Answer:
If 12,000 are put at an account with 2.5% compound interest in 15 years your total would be $17,379.58
A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and 1996) and 60% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 Millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay off their credit cards each month is greater than this proportion for Millennials
Answer:
We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians
Step-by-step explanation:
Sample proportion 1: Born between 1980 and 1996
sample size n₁ = 450
p₁ = 0,48 p₁ = 48 %
x₁ = 0,48 * 450 x₁ = 216
Sample proportion 2: Born between 1965 and 1971
sample size n₂ = 300
p₂ = 0,60 p₂ = 60%
x₂ = 0,6* 300 x₂ = 180
Test Hypothesis:
Null Hypothesis H₀ p₂ = p₁
Alternative Hypothesis H p₂ > p₁
Samples both big enough to use the normal distribution as an approximation to the binomial distribution.
We assume CI = 95 % then significance level α = 5 % the alternative hypothesis tells us that we need to develop a one-tail test to the right.
z-score is z(c) for α = 0,05 from z-table z(c) = 1,64
To calculate z(s)
z(s) = ( p₂ - p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)
p₂ - p₁ = 0,60 - 0,48
p₂ - p₁ = 0,12
p = ( x₁ + x₂ ) / n₁ + n₂
p = ( 216 + 300) / 450 + 300
p = 516 / 750 p = 0,688 then q = 1 - p q = 0,312
z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)
z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)
z(s) = 0,12 / √ 0,001192
z(s) = 0,12/ 0,03452
z(s) = 3,47
Comparing |z(c)| and |z(s)|
z(s) > z(c)
Then z(s) is in the rejection region. We reject H₀.
We can support the claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians
someone pls help me, i will mark brainliest(no links)
Brian, Pip and Sara share some sweets in the ratio 4:5:1. Brian gets 42 more sweets than Sara.
How many sweets does Pip get?
80
Answer:
i got 70
Step-by-step explanation:
Brain 4 Brain gets 42 more sweets Sara
Pip 5 How many sweets does Pip get?
Sara 1
when b = s + 42 find p b = 4s p = 5s
4s = s + 42 b/4 = s p = 5b/4
3s = 42
s = 14 b = 56 p = 70
I initially found the answer by trail and error, then I could figure out the equation.
s b p
1 4 5
10 40 50
16 64 90
14 56 70
anyone want to help me?
no but seriously I need to finish this right now
1
Find the value of x in the figure below, round answer to the nearest tenth.
38
64°
х
9514 1404 393
Answer:
86.7
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(64°) = 38/x
x = 38/cos(64°) ≈ 86.685
The value of x is about 86.7.
A regional highway uses 8 tollbooths that are open to all vehicles. A chi-square goodness-of-fit test using a significance level of α=0.05 was conducted to determine whether the tollbooths are all used in equal proportions. A chi-square value of χ2=19.1 was calculated with a corresponding p-value of 0.008. Which of the following is correct?
A. There is insufficient evidence to suggest that the tollbooths are not used in equal proportions.
B. There is insufficient evidence to suggest that the tollbooths are used in equal proportions.
C. There is sufficient evidence to suggest that the tollbooths are not used in equal proportions.
D. There is sufficient evidence to suggest that the tollbooths are used in equal proportions.
E. The tollbooths are used in equal proportions.
Answer:
C) There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
Step-by-step explanation:
First of all, we have to understand that this is a question asking to draw a conclusion from the chi-square GOF (goodness of fit) test information that was given in the problem text.
From there, we use the usual sentence format, and in this case, we use the sentence format for when the p-value is less than α:
Since the p-value (0.008) is less than the alpha value (0.05), we reject the null hypothesis ([tex]H_0[/tex]). There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
To elaborate, we get this answer by knowing that since the p-value is so low, the chance of getting a test statistic that extreme (too low or too high depending on the context) is significantly unlikely.
The correct option regarding the significance level is C. There is sufficient evidence to suggest that the toll booths are not used in equal proportions.
How to explain the significance level?In this question, we simply have to deduce a conclusion from the chi-square test information that was given.
In this case, the p-value (0.008) is simply less than the alpha value (0.05), therefore, we will reject the null hypothesis.
This implies that there is sufficient evidence to suggest that the toll booths are not used in equal proportions.
Learn more about significance level on:
https://brainly.com/question/4599596
There are
13
students in a class of
30
who play rugby.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place.
PLSSS SOMEONE HELP
Answer:
i think it might be 0.43
Step-by-step explanation:
Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!
have a nice day
Answer:
43.3% of the students play rugby.
Step-by-step explanation:
13/30 = 0.43333
0.43333*100 = 43.33%
Have a nice day!
and can I maybe have brainliest? Thanks!
b. If x represents a number, does
•x always
represent 40% of that number? Explain your reasoning.
Submit
Answer:
no it doesn't as no is variable.
A farm stand wants to sell fruit to local grocery stores in packages with
baskets of apples, worth $10 apiece, and baskets of peaches, worth $13
apiece. The owner wants each package to include 50 baskets total, and he
wants to sell each package for $566. How many baskets of apples and how
many baskets of peaches should he put in each package?
A. 10 apples, 13 peaches
B. 13 apples, 10 peaches
C. 28 apples, 22 peaches
D. 22 apples, 28 peaches
Answer:
28 apples and 22 peaches
Step-by-step explanation:
<3
Plz guys help me please
Answer:
G(-4,2), H(-3,-4), J(-1,1)
Step-by-step explanation:
The x-values would all become negative.
G(-4,2), H(-3,-4), J(-1,1)
SOMEONE PLEASE help me answer this
Answer:
5.7 m is the answer
Step-by-step explanation:
a = 7m
b = ?
c = 9m
According to the Pythagorean theorem,
a² + b² = c²
7² + b² = 9²
49 + b² = 81
b² = 81 - 49
b² = 32
b = 5.656
Round to the nearest tenth,
b = 5.7 m
what is the equation for 14 more than 5 times more the number is 39
Answer:
14 + 5x = 39
Step-by-step explanation:
first I had to remember the keywords that gave me a hint of what I have to write. I figured out that more is plus ( + ) , times is multiplication ( x ) , and is is the equal sign ( = ).
Which of the following is equivalent to the expression?
Answer:
I did not understand your question.
But the answer is 40.0625
Answer:
we add the powers to have 4-6 =-2
4 to power -2 which gives 0.0625
Please help I’ll mark you as brainliest if correct
Answer:
I think it is 75
Step-by-step explanation:
because you divide 45 by 3 to get 15 then 15 x 5 is 75:)
arrange the following whole numbers in increasing and decreasing order
Answer:
Increasing Order:
34, 71, 269, 976, 16759, 49753, 796542
Decreasing Order:
796542, 49753, 16759, 976, 269, 71, 34
Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients is 4 minutes. A researcher wishes to estimate the mean time to perform dental scaling with 95 percent confidence and a margin of error of ± 0.75 minutes. Given this, what must the sample size be? Round up your answer to the next whole number.
Answer:
n = 110
Step-by-step explanation:
Margin of Error :
Zcritical * s/ sqrt(n)
s = standard deviation = 4
Margin of Error = ±0.75
Zcritical at 95% level of confidence = 1.96
Margin of Error = Zcritical * s/ sqrt(n)
0.75 = 1.96 * 4 / sqrt(n)
0.75 = 7.84 / sqrt(n)
Take the square of both sides
0.5625 = 61.4656 / n
0.5625 * n = 61.4656
0.5625 = 61.4656
n = 61.4656 / 0.5625
n = 109.27217
About 110 samples
Find the value of x in the triangle shown below.
At the bottom it says or no and it wants me to explain
Answer:
You 22/20=1.1
your friend 18/15=1.2
help please i genuinely cant
Answer:
Part A: 3x + 36 = 180
Part B: x = 48
Step-by-step explanation:
A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:
3x + 36 = 180
Solve the equation:
3x + 36 = 180
Subtract 36 from both sides
3x = 144
Divide both sides by 3 to isolate the variable
x = 48
Check your work:
3(48) + 36 = 180
144 + 36 = 180
180 = 180
Correct
Work out
25
% of
401.16
m
Answer:
100.29m
Step-by-step explanation:
Please help........................
Answer:
I think it is 2 one
Step-by-step explanation:
Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.
Answer:
All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.
Step-by-step explanation:
Let's find the volume of each design.
For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.
Therefore, the area of the cross section is:
[tex]A_1=3(2)=6\text{ cm}^2[/tex]
Since the height is 10 cm, the total volume of Design A is:
[tex]V_1=10(6)=60\text{ cm}^2[/tex]
For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.
So, the area of the cross section is:
[tex]A_2=3(2)=6\text{ cm}^2[/tex]
And the height is still 10 cm. So, the total volume of Design B is:
[tex]V_2=6(10)=60\text{ cm}^3[/tex]
Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.
For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.
So, the area of the cross section is:
[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]
And since the height is 10 cm, the volume of Design C is:
[tex]V_3=6(10)=60\text{ cm}^3[/tex]
Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.
In Ivy’s neighborhood, 40% of the homes have a swimming pool. If there are 80 homes in the neighborhood, then how many have a swimming pool?
Answer:
32 homes
Step-by-step explanation:
To get the amount of homes with a pool, simply do
HOMES * 0.40
So 80x0.4 = 32 homes with a pool
i need help with a maths question please answer only if you know and not links
Answer:
x³/4z²
Step-by-step explanation:
Invert and multiply:
48x^5y²/12z^5 x z³/16x²y²=
(48x^5y²)(z³)/(16x²y²)(12z^5)
the y² cancel out
48÷16=3 (on top)
x^5÷x²=x³
12z^5/z³=z²(on bottom)
This leaves a 3x³ on top and 12z² on the bottom. 3÷12=4 (on bottom):
3x³/12z²
x³/4z²
A study will be conducted to investigate whether there is a difference in pain relief for two brands of headache pills, N and P. Participants will be randomly assigned to one of two groups. One group will take pill N when they experience a headache, and the other group will take pill P when they experience a headache. Each participant will record the number of minutes it takes until relief from the headache is felt. The mean number of minutes will be calculated for each group. Which of the following is the appropriate test for the study?
a. A two-sample z-test for a difference between population proportions.
b. A two-sample t-test for a difference between population means.
c. A matched-pairs t-test for a mean difference.
d. A one-sample z-test for a population proportion
e. A one-sample t-test for a population mean
Answer:
b. TWO SAMPLE T TEST FOR POPULATION MEANS
Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN
picking more than two fruits
Rewrite the following phrase as a mathematical expression: twice a number increased by eighteen. 18 n + 2 2n + 18 2 + 18 O2/18 1) NEXT QUESTION 2 ASK FOR HELP
Answer:
2(n+18)
18(2+n)
2•(18•n)
I hope this helps
Help me who here is a master at math I need your help !!
Answer:
88.4ft²
Step-by-step explanation:
oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:
So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:
10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)
So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):
6 x 5.2 ÷ 2 = 15.6
So the area is 15.6ft
Now let's do the triangles under the trapezoid:
So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:
18 - 6 = 12
and we're going to assume that both the triangles are equal:
12 ÷ 2 = 6
6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them
15.6 x 2 = 31.2
So the area of the triangles under the trapezoid is 31.2ft
Now, the trapezoid:
so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:
4 + 12 = 16
16 x 5.2 = 83.2
83.2 ÷ 2 = 41.6
So the trapezoid is 41.6ft
Now we add all of our disgustingness together:
15.6 + 31.2 + 41.6 = 88.4
So, the area of the entire garden is 88.4ft²
hope this helps:)
please help me out, i’ve asked earlier but no one helped
Answer: 147
Step-by-step explanation: you just have to replace n in the equation to 30 giving you:
-3+50(30)
Now solve
-3+150=147
Answer:
[tex]\rm T_{30}= 147 [/tex]
Step-by-step explanation:
Given :-
The nth term of a sequence is -3+5n .And we need to find out the 30th term of the sequence . For that simply substitute n = 30 in the given expression to find out the 30th term .
The nth term :-
[tex]\rm\implies n = 30[/tex]
The sequence :-
[tex]\rm\implies T_n = 5n - 3 [/tex]
On substituting :-
[tex]\rm\implies T_{30}= 5*30-3 \\\\\implies\rm T_{30}= 150 - 3 \\\\\implies\boxed{\rm T_{30}= 147 }[/tex]
Hence the 30 th term is 147 .
Simplify. Please help.
Answer:
I believe it is B
Step-by-step explanation:
if correct pls mark brainliest
Answer:
4^8
Step-by-step explanation:
When multiplying powers, keep the base the same and add the exponents.
4^6 x 4^2 = 4^8