For a laboratory assignment, if the equipment is working, the density function of the observed outcome x is f(x) = 2(1 − x), 0
The Variance is [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex].
What is Variance?Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
Given:
E(x) = [tex]\int\limits^1_0 {x(2(1-x))} \, dx[/tex]
= [tex]\int\limits^1_0 {(2x - 2x^2)} \, dx[/tex]
For the variance, if μ is the mean, then
Var(x) = E( x- μ)²
= [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex]
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Find the interest rate for the given deposit and compound amount. $4600 accumulating to $5994.78, compounded monthly for 4 years.
The rate of interest monthly is 0.55%.
Given that,
The deposit amount is $4,600.The future value is $5,994.78The number of months = 4(12) = 48.The payment i.e. PMT = $0Based on the above information, the calculation is as follows:
The formula is
= RATE(NPER,PMT,-PV,FV,TYPE)
After applying the above formula, the rate of interest monthly is 0.55%.
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a telephone pole needs a wire attached to its top and anchored to the ground at a point that is 56 feet less than the height of the pole. if the wire is to be 16 feet longer than the height of the pole what is the height of the pole
Using the first derivative test, find all relative extrema for f(x) g
If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is ________?
I really need help with this question!
a line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify
Which of these r-values represents the weakest correlation?
A. –0.75
B. –0.15
C. –0.55
D. –0.35
Answer: B. -0.15
Step-by-step explanation: It is the farthest from -1 so it would be -0.15.
The correct r - value which represents the weakest correlation is, - 0.15.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, Apply the absolute value to each number.
In other words, remove the negative sign to determine the positive version of that number.
-0.75 turns into 0.75
-0.15 turns into 0.15
-0.55 turns into 0.55
-0.35 turns into 0.35
Here, The smallest result is 0.15, which is closest to 0.
Thus, The closer r is to 0, the weaker the correlation.
Hence, The correct r - value which represents the weakest correlation is, - 0.15.
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use mental math to solve the equation z/-12 = -5
Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 450 cubic centimeters of liquid. the length of the box must be 2 times as large as the width. define a function j j that gives the height of the metal box, h h, measured in centimeters in terms of the width of the metal box, w w, measured in centimeters.
How many unique triangles can be made when one angle measures 90° and another angle is half that measure?
How to find two fractions between 3/5 and 4/5
what is the value of x in 7(3x - 13)=224 ?
Will mark brainliest!
7(3x-13)=224
21x-91 = 224
21x = 315
x = 315 / 21
x = 15
A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin
There are 60 dimes and 32 quarters.
Given that a sum of $ 14 is made of 92 coins consisting of dimes and quarters, to determine how many are there of each kind of coin, the following calculation must be performed:
0.10 x 92 + 0.25 x 0 = 9.20 0.10 x 72 + 0.25 x 20 = 12.20 0.10 x 52 + 0.25 x 40 = 15.20 0.10 x 62 + 0.25 x 30 = 13.70 0.10 x 60 + 0.25 x 32 = 14
Therefore, there are 60 dimes and 32 quarters.
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A reasonable APR to pay for a 3-year automobile loan is
What is 32.51 in word form
Please help thx
Illinois State tax is 4.98%. How much did Brody pay for a post card that cost $1.19?
Jon is looking into 4250 vaction packages that offerend for 25% off.there is 9% resort fee added on the total.how much will the vaction cost Jon?
The fourth grade collected 40,583 cans and plastic bottles. Write the number in word form?
Answer is 'Forty thousand, five hundred eighty-three'.
When we write numbers in word form, we express each digit's value in words. In the number 40,583, we have:
"Forty" represents the digit 4 in the ten thousands place.
"Five hundred" represents the digit 5 in the hundreds place.
"Eighty" represents the digit 8 in the tens place.
"Three" represents the digit 3 in the ones place.
Trigonometric area formula: Area = 1/2 ab sin(c)
What is the area of triangle DEF? Round to the nearest tenth of a square unit.
10.3 square units
18.0 square units
20.0 square units
20.6 square units
Answer:
1. 10.3 square units.
Step-by-step explanation:
The general formula for area of triangle is [tex]\frac{1}{2}(\text{ Base}\times\text{ Height}})[/tex]. We can also find area of a triangle using trigonometric area formula.
[tex]Area=\frac{1}{2} ab\text{ sin}(c)[/tex], where a represents length of base and height of triangle is represented by [tex]b\text { sin}(c)[/tex].
We have been given two angle measures but we can only use sine of included angle whose two side lengths are given. In our triangle the angle that measures 31 degrees in included angle of sides EF and DF.
Now let us substitute our given values in the above formula.
[tex]Area=\frac{1}{2}\times 8\times 5\text{ sin}(31)[/tex]
[tex]Area=\frac{1}{2}\times 8\times 5\times 0.51503807491[/tex]
[tex]Area=4\times 5 \times 0.51503807491[/tex]
[tex]Area=20 \times 0.51503807491[/tex]
[tex]Area=10.3007614982\approx 10.3[/tex]
Therefore, the area of triangle DEF is 10.3 square units and 1st option is the correct choice.
Answer:
10.3= the awnser
Step-by-step explanation:
just took test and got it right.
what is 0.688 as a percent
Nora took 8 bottles of water to a picnic. Of those bottles of water, she and her friends opened a certain number of bottles. b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
A .8 + b
B. b + 8
C 8 - b
D. b - 8
What percent of 18 is 36
Marcus mixes 5 parts white paint with 2 parts red paint to make pink. Suppose he adds one part of each. What is the new ratio of red to white?
Final answer:
In genetics, crossbreeding a white-eyed male fruit fly with a heterozygous red-eyed female typically results in a 1:1 ratio of red-eyed to white-eyed offspring if eye color is an X-linked trait and red is dominant over white.
Explanation:
The question pertains to genetics, specifically the inheritance patterns of eye color in fruit flies (Drosophila melanogaster), which is a classic example in the field of genetics. When crossing a white-eyed male (mutant allele) with a female that is heterozygous for red eye color (one red allele and one white allele), the offspring will have a 1:1 ratio of red-eyed to white-eyed if eye color is an X-linked trait. This is because the male passes on his Y chromosome without the eye color allele to half the offspring, and his X chromosome with the white eye color allele to the other half. The female passes on one of her X chromosomes to all the offspring—half of these will carry the red allele and the other half will carry the white allele.
If the trait follows simple Mendelian inheritance, assuming red eye color is dominant over white, the offspring ratio will be 50% red-eyed (having one red allele from the mother and one white allele from the father), and 50% white-eyed (having one white allele from the mother and one from the father).
it's 3 to 6 your welcome have a nice day :>
Which of the following is a function equivalent to f(x) = 4(1.8)2x?
f(x) = 4(3.24)x
f(x) = 4(3.24x)
f(x) = 12.96x
f(x) = 51.84x
Answer:
A: f(x) = 4(3.24)x
(you forgot to put the "^" symbol before the X to show it is rising to "2x",, AKA an exponent, but that's ok <3
Step-by-step explanation:
Please do not listen to the other answer! It is wrong and i will show you why.
First we need to take a look at the exponent and the number in parentheses. If anyone remembers, we need to use the distributive property to distribute the '2' in the exponent '2x' to the number(s) inside the parentheses.
So you would go: 1.8 x 2 = 3.24
You would then put the 3.24 in the place of the 1.8 to give you:
f(x) = 4(3.24)^x
Now, you may ask, 'biscuit, why do we keep the exponent 'x'? shouldn't we put it inside the parentheses?',, and to that i say no! We only used the 2 from the exponent, so the x stays in it's place.
You also might ask 'biscuit, why don't we go a step further and multiply the 4 by the 3.24?',, and to that I also say no! Remember, the question asked us to find a function equivalent to our original equation, not solve the whole equation <3
If you have any questions please don't hesitate to ask!
-Biscuit08
A basket of laundry is being separated. Divide 48 pieces into 2 clothing groups so the ratio is 1 to 3
Boel decided to plant rose bushes in her garden. She has 24 bushes she places 6 bushes in each row. How many rows of rose bushes does she plant in her garden
Answer:
she can plant 4 rows of bushes
Step-by-step explanation:
6 x _ = 24 (4) or 24 divided by 6 = 4
What would a frog do if he could not find scissors to cut a coupon out of the newspaper?
Benito is selling T-shirts for $8 each for his school fund-raiser. So far, he has sold 16 T-shirts. How many more does he need to sell to reach his goal of $200 in sales?
Three of these equations solve for the number of T-shirts, t, he still needs to sell to reach $200 in sales. Which equation does NOT?
A. t = 9
B. 8(t + 16) = 200
C. 8t + 128 = 200
D. 8t + 16 = 200
Find the point on the plane nearest to g 2x+5y+z=10 that is nearest (2,0,1)