What is P(Foreign Language n Sport)?
Answers
Answer:
[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]
Step-by-step explanation:
Given
See attachment for Venn diagram
Required
Determine [tex]P(Foreign\ Language\ n\ Sport)[/tex]
First, we calculate the population of the set.
This is calculated as:
[tex]Total = Sport + Foreign\ Language + None + Both[/tex]
This gives
[tex]Total = 23 + 10 + 3+14[/tex]
[tex]Total = 50[/tex]
So, the required probability is:
[tex]P(Foreign\ Language\ n\ Sport) = \frac{n(Foreign\ Language\ n\ Sport)}{Total}[/tex]
[tex]P(Foreign\ Language\ n\ Sport) = \frac{14}{50}[/tex]
14 represents the intersection between Foreign and Sport i.e. n(Foreign n Sport)
So, we have:
[tex]P(Foreign\ Language\ n\ Sport) = \frac{7}{25}[/tex]
Related Questions
The leaders of two youth sports teams randomly select five members of each team and record their ages, as shown.
• Team A 16, 13, 12, 16, 13
• Team B: 10, 13, 16, 16, 10
Which statement appropriately compares the ages of the team members?
Members of Team A and members of Team B are likely the same average (mean) age.
Members of Team A are likely younger, and they have less variability in their ages.
Members of Team A are likely older, and they have more variability in their ages.
D Members of Team A are likely older, and they have less variability in their ages.
Answers
Answer:
Members of Team A are likely older, and they have less variability in their ages.
Step-by-step explanation:
To solve this question, we need to find the mean and the standard deviation for each team.
Team A 16, 13, 12, 16, 13
The mean is:
[tex]M = \frac{16 + 13 + 12 + 16 + 13}{5} = 14[/tex]
The standard deviation is:
[tex]S = \sqrt{\frac{(16-14)^2 + (13-14)^2 + (12-14)^2 + (16-14)^2 + (13-14)^2}{5}} = 1.67[/tex]
Team B: 10, 13, 16, 16, 10
The mean is:
[tex]M = \frac{10 + 13 + 16 + 16 + 10}{5} = 13[/tex]
The standard deviation is:
[tex]S = \sqrt{\frac{(10-13)^2 + (13-13)^2 + (16-13)^2 + (16-13)^2 + (10-13)^2}{5} = 13} = 2.68[/tex]
Which statement appropriately compares the ages of the team members?
Sample of team A has higher mean age, which means that they are likely older. They also have a smaller standard deviation, so they likely have less variability in their ages.
Need help
Write a variable expression for the word phase
Nine more than a number y
Answers
Answer:
y + 9
Step-by-step explanation:
Answer:
y+9
Step-by-step explanation:
9 more means that you are adding 9 to y. As such, y+9 would mean that you are adding 9 to the number y.
the variables height and weight could reasonably be expected to have a positive linear correlation coefficient, since taller people tend to be heavier, on average than shorter people. Give an example of a pair of variables which you would consider to have a negative linear correlation and explain why. Then give an example of a pair of variables whose linear correlation coefficient is likely to be close to zero
Answers
Answer:
i) Speed and travel time
ii) Coffee and car
Step-by-step explanation:
i) Example of a pair of variable that have a negative Linear correlation
A negative correlated pair of variables simply means that the variables are inversely proportional to each other .and an example of such pair of variables is
Speed and Travel Time
Increase in speed causes a decrease in travel time. ( because the faster a car travels the shorter the travel time spent by the car while the slower a car travels the longer the travel time spent by the car )
ii) Example of a pair of variable with no linear correlation ( almost zero )
A close to zero linear correlation shows that there i no actual relationship between the variables.
Coffee and car
Increase or decrease in the cost of coffee will have no significant effect ( either negative or positive ) on the price of cars in the open market.
A quiz consists of multiple choice questions. each question has 4 possible answers (a-d) and only one answer is correct. if the student guesses the answer to each question, then what is the probability that the student answer correctly for that question?
Answers
Answer:
Answers - 4
Correct Answer - 1
Probability - 1/4
The National Collegiate Athletic Association (NCAA) cares about success for athletes both in their sports and in their education. Imagine a researcher hired by the NCAA wants to know how athletes' academic performance is affected by the stage of their competitive season. She examines performance in the pre-season, throughout the active competitive season, and post-season, having 150 athletes, from across several different sports, assessed during each period. What statistical analysis would be appropriate for this research
Answers
Answer:
a. one-way within-groups ANOVA
Step-by-step explanation:
Here, the research question meets the conditions required for a one-way within group ANOVA. One way within group anova allows for comparison between the mean of three or more groups or levels of one independent variable on a dependent variable. In the scenario above, the one independent variable is stage of the season with levels : (pre-season, throughout active season and post season) and the dependent variable being the athletes academic performance. It is a within group ANOVA as all subjects are used to test each level of the independent variable. Which is different from between groups where different subjects are assigned to different groups.
You have ten box's of ten muffins each, and each muffin has been blueberry. Use an exponent to write an expression for the total number of blueberries
Answers
Answer:
I'm pretty sure it's 10 to the power of 3.
Step-by-step explanation:
How do you find X and Y?
4y + 5z = 60
5x + 3y = 60
4x + 3z = 60
Answers
Answer:
1. y=5 x=8
2. x=9 y=5
3. x=12 z=4
Step-by-step explanation:
1. 4(5)+5(8)=60
2. 5(9)+3(5)=60
3. 4(12)+3(4)=60
Q. What is the area of the parallelogram above?
13cm squared
28.5cm squared
45.6cm squared
40cm squared
Answers
9514 1404 393
Answer:
40 cm²
Step-by-step explanation:
The area is given by the formula ...
A = bh
A = (8 cm)(5 cm) = 40 cm²
__
The length of the slanted side is irrelevant. The height is measured perpendicular to the base.
There are 640 apples in the box if 20% of apples are found to be rotten . How many are good apples ?
Answers
640-128=512
A campaign manager for a political candidate released a series of advertisements criticizing their opponent in an upcoming election. Their opponent previously had the support of 45% of voters, and the campaign manager wants to sample voters to test if support for their opponent has decreased.Let p represent the proportion of voters that support their opponent.Which of the following is an appropriate set of hypotheses for their significance test?
Answers
Answer:
C
Step-by-step explanation:
Khan
Considering that we want to test if the support for the opponent has decreased, the appropriate set of hypotheses for their significance test is given by:
C.
[tex]H_0: p = 0.45[/tex]
[tex]H_1: p < 0.45[/tex]
What are the hypothesis tested?At the null hypothesis, we test if the support for the opponent has not decreased, that is, it still is of 45%, hence:
[tex]H_0: p = 0.45[/tex]
At the alternative hypothesis, we test if the support has decreased, that is, it is less than 45%, hence:
[tex]H_1: p < 0.45[/tex]
Hence option C is correct.
More can be learned about hypothesis tests at https://brainly.com/question/26454209
what is -a^-2 if a+-5?
Answers
Answer: what method? GCF or LCM
Step-by-step explanation:
HELPPP
PLLS
DUE RN
WILL
GIVE BRAINLIST
X
X
X
X
Answers
The correct answer is 14.
A farmer wants to plant soy beans and corn. He wants to plant at least 2 acres of soy beans. He has only $1200 to spend and each acre of soy beans costs $200 to plant and each acre of corn costs $100 to plant. Moreover, the farmer has to get the planting done in 12 hours and it takes an hour to plant an acre of soy beans and 2 hours to plant an acre of corn. The farmer profits $500 per acre of soy beans and $300 per acre of corn. If the farmer wants to maximize his profit, how many acres of each should he plant?
Answers
9514 1404 393
Answer:
4 acres of each
Step-by-step explanation:
Let s and c represent the number of acres of soybeans and corn, respectively. The problem statement gives rise to several constraints. There is also an objective function to maximize. The linear programming problem can be described by ...
maximize 500s +300c subject to ...
s ≥ 2
200s +100s ≤ 1200 . . . . cost to plant
s + 2c ≤ 12 . . . . . . . . . . . . hours to plant
__
The attached graph shows the objective function is maximized at (s, c) = (4, 4).
The farmer should plant 4 acres each of soybeans and corn.
__
For the solution here, the constraint that s ≥ 2 is irrelevant. If the graph included it, the vertices of the feasible solution space would be (2,5), (4, 4), (6, 0) and (2, 0). The solution that maximizes profit is (4, 4).
pls help this stuff is so hard to understand
Answers
Answer:
y = 0.5 (2)^x
Step-by-step explanation:
3rd option
you can plug in a coordinate point like (2, 2) to check this.
Right triangle ABC is shown below.
On a coordinate plane, a line goes through (1, 0) and (3, 5). A triangle has a rise of 5 and run of 2.
Answers
Answer:
sfsvggghsgxfgjgtdghyfys.com
Identify the range of the function shown in the graph.
Answers
Answer:
The answer should be B: -1<y<3
Under his cell phone plan, Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Alexander can use while staying within his budget.
Answers
Answer:
3 gigabytes
Step-by-step explanation:
69.50 dollars + 5 dollars is 74.50 dollars add 5 dollars 79.50 add 5 dollars again and 84.50 Mark brainliest
Inequalities help us to compare two unequal expressions. Alexander can use 3 gigabyte of data to stay within his budget.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given that Alexander pays a flat cost of $69.50 per month and $5 per gigabyte. Therefore, the total amount that Alexander pays in a month for x Gb of data used is,
Total Bill amount = Fixed cost + Variable cost for x Gb of data
= $69.50 + $5x
Now, as Alexander wants to keep his bill under $85 per month. Therefore, we can write the inequality as,
Total Bill amount < $85
69.50 + 5x < 85
5x < 85 - 69.50
5x < 15.5
x < 15.5/5
x < 3.1
Therefore, Alexander can use 3 gigabyte of data to stay within his budget.
Learn more about Inequalities here:
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Tell whether the two figures are similar. Explain your reasoning.
Answers
Answer:
i think its A
Step-by-step explanation:
if its not I'm sorry- um i think this cuz in the first figure where it says 8 its the same height side to side same thing with the 12. the second shape is also doing the same thing. really only thing that differes is the size. the second image is like a smaller version of the first one.
THERE IS 2 QUESTIONS PLEASE HELP ME!
Answers
Answer:
Number 2 is 3:4.
Number 1 is d.
Step-by-step explanation:
Boxers and collies added together gives you 12:16. Divide them both by 4 and you get 3:4.
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The number of student in class 4 (6) divided by the total number of kids in the entire class (18) gives you 0.33333333333. Multiply that by 100 and it gives you 33.3333333333. As a percentage it is 33 1/2 %
The last day of school is in 3 months. Mrs. Fabrizio's birthday is in 10 weeks. What event does Mrs. Fabrizio have to wait longer for? How much longer? (1 month = 4 weeks)
Answers
Answer:
She has to wait longer for the last day of school. She will have to wait 2 more weeks for the last day of school compared to her birthday.
Step-by-step explanation:
If each month is four weeks, this means that 3 months will be 12 weeks. (3×4=12)
Mrs. Fabrizio's birthday is in 10 weeks and the last day of school will be in 12 weeks so she has to wait longer for the last day of school.
what does the y intercept of this graph
Answers
Answer:
c
Step-by-step explanation:
c
I forgot to put the whole i-ready question ;_;
pls my brain is about to explode to oblivion...
(p.s I'm spending so much points)
Answers
Answer:
Dude, that’s hard!
Step-by-step explanation:
100 points. You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
Answers
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
Answer:
Simple interest: Principal = $2000
Annual compound interest: Principal = $1380.59
Step-by-step explanation:
As the question does not stipulate which type of interest was applied, please find below calculations for both simple interest and annual compound interest.
Simple Interest Formula
I = Prt
where:
I = interest accruedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $1600r = 8% = 0.08t = 10 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 1600=P(0.08)(10)[/tex]
[tex]\implies \sf 1600=0.8P[/tex]
[tex]\implies \sf P=\dfrac{1600}{0.8}[/tex]
[tex]\implies \sf P=2000[/tex]
Therefore, the initial deposit (principal) was $2000.
.....................................................................................................
Annual Compound Interest Formula
[tex]\large \text{$ \sf I=P\left[\left(1+r\right)^{t} -1\right]$}[/tex]
where:
I = interest accruedP = principal amountr = interest rate (in decimal form)t = time (in years)Given:
I = $1600r = 8% = 0.08t = 10 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 1600=P\left[\left(1+0.08)^{10}-1\right][/tex]
[tex]\implies \sf 1600=P\left[\left(1.08)^{10}-1\right][/tex]
[tex]\implies \sf 1600=P\left[2.15892...-1\right][/tex]
[tex]\implies \sf 1600=P\left[1.15892...\right][/tex]
[tex]\implies \sf P=\dfrac{1600}{1.15892...}[/tex]
[tex]\implies \sf P=1380.5897...[/tex]
Therefore, the initial deposit (principal) was $1380.59 (nearest cent).
Learn more about simple interest here:
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Learn more about compound interest here:
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the function of f(x)=x^3-7x+6 is shown in the figure which is a factor of the function shown
Answers
Answer:
answer is the first one
Step-by-step explanation:
i dont know how to explain it
What is the difference of 1 and 1/3 and 5/6??
Answers
Answer:
By using cross multiplication method, 1/2 is the difference between two fractions 5/6 and 1/3.
Step-by-step explanation:
Answer:
0.5
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3}- \frac{5}{6}=\frac{1}{2}[/tex]
0.5
PLEASE HELP AND I WILL GIVE BRAINLIEST RN
Answers
Answer:
98
196in³
Step-by-step explanation:
number of cubes in two layers
7 * 7 * 2 = 98
New Volume
98 * 2 = 196in³
Answer:
1.) 98
2.) 196
Step-by-step explanation:
49 + 49 = 98
98 + 98 = 196
V = 196
Find the area of a circle whose radius is 3½m
Answers
Answer:
38.48m squared
Step-by-step explanation:
Area = pi x radius squared
So
3.5 squared is 12.25
12.25 x pi is 38.48
What is the scale factor from AABC to AXYZ?
y
B
30
24
5
4
A 3C
18
N
A.
lco
O B. 6
C. 5
Answers
Answer: B. 6 because it's the actual answer.
The scale factor from triangle ABC to XYZ is 6.
Option B is the correct answer.
We have,
From the triangles ABC and XYZ.
Corresponding sides are given as:
AB = 6 x (XY)
BC = 6 x (YZ)
AC = 6 x (XZ)
This means,
The scale factor is 6.
Thus,
The scale factor from triangle ABC to XYZ is 6.
Learn more about triangles here:
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What is the solution to this equation?
8(25 +1 = 4
СА.
In(0.5)
T =
- 1
OB.
Ос.
In(0.5) + 1
2
In(0.5)
+1
2
In(0.5) - 1
OD
Answers
Answer:
Option (D)
Step-by-step explanation:
Given equation is,
[tex]8e^{2x+1}=4[/tex]
Taking natural log on both the sides of the equation,
[tex]\text{ln}(8e^{2x+1})=\text{ln}(4)[/tex]
[tex]\text{ln}(2^3)+\text{ln}(e^{2x+1})=\text{ln}(2^2)[/tex]
3ln(2) + (2x + 1)[ln(e)] = 2ln(2)
2n(2) - 3ln(2) = (2x + 1)
2x = -ln(2) - 1
[tex]2x=\text{ln}(\frac{1}{2})-1[/tex] [Since, -ln(2) = ln(1) - ln(2) = [tex]\text{ln}(\frac{1}{2})[/tex]]
[tex]2x=\text{ln(0.5)}-1[/tex]
[tex]x=\frac{\text{ln(0.5)-1}}{2}[/tex]
Therefore, Option (D) will be the correct option.
Add 473 base eight and 362 base eight
Answers
Answer:
1055
Step-by-step explanation:
473
+ 362
--------- 3 + 2 = 5, even in base 8
5
Now 7 + 6 = "thirteen" = 15 in base 8 so write 5 in the next column, carry 1
1
473
+ 362
---------
55
1 + 4 + 3 = "eight" = 10 in base 8. Write 0 in the next column, carry 1
1
473
+ 362
---------
1055