Answer:
800 students failed
Step-by-step explanation:
Since 60% passed the class, 40% failed
This means that 40% of the 2,000 students are failures
[tex]\frac{40}{100} (2,000)= 800[/tex]
A restaurant wants to study how well its salads sell. If 10 of the salads sold were salads, how many total salads did the restaurant sell?
Answer:
Um... is this a joke it’s 10
Step-by-step explanation:
3(c − 2) = 15 what’s the value of c?
Answer: 7
Step-by-step explanation:
Distribute
3c - 6 = 15
Add 6 to both sides
3c = 21
Divide 3 to both sides
c = 7
A new process of more accurately detecting anaerobic respiration in cells is being tested. The new process is important due to its high accuracy, its lack of extensive experimentation, and the fact that it could be used to identify five different categories of organisms: obligate anaerobes, facultative anaerobes, aerotolerant, microaerophilic, and n anaerobes instead of using a single test for each category. The process claims that it can identify obligate anaerobes with 97.8% accuracy, facultative anaerobes with 98.1% accuracy, aerotolerant with 95.9% accuracy, microaerophiles with 96.5% accuracy, and n anaerobes with 99.2% accuracy. If any category is not present, the process does not signal. Samples are prepared for the calibration of the process and 31% of them contain obligate anaerobes, 27% contain facultative anaerobes, 21% contain microaerophiles, 12% contain nanaerobes, and 9% contain aerotolerant. A test sample is selected randomly.
Required:
a. What is the probability that the process will signal?
b. If the test signals, what is the probability thatmicroaerophiles are present?
Answer:
a) 0.97605 = 97.605% probability that the process will signal.
b) 0.2076 = 20.76% probability that microaerophiles are present.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What is the probability that the process will signal?
It signals in these following moments:
97.8% of 31%(contains obligate anaerobes).
98.1% of 27%(contains facultative anaerobes).
96.5% of 21%(contains microaerophiles).
99.2% of 12%(contains nanaerobes).
95.9% of 9%(contains aerotolerant). So
[tex]p = 0.978*0.31 + 0.981*0.27 + 0.965*0.21 + 0.992*0.12 + 0.959*0.09 = 0.97605[/tex]
0.97605 = 97.605% probability that the process will signal.
b. If the test signals, what is the probability thatmicroaerophiles are present?
Event A: Test signals
Event B: Contains microaerophiles
0.97605 = 97.605% probability that the process will signal.
This means that [tex]P(A) = 0.97605[/tex]
Intersection of events A and B:
Signals containing microaerophiles, which is 96.5% of 21%. So
[tex]P(A \cap B) = 0.965*0.21 = 0.20265[/tex]
The probability that microaerophiles are present is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.20265}{0.97605} = 0.2076[/tex]
0.2076 = 20.76% probability that microaerophiles are present.
A survey was conducted to find the frequency with which people go to the movies. A group of 120 people in a mall were asked about how often they go out for a movie and It was found that 36 people go to movies at least once in a month. Which of these is an example of descriptive statistics
Answer:
30% of the people surveyed in the mall go to movies at least once in a month
Step-by-step explanation:
A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month
Here 30% come from
= 36 ÷ 120
= 30%
STICK EM UP! or I will have to shoot.
Jenna has a rectangular pig pen that measures 8m wide by 10m long. She wants to increase the area to 168 m^2 by increasing the length and width by the same amount. What would you enter into desmos to represent the equation?
A) x^2 + 18x – 88
B) x^2 + 10x + 80
C) (8x)(10x)-168
D) None of the above
Answer:
The answer is A
Step-by-step explanation:
I just took the test and it was the answer!
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
The correct option is (A).
What is Surface Area?The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.
As per the given data:
The dimensions for the pig pen Jenna has is given.
The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.
Length of the rectangular pig pen = 10 m
Width of the rectangular pig pen = 8 m
Now, let's say that the length and width of the pig pen is increased by x m.
length = 10 + x
width = 8 + x
The expression for the area of the pig pen will be:
Area = length × width
168 = [10 + x][8 + x]
168 = 80 + 10x + 8x + x²
x² + 18x - 88 = 0
The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.
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A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).
c = 152t - 44d
How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729
Answer:
C. 2428
Step-by-step explanation:
c=152t-44d
Its given that,
t=18, d=7
substituting
c=152(18)-44(7)=2428
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On a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74%
of the total bill. To the nearest cent, what was the total amount of the utility bill?
The total amount of the utility bill is $
Answer:
74%->91.22
100%-> 123.27(estimated)
The total amount of the utility bill will be $123.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.
The total amount will be calculated as below:-
74% ⇒ $91.22
1% ⇒ 91.22 / 74
100% ⇒ ( 91.22 x 100 ) / 74
100% ⇒ $123.27
Therefore, the total amount of the utility bill will be $123.2.
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please help, this is due soon!
Answer:
289 meters I believe.
Step-by-step explanation:
If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.
Answer:
y = 16
Step-by-step explanation:
Given that,
y varies inversely with x i.e.
[tex]y=\dfrac{k}{x}[/tex]
Where
k is a constant of proportionality
Put y = 48 and x = 6 in the above equation to find k.
So,
[tex]k=48\times 6\\\\k=288[/tex]
Now put k = 288 and x = 18 in the above equation to find y.
[tex]y=\dfrac{288}{18}\\\\y=16[/tex]
So, the value of y is equal to 16 when x = 18.
Answer:
16
Step-by-step explanation:
NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28
Answer:
d. 28
Step-by-step explanation:
7x = 3x + 16
subtract 3x from both sides: 4x = 16
divide both sides by 4: x = 4
plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28
Which expression is equivalent to , if y > 0?
A.
B.
C.
D.
Answer:
D. 126y²Step-by-step explanation:
Given expression:
3[tex]\sqrt{2y^3}[/tex]· 7[tex]\sqrt{18y}[/tex]Simplify:
21 [tex]\sqrt{2*18*y^{3+1}}[/tex] = 21[tex]\sqrt{36y^4}[/tex] = 21(6y²) = 126y²Correct choice is D
Answer:
D. 126y²
Step-by-step explanation:
pls help me look at the pic
9514 1404 393
Answer:
(b) 540 boxes
Step-by-step explanation:
The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).
The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).
The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).
The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...
18 × 5 × 6 = 540 boxes
_____
In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...
(28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit
Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?
Step-by-step explanation:
To find circumfrence you use the equation:
[tex]C=2\pi r[/tex]
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
[tex]C=2\pi 7[/tex]
C= 43.98 or 44 rounded
Answer:
To find circumfrence you use the equation:
Since you were given the diameter so you divide by half to get the radius.
14/2 = 7
your radius is 7 and all you do is plug into the equation
C= 43.98 or 44 rounded
Step-by-step explanation:
J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. (Data extracted from 2013 U.S. Vehicle Dependability Study,J.D. Power and Associates, February 13, 2013, Let X be equal to the number of problems with a three -year -old Ford.
a. What assumptions must be made in order for X to be distributed as a Poisson random variable? Are these assumptions reasonable? Making the assumptions as in (a), if you purchased a Ford in the 2010 model year, what is the probability that in the past 12 months, the car had
b. zero problems?
c. two or fewer problems?
d. Give an operational definition for problem. Why is the operational definition important in interpreting the initial quality score?
Answer:
0.281 ; 0.864
Step-by-step explanation:
1.)
p decreases as n increases (n increases, p--> 0)
λ ≥ 0
P(x = x) = (e^-λ * λ^x) ÷ x!
λ for Ford = 1.27
B) zero problems :
P(x = 0) :
(e^-1.27 * 1.27^0) ÷ 0! = 0.281
P(x = 0) = 0.281
Two or fewer problems :
P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x ≤ 2) = 0.281 + 0.357 + 0.226
P(x ≤ 2) = 0.864
D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.
Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52
Answer:
46, 30, 24, 18, 12
Step-by-step explanation:
Please help I need this answer ASAP
Answer:
7 granola bars
Step-by-step explanation:
560 calories in 4 bars
560/4 = 140 per bar
980/140 = 7 bars
Let f(x) = - 4x+2 and g(x) = x2 + 2.
Find (f+g)(x).
Answer:
[tex]x^{2}[/tex]-4x+4
Step-by-step explanation:
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
How would the area of a triangle be affected if the base and height are dilated by 1/2
Answer:
The area would reduce to 1/4 the original area
Step-by-step explanation:
The area of a triangle = (1/2)(base)(height) or bh/2
If the triangle base and height were to reduce by one-half, the formula would change to:
Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4
ILL GIVE BRAINLIEST! PLEASE ANSWER IF YOU SEE THIS!!! David has a container filled with quarters and nickels. He has 29 coins which add up to $5.85. How many quarters does he have?
Missy read 1/12 of a book by Monday 1/4 of the book by Tuesday and 5/12 of the book by Wed. if the pattern continues how much of the book will she have read by Fri. draw a chart or explain
Answer:
part A:
1/12 on day 1
1/4 or 3/12 on day 2
5/12 on day 3
Missy read 2/12 or 1/6 every day
Part B:
if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day
2/12 * 4 = 8/12
so 1/12 + 8/12 = 9/12 or 3/4 by Friday
Answer:
Monday: 1/12
Tuesday: 3/12
Wednesday: 5/12
Step-by-step explanation:
the cost of an airplane flight increases from $250 to $295.
what is the increase?
Answer:
Step-by-step explanation:
45 dollars is the answer lol this is 2 ez
Answer: 45 is the increase
Step-by-step explanation:
295-250=45
3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.
Judith made 4 stacks of wooden blocks. The first stack was 9 blocks tall. The second stack was 5 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. How many blocks did Judith use in all?
Answer: the answer is 42
For the sequence tn=n^2-2n,find the third term
Answer:
t₃ = 3
Step-by-step explanation:
To find the third term substitute n = 3 into the formula, that is
t₃ = 3² - 2(3) = 9 - 6 = 3
Answer:
tn=n^2-2n
n =3
t3 = 3^2 -2(3)
t3 = 9-6
t3 = 3
81^3x÷3^4x=729 solve for x
Answer:
Step-by-step explanation:
x=45816 , 1.89552335
Answer:
Answer:
x=0.333333,−0.333333
Step-by-step explanation:
(813)(x) /3^4
x=729
Simplifies to:
6561x2=729
Let's solve your equation step-by-step.
6561x2=729
Step 1: Divide both sides by 6561.
6561x^2 /6561 = 729 /6561
x2= 1 /9
Step 2: Take square root.
x=±√ 1 /9
x=0.333333,−0.333333
Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?
Answer:
Each book cost $16
Step-by-step explanation:
Step 1: Subtract $13 from 141 to get 128
Step 2: Divide 8 by 128 to get 16
Each book cost $16
Hope this helps
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HELP PLEASE!!!
See the image!
Answer:
Step-by-step explanation:
Remark
I don't think the net helps you that much. The yellow diagram shows where the dimensions are.
Givens
L = 5w = 5h = 12Formula
Surface Area = 2*L*w + 2*L*h + 2 * w * h
Solution
Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2
Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?
Answer:
they ate it all together as it all adds to 1
Step-by-step explanation:
1/4+2/5 if you add the missing remainder it totals 1