Answer:
D
Step-by-step explanation:
APEX
I JUST GOT IT WRONG USING 11%
In 1970, 59% of college freshmen thought that capital punishment should be abolished; in 2005, the percentage was 35%. The percentages are based on two independent simple random samples, each of size 1,000. Compute a 95% confidence interval for the difference in the percentages.
Answer:
The 95% confidence interval for the difference in the percentages = [19.75, 28.25]
Step-by-step explanation:
The formula for confidence interval for difference in percentages =
p1 - p2 ± z x √[p1(100 - p1)/n1 + p2(100 - p2)/n2)
From the above question:
p1 = 59%
n1 = 1000
p2 = 35%
n2 = 1000
z = z score of the 95% confidence interval = 1.96
Confidence interval = p1 - p2 ± z x √[p1(100 - p1)/n1 + p2(100 - p2)/n2)
= 59 - 35 ± 1.96 × √[59(100 - 59)/1000] + [35(100 - 35)/1000]
= 24 ± 1.96 × √ [59 × 41/1000] + [35 × 65/1000]
= 24 ± 1.96 × √[2419/1000 + 2275/1000]
= 24 ± 1.96 × √2.419 + 2.275
= 24 ± 1.96 × √(4.694)
= 24 ± 1.96 × 2.1665641001
= 24 ± 4.2464656363
Confidence Interval = 24 ± 4.2464656363
24 - 4.2464656363 = 19.753534364
Approximately = 19.75
24 + 4.2464656363 = 28.2464656363
Approximately = 28.25
Therefore, the 95% confidence interval for the difference in the percentages = [19.75, 28.25]
You are setting up a part-time business with an initial investment of $12,000. The unit cost of the product is $11.50, and the selling price is $19.00.Required:a. Find equations for the total cost C (in dollars) and total revenue R (in dollars) for x units.b. Find the break-even point by finding the point of intersection of the cost and revenue equations units.c. How many units would yield a profit of $1000?
Answer:
Given Initial investment = $12,000
Cost per unit = $11.50
Selling price per unit = $19
a. For x unit
Total cost = Initial investment + Cost per unit * no of unit
= 12,000 + 11.50(x)
c(x) = 12,000 + 11.50(x)
R(x) = Selling price per unit * no of items
R(x) = 19 * x
R(x) = 19x
b. Break even point = R(x) = C(x)
19x = 12,000 + 11.50x
19x - 11.5x = 12,000
7.5x = 12,000
x = 12,000 / 7.5
x = 1600
So, break even point x = 1,600
c. For Profit = $1,000
P(x) = 1,000
P(x) = R(x) - C(x)
1000 = 19x - (12,000 + 11.5x)
1000 =19x - 11.5x - 12000
7.5x = 12000 + 1000
7.5x = 13000
x = 13000/7.5
x = 1733.33
So x = 1733 units
Hence, 1733 units will yield for $1,000 profit
Sarah answered 85% of the trivia questions correctly. What fraction describes this percent? Write the fraction in its simplest form.
Answer: 17/20
Step-by-step explanation:
85% to 85/100
Then divide 85/100 by 5
17/20
Richard and his friend Julie collect coins as a hobby. Richard has 8 more coins than Julie. If they have 28 altogether how many coins did Julie have?
Answer:
Julie had 10 coins
Step-by-step explanation:
Since there are 28 coins and Richard has 8 more coins than Julie
You can subtract 8 from 28 and get 20
then you would divide 20 by 2 since there are two people( Richard and Julie) Which would give you 10
Since Richard has 8 more coins and each of them have ten you would add 8 to the 10 and you would get 18
Meaning that Richard had 18 coins and Julie had 10 coins
Two runners begin running laps around a one-mile track at the same time. The first runner completes a mile every 6 minutes and the second runner completes a mile every 8 minutes. After how long will the first runner lap the second runner?
Answer:
24
Step-by-step explanation:
simpley look up the lcm of 6 and 8 and youll get the answer... very simple
Answer:
after 24 minutes
Step-by-step explanation:
It'll be the first runner's 4th lap and the second runner's 3rd lap.
why don't numbers 17, 26, 44, and 65 belong with eachother
Answer:
17 is a prime number whereas 26,44 and 65 are the composite numbers. Step-by-step explanation: The number 17 does not belong with 26, 44 and 65. Here 26 is divisible by 2 and 13
Step-by-step explanation:
When the solar system first formed, 99 percent of the gas and dust material gathered together in one spot. What did gravity form by forcing most of the gas and dust into the center of a flattened disc?(1 point)
the sun
the moons of planets
the asteroid belt
the planets
Answer:the plants formed
Step-by-step explanation:
help me please I got a lot to do
Answer:
.......................... i think is h
What’s the value of x?
Answer:
the value of x is x men just like spiderman and my favorite rapper is lil baby
A group of 120 students were asked how old they were when they lost their first tooth. 50% said they were 7 years old. How many students said they were 7 years old when they list their first tooth? explain.
Answer:
60
Step-by-step explanation:
half of 120 is 60
9. You are the sales manager for Solar Panel Company. You receive a commission
based on the total sales of all the salespeople you manage. Your commission is
2 percent of the first $80,000 of sales, 4 percent of the next $80,000, and 5 percent
of all sales over $160,000. What is your commission for a month in which your
salespeople sold $242,100 in solar panels?
Answer: $9705.
Step-by-step explanation:
2 % of first $80,000 sold
= 2/100 * $80,000
= 2 * $800
= $1600
4% of next $80,000
= 4/100 * $80,000
= 4 * $800
= $3,200
if total sales was $242,100. for this Month, the sales person commission would be
= $1600 + 5/100 * 162,100
= $1600 + 5 * $1621
= $1600 + $8105
= $9705.
1) A cargo plane made a trip to the
maintenance facility and back. The trip
there took five hours and the trip back
took 11 hours. What was the cargo plane's
average speed on the trip there if it
averaged 215 mph on the return trip?
The layout for European license plates is XXX – XXXX. The first three digits are letters and the last four are numbers. The exclusions on the plates are that the first three letters cannot be the same (i.e. AAA) and the last four cannot be the same (i.e. 1111). How many different possible plates can be made? Show all work and explanations necessary.
Answer:
No. of Plates Possible = 78624000 = 7.86 x 10⁷
Step-by-step explanation:
We have total 7 places to fill in order to form a plate. So, we see all the number of options available for each of the position:
No. of Options for First Place = 26 (All alphabets of English)
No. of Options for Second Place = 25 (Due to no repetition)
No. of Options for Third Place = 24 (Due to no repetition)
No. of Options for Fourth Place = 10 (Digits from 0 to 9)
No. of Options for Fifth Place = 9 (Due to no repetition)
No. of Options for Sixth Place = 8 (Due to no repetition)
No. of Options for Seventh Place = 7 (Due to no repetition)
Hence, the total possible plates that can be made are given by multiplying
the options to select in each place:
No. of Plates Possible = 26*25*24*10*9*8*7
No. of Plates Possible = 78624000 = 7.86 x 10⁷
Find the greatest common factor
8, 14
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
8 14
∧ ∧
2 · 2 · 2 2 · 7
GCF: 2
Is this 2/9 I need help
Answer:
Yes, it is 2/9.
Step-by-step explanation:
You want to draw a red ball first, and then a blue ball.
This means the order would be RB.
Count the amount of options that are "RB" and you get 2.
There are 9 options in total.
Probability: [tex]\frac{2}{9}[/tex]
What is 200 times 65
Answer:
13,000
Step-by-step explanation:
Hope this helps! :)
Answer:
13000
Step-by-step explanation:
2 x 65 =130
Add 2 more 0s
9) 4 = K/42
Solve that for me pls I’m writing here because I need twenty words
Answer:
k = 168
Step-by-step explanation:
[tex]4= \frac{k}{42}[/tex] rewrite the equation
[tex]42 * 4=\frac{k}{42} *42[/tex] Multiply 42 to isolate k. Do the same on the other side
42 * 4 = 168 When you do that you get 168.
How long does it take a car travelling at 60 m..p.h to go 5 miles?
Answer:5 minutes
Step-by-step explanation:
Answer:
We are traveling at a speed S = 60 m/h
The distance we are traveling is D = 5m
We know that:
Speed (S) = distance (D)/ Time (T)
60 = 5 / T
==> T = 5/60 = 1/12 hour
==> T = 1/12 * 60 minutes = 5 minutes.
Then, the time needed to travel 5 miles at a 60m/h speed is 5 minutes.
What does the equation "m=7.50" mean in this situation?
What does the equation "m=s+4.50" mean in this situation?
What does the equation "ns=6.00" mean in this situation?
What does the equation "m+ns=t" mean in this situation?
Answer:
1. It means that m equals 7.5
2. It means 4.5 plus s equals m
3. It means n times s equals 6
4. It means m plus n times s equals t
Step-by-step explanation:
Source: Just trust me bro
A team of 10 people swim equal portions of a 10 km relay. What distance does each person swim?
Answer:
Step-by-step explanation:
1km
Answer:
1 km.
Step-by-step explanation:
If 10 people swim equal portions of a 10 km relay,
10 people divided by 10 kilometers equals 1 kilometer per person.
Help me please thank you
Answer:
c
Step-by-step explanation:
thats the answer
Answer:
Answer: 0.78: B
Step-by-step explanation:
2.34+0.78= 3.12 its the same in the whole problem add 0.78
Round the number 0.008325 to three significant figures.a. 0.008 b. 0.00832 c. 0.0083 d. 0.00833 e. none of these
Answer:
d
Step-by-step explanation:
A sales person makes a base salary of $500 per week plus 14% commission on sales.
(a) Write a linear function to model the sales person's weekly salary S(x) for x dollars in sales.
(b) Evaluate S (6000) and interpret the meaning in the context of this problem.
Part 1 of 2
(a) The linear function is S (x) =
for x>0.
Answer:
60
Step-by-step explanation:
0.4p – 5 = 0.08p + 3
Solve pls
Hey there!
ANSWER: [tex]p=25[/tex]EXPLANATION:[tex]0.4p-5=0.08p+3[/tex]
To solve this inequality, we will need to subtract 0.08p from both sides of the inequality.
[tex]0.4p-5-0.08p=0.08p+3-0.08p\\0.32p-5=3[/tex]
Now we have to add both sides by 5.
[tex]0.32p-5+5=3+5\\0.32p=8[/tex]
In our last step, we will have to divide both sides by 0.32.
[tex]\frac{0.32p}{0.32} =\frac{8}{0.32}\\25\\\text{25 is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Answer:
p=25
Step-by-step explanation:
Look at the answer above.
Some descriptive statistics for a Set of test scores are shown above for this test a certain student has a standardized score of z=-1.2 what score did the student receive on the test
Complete Question
The complete question is shown on the first uploaded image
Answer:
The score of the student is x = 779.42
Step-by-step explanation:
Generally we can mathematically represent the z-score as
[tex]z = \frac{x - Mean}{ stDev}[/tex]
Here x is the score of the student
substituting 1045.7 for the Mean, 221.9 for the stDev and -1.2 for z we have
[tex]-1.2 = \frac{x - 1045.7 }{ 221.9}[/tex]
=> [tex]-266.28 = x -1045.7[/tex]
=> x = -266.28 + 1045.7
=> x = 779.42
The student scored 779.42 for him to have a z score of - 1.2;
z score is used to determine by how many standard deviations the raw score is above or below the mean.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/ } \\\\where\ x\ is\ raw\ score,\mu\ is\ mean, \sigma\ is\ standard\ deviation[/tex]
Given that μ = 1045.7, σ = 221.9 Hence for z = -1.2:
[tex]-1.2=\frac{x-1045.7}{221.9} \\\\x=779.42[/tex]
The student scored 779.42 for him to have a z score of - 1.2;
Find out more on z score at: https://brainly.com/question/25638875
The graph of a function g is a transformation of the graph of f(x)=4x−10, where g(x) is 40% of f(x). Write a rule for g.
Answer:
g(x) = 1.6 x - 4
Step-by-step explanation:
Given:
f(x) = 4 x - 10
g(x) is 40% of f(x)
Find:
g(x)
Computation:
⇒ g(x) = 40%[f(x)]
⇒ g(x) = 40%[4 x - 10]
g(x) = 1.6 x - 4
which shows two products that result in negative values
Answer:
(2.4)(-1.8) and (0.6)(-0.4)
Step-by-step explanation:
The product of two negative numbers = a positive number. (negative × negative = positive).
Product of two positive numbers = a positive number. (Positive × positive = positive)
Product of a negative number and a positive number = a negative number. (Negative × positive = negative).
Therefore, the answer choice that shows two products that both will result in negative values would be the answer choice that has a negative number multiplying a positive number.
Option 3 has two products in which each has a negative and positive number. That is (2.4)(-1.8) = a negative value, and
(0.6)(-0.4) = a negative value.
Therefore, the answer is Option 3: (2.4)(-1.8) and (0.6)(-0.4)
If sales tax is 6.4% what is the sales tax on a $42.00 book?
Answer:
The sales tax would be $2.69, making the book cost $44.69.
using distance formula i tried this one for myself and just couldn't get it
Answer:
Hello, hope it helps :-)
Aling Lara has a 2-pan scale and a set
of 4 steel weights. She claims that she
can weigh out any whole number of
ounces up to 40 ounces using just these
weights, and she's right. What is the
weight of each brass weight? (Note that
you can put weights on either pan of the
scale, so both adding and subtracting are
possible.
Answer:
1, 3, 9, and 27
Step-by-step explanation:
