Answer:
The 4 answers are given below:
0.1cm, 0.1 probability, 0.25 probability, 1.095cm
Step-by-step explanation:
QUESTION HEAD: At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1cm and standard deviation of 0.1cm. A random sample of 12 computer chips is taken.
(A) What is the standard error for the sample mean?
(B) What is the probability that the sample mean will be between 0.99 and 1.01cm?
(C) What is the probability that the sample mean will be below 0.95cm?
(D) Above what value do 2.5% of the sample means fall?
ANSWERS:
(A) The standard error for the sample mean is 0.1cm
(B) [0.99, 1.01]cm?
The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]
0.99 - 0.9 = 0.09
1.1 - 1.01 = 0.09
0.09 + 0.09 = 0.18
1.1 - 0.9 = 0.2
0.2 - 0.18 = 0.02 This is the fraction of 0.2 that the length bracket in the question occupies. So 0.02/0.2 = 0.1
Hence the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 (which translates to a 10% probability/chance)
(C) The probability that the sample mean will be below 0.95 is:
0.95 - 0.9 = 0.05
0.05/0.2 = 0.25 (which translates to a 25% chance of occurrence)
(D) Above what value do 2.5% of the sample means fall?
Here, you're looking for the value of the mean which serves as the lower limit for the top 2.5% of sample mean values.
2.5% of 0.2 = 0.025 × 0.2 = 0.005
Subtract this from the highest possible mean value:
1.1 - 0.005 = 1.095
So, above 1.095 is where 2.5% of the sample means fall
The standard error for the sample mean is 0.1cm
Part (B):The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]
0.99 - 0.9 = 0.09 1.1 - 1.01 = 0.09 0.09 + 0.09 = 0.18 1.1 - 0.9 = 0.2 0.2 - 0.18 = 0.02 0.02/0.2 = 0.1Thus, the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 .
Part (C) :The probability that the sample mean will be below 0.95 is:
0.95 - 0.9 = 0.05 0.05/0.2 = 0.25Thus,the probability that the sample mean will be below 0.95 cm is 0.25.
Part (D) :The value do 2.5% of the sample means fall in :
2.5% of 0.2 = 0.025 × 0.2 2.5% of 0.2= 0.005Subtract this from the highest possible mean value:
1.1 - 0.005 = 1.095Thus, the value of 2.5% of the sample means falls in 1.095.
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which of the following is a solution to the inequality 4x-5y<10
Answer:what is the following
Step-by-step explanation:
Graph this compound inequality: x 9.8
HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°
A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents for a red card that is neither an ace nor a king. If the cost of each draw is 10 cents, what is the expected value?
Answer:
The expected game value is -1 cent
Step-by-step explanation:
Here, we want to calculate the expected value of the game
We have 4 aces and 4 kings, including 26 red cards
The number of aces is 4
Probability of drawing an ace is 4/52 = 1/13
Probability of drawing a king is also 4/52 = 1/13
There are 26 red cards
The number of red cards that are neither ace nor king
There are 2 red aces and 2 red kings
So the number of cards that are red but are not
aces nor kings are 26-2-2 = 22
The probability of selecting this is 22/52 = 11/26
So the expected value is simply the probability multiplied by the amount
Thus, we have;
(60 * 1/13) + (30 * 1/13) + (5 * 11/26)
= 60/13 + 30/13 + 55/26
= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents
we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent
1.45
--
Decimal as fraction
Answer:
1.45 as a fraction is 29/20
Step-by-step explanation:
Need answer quickly!
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answer:
2
Step-by-step explanation:
f(x) = 2x^2 + 6x – 4
g(x) = 5x^3 – 6x^2-3
Find (f +g)(x).
Answer:
5x^3 - 4x^2 + 6x - 7Step-by-step explanation:
Given
f(x) = 2x^2 + 6x – 4 g(x) = 5x^3 – 6x^2-3To find
(f +g)(x)Solution
(f +g)(x) = f(x) + g(x) =2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3 =5x^3 - 4x^2 + 6x - 73. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points
207 x 103
°
2.07 x 10-2
Option 1
O Option 2
207 x 10-3
2.07 x 10-3
Esme read 12 pages from her science book last night and it took her 18 minutes how long would it take her to read tonight's homework which is 22 pages long
Answer:
33 minutes
Step-by-step explanation:
It would tale her 1.5 min for each page
4x + 16y = -19
-2x - 8y = 10
Answer:
No solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x + 16y = -19
-2x - 8y = 10
Step 2: Rewrite systems
-2x - 8y = 10
Add 8y to both sides: -2x = 8y + 10Divide -2 on both sides: x = -4y - 5Step 3: Redefine systems
4x + 16y = -19
x = -4y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-4y - 5) + 16y = -19Distribute 4: -16y - 20 + 16y = -19Combine like terms: -20 ≠ -19Here we see that -20 does not equal -19.
∴ This systems of equations has no solution
Step 5: Graph
Check the systems.
Hard to see, but they are parallel lines.
D
G
M
C
B В
K
Which points in the graph are in Quadrant II?
A) E, F, H, N
B) A, L
OC) A, L, D, F
Answer:
A) E, F, H, N
Step-by-step explanation:
I think so......
please help me with math
please help!! this is due at 3 i don’t know how to do this one
Answer: y = 1/3x + 2
Step-by-step explanation:
You basically use the rise over run method and see the slope increases by 1/3 ( it comes up one and goes right 3 ) and it starts at 2
Given that
5x:9=7:3
Calculate the value of
x
Answer:
x = 4.2Step-by-step explanation:
Given 5x:9=7:3 To findThe value of xSolution5x:9=7:3 5x = 7*9/35x = 7*35x = 21x = 21/5x = 4.2Answer:
4.2
Step-by-step explanation:
5x:9=7:3
5x/9=7/3
5X×3=7×9
15x=63
X=63/15
X=4.2
So the value of the X is 4.2
Given that, 1 Chinese yuan = £0.13, convert £314 into Chinese yuan. Give
your answer to the nearest yuan.
Chinese yuan
Answer:
2415 Chinese yuan (rounded off to nearest yuan)
Step-by-step explanation:
£0.13 = 1 Chinese yuan
£314 = [tex]\frac{314}{0.13}[/tex]×1 Chinese yuan
= 2415 Chinese yuan (rounded off to nearest yuan)
Two parallel lines, a and b, are cut by transversal p. What is the
measure of Zx?
11
10
65°
P
A 65
75
105
D 115
The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Let the interior alternate angle to 65° be y.
Now, y=65° (Alternate interior angles are equal)
Here, y°+x°=180° (Adjacent angles)
65°+x°=180°
x°=115°
Therefore, option D is the correct answer.
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What is 0.0033 in scientific notation?
Answer:
[tex]=3.3*10^{-3}[/tex]
Can someone help please
Answer:
BCEDAI hope this helps!
y=- 4
A slope: 0; y-intercept: -4
B slope: undefined; y-intercept: none
C slope: 1; y-intercept:-4
D slope: -4; y-intercept: -4
Answer:
A
Step-by-step explanation:
The slope is 0 and the y-intercept is -4 because that is where the graph crosses the y-intercept :)
An element with a mass of 650 grams decays by 13.2% per minute. To the nearest minute, how long will it be until there are 220 grams of the element remaining?
Answer: 8
Step-by-step explanation:
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
Calculation of the time taken:Since An element with a mass of 650 grams decays by 13.2% per minute. and there is 220 grams of the element remaining.
So, the mass decays be
= 650 - 220
= 430
Now the total percentage be like
[tex]= 430 \div 650[/tex]
= 66.15%
Now the time taken should be
= [tex]66.15\div 13.2[/tex]
= 5 minutes
The time taken where there is 220 grams of the element remaining should be considered as the 5 minutes.
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Helpppppp I don’t get it
Answer:
-3y + 2x - 4
Step-by-step explanation:
Answer:
-3y - 4 + 2x
Step-by-step explanation:
when it says combine like terms, it means combine the terms that have the same variable
-7y, -2y, and 6y all have the same variable: y
so when you combine them, you get -3y (notice that the variable doesn't change, only the number in front of it does)
-2 and -2 are like terms, they don't have a variable
when you combine them, you get -4
-4x and 6x are like terms, their common variable is x
when you combine these, you get 2x
now put your answers together to get -3y - 4 + 2x
At the start of the month, the value of an investment was $53.92. By the end of the month, the value of the investment changed by a loss of $17.40. What was the value, in dollars, of the investment at the end of the month
Answer:
$36.52
you're welcome :)
How do you divide decimals 10.305 divided by2.5?
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[tex]10.305 \div 2.5 = [/tex]
[tex]10.305 \div \frac{10}{4} = \\ [/tex]
[tex]10.305 \times \frac{4}{10} = \\ [/tex]
[tex] \frac{10.305 \times 4}{10} = \\ [/tex]
[tex] \frac{41.220}{10} = \\ [/tex]
[tex]4.1220[/tex]
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Easy 6th grade question for 25 points.
Reed uses 8 pieces of glass per square foot to make a stained glass window.
How many pieces of glass will he need to make a window that is 864 square inches?
Answer:
Answer is 576. divide 864 by 12 because 12 inches is a foot and then you'll get 72 and then you multiple that by 8.
Find the quotient: (27^x+3)/(9^x+2)
Answer:
Mutiply each bracket together and then separate the terms with x
Suppose the y-intercept of a line is - 7 and the slope of the line is
-4/3
Which statement is true about the line?
A)The line falls from left to right.
B)The y-intercept is at (-7,0)
C)The equation of the line is y= 4/3x+7
D)The equation of the line is y= -4/3x+7
Answer:
A
Step-by-step explanation:
Since the slope is negative the line falls left to right.
The equation of the line falls from left to right.
What is a slope?The slope of a line, commonly referred to as its gradient, in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given, the y-intercept of a line is - 7 and the slope of the line is -4/3.
And the standard form of the slope-intercept form:
y = mx + b,
where m is the slope and b is the y-intercept.
Here, m = -4/3 and b = -7.
Substituting the above values to the standard slope-intercept form,
y = (-4/3)x + (-7)
y = (-4/3)x -7
And the line falls from left to right.
Therefore, the line falls from left to right.
To learn more about the slope;
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what is the value of x if a² + ax - 10 is divided by a-2?
help with computation po
Answer:
x = 3
Step-by-step explanation:
We need it in factorized form to get x.
If the quadratic equation can be divided by a-2 the first part is:
(a-2)
Now to get a², the a must be multpilied by itself. So
(a-2)(a)
To get -10, -2 must be multiplied by 5. So:
(a-2)(a+5)
we can expand to get x
a² + 5a - 2a -10
a² + 3a - 10
a² + ax - 10
x = 3
Please Help!!!!!!!
Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive. How much honey does Bert's new beehive hold?
Answer:
180?
Step-by-step explanation:
Answer: The new beehive will hold 200 pounds of honey
Explanation: 30 divided by 6 is five so 40*5 is 200
The diagram shows a triangle.
2x
60°
2x
What is the value of x?
Х=
Answer:
X=30
Step-by-step explanation:
It is a equilateral triangle so all side are the same
You would add the x's so it would be 4x + 60 = 180
Thats 4x = 120
Divide 120 by 4 and u get 30
hey. help pls and thank you