Answer:
The 99% C.I is ( 367.703, 382.297 )
Step-by-step explanation:
Given that:
sample mean [tex]\overline x[/tex] = 375
Population standard deviation [tex]\sigma[/tex] = 20
Sample size n = 50
The level of significance [tex]\alpha[/tex] = 1 - C.I = 1 - 0.99 = 0.01
From z tables:
The critical value = [tex]Z_{\alpha /2}[/tex] = [tex]Z_{0.005}[/tex] = 2.58
The margin of error E = [tex]Z_{\alpha /2}[/tex] [tex]\times \dfrac{\sigma }{\sqrt{n}}[/tex]
The margin of error E = [tex]2.58 \times \dfrac{20}{\sqrt{50}}[/tex]
The margin of error E = 7.297
The limits of 99% C.I are expressed as:
Lower limit = [tex]\overline x - E[/tex] = 375 - 7.297
Lower limit = 367.703
Upper limit = [tex]\overline x + E[/tex] = 375 + 7.297
Upper limit = 382.297
The 99% C.I is [tex]\overline x \pm E[/tex] = [tex]375 \pm 7.297[/tex]
= ( 367.703, 382.297 )
A chef can finish a catering job in 9hrs. His student can do the same job in 18hr. How long will it take them to do the job if they work together?
Answer:
if they do together it will take 9 hour, same like which the chef can finish.
Convert the following to the nearest tenth. (You may use a calculator.)
105 kilometers to miles
miles = ?
Answer:
65.24 miles.
Step-by-step explanation:
find the point of intersection of the lines represented by the equation 3x²-5xy-2y²-x+9y-4=0.
Answer:
Point of Interesection: (1, 1)
Step-by-step explanation:
Given the equation 3x^2-5xy-2y^2-x+9y-4 = 0.
We can translate this into a system of equations: y = 1/2x + 1/2, and y = -3x + 4.
The value of one score in a distribution is changed from X = 20 to X = 30. Which measure(s) of central tendency is (are) certain to change?
Answer:
Mean
Step-by-step explanation:
The three basic measures of central tendencies are mean, median and mode.
Mean can be described as the average value of a set of numbers or scores in a distribution.
One of the ways the mean can be calculated is by dividing the sum of the scores in a distribution by the number of scores in the distribution. This can be represented mathematically as follows:
Mean = Sum of the scores in a distribution / Number of scores in the distribution ........ (1)
Median is the middle number when the scores in a distribution is arranged in ascending or descending order.
Mode is the most frequent number or score in a distribution.
Out of the three basic measures of central tendencies only the mean will certainly change when there is a change in one of the scores. This is because, we can still have the same score as the most frequent and the same number as the median but the mean will change.
For example, we can prove that the mean will certainly change if we assume that the sum of the scores in a distribution is 200 and number of scores in the distribution is 10, wee can substitute this into equation (1) and have:
Mean = 200 / 10 = 20
Now, as given in the question, if the value of one score in the distribution is changed from X = 20 to X = 30. We can obtain the difference as follows:
Difference in score = 30 - 20 = 10
The new mean can be calculated as follows:
New mean = (200 + Diffrence in score) / 20 = (200 + 10) / 20 = 210 / 20 = 21
Therefore, the mean changed by 1 from 20 to 21. This therefore proves that the mean will certainly change.
Of the measures of central tendency, the measure which will certainly change is the mean.
Measures of central tendency include mean, median and mode of a distribution.
The mean refers to the average, hence, the a change in one value in the distribution would certainly change the mean of the distribution.
The mode refers to the highest occurring value in the distribution.
Median denotes the number at the middle of a distribution once it is arranged in order of magnitude.
For instance :
2, 2, 10, 15, 20The mean = (2 + 2 + 10 + 15 + 20) / 5 = 49/5 = 9.8
Mode = 2 (highest occuring)
Median = 10 (middle value)
If X = 20 is changed to X = 30
2, 2, 10, 15, 30The mean = (2 + 2 + 10 + 15 + 30) = 59/5 = 11.8
Mode = 2 (highest occuring)
Median = 10 (middle value)
Therefore, the measure which would certainly change is the mean.
Learn more : https://brainly.com/question/8882508
Select the better deal in the pair. Then give the unit rate for the better deal. $21 5 gal or $61.05 15 gal
Answer:
The second one is a better deal
Step-by-step explanation:
Answer:
$61.05 for 15 gal is better deal
Step-by-step explanation:
$61.05 divided by 15=$4.07 per gallon
$21 divided by 5= $4.2 per gallon
Please help I would appreciate it
Use this information and the information you have learned in the last three lessons to decide which savings option is best for Vincent. Use the PACED decision-making method and show your work. Which savings option is best for Vincent?
Answer:
(the biggest %off would be the answer, but ther is no list of decisions or different coupons)
Step-by-step explanation:
again, 100% off would be the best deal, but no answer choices.
(i might be wrong;im farming for brainly points.)
Pleaseeeee help ASAP will give BRAINLEIST!!
pls ignore my answer in the text box
Answer:
IS IT FREE??????????????????/
Lynn wants to multiply 44 × 305. She says that all she has to do is find 4 × 305 and then double that number.
Which explains whether or not Lynn’s method will give her the correct answer?
Lynn's method will give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 44.
Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 6, not by 44.
Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 8, not by 44.
Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 16, not by 4
Answer:
Lynn's method will not give her the correct answer.
Multiplying by 4 and then doubling the product is the same as multiplying by 8, not by 44.
Step-by-step explanation:
I just solved the equation of every answer and this is the one that
(305 x 4) x 2= (305 x 8) x 2.
Message me if you don't understand
Round 683,492 to the nearest hundred thousand,
A. 600,000
B. 683,000
C. 680,000
D. 700,000
Plz hurry
Answer:
since you're rounding to the hundred thousand, it would round up to the 4th option as 683,492 is closer to 700,000 than 600,000
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours
Answer:
The answer is below
Step-by-step explanation:
The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours b) What are the quartiles (the 25% and 75% values) of batterylife? c) c) What value of life in minutes is exceeded with 95% probability? (Roundthe answer to the nearest integer.)
Solution:
The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]
Given μ = 270 minutes, σ = 50 minutes
a)
P(x > 4 hours) = P(x > 240 minutes)
[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{240-270}{50} =-0.6[/tex]
From the distribution table, P(x > 240) = P(z > -0.6) = 1- P(z < 0.6) = 1 - 0.2743 = 0.7257
c) P(z > z*) = 0.95
1 - P(z < z*) = 0.95
P(z < z*) = 0.05
This corresponds to a z score of -1.645
[tex]z=\frac{x-\mu}{\sigma}\\ \\-1.645=\frac{x-270}{50} \\\\x=187.75 \ minutes[/tex]
For 75%, P(z < z*) = 0.75
This corresponds to a z score of 0.68
[tex]z=\frac{x-\mu}{\sigma}\\ \\0.68=\frac{x-270}{50} \\\\x=304 \ minutes[/tex]
c) For 25%, P(z < z*) = 0.25
This corresponds to a z score of -0.67
[tex]z=\frac{x-\mu}{\sigma}\\ \\-0.67=\frac{x-270}{50} \\\\x=236.5 \ minutes[/tex]
What is the probability that from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI
Complete Question
Super Bowl XLVI was played between the New York Giants and the New England Patriots in Indianapolis. Due to a decade-long rivalry between the Patriots and the city’s own team, the Colts, most Indianapolis residents were rooting heartily for the Giants. Suppose that 90% of Indianapolis residents wanted the Giants to beat the Patriots. What is the probability that from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI?
Answer:
The value is [tex]P(X < 0.95) = 0.95224[/tex]
Step-by-step explanation:
From the question we are told that
The proportion that wants Giants to win p = 0.90
The sample size is n = 100
Generally the mean of this sampling distribution is
[tex]\mu_{x} = 0.90[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{\frac{p(1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.90 (1- 0.90)}{100} }[/tex]
=> [tex]\sigma = 0.03[/tex]
Generally the probability that from a sample of 100 Indianapolis residents, fewer than 95% were rooting for the Giants in Super Bowl XLVI is mathematically represented as
[tex]P(X < 0.95) = P(\frac{ X - \mu_{x}}{\sigma} < \frac{0.95 -0.90}{0.03} )[/tex]
[tex] \frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 0.95) = P(Z < 1.667 )[/tex]
=> [tex]P(X < 0.95) = 0.95224[/tex]
What is the equation of the vertical line through
(
−
8
,
5
)
(−8,5)left parenthesis, minus, 8, comma, 5, right parenthesis?
Answer:
y= 13/4x - 21
Step-by-step explanation:
What we need to do is find the slope first. We know the slope formula is
y_1 minus y_2/ x_1 minus x_2. I am assuming that one point is (8,5) the other is (4,-8). So when we insert these coordinates into the equation,
[5-(-8)/8-4] we result with 13/4 as the slope. We can now use the slope-intercept form! ( y=mx+b) 13/4 can be put into this equation as m, because its the slope. So, now we have y=13/4x+b. The last step to find the equation is inserting the first coordinates given.(8,5) 5= 8(13/4)+b. 8 times 13 divided by 4 is 26. This is what we factored to so far: 5= 26+b. We are trying to solve for b! So lastly, 5-26= -21 and that is b. Once again, we can use the slope intercept formula since we know both b and the slope. FINAL ANSWER: y=13/4x-21. I hope this can help!
Answer:
-8
Step-by-step explanation:
LaWanda was born in 2001 and plans to retire at age 64. According to her most recent Social Security statement, her full benefit will be $2,100 per month. What is her monthly benefit if she begins claiming Social Security at age 64?
A)$1,430
B)$1,640
C)$1,560
D)$1,680
Answer:
It might be A
Step-by-step explanation:
but that's what I think
If 2c + 1 = 11, what is the value of 2c?
4
5
10
12
Answer:
10
Step-by-step explanation:
ur welcome
Answer:
10
Step-by-step explanation:
I just took the quiz soooooo yuh hope this helps
........................?
Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)
Complete Question
Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)
calculate for each
(a) z = 2.30
(b) z = -1.7
Answer:
a
[tex]p-value = 0.021448[/tex]
b
[tex]p-value = 0.08913[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 30 \ psi[/tex]
The null hypothesis [tex]H_o : \mu = 30[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 30[/tex]
Considering question a
Here the test statistics is (a) z = 2.30
From the z table the probability of (Z > 2.30) is
[tex]P(Z > 2.30 ) = 0.010724[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > 2.30 )[/tex]
=> [tex]p-value = 2 * 0.010724[/tex]
=> [tex]p-value = 0.021448[/tex]
Considering question b
Here the test statistics is (a) z = -1.7
From the z table the probability of (Z < -1.7) is
[tex]P(Z < -1.7 ) = 0.044565[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z < -1.70 )[/tex]
=> [tex]p-value = 2 * 0.044565[/tex]
=> [tex]p-value = 0.08913[/tex]
Helpppppppppppppppppp
Answer:
B is the right answer I believe
A company deposited a $420 check in its bank account. However, the amount was recorded as $240 in the company’s books (checkbook). Which journal entry adjustment should the accountant make?
A.
The cash account will be debited by $420.
B.
The cash account will be credited by $240.
C.
The cash account will be debited by $180.
D.
The cash account will be credited by $420.
Answer:
I think the answer is C.
Step-by-step explanation:
You subtract the difference with the real amount with the mistake and get $180.
What will happen to the mean if the median will increase?
Answer:
It will increase
Step-by-step explanation:
As the mean increases the median also increases.
To solve the exponential inequality below by graphing, Sasha creates a table of values representing the left side of the inequality.
32x-3 < 3
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 1, 2, 3. Column 2 is labeled y with entries StartFraction 1 Over 27 EndFraction, one-third, 3, 27.
What is the solution set for the inequality?
(2, ∞)
(3, ∞)
(−∞, 2)---- this one is the correct one
(−∞, 2) ∪ (3, ∞)
Answer: (-∞,2)
Step-by-step explanation:
correct on edg2020
Answer:
Letter c is the correct answer
Step-by-step explanation:
If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them both?
Answer:
105
Step-by-step explanation:
Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. The number of ways 13 people can line up in a row for concert tickets. Does the situation involve permutations, combinations, or neither? Choose the correct answer below.
Step-by-step explanation:
The situation involves permutation. Permutation deals with arrangements of objects. It talks about ways peoples or objects can be arranged with or without restriction. According to the question,
The number of ways 13 people can line up in a row for concert tickets can be expressed as
13! = 13 * 12 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
13! = 6,227,020,800 ways
Hence the number of ways 13 people can line up in a row is 6,227,020,800 different ways and the situation involves permutation.
A video game arcade offers a yearly
(39)
2 + 3 = 4
(y + 4) (
(
2 + 5 + 4
( + 1) (
(y + 4)()
= ()
( + 1)()
= ()()
Answer:
2&u4hds
Step-by-step explanation:
ok
A market sells 7 oranges for2.45 how muck will 8 oranges cost
Answer:
17.15
step by step explanation
2.45 divided by seven equals .35.
So each oranges is .35¢
So now multiply .35 by 8 and you’ll get a total of $2.80
$2.80 for 8 oranges.
D 2. Choose the correct answer.
Art's wife wants to cover the floor with 1 foot square carpet tiles. The tiles are sold in boxes of 20 for $38.90. Before Art's wife can buy the correct amount of
boxes, what other information does she need to know?
O the color of the tiles
O the dimensions of the floor
O the amount of tax
all of these
Zoe has 8 cups of whole-wheat flour. If each loaf of her favorite bread requires Three-fourths of a cup of whole-wheat flour, how many whole loaves of bread can she make using 8 cups?
A number line going from 0 to 8.
4 loaves
6 loaves
10 loaves
11 loaves
Answer:
10
Step-by-step explanation:
Jeremy earns $9.75 per hour at his after school job.
Write an equation to find the total number of hours, h,
Jeremy worked if he earned $126.75 last week.