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
simplify the expression -2x(x+3) A: -x -6 B: -x + 6 C: -2x + 6 D: -2x - 6
Answer:
D
Step-by-step explanation:
-2x(x+3)
-2x-6
Pablo mixes 3 units white paint and 1 unit black paint to make gray paint
Answer:
Whats the Question?
Step-by-step explanation:
Find the value of a
1)3a=9
2)5a=20
3)7a=28
Find the value of p
4)p/2=5
5)p/5=4
6)p/9=6
Answer:
Please do every single answer by transposition method..
Step-by-step explanation:
1) 3a=9
=a=9/3
=3
2) 5a=20
=a=20/5
=4
3) 7a=28
=a=28/7
= 4
4) p/2=5
=p=5×2
10
5) p/5=4
=p=4×5
=20
6) p/9=6
=p=6×9
=54
Choose all options that apply. In the US Customary System, which of the following terms is used to measure volume? a) Cup b) Tablespoon c) Liter d) Fluid ounce
Answer:
D) Fluid ounce
Step-by-step explanation:
Fluid ounces are a unit used to measure volume, or how much space something takes up. This measurement is used for liquid ingredients, like water or milk. When a recipe calls for fluid ounces, go ahead and pull out your measuring cup; it's the most accurate way to measure this.
I hope this helps, and stay safe!! :)Answer:
A and D because yeah its right
If < A and < B are supplementary angles, m (
Answer:
m<A + m<B = 180 degrees = 2pi radians
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
solve pls brainliest
Answer:
17.8 is the answer
Step-by-step explanation:
89/5 (the improper fraction of 17 4/5) divided is 17.8
Answer:
first method :
⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)
17 + 0.8 = 17.8
(this is the easiest method of doing this)
second method :
(17 × 5 + 4)/5
= 89/5
and dividing this u get 17.8
(but this is a lengthy method, as it will take time to devide)
Step-by-step explanation:
brainliest plz
2/3 divided by 3/4 simplified
what is the mean of 22, 24, 28, 19, 27
Answer:
Mean = 24
Step-by-step explanation:
Mean = (Sum of Terms) ÷ (Total numbers of Terms)
Mean = (22 + 24 + 28 + 19 + 27) ÷ 5
Mean = 120 ÷ 5
Mean = 24
Please help me asappp
Dave determines the meal he ordered at the restaurant contains 29% of his daily
sodium intake. If the meal contains 251 mg of sodium, how many mg of sodium are in
Dave's daily diet?
If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?
Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
Also need help with this question 4 x −5 =
Answer:
the equation is not completed
Answer:
-20
Step-by-step explanation:
Multiply 4x5 which is 20 but since 5 is negative then it's -20
Hola qué tal con todos me podrían ayudar porfavor pero rapidito plis porfavor
Solve for in terms of A and w. A=w
Answer:
Step-by-step explanation:
Given A = w:
w in terms of A is w = A, and
A in terms of w is A = w
x+2y-z=5
-X-y+2z=-13
2x+y-2z=14
Answer:
[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]
Find the rate of change demonstrated in the graph below.
The rate of change of a graph, is the slope of the graph.
The rate of change of the graph is 4.5
The points on the graph are:
[tex]\mathbf{(x,y) = (2,9) (4,18)}[/tex]
So, the slope (m) is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
This gives
[tex]\mathbf{m = \frac{18 - 9}{4-2}}[/tex]
[tex]\mathbf{m = \frac{9}{2}}[/tex]
[tex]\mathbf{m = 4.5}[/tex]
Hence, the rate of change of the graph is 4.5
Read more about rates at:
https://brainly.com/question/12786410
There is an equation that has a slope of 3 and it crosses the y-axis at (0, -1).
What is the equation of this line?
Answer: y = 3x - 1
Step-by-step explanation:
y = 3x + c
-1 = 3(0) + c
-1 = 0 + c
-1 - 0 = c
-1 = c
y = 3x - 1
Suppose there is a 1.2 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 57.8, what will be the temperature when the plane reaches an altitude of 7000?
Answer:
ysgsvdbdbdjdnd dndjdnd
PLEASE HELP ME SO I CAN GRADUATE!!!!!
What is the y-intercept of the line passing through the point (4,-5) with a
-2
slope of ?
A.
41
9
O
B.
O
O
D.
49
9
Answer:
A: -41/9
Step-by-step explanation:
Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.
-5 = -1/9(4) + b
-5 = -4/9 + b
Solve for b:
b = -41/9
Our equation: y = -1/9(x) - 41/9
Plz help me fast urgent thank you :) 20 points
Answer:
C
Step-by-step explanation:
2 times 7 is 14 highest dollar per hour rate
Answer:
Point C
Step-by-step explanation:
In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:
A) $3.00 × 2 tacos demanded = $6
B) $2.50 × 4 tacos demanded = $10
C) $2.00 × 7 tacos demanded = $14
D) $1.50 × 8 tacos demanded = $12
E) $1.00 × 12 tacos demanded = $12
Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.
Therefore, the price point that providees the most return is $2.
Select the correct answer from each drop-down menu.
The slope of line p is___
and the slope of line q is ____
Slope is rise/run which is how I found the slopes.
Slope for line q is -3 and for line p it is 3.
Hope this helps !!
Paul is shopping for laundry detergent. At the grocery store, the liquid detergent is pricedat $14.99 for 64 loads of laundry and the same brand of powder detergent is priced at$15.99 for 80 loads. Which is the better buy, the liquid or the powder detergent?
Answer:
15.99 is better
Step-by-step explanation:
because when working with dividing decimals we need to make it a whole number so we would move it over to the right till it is a whole number (which is two spaces) but first we need to put our decimal in our quotient so two spots. and 1499 divided by 64 equals 23.421875 and 1599 divided by 80 equals 19.9875 so the 15.99 dollar one is a better deal.
The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle
Answer:
h = 5√3
Step-by-step explanation:
h = (√3/2)a
h = 10
h = (√3/2)10
h = 5√3
what is a Scalene triangle?
Answer:
A triangle that has no equal sides is a scalene triangle.
Two dice are rolled. Determine the probability of the following. ("Doubles" means both dice show the same number.)
rolling a 4 or doubles
Answer:
The answer is 2/9
Step-by-step explanation:
I got it right on the test
The last number is 110
Answer:
70°
Step-by-step explanation:
90 + 20 + x = 180
110 + x = 180
x = 180 - 110
x = 70°
Answer:
60 degrees
Step-by-step explanation:
The angles are 30 and 90 degrees ( i think it was 30 degrees it wasn't a clear picture. )
A triangle it 180 degrees in total.
SO if we add 30 and 90
30 + 90 = 120
We'll get 120.
We then suptract 120 from 180
180 - 120 = 60
So the degree of x will be 60 degrees.
120 + 60 = 180
8. If a vehicle is moving at a constant speed of 60 miles per hour, how many
miles will it travel in 1 hour and 20 minutes?
(A) 60
(B) 65
(C) 80
orden des
(D) 90
e are !
105 area o
Answer:
C. 80 miles.
Step-by-step explanation:
20 minutes is 1/3 of an hour so it travels 60 * 1/3 = 20 miles in 20 minutes.
A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?
Answer:
volume = height × length ×width
volume =18×14×2
volume =504ft³
Step-by-step explanation:
answer 504ft3
Find the coordinates of point) along the directed segment AB that partitions it so that the ratio of AP to PB is 1:2. NO LINKS OR ASSESSMENT!!!!
Answer: (1, 3)
Step-by-step explanation:
There are two ways to solve this problem, 1 without the pythagorean theorem, and 1 with it. For the sake of simplicity, I will solve it without the pythagorean theorem.
As is visually evident from the graph, the line segment spans 6 units horizontally, and 3 units vertically. Because the ratio between AP and PB is 1:2, simply divide both the domain and range by 3, to get 2 horizontally, and 1 vertically.
Then, simply go to point A and respectively add and subtract the horizontal and vertical values to get point A(-1, 4) --> P(1,3)
Hope it helps, and let me know if you want me to solve it an alternate way or go more in depth as to the way it is know.
Answer:
P(1, 3)Step-by-step explanation:
Coordinates of A and B:
A(-1, 4), B(5, 1)The partition ratio:
AP/PB = 1/2Coordinates of P are:
x = -1 + 1/3(5 - (-1)) = -1 + 6/3 = 1y = 4 + 1/3(1 - 4) = 4 - 3/3 = 3