Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.
What does the Central Limit Theorem state?It states that 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].
In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:
[tex]\mu = p = 0.7[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
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Write an equation of the line in slope-intercept form.
y=
Answer:
The equation of the line in slope intercept form is y=1/3x+2
Step-by-step explanation:
x is bigger than y. The difference between x and y is 18. Find x and y.
Answer:
x can be 20
y can be 2
Step-by-step explanation:
i hope i will help you
Please help and Please write real equation for the answer thank you
Answer:
f(x) = (3x -12)/(x² -7x +12)
Step-by-step explanation:
The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...
horizontal asymptote: y = 0vertical asymptote: x = 3hole: (x, y) = (4, 3)y-intercept: (0, -1)__
The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.
At this point, the function is tentatively ...
[tex]f(x)=a\dfrac{x-4}{(x-3)(x-4)}[/tex]
Evaluating this at the y-intercept, x=0, gives ...
f(0) = -1 = a/(0 -3) = -a/3
a = 3 . . . . . multiply by -3
Then our rational function, consistent with all of the features of the graph, is ...
[tex]f(x)=\dfrac{3(x -4)}{(x -3)(x -4)}\\\\\boxed{f(x)=\dfrac{3x-12}{x^2-7x+12}}[/tex]
Since the sample size is always smaller than the size of the population, the sample mean a. must be larger than the population mean b. can be smaller, larger, or equal to the population mean c. must be equal to the population mean d. must always be smaller than the population mean
Using the mean concept, it is found that the correct option regarding the sample mean is given by:
b. can be smaller, larger, or equal to the population mean.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
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without solving what can you tell about the solution to this equation?
Answer:
A
Step-by-step explanation:
B could be any number, and given that there is no sum, you cannot possibly determine what number B is.
Answer:
A
Step-by-step explanation:
An infinite solution has both sides equal.
In question 1, the left part is equal to the right part
PLEQSE HELP ME WITH THIS!!
) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>
Answer:
600in³
Step-by-step explanation:
the equation for volume is:
V=s*3
(s is a varible which means LengthxHeightxWidth)
step 1
V= (10")(5")(12")
then it equals your answer
up above is the answer.
Hope it help you out.
Don't forget to label.
Evaluate the expression when a=-3 and c=5.
6c-a
Answer:
33
Step-by-step explanation:
We can plug in the values for a and c
[tex]6(5)-(-3)[/tex]
[tex]30-(-3)[/tex]
[tex]=33[/tex]
Therefore, the value of the expression is 33.
#LearnWithBrainly
Answer:
33
Step-by-step explanation:
Given values:
a = -3c = 51. Substitute the values in the expression
[tex]\implies 6c - a[/tex]
[tex]\implies 6(5) - (-3)[/tex]
2. Simplify the expression
[tex]\implies 6(5) - (-3)[/tex]
[tex]\implies 30 - (-3)[/tex]
[tex]\implies 30 + 3[/tex]
[tex]\implies 33[/tex]
can someone please help me out with this logarithm equation
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
•— QUESTIONLogarithmic equation : log2 + log x = 1•— ANSWERThe answer is x = 5•— SOLUTIONlog¹⁰2+ log¹⁰ x = 1x >0log¹⁰2 + log¹⁰ x = 12x = 10[tex] \times \frac{10}{2} [/tex]x = 5•— Therefore, the answer is x = 5
[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]
P. 1. Evaluate the double integral
The given double integral results [tex]\frac{e^8-1}{4e^8}=0.25[/tex]
IntegrationThe integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.
For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:
For constant function - ∫b dx = b ∫ dx= bx+CFor integration by parts - ∫u v dx = uv -∫v duFor exponential function - [tex]\int\ e^x \, dx[/tex] =[tex]e^x+C[/tex]Changing the order integration
[tex]\int _0^2\int _0^xe^{-2x^2}dydx[/tex]
[tex]\int _0^2xe^{-2x^2}dx[/tex]
[tex]\frac{e^8-1}{4e^8}=0.25[/tex]
The total price of 5 pounds of bananas was $1.95. What was the price per pound?
Answer:
Well you divide the total of 1.95/5
.39 cent
Answer:
you would need to do 1.95/5 and that equals 39 cents so your answer would be .39
Help picture below problem 12
Answer:
124°
Step-by-step explanation:
Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.
if x-y= -10 and x-y=2 what is the value of x
Answer:
No solutions
Step-by-step explanation:
if x-y=-10, then x<y
but in x-y=2, x>y
x cannot be bigger than and less than y at the same time
. A recipe that serves 6 people calls for 4 cups of milk. How many cups of milk are needed to serve 15 people?
Answer:
10 cups
Step-by-step explanation:
6 people : 4 cups
15 people : x cups
15/6 = 2.5
4 x 2.5 = 10 cups
Hope this helps :)
(And sorry before, I was a little mixed up)
Answer:
10
Step-by-step explanation
Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers
B. f(x) = csc(x - pie ) + 2 = - csc(x) + 2
C. f(x) = - csc(x - 2pie) + 2 = - csc(x) + 2
F. f(x) = - sec(x - 9pie/2 ) + 2 = - sec( x - 4pie - pie/2 ) + 2
= - sec(x - pie/2) + 2 = - csc(x) + 2
Tina and Sam are eating from the same pizza Tina eats 1/4 of the pizza and Sam eats 1/2 of the pizza how much of the pizza did they eat together
Step-by-step explanation:
The amount of pizza Tina eat
[tex] = \frac{1}{4} \\ [/tex]
The amount of pizza Sam eat
[tex] = \frac{1}{2} \\ [/tex]
The amount of pizza they eat together
[tex] = \frac{1}{2} + \frac{1}{4} \\ [/tex]
[tex] = \frac{1}{2} \times \frac{2}{2} + \frac{1}{4} \times \frac{1}{1} \\ [/tex]
[tex] = \frac{2}{4} + \frac{1}{4} \\ [/tex]
[tex] = \frac{2 + 1}{4} \\ [/tex]
[tex] = \frac{3}{4} \\ [/tex]
A new board game comes with a deck of 20 cards: 5 red, 3 blue, 2 orange, and 10 green.
After the deck is shuffled, the player is to choose the top card and note its color, replace
the card, shuffle the deck again, and then choose the top card again and note its color.
What is the probability that both cards selected are blue?
A.3%
B.2.25%
C.9%
D.6.25%
Answer:
B
Step-by-step explanation:
3/20x3/20=
15/100x15/100
Men's Shoe Sizes The shoe sizes of eight different men were used to create the box plot above. Which of the sets of measurements below matches the given box plot? A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12 B. Shoe Size: 7, 9, 9, 9, 10, 11, 11, 12 C. Shoe Size: 7, 8, 8, 8, 8, 11, 11, 12 D. Shoe Size: 7, 8, 8, 9, 10, 10, 10, 12
Answer:
The answer is
→ A. Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12
Step-by-step explanation:
Hope this helped! :^)
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Submitted on 4/16/2022 at 5:38 PM
(To avoid plagarism, by users whom decide to copy.)
How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.
Answer:
(-2,-2)
Step-by-step explanation:
Answer:
f(x)=(x+2)2−3 or (x−(−2)2−3
Step-by-step explanation:
Vertex form of equation is
f(x)=a(x−h)2+k
Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using
(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,
Louis wants to carpet the rectangular basement. The basement has an area of 874 square feet. The width of the basement is 2/3 it’s length. What is the length?
Answer:
582.6
Step-by-step explanation:
2/3 x 874 = 582.6
what is the mean of these number 8 40 50 85 1 5 46 65 41 13 34 67 53 71 44
Answer:
41.53
Step-by-step explanation:
add all the numbers and divide by how much there is
623 /15
41.53
hope this helps!!
A ladder 15 feet long is leaning against a house. The base of the ladder is pulled
away from the wall at a rate of 5 ft/sec. How fast is the top of the ladder moving
down the wall when its base is 1 feet from the wall? Round your answer to two
decimal places.
Answer:
it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.
Step-by-step explanation:
In this problem. We have a ladder that's leaning against the wall of a building. KR ladder is 13 feet long. Okay, I'm going to go ahead and label that l for ladder. You see, we form a right triangle here. I'm gonna label the horizontal acts and the vertical. Why? We are told that the bottom of the ladder is moving away from the building at a rate off 0.5 feet per second. So that's DX DT. Secret will 0.5 feet per second. What we're trying to find is how quickly the top of the ladder is moving down the wall when the base of the ladder is five feet from the wall. Okay, so the point where X is five feet, we want to know how quickly the latter is moving down the wall. So we have a Pythagorean theorem here. X squared plus y squared is equal to elsewhere. I want to go ahead and substitute in 13 for L. Because that is constant. It's not going to change so we can go ahead and put in 13. I want to take the derivative of both sides with respect to t. I'm gonna have to X dx DT plus two. Why d y d t and that's going to be equal to will. The derivative of a constant is just zero. Now I'm gonna substitute in what? We know. I have a two here. I know. Access five. I knew. Know that DX DT is 0.5. I do not know why at this point, OK, But I know I'm trying to solve for d y t t. So I'm gonna go have put that in there. So off to the side. I have to figure out what? Why is well using my migrant there? I'm here. I know access five I'm solving for why? And I know l is 13. So why squared is going to be equal to 13 squared minus five squared, which is 144. Why is equal to 12 so I can go ahead and put 12 in here going to calculate this out? This is gonna be five plus 24 d Y d t is equal to zero. 24 d Y d t is going to be equal to negative five, so it is equal to negative 5/24 feet per second, and it's negative because the ladder, the top of the ladder, is moving down the wall, so we have a negative rate.
The top of the ladder moving down the wall when its base is 1 feet from the wall is 6.86 ft per second.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that the base of the ladder is pulled away from the wall at a rate of 5 feet per second when its base is 1 feet from the wall. Then the time will be;
Speed = distance/time
2 = 7/t
t = 7/2 = 3.5 seconds
Using pythagorean theorem to get the length L of the wall;
L² = 25² - 7²
L = 24
The ladder will move down the length at the same time.
Rate = 24/3.5
Rate = 6.86 ft/s
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The function f is defined as follows.
f(x) =5x² +8
If the graph off is translated vertically downward by 5 units, it becomes the graph of a function g.
Find the expression for g(x).
Answer:
g(x) = 5x² + 3
Step-by-step explanation:
8 units are added directly to each input so just subtract 5 from that to get + 3.
What is the vertex for this function?
y=2x^2−12x+16
(-2, 12)
(-2, 3)
(-12, 36)
(3, -2)
Answer:
Step-by-step explanation:
hello :
y=2x²−12x+16
y = 2(x²-6x+9-9)+16
y = 2(x-3)²-18+16
y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)
Which expression is equivalent to (2x + 7x*) - (5x² - 4x)?
A
–3x²+11
B
–3x²+3
2x + 11x3 - 5x2
2x5 - 3x) - 5x
Answer:
5x^2 + 13x
Step-by-step explanation:
PLEASE HELP ME WITH THIS!! ILL GIVE BRAINLIEST
Answer:
C. (x , y) ----> (y , - x)
hope this helps :)
How can we use the distributive property to find an expression equivalent to
15(x + 2)? Place the steps in order.
CLEAR
Answer:
15x+30
Step-by-step explanation:
multiply 15 and x + multiply 15 and 2
15x+30
I NEED HELP ASAP NO LINKS PLEASE I WILL MARK YOU BRAINLIEST
IF YOU DO NOT KNOW THE ANSWER PLEASE DO NOT EVEN TYPE A SENTENCE UDEE THIS THREAD
Answer:
354.5
Step-by-step explanation:
The area of a circle is calculated as A = πr².
Answer:
358.36(rounded to nearest hundredth)
Step-by-step explanation:
area of sector =
[tex] \frac{120}{360} \times area \: of \: circle \\ = \frac{120}{360} \times (3.14 \times {18.4}^{2} ) \\ = 354.3594667 \\ = 354.36(nearest \: hundredth)[/tex]
Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the probability of observing: exactly 3 tails.
Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.
The probability of 3 tails is P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]
0.125 = 12.5% probability of observing exactly 3 tails.
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How many terms are there in v/3 + 2 x 5
Answer:1
Step-by-step explanation:
terms are separated by + or - signs
