Answer:
square,rectangle,rhombus,paralellagram
Step-by-step explanation:
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 2.5 minutes. This process can be described using an exponential probability density function with a mean of 2.5.
a. Find the probability that a customer has to wait more than 4 minutes. (Round your answer to three decimal places.)
b. Find the probability that a customer is served within the first minute. (Round your answer to three decimal places.)
c. The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
Step-by-step explanation:
a)P( a customer has to wait more than 4 minutes )=P(X>4)=e-4/2.5 =0.202
b)probability that a customer is served within the first minute =P(X<1)=1-e-1/2.5 =0.3297
c) here 99th percentile corresponding value =-2.5*ln(1-0.99)=11.51 minutes ~ 12minutes
Answer:
a) 0.2018
b)0.329
c)x=5
Step-by-step explanation:
We are given that This process can be described using an exponential probability density function with a mean of 2.5.
So, [tex]\lambda = 2.5[/tex]
[tex]f(x)=\frac{1}{\lambda}e^{-\frac{1}{\lambda} x}[/tex]
Where x>0 , [tex]\lambda[/tex] > 0
a) Find the probability that a customer has to wait more than 4 minutes.
[tex]P(X>4)=\frac{1}{\lambda} \int\limits^{\infty} _{4} {e^{\frac{-1}{\lambda} x} \, dx[/tex]
[tex]P(X>4)=1-(1-e^{\frac{-4}{\lambda}})\\P(X>4)=e^{\frac{-4}{2.5}}\\P(X>4)=0.2018[/tex]
b)Find the probability that a customer is served within the first minute.
[tex]P(0<x<1)=1-e^{\frac{-1}{2.5}}=0.329[/tex]
c)The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?
[tex]P(X>x) \leq 0.01\\e^{\frac{-x}{2.5}} \leq 0.01\\\frac{-x}{2.5} \leq log (0.01)\\x=-2.5 \times log (0.01)\\x=5[/tex]
-10x + 6 = -74 first to get is right gets 10 points
Answer:
x = 8
Step-by-step explanation:
-10x+6=-74
-10x=-74-6
-10x=-80
x=-80/-10
x=8
Answer:
The answer is x=8
Step-by-step explanation:
If you need me to explain let me know
If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct
Answer:
Step-by-step explanation:
U right it’s not any of them and if u single I’m here
Answer:
B.
Step-by-step explanation:
AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:
[tex]AD=AB+BC+CD[/tex]
Since AB=CD, we can substitute:
[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]
We know that CD is 9 and BC is 5x. AD is 53. So, substitute:
[tex]53=2(9)+5x[/tex]
Solve for x:
[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]
The value of x is 7.
Hence, our answer is B.
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With these points, you'll definitely want to answer...BUT ANSWER CORRECTLY OR TO THE BEST OF YOUR KNOWLEDGE
A population proportion is 0.61. Suppose a random sample of 658 items is sampled randomly from this population
a. What is the probability that the sample proportion is greater than 0.63?
b. What is the probability that the sample proportion is between 0.60 and 0.66?
c. What is the probability that the sample proportion is greater than 0.592
d. What is the probability that the sample proportion is between 0.57 and 0.60?
e. What is the probability that the sample proportion is less than 0.51?
Answer:
Explained below.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
A random sample of n = 658 items is sampled randomly from this population.
As the sample size is large, i.e. n = 658 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.
Compute the mean and standard deviation as follows:
[tex]\mu_{\hat p}=0.61\\\\\sigma_{\hat p}=\sqrt{\frac{0.61(1-0.61)}{658}}=0.019[/tex]
(a)
Compute the probability that the sample proportion is greater than 0.63 as follows:
[tex]P(\hat p>0.63)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.63-0.61}{0.019})\\\\=P(Z>1.05)\\\\=1-P(Z<1.05)\\\\=1-0.85314\\\\=0.14686\\\\\approx 0.1469[/tex]
(b)
Compute the probability that the sample proportion is between 0.60 and 0.66 as follows:
[tex]P(0.60<\hat p<0.66)=P(\frac{0.60-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.66-0.61}{0.019})\\\\=P(-0.53<Z<2.63)\\\\=P(Z<2.63)-P(Z<-0.53)\\\\=0.99573-0.29806\\\\=0.69767\\\\\approx 0.6977[/tex]
(c)
Compute the probability that the sample proportion is greater than 0.592 as follows:
[tex]P(\hat p>0.592)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.592-0.61}{0.019})\\\\=P(Z>-0.95)\\\\=P(Z<0.95)\\\\=0.82894\\\\\approx 0.8289[/tex]
(d)
Compute the probability that the sample proportion is between 0.57 and 0.60 as follows:
[tex]P(0.57<\hat p<0.60)=P(\frac{0.57-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.60-0.61}{0.019})\\\\=P(-2.11<Z<-0.53)\\\\=P(Z<-0.53)-P(Z<-2.11)\\\\=0.29806-0.01743\\\\=0.28063\\\\\approx 0.2806[/tex]
(e)
Compute the probability that the sample proportion is less than 0.51 as follows:
[tex]P(\hat p<0.51)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.51-0.61}{0.019})\\\\=P(Z<-5.26)\\\\=0[/tex]
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
• $1.26
• $5.40
• $19.26
• $30.60
Answer:
• $19.26
Step-by-step explanation:
Answer:
19.26
Step-by-step explanation:
Explanation
7% = 7/100 = 0.07
1 in formula before represents the 18 dollars.
Formula
18*(1 + 7/100)
18 (1 + 0.07)
18(1.07)
19.26
She will have to pay 19.26 dollars.
Write an expression for Jameson had 2 cookies and Jared gave him some more
Answer:
x+2
Step-by-step explanation:
Use any letter for a variable. X is the most common.
let's say x is Jameson. To show he got 5 more, add x by 5
x+5
Hope this helps
Answer:
2+n=?
Step-by-step explanation:
Because we do not know the amount Jared gave him and we do not know the total amount either.
Solve. If there is more than one solution, separate them with a comma.
6+7 |−6x−3| =62
Answer:
[tex]-\frac{11}{6} , \frac{5}{6}[/tex]
The equation has two solutions.
party monkey charges $75 for set up and $8 per person. birthday central charges $50 for set-up and $11 per person. for how many guests will party monkey be less than birthday central.
Answer:
9 or more
Step-by-step explanation:
What is the solution of the system of equations? y – 2x = –6 y – 4x = 0
A. (–3, –12)
B. (–3, 12)
C. (3, –12)
D. (3, 12)
Answer:
The solution of the system of equations will be:
[tex]y=-12,\:x=-3[/tex]
Step-by-step explanation:
Given the system of equations:
[tex]\begin{bmatrix}y-2x=-6\\ y-4x=0\end{bmatrix}[/tex]
Isolate [tex]y[/tex] for [tex]y-2x=-6[/tex], [tex]y=-6+2x[/tex]
[tex]\mathrm{Subsititute\:}y=-6+2x[/tex]
[tex]\begin{bmatrix}-6+2x-4x=0\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-6-2x=0\end{bmatrix}[/tex]
Isolate x for [tex]-6-2x=0[/tex], [tex]x=-3[/tex]
[tex]\mathrm{For\:}y=-6+2x[/tex]
[tex]\mathrm{Subsititute\:}x=-3[/tex]
[tex]y=-6+2\left(-3\right)[/tex]
[tex]y=-12[/tex]
Therefore, the solution of the system of equations will be:
[tex]y=-12,\:x=-3[/tex]
Jacob purchased a t-shirt with a price tag of $20.00. After tax he paid $21.60. What was the amount of the sales
tax in dollars?
Answer:
1.60
Step-by-step explanation:
21.60-20.00= 1.60
help due today hurry up
Answer:
What is the question?
Step-by-step explanation:
I'll see if I ca help
Answer:
yeha i would be happy to help but wheres the qoution i will wdit my answer and give you answer of your quotion
X2+3x-4 please do this question ASAP
Answer: x2+3x−4
Step-by-step explanation: there is no like terms
Answer:
5x-4: x2+3x-4
2x+3x-4
5x-4
which scatter plot shows a nonlinear association for the data
Graph 1 shown in the figure 1 is the scatter plot that shows a nonlinear association for the data.
Non-linear scatter plotWhen the relationship of the scatter plot does not resemble a straight line then that scatter plot is called a Non-linear scatter plot.
How to find the Non-linear scatter plot.In figure 1, the scatter plot of graph 2, graph 3 and graph 4 can resemble a straight line but the graph 1 does not resemble a straight line.
As the slope of that graph also changes.
So, graph 1 is the scatter plot that shows a nonlinear association for the data.
Learn more about scatter plot here- https://brainly.com/question/2655543
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Is -3•-15 positive or negative
Answer:
positive
Step-by-step explanation:
A negative times a negative is a positive
There are
20
%
20%20, percent more goblins than wizards in magic club. There are
120
120120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100 wizards in magic club
Step-by-step explanation:
20% of 120 is 20 so
120-20=100
Mr. Samson deposited some money into his checking account. Then after spending $33, the balance in his account was $67. How much was the deposit?
Answer:
He deposited $100
Step-by-step explanation:
67 + 33 = 100
Hope this helps! Please mark brainliest!
Brainleist!!!!!!
!!!!!!!!!!!!!!!!!
Answer:
function
Step-by-step explanation:
i have a hunch that is function i need one more brainleist pls
please help asap question three
Answer:
(-6,-6) I think that A is correct
11. Use the Distributive Property to solve the equation below. Use pencil and paper. Explain why the Distributive Property makes it possible to solve this equation. 37 - (2c + 3) = 4(c + 5) + C
Answer: C equals 2.
Step-by-step explanation:
37 + (-2c - 3) = 4c + 20 +c (distribute)
34 - 2c = 5c +20 (combine like terms)
14 = 7c (divide)
c = 2
A _____ has two pairs of parallel sides.
1)Kite
2)Rhombus
3)Trapezoid
Answer:
3) Trapezoid
It has 4 sides and 2 of the sides are parallel
Answer:
A rhombus
Step-by-step explanation:
The definition of parallel lines is two or more lines that never intersect, are on the same plane, and are the same distance apart no matter what point you measure from. The sides of a rhombus are parallel and the top and bottom of the shape are parallel to each other.
A sample of 12001200 computer chips revealed that 53S% of the chips do not fail in the first 10001000 hours of their use. The company's promotional literature claimed that more than 50P% do not fail in the first 10001000 hours of their use. Is there sufficient evidence at the 0.100.10 level to support the company's claim
Complete Question
A sample of 1200 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.10 level to support the company's claim
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct
Step-by-step explanation:
From the question we told that
The sample size is n = 1200
The significance level is [tex]\alpha = 0.100[/tex]
The sample proportion is [tex]\^ p = 0.53[/tex]
The null hypothesis [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]Ha : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p(1 - p )}{n} } }[/tex]
=> [tex]z = \frac{ 0.53 - 0.5 }{ \sqrt{\frac{0.50 (1 - 0.50)}{1200} } }[/tex]
=> [tex]z = 2.078[/tex]
From the z table the area under the normal curve to the right corresponding to 2.078 is
[tex]P(Z > 2.078 ) = 0.018855[/tex]
So
[tex]p-value = 0.018855[/tex]
Generally the value obtained we see that [tex]p-value < \alpha[/tex] , Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the company's promotional literature claimed that more than 50% do not fail in the first 1000 hours of their use is correct
simplify [tex](3x2y3)3( x3)[/tex]
the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A
To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.
So, let's simplify step by step:
(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³
Simplifying further:
3³ = 27
(x²)³ = x²⁽³⁾ = x⁶
(y³)³ = y³⁽³⁾ = y⁹
(z³)³ = z³⁽³⁾ = z⁹
Combining all the simplified terms, we have:
27 * x⁶ * y⁹ / z⁹
Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.
Learn more about expression here
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help me please its due 11:45
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
What is the whole number quotient and reminder for 32÷6
Answer: whole number is 5 and remainder is 2
Step-by-step explanation:
six goes into 32 5 times to get 30
32-30=2
Find the coordinates for these please :)
Please help
Picture inserted
Multiple choice
Will appreciate it if u help!
Find the slope of the line through points
(-8,2) and (1,3).
Write your answer in simplest form.
Answer:
The answer is
[tex] \huge \frac{1}{9} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{3 - 2}{1 - - 8} = \frac{1}{1 + 8} = \frac{1}{9} \\ [/tex]
We have the final answer as
[tex] \frac{1}{9} \\ [/tex]
Hope this helps you