Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in
Answer:
A. 0.0272
B. 0.0278
C. No
Step-by-step explanation:
a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.639
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.639 * (1 - 0.639)/1200)
Standard error(SE)= 0.0139
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0139
Margin of Error = 0.0272
Therefore the Margin of Error is 0.0272
b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.417
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.417 * (1 - 0.417)/1200)
Standard error(SE)= 0.0142
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0142
Margin of Error = 0.0278
Therefore the Margin of Error is 0.0278
c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.
Can someone help me out please ? Will give brainiest answer. Need all 6
Step-by-step explanation:
tell me the math problem I will tell u the answer its blurry
Help me please help help help
Answer:
Step-by-step explanation:
at least.
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
what is the value? when r equals 0
Answer:
I do not know the answer to this question
Step-by-step explanation:
Lula has two dogs, one 35 pounds, the other 25 pounds. What is the average weight of Lula's dogs?
Answer:
30
Step-by-step explanation:
25+35= 60
60/2=30
Answer: 30
Step-by-step explanation:
The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.
The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
A. 48⁰, 42⁰
B. 28⁰, 62⁰
C. 36⁰, 62⁰
D. 48⁰, 28⁰
Answer:
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
b 28 and 62
Solve each equation by factoring ⁉️NEED THIS ASAP ⁉️
Answer:
Step-by-step explanation:
is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams
Answer: The meal contains 68.57% of her daily allowance of fat
Step-by-step explanation:
We know that in the dinner, there is a total of 48g of fat.
We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:
70g = 100%
Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:
48g = X%
Then we have two equations:
48g = X%
70g = 100%
To solve this, we can take the quotient of these two equations to get:
(48g/70g) = (X%/100%)
Now we want to solve this for X%, then we need to isolate X%:
(48g/70g)*100% = X%
68.57% = X%
This means that 48 grams of fat are 68.57% of her daily allowance.
Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)
Answer: 120
Step-by-step explanation: 8 times 60 is 480 then converted to gallons do
480/4
a number added to one third of itself equals 12 . what is the number
Answer:
9
Step-by-step explanation:
x+1/3x=12
(3x+1x)/3=12
4x/3=12
4x=12×3
4x=36
x=36/4
x=9
Answer:
1/3+x=12(cross multiply)
x+1=12*3
x+1=36(collect like terms)
x=36-1
x=35
At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
What percent is equivalent to 1/10?
Answer: 10%
Step-by-step explanation:
1/10 is equal to .10 or 10%
Answer:
10%
Step-by-step explanation:
Divide 1 by 10 and you get 0.10 :)
Can someone do this real quick plz
Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
[tex]H = (1,1)[/tex]
[tex]J= (2,3)[/tex]
[tex]K=(6,3)[/tex]
[tex]L = (5,1)[/tex]
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
For HK:
[tex]M = \frac{1}{2}(1+6,1+3)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For JL:
[tex]M = \frac{1}{2}(2+5,3+1)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
what does l-7l mean and whats its value NEED HELP
Solve the inequality for v.
5v-9> 66
Answer:
v>15
Step-by-step explanation:
add 9 to 66
5v>75
v>15
Answer: v>15
Step-by-step explanation:
The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.
NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)
What is the area of the triangle?
8
4
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?
=============================================================
Explanation:
Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.
Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.
From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%
So we get (0.15%) + (2.35%) = 2.5% which is the answer
Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.
Spring tides are extremely high and extremely low. This is created when the sun and moon pull together.
Answer:
yep true
Step-by-step explanation:
facts u know what u talking bout
Can someone answer and explain ill mark brainliest
Answer:
56 of the coins are dimes
Step-by-step explanation:
Dimes = D
Quarters = Q
D+Q=102
10D+25Q=1710
-10(D+Q=102)
-10D-10Q=-1020
+10D+25Q=1710
15Q-690
Q=46
D=102-46=56
CHECK 46(25)+56(10)=1150+560=1710 = YES
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Can someone please help!!! I will mark Brainly if you get it right!!!!
Answer:
I think it is the last one
determine the scale factor
Answer:
The scale factor is (2/3)
Step-by-step explanation:
[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]
I hope that is useful for you :)
The set of whole numbers contains the set of rational numbers.
Every square root is a rational number
The integers are closed under addition.
True or False?
If false provide a counterexample.
Answer:
false -- 2/3 is not a whole number
true -- a terminating decimal is like 0.35 which is 35/100
false
true
so, 2 out of 4.
A store is having a sale in which the cost of any item is 35% off. Which expression can be used to find the cost, x, of an item AFTER DISCOUNT?
Answer:
73373773737477374747373738
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
You NEVER distribute a coefficient of an absolute value. True or False?
Answer:
TRUE!!!!!!!!!
Step-by-step explanation:
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answer:
see the attachment, answers there
Find the volume of the cone.
Answer:
[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]
[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]
[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]
[tex]v = 256\pi \: cm {}^{3} [/tex]