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
Three times eight M equals fourteen. Which of the following equations represents this statement?
Answer:
3x8m= 14 is the equation that matches the description.
Step-by-step explanation:
It is simply the number three, multiplied by eight with the variable m, and is equal to the number 14.
Find the value of x and y.
(In picture)
Answer:
x is 4, and y is 3
Step-by-step explanation:
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]
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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.
PLEASE NEED THIS ASAP
Answer:
The answer is in the above attachment.
A 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
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Evaluate the triple integral.
E
y dV, where E = {(x, y, z) | 0 ≤ x ≤ 6, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
The definition of the set E gives you a natural choice for the limits in the integral:
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx[/tex]
Computing the integral, we get
[tex]\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx[/tex]
[tex]\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}[/tex]
The evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
What is triple integral?Triple integral integrates the integrand over three dimensions.
Given that:
E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y}
Evaluating the integral:
[tex]I = \int \int \int _E y \: dV[/tex]
[tex]I = \mathlarger{\int_0^6 (\int_0^x (\int_{x-y}^{x+y} y\: dz)dy)dx}\\\\I = \int_0^6 (\int_0^x [yz]_{z=(x-y)}^{z=(x+y)}dy)dx\\\\I = \int_0^6 (\int_0^x y( (x+y) - (x-y)) \: dy)dx\\\\ I = \int_0^6 (\int_0^x y(2y) \: dy)dx\\\\I =2 \int_0^6 \left [\dfrac{y^3}{3}\right ]_{y=0}^{y=x} dx\\\\I = 2 \int_0^6 (x^3/3) dx\\\\I = \dfrac{2}{3} \left[\dfrac{x^4}{4} \right]_{x=0}^{x=6} = \dfrac{2}{3} \times \dfrac{6^4}{4} =216[/tex]
Thus, the evaluation of the triple integral ∭E y dV, where E = {(x, y, z) | 0 ≤ x ≤ 3, 0 ≤ y ≤ x, x − y ≤ z ≤ x + y} is 216
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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])
please help me
what is
28a+84b+92c=
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!
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]
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]
Evaluate. (w^2/x -3) ÷10 × z when w= -4, x = 0.8, and z = -4/5 Enter your answer as a simplified mixed number in the box.
Answer:
-1.36
Step-by-step explanation:
(-4^2/0.8-3)/10×-4/5=-1.36
I NEED HELP special right triangle 45-45-90
Answer:
x=6
y=9
Step-by-step explanation:
PLS HELP ASAP IM TAKING AN RXAM!!! 40 POINTS!!!!!!
Using data from the Internet, we've compiled a list of Presidents of the United States through 2012 to show party affiliations and ages during office. You completed a frequency table and bar graph using this data. The bar graph is shown below. Describe what you can say about this bar graph given the data and the graph.
The given bar graph shows the number of years that each president served in office, and the presidents of the United States are represented by the width of the bar graph.
What is a bar graph?A bar graph is one way of representing data, The height of the bar graph represents relative frequencies and the width of the bar graph represents
it's class width or an interval.
The height given bar graph represents no. of years each president lasted
and the width of the bar graph represents the Presidents of the United States.
R-Republican lasted the most no.of years which is 18 years and U-Union lasted the least no of years which is one.
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f(x)=ax^2 +bx +c solve: heigh 275 width 290
Answer:
800 i think
Step-by-step explanation:
Help help help help help help
Answer:
Step-by-step explanation:
A' = (-1 + 4, 2 + 6) = (3, 8)
B' = (-2 + 4, -3 + 6) = (2, 3)
A' = (-5 + 4, -1 + 6) = (-1, 5)
Add 10% of 300 to 50% of 20
Answer:
40
Step-by-step explanation:
10% of 300 = 300/10 = 30
50% of 20 = 20/2 = 10
30+10=40
If you see this can you answer this question.
Answer:
The last one
Step-by-step explanation:
-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side
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:
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
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I need some help it is to early for my brain to work
Answer:
5 minimum 32 maximum
Step-by-step explanation:
Helpppppppppppppppppppppppppppp
Answer:
look at the photo...............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
Solve algebraically :)
Answer:
x > 4
Step-by-step explanation:
Answer:
should be x > 4
Step-by-step explanation:
If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?
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 < -4show your solution and answer the 4 questions.
Answer:
Step-by-step explanation:
1. When the number of kilograms of paper is doubled, the points will be doubled
2. 300÷ 5 = 60
They have to collect 60 Kg of papers to earn 300 points.
3) P = 5*n
P = 5n
4) We are not only reducing the waste, the collected paper can be reused or can be sent to recycling centers.
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