A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.
what is 3/4 divided by 11/20
Answer:
11/15
Step-by-step explanation:
11/20 / 3/4
11/20*4/3
44/60
22/30
11/15
Answer:
15/11
Step-by-step explanation:
3/4 divided by 11/20?
Reduce the expression, if possible, by canceling the common factors.
Exact Form: 15/11
decimal form: 1.36
mixed number form: 1 4/11
the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is (a) exactly six, (b) at least six, and (c) more than six. (a) P(exactly six)= enter your response here (Round to four decimal places as needed.)
Using the Poisson distribution, it is found that the probabilities are:
a) 0.149
b) 0.6993
c) 0.5503
We are given only the mean, hence, the Poisson distribution is used.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].
Item a:
The probability is P(X = 6), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]
Item b:
This probability is:
[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]
In which:
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:
[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]
Item c:
This probability is:
[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:
[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]
A similar problem is given at https://brainly.com/question/16912674
Due to the heightened demand for Clorox wipes, the company has marked up their prices by 20%. If they used to only cost $3.75, how much do they cost now?
A theme park ticket usually costs $154. Due to lower attendance rates, they have marked down their ticket costs by 18%. How much is the ticket cost now?
Answer:
hey there!
Step-by-step explanation:
FIRST QUESTION
3.75
10%= 0.375
20%= 0.75
3.75 + 75 = 4.50
$4.50
SECOND QUESTION
18/100 = X/154
X/154 = 18/100
X*154/154 = 18*154/100
X = 2772/100
X = 27.72
154- 27.72 = 126.28
$126.28
A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch
Answer:
we need 6 cups of cranberry juice for 12 gallons of punch
Can you help me solve this please.
Answer:
23
Step-by-step explanation:
First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.
[LARGE RECTANGLE]
A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])
[SMALLER TRIANGLE]
A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])
[QUARTER CIRCLE]
A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex] = 7 ([tex]units^{2}[/tex])
I NEED HELP special right triangle 45-45-90
Answer:
x=6
y=9
Step-by-step explanation:
A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)
Answer:
5/28
Step-by-step explanation:
First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.
The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.
f(x)=2x^2-3x+5 and g(x)=x-4,
find (f+g)(x)
Answer:
2x^3-2x^2+x
Step-by-step explanation:
Just trust me!
I need some help it is to early for my brain to work
Answer:
5 minimum 32 maximum
Step-by-step explanation:
Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30
Answer:
3(n+5)=-30
Step-by-step explanation:
Three times the sum of a number and 5 is - 30
Vocabulary:
times = multiplication, represented with *
sum = addition, represented by +
unknown number = n
Three * the sum of a number and 5
The sum of a number and 5 is the same as saying n + 5
So we are multiplying 3 by n + 5
Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.
So we get 3( n + 5 ) is -30
3(n+5)=-30 is the answer.
Answer:
[tex]3(n+5)=-30[/tex]
Step-by-step explanation:
1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.
2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].
3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].
Solve algebraically :)
Answer:
x > 4
Step-by-step explanation:
Answer:
should be x > 4
Step-by-step explanation:
PLEASE NEED THIS ASAP
Answer:
The answer is in the above attachment.
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
Josie calculated 1/5+2/7 and said the answer was 2/7 explain how you know that Josie's answer dose not make sense
[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]
NO LINKS!!
y = |x + 4| - 1
Approximate when the function is positive, negative, increasing or decreasing.
Describe the end behavior of the function.
Function is positive:
Negative:
Increasing:
Decreasing:
Step-by-step explanation:
Given function:
y = |x + 4| - 1See the graph below
According to the graph we see that
The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)
Function is positive:
When x < - 5 and x > -3Negative:
When x is between -5 and -3Increasing:
When x > -4Decreasing:
When x < -4A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)
The probability that exactly 6 are sedimentary is 0.00002
Probability is the likelihood or chance that an event will occur.Given the total amount of rocks = 10 + 8 + 8 = 26 rocksIf there is a total of 8 sedimentary rocks, the total outcome will be expressed as:
26C8 = 26!/(26-8)!8!
26C8 = 1562275
If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;
8C6 = 8!/(8-6)!6!
8C6 = 28
Pr(exactly 6 are sedimentary ) = 28/1562275
Pr(exactly 6 are sedimentary ) = 0.000017922
Hence the probability that exactly 6 are sedimentary is 0.00002
Learn more on probability here: https://brainly.com/question/13604758
For the function f(x) = 4x3 + 3x + 1, find f '(1).
A.
15
B.
8
C.
12
D.
13
Answer:B
Step-by-step explanation:
|a| if a>0
Please help!
Answer:
Step-by-step explanation:
the absolute value bars mean we ignore the sign of the variable
As (a) is always positive for a>0, |a| = a
For contrast, If the range were a<0 where (a) is always negative, then |a| = -a
Answer:
1/a > 0
Step-by-step explanation:
To mix weed killer with water correctly, it is necessary to mix 10 teaspoons of weed killer with 2 gallons of water. Find how many gallons of water are needed to mix with the entire box if it contains 20 teaspoons of weed killer.
Answer: 4 gallons
Step-by-step explanation:
tính cỡ mẫu cho một nghiên cứu điều tra xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung bình một đơn thuốc của nghiên cứu thử là 1,03. Nếu như người điều tra tin tưởng 95% rằng kết quả nghiên cứu của mình chỉ sai lệch so với quần thể là 10%
Answer:
xác định giá tiền trung bình một đơn thuốc. Người ta tiến hành một nghiên cứu thử và xác định được độ lệch chuẩn khi tính giá tiền trung
Step-by-step explanation:
33. Due to some error in a weighing scale, it shows the following reading when at rest (no weight is placed on it). Neerja measured her weight on this scale. The weight shown on the scale was 28 kg. What should she do to find out her correct weight?
(A) Add 2 kg to the weight shown. (B) Subtract 2 kg from the weight shown.
(C) Subtract 28 kg from the weight shown. (D) Add 4 kg to the weight shown
Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
–5(–2) = help me please ill give brainlist
Answer:
The answer is 10!
Step-by-step explanation:
3. Find the difference between the two expressions.
1x - 5y)-1(x + 2y)
Answer:
[tex]-7y[/tex]
Step-by-step explanation:
Our equation is:
[tex]\left(1x-5y\right)-1\left(x+2y\right)[/tex]
First we dritribute
Now we have, [tex]x-5y-x-2y[/tex]
[tex]Combine[/tex] light terms
and we get [tex]-7y[/tex]
A package contains 12 ounces of cereal .If you use 1 portion of this cereal which is 1 1/3 how much would be left in the cereal box?
To answer this question, you would need to divide the total amount of cereal in the box by the serving size.
This would be 12 2/3 divided by 1 1/3.
We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3
Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2
Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.
Hope this helps
sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
Answer:
12/9+3 4/3 = 5 2/3 or 17/3
Step-by-step explanation:
Answer:
its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.
Step-by-step explanation:
Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
what the estimated quotient for the following problem?
343.23 divdend by 18
Answer:
Step-by-step explanation:
17
343.23 /18 is 19.0683333333
so the closest number to that is 17, if not try 23!
(5,65) (7,71) slope
Answer:
3
Step-by-step explanation:
The slope formula is m=y2-y1/x2-x1
y2 is 71
y1 is 65
x2 is 7
x1 is 5
71-65 is 6
7-5 is 2
So the slope looks like this:
6/2
Simplify:
Which is 3
Hope this helps!
Can somebody give me an answer? ill give brainiest.
Answer:
The mystery divisor is 18
Step-by-step explanation:
In the beginning, I found it by simply dividing the dividend by the quotient which gave me the divisor of 18. You can start the division equation again and add in the divisor 18 and it'll give you the exact answer.
Another way you'll know it's correct, is by dividing the dividend by that divisor and it'll give you the quotient 225 just like in the image.
She calculates the percentage of applicants in her sample that are in poverty. Is this percentage a parameter or a statistic, and why
Answer:
A statistic
Step-by-step explanation:
This is because she only examined the applications that she selected.
The given percentage represents statistic.
What is percentage?
" Percentage is defined as the hundredth part of a given quantity."
According to the question,
Given,
Collection of data applicants in form of sample
Percentage calulation based on sample
Parameter : Parameter represents the data of whole population, here she collects sample.
parameter is not the correct answer.
Statistic : Statistic represents the sample of the data and she has calculated percentage of the sample.Statistic is the correct answer.
Hence, the given percentage represents statistic.
Learn more about percentage here
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