Answer:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Step-by-step explanation:
Information provided
n=100 represent the random sample selected
[tex]\hat p=0.77[/tex] estimated proportion of students that are satisfied
is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
System of hypothesis
We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:
Null hypothesis:[tex]p\leq 0.75[/tex]
Alternative hypothesis:[tex]p > 0.75[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462[/tex]
Now we can find the p value using the alternative hypothesis with this probability:
[tex]p_v =P(z>0.462)=0.322[/tex]
Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%
Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be
retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into
a retirement savings account that will earn 12% compounded monthly. Then one year after
making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after
he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum
worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12%
compounded monthly. How much should the monthly deposits be for his retirement plan?
Answer:
Step-by-step explanation:
Today's Age = 30
Retirement Age = 64
Total Monthly Deposits = ( 64 - 30 ) * 12 = 408
In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%
Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%
Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )
= $100,000 * 7.4864
= $748,642.20
Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )
= $1,000,000 * 0.050535
= $50,534.52
Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52
= $799,176.70
Now the monthly deposit be X
= X * FVAF ( 408 , 1% ) = $799,176.70
= X * 5752.85 = $799,176.70
X = $138.918
Therefore Monthly Deposit = $138.92
What is the range of the data below
23,33,25,16,27,43,29,40,35
Answer: 12
Step-by-step explanation: 35 - 23
Dakota worked at a law firm for 6 years. She earned $173,928 per year. How much money did Dakota earn?
Answer:
1,043,568
Step-by-step explanation:
Multiply.
173,928
x. 6
_______
1043568
There is one missing number in the “Which One Doesn’t Belong” game.
• Select a number that does not belong with any of the numbers. Explain your reasoning.
• Select a number that has a characteristic similar to the other two numbers. Explain your reasoning.
Answer:
I am not I understand the game but
1. 17 doesn't belong cause it a prime number and doesn't dived with any of the other numbers and double digit
2. 4 divides with 216 and 8 and single digit similar to 8
Step-by-step explanation:
75 POINTS. PLZ HURRY
Answer:
https://brainly.com/question/16425127
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
c and e
Step-by-step explanation:meow
Answer:
c and e
Step-by-step explanation:
if f(x)=-x^2 and g(x) = -x^2+4x+5 what is the product
Answer:
[tex]x^{4}[/tex] - 4x³ - 5x²
Step-by-step explanation:
-x²(-x² + 4x + 5) Distribute
[tex]x^{4}[/tex] - 4x³ - 5x²
If this answer is correct, please make me Brainliest!
DeAndre calculated the volume in three ways:
V= 12.5
V= 15.4
V=20.3
Let's focus on DeAndre's first equation.
Explain what the 12 and the 5 represent in the figure.
The 12 represents ...
The 5 represents...
Answer:
The 12 represents area of base of cuboid.
The 5 represents height of cuboid.
Step-by-step explanation:
Given:
DeAndre calculated the volume of the cuboid in three ways:
V= 12.5
V= 15.4
V=20.3
To find: what the 12 and the 5 represent in the figure
Solution:
Volume of cuboid is equal to length × breadth × height
or Area of the base of cuboid × height
Length = 4 units
Breadth = 3 units
So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units
Height of cuboid = 5 units
The 12 represents area of base of cuboid.
The 5 represents height of cuboid.
$32 for a 14 2/19 km taxi ride
Answer:
What about it? If you need to know how much that is per km, it would be about $2.27 per km
Step-by-step explanation:
A theater can seat 160 people . If the theater is 60%full, how many more can fit in the theater
Answer:
64 people can fit in the theater.
Step-by-step explanation:
If 60% is full then calculate how many people is it
[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]
64 is 40% of 160
So this many people can be accommodated in the theater
Answer:
64 more people can fit in the theater
Step-by-step explanation:
You need to find 60% of 160
10%=16 (divided by 10)
16×6=96
160 (total people)-96(60%)=64
If there is a strong correlation between the variables a and b, a may cause b.
True or false?
Answer:
true
Step-by-step explanation:
.
Which angle has a positive measure?
Answer:
There are two qestions that both have different answers. Here are both of them. One is B one is A
Step-by-step explanation:
Answer:
A on Edge 2023
Step-by-step explanation:
WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
+ At time 0 (beginning), the volume is 5 (feet^3) of sand.
+ After 1 minute, it lefts: 90% of 5 = 0.9*5
+ After 2 minutes, it left 90% of (0.9*5) = 0.9*(0.9*5)
or
[tex]5.(0.9)^{2}[/tex]
+ After 3 minutes, it left 90% of [tex]5.(0.9)^{2}[/tex]
or
[tex]5.(0.9)^{3}[/tex]
.......
+ After x minutes, it left 90% of [tex]5.(0.9)^{x-1}[/tex]
or
[tex]5.(0.9)^{x}[/tex]
So the answer is [tex]5.(0.9)^{x}[/tex], that means C
What is the value of 5x+3 when x = 4?
Answer:
Step-by-step explanation:
5(4)+ 3
20+3
23
Solve for x
8 (V2 - x) = 11
Answer:
V^2 - 11/8
Step-by-step explanation:
8(V^2 - x) =11
V^2 = 11/ 8 + X
X= V^2 - 11/8
Answer:
x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]
Step-by-step explanation:
Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11
Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]
Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]
Solve for the variable 8x + 15 = 63
Answer:
6
Step-by-step explanation:
63-15 =48 48/8 is 6
Answer:
x = 6
Step-by-step explanation:
8x + 15 = 63
8x = 63 - 15
8x = 48
x = 48/8
x = 6
A boathouse costs $2750 a month to operate, and it spends $650 each
month for every boat that it docks. The boathouse charges a monthly fee of
$900 to dock a boat. If n is the number of boats, which equation represents
the profit function of the boathouse?
O A. p = 2750n + 250
O B. p= 900n + 2750
O c. p = 250n- 2750
O D. p = 650n + 2750
Answer: P=250n-2750
Step-by-step explanation:
The profit function of the boathouse is given as follows p = 250n- 2750.
What is the profit function?The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.
The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.
The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.
Therefore, the profit function of the boathouse is given by the revenue minus the cost:
p = 900n - (2750 + 650n)
Simplifying this expression, we get:
p = 250n - 2750
Thus, the answer is (c) p = 250n - 2750.
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What’s the correct answer for this? Select the ones that apply
Answer:
C & D
Step-by-step explanation:
In both these pairs, the x-coordinates are not changed while the y-coordinates are having a difference of 8 between them so they are really much corresponding
9-1=8
-3-(-11)=-3+11=8
Find the area of the shape shown.
Answer:
well area is the space inside of a shape. so you would multiply 2 by 4 because there are 4 sides.
Step-by-step explanation:
Answer: area is 10
Step-by-step explanation:
add top and bottom base
8+2=10
then divide by 2
10/2 = 5
then times 5 by 2
5*2=10
8+2/2 * 2 = 10
10 = area
-16 + 5x = -7(-6 + 8x) + 3 solvde for x
Answer:
X=1
Step-by-step explanation:
I don’t understand it
Answer:39.6x + 26.4
Step-by-step explanation:
length=3x+2
Width=13.2
area of rectangle=length x width
area of rectangle=(3x+2) x 13.2
area of rectangle=13.2(3x+2)
area of rectangle=39.6x + 26.4
Answer:
39.6x + 26.4
Step-by-step explanation:
13.2 (3x + 2)
Multiply each term in the parentheses by 13.2.
13.2 × 3x + 13.2 × 2
Multiply the numbers.
39.6x + 13.2 × 2
39.6x + 26.4
39.6x + 26.4
A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical
probabilities. Use the drop-down menus to explain your answer.
There should be a
Choose...
number of trials. With Choose...
flips of the coin, the experimental probability will likely
approach the theoretical probability of Choose...
Answer:
THere will be 8 heads and 2 tails
Step-by-step explanation:
I don't know
How does the graph of g(x) = x+5+2 compare to the graph of the parent function f(x) =
х
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given functions are f(x)=x and g(x)=x+5+2.
Translation rules:
When the shape is moved towards the right by k units, then replace x with x + k.
When the shape is moved up by k units, then replace y with y + k.
So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.
Therefore, option B is the correct answer.
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Find the first five terms of the geometric sequence defined by a (n)=10
(.1)^n
Answer:
Step-by-step explanation:
a(1) = 10(.1)^1 = 1
a(2) = 10(.1)^2 = 10(0.01) = 0.1
a(3) = 10(.1)^3 = 10(0.001) = 0.01
a(4) = 0.001
a(5) = 0.0001
what is k in 26-k/13=28
Answer:
k = -338
Step-by-step explanation:
The goal is to isolate k on one side, so let's start by multiplying 13 on both sides to get rid of the demoninator. After we do that, we'll be left with:
26 - k = 28(13)
26 - k = 364
Subtracting 26 from both sides gives us:
-k = 338
Multiplying both sides by -1 to make k positive gives us:
k = -338
Hope this helped! :)
Which expressions are equivalent to 7.7.7.7.7.7 ?
Answer:
1.84877
Step-by-step explanation:
tnvvvvvvvvvvv4kvjk5nvj5tnnjt5
Answer:
A and C
Step-by-step explanation:
Mr. Cooper ask his students whether they prefer to go to the aquarium or the planetarium for a field trip. The table shows the result
table says:
response | percent
---------------------------------
aquarium | 50
---------------------------------
planetarium | 25
suppose the rest of the class had no preference what is the ratio of students who have no preference to the students who prefer to go to the aquarium
1:5 1:4 1:3 1:2
Answer:1/2
Step-by-step explanation:
It is 1/2 because 50 percent is the aquarium and the other 50 percent is unknown.
The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of A and B (A intersection B) is:
A) 2.5%
B)7 %
C)10%
D) 14%
What the the Quotient 7/12 divided by 2/5
Answer:35/24
Step-by-step explanation:
7/12 ➗ 2/5
Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted
7/12 x 5/2
(7x5)/(12x2)
35/24
The quotient of 7/12 divided by 2/5 is 35/24.
To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.
Here are the steps:
Write down the first fraction: 7/12
Write down the reciprocal of the second fraction: 5/2
Multiply the first fraction by the reciprocal: (7/12) x (5/2)
Multiply the numerators: 7 x 5 = 35
Multiply the denominators: 12 x 2 = 24
Simplify the fraction, if possible: 35/24
Therefore, the quotient of 7/12 divided by 2/5 is 35/24.
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What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
Angle-Angle-Side Postulate since two angles and one side is congruent to eachother.
Answer:
D. Angle-Angle-Side.
Step-by-step explanation:
The 2 sets of triangles have 2 angles and 1 side congruent so the reason is AAS.
