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
A right triangle is shown below.
45°
3 units
What is the tan of x?
Answer:
Tan x = 1
Step-by-step explanation:
As a tangent of 90° is impossible, x must be the measure of both of the 45° angles.
If we assume 3 is the length of one of the shorter legs, it is also the length of the other of the shorter leg
Tangent x = Opposite/Adjacent = 3/3 = 1
Mr. Nasser asks four of his students to measure four different objects. Here are the results.
Which student had the greatest percent error?
Step-by-step explanation:
Answer:
Emiko has the greatest percent error
Step-by-step explanation:
The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.
D
C
Out of every five students at a school,
there are two who take art as an elective.
h
С
If sixty students are taking art, how many
students attend the school?
Answer:
210
Step-by-step explanation:
210 students attend the school. if 60 students are taking art, and there are 2 art students in every 7 students, that means there are 30 groups of 7 because 30×2=60 so since the other 5 do not take art, you would multiply 30×5 and get 150. Then you would add 60 and you would get 210
Solve the inequality x2−3x−18≥0
I finally was able to answer
Step-by-step explanation:
2x-3x-18≥0
2x-3x≥18
factorise
x(2-3)≥18
x≥[tex]\frac{18}{(2-3)}[/tex]
I hope this helped but i've done this in the way my tutor taught me :)
need an answer, please need an answer, please.
Answer:
Step-by-step explanation:
1) c
x² = 1
x² - 1 = 0
Degree of quadratic equation should be 2.
2) 'a'- coefficient of x² cannot be 0
option a
3) option c
Standard form: ax² + bx +c = 0
4) c = 5
3x² + 8x = -5
3x² + 8x + 5 = 0
option c
5) b= 0
option a
A motorboat takes 4 hours to travel 192 kilometers going upstream.
The return trip takes 3 hours going downstream.
- What is the rate of the boat in still water?
- What is the rate of the current?
Answer:
Step-by-step explanation:
let b be boat velocity
let c be current velocity
(b - c)4 = 192
(b + c)3 = 192
(b - c)4 = (b + c)3
4b - 4c = 3b + 3c
b = 7c
(7c - c)4 = 192
(6c)4 = 192
24c = 192
c = 8 km/hr
b = 7(8) = 56 km/hr
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Where's The Answer Im Sorry I Didn't See Anything....m
In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the interest rate get doubled and is now 0.004%. After, the 10th year it goes back to the original interest rate of 0.002% annually. If I check the amount I know have in total included my principal of $20.00, in the year of 2021. What would the total amount be of putting it there
9514 1404 393
Answer:
$20.01
Step-by-step explanation:
In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...
(1.00002^17)(1.00004^1) = 1.00038006801
Then the account balance is ...
$20 × 1.00038006801 ≈ $20.01
_____
Additional comment
The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.
You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.
Answer:
70
Step-by-step explanation:
Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).
When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:
⇒ Vertex D(-2, 2) becomes D'(-2, -2),
⇒ Vertex E(1, 5) becomes E'(-5, 1),
⇒ Vertex F(4, -1) becomes F'(1, 4),
This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.
Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).
Learn more about Rotation here
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Which equation applies the associative property of multiplication?
A. (-1\4 - 5\3) - 3\5 = -1\4 - (5\3 - 3\5)
B. -5\12 times (6\5 times 1\3) times 9\2 = (-5\12 times 6\5) times (1\3 times 9\2)
C. -6\7 times 8\11 times 1\3 = 8\11 times (-6\7) times 1\3
D. (-7\8 times 2\5) + ( 7\8 times 3\5) = -7\8 times (2\5 + 3\5)
Answer:
(a) is correct answer but it is w.r.t addition
not multiplycation.
Step-by-step explanation:
may it will help you.
mark me brainlist plz.
Graph the line whose x-intercept is -5 and whose y-intercept is -9.
Here is how you're line should look!
Which values of a, b, and c represent the answer in simplest form?
7/9 * 4/9 = a b/c
Answer:
Option 2: A=1, B=3, C=4
Step-by-step explanation:
7/9÷4/9 = 7/9*9/4cancel 9 on each side=7/4= 1 3/4solve pls brainliest
Step-by-step explanation:
a))) -31-71=-102
b)-9+14=+5
Hi there!
»»————- ★ ————-««
I believe your answer is:
A. - 31 - 71 = - 102
B. - 9 + 14 = 5
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.
B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Jenna buys an item with a normal price of $70, and uses a 40% off coupon.
Answer:
Jenna paid $42.00
Step-by-step explanation:
$70-40%=28.00
70-28=42
If the formula is D=M/V and we know D=2.70 and V=60 how to we solve for M?
Answer:
d=140
v=60
140.60=8400 its m
after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?
Answer:
9000
Step-by-step explanation:
The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?
Answer: This can be written as x + (x-9) + 3(x-9) = 99
5x - 36 = 99
5x = 135
x = 135/5 = 27
You can now just plug in the value of x for each of the initial terms to get:
n1 = 27
n2 = 18
n3 = 54
Step-by-step explanation:
If k = -5 find the value of -7k? Please explain step by step or show work on piece of paper to get marked.
Answer:
35
Step-by-step explanation:
Given k=-5
Substitute into the equation given
-7(-5) = 35
HELPPPPPPPPPPPPPPPppppppppppppp
The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7
Answers are: A, B, C and E
PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPPING EIGTH GRADE NOT COLLEGE!!!
Answer:
1. 4.05 x 10^-4
2. 49,345,000
3. 2.357897 × 10^9
Pleaw hurry i nedd the answer
The function g(x) is a transformation of the cube root parent function, f(x) = 3vx
What function is g(x)?
Answer:
C. g(x)=3√x+4+3
Step-by-step explanation:
g(x) shift left 4, shift up 3, with no compression or stretch.
a=1
h=-4
k=3
The function f(x) after the transformation can be written as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
What is function?A function is a relation between a dependent and independent variable. We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that function g(x) is a transformation of the cube root parent function f(x) = [tex]$\sqrt[3]{x}[/tex].
The function f(x) is shifted up by three units and left by 4 units. So, we can write the rule for the function transformation as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
Therefore, the function f(x) after the transformation can be written as -
g(x) = [tex]$\sqrt[3]{x-4} +3[/tex]
To solve more questions on functions, visit the link below-
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math
what at is -4/5 divided by 5/6
Answer:
-24/25
Step-by-step explanation:
-4/5 ÷ 5/6
To divide fractions, use KFC:
Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×-4/5 ÷ 5/6 would become -4/5 × 6/5 which is -24/25
Hope this helps!
Answer:
-24/25
Step-by-step explanation:
First you keep the first fraction and then you change the division sign to multiplication, then change the second fraction
4/5 time 6/5 and you can’t simplify so -24/25 is your answer.
please help with solving
:) Answer fast if you can
Answer:
The answer is B
Step-by-step explanation:
Hope it helps
Solve x/2- 8 = y for x. A. x= 1/2y
Answer:
x = 2y + 16Step-by-step explanation:
Given equation:
x/2 - 8 = ySolve for x:
x/2 = y + 8 ⇒ add 8 to both sidesx = 2y + 16 ⇒ multiple both sides by 2____________
[tex] \: [/tex]
[tex] \frac{x}{2 - 8} = y[/tex]
[tex] \frac{x}{2} = y + 8[/tex]
[tex]x = \bold{2y + 16}[/tex]
How many solutions does this equation have?
–7c = –7c + 3
Answer:
0
Step-by-step explanation:
If you move like terms to one side you'll get
-7c + 7c = 3
0c =3
0 = 3
cannot be true, so there are zero solutions
What’s the greatest common factor of (280, 168)
Answer:
Greatest common factor of 280 and 168 is 56
-NULL
Brainliest will be appreciated thank you!
If there are 6 $5 bills how many 10$bills are there?
Answer:
3
Step-by-step explanation:
6*5=30
30/10=3
Answer:
3
Step-by-step explanation:
6 * 5 = 30
Then, 30 / 10 = 3