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
What is the inverse of the function f(x) = 2x
10?
Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)
Answer:
nt cbhhujvti'
Step-by-step explanation:
At an online sports store, Jeremy bought 5 of the same pairs of shorts for him and his friends. He got free shipping because his total was at least $120. What was the minimum price of each pair of shorts? Write and solve an inequality to represent the situation.
Plz help no file
Answer:
24
Step-by-step explanation:
I'm pretty sure that it would be division so 120 divided by 5 is 24
Use the graph to write a linear function that relates y to x
y=
How come the tutors don't work??
Answer:
What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer
the Mods are Annoying and very skeptic of the Guidelines of Brainly.
Can someone help me with this ? it is relative frequency tables
Answer:
Step-by-step explanation:
36/78 = 0.46153,,,, nope.. not a choice
36/123 = 0.2926.... so the last answer looks good
since the great drought left the soil completely useless, the people of that country were forced to______ food from other countries
A. export
B. import
C. report on
D. sell
What is the answer?
Answer:
B import food from other countries
Helpppsppspspspspsp plssss
Answer: About 804.25
Step-by-step explanation:
Do the inverse of the circumference formula and then take the radius and put it into the formula for the area of a circle
What is the constant rate of change shown in the table?
2
4
6
8
Answer:
2
Step-by-step explanation:
Since with every 10 seconds, the distance increase by 20 meters
hence, 20/10 = 2
Mike, Tania, Bill, and Rachael each took many samples from the same
population of students. The number of students in each sample is shown in
the table. Which person's sampling distribution is most likely to closely
approximate the population distribution?
Person taking samples Students in each sample
Mike
79
Tania
23
Bill
37
Rachael
51
A. Tania
B. Mike
C. Bill
D. Rachael
Answer: Mike!
Step-by-step explanation:
What is the probability of the following
1. P (0< z < 1.46)?
Answer:
Approximately [tex]0.428[/tex].
Step-by-step explanation:
(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)
A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)
However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.
Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:
[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].
Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].
On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.
Therefore:
[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].
You buy 25 pounds of tomatoes need 1.7 ounces how many portions can be made
Answer:
14 full potions or 14 portions and 7/10 of the 15th potion
Step-by-step explanation:
25/1.7=14.7058823529
what is the value of 4/15÷2/3
Answer:
2 /5
Step-by-step explanation:
Describe the relationship between the area of a circle and its circumstances
Answer:
[tex]A = \frac{r}{2}C[/tex]
Step-by-step explanation:
Given
Shape: Circle
Required
The area and the circumference (relationship)
This implies that, we write an expression that relates the area and the circumference.
Circumference is calculated as:
[tex]C = 2\pi r[/tex]
Area is calculated as:
[tex]A = \pi r^2[/tex]
The area can be rewritten as:
[tex]A = \frac{2\pi r^2}{2}[/tex]
Further rewrite as:
[tex]A = \frac{r}{2}*2\pi r[/tex]
Recall that:[tex]C = 2\pi r[/tex]
So, the expression becomes
[tex]A = \frac{r}{2}*C[/tex]
[tex]A = \frac{r}{2}C[/tex]
what is 2.7 kg in g. i need a simple answer
. A piece of molding is 12 3/4 feet long. How many 2 1/8-foot pieces can be cut from the this piece of molding? *
Answer:
6
Step-by-step explanation:
12 divided by 6 is 2. 3/4 divided by 6 is 1/8 because 1/4 equals to 2/8. 3/4 quals to 6/8. I'm also not sure if what I said sounded correct.
If f(x)= x squared and g(x)=2x^3- x squared, find f(x)-g(x).
Answer:
[tex]f(x)-g(x)=2x^2(1-x)[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=x^2\\\\g(x)=2x^3-x^2[/tex]
We need to find the value of f(x)-g(x).
Put the values of f(x) and g(x). So,
[tex]f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)[/tex]
So, the value of f(x)-g(x) is equal to [tex]2x^2(1-x)[/tex].
6. An electrician needs to repair a lamp on a wall whose height is 55 m. The lamp
is 11 m below the top most point. She uses a ladder to reach the lamp as shown
in the figure below. If the ladder is inclined at 60 degrees to the ground, what is the length of the
ladder?
Answer:
first one is correct
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answer:
I believe the answer is 1/12
Step-by-step explanation:
the volume of a rectangular prism is length × width × height
Answer:
[tex] \frac{1}{12} \: cubic \: foot[/tex]
Step-by-step explanation:
[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]
Which statement best explains the importance of examining multiple perspectives about an event?
It reinforces a specific opinion about the event.
It determines which accounts are biased about the event.
It provides different and sometimes opposing viewpoints about an event.
It requires the use of both primary and secondary sources to learn about the event.
Answer:
It provides different and sometimes opposing viewpoints about an event.
pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.
Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).
Step-by-step explanation:
The model that illustrates the relationship is 4x=10.404x=10.40
The cost of each ice cream was x=\$2.60x=$2.60
Step-by-step explanation:
Let
x----> the cost of one ice cream
we know that
The linear equation that represent this situation is
4x=10.404x=10.40
solve for x
Divide by 4 both sides
x=10.40/4x=10.40/4
x=\$2.60x=$2.60
Answer:
First answer is y = 2.6 (or answer two)
Second answer is Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)
Third answer is
Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)
Step-by-step explanation:
Correct on edge 2021
and i did the calculations
I hope this helped have a great day!
Pls help !! Pls no links :)
Answer:
A 5 <= A <= 40
Step-by-step explanation:
down point is (5, 50)
up point (40, 350)
so 5 <= A <= 40
Find the volume. Round to the tenth place if appropriate. *
7 cm
20 cm
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
To know more about an expression follow
https://brainly.com/question/23857649
#SPJ5
Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select all that apply.
Answer:
RM 4.05
Step-by-step explanation:
6mnts=70% of 500 is 350, so 150
1 year= 70% of 150 is 105, so 45
1 n half year = 70% of 45 is 31.5, so 13.5
2 years = 70% of 13.5 is 9.45, so Rm 4.05
BETTER ASK HER TO DONATE THE PHONE.....LOL
(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3
Answer:
1)1920 in2 (2)120 in3
Step-by-step explanation:
Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 338 square units. Find the value ofr.
Answer:
r = 7.33 units
Step-by-step explanation:
Given that,
A cylinder has a radius of r units, and that the height of the cylinder is also r units.
The lateral area of the cylinder is 338 square units.
We need to find the value of r.
The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh[/tex]
Put all the values,
[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]
So, the value of r is equal to 7.33 units.
Answer choices
25%
35%
50%
No links no links I will report
Answer:
50%
Step-by-step explanation:
As you know 8 & 8
= 16
and there's 16 dots in all.
So 8% Of 16%
Would lead to 50%
P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!
HELP PLS DUE NOW BRAINLIEST AND A THANKS
Answer:
D
Step-by-step explanation:
The researcher did no prediction or any (possible)
Hope this helps :)