Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
Create an equivalent ratio to 20:24 by dividing both sides by 4. What is the equivalent ratio
Answer:
5:6
Step-by-step explanation:
since you are dividing it by 4
I need help quick plz
Step-by-step explanation:
3rd one is the answer
-2x+1
Answer:
f(x) = 2x + 1
Step-by-step explanation:
You can plug in the value to each one and see if the function is true. The only one in which the function is true is f(x) = 2x + 1, so the answer is 2x + 1.
Need help in 31 and 33 thanks need ASAP
Answer:
31: |8| +|18|=|26|
33: |2| +|9|=|11|
since these numbers are already positive, the numbers will stay the same just add the bars in front and after it.
charlie wants to make a one time investment into an account that earns 6% interest compounded semi annually. to earn $338,893 after 26 years, approximately how much money did he invest?
[tex]s = p(1 + \frac{r}{m} ) {}^{mt}[/tex]
A.$72,866.33
B.$74,492.08
C.$528,673.08
D.$217,239.10
Answer:
PV= $72,866.33
Step-by-step explanation:
Giving the following information:
Interest rate= 6% compounded semiannually
Number of periods= 26*2= 52 semesters
Future value= 338,893
To calculate the initial investment (PV), we need to use the following formula:
PV= FV/(1+i)^n
i= 0.06/2= 0.03
PV= 338,893 / (1.03^52)
PV= $72,866.33
Answer:
The correct answer is $72,866.33
Cassidy is planning to obtain a loan from her bank for $210,000 for a new home. The bank has approved Cassidy's loan at a fixed annual interest rate of 2.7% compounded monthly for 15 years. Use the formula to determine Cassidy's approximate monthly payment.
P = Fp(t)/1 - (1+t)^-n
Answer choices:
A. Cassidy’s approximate monthly payment will be $5,717.26
B. Cassidy’s approximate monthly payment will be $1,721.15
C. Cassidy’s approximate monthly payment will be $1,474.58
D. Cassidy’s approximate monthly payment will be $1,420.11
Answer:
$1,420.11
Step-by-step explanation:
I just took the test and got it right
Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home option (D) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representing of loan payments according to the time in which the principal amount and interest are mentioned in a list manner
It is given that:
Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.
A fixed annual interest rate of 2.7% compounded monthly for 15 years.
The formula is:
[tex]P=\rm \dfrac{Fp(i)}{1-(1+i)^{-1}}[/tex]
Plug all the values in the above formula:
[tex]P=\rm \dfrac{210000(2.7\%/12)}{1-(1+(2.7\%/12))^{-15\times12}}[/tex]
After calculating:
P = $1420.11
Thus, Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.
Learn more about the amortization schedule here:
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Plz help
Giving 10 points
What is 12.36 rounded to the nearest whole number
Answer:
12.
Step-by-step explanation:
This is how to round 12.36 to the nearest whole number. In other words, this is how to round 12.36 to the nearest integer.
12.36 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 12
Fractional Part: 36
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 12.36 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 12.36 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 3 and 3 is less than 5. Therefore, we simply remove the fractional part to get 12.36 rounded to the nearest whole number as:
12
There are three car salespeople at the local car dealership. The table below shows how many cars each salesperson has sold.
Car salesperson Years of employment Cars sold
Ronaldo 222 104104104
Maria 777 322322322
Bruno 121212 516516516
Which car salesperson sold the most cars per year?
Choose 1 answer:
Choose 1 answer:
Answer:
bruno
Step-by-step explanation:
1+2+1+2+1+2+5+1+6+5+1+6+5+1+6=45
is a trapezoid a quadrilateral
Answer:
From what I know the answer is no
Step-by-step explanation:
A quadrilateral is a shape with four equal sides, the sides on a trapezoid are not equal therefore, its not a quadrilateral .
Answer:
True
Step-by-step explanation:
A quadrilateral is any shape with four sides. A trapezoid does have four sides, and therefore is a quadrilateral. The difference between a trapezoid and a "regular quadrilateral" is a trapezoid only has one pair of parallel sides, why a quadrilateral like a square or rectangle has two pairs.
Have a nice day! - I know that this is late, but this problem popped up on my dashboard and I thought I would answer :)
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Can someone help me please
Answer:
5
Step-by-step explanation:
3 is added to n translate expression.
Answer:
the ANSWER is 1
Please help! Just Answer if you know how to do it please . No wrong answers . Thank you.
Answer:
42
Step-by-step explanation:
3). AFTER PAYING HER BILLS CAROL HAS -$45 IN HER CHECKING
ACCOUNT. SHE RECEIVES A $150 PAYCHECK. HOW MUCH MONEY
DOES SHE HAVE IN HER ACCOUNT NOW?
Answer:105
explanation: -45
+150
_ ___
105
200% of 15 is what number
Answer:
=200/100 ×15
=2×15
=30
Hope it helps...
To estimate the mean height of female high school juniors, you take a
random sample of 30 female students and get these results (in inches):
72,51, 67, 68, 61, 69, 58, 56, 60, 56
66, 61, 60, 59, 59, 54, 58, 53, 68, 63
57, 62, 63, 64, 56, 62, 58, 67, 57, 70
If the o is 5.3, based on past research, and you want to construct a 97%
confidence interval using (estimate) + (margin of error)= (estimate)
what's your point estimate of ?
A. 30
B. 5.4
C. 65
D. 61.17
Answer:
61.16667 ; (58.958, 63.375)
Step-by-step explanation:
Given the data :
72,51, 67, 68, 61, 69, 58, 56, 60, 56, 66, 61, 60, 59, 59, 54, 58, 53, 68, 63, 57, 62, 63, 64, 56, 62, 58, 67, 57, 70
Standard deviation, σ = 5.3
Sample size, n = 30
The point estimate of the population mean:
Mean, m = Σx/n
Σx = 1835 ; n = 30
m = 1835 / 30
m = 61.16667
Confidence interval :
m ± Tn-1,α/2 * σ/sqrt(n)
61.16667 ± T30-1,0.03/2 * 5.3/sqrt(30)
61.16667 ± T29,0.015 * (5.3/sqrt(30))
61.16667 ± 2.282175 * (0.9676431)
Lower bound = 61.16667 - 2.20833 = 58.95834
Upper bound = 61.16667 + 2.20833 = 63.375
(58.958, 63.375)
hey will mark highest
Answer:
Step-by-step explanation:
x + 159 = 180
x = 21
Answer:
x + 159 = 180
x = 21
Step-by-step explanation:
Felix wants to buy some lemonade for the dinner party.
He sees these offers in a shop.
Felix decides to buy 2 packs of 8 cans.
He thinks 2 packs of 8 cans is more lemonade than 5 bottles of 1 litre.
Is Felix correct?
Show a check of your working.
Use the space below to show clearly how you get your answer.. Single line text.
(4 Points)
Answer:
Yes. Felix is correct.
Step-by-step explanation:
Find out how much ml does a can of lemonade have, I would assume its 330ml since I searched up the ml of a lemonade can.
Find out how much cans of lemonade there are in 2 packs of 8.
2 packs = 8 x 2 = 16 cans of lemonade
Now find out how much ml 16 lemonade cans equal to.
1 can of lemonade = 330ml
16 cans of lemonade = 330 x 16 = 5280ml
Now let's find 5 bottles of 1 litre.
1 litre x 5 = 5 litres.
5280 = 5 litres and 280ml
So Felix is correct about 2 packs of 8 cans is more than 5 bottles of 1 litre.
At lunch 4 friends share 3 pizzas equally what fraction of pizza does each friend get
Answer:
3/4
Step-by-step explanation:
3 divided by 4
Marine biologists are concerned that pollution from a nearby factory has affected the health of local sea urchins. Which of the following is most likely to be the population of interest?
Choose the correct answer below
A 4 sea urchins with abnormal coloration
B. All of the sea urchins near the plant
C. All of the sea urchins in the entire ocean
D. 20 sea urchins gathered from tidal pools
Answer:
its C. all of the sea urchin in the entire ovean is the most likely to be the population of interest
The population of interest will most likely be option B. all of the sea urchins near the plant.
The term 'population of interest' refers to the group or number from which inference is made or done for research purposes. And from this group, the researcher will try to draw conclusions from his/her study.
A population of interest is generally taken for studies or statistical references.In the given scenario, the biologists found that the nearby factory is directly affecting the health of the local urchins.And in conducting the research, the population of sea urchins near the plant will be taken or regarded as the population of interest.For the marine biologists to determine the extent of the factory's effect on the sea urchins, they would consider or take the sea urchins near the factory population as the population of interest. Thus, the correct answer is option B.
Learn more about population of interest here:
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The office store sells printer paper. Last week, The store sold 324 packs of white paper, which was 40% of the paper it was sold for the whole week. The store also sold 81 packs of blue paper,243 packs of yellow paper,and 162 packs of pink paper, The store manager needs to determine The percentages of the other paper sold
Answer:
72%
Step-by-step explanation:
At a football game, 45% were supporting the visiting team. If 946 people attending supported the home team, what was the total number of people attending the game?
Answer: 1720
Step-by-step explanation:
if ther are 36 eggs in 4 cakes, what should we divide by?
I need help on this problem
Please
The tutor button has not been working
Answer: 14 and 3.5
Step-by-step explanation:
Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which wich equation can my used to find how much of project she painted in all
Answer: The project is 7/8 painted.
Step-by-step explanation: Add 1/8 to 3/4 for the total.
Use the least common denominator, /8
3/4 is equivalent to 6/8.
6/8 + 1/8 = 7/8
Step-by-step explanation: To find how much of the wall Maya painted, we will add the two fractions. Let's do it step-by-step.
1. These fractions have unlike denominators, to make them alike, we have to find the LCD (Least Common Denominator).
3/4 = 6/8
1/8 = 1/8
Note: What you did to the bottom, you do to the top.
1a. I multiplied 2 by 3 and 4 to get 6/8.
1b. I multiplied 1 by 1 and 8 to get 1/8.
2. Since we have like denominators, we can add!
[tex]Solve:\frac{6}{8} +\frac{1}{8} = \frac{7}{8}[/tex]
Therefore, your answer is 7/8. The fraction don't need to be reduced to lowest terms.
Please help me with my work
Answer:
In the image below
Step-by-step explanation:
(Ooo yay 2-column proofs are fun)
Suppose you have $50, how much change would you receive if you bought a DVD that cost $27.99?
Answer:
$33.01
Step-by-step explanation:
Answer:
33.01
Step-by-step explanation:
3. Molly bought four rose bushes for $16.40 each. Use
mental math to find the total cost of the bushes.
Justify your answer by using the Distributive Property.
Answer:
$65.60
Step-by-step explanation:
4×16.40 = 4×(16+0.40) = (4×16) + (4×0.40) = 64 + 1.60 = 65.60
What would the height need to be for this curve to be a density curve?
-1/6
1/6
1/5
1
Answer:
One-sixth or 1/6
Step-by-step explanation:
A probability density curve satisfies several rules: It never goes below the horizontal axis, i.e. it's never negative. ... The chance of the quantity falling between a and b is the area under the curve between the point a and b.
The height of density curve is 1/6. Therefore, option B is the correct answer.
What is density curve?In probability theory, a probability density function, or density of a continuous random variable, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the value of the random variable would be close to that sample.
A density curve is always on or above the horizontal axis. The area underneath a density curve is exactly 1. The area under a density curve and above any range of values is the relative frequency of all observations that fall in that range.
The curve will never dip below the x ≥ Height>0
Area under the curve=Area of a rectangle with length=height of curve width=6
=Height of curve × 6
Area under the curve = 1
⇒ Height of curve × 6=1
=1/6
The height of density curve is 1/6. Therefore, option B is the correct answer.
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Suppose the variance in trunk diameter of the giant sequoia tree species is 15.7m^2, while the variance in trunk diameter of the California redwood tree species is 10.6m^2. Let x1 represent the average trunk diameter of four randomly sampled giant sequoia trees, and let x2 represent the average trunk diameter of three randomly sampled California redwood trees. If the random sampling is done with replacement, what is the standard deviation σ(x1−x2) of the sampling distribution of the difference in sample means x1−x2 ?
Answer:
[tex]\mathbf{ \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]
Step-by-step explanation:
Given that:
[tex]\overline x_1 =[/tex] the average diameter of 4 randomly select sequoia trunk from giant trees
[tex]\overline{x_2}[/tex] = the average diameter of 3 randomly selected trunk in California trees.
Thus;
sample size [tex]\mathbf{n_1 = 4 \ \ \& \ \ n_2 = 3}[/tex]
Variance:
[tex]\mathbf{\sigma_1^2 = 15.7 }[/tex]
[tex]\mathbf{\sigma_2^2 = 10.6 }[/tex]
Recall that:
[tex]\mathbf {( \overline x_1 - \overline x_2) \sim Normal \Big ( \mu_1 -\mu_2 \ , \ \dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_12^2}{n_2} \Big )}[/tex]
[tex]\mathbf{Mean ( \overline x_1 - \overline x_2) = \mu_1 - \mu_2}[/tex]
Therefore:
The standard deviation [tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2} } }[/tex]
[tex]\mathbf{ \overline x_1 - \overline x_2 = \sqrt{\dfrac{15.7}{4} + \dfrac{10.6}{3}} }[/tex]
The standard deviation of the sampling distribution of the difference in the sample means is 9.95
The given parameters are:
Variance: [tex]\sigma_1 ^2 = 15.7[/tex], [tex]\sigma_2 ^2 = 10.6[/tex]Sample size: [tex]n_1 = 4[/tex], [tex]n_2 = 3[/tex].For a normal distribution we have:
[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2}}[/tex]
So, the equation becomes
[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{15.7^2}{4} +\frac{10.6^2}{3}}[/tex]
Evaluate the exponents
[tex]\bar x_1 - \bar x_2 = \sqrt{\frac{246.49}{4} +\frac{112.36}{3}}[/tex]
[tex]\bar x_1 - \bar x_2 = \sqrt{61.62+37.45}[/tex]
Evaluate the sums
[tex]\bar x_1 - \bar x_2 = \sqrt{99.07}[/tex]
Evaluate the square roots
[tex]\bar x_1 - \bar x_2 = 9.95[/tex]
Hence, the standard deviation of the sampling distribution of the difference in the sample means is 9.95
Read more about sampling distribution at:
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A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioningsystems:
Yes No
Evidence of electrical failure Yes 55 17
Electrical failure No 32 3
The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability.
a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure
Answer:
A) 0.8131 ≈ 0.81
B) 0.6322 ≈ 0.63
C) 0.7639 ≈ 0.77
Step-by-step explanation:
A)
Total number of units
= 55 + 32 + 17 + 3
= 107
hence the probability that the failure involves a gas leak
= ( 55 + 32 ) / 107
= 0.8131
B) probability that there is evidence of electrical failure given tat there is a gas leak
P ( A / B ) = [tex]\frac{P(A n B)}{P(B)}[/tex]
P( A∩B ) = 55/107 = 0.5140
P ( B ) = ( 55 + 32 ) / 107 = 0.8131
hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322
A = failure due to electrical
B = failure due to gas leak
C) Probability of a gas leak given that there is evidence of electrical failure
P ( B / A ) = [tex]\frac{P(BnA)}{P(A)}[/tex]
P ( B ∩ A ) = 0.5140
P( A ) = ( 55 + 17 ) / 107 = 0.6729
hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639
Please help how do you do this? Can someone please explain