Answer:
Hence, the margin error is [tex]1415.62189[/tex] and the confidence interval for the mean is [tex](41234.38,44065.62)[/tex].
Step-by-step explanation:
Given :
Sample size [tex]n=135[/tex]
Sample mean [tex]\bar{x}=\$42,650[/tex]
Standard deviation [tex]\sigma =\$8,988[/tex]
Confidence level is [tex]93\%[/tex]
(a)
The margin error [tex]=Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]
[tex]\because \alpha =1-[/tex]confidence level
[tex]\Rightarrow \alpha=1-93\%=1-0.93[/tex]
[tex]\Rightarrow \alpha=0.07\Rightarrow \frac{\alpha}{2}=0.035[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.035}=1.83[/tex] from the [tex]z-[/tex]table
Now, the margin error[tex]=1.83\times \frac{8988}{\sqrt{135}}[/tex]
[tex]=1415.62189[/tex]
(b)
The confidence interval for the mean [tex]\mu\\[/tex] :
[tex](\bar{x}-\text{margin error},\bar{x}+\text{margin error})[/tex]
[tex]\Rightarrow (\bar{x}-1415.62189,\bar{x}+1415.62189)[/tex]
[tex]\Rightarrow (42650-1415.62189,42650+1415.62189)\\\Rightarrow (41234.38,44065.62)[/tex]
sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?
MUST SHOW WORK
Answer:
Sonya got 16 questions correct.
Step-by-step explanation:
8/10=80%
80%×20=16
(To check)
16/20=80%
what is the estamate 1/4 of 16
Answer:
4
Step-by-step explanation:
1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
The answer is C: Rectangular Prism
Step-by-step explanation:
8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.
9514 1404 393
Answer:
4
Step-by-step explanation:
Undo what is done to x.
3x > 11 . . . . . subtract 5
x > 11/3 = 3 2/3 . . . . divide by 3
The smallest value of x is 4.
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 35 individuals who consider themselves to be avid Internet users results in a mean time of 1.99 hours watching television on a weekday.
Required:
Determine the likelihood of obtaining a sample mean of 1.99 hours or less from a population whose mean is presumed to be 2.45 hours.
Answer:
Step-by-step explanation:
greatest common factor of 27q^2 - 9
Answer:
9(3q^2−1)
Step-by-step explanation:
Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for speeding if they ran a red light?
Answer:
four out of 100 (4%)
Step-by-step explanation:
simplify the expression 9n+1/4+6y+4n-4y
Answer: =13n+2y+1/4
Step-by-step explanation: Hope this help :D
Let simplify step by step
9n+1/4+6y+4n-4y
=9n+1/4+6y+4n-4y
combine like terms:
=9n+1/4+6y+4n+-4y =(9n+4n) +(6y+-4y) +(1/4)
=13n+2y+1/4 Hope
Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike
Answer:
7.5 - 3.8 = m
Step-by-step explanation:
The equation can be used to determine the number of miles (m) Lexi has left to hike will be m + 3.8 = 7.5.
What is subtraction?It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail.
Then the equation can be used to determine the number of miles (m) Lexi has left to hike will be
Let m be the number of miles left. Then we have
m + 3.8 = 7.5
Subtract 3.8 on both sides, then we have
m = 3.7
More about the subtraction link is given below.
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I need help! :) +no links please and thank you!
Answer:
Step-by-step explanation:
(14×2)+(14×4)
7×(3+5)
c, e and g
I already know the answer I just need someone to explain step by step how to solve it. I need to know the process
Step-by-step explanation:
First Multiply two of the numbers, for example, 15 x 6 and then multiply that by the last number, 90 x 13 and thats your answer. Hope it helps!
Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)
4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?
Answer:
I believe about 30.8%
Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?
Answer:
12, because both dogs and birds only have 12 heads
Robyn can rent an unfurnished apartment for $850 per month. The landlord requires first and last months' rent, plus a security deposit of $350. How much will Robyn have to pay before she can rent this apartment?
Answer:
2,050 dollars is how much she will have to pay
Step-by-step explanation:
Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?
A: $240.31
B: $245.83
C: $230.12
D: $229.81
ANSWER:
245.83
Step-by-step explanation:
16,780/100=167.8
167.8 x 1.465= 245.827
Using unitary method, Adam's monthly payment is 245.83 dollar.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.
Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.
Learn more about unitary method here
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Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
1. semicircle=14.1372mm
parallelogram=40 mm
54.1372 mm^2
2. 180 ft
hope this helps
have a good day :)
Step-by-step explanation:
How to graph 5a-6b=18
Answer:
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Step-by-step explanation:
Let's solve for a .
[tex]5a+6b=18[/tex]
Step 1: Add -6b to both sides.
[tex]5a+6b+−6b=18+−6b[/tex]
[tex]5a=−6b+18[/tex]
Step 2: Divide both sides by 5.
[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]Let's solve for b.
[tex]5a+6b=18[/tex]
Step 1: Add -5a to both sides.
[tex]5a+6b+−5a=18+−5a[/tex]
[tex]6b=−5a+18[/tex]
Step 2: Divide both sides by 6.
[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....Plz help me well mark brainliest if correct.....?
Answer:
B. 8 x 12
Step-by-step explanation:
First of all, it has an area of 96
So lets find the multiplication pair that equals 96.
10 x 10 = 100 NO
6 x 16 = 96 YES
8 x 12 = 96 YES
Now we have two equations: 8 x 12 and 6 x 16
Perimeter of 40 means:
2(a+b) = 40
Lets input the two equations:
2(8+12) = 2 x 20 = 40
2(6+16) = 2 x 22 = 44
So the dimensions that works is 8 x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.
Answer:
the consecutive numbers are: 23, 25, 27, 29, 31.
Step-by-step explanation:
23+25+27 is 75
29+31 is 60
75-60 is 15
Give the coordinates of point D.
A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)
if sin= 3/4 what are the values of cos 0 and tan 0
Answer:
Your choice is correct
Step-by-step explanation:
The first choice
***Any links will be reported***
****i will mark brainliest****
Answer:
hambuger cheesebuger big mac whooper
Step-by-step explanation:
Answer:
This is easy. Just to help you, and not necessarily cheat, it already tells you what the missing numbers are. So if a is 3, you can just go 2 x 3 x 3. when numbers are together like this, or letters, you multiply. (3(4), or 2a) You do that with the rest of your equations, and you will get your answers. But if this isn't what you having a problem with, then just tell me.
Solve using square roots: (x-6)^2=144
x^2-12x+36-144=0
x^2-12x-108=0
(x-18)(x+6)
X=18,-6
What is the sum? Complete the equation.
-5 + (20)
Answer: The answer is 15
HOPE THIS HELPS AND HAVE A VERY GOOD DAY
The owner of a restaurant wants to collect data to find out the customers' opinions on the variety of appetizers offered on the menu. Which group should she survey to collect the best data? ANSWERRR QUCIKK A.
thirty customers who asked to share their opinions of the appetizers with the chef
B.
fifty randomly selected customers who dined at the restaurant
C.
sixty members of the local community
D.
the first fifty customers who dine at the restaurant without ordering an appetizer
Fifty randomly selected customers who dined at the restaurant will be best to collect the data thus, option (B) is correct.
What is sampling?Sampling is collecting some items in a lot randomly to predict opinions about the lot.
For example; the Selection of goods, selection of people
Sampling is a useful technique because if we do it for all samples then it will take time and cost as well.
As per the given,
To find out the customers' opinions on the variety of appetizers offered on the menu we need to take randomly customers and the customers who dine at the restaurant because if they did not dine then they didn't know the verities.
The random selection gives the exact results.
Hence "Fifty randomly selected customers who dined at the restaurant will be best to collect the data".
To learn more about sampling,
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1) Which division expression is the given figure below modeling?
10 points
A) 2/3=4
B) 4 = 2/3
C) 4x2/3
D) 2/3 x 4
Figure to use with Problem #1
plwaseeee helppp!! plelalslsllslslz
Answer:
45 degrees
opposite angles are the same so
30+30=60
105+105=210
210+60=270
360-270=90
but since we have 2 angles we divide it by 2
so angle 1 is 45 degrees
hope it helps :)
What is the real number of ∞?
Answer:
Infinity is not a real number, its an idea.
Step-by-step explanation:
An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.
If something cost $60 and it has a markdown of 40% what is the sale price
Answer:
Your total is now $36
Step-by-step explanation:
Multiply 60 times 40%
and it will show that you saved $24
subtract $60 - $24
there's your answer.