 0, which is not true.

  Therefore, (1, 0) does not satisfy both inequalities.

2. (-1, 1):

  For y > -3x + 3: 1 > -3(-1) + 3 -> 1 > 6, which is not true.

  For y < 2x - 2: 1 < 2(-1) - 2 -> 1 < -4, which is not true.

  Therefore, (-1, 1) does not satisfy both inequalities.

3. (2, 2):

  For y > -3x + 3: 2 > -3(2) + 3 -> 2 > -3, which is true.

  For y < 2x - 2: 2 < 2(2) - 2 -> 2 < 2, which is not true.

  Therefore, (2, 2) does not satisfy both inequalities.

4. (0, 3):

  For y > -3x + 3: 3 > -3(0) + 3 -> 3 > 3, which is not true.

  For y < 2x - 2: 3 < 2(0) - 2 -> 3 < -2, which is not true.

  Therefore, (0, 3) does not satisfy both inequalities.

None of the given ordered pairs satisfy both inequalities simultaneously.

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What is the multiplicative rate of change of the
function?

Answers

Answer:

the multiplicative rate of change for the exponential change is 3

Step-by-step explanation:

Tell whether the product of Prxs and Q5x3 is defined. If so, give the dimensions of PQ.

undefined
defined; 7 x3
defined; 3 x 7
defined; 5 x 5

Which graph is generated by this table of values?
PLS HURRY




Which graph is generated by this table of values?PLS HURRY

Answers

Use two points to find the slope

Answer:

The first graph.

Step-by-step explanation:

You can see on the first graph that all of the y values and x values add up with what you need.

Drawing a number divisible by 3 then drawing a 1

Answers

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

.54 oz of premium walnuts costs $12.95. what is cost per ounce

Answers

The cost per ounce of the premium walnut is $0. 23

What is proportion?

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

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