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 median to 132, 183, 191, 237, 251, 277, 279, 334, 448, 599?
Answer:
264
Step-by-step explanation:
(251 + 277) / 2 = 264
. 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.
Please help, super confused!
Answer:
it is B
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]
Find the length of side x in simplest radical form with a rational denominator.
This is a 30-60-90 right triangle.
In this special triangle, opposite 60 degrees = sqrt{3}. Thus, x = sqrt{3}.
Stacy started with $40 In a savings account that earns 5% annually. How much interest will she get in one year?
Answer:
$2
Step-by-step explanation:
She procures 5% of $40 every year. To discover the amount she makes in 1 year, increase 5% and 40,40*5%.Convert 5% to a decimal by isolating by 100.5%/100=0.05 40*0.05=2
what is the value of 4/15÷2/3
Answer:
2 /5
Step-by-step explanation:
Write a verbal sentence for x -18 = 24
Example: I had money but won $116 and ended up with a total of $505.
Answer:
I had a great quantity of apples and used 18 to make a large apple pie for my family and I, then I only had 24 left over.
Step-by-step explanation:
X in the equation represents the amount of apples I have at the beginning of the apple pie making process. Minus 18 represents the apples that are being used for the apple pie, so they are not there anymore. 24 represents the apples left over.
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:
Is g(x)=9+7x a linear equation
Answer:
Yes
Step-by-step explanation:
A linear equation follows the y=mx+b equation. Your equation is g(x)= 7x+9 which follows the formula.
Answer:
Yes.
Step-by-step explanation:
Option #1: Graph the equation. (you can search "y=9+7x")
Option #2: Look at the equation. Rewrite it as "y=7x+9". This follows the form of y=mx+b, which is the form of a linear equation.
(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:
Jeremy has 5 of a pound of rice. Shaila has to of a pound of rice.
Which statement best describes the total amount of rice that Jeremy and Shaila have?
Hi, you've asked an incomplete question. The full question reads;
Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?
a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.
b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.
c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Answer:
d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.
Step-by-step explanation:
Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).
Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).
Identify the 3D shape shown below. Choose 1 answer: A Cone B Cylinder с Rectangular prism
Answer:
Cylinder
Step-by-step explanation:
Cones are pointed at the top or bottom
Rectangular Prisms are shaped like rectangles
Answer:
B
Step-by-step explanation:
Point A is located at (3,5) and point B is located at (-2 ,-2).find the distance between point A and B
Answer:
8.74
Step-by-step explanation:
The distance can be calculated by Distance Formula , as :-
⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]
⇒ D = √ [ ( 3 + 2)² + (5+2)² ]
⇒ D = √ 5² + 7²
⇒ D = √ [ 25 + 49 ]
⇒ D = √ 74
⇒ D = 8.74 units .
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
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•◍)✧*。!!!
Will GiVE BRAINLIEST!!!!
A carpenter uses two different types of paint in his work, X-Brand and Y-Brand (represented by the x and y variables respectively in the system of equations below). The system of equations represents the total cost and amount of paint he purchased for a client. Determine the cost, in dollars, of the X-Brand.
2x+5y=6
−x+2y=−3
Answer
$3
Step-by-step explanation:
To find the x value, you want to cancel out the y terms in the equations. To do so, multiply (2x+5y=6) by 2, and (-x+2y=-3) by -5. This gives you
4x+10y=12
5x-10y=15
You can then cancel out the y terms and add the other terms from the 2 equations together to make
9x=27
You then divide 27 by 9 to get 3 as the value for x.
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].
I really need help!!!
If the lengths of two sides of a triangle are 3 and 4, which could be the length of the third side?
Answer: It’s 5 if it’s the two legs
Step-by-step explanation:
Use the Pythagorean Theorem
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].
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
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
Convert 2,36hrs to hrs, minutes and seconds
The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.
Hope that helps!
Geometry question plz
PLS HELP DUE SOON SHOW YOUR WORK!
9514 1404 393
Answer:
615.8 square feet9 truckloadsStep-by-step explanation:
The area of the circular ring is given by the formula ...
A = πr²
where r is the radius, or half the diameter.
A = π(14 ft)² = 196π ft² ≈ 615.752 ft²
The area of the training area is about 615.8 square feet.
__
The number of truckloads of dirt required for coverage will be ...
(615.8 ft²)/(75 ft²/truckload) ≈ 8.21 truckloads
Since the dirt comes only in whole truckloads, Hilary needs 9 truckloads.
I’ll give you brain list if you answer this for me
Answer:
131.9 cm
Step-by-step explanation:
Circumference = (2)(pi)(r)
radius = 21
pi = 3.14
c = (2)(3.14)(21)
c = 131.88
Round to the nearest tenth = 131.9
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
What is the inverse of the function f(x) = 2x
10?
Solve the equation:
[3 2
5 5]
[x1
x2]+
[1
2]=
[2
-3]
9514 1404 393
Answer:
(x1, x2) = (3, -4)
Step-by-step explanation:
As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.
[tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]
Performing the multiplication of the matrix by the vector gives the solution.
x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3
y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4
Using your variables, x1, x2, the solution is ...
(x1, x2) = (3, -4)