Answer:
The 95 confidence interval is [tex]9.738 < \mu < 10.262 [/tex]
Step-by-step explanation:
The sample size is n = 7
The sample data is 9.8, 10.2, 10.4, 9.8,10.0, 10.2, and 9.6 liters
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n }[/tex]
=> [tex]\= x = \frac{ 9.8 + 10.2 + 10.4 +\cdots + 9.6}{7 }[/tex]
=> [tex]\= x = 10[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum ( x_i - \= x)^2 }{n-1} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ ( 9.8 - 10)^2 + ( 10.2 - 10)^2+ \cdots + ( 9.6 - 10)^2}{7-1} }[/tex]
=> [tex]\sigma =0.283[/tex]
Note : We are making use of t distribution because n is small i.e n < 30
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 7 - 1[/tex]
=> [tex]df = 6[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of at a degree of freedom of is
[tex]t_{\frac{\alpha }{2}, 6 } = 2.447 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , 6} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.447 * \frac{0.283}{\sqrt{7} }[/tex]
=> [tex]E = 0.262 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]10 -0.262 < \mu <10 + 0.262[/tex]
=> [tex]9.738 < \mu < 10.262 [/tex]
In the accompanying diagram, line a intersects line b.
Answer:
C. 10
Step-by-step explanation:
[tex] (x + 5) = (2x - 5) [/tex] (vertical angles are congruent)
[tex] x + 5 = 2x - 5 [/tex]
Add 5 to both sides
[tex] x + 5 + 5 = 2x [/tex]
[tex] x + 10 = 2x [/tex]
Subtract x from both sides
[tex] 10 = 2x - x [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
There are 150 calories in 12 ounces of Dr. Pepper. How
many calories are in 8 ounces of Dr. Pepper?
Answer: 100 Ounces
Step-by-step explanation: You will have to divide 150 by 12 to see how many calories are in 1 ounce which you should get 12.5 then you multiply 12.5 by how ever many ounces you need to figure out which is 8 ounces in the problem. So in conclusion your final answer should be 100! ( If this was helpful please mark me down for brainliest) Thank you and have a great day!
Answer:1 hundo
Step-by-step explanation:
(01.02 MC)Which number line shows the solution to −6 − (−2)?
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 8 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 4 is shown.
Given:
The expression is
[tex]-6-(-2)[/tex]
To find:
The solution of given expression on the number line.
Solution:
We have,
[tex]-6-(-2)=-6+2[/tex]
[tex]-6-(-2)=-4[/tex]
So, the solution is -4.
Start from point 0, then use arrow to jump on -6 then use another arrow to jump 2 units right, as (-)(-)=(+) and positive sign means jump towards positive direction.
On the number line,
1. An arrow pointing from 0 to negative 6.
2. Another arrow pointing from negative 6 to negative 4.
Therefore, the correct option is A.
Answer:
what he say yeah
Step-by-step explanation:
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answer:
18
Step-by-step explanation:
The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's not possible) .
0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.
Answer 18
Answer:
18
Step-by-step explanation:
please i’ll give you brainly thingy
Answer:
it would be 12
Step-by-step explanation:
divided 12.25 by 12 and it gives you 1.0 giving you the lowest out of all of them when doing the math
Answer:
D. 12
Step-by-step explanation:
The length of a rectangle garden is 5 m greater than the width the area of the garden is 66 m² find the dimensions of the garden
Can you help me solve this
Answer:
A number that is 10x greater than 0.03 is 0.3.
Step-by-step explanation:
Answer:
The answer is c have a nice day
What is the measure of BDC
Answer:
105 degrees
Step-by-step explanation:
180 - 75 = 105
The zeroes of the function are:
A) -2 and 0
B) 0 and 4
C) -2, 0, and 4
Ellie bakes 12 muffins everyday since Monday. Jacob said that on Friday, she would be able to bake 72 muffins in total. Is Jacob right? Yes or no, explain. :)
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households.
a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume?
Integers to ______.
b. Find to 3 decimal places the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula.
Probability = ______.
Answer:
(a) S = {0, 1, 2, ..., 10}
(b) 0.256
Step-by-step explanation:
It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.
(a)
X = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.
X follows a binomial distribution.
The sample space of X is:
S = {0, 1, 2, ..., 10}
(b)
Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:
[tex]P(X=7)={10\choose 7}(0.74)^{7}(1-0.74)^{10-7}[/tex]
[tex]=120\times 0.121513\times 0.017576\\\\=0.25628549856\\\\\approx 0.256[/tex]
Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.
a rising unemployment rate affect a society by:
A. discouraging busissnesses from investing
B.making it harder for citizens to find jobs
C. causing inflation rates to rise rapidly.
D.reducing the value of a country's currency
Answer: B
Step-by-step explanation:
just took the quiz
A rising unemployment rate affect a society by making it harder for citizens to find jobs.
What is Unemployment?The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.
As, we know that unemployment means the shortage of jobs for the citizens.
So, rising unemployment rate in society creating trouble for the citizens to find jobs.
Learn more about unemployment here:
https://brainly.com/question/14227610
#SPJ2
Which answer is it? I dont get it
Answer:
10% of the answer should be 6
Step-by-step explanation:
Help me- 3.4 + 12a / 4 for a = 10
Take your time.
Find the quotient:
-37.44 ÷ 4.8
Options
1. -9.2
2. -7.8
3. 5.8
4. 7.8
Check reasonableness by estimating:
-37.44. 4.8
Options Options
1. -38. 1. -5
2. -35. 2. -4
3. 30. 3. 4
4. 38. 4. 5
Estimated quotient:
Options
1. -10
2. -7.6
3. -5
4. 7.6
Answer:
1. 7.8.
2. 38. 4.5
3. 7.6.
Jecimals
r the course of 6 days, Tonda ran 17.22 miles. She ran the same
Clear
Undo
Redo
Answer:
potatoes
Step-by-step explanation:
Written as a rate, 96 miles in 12 hours would be ____ miles per hour.
Answer:
8 Miles per hour
Step-by-step explanation:
Answer:
8 miles per hour
Step-by-step explanation:
miles / hr = 96/12 = 8 miles per hr
hr / mile = 12/96 = 1/8 hr per mile <==
Which of the following numerators would appear in the numerator of the quadratic formula when solving the following equation? 2x 2 + 5x - 12 = 0
Explain why having low statistical power could be considered a limitation for a statistical tost
Answer:
Low statistical power could be considered a limitation in statistics because statistical power refers to the probability of correctly finding adequate support for a research hypothesis.
If a statistical test has low power, then it is limited in finding adequate support.
Dewayne has $20 dollars for the weekend. He spent 3/5 of his money at the movies and 1/3 of his money bowling. How
much money does he have left over after the weekend?
Factor out the coefficient of the variable term. The expression 1/7a + 1/7 factored is___
Answer:
17 and [a+1] is the factor
Step-by-step explanation:
Given:
1/7a + 1/7
Find:
Factor
Computation:
1/7a + 1/7
By taking 1/7 as a common
1/7[a+1]
So,
17 and [a+1] is the factor
The coefficient of the variable term in factored form is; 1
The given expression is;
(1/7)a + 1/7
Now, we want to factorize this and this means that we will bring out the common factor of both terms.
The common factor of both terms is 1/7. Thus, we have;
(1/7)(a + 1)
The variable term is a and as such we see that it's coefficient inside the bracket is 1.
Read more at; https://brainly.com/question/2764126
Lowest common multiple of 8 and 6
Answer:
answer is 24 hope this helps! :)
A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control
Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
If one root of the equation
Answer:
Where is the question...
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
O $1.26
O $5.40
O $19.26
O $30.60
Answer:
1
Step-by-step explanation:
1.26
By definition, two rays labeled Ab and AC must exist with which of the following conditions?
Answer:
A. The two rays form angle CAB.
C. The two rays make a line AC.
D. The two rays intersect at point A.
E. The two rays are perpendicular.
This is shown in figure 1 in the attachment provided.
Step-by-step explanation:
The given rays, [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] shows that both rays have a common endpoint A.
Therefore, the following conditions exists:
A. "The two rays form angle CAB."
Take a look at figure 1 in the attachment provided below. The two rays meet at point A to form angle CAB.
C. "The two rays make a line AC."
As shown in figure 2 in the attachment provided below, [[tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] have a common end point, A, and they extend in opposite directions to form a straight line AC. [tex] (\overline{AC}) [/tex]
D. "The two rays intersect at point A."
This is shown in figure 1 in the attachment provided.
E. "The two rays are perpendicular."
Since [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] intersect at point A, they are perpendicular to each other, forming a right angle at point A. This we can see in figure 2 provided in the attachment.
Who can help me with 9th grade math and got zoom?
Answer:
Me, I'm in 12th grade so sure. ^‿^
Step-by-step explanation:
What is the y intercept of the line graphed on the grid? (-6, -8) (2,-2)
Did this today on a test lol.
(0,-7/2)
i have a test and only have an hour please hurry!
90 / 3* (9 +6)=?
Answer:
450
Step-by-step explanation:
9+6= 15
90/3= 30
30*15=450
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation: