Answer:
0.6462 = 64.62% probability that the person uses exactly one of the facilities
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
20 people use the gym and the track and 6 people use all three facilities
So 20-6 = 14 use exactly the gym and the track and 6 use all three.
8 people use the pool and the track
So 8 - 6 = 2 use exactly the pool and the track.
23 people use the gym and the pool.
So 23 - 6 = 17 use exactly the gym and the pool.
32 people use the track
So 32 - (6 + 14 + 2) = 10 use only the track.
60 people use the swimming pool
So 60 - (6 + 2 + 17) = 35 use only the pool.
76 people use the gym
So 76 - (6 + 14 + 17) = 39 use only the gym
What is the probability that the person uses exactly one of the facilities?
Out of 130, 39 + 35 + 10 = 84 use exactly one of the facilities.
84/130 = 0.6462
0.6462 = 64.62% probability that the person uses exactly one of the facilities
On a coordinate grid, point A is at (−2.0, −3.4) and point B is at (2.0, −3.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y.
Answer:
Y axis is correct :))
Step-by-step explanation:
How many triangles can be constructed with angles measuring 50°, 90°, and 40°?
A.one
B.none
C.more than one
Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight requires two D batteries, and the flashlight will work only if both its batteries have acceptable voltages. Treat all batteries and flashlights as independent of one another. Suppose 20 randomly selected batteries are placed into 10 flashlights. What is the probability that at least 9 of the flashlights function properly
Answer:
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
Step-by-step explanation:
For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Flashlight works correctly if both its batteries have acceptable voltages:
Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:
[tex]p = (0.88)^2 = 0.7744[/tex]
10 flashlights.
This means that [tex]n = 10[/tex]
What is the probability that at least 9 of the flashlights function properly?
This is
[tex]P(X \geq 9) = P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260[/tex]
[tex]P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776[/tex]
[tex]P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036[/tex]
0.3036 = 30.36% probability that at least 9 of the flashlights function properly.
How many square feet of outdoor carpet will
we need for this hole?
?
6 ft
2 ft
2 ft
3 ft)
5 ft
3 ft)
12 ft
Please
Answer:48 ft to the second power
Step-by-step explanation:
I just got it right on iready
The area of the outdoor carpet that needed for the hole should be considered as the 48 ft².
Calculation of the area:
Since
we know that
Area of the rectangle = Length (breadth)
here,
L = 12 ft
b = 5 ft
So,
area = 12 × 5
= 60 ft²
Now
The cut off triangle area
area = 1/2 × base × height
= 1/2 × 4 × 3
= 12/2
= 6 ft²
Now
The cut off rectangle area should be
area = Lb
= 3 × 2
= 6 ft²
Now finally
The area of the outdoor carpet should be
= 60 - 6 - 6
= 48 ft²
learn more about an area here: https://brainly.com/question/17971267
What is the probability of pulling out a diamond card out of a standard deck and rolling a 5?
Answer:
1/24
Step-by-step explanation:
The probability of drawing a diamond is 1/4 and the prob. of rolling a 5 is 1/6. Multiply the two together
Two brothers have ages that are consecutive odd integers. The product of their ages is 38 less than the older brother's age squared. What are the ages of the two brothers?
answer = the elder bother is 17 and the younger one is 15
constructive odd integers= 15 and 17
17×15= 255
255+38 = 293
Square root of 293 = 17
select repeating or nonrepeating to correctly classify each decimal
Answer:
You Need To add a picture
Step-by-step explanation:
But if the decimal is before a number and has a line then its repeating if not its nonrepeating
1 = w/10 what is up plz help
Answer:
I think it would be W=1
Step-by-step explanation:
Hope this helps :-)
What is the range of possible sizes for side x?
Answer:
Your answer is
1/2 <x<8
as per triangular rules
Hope that this is helpful. Tap the crown button, Like & Follow me
5. Solve the inequality for n: 4n+2(n+1)>n+52
Answer:n>10
Step-by-step explanation:b
Examine the worked problem and solve the equation
Answer:
The solution is 9
(-3x10^3) x (4x10^6)
Answer:
not sure but i got -12000000000 in the calculator
Step-by-step explanation:
−12x1001001 if you are simplifying
Find the surface area of the rectangle:
8 cm
5 cm
12 cm
FAST PLS
Mary bought 10 1/2 pounds of turkey for a picnic. There were 4 3/4 pounds of turkey left after making 25 turkey sandwiches. Which statement is true?
A The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
B The quotient −534÷25=−23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.
C The quotient 534÷25=23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
D The quotient 534÷25=23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich.
Answer:
HEYO!! soo the answer is A!! I tried B like the other person said but i got it wrong! so its A!
Step-by-step explanation:
Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Mary bought [tex]10\frac{1}{2}[/tex] pounds of turkey for a picnic.
There were [tex]4\frac{3}{4}[/tex] pounds of turkey left after making 25 turkey sandwiches.
We need to find which statement will be true from the given options.
The solution we get by using the division process.
Division is nothing but splitting something to equal parts.
The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich is the true statement.
Hence, Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
I need help what is the simplest form for the number 10 6/9?
The student council at mountain view high school plans to conduct a survey to determine the student body's opinion of the new lunch menu. Which of the following sampling methods would be most likely to result in UNDERCOVERAGE bias?
A. Setting up a booth in the lunchroom where students can give their thoughts
B. Obtaining an alphabetical list of all students and surveying every 10th student
C. Handing out a questionnaire to seniors only
D. Handing out a survey to the first 50 students entering the cafeteria at lunch
Answer:
c
Step-by-step explanation:
just did it on a.pex
It’s due late tonight can some pls help me pass
please help me i really need help please
Answer:A?
Step-by-step explanation:
What is the length of the base of a right triangle with an area of 24 square meters and a height of 4 meters?
3 m
6 m
12 m
96 m
Answer:
12
you can chose to belive me or not
The length of the base of a right triangle with an area of 24 square meters and a height of 4 meters is 12 meters.
The correct option is C.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
An area of the right triangle = 24 square meters.
Height = 4 meters.
Then,
An area of the right triangle = 24 square meters.
1/2 x base x height = 24
1/2 x base x 4 = 24
Base = 12 meters.
Therefore, the base is 12 meters.
To learn more about the right-angled triangle;
brainly.com/question/3772264
#SPJ6
can someone help me please
Answer:
1.36
2.4
3.-11
4.2
5.-20
Craig treated his sister to lunch while visiting her in Campbell. Their lunch cost $40, and the sales tax in Campbell is 5%. If Craig left a 15% tip on the $40, how much in total did he pay?
Pleasee give correct
Answer:
$48
Step-by-step explanation:
5% of 40 = 2 and 15% of 40 = 6. 6 + 2 = 8. 40 + 8 = $48.
EASY TRUE OR FALSE QUESTION
Answer: False
Step-by-step explanation:
Answer: False
Step-by-step explanation:
A triangle has an area of 64 cm² and a base of 10 cm².
What is the height of the triangle?plsssssssssssss help
Will give 5/5 if 2 ppl answer I can give brainlest
Answer:
Your answer is 12.8
Hope that this is helpful. Tap the crown button, Like & Follow me
Dylan paid $3.50 for 12 folders. How much would he pay for 30 folders?
Answer:
8.75
Step-by-step explanation:
12f=3.50
30f=3.50/12*30
3.50/12*30= 8.75
8.75 is the amount for 30 folders.
Factor the polynomial
Answer:
(5x+12) (5x-12)
Step-by-step explanation:
Use the difference of squares fromula. [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]
Where a = 5x and b =12.
Please help! Find x if 2(x+1)=x+5
Answer:
x=3
Step-by-step explanation:
2(x+1)=x+5
Use the distributive property to multiply 2 by x+1.
2x+2=x+5
Subtract x from both sides.
2x+2−x=5
Combine 2x and −x to get x.
x+2=5
Subtract 2 from both sides.
x=5−2
Subtract 2 from 5 to get 3.
x=3
Answer:
3
Step-by-step explanation:
2(x+1)=x+5
2x+2=x+5
2x-x+2=5
x+2=5
x=5-2
x=3
Try It! Guppies 3 Tank 3 has a ratio of 3 guppies for every 4 angelfish. Complete the ratio table to find the number of angelfish in Tank 3 with 12 guppies. Using the information in Example 2 and the table at the right, which tank with guppies has more fish? Angelfish 4
Answer:
n
Step-by-step explanation:
Answer:
Step-by-step exp
Jasmine evaluated the expression 3x+2 when x=5.
3x+2
35+2
37
Explain Jasmine’s mistake.
Answer:
when x = 5
then the value of. (3x+2)
(3*5) + 2
15 + 2
=. 17
her mistake was that she doesn't multiplied 5 and 3
Based on the following data, would Beth and Roger Simmons receive a refund or owe additional taxes.
Answer:
received a refun
Step-by-step explanation:
They will need to get refund based on the information given because I don't see any data to work with here
can someone help me
Answer:
30
Step-by-step explanation:
Given
f(x) = x² - x
Then
f(-5) = (-5)² - (-5)
= 25 + 5
= 30