Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).
In this problem, we have that:
Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.
Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.
Then:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]
The interval is (10.15, 12.45).
A similar problem is given at https://brainly.com/question/24232455
Plz hurry I really need the answer… like now
Answer:
2700 square feet
Step-by-step explanation:
5+4=9x300=2700
I don’t wanna fail if you know the answer pls tell me
Angle ABC measures 35 and angel BAC meausures 115
Answer:
a. 115 degrees
b. 35 degrees
c. 30 degrees
Step-by-step explanation:
How do i solve this?????
Answer:
Step-by-step explanation:
1.
15% of what number is 45?
Answer:
15% of 300 is 45
Answer:
300
Step-by-step explanation:
******Please help me please help me help please help*****
A.
B.
Answer:
The answer would be A
Step-by-step explanation:
If you were to divide 36 by 5 you would be finding how many calories are in 1/5 of a bar.
which reason could be used for statement 3??
Option 3, definition of congruent segments is the answer I'm pretty sure
eduardo took a survey to find out how many students in his school have a pet, there are 1,000 students in the school. 20% of them have a pet how many students in eduardo's school have a pet. help
Answer:
200
Step-by-step explanation:
dude ur in college how do you not know this?
Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.
Answer:
y = -0.1x^2
Step-by-step explanation:
Start out with vertex form
y = a(x - h)^2 + k
The vertex at the origin
Therefor (h, k) = (0, 0)
y = ax^2
use point (20, -40) to find a
-40 = a(20^2)
-40 = a(400)
Divide both sides by
400
-0.1 = a
Therefor
y = -0.1x^2
This is standard form with a = -.01 and both b and c equal to zero
what decimal is equivalent to 8 9/100
Answer:
8.09
Step-by-step explanation:
8.09 I think. I’m not positive but I think so.
A bank pays simple interest at the rate of 5% per annum on all deposits. Interest is credited to the account quarterly on March 31st, June 30th , September 30th and December 31st, based on the minimum quarterly balance for that period. If a person opens an account with a deposit of $ 40,000 on January 1st. They then make a withdrawal of $ 3,000 on 10th June. If there were no further transactions (deposits or withdrawals), how much interest will be credited to the account on December 31st.
what is the approximate length of segment PR?
25
11
125
18
Answer:
18
correct me if I'm wrong❌
help me guys I don't get this !!!
Answer:
-2.5, 0.75
Step-by-step explanation:
When we need to find a solution to a system of equations using a graphing tool, we graph those two equations and find the point of intersection.
This is an informative article on how to do that:
https://www.dummies.com/education/graphing-calculators/how-to-find-points-of-intersection-on-the-ti-84-plus/
please be super quick 3 minutessssss
Answer:
im pretty sure its B
Step-by-step explanation:
I THINK SOOO AHH
WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK
Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.
What is the correlation coefficient of the data?
−0.74
−0.48
0.93
0.98
Answer:
The answer is 0.93
Step-by-step explanation:
I took the test
Pa help po plis papasa na daw po bukas
Answer:
b
c
a
Step-by-step explanation:
if wrong sorry
and pls give brainliest
I keep getting D wrong
Answer:
The amount is $18548.38 and the interest is $2548.38
Steps for solution:
First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.
I have more questions then this
Answer:
maybe 3 option
Step-by-step explanation:
hope helpful
have a great day
A fair die is rolled 10 times, what is the probability to get 4 ones.
Answer:
7/128
Step-by-step explanation:
What can you multiply 2 to 10 by to get the ratio of 4 to 20
Answer:
multiply both by 2
Step-by-step explanation:
2 x 2 = 4
10 x 2 = 20
CAN Someone PLS HELP ME PLSSSSSSSSSSSS
Answer: where is the rest of the problem
Step-by-step explanation:
-$107.85
If the formula is D=M/V and we know D=2.70 and V=60 how to we solve for M?
Answer:
d=140
v=60
140.60=8400 its m
You can
apply the rules of exponents to the problem in BOTH radical form and rational exponent
form true or false
Answer:
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^½. In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.For the denominator, that deals with the radical. The index, to be exact. The index describes what kind of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3).^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Step-by-step explanation:
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Anyone can solve theses questions for me?
Answer:
4. Ty 5. Store A
Step-by-step explanation:
4. 750/3 is 250, 800/4 is 200, and 950/5 is 190 so i think it would be Ty
Andre Rick Ty
5. for Store A- 4 pairs of jeans is $120 so if you divide that which is 120/4 it gives you 30 so it would mean your paying $30 for each pair of jeans
for Store B- 2 pairs of jeans will cost you $100 so if you add 50+50 it gives you a hundred so it means your paying $50 for each pair of jeans
for Store C- 3 pairs of jeans is $99 so if you divide 99/3 its 33 which means you would be paying $33 dollars for each pair of jeans
so out of all of then Store A gives you the best deal.
Someone please please help!
Answer:
C.
Step-by-step explanation:
After the given, you need another pair of congruent angles to prove the triangles congruent by AAS. Those angles you need are vertical angles, so they are congruent.
Answer: C.
Solve: x^3+3x^2+4x=0
Answer:
x^3 + 3x^2 + 4x = 0
0^3 + 3(0)^2 + 4(0) = 0
Step-by-step explanation:
x = 0
Find the length of the shorter leg of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.
Step-by-step explanation:
of a right triangle if the longer leg is 11 feet more than the shorter leg and the hypotenuse is 11 feet less than twice the shorter leg.
HII i really need help
Answer:
when in doubt choose c
Step-by-step explanation:
Answer: 11/48 cubic feet
Step-by-step explanation:
alright ill try my best to explain
so you use the formula V = 22/21r^2h
where V is volume
r is radius
and h is height of cone
you simply plug in the values given in the question, so
V=22/21*1/2^2*7/8
so the answer would be 11/48 cubic feet
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
nothing yw listen to your teacher
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answer:
times by 2 because it keeps going up by times 2 the number of blocks
9514 1404 393
Answer:
5th: 32
6th: 64
The number doubles at each step.
Step-by-step explanation:
Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.
It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...
2, 4, 8, 16
1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence
ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2
We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.
The blocks in the 5th step will be 2^5 = 32.
The blocks in the 6th step will be 2^6 = 64.
_____
Additional comment
It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.
