Answer:
The 95% confidence interval is
[tex] 5.92 < \mu < 7.284 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 6.5 6.7 7.2 6.4 7.3
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x }{n}[/tex]
=> [tex]\= x = \frac{ 5.5 + 6.5 + \cdot 7.3 }{ 6}[/tex]
=> [tex]\= x = 6.6[/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{ (5.5 - 6.6 )^2 +(6.5 - 6.6 )^2 + \cdot + (7.3 - 6.6 )^2 }{ 6-1} }[/tex]
=> [tex]\sigma = 0.6512[/tex]
Gnerally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 6 -1[/tex]
=> [tex]df = 5[/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 [tex]\frac{\alpha }{2}[/tex] is
[tex]t_{\frac{\alpha }{2} , 5 } = 2.571 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2}, 5 } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.571 * \frac{0.6512}{\sqrt{6} }[/tex]
=> [tex]E = 0.6835 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
=> [tex]6.6 - 0.6835 < \mu < 6.6 + 0.6835[/tex]
=> [tex] 5.92 < \mu < 7.284 [/tex]
Will give brainliest if correct!
If y + 1= 2015, for what positive integer w will 2y^2 + 2y = 2015w?
Answer:
w = 4028
Step-by-step explanation:
Solve for y
[tex]y+1 = 2015[/tex]
[tex]y=2014[/tex]
Substitute 2014 for y then solve for w
[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]
[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]
[tex]w=4028[/tex]
Therefore, w must be 4028
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
Answer:
$3.50 for 1 book
Step-by-step explanation:
$21/6 = $7/2 = $3.50
Answer: $3.50 for 1 book
Find the number of possible outcomes for the subway. Five breads, 4 meats, 4 cheeses, toasted or not toasted *
Answer:
Whole Wheat bread, meatball marinara, toasted bread, lettuce, and parmesan
Step-by-step explanation:
PLZ HELP I WILL GIVE BRAINLIST
Answer:
I'm sorry
Step-by-step explanation:
Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of money she has on her card, y dollars, is a function of the number of times she orders a meal from the cafeteria, x. How many meals has Katie ordered from the cafeteria if she has $70.50 left on her card?
Answer:
i think it's 11 meals have been ordered
-2(m+1) = 10, whats m?
-2(m+1) = 10
-2m+-2 = 10
-2m = 12
-m = 6
Answer: m = -6
Terri spent $4.75 on candy,
$1 on soda, and $8.20 on a
ticket. If Terri paid with a
$20 bill, how much money
did she have left
Answer:
Step-by-step explanation:
$4.75+1+$8.20= $13.95
$20.00 - $13.95 = $6.05
Answer:
$6.05
Step-by-step explanation:
candy - $4.75
soda - $1
ticket - $8.20
4.75 + 1 + 8.20
$13.95
bill - $20
20 - 13.95
$6.05
Garrett needs 3 gallons of fruit juice to make punch.
He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.
Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.
Answer:
3 of each gallon
Step-by-step explanation:
It worked for me on ttm
Answer:
4 of 1/3 and 1 of 1/6
Step-by-step explanation:
5/6+2/3=9/6
9/6+4/3=17/6
17/6+1/6=18/6
18/6=3
Write the slope-intercept form of the equation
59 is the sum of 9 and raj’s score
Answer:
33
helpStep-by-step explanation:
I’ll give brainlest I don’t know the answer:/ someone help bruh
Answer:
(4,2)
Step-by-step explanation:
its where the point intersects which is (4,2)
Can someone help me
Answer: its
12 4
_
7
Step-by-step explanation:
Answer:
12 4/7
Step-by-step explanation:
5 1/7 + 7 3/7 =
= 5 + 1/7 + 7 + 3/7
= 5 + 7 + 1/7 + 3/7
= 12 4/7
Answer: 12 4/7
Pls Help! Will mark brainliest!!!! 20 Points!!!!!
Answer:
I think x = 4
Step-by-step explanation:
x3 + -2x2 + -8x = 0
Reorder the terms:
-8x + -2x2 + x3 = 0
Solving
-8x + -2x2 + x3 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + -2x + x2) = 0
Factor a trinomial.
x((-2 + -1x)(4 + -1x)) = 0
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:
Simplifying
-2 + -1x = 0
Solving
-2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2
Combine like terms: 0 + 2 = 2
-1x = 2
Divide each side by '-1'.
x = -2
Simplifying
x = -2
Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Find the 12th term of the geometric sequence 4,8,16?
Step-by-step explanation:
From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.
The solution is attached below. The answer is 8192
The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric progression be represented as A
Now , the value of A is given by
A = 4 , 8 , 16 , ..
Now , the geometric progression is given by the formula
aₙ = arⁿ⁻¹
where aₙ is the nth term of the sequence
a is the first term
r is the common ratio
n is the number of terms
Now , the common ratio r can be found out by
Common ratio r = second term / first term
Substituting the values in the equation , we get
Common ratio r = 8 / 4
Common ratio r = 2
Now , substituting the value in the equation , we get
The 12th term of the geometric progression is
a₁₂ = arⁿ⁻¹
The value of a₁₂ = 4 ( 2 ) ¹²⁻¹
The value of a₁₂ = 4 ( 2 )¹¹
The value of a₁₂ = 4 x 2048
The value of a₁₂ = 8192
Therefore , the value of a₁₂ is 8192
Hence , The 12th term of the geometric progression 4 , 8 , 16 .. is a₁₂ = 8192
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ2
Carrie and nine of her friends go out to dinner. The total bill comes to $191.10. They decide to (I leave a 15% tip. Each person will contribute an equal amount to the total tip. Estimate what each person should contribute.
$19.00
$28.50
$1.90
$2.85
Answer:
$2.85 per person
Step-by-step explanation:
$191.10 * 0.15 = $28.665 tip
total tip divide by 10 people
$28.665/10 = $2.85
Each person has to contribute $2.85 amount for the tip.
Given,
Total no. of person go out for dinner = carrie + her nine friends
= 1+9 = 10
Amount of the bill is = $191.10
Amount of tip is = 15% of the bill
= [tex]\frac{15 }{100}[/tex] × $ 191.10
= 28.665
Total amount each person contribute an equal amount for tip is = [tex]\frac{28.665}{10}[/tex]
=$ 2.85
Each person contribute $2.85 amount for the tip.
For more information about ratio and proportion click the link given below.
https://brainly.com/question/25561616?referrer=searchResults
Marc wants to know if the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. Ata significance level of 0.05, what is his conclusion?
Answer:
gsgsbsbsbs
Step-by-step explanation:
yewhsgshdhhssjbs
Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink would cost just over $2.00. Is she correct, and how do you know? If she is not, how would Devon’s sister find the correct unit price?
Answer:
Step-by-step explanation:
Devon's sister is incorrect.
Note 6 drinks thats cost $2.99
2.99 divided by 6 is $0.50
Thus each drink is approx. $0.50
She would find it if she divided total number of drinks by the total price
ez pls help i will give extra points
Answer:
25.4
Step-by-step explanation:
1/3 ( 2.55+.75) +3* 8.1
Using pemdas, parentheses first
1/3 ( 3.3) +3* 8.1
Then multiply
1.1 + 24.3
Then add
25.4
In 2011, the population of Mali was about 1.584 x 107 people. What is this number written in standard
notation?
urgent NEED DONE NOW PLEASE
Which of the following are proportional A.4/9=8/13 B.4/9=11/16 C.4/9=8/18 D.4/9= 9/9
Answer:
C. 4/9 = 8/18
Step-by-step explanation:
Solve each inequality. I need help please.
Answer:
n [tex]\geq[/tex] -28
Step-by-step explanation:
Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.
Use the relashonships between the angles to find the value of x
Answer: and I oop skssss
Step-by-step explanation:
Any help please I appreciate it if u lend a helping hand plzzzzz
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What is the quotient of 3 /7 +
4/8
using reciprocal express your answer in lowest term
Answer: 6/7
Step-by-step explanation: So 3/7 divided by 4/8. You can simplify 4/8 to 1/2. So then it would be 3/7 times 2/1. The answer would be 6/7
Jordan hiked to the top of a mountain. He started the hike at 8:30 A.M. It took 2 hours and 15 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Jordan finished the hike?
Please help me fast!!!!
Answer:
12:15 PM
Step-by-step explanation:
Find the 12th term in the following arithmetic sequence
start at -3.5 and then add to that 4.2. As if you were walking from -3.5 on the number line up 4.2 steps to the right. Where would you land?
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?
Solution :
According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.
Now this is considered as a joint event. This is because the above statement consists of two events.
1. Video games are sold in the United States.
2. Women purchased video games.
The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.