In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.
Using the z-distribution, it is found that the correct option is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A confidence interval is given by:
[tex]p \pm zs[/tex]
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].Hence, the standard errors are:
[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
[tex]p = p_1 - p_2[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
Thus, the interval is:
[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]
A similar problem is given at https://brainly.com/question/12517818
somebody please help me:(
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answer:
f) Not possible
Step-by-step explanation:
The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.
What is the value of x and y?
Answer:
x = 90y = 43Step-by-step explanation:
The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.
x° = 90°
__
The acute angles in a right triangle are complementary.
y° = 90° -47°
y° = 43°
please help! ASAP I need help fast!!
Answer: 4.8
Explanation: divide total needed of blue paint (3) by 1/2 to find the ratio, which is 6. then multiply that by 4/5 to get the total of yellow paint, which is 4.8
2 procedimientos por favor
Answer:
184.8
Step-by-step explanation:
385/25×12
385÷25=15.4
15.4×12=184.8
Six movie tickets cost $96 what is the cost per ticket
Cost of 6 tickets = $ 96
Cost of 1 ticket = ?
Cost of 1 ticket = 96/6
Cost per ticket = $ 16
______
Hope it helps ⚜
Step-by-step explanation:
6 tickets=$96
1 ticket =96/6
=16
Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30°
, what is the measure of the third angle?
Enter the correct answer in the box.
30+30=60 180-60=120
So the answer is 120
Solve for the value of x
Answer:
x=9
Step-by-step explanation:
To solve for x, you can set up a proportion between the 2 triangles we see.
The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].
Set both proportions equal to each other.
[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]
Cross multiply and solve for x.
[tex]16(2x+17)=(28)(20)[/tex]
32x+272=560
32x=288
x=9
ABC has vertices A(-3,2). B(3,2), and C(0, – 3). Is ABC scalene, isosceles, or equilateral?
Is ABC scalene, isosceles, or equilateral?
Answer:
isoselses!
Step-by-step explanation:
i hope that helps
1/3(6-9j)
PLEASE HELP!!!
Answer:
2-3j
Step-by-step explanation:
Distribute 1/3 to the rest of the equation and you'll get 2-3j
I hope this helps!
Which ordered pair is in the solution set of 3x − 2y ≥ -1?
F.(-2, -2.5)
G.(-1, 1)
H.(2, 4)
J.(1, 2.5)
Answer:
G
Step-by-step explanation:
Therefore, the option [tex]G(-1,1)[/tex] is correct.
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given inequality equation
[tex]3x- 2y \geq -1[/tex]
When the points [tex](-1,1)[/tex] so it would be
[tex]3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1[/tex]
Hence, the option [tex]G(-1,1)[/tex] is correct.
To know more about the inequality
https://brainly.com/question/12679763
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The polygons are similar. Find the value of each variable.
Answer:
z = 2Step-by-step explanation:
Similar figures have equal ratios of corresponding sides:
z / (z + 4) = 3/ 99z = 3(z + 4)9z = 3z + 129z - 3z = 126z = 12z = 2What is the sum of the coefficients in the expression below?
22°y2 + 5x+ y2 - 6xy' +7
Answer:
485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7
Step-by-step explanation:
I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.
Good luck and have a great rest of your day.
what is an equation of the line that passes through the points 0,-2and 0,-5
Answer:
Any equation with a slope of 3 will work. You can use any y-intercept. This equation will work: y = 3x+1
Step-by-step-explanation:
3x says that the slope is 3, and on a coordinate plane, 2 is 3 places above 5, and since the slope is 3, it will go 3 spots up, and run into (0,2)
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
7
Step-by-step explanation:
7
You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
What is the value of 25
Answer:
5 po its my volt
Step-by-step explanation:
yan hooo
GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. Write an equation in point-slope form to find the perimeter y of a square with side length x.
Answer:
y-4=4(x-1)
Step-by-step explanation:
The perimeter of a square is 4 times the length of one side, so we can write the equation like this.
y=4x
To find the equation in point-slope form, we know that when x=1, y=4. This gives us the point, (1,4). We also know that the slope of the equation is 4.
Plug the coordinate point into the point slope formula.
y-y1=m(x-x1)
y-4=4(x-1)
Solve the inequality 2x^2-6>0
Answer:0
Step-by-step explanation:
40 percent of students survey said that they are night owls . If 300 students said that they are night owls how many students were surveyed ?
Based on the calculations that 300 is 40%, 375 is considered 50% or halfway.. in this case, we must multiply 375 by 2 and we will discover how many students were surveyed:
375 x 2 = 750
Mrs. terrance has a large bin of 236 crayons. She divides them equally among four containers.
if lateral surface area of cube is double then the ratio of volume of new cube to original cube
Answer:
2√2
Step-by-step explanation:
The area ratio is the square of the side length ratio, so the ratio of side lengths is √2.
The volume ratio is the cube of the side length ratio, so the new cube has a volume that is (√2)³ times that of the original.
The volume ratio is 2√2.
help me please I'm stuck on this question!!!!
Answer:
1: 2.8
Step-by-step explanation:
15:42
Divide each side by 15
15/15 : 42/15
1: 2.8
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles by SSS or SAS, write "not enough information". Explain your answer.
Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below and, if necessary, write the vertices of the second triangle in the correct order.
Answer:
option B is correct answer. ∆SVZ~=∆YVX, SSS
Step-by-step explanation:
reasons,
VY=VS, S
YX=SZ, S
VX=VZ, S
therefore, ∆SVZ~=∆YVX.
hope this helps you.
The two triangles are congruent by side angle side property. The correct option is A.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
To know more about congruency follow
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Evaluate the following expression.
53
Enter the answer
Answer:
125
Step-by-step explanation:
5^3 = 5 ✕ 5 ✕ 5, and 5 ✕ 5 ✕ 5 = 125
Hope this helps :)
Answer:
125
Step-by-step explanation:
all you have to do is 5*5*5. so multiply the number that many times it tells you on the exponent.
Please solve i need help :,) tyy
Answer:
6. 47
7. –25
8. 15
9. –33
10. –9
Step-by-step explanation:
Substitute.
6. x=-7
y = -8x - 9
= -8(-7)-9
= 56-9
y=47
7. x=2
y= -8x-9
= -8(2)-9
= -16-9
y= -25
8. x=-3
y= -8x-9
= -8(-3)-9
=24-9
y= 15
9. x=3
y= -8x-9
= -8(3)-9
= -24-9
y= -33
10. x=0
y= -8x-9
= -8(0)-9
= 0-9
y= -9
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
100 point on the line
Answer:
2^5, 6^2 ,3^4, 5^3
Step-by-step explanation:
6^2 = 36
3^4 = 81
2^5 = 32
5^3 = 125
Answer:
Step-by-step explanation:
Which pair of fractions in not equivalent fractions? Please answer it’s a test
Answer:
7/8 , 5/6
Explanation:
7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.
The two legs of right triangle measures 6 and 8 inches respectively. What is the area of the circle that contains all 3 verticals of the triangle
Answer:
See image.
Step-by-step explanation:
Remember if you have a right angle inside of a circle, the hypotenuse is going to land exactly on the diameter. Also, Area of a circle = (pi)r^2 Lastly, remember pythagorean triples such as 3,4,5 or at least, the Pythagorean theorem a^2 + b^2 = c^2