Answer:
Answer and Explanation:
We have:
Population mean,
μ
=
3
,
000
hours
Population standard deviation,
σ
=
696
hours
Sample size,
n
=
36
1) The standard deviation of the sampling distribution:
σ
¯
x
=
σ
√
n
=
696
√
36
=
116
2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.
Therefore:
The expected value of the sampling distribution is equal to the population mean,
μ
¯
x
=
μ
=
3
,
000
The standard deviation of the sampling distribution,
σ
¯
x
=
116
The shape of the sampling distribution of
¯
x
is approximately normal. As the sample size is more than
30
.
3) The probability that the average life in the sample will be between
2670.56
and
2809.76
hours:
P
(
2670.56
<
x
<
2809.76
)
=
P
(
2670.56
−
3000
116
<
z
<
2809.76
−
3000
116
)
=
P
(
−
2.84
<
z
<
−
1.64
)
=
P
(
z
<
−
1.64
)
−
P
(
z
<
−
2.84
)
=
0.0482
Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)
4) The probability that the average life in the sample will be greater than
3219.24
hours:
P
(
x
>
3219.24
)
=
P
(
z
>
3219.24
−
3000
116
)
=
P
(
z
>
1.89
)
=
0.0294
Using Excel: =NORMSDIST(-1.89)
5) The probability that the average life in the sample will be less than
3180.96
hours:
P
(
x
<
3180.96
)
=
P
(
z
<
3180.96
−
3000
116
)
=
P
(
z
<
1.56
)
=
0.9406
The expected value, standard deviation, and shape of the sampling distribution of will be 116.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Now,
Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Hence, The expected value, standard deviation, and shape of the sampling distribution of is,
⇒ Standard error = 696 / √ 36
= 696 / 6
= 116
Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.
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(Giving brainliest and extra points to who ever helps me!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
Answer:
2 7/20
Step-by-step explanation:
So Lets put these into a fraction form
Petra: 5 3/5
Pauline: 3 4/16 -> Can be Simplified = 3 1/4
Take the number of pies Petra Ate and subtract it by the number of pies Pauline ate
Change the numbers to a common factor. (multiply 3/5 by 4 and 1/4 by 5 to have common denominators)
Make These Into a Mixed Fraction
Subtract 112-65
Simplify (divide 47 into 20 how many times to get into a mixed fraction)
Hope This Helps :)
Answer:
27/20
Step-by-step explanation:
what is the local minimum on a graph
Answer:
if the function goes from decreasing to increasing,
Step-by-step explanation:
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:
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
A video game cube has 50 members and is losing 3 members each year a sports club has 15 members and is gaining 2 members each year.After how many years will the clubs have the same amount of members
y=mx+b
answer fast, please!
Answer: y = -1x + 3
Step-by-step explanation:
it's going through the y intercept ( 3 )
and down ( negative by 1 )
you can also write the answer as y = -x + 3
either one, its the same.
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
If f(x) = -3x + 4, find f(-4)
Answer:
Step-by-step explanation:
-3x+4
-3(-4)+4
12+4
16
Answer:
3x+4
3(-4)+4
12+4
16
Step-by-step explanation:
A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is
Answer:
0.8664
Step-by-step explanation:
I hope it helps, and please give me Brainlest!
Is triangle AXY inscribed in circle A?
yes
no
Answer:
yes
Step-by-step explanation:
its marked in the center with characters
Multiply. Express your answer in simplest form.
5/9 x 3/10
Answer:
5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
We have,
To multiply fractions, we multiply the numerators together and the denominators together.
The resulting fraction is then simplified to its simplest form.
Let's multiply 5/9 by 3/10:
(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90
To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:
15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6
Therefore,
5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.
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calculeaza aria unui triunghi cu baza de 20 cm si inaltimea corespunzatoare ei de 12 cm
Answer:
Aria unui triunghi =120 cm²
Step-by-step explanation:
Folosind formula:
Aria unui triunghi = (baza x înălțimea) / 2
A=(20x12)/2
=240/2 cm²
=120 cm²
Aria unui triunghi =120 cm²
13. (02.05)
Simplify i37 (radical is 37 with the i)
1
-1
-i
i
Answer:
i
Step-by-step explanation:
i=√-1
Which is the smallest ratio?
3 to 4, Two-thirds, 10:12, 2 to 1
3 to 4
Two-thirds
10:12
2 to 1
Answer:
Each ratio can be rewritten as a fraction:
3 to 4 becomes 3/4
2/3 is already a fraction
10:12 becomes 10/12 which can be simplified to 5/6 by dividing both the numerator and the denominator by 2
2 to 1 is 2/1 or 2
2 to 1 is the greatest because it is the only whole number. Comparing the three remaining can be a little more difficult because they have different denominators (the number on the bottom of the fraction).
In order to compare them we can find equivalent(equal) fractions that have a common denominator.
In order to find equivalent fractions we first find the common denominator. Then we multiple the fraction by a unit of one (ex. 2/2, 3/3, 4/4).
3/4 ,2/3, 10/12 12 would be a common denominator because 4 x 3 =12 3 x 4=12 and 12 x 1=12
3 x 3 = 9 3/4=9/12
4 x 3 = 12 2/3=8/12
10/12= 10/12
2 x 4 = 8
3 x 4 =12
Now that they have the same denominator we can see that 8/12 or 2/3 is the smallest fraction.
So, 2/3 is the smallest ratio
Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratios can be written in the form of fractions,
3 to 4 can be written as 3/4
Two thirds can be written as 2/3
10:12 can be written as 10/12 after simplifying we get 5/6
2 to 1 can be written as 2/1
3/4, 2/3, 5/6, 2/1 are the fractions, now we have to find the smallest fraction. This can be done by doing all the fractions with same denominator
3/4×3/3=9/12
2/3×4/4=8/12
5/6×2/2=10/12
2/1×12/12=24/12
In this 8/12 is the smallest fraction so 2/3 is the smallest ratio.
Hence Two-thirds is the smallest ratio among 3 to 4, Two-thirds, 10:12, 2 to 1.
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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 :)
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
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
If x = 3 + 2√2, then the value of (x - 1/x) is
a) 4√2
b) 2√4
c) 8
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:
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
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
Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)
Answer:
Answer by Yi Jing
Step-by-step explanation:
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
subtract these polynomials. (3x^22+2x+4)-(x^2+2x+1)
Answer:
3x^22−x^2+3
Step-by-step explanation:
Let's simplify step-by-step.
3x^22+2x+4−(x2+2x+1)
Distribute the Negative Sign:
=3x^22+2x+4+−1(x2+2x+1)
=3x^22+2x+4+−1x2+−1(2x)+(−1)(1)
=3x&22+2x+4+−x2+−2x+−1
Combine Like Terms:
=3x22+2x+4+−x2+−2x+−1
=(3x22)+(−x2)+(2x+−2x)+(4+−1)
=3x22+−x2+3
Answer:
=3x22−x2+3
Answer:3x^22−x^2+3
Step-by-step explanation:
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
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.
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
Which of the following statements best describes the difference between net income and gross profit?
A.Gross profit considers operating expenses while net income does not.
B.Net income considers operating expenses while gross profit does not.
C.Gross profit deducts taxes while net income does not.
d. Net income deducts taxes while gross profit does not.
Answer:
d. Net income deducts taxes while gross profit does not.
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.
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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