Using the z-distribution, as we are working with a proportion, it is found that the 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).
What is the mean and the standard error of the distribution of differences?In 2017, 450 out of 600 students had access, hence:
[tex]p_1 = \frac{450}{600} = 0.75, s_1 = \sqrt{\frac{0.75(0.25)}{600}} = 0.0177[/tex]
In 2013, 120 out of 400 students had access, hence:
[tex]p_2 = \frac{120}{400} = 0.3, s_2 = \sqrt{\frac{0.3(0.7)}{400}} = 0.0229[/tex]
For the distribution of differences, we have that the mean and the standard error are, respectively, given by:
[tex]p = p_1 - p_2 = 0.75 - 0.3 = 0.45[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0177^2 + 0.0229^2} = 0.0289[/tex]
What is the confidence interval?It is given by:
[tex]p \pm zs[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
Then:
[tex]p - zs = 0.45 - 1.96(0.0289) = 0.393[/tex]
[tex]p + zs = 0.45 + 1.96(0.0289) = 0.507[/tex]
The 95% confidence interval for the difference in the proportions of teenagers with access to smartphones in 2017 and in 2013 is of (0.393, 0.507).
More can be learned about the z-distribution at https://brainly.com/question/25890103
Answer:
0.45+-0.057
Step-by-step explanation:
A student attends only 3 out of every 4 days during a summer course. If the student attended 105 days, how many days did the summer course run?
Answer: 140 days
Step-by-step explanation:
3 times 35 is 105 days
35 plus 105 is 140 days
Explain in your own words how to find the area of a triangle. * Your answer
Answer:
Step-by-step explanation:
[tex]Area \ of \ the \ triangle = \dfrac{1}{2}bh[/tex]
b is the base of the triangle.
h is the perpendicular height
what is the product of( w + x)( w + x) cause w2+2×w+×2 is not the right answer
Answer:
my diagram calculation could help
I hope it helps
answer : w²+ wx + xw + x²
Brainliest if correct
Answer:
$5.45
Step-by-step explanation:
Hello!
The question is saying that 3.6 pounds of shrimp is 19.62.
To find the unit price (fancy term for saying price per pound of shrimp) for one pound.
To do this, divide 19.62/3.6 to find the value of a pound of shrimp.
$5.45 is the answer PER POUND.
To check your work, you can multiply this by 3.6 pounds to get the original value. Hope I helped.
Is this correct?
Or the remainder must be 17.
Answer:
no, it isn't correct
Step-by-step explanation:
the answer is 13.4705 I'm pretty sure
Answer:
Both
Step-by-step explanation:
Your calculations are correct actually 100% correct but may I ask where do you get a remainder of 17.
Because do you see where you have 118 - 102 =16 that is your remainder so you are correct but what the question was wrong.
Your answer is 13 with a remainder of 16.
You did a great job and didn't need my help but I do hope this helps have a great day:)
Given the graphs of f(x) = 2x + 1 and g(x) = 5x – 2, what is the solution to the equation f(x) = g(x)?
A) 0
B) 1
C) 3
D) –2
Answer:
1 is answer
2x+1=5x-2
5x-2x=1+2
3x=3
x=3
IF Cos 3A =Sin7A then A is
Answer: A=0.8767601914
First you need to find the value of cos(3) and sin(7) which happens to be cos(3)=0.9986295348A and sin(7)=0.1218693434A. So you have the numbers, then what do you do with them? Well you will want to subtract them both and find the difference between them which should be the value of A. so 0.9986295348-0.1218693434=0.8767601914 so A=0.8767601914 if you want you can simplify this...
Step-by-step explanation:
BOOM mistah-CLEAN BABY.
Simplify the expression: (4p-8/p^3-2p^2-q+2/q^3+2q^2) x p/2q-p
Please help me thank you!!
Answer:
[tex]F(t)=6000(0.343)^{t}[/tex]
Step-by-step explanation:
a = 6000, b = 0.7³ = 0.343
so
[tex]F(t)=6000(0.343)^{t}[/tex]
Manuel found a wrecked Trans-Am that he could fix. He bought the car for 65% of the original price. If he paid $4,875, what was the original cost of the Trans-Am before it was wrecked?
Answer:
$7,500
Step-by-step explanation:
65% = 4875
divide both by 65
1% = 75
multiply by 100
100% = 7500
6. Write and solve an equation to find the value of x. (Example 3) 120° X (2x) ico
Answer:
120° = 2(x)°
120/2 = x
60 = x
Step-by-step explanation:
120° = 2(x)° because the two lines cross forming an x shape and angles opposite to each other are always equal in lines forming x shapes. Hence you can form an equation as shown above and solve it for x. Since the above equation is a linear one you can simply solve it by bringing all the numbers to one side. since 2 is multiplied on the right hand side, when we bring it to the left it has to be divided.
Answer:30
Step-by-step explanation:
Which equation represents exponential growth? A)Y=2x or B)Y=3(5)^ or C)y=4x2 or D)Y= 2(0.5)x
Answer:
B)
Step-by-step explanation:
Why A Doesn't Work:
y=mx+b is a linear equation.
y=2x, y=2x+0 which is a linear equation.
Why C doesn't work:
Anything with x² in it is a parabola. Anything.
4x² is a parabola, not an exponential equation.
Check for yourself on Desmos.
Why D doesn't work:
2(0.5)x
2(0.5) = 1
(1)x = 1x
y=1x, y = 1x+0 = LINEAR
Why B Works:
I do not understand what B is supposed to be, but I suppose it is correct by using the process of elimination.
Hope this helps :)
-jp524
Find the rule.
Rule:
Answer:
The rule is to multiply the numbers on the X side by 3
Step-by-step explanation:
brainlyiest?
question is on the picture attached
Answer:
18
Step-by-step explanation:
Look at the image below
Answer:
subtotal 9.76
Step-by-step explanation:
i can tell the last 2
hope this helps
pls mark brainliest
can someone help me with this? it's super confusing and i need the answers
Answer:
question 2
a) rectangle
b) all of the angles are 90 degrees
c) 3+3+4+4=14 units
d) 12 units squared
question 3
if their slopes are the same, they are parallel.
if the lines do not intersect graphically, they are parallel.
if the slopes multiply to -1, they are perpendicular.
if the degree made by the intersection is 90 degrees, the lines are perpendicular.
x=15 x=45 x=60 x=135
Step-by-step explanation:
This is the answer , I hope you understand
Consider △DEF with vertices D(−5,−3),E(−1,1), and F(3,−7). Find the coordinates of the vertices of the final image of △DEF after the similarity transformation.
.How do you determine if two numbers
or expressions are equation
Answer:only if all of the terms in the two expressions are the same, then the two expressions are similar
what is the answer to 3x = 6
Answer:
2
Step-by-step explanation:
3x=6
same thing as 3*x=6
3*2=6
x=2
If the perimeter of a rectangle is 90 inches and the length is 13 inches more than its width, find the area of the rectangle?
It takes 79 pounds of seed to completely plant a 12-acre field. How many acres can be planted per pound of seed?
Answer:
0.152 acres
Step-by-step explanation:
Given the information that 79 pounds of seed means you can plant 12 acres of field, we can set the two equal to each other:
79 pounds of seed = 12 acres
Now, we just need to use 1 pound of seed to solve for the amount of acres that can be planted per that one pound:
1 pound seed ([tex]12acres/79pounds[/tex]) = 0.152 acres
Based on the simulation, what proportion of the 95 percent confidence intervals capture the population proportion of 0.3? Explain how you determined your answer.
Using the concept of a confidence interval, it is found that 95% of the 95% confidence intervals will capture the population proportion.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b, that is, x% of intervals capture the population parameters.
In this problem, applying the interpretation, 95% of the 95% confidence intervals will capture the population proportion.
More can be learned about confidence intervals at https://brainly.com/question/25890103
If the answer is L * W * H then why do you have to divide once you get to H to get the correct answer?
Answer:
Hi! I'm not quite sure what you entirely mean by this but I'll try to help. LxWxH is a formula used to find the volume of a rectangular prism or a box. If this is what you are using it for then there shouldn't a reason to divide. Unless maybe you're trying to find half of a box or you are trying to find the value of one of these in an equation but that's the only thing I can think of. Do you think you might be able to post an example in the comments?
Step-by-step explanation:
Solution of this question needed on urgent basis!
let the vertices on either side of the 0 be A and B
then let the vertex opposite of O be C
First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°
then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.
Answer:
90°
Step-by-step explanation:
let the vertices on either side of the 0 be A and B
then let the vertex opposite of O be C
First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°
then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.
What is the are of this figure???
Answer:
44 sq. cm
Step-by-step explanation:
I promise it's right, I did the math.
The line y = 4x + c passes through (1,7), find the value of c
Answer:
c = 3
Step-by-step explanation:
y = 4x + c
to find c substitute (1, 7 ) into the equation
7 = 4 + c ⇒ c = 7 - 4 = 3
Write 43/19 as a decimal rounded not the nearest 100th
Answer: So you're looking for 43/19 but not to the nearest hundredth, so maybe your teacher is looking for the decimal to be rounded to the nearest tenth or one thousandth... Here's how you would solve this...
Step-by-step explanation:
49/13 or 49 ÷ 13
49/13 = 3.76923076923
To the Nearest 10th: Answer ≈ 3.8
To the Nearest 1,000th: Answer ≈ 3.769
To the Nearest 100th: Answer ≈ 3.77
Note: I listed the nearest 100th in case you need it, I hope this helps you!
The Formula for the volume of a right square pyramid is given down below, where a is the side length of the base and h is the height.
V= 1/3a^2h
Rewrite the formula and solve for a
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT
Answer: Is it B? I hope it helps you :)
Step-by-step explanation:
8. Evaluate the polynomial function
f(x) = -2x4 + 6x3 - 3x + 11 when x = 4
(
-
Answer:
f(4) = -129
Step-by-step explanation:
Substitute the value of x which is 4
f(x) = -2x4 + 6x3 - 3x + 11
f(4) = -2(4)4 + 6(4)3 - 3(4) + 11
f(4) = -2(256) + 6(64) - 12 + 11
f(4) = -512 + 384 - 1
f(4) = -128 - 1
f(4) = -129