The mean of the uniform distribution of X is the average of the distribution
The mean and standard deviation of X are 18 and 9.24, respectively
How to determine the mean?The uniform distribution of X is given as:
X∼U(3,34)
This means that:
a = 3 and b = 34
The mean is calculated as:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{2 + 34}{2}[/tex]
[tex]\bar x = \frac{36}{2}[/tex]
Evaluate
[tex]\bar x = 18[/tex]
How to determine the standard deviation?This is calculated as:
[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]
Substitute known values
[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]
Evaluate the exponent
[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]
Divide
[tex]\sigma = \sqrt{85.33}[/tex]
Evaluate the root
[tex]\sigma = 9.24[/tex]
Hence, the mean and standard deviation of X are 18 and 9.24, respectively
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what is standard deviation round3d to one decimal place
The function P(x) is mapped to I(x) by a dilation in the following graph.
Which answer gives the correct transformation of P(x) to get to I(x)?
The correct transformation of P(x) to get I(x) is I(x) = 2P(x)
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
From the graph of I(x) and P(x), we can see that:
I(x) = 2P(x)
The correct transformation of P(x) to get I(x) is I(x) = 2P(x)
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Jessica’s credit card is on a 30-day billing cycle, and it computes finance charges using the adjusted balance method. the following table details jessica’s use of her credit card in the month of october. date amount ($) transaction 10/1 1,240.55 beginning balance 10/2 36.43 purchase 10/10 75.00 payment 10/13 131.79 payment 10/20 41.52 purchase 10/22 25.00 purchase what is jessica’s adjusted balance for october? a. $1,136.71 b. $1,033.76 c. $1,140.55 d. $1,240.55
Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.
What is the adjusted balance method?In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.
Details of transactions for the month of October are given as:
Date Transaction/amount Details
10/1 $1,240.55 beginning balance
10/2 $36.43 purchase
10/10 $75.00 payment
10/13 $131.79 payment
10/20 $41.52 purchase
10/22 $25.00 purchase
Total balance at the end of October
= 1240.55+36.43-75-131.79+41.52-25
Total balance at the end of October =$1136.71
Therefore, Jessica’s adjusted balance for October is $1136.71.
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Answer: b.) 1,033.76
Step-by-step explanation:
look at the screenshot
Answer:
37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.
math student55 or dino please help
1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?
Answer:
a = ±6x
b = ±7
Step-by-step explanation:
1.
a² = 36x²
a = ±√(36x²)
a = ±6x
2.
b² = 49
b = ±√(49)
b = ±7
In a certain area of a large city, it is hypothesized that 40 percent of the houses are in a dilapidated condition. A random sample of 75 houses from this section and 90 houses from another section yielded a difference of 0.09. If there is no difference between the two areas in the proportion of dilapidated houses, what is the probability of observing a difference this large or larger?
Using the normal distribution and the central limit theorem, it is found that there is a 0.24 = 24% probability of observing a difference this large or larger.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the mean and standard error are given by:
[tex]\mu_I = 0.4, s_I = \sqrt{\frac{0.4(0.6)}{75}} = 0.0566[/tex]
[tex]\mu_{II} = 0.4, s_{II} = \sqrt{\frac{0.4(0.6)}{90}} = 0.0516[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]\mu = \mu_I - \mu_{II} = 0.4 - 0.4 = 0[/tex]
[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0566^2 + 0.0516^2} = 0.0766[/tex]
The probability of observing a difference this large or larger is given by P(|Z| > Zx), in which Zx is the z-score when X = 0.0766. Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.09 - 0}{0.0766}[/tex]
Z = 1.175.
Hence the probability is P(|Z| > 1.175), which is 2 multiplied by the p-value of Z = -1.175. Then:
2 x 0.12 = 0.24.
0.24 = 24% probability of observing a difference this large or larger.
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Naoki asked 200 students about their favorite movie genres. Of the 105 students who preferred comedy, 68 of them were girls. 94 of the students surveyed were boys. Construct a two-way table summarizing the data.
Here is the completed two-way frequency table:
Comedy Action Total
Boys 37 57 94
Girls 68 38 106
Total 105 95 200
How to complete the two-way table?Number of boys that prefer comedy = number of students that prefer comedy - Number of girls that prefer comedy
105 - 68 = 37
Number of boys that prefer action = total numer of boys - Number of boys that prefer comedy
94 - 37 = 57
Total number of students the prefer action = Total number of students - total number of students that prefer comedy
200 - 105 = 95
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(2)•(4.5)=? Fill in the missing number in the equation
Answer:
9
Step-by-step explanation:
twice the value of 4.5 equals 9
Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S
A college student takes out a $ 7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): a. if the bank charges 3.8% interest each year? b. if the bank charges 5.3% interest each year?
Answer:
Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5
How many feet are in 1 yard?
Answer:
Step-by-step explanation:
there are 3 feet in a yard
1 foot = 12 inches
3 feet = 36 inches
36/12 = 3 feet
please me please pls
the line passes through the point ( - 8 ; - 2)
so f(-8) = - 2
I NEED THIS ASAP PLEASE
Answer:
21
Step-by-step explanation:
Write a quadratic function f whose zeros are -3
Answer:
x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.
Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31
The new account balance by deposit of $378.42 will be $3014.83.
What is addition?When anything is increased in the already existing quantity then it is termed the addition.
Now it is given in the question that
Selma deposited an amount of = $378.42
Account balance =$2636.41
Now the new balance will be = New amount + Previous balance
[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]
Thus new account balance by deposit of $378.42 will be $3014.83.
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Answer:
Step-by-step explanation:
c
I need help please….
Answer:
C. 7/20
Step-by-step explanation:
There are 20 arrival times on the table.
7 of those twenty are before 8:20.
p(before 8:20) = 7/20
Answer: C. 7/20
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average is $150. 00 with a standard deviation of $30. 20. The manager collects 40 random receipts and finds that the average is $160. Complete a hypothesis test with a significance level of 2. 5% to determine if the average customer spends more in his store than the national average. Which of the following is a valid conclusion for the manager based on this test? The customers spend more than the national average in his store. The manager should decrease prices in his store. The customers do not spend more than the national average in his store. The customers in his store just come from a rich neighborhood.
The valid conclusions for the manager based on the considered test is given by: Option
When do we perform one sample z-test?One sample z-test is performed if the sample size is large enough (n > 30) and we want to know if the sample comes from the specific population.
For this case, we're specified that:
Population mean = [tex]\mu[/tex] = $150Population standard deviation = [tex]\sigma[/tex] = $30.20Sample mean = [tex]\overline{x}[/tex] = $160Sample size = n = 40 > 30Level of significance = [tex]\alpha[/tex] = 2.5% = 0.025We want to determine if the average customer spends more in his store than the national average.Forming hypotheses:
Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: [tex]H_0: \mu_0 \leq \mu = 150[/tex]Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically [tex]H_1: \mu_0 > \mu = 150[/tex]where [tex]\mu_0[/tex] is the hypothesized population mean of the money his customer spends in his store.
The z-test statistic we get is:
[tex]z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094[/tex]
The test is single tailed, (right tailed).
The critical value of z at level of significance 0.025 is 1.96
Since we've got 2.904 > 1.96, so we reject the null hypothesis.
(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).
Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.
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Answer:
A
Step-by-step explanation:
Select the correct answer.
which function is continuous across its domain?
Answer:
B
Step-by-step explanation:
If the probability that a person lives in an industrialized country of the world is 1/5 find
the probability that a person does not live in an industrialized country
Answer:
4/5
Step-by-step explanation:
5/5 - 1/5 = 4/5 is the probability that a person does not live in an industrialized country
The P( person does not lives in an industrialized country ) = 4/5
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
P( person lives in an industrialized country ) = 1/5
Now, using the Completement probability
P ( person lives in an industrialized country ) + P( person does not lives in an industrialized country ) = 1
P( person does not lives in an industrialized country )
= 1- P ( person lives in an industrialized country )
P( person does not lives in an industrialized country )
= 1- 1/5
= 4/5
Hence, P( person does not lives in an industrialized country ) = 4/5.
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#SPJ2
The scores at a golf course recorded last year followed a normal distribution with mean 78 and
standard deviation 11. you choose an srs of 15 scores and calculate xbar = mean score. which of
the following are the mean and standard deviation of the sampling distribution of x bar?
Using the Central Limit Theorem, it is found that the mean of the sampling distribution is of 78 and the standard deviation is of 2.84.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this problem, for the population, we have that [tex]\mu = 78, \sigma = 11[/tex].
Then, considering samples of n = 15, we have that the standard deviation is given by:
[tex]s = \frac{11}{\sqrt{15}} = 2.84[/tex].
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Which expression is equivalent to n2 26n 88 for all values of n?
The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is n² + 26n + 88
Put that expression to get the solution
n² + 26n + 88 = 0
n² + 22n + 4n + 88 = 0
n(n + 22) + 4(n + 22) = 0
(n + 4)(n + 22) = 0
The value of n is negative 4 and negative 22.
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An office decreases paper waste by
35%. Originally the office produces
w pounds of waste.
Part A
reads forx nights? Which expression represents the
waste reduction?
A. w - 35
B. 1.35w
C. 0.35w
D. w-0.35w
Part B
How much paper waste do they
produce now, if they originally
produced 8 pounds per month?
The expression that represents waste reduction is w - 0.35x.
The paper waste produced now is 5.2 pounds per month.
What is the expression that represents waste production?The exression that represents waste production is the total amount of waste generated less athe reduction in waste.
w - 0.35x
Waste now produced = 8 - 0.35 x 8 = 5.2 pounds
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20x = 1029y find the value of x and y.
Answer:
find value of X and y and you can get answers
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
why does no one love me
Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.
hope that helps.
What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth
[tex]\rightarrow[/tex]Radius(r) of sphere = 3m
To Find:-[tex]\rightarrow[/tex] Volume of the sphere.
Formula Used:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]
Solution:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]
Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]
____________________________________
Hope it helps you:)
Ms. Tranquille is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is
[tex]4\frac{1}{2} [/tex]
inches tall. How wide should the scale drawing be if the actual width is 48 meters?
PLEASE HELP I WILL MARK YOU BRAINIEST
I need help please!!!!!
Answer:
330 ft^2
Step-by-step explanation:
See attached image
What is the volume of this figure?
Enter your answer in the box.
yd³
Answer:
4095
Step-by-step explanation:
This Is for the 4.07 K-12 Quiz! <3
Answer:
4095 yd³ for K12
Algebra
U perpendicure
All changes saved
4. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: -2x+5y=3
Equation 2: 2y=5x+1
perpendicular
Neither
parallel
Answer: Neither
Step-by-step explanation:
Determine the intercepts of the line.
Do not round your answers.
Y=5x-13
Answer:
y intercept:(0,-13)
x intercept: (13/5,0)
Step-by-step explanation:
The way we find intercepts (both x and y) is to plug in zero.
x int:
We set y to 0:
0=5x-13
add thirteen to both sides
13=5x
x=13/5
y int:
set x to zero
y=5(0)-13
y= - 13