In a normal distribution, 95% of the data falls within two standard deviations.
What is a normal distribution?
The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.
Here,
We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.
We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.
Hence, In a normal distribution, 95% of the data falls within two standard deviations.
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Determine the value of x if y=3
y = 2x+3
Answer:
0
Step-by-step explanation:
3 = 2x + 3
0 = 2x
x = 0
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451451 watts with a variance of 144144. What is the probability that the mean amplifier output would be greater than 449.8449.8 watts in a sample of 7676 amplifiers if the claim is true?Round your answer to four decimal places.
Answer:
The probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is as follows:
[tex]\mu=451\\\sigma^{2}=144\\n=76\\\bar x=449.8[/tex]
Compute the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers as follows:
[tex]P(\bar X>449.8)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{449.8-451}{\sqrt{144/76}})\\\\=P(Z>-0.87)\\\\=P(Z<0.87)\\\\=0.8078[/tex]
*Use a z-table.
Thus, the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
CAN SOMEONE PLEASE HELP WILL GIVE BRAINLIEST
Answer:
c = 7
d = 5
Step-by-step explanation:
Notice that in the first expression, x^c is inside a square root, and only perfect squares can be extracted from it. On the simplified form shown on the right hand side, we have x^3 outside the root and a single "x" left inside. In order for such to happen (x^3 get outside the root) there must have been an x^6 inside the square root. This together with the sole "x" that was left in the root, totals seven factors of x that should have been originally inside the square root:
x^6 * x = x^7 therefore c was a "7"
In the second expression we have a CUBIC root, so only perfect cubes can get extracted from it. Since there is one factor "x" shown in the simplified form (right hand side of the equal sign), that means that it must have been an x^3 (perfect cube) apart from the x^2 that was left inside the root. This makes the original power of x to be a 3 + 2 = 5.
Therefore d = 5
The difference in y-values between the coordinates of two points on a line is called the
The difference in y-values between the coordinates of two points on a line is called the Rise.
The difference in y-values between the coordinates of two points on a line is called the rise or vertical rise. Or The rise is the vertical distance between the two points, which is the difference between their y-coordinates.
The difference in the x-values of two points on a line is called the run.
Slope of line is given by,
[tex]m=\dfrac{rise}{run}[/tex]
Hence,The difference in y-values between the coordinates of two points on a line is called the Rise.
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Solve the system by substitution
3x+5y=1
X=5y+7
where n 2 1
OS – On -3
1-
Mn
(
01'0
-
1
)
=
"
n
THIS IS DUE IN 10 MINS
Answer:
D
Step-by-step explanation:
Order the numbers from least to greatest.
Answer: -11/2, -5/7, 0.1, 4/5, 1.3
Step-by-step explanation:
It might be easier to convert these fractions into decimals so let’s do that. -5/7 becomes about -0.7, 4/5 becomes 0.8, 1.3 is already a decimal, -11/2 becomes -5.5, and 0.1 is already a decimal. Negative numbers are less than positive numbers and -5.5 is a bigger negative number than -0.7, so -5.5 (-11/2) comes first and -0.7 (-5/7) comes second. 0.1 is less than 0.8 so 0.1 is third and 0.8 (4/5) is fourth. That leaves 1.3 as the greatest number. This gives us the list -11/2, -5/7, 0.1, 4/5, 1.3. Hope this helps!
What is the formula for finding distance?
Answer:Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation
Step-by-step explanation:
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.
Answer:
11356.2
Step-by-step explanation:
Select the correct answer.
The number of days, d, it will take Manny to read a book varles inversely as the number of pages, p, he reads per day. If kis the constant of
variation, which equation represents this situation?
OA. d+p=k
OB. dp = k
OC. d= pk
OD. d=p+k
The equation represents this situation will be dp = k. Thus, option B is correct.
What is directly proportional?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called constant of proportionality.
The inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day.
If k is the constant of variation.
The equation represents this situation will be
dp = k
Thus, option B is correct.
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What percent of $44,000 is $150
Answer:
approximately 0.34%
Let's pretend you are interested in learning what music teens prefer.
Choose a survey setup below that would most likely represent teens the
best. Add a post to the discussion board that identifies which option you
think is the best representation and why. Also, take a moment to read
the observations posted by your peers. Choose two different posts to
respond to and explain why you agree or disagree with your classmate.
Option 1: You stand outside of the grocery store and ask 100 people
what type of music they prefer.
Option 2: You randomly draw 100 names from a hat of students at your
school, and ask those students what type of music they prefer.
Option 3: You randomly select 2 neighborhoods in your town and ask 50
people in each neighborhood what type of music they prefer.
Answer:
option 2
Step-by-step explanation:
Erin entered the following expression into her graphing calculator.
14800*(1+.04/12)
(1242)
Which of these future values could she have been calculating?
A. The future value of $14,800 invested at 12% interest compounded
semiannually for 4 years.
B. The future value of $14,800 invested at 4% interest compounded
monthly for 2 years
C. The future value of $14,800 invested at 12% interest compounded
quarterly for 2 years
D. The future value of $14.800 invested at 4% interest compounded
semiannually for 12 years.
The correct future values could she have been calculating is,
⇒ The future value of $14,800 invested at 4% interest compounded
semiannually for 12 years.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Erin entered the following expression into her graphing calculator,
⇒ 14800 (1 + 0.4/12)¹²°²
Thus, We get;
The correct future values could she have been calculating is,
⇒ The future value of $14,800 invested at 4% interest compounded
semiannually for 12 years.
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John had 7 red marble and 5 blue marble in a box. Today, he put some marble in the box and the ratio is 10 red to 19 total. How many blue marbles does he put today in the box?
Answer:
He added 14 blue marbles to the box today
Answer:10 - 19 =9 answer 9 blue marbles
Step-by-step explanation:
Moses is solving the problem below.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
Answer:
2.21184 or 2.212
Step-by-step explanation:
step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false
Answer:
Step 3
Step-by-step explanation:
I took a quiz and got it right
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
Please check #9 and tell me if I’m right
Q: Find (x) so the (L) is parallel to (m) and state the converse used
Answer:
that's 53 °not 90 i thought
my last question someone help pls
Answer:
3
Step-by-step explanation:
Select the correct answer.
What is the relationship between the two shapes?
LOOK AT THE IMAGE PLEASE
The answer is the A because they are similar and congruent
Answer:
A
Step-by-step explanation:
PLEASE ANSWER ASAP!!!
A right triangle always has obtuse exterior angles at two verticies, True or False?
Answer:
false
Step-by-step explanation:
3 times what is 5
(whole number if possible)
Answer:
1.6, but can be rounded to 2
Step-by-step explanation:
Answer:
1.66
Cannot be a whole number because 3 times a whole number cannot equal 5
Find the value of X, I need help solving this
Answer:
B) 13
Step-by-step explanation:
The given angles are vertical angles and has same measurement
4x = 52° divide both sides by 4
x = 13
The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44, how many possible combinations of student and teacher tickets could have been sold?
(DO NOT GIVE ME AN WARNING FOR THIS IT IS PART OF MY SCHOOL PROJECT)
Help everyone what is JoJo siwa net worth but than multiple it with 79/20
Answer:
12 million
Step-by-step explanation:
Answer:
47400000
Step-by-step explanation:
12 million * 79/20 = 47400000
A business is owned by 3 people. Mrs. Applegate owns
3
19
of the business. Mrs. Brown owns 3 times as much as
Mrs. Charles. What fractional part of the business does Mrs. Brown own?
Given:
Mrs. Applegate owns [tex]\dfrac{3}{19}[/tex] of the business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
To find:
The fractional part of the business that Mrs. Brown owns.
Solution:
Let Mrs. Charles owns x part of business.
Mrs. Brown owns 3 times as much as Mrs. Charles.
Mrs. Brown owns = 3x part of business.
Mrs. Applegate owns [tex]=\dfrac{3}{19}[/tex] of the business.
[tex]x+3x+\dfrac{3}{19}=1[/tex]
[tex]4x=1-\dfrac{3}{19}[/tex]
[tex]4x=\dfrac{19-3}{19}[/tex]
[tex]4x=\dfrac{16}{19}[/tex]
Divide both sides by 4.
[tex]x=\dfrac{16}{4\times 19}[/tex]
[tex]x=\dfrac{4}{19}[/tex]
Now,
Mrs. Brown owns [tex]=3\times x[/tex]
[tex]=3\times \dfrac{4}{19}[/tex]
[tex]=\dfrac{12}{19}[/tex]
Therefore, Mrs. Brown owns [tex]\dfrac{12}{19}[/tex] of the business.
how many mid-points does a segment have
Answer:
1
Step-by-step explanation:
A segment has only one midpoint because there is only one point in the exact middle of a segment.
Answer:
A line segmhas only one midpoint
What are the solutions to the quadratic equation 4(x + 2)2 = 36 x = −11 and x = 7 x = −7 and x = 11 x = −5 and x = 1 x = −1 and x = 5
Answer:
c
Step-by-step explanation:
edge2020
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
What is a Quadratic Equation?
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
To solve for x, we use the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
4(x + 2)² = 36
4( x(x + 2) + 2(x+2) ) = 36
4( x² + 2x + 2x + 4 ) = 36
4( x² + 4x + 4 ) = 36
4x² + 16x + 16 = 36
4x² + 16x + 16 - 36 = 0
4x² + 16x - 20 = 0
We can further simply ( divide through by 4 )
x² + 4x - 5 = 0
Hence,
a = 1b = 4c = -5x = (-b±√(b² - 4ac)) / (2a)
x = (-4±√(4² - (4 × 1 × -5)) / (2×1)
x = (-4±√(16 - (-20)) / (2)
x = (-4±√(16 + 20)) / (2)
x = (-4±√(36)) / 2
x = (-4±6)) / 2
Hence
x = (-4-6)) / 2 and x = (-4+6)) / 2
x = -10/2 and x = 2/2
x = -5 and x = 1
The solutions to the quadratic equation 4(x + 2)² = 36 is x = -5 and x = 1.
Hence, option c) x = -5 and x = 1 is the correct answer.
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Graph the linear equation 4x+9y=36 solving for y
Answer:
y=4-4/9x x=9-9/4y
Step-by-step explanation:
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A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
Required:
a. What is the meaning of the derivative fâ'(x)? What are its units?
b. In practical terms, what does it mean to say that fâ'(2,000) = 10?
c. Which do you think is greater, fâ'(200) or fâ'(600)? What about fâ'(4,000)?
Correct is;
A manufacturer produces bolts of a fabric with a fixed width. The cost of producing x yards of this fabric is C = f(x) dollars.
(a) What is the meaning of the derivative f '(x)?
What are its units?
(b) In practical terms, what does it mean to say that f '(2000) = 10?
(c) Which do you think is greater,
f '(200) or f '(600)? What about f '(4000)?
Answer:
A) f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.
It's unit is $/yard
B) f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.
C) f' (200) > f'(600)
f'(4000) > f'(600)
Step-by-step explanation:
A) Since the cost of producing x yards of this fabric is C = f(x) dollars. f'(x) simply means the rate of change of C with respect to x.
In clearer terms, the derivative f'(x) means the rate of change of the cost of production with respect to the number of yards that were produced.
It's unit is $/yard
B) To say f '(2000) = 10 means that after production of 2000 yards of fabrics, the cost of production will be increasing at a rate of $10 per yard.
C) f '(200) is greater than f'(600) because the cost of making the 600th yard will be less than the cost of the 200th yard. Reason for this is due to economics of scale as the manufacturer will certainly make more efficient use of fixed costs of production.
As more units are produced, there may likely be more overtime costs and thus the rate of increase cost of production will likely increase faster.
Thus;
f'(4000) > f'(600)