Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The project manager believes that p will turn out to be approximately 0.11.
This means that [tex]\pi = 0.11[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]
[tex]n = 417.9[/tex]
Rounding up
A sample size no smaller than 418 is needed.
Suppose a car uses one gallon of gasoline for
every 20 miles traveled.
1) If a gallon of gasoline costs $2.75, how much will the gasoline cost to
travel 300 miles in the car?
A) $22.00
B) $27.50
C) $32.75
D) $41.25
Answer:
the awnser is D) $41.25.
For dinner last night, Vinnie ordered a large supreme pizza with extra anchovies. The regular price of the pizza is $24 but Vinnie had a 20% off coupon. When Vinnie went to pay the bill, an 10% sales tax was added onto the discounted price.
How much did Vinnie pay for the pizza?
Answer:
$20.94
Step-by-step explanation:
Find the present worth ofRS.2040 due 4 years hence reckoning interest at 5%p.a.
Answer: 408
Step-by-step explanation:
The present worth of Rs 2040 is due 4 years hence reckoning interest at 5% per annum will be Rs 2448.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.
Given,
Principle amount = Rs 2040
Time period = 4 years
Rate of interest = 5 %
Simple interest = PRT/100
Simple interest = 2040 × 5 × 4/100 = Rs408
Present worth = Principle amount + Interest
Present worth = 2040 + 408
Present worth = Rs 2448.
Hence present worth of the amount of Rs2040 in 4 years will be Rs 2448.
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The joint F.D.P of a bivariate VA (X, Y) is given
per:
a) Find the value of K.
b) Find the marginal F.D.Ps of X and Y
c) X and Y are independent?
Answer:
2
Step-by-step explanation:
ed
Convert 38,338,856 seconds to days. Round to 1 decimal.
Answer:
443.736759 day
Step-by-step explanation:
To convert a seconds to days, divide the time by the conversion ratio.
So.....
One day is equal to 86,400 seconds, you can use this formula to convert:
days = seconds ÷ 86,400
The time in days is equal to the seconds divided by 86,400.
Example: Convert 50,000 seconds to days (use the formula above)
50,000 sec = (50,000 ÷ 86,400) = 0.578704 day
A fashion designer wants to know how many new dresses women buy each year. A sample of 683 women was taken to study their purchasing habits. Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 4.6. Assume that the population standard deviation is 2. Round your answers to one decimal place.
The required confidence interval is (5.5<<5.7) for the mean number of dresses purchased each year.
As per the question, the given data as
[tex]\bar{x}[/tex] = 5.6
σ = 1.3
n = 650
The Z-critical value at the 95% confidence level is 1.960.
To determine the 99% confidence interval for the mean number of dresses purchased each year.
95% CI = [tex]\bar{x}[/tex] ± Z(Cr)(s/√n)
⇒ -5.6 ± 1.960(1.3/√650)
⇒ 5.6±0.100
⇒ (5.500,5.700)
Round to near 1 decimal place
⇒ (5.5,5.7)
Therefore, the required confidence interval is (5.5<<5.7)
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- Aimi is making Valentine's Day cards for everyone in her class. She plans to use a whole sheet of paper for each of her 2 closest friends. She will use 1/2 of a sheet of paper for everyone else in the class. She has 13 sheets of paper. How many of the smaller cards can she make?
is (5,2) a solution of x-y≤0
Answer:
No.
Step-by-step explanation:
x - y ≤ 0
(5, 2)
5 - 2 ≤ 0
3 ≤ 0 is false, so the answer is no.
Answer: No
Answer this please, I’ll reward brainalist + points, please help!
Answer:
4th one is 3rd option 5th one is 4th option 6th one is 5th opinion
Step-by-step explanation:
Answer:the answer is c
Step-by-step explanation:
Thao says she can find the answer to 8 x 90 by halving the 8 and doubling the 90 again and again until she gets down to 1 x 720. Is she correct?
Prove your answer.
Answer:
Yes
Step-by-step explanation:
4*180
2*360
1*720
8*90 = 720
Yes, halving the denominator and doubling the numerator gives the same results so she is correct.
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It shows how many parts have been taken out of the whole. The numerical number that comes before the sum of all the factors is the denominator of a fraction.
Let's consider a multiplication a × b
If we do half of a and double of b
Then,
a/2 × 2b = a × b
Again,
(a/2)/2 × 2(2b) = a × b
So it will remain the same.
So similarly 8 x 90 will also remain the same.
Hence "Yes, halving the denominator and doubling the numerator gives the same results so she is correct".
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please help i really can't figure this out
Answer:
The cost of one petunia is
⇒(6-6.5)/(8-8)
⇒-0.5/6
⇒-1/12
hope it helps..
have a great day!!
if f(x)=k g(x), what is the value of k
Answer:
the y intercept
Step-by-step explanation:
the k in algebra is the y intercept :))
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! TRIG RATIOS!!!!!!!!!!!!
Answer:
cos Z = 7/25, ∠Z ≈ 73.74°
Step-by-step explanation:
SOH CAH TOA
↑ adjacent/hypotenuse
cos Z = 7/25
=> Z = cos^-1 (7/25)
=> Z ≈ 73.74°
What’s the correct answer for question?
Answer:
The answer is 0
Step-by-step explanation:
Since any number squared by zero is 1 then x^0 is 1 and since -1^4 is -1 that gives you -1+1=0
NO WEBSITES ALLOWED (especially bitly)
Answer:
top right is an acute angle the top left is an obtuse angle and the bottom right is a right angle and I'm not to sure what the bottom right is
Answer:
Bottom right is a right
Step-by-step explanation:
and since it has no matching sides it would be a Isosceles
SOMEONE HELP PLEASE NEED ANSWER ASAP!!!
Answer:
3
Step-by-step explanation:
=12/4
the common ratio =3
Solve. -52 +63 +(-41) = 0 8 16. 5 3 Done
Answer:
No Solution
or -30
Step-by-step explanation:
Answer:
-30
Step-by-step explanation:
-52 + 63 (-41)
=-30
Solve: 16 + x = 12 then you can get the brainiest.
Please the the working. A car bought for $200 and sold for $250, what was the percentage gain of the cost price?
9514 1404 393
Answer:
25%
Step-by-step explanation:
A percentage change is calculated using the formula ...
pct change = ((new value) - (old value))/(old value) × 100%
For your numbers, this is ...
pct change = (250 -200)/200 × 100% = 50/200×100% = 25%
The selling price was 25% more than the cost price.
someone help me answer this!!
Answer:
30 ft is the answer.
Step-by-step explanation:
a = 24 ft
b = 18 ft
c = ?
According to the Pythagoras theorem,
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900
c = 30 ft
∴ The opposite corners of the living room are 30 ft apart.
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
given
[tex]y = - 67.9x + 679[/tex]
Substitute x into equation to find y.
[tex]y = - 67.9(2) + 679 \\ = - 135.8 + 679 \\ = 543.2miles[/tex]
Tell whether it is possible to draw a figure with the given description.
a triangle with sides of length 5 inches and 6 inches that meet at a 50° angle
Is it possible or not possible. Will give brinliest
Answer:
in my opinion it is not possibleStep-by-step explanation:
hope it helps you have a good day
What set has the largest mode? Just to inform you I took this once already and C is not the answer (I’ll give points + brainalist)
Answer:
D
Step-by-step explanation:
The mode of a set of numbers is the number that occurs the most.
For A, the mode is 3. For B, the modes are 4,5, and 6 . For C, the mode is 4. For D, the mode is 11.
The largest of these modes is 11, so the answer is D
Find the value of f(4) for the function
Answer:
f(4) = 7
Step-by-step explanation:
The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.
In our case
f(a) = 2(a + 4) -9
could be rewritten as
y = 2(a + 4) - 9
the thing on the inside of the parentheses signifies what the equation is dependent on.
so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.
f(4) = 2((4) + 4) - 9
Now, just follow the order of operations
f(4) = 2(8) - 9
f(4) = 16 - 9
f(4) = 7
7. Find the radius of a circle with an area of 30 square units. Round your answer to the nearest
whole number
8. Find the diameter of a circle with an area of 50 square units. Round your answer to the nearest
whole number.
9. A deck wraps around the back of a house. Find the area of the deck made up of rectangles.
Answer:f
tyn
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<GFD and <EFI
Step-by-step explanation:
<GFI and <GFD are supplementary angles.
<GFD and <EFI are vertical angles.
<JIF and <JIK are supplementary angles.
<JIF and <EFI are alternate interior angles.
i am so confused help me whats 2x3x4x6x7+7=
Answer:
1015 will be your answer!
Step-by-step explanation:
2 x 3 x 4 x 6 x 7 + 7 =
6 x 24 x 7 + 7 =
144 x 7 + 7 =
1008 + 7 =
1015
Answer:
Hi! The answer to your question is [tex]1015[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Given the data below, what is the upper quartile? 1,1,3,4,4,4,8,9,13,15
Answer:
9 is Q3
Step-by-step explanation:
1,1,3,4,4,4,8,9,13,15
3 is Q1
4 is Q2 (median)
9 is Q3
The upper quartile for the given data set is 3.
What are quartiles?In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles; as such, quartiles are a form of order statistic.
Given is a data as given below -
1,1,3,4,4,4,8,9,13,15
The first quartile Q1 is the 25th percentile. It is also called as the upper quartile. So, we can say that that the upper quartile is 3.
Therefore, the upper quartile for the given data set is 3.
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Help needed! Please needed ASAP!
Answer:
7)Bagel costs $3.5 and muffin cost $1.25
8) Ticket is $9 while snacks are $2
9) Correct because left hand side is zero
10) Correct because they both have same slope and same y-intercept
Step-by-step explanation:
7) Let bagel be x and muffin be y.
Thus;
For Aaron;
x + 3y = 7.25 - - - (1)
For bee;
x + 2y = 6 - - - (2)
Subtract eq 2 from eq 1 to get;
y = 1.25
Put 1.25 for y in eq 2;
x + 2(1.25) = 6
x + 2.5 = 6
x = 6 - 2.5
x = 3.5
Bagel costs $3.5 and muffin cost $1.25
8) Let movie ticket be x and snacks be y.
Thus;
2x + 3y = 24 - - - (1)
3x + 4y = 35 - - - (2)
Multiply eq(1) by 3 and eq(2) by 2 to get;
6x + 9y = 72 - - - (3)
6x + 8y = 70 - - - (4)
Subtract eq 4 from eq 3 to get;
y = 2
Put 2 for y in eq 3;
6x + 9(2) = 72
6x + 18 = 72
6x = 72 - 18
6x = 54
x = 54/6
x = 9
Ticket is $9 while snacks are $2
9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.
Thus, no solution exists because we can't isolate the variable to get an answer.
10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.
In this case, their y-intercept which is when x is 0 is;
3(0) + y = 9
y = 9
Their slope is also the same equal to 3.
What is the volume of this rectangular prism? All dimensions are in centimeters.5 4 2
Answer:
5 * 4 * 2 = 40 cubic centimeters
Step-by-step explanation: