Answer:
C. reduce the probability that the sum of immaterial and/or undetected misstatements in the financial statements is less than materiality for the financial statements as a whole.
Step-by-step explanation:
This is the likely answer going by the relationship between the undetected misstatement and the materiality for the financial statements.
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. The distribution of this particular variable is very right skewed.(a) Suppose we let (X-bar) be the mean number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that (X-bar) is less than 2?(b) Now let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the probability that X is less than 2?
Answer:
The probability that sample mean is less than 2 is 0.1423.
Step-by-step explanation:
Let X denote the number of accidents per week at a hazardous intersection.
It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.
(a)
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
And since the distribution of X is not specified, the probability cannot be computed.
(b)
In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.
Compute the probability that sample mean is less than 2 as follows:
[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]
Thus, the probability that sample mean is less than 2 is 0.1423.
I need help with this please
Chad wants to order pizza for a party, and he can spend no more than $45.
He'll order 4 large pizzas and a $5 salad. How much can he spend on each
pizza if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Answer: $8 or less
B. Inequality: 5x + 4 < 45
C. Inequality: 4x + 5 < 45
D. Answer: $10 or less
Answer:
Inequality: 4x+5<45, $10 or less
Step-by-step explanation:
Sallad costs $5. Therefore, the total cost of the pizzas is $40 ( $45-$5). Then since they are 4 pizzas, you find the quotient of ($40÷4)
Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight
Answer:
12
Step-by-step explanation:
(3+x)+x=27
2x+3=27
2x=24
x=12
What is the equivalent ratios of 4:12
Answer:
8:24
Step-by-step explanation:
Just multiply 4*2 and 12*2
Hope it helps
Answer:
8:24, 24: 72, 16:48
Step-by-step explanation:
There's a lot just multiply them by the same number
hey everyone! I need help with 2 things! the first one is what 9+(-8) and -5+-4
Answer:
1. 9+(-8) = 1
2. -5+-4 = -9
Step-by-step explanation:
What is the u equal to -4=u/2-8
Answer:12. V is not needed, and just substitute the letters with the numbers the correspond to.
Step-by-step explanation:
To finish a certain job in 8 days, 6 workers are needed. If it is required to finish the same job in 2 days advance, how many workers have to work? *
8 points
Answer: 96 workers
Step-by-step explanation:
First you multiply 8 and 6 then by 2.
8 x 6= 48
48 x 2= 96
96 workers to help the business
The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number
Answer:
smaller number = - 12
larger number = -2
Step-by-step explanation:
x + y = - 14
x - y = 10 Add
2x = - 4 Divide by 2
x = -4/2 = - 2
-2 + y = - 14 Substitute - 2 = x in x + y = - 14
y = - 14 + 2 Combine
y = - 12
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:
a. What is the expected value of the sample mean of their weights?
b. What is the standard deviation of the sampling distribution of the sample mean weight?
c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?
d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit?
Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
a
The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]
Can y’all determine the measure of angle a
Answer:si
Step-by-step explanation:
what is the slope of (-4,-4) and (16,1)
Answer:
1/4
Step-by-step explanation:
-4 - 1 = -5
-4 - 16 = -20
-5/-20 = 1/4
I have no idea what to do, i need the answer!!!
Answer:
y = -x - 6
Step-by-step explanation:
From point A, to get to point C, you would need to go down 2 and right 2 which is -2/2 and -2/2 is the same thing as -x.
The y-intercept is -6 because the line goes thorough -6 in the y axis.
Hope this helps and pls do mark me brainliest if you can:)
Which number is divisible by 3?
A) 1,794
B) 1,912
C) 1,270
D) 473
Answer:
Step-by-step explanation:
should be A.
Subtract using the number line. - 1/3-(-1/2)
Answer:
answer is 1/1
Step-by-step explanation:
16.43 in word form math
Answer:
Sixteen and forty-three hundredths
Step-by-step explanation:
Please help! BRAINLIEST to correct answer!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]
[tex]2x( {x}^{2} + x - 20) = [/tex]
[tex]2x(x - 4)(x + 5)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( a )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The first option is the correct one.
[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]
[tex]2x( {x}^{2} + x - 20)[/tex]
[tex]2x(x - 4)(x + 5)[/tex]
What is the median 5,7,9,10,16,17,20
Answer:
10
Step-by-step explanation:
For an odd number of values, the median is the middle value when you write the values in ascending order.
5, 7, 9, 10, 16, 17, 20
The median is 10.
how many terms are there in the expression 2x - 3y + 8?
Answer:
Three. 2x, -3y, and 8.
Step-by-step explanation:
For every constant or variable, there is a term.
In this expression, there are two variables (x and y) and there is a constant (8).
Hence, there are three terms.
Hope this helped!
I need help on this one
Please help & thank you.
Answer:
9
Step-by-step explanation:
2(5y°) = 90° ⇒ y = 9
Let the factors, a1, a2, … a9 of a9 be written in a square 3 by 3 array as indicated. Let a1 Help me plz
Answer:
61.2
Step-by-step explanation:
To solve this, we would have to use the arithmetic progression formula
S(n) = a + (n - 1) d, where
S(n) = is the value of the nth term
a = value of the first term
n = the nth term we're interested in
d = difference between successive terms
We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44
If so, we can use this to get our "d", saying
44 = 1 + (6 - 1) d
where
44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have
44 = 1 + 5d
5d = 44 - 1
5d = 43
d = 43/5
d = 8.6
This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term
S(n) = 1 + (8 - 1) 8.6
S(n) = 1 + 7 * 8.6
S(n) = 1 + 60.2
S(n) = 61.2
Therefore, the 8th term is 61.2
-32-38r=84+-112r+-42
Answer:
Move r to left or right then divide the numbers
At the restaurant, the cost of the meal before tax was
$40. The tax is 8.5%, and Sheri wants to leave at least
an 18% tip. Explain how to approximate the total cost of
the meal.
Answer:
This comes out to around 25 percent. Simply multiply 40 by 1/4 to get 10 dollars.
Step-by-step explanation:
Answer:
Step-by-step explanation:
40x0.085=3.4
40+3.4= 43.4
43.4x0.18=7.8
43.4+7.8=51.212$
1+8 pls help me nowwwwww
Answer:
9
Step-by-step explanation:
The answer is 9. You can figure it out by counting up from 8!
solve equation for Y. 23=5x-2y
Answer:
y=5/2x-23/2 or y=2.5x-11.5
Step-by-step explanation:
First, add 2y to move it to the other side of the equation. This should give you 2y+23=5x. Now, subtract 23, giving you 2y=5x-23. Divide the whole equation by 2 so that y will be by itself. Written in fraction form, it would be: y=5/2x-23/2. Written in decimal form: y=2.5x-11.5.
What is the measure of 1 Explain
Answer:
what measure one
Step-by-step explanation:
What are u talking bout
There is no picture or anything
Answer:
I wish I could help.
Step-by-step explanation:
There is no picture or a complex explanation.
identify the variables in 3a+7b(c-8)
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 120 cm^2?
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
[tex] A = \frac{1}{2}bh [/tex] (1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
[tex] \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) [/tex]
We can find the base by solving equation (1) for b:
[tex] b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm [/tex]
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
[tex] 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) [/tex]
[tex]\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min[/tex]
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?
Answer:
[tex]P(F/E) = 0.6[/tex]
Step-by-step explanation:
If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].
Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]
Here the two events given are [tex]E[/tex] and [tex]F[/tex].
[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]
and [tex]P(E) = 0.5[/tex]
As per the above formula that we have already discussed, the formula can be written as:
[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]