1. At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?2. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be between 0.99 and 1.01 cm?3. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. What is the probability that the sample mean will be below 0.95 cm?4. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 cm and a standard deviation of 0.1 cm. A random sample of 12 computer chips is taken. Above what value do 2.5% of the sample means fall?
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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What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]
x1 and y1 are (-2, -1)
x2 and y2 are (4, 3)
[tex]\frac{3-(-1)}{4-(-2)}[/tex]
[tex]\frac{3+1}{4+2}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
In the figure, AB is a midsegment of XYZ, CD is a midsegment of XAB. and AY - BZ
Answer:
xyz is isosceses triangle
2x + 8y = 22
8x - 8y = 8
Answer:
(3, 2)
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
2x + 8y = 22
8x - 8y = 8
Step 2: Solve for x
Elimination
Add 2 equations together: 10x = 30Divide 10 on both sides: x = 3Step 3: Solve for y
Define original equation: 8x - 8y = 8Substitute in x: 8(3) - 8y = 8Multiply: 24 - 8y = 8Subtract 24 on both sides: -8y = -16Divide -8 on both sides: y = 2Step 4: Graph systems
Check the systems.
(Ill give brainliest!!)
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
A) six and two thirty thirds kilometers
B) five and twenty five thirty thirds kilometers
C) six and twenty five thirty thirds kilometers
D) six and twenty thirty thirds kilometers
Answer:
c
Step-by-step explanation:
Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?
A movie theater determines its profit, in dollars, using the expression 10n - 1000, where n is the number of tickets sold.
Which inequality shows the minimum number of tickets sold in order to make a profit of at LEAST $5,000?
O A 1400
B. 1 495
OC. n 500
OD, n 505
O E 2 600
Answer:
E
600
Step-by-step explanation:
10n - 1000 = 5000
10n = 6000
n = 600
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Keith has landscaping bricks that are 0.75 feet long.
Keith put 19 bricks
Feet long bricks - 0.75
No of bricks she added
is 15
So now we will multi plied
0.75× 19
Se solution 0.75
× 15
________
11 . 25
So the Answer is 11 . 25 is the final
answer
hope this Answer will help you
13. (02.05)
Simplify i37 (radical is 37 with the i)
1
-1
-i
i
Answer:
i
Step-by-step explanation:
i=√-1
Number of Green Candies in a Bag A dot plot going from 10 to 15. 10 has 1 dot, 11 has 3 dots, 12 has 1 dot, 13 has 2 dots, 14 has 3 dots, and 15 has 3 dots. The center is .
Answer:11
Step-by-step explanation:
Look at middle of pot line
Answer:
it iis 13 :) plz mark me brainlyisst
Step-by-step explanation:
15 POINTS! PLEASE HELP WILL MARK BRAINLIEST
Answer:
B) 1
Step-by-step explanation:
When reading the problem it tries to trip you up with the black dot. A line of symetery marks where you can cut the shape in half and have both parts equal. With the black dot a part of the shape there is only one way for a line of symetery to work as it can only be split in half that one way. No other corners have a black dot so there is no other way to split it where it would be symetrical.
What are three expressions that have the sum or difference of 3/4
Answer:
-11/12 − 1/6
-3/5 + 3/20
-2/3 + 1/12
Step-by-step explanation:
L'architecte___________beaucoup.
parle
dessine
écrit
mange
what is the correct answer ♂️♂️?
If a household appliance had a wattage of 4,694 amd is in use for 10 hours, how much Co2 was produced
Answer: 4.64805 pounds of CO₂ was produced
Step-by-step explanation:
Given that;
wattage = 4694 watt = 4694 /1000 = 4.694 kW
time in use t = 10hrs
CO₂ was produced = ?
Total Energy produced = wattage × time = 4.694 kW × 10hrs = 46.95 kWh
we know that 1 kWh produces 0.99 pounds of CO₂
so
46.95 kWh will produce ⇒ 46.95 kWh × 0.99 = 4.64805 pounds of CO₂
Therefore 4.64805 pounds of CO₂ was produced
Gail collects trading cards. Her favorites are baseball and football cards. For
every 10 baseball cards she owns, Gail has 17 football cards. What is the
ratio of baseball cards to football cards in her collection?
O A. 17:10
B. 10 and 17
O c. 12
O D. 17 to 10
Step-by-step explanation:
its ratio so it has to be A
A 0.8-liter bottle of Mexican wine costs 100 pesos. At that price, how much would a halfgallon jug of the same wine cost in dollars? Mexican peso Dollars per foreign: 0.07855 Foreign per dollar: 12.73
Answer:
$11.83
Step-by-step explanation:
1 gallon = 3.785 litres
0.5(1/2gallon) = x liters
x = 0.5 × 3.785 liters
x = 1.89271 liters
0.8 liter = 100 pesos
1.89271 liters = x pesos
x = 1.89271 × 100/0.8
x = 236.58875 pesos
Converting to dollars
1 mexican peso = $0.050
236.58875 pesos = x
x = 236.58875 × $0.050
x = $11.8294375
Approximately = $11.83
A half gallon jug of the same wine cost in dollars $11.83
3/4 of Hari's marbles are black and 1/5 are green. What would be the ratio of black marbles to the green marbles?
Answer:
➩ 15 : 4 is the ratio
Step-by-step explanation:
Hari's marbles are = ¾ which is black in color.
And ⅕ of his marbles are green in color.
Forming in ratio :
[tex] \sf \to \: \frac{3}{4} : \frac{1}{5} \\ \sf \to \: \frac{3}{4} \times 5 \\ \sf \to \: \frac{15}{4} \\ \sf \to \: 15 : 4 \: ans.[/tex]
Answer:
15/4
Step-by-step explanation:
Let's try doing this with decimals. It might be easier.
3/4 = 0.75 black
1/5 = 0.2 green
Black / Green = 0.75/0.2 = 3 3/4 to 1
Black / Green = 15/4
Find d^2y/dx^2 if 5x^3 - y^3 = 25
A. -250x/y^5
B. (10x(y^2-x))/y^3
C. 5x^2/y^2
D. (10(y^2-5x^4))/y^3
E. 30x - 6y
Answer:
[tex]y''=\frac{-250x}{y^5}[/tex]
Choice A.
Step-by-step explanation:
We are given:
[tex]5x^3-y^3=25[/tex]
We are asked to find:
[tex]\frac{d^2y}{dx^2}[/tex]
This requires we first find:
[tex]\frac{dy}{dx}[/tex]
Let's begin.
We will differentiate the right hand side using the constant rule since 25 is just a constant. We will differentiate the left hand side using difference rule and then constant multiple rule and then power rule and chain rule.
[tex](5x^3-y^3=25)'[/tex]
[tex](5x^3-y^3)'=(25)'[/tex]
[tex](5x^3)'-(y^3)'=0[/tex]
[tex]5(x^3)'-(y^3)'=0[/tex]
[tex]15x^2-3y^2y'=0[/tex]
Now let's solve for [tex]y'[/tex].
Add [tex]3y^2y'[/tex] on both sides:
[tex]15x^2=3y^2y'[/tex]
Divide both sides by [tex]3y^2[/tex]:
[tex]\frac{15x^2}{3y^2}=y'[/tex]
Symmetric property of equality:
[tex]y'=\frac{15x^2}{3y^2}[/tex]
Simplify right hand side:
[tex]y'=\frac{5x^2}{y^2}[/tex]
Now let's find the second derivative by differentiating both sides of this equation. We will use the quotient rule on the right hand side:
[tex]y''=\frac{(5x^2)'y^2-5x^2(y^2)'}{(y^2)^2}[/tex]
[tex]y''=\frac{10xy^2-5x^2(2yy')}{y^4}[/tex]
We can replace [tex]y'[/tex] with [tex]\frac{5x^2}{y^2}[/tex]... since we just got this result before differentiating both sides of an equality again.
So we have:
[tex]y''=\frac{10xy^2-5x^2(2y\frac{5x^2}{y^2})}{y^4}[/tex]
Let's simplify the 2nd term on top by cancelling a common factor of y in that term from top and bottom:
[tex]y''=\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
We still don't like having this compound fraction (a mini fraction inside a bigger fraction). Let's get rid of that...Multiply numerator and denominator by [tex]\frac{y}{y}[/tex] for the big fraction to clear the mini fraction out.
[tex]y''=\frac{y}{y}\frac{10xy^2-5x^2(2\frac{5x^2}{y})}{y^4}[/tex]
Distribute:
[tex]y''=\frac{10xy^3-5x^2(2)5x^2}{y^5}[/tex]
Simplifying a bit more:
[tex]y''=\frac{10xy^3-50x^4}{y^5}[/tex]
We could factor the top a bit... both terms on top of a common factor of [tex]10x[/tex]:
[tex]y''=\frac{10x(y^3-5x^3)}{y^5}[/tex]
Notice the thing in ( ) on top is the exact opposite of the left hand side of our original equation: [tex]5x^3-y^3=25[/tex].
This implies we can replace it with -25:
[tex]y''=\frac{10x(-25)}{y^5}[/tex]
[tex]y''=\frac{-250x}{y^5}[/tex]
in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?
Answer:
93%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total number of student = 300
Number of student that can not drive = 21
Percentage of student that can drive =.?
Next, we shall determine the number of student that can drive. This can be obtained as follow:
Total number of student = 300
Number of student that can not drive = 21
Number of student that can drive =?
Number of student that can drive = (Total number of student) – (Number of student that can not drive)
Number of student that can drive = 300 – 21
Number of student that can drive = 279
Finally, we shall determine the percentage of student that can drive as illustrated below:
Total number of student = 300
Number of student that can drive = 279
Percentage of student that can drive =?
Percentage of student that can drive =
279/300 × 100
= 93%
Thus, 93% of the student can drive.
Write the equation of the following line
Answer:
-6,6
Step-by-step explanation:
On its first visit to the vet, Emma’s kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit?
Answer:
46.667% increase of 30.
Step-by-step explanation:
44 is a 46.667% increase of 30.
Step-by-step explanation:
Thank you rhhtthrhrgrgtnymuge hjk it is the right
A football team gains 8 yards, looses 15 yards, than gains 20 yards. What was their total yards gained?
Answer:
The total yards gained was 13 yards.
Step-by-step explanation:
If you do 8-15+20=13
PLEASE MARK BRAINLIEST
not sure need help
Answer:
X=35
Step-by-step explanation:
Those 2 angles equal each other, meaning they're the same.
Knowing that you put them to equal each other.
2x+15=3x-20
Then you solve it.
20+15=3x-2x
35=1x
X=35
which of the equations is the correct representation of the following word problem
A student has two grades of 80 and 90. what grade must the students make on the next test to pass the class with a 90 grade average?
(80+90+n)/3=100
(80+90+90)/3=y
(80+90+z)/3z=90
+80+90+x)/3=90
Answer: (80+90+z)/3=90
Step-by-step explanation:
Answer:
(80+90+x) /3 =90
Step-by-step explanation:
let f(x) = x^4 -4x^2 +3x find f(-3) a.-54 b.36 c.-126 d.108
Answer:
b. 36
Step-by-step explanation:
Evaluate x^4 - 4 x^2 + 3 x where x = -3:
x^4 - 4 x^2 + 3 x = (-3)^4 - 4×(-3)^2 - 3×3
Hint: | Evaluate (-3)^2.
(-3)^2 = 9:
(-3)^4 - 49 - 3×3
Hint: | Determine the sign of (-3)^4.
(-3)^4 = (-1)^4×3^4 = 1×3^4:
3^4 - 4×9 - 3×3
Hint: | Compute 3^4 by repeated squaring.
3^4 = (3^2)^2:
(3^2)^2 - 4×9 - 3×3
Hint: | Evaluate 3^2.
3^2 = 9:
9^2 - 4×9 - 3×3
Hint: | Evaluate 9^2.
9^2 = 81:
81 - 4×9 - 3×3
Hint: | Multiply -4 and 9 together.
-4×9 = -36:
81 + -36 - 3×3
Hint: | Multiply 3 and -3 together.
3 (-3) = -9:
81 - 36 + -9
Hint: | Group the negative terms in 81 - 36 - 9 together and factor out the minus sign.
81 - 36 - 9 = 81 - (36 + 9):
81 - (36 + 9)
Hint: | Evaluate 36 + 9 using long addition.
| 1 |
| 3 | 6
+ | | 9
| 4 | 5:
81 - 45
Hint: | Subtract 45 from 81.
| 7 | 11
| 8 | 1
- | 4 | 5
| 3 | 6:
Answer: 36
An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)
How long (in feet) is a real caboose?
ft
9514 1404 393
Answer:
c/3 = 169/1242 1/4 feetStep-by-step explanation:
Since we want to know the actual number of feet, we can write the proportion with that in the numerator.
[tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]
The real caboose is 42 1/4 feet long.
Consider the statement: "The president of the United States is a United States citizen."
Is the statement a grammatically correct sentence?
What is the subject of the sentence? What is the verb in the sentence?
Is the sentence true?
A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
unit price for 11.3-ounce package = $0.25
unit price for 27.8-ounce package = $0.23
27.8-ounce package is the better buy
Step-by-step explanation:
An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
a) 11.3-ounce package
11.3 ounces = $2.88
1 ounce = $2.88 ÷ 11.3
1 ounce = $0.25
b) 27.8-ounce package
27.8 ounces = $6.48
1 ounce = $6.48 ÷ 27.8
1 ounce = $0.23
$0.25 > $0.23
The function f (x) has an average rate of change on the interval -2 < x < 3 of 3.4. If f (-2) = 9 then which of the following is the value of f (3)?
Answer:
The value of f(3)=12.4
Step-by-step explanation:
Average rate of change = 3.4
Interval: -2 < x < 3
f(-2) = 9
We need to find f(3)
The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
here we have a=-2 and b=3
Now finding f(3)
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]
So, The value of f(3)=12.4
Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of renting a climbing wall from Company A. The table shows the relationship between cost and rental time for Company B. The graph shows the relationship for Company C. Which company, if any, offers the best deal? Explain.
Answer:
company d
Step-by-step explanation:
mark brainliest
Answer:
after 3 days, the total cost of renting a car from Discount car rentals or Payless car rentals is the same.
The difference between 2 days = $265 - $185 = $80
If the difference between 2 days = $80
Difference between 1 day = $80/2= $40
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get u a better answer! have a great day :)