Answer:
The margin of error is [tex]E = 6.9 [/tex]
The 95% confidence interval is [tex] 26.5 < \mu < 40.3 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is [tex]\mu = 33.4 \ ng/ml[/tex]
The standard deviation is [tex]\sigma = 19.6 \ ng/ml[/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 normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{19.6 }{\sqrt{31 } }[/tex]
=> [tex]E = 6.9 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 33.4 - 6.9 < \mu < 33.4 + 6.9 [/tex]
=> [tex] 26.5 < \mu < 40.3 [/tex]
If a decimal is only in the ____, you can move it up into the quotient
Answer:
Divident
Step-by-step explanation:
HELP CALCULUS 25 POINTS
Answer:
A.) Max at x = 6 and Min at x = -6
Step-by-step explanation:
We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.
If the sum and product
of roots of a quadratic
equation are -7/2 and
5/2 respectively,then
the equation is :
Answer:
The equation is y = 2x² + 7x + 5
Step-by-step explanation:
In the quadratic equation y = ax² + bx + c
The roots of it are the values of x at y = 0The sum of the two roots = [tex]\frac{-b}{a}[/tex]The product of the two roots = [tex]\frac{c}{a}[/tex]∵ The sum of the roots is [tex]\frac{-7}{2}[/tex]
∵ The product of the roots is [tex]\frac{5}{2}[/tex]
→ By using the rules above
∴ [tex]\frac{-b}{a}[/tex] = [tex]\frac{-7}{2}[/tex]
∴ [tex]\frac{c}{a}[/tex] = [tex]\frac{5}{2}[/tex]
→ Compare between them
∴ a = 2
∴ -b = -7 ⇒ divide both sides by -1
∴ b = 7
∴ c = 5
∵ The form of the quadratic function is y = ax² + bx + c
→ Substitute the values of a, b, and c in it
∴ y = 2x² + 7x + 5
∴ The equation is y = 2x² + 7x + 5
please help!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
The rate of 225 mi in 7 hr written as a unit rate
Answer:
32.14 an hour
Step-by-step explanation:
Answer:
32.142857 miles per hour
Step-by-step explanation:
This is the answer because:
This is a fraction equal to
225 miles ÷ 7 hours
We want a unit rate where 1 is in the denominator, so we divide top and bottom by 7 .
225/7 = 225/7 and 7/7 = 32.142857/1
Therefore, the answer is 32.142857 miles per hour.
Hope this helps!
plz tell me 12 x 12 = and 12 x 13 =
Answer:
12 x 12 = 144, 12 x 13 = 156
Step-by-step explanation:
A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?
the value of the expression when t-32 degrees is what degrees
Complete Question:
The temperature doubled. Evaluate when t = 32 degrees.
The value of the expression when t = 32 degrees is degrees
Answer:
64 degrees
Step-by-step explanation:
Given
[tex]t = 32[/tex]
Required
Determine the value of t when it doubles
To do this, we simply multiply the current temperature by 2.
So:
[tex]t = 32[/tex] becomes
[tex]t = 32 * 2[/tex]
[tex]t = 64[/tex]
Hence, the temperature when it doubles is 64 degrees
2) Unit rate is the price, or quantity, or distance of many items
O True
O
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
It is is a ratio comparing quantities of different items with 1 in the denominator. Technically the price, quantity, or distance of one item.
Example
If Nancy buys 20 items for $180 dollars, what is the unit rate of the item's price
$180/20 = $9 per item (9/1)
alg 2 complex numbers in standard form! please help me :(
Answer:
B
Step-by-step explanation:
Refer to the picture that given
61 meters = _____ feet
I'LL GIVE BRAINLIEST!
Answer:
200.131234
Step-by-step explanation:
If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.
A.) $11,821.07
B.)$5,024
C.)$6,312.38
D.)$6,356.25
Answer: D
Step-by-step explanation: Use money chip calculator
Les had $32.00 when he went to the city Market to buy some fresh fruits and vegetables. When he left, he had $23.05. How much money did he spend on food?
Answer:
$8.95
Step-by-step explanation:
Answer For Brainliest
Answer:
the answer is D
Step-by-step explanation:
Solve.
1) A collection of dimes and quarters is worth S15.25. There are 103 coins in all.
How many of each is there?
2) A collection of half dollars and nickels is worth S13.40. There are 34 coins in
all. How many are there?
3) The attendance at a school concert was 578. Admission was S2.00 for adults
and S1.50 for children. The total receipts were S985.00. How many adults and
how many children attended?
4) A purse contains S3.90 made up of dimes and quarters. If there are 21 coins in
all, how many dimes and how many quarters were there?
5) A boy has S2.25 in nickels and dimes. If there are twice as many dimes as
nickels, how many of each kind has he?
Adam has joined a book club. The membership has an initial fee of $25.00 and each book rental costs $2.00. This table shows the linear relationship between the total cost, y, and the number of books Adam rents, x. Fill in each box to correctly model the relationship between x and y. Number of books rented, x 3 6 12 15 Total Cost, y $31.00 $ $43.00 $ $55.00
Answer:
Do you have a screenshot of the table? I’m struggling to visualise it with the data given.
Step-by-step explanation:
Answer:
$37.00 9 $49.00
Step-by-step explanation:
Guys I will mark brainliest if you get this right
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{7}{8} - \frac{2}{3}}{\frac{5}{6}}\\\frac{7}{8}=\frac{21}{24}\\\frac{2}{3}=\frac{16}{24}\\\frac{21}{24}-\frac{16}{24}=\frac{5}{24}\\\frac{5}{24}*\frac{6}{5}=\frac{1}{4}[/tex]
Quick answer please!!!! Brodie hires a technician to fix his air conditioning unit. The total cost includes $26.50 for parts and $50.00 per hour the technician works on the job. Which equation can be used to find y, the total cost Brodie pays, given x represents the number of hours the technician works on the job? y=26.50x−50 y = 26.50x + 50 y = 50x + 26.50 y=26.50(x+50)
Answer:
y = 50x + 26.50
Step-by-step explanation:
we put the x after 50 be cause we don't know how many hours he worked
then add 26.50 the cost of the parts.
Hoped this helped.
Answer:
C: y=50x+26.50
Step-by-step explanation:
I just took the test and i got it right!!! 100%
do i get brainlest
Last year Jeremy weighed 70 bounds this year he weights 84 pounds by what percent did Jeremy weights increase from last year to this year
there are 4 circles and 16 squares. What is the simplest ratio of circles to total shapes?
Jenny enjoys crocheting so she has decided to make and sell crocheted hats and crocheted scarves to make money for a trip she would like to take this coming summer. She is going to sell her scarves for $5 each and her hats for $10 each. In order to go on the trip, Jenny needs to make at least $200.
Answer:
Step-by-step explanation:
so the whole question is as follows
A school newspaper estimates that their academic team will win 25 out of 30 matches for the season. After 15 matches, they have won 12. If the team continues winning at this rate, what will be the percent error of the newspaper's estimate once the season is over? Round to the nearest percent
Answer:
4
Step-by-step explanation:
The percent error of the newspaper's estimate once the season is over will be 4%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A school newspaper estimates that their academic team will win 25 out of 30 matches for the season.
Then the percentage will be given as,
P = (25 / 30) x 100
P = 0.8333 x 10
P = 83.33%
After 15 matches, they won 12. Then the percentage will be given as,
P = (12 / 15) x 100
P = 0.80 x 100
P = 80%
If the team continues winning at this rate. Then the percent error of the newspaper's estimate once the season is over will be
P = [(83.33 - 80) / (83.33)] x 100
P = 0.04 x 100
P = 4%
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ5
ian's car can go 99 miles on 3 gallons of gas During a drive last weekend,Ian used 7 gallons of gas.How far did he drive?Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas He used. He drove____ miles.
Answer:
The answer would be 231 miles.
Step-by-step explanation:
This is because you have to make this into the most common ratio, which would be 1/33. To get to 7 gallons, you must multiply 33 by 7, because you multiplied 1 by 7.
What is the answer, I need one quick!
Answer:
13, 106 and 254
Step-by-step explanation:
If 4% of a number is 8, find 1% of that number.
How do I solve this problem?
Answer:
2
Step-by-step explanation:
First, find the number by dividing 8 by 0.04
8/0.04
= 200
Then, find 1% of 200 by multiplying it by 0.01:
200(0.01)
= 2
So, 1% of the number is 2.
Answer:
The answer is 2
Step-by-step explanation:
4%x5=20% and 8x5=40, 20%x5=100% and 40x5=200 and 1% means you move the decimal to the left twice so it is 2, my explanation might be wrong but I know my answer is correct:
)
PLS HELP ME I CANT DO IT AND JMBEING TIMED
Answer:
For A+B
a. 0.3+0.8 = 1.1
b. 1.2+1.4 = 2.6
c. 3.4 + 4.2 = 7.6
d. 2.25 + 2.95 = 5.20
For B-A
a. 0.8-0.3 = 0.5
b. 1.4-1.2 = 0.2
c. 4.2-3.4 = 1.2
d. 2.95-2.25 = .070
Which list shows the number in order from greatest to least? Help asap
Answer:
D
Step-by-step explanation:
0.21875 km is ___ % of 1750 m.
Answer:
12.5%
Step-by-step explanation:
0.21875km=218.75m
218.75m×100÷1750m=12.5%
A poll commissioned by Friends of the Earth and conducted by the Mellman Group found that 72% of American voters are in favor a carbon tax. Suppose that six voters in the United States are randomly sampled and asked whether they favor a carbon tax. Determine the probability that the number answering in the affirmative is a. Exactly four. b. At least two
Answer:
a
[tex]P(X = 4) = 0.31599[/tex]
b
[tex]P(X \ge 2) = 0.9921 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion in favor of carbon tax is [tex]p = 0.72[/tex]
The sample size is n = 6
Generally the distribution of poll follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability that the number answering in the affirmative is 4 is mathematically represented as
[tex]P(X = 4) = ^{6}C_4 * (0.72)^4 * (1- 0.72)^{6-4}[/tex]
=> [tex]P(X = 4) = 0.31599[/tex]
Generally the probability that the number answering in the affirmative is At least two is mathematically represented as
[tex]P(X \ge 2) = 1 - P( X < 2 ) [/tex]
[tex]P(X \ge 2) = 1- [ P(X = 0 ) + P( X = 1)] [/tex]
=> [tex]P(X \ge 2) = 1- [ [ 1 * 1 * 0.00048 ]+ [ 6 * 0.72 * 0.00172] [/tex]
=> [tex]P(X \ge 2) = 1- [ 0.00791 ] [/tex]
=> [tex]P(X \ge 2) = 0.9921 [/tex]
X⁴ - 2x³- 11x² + 30x - 20 entre x² + 3x - 2