Answer:
Direct materials
Step-by-step explanation:
In this case we must bear in mind that as more products are sold, more material is needed to manufacture those additional final products
.
Therefore, in this case the cost would be related mainly to the materials, mainly the direct materials, since they are essential in the production of the product.
Many random number generators allow users to specify the range of the random numbers to be produced. Suppose that you specify that the random number Y can take any value between 0 and 2. Then the density curve of the outcomes has constant height between 0 and 2, and height 0 elsewhere.
(a) Is the random variable Y discrete or continuous? Why?
This is a discrete random variable because the set of possible values is an interval.
This is a continuous random variable because the set of possible values is an interval.
This is a discrete random variable because it has a finite sample space.
This is a continuous random variable because it has a finite sample space.
(b) What is the height of the density curve between 0 and 2? Draw a graph of the density curve.
(c) Use your graph from (b) and the fact that probability is area under the curve to find P(Y ≤ 1).
Answer:
a) This is a continuous random variable because the set of possible values is an interval.
b) Height = 0.5
Graph attached.
c) P(Y≤1) = 0.5
Step-by-step explanation:
a) If the density curve of the outcomes has a constant height, we have a uniform distribution for values between 0 and 2 (outside this range, the density function has a value of 0).
This function is continous and has a value for each real number. The set of possible values has a is an interval between 0 and 2, all with equal probability (the ones that are otuside this interval have 0 probability, so they are not possible values).
b) The height is calculated so that the total area under the density curve has to be equal to 1.
Then, we have to calculate the integral between 0 and 2 of the density function:
[tex]\int\limits^2_0 {U(x)} \, dx =\int\limits^2_0 {H} \, dx =H\int\limits^2_0 dx=H(x_2-x_1)=H(2-0)=1\\\\2H=1\\\\H=0.5[/tex]
The height is H=0.5
(Graph attached)
c) The probability can be calculated by integrating the density function (which is equal to the area under the curve) between 0 and 1, or using the graph.
With the graph, we see that the area is equal to the height (0.5) by the width of the interval (1), so the total area is 0.5 x 1 = 0.5.
The probability P(Y≤1) is equal to 0.5.
Using the uniform distribution, it is found that:
a)
This is a continuous random variable because the set of possible values is an interval.
b)
The height is [tex]\frac{1}{2}[/tex], and the sketch is given at the end of this answer.
c)
P(Y ≤ 1) = 0.5
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
In this problem, uniformly distributed between 0 and 2, thus [tex]a = 0, b = 2[/tex].
Item a:
Values in an interval, thus continuous. Discrete are for sample spaces, which is not the case here.
Item b:
The height is:
[tex]h = \frac{1}{b - a} = \frac{1}{2}[/tex]
The graph is sketched at the end of this answer.
Item c:
[tex]P(Y \leq 1) = \frac{1 - 0}{2 - 0} = \frac{1}{2} = 0.5[/tex]
Thus, P(Y ≤ 1) = 0.5.
A similar problem is given at https://brainly.com/question/13547683
The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively.
URGENT
Approximately how many spheres the size of Pluto does it take to have the same volume as Earth?
A.121
B. 154
C. 165
D.176
E.189
Answer:
A
Step-by-step explanation:
Evaluate the expression shown for x = 12.
Negative StartFraction 5 over 6 EndFraction x + 7
Answer:
-3 !!!!!
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
just did the test on edg
Use the change of variables s=y, t=y−x^2 to evaluate ∫∫Rxdxdy over the region R in the first quadrant bounded by y=0, y=16, y=x^2, and y=x^2−5. ∫∫R x dxdy=
Answer:
Step-by-step explanation:
[tex]s=y, t = y- x^2[/tex]
[tex]x^2=y-t[/tex]
[tex]x=\sqrt{s-t}[/tex]
[tex]y=0, y=16, y=x^2, and\\ y=x^2-5.[/tex]
[tex]y-x^2=0,y-x^2=-5[/tex]
therefore,
[tex]s=[(s,t)10\leq s\leq 16,-3\leq t \leq 0][/tex]
Taking partial derivatives
[tex]\frac{dx}{ds} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dx}{dt} =\frac{1}{2\sqrt{s-t} } \\\\\frac{dy}{ds} =1\\\\\frac{dy}{dt} =0[/tex]
[tex]\frac{\delta (x,y)}{\delta (s,t)} =\left|\begin{array}{ccc}\frac{1}{2\sqrt{s-t} } &-\frac{1}{2\sqrt{s-t} } \\1&0\end{array}\right|[/tex]
[tex]=\frac{1}{2\sqrt{s-t} }[/tex]
[tex]\int\limits \int\limits_R {x} \, dx \, dy=\int\limits\int\limits_s {x} \sqrt{s-t} |\frac{\delta(x,y)}{\delta (s,t)} |dsdt[/tex]
[tex]=\int\limits^{16}_0\int\limits^0_{-5} \sqrt{s-t} \frac{1}{2\sqrt{s-t} } dt ds[/tex]
[tex]=\frac{1}{2} \int\limits^{16}_0 ds\int\limits^0_{-5} \, dt \\\\=\frac{1}{2} [s]^{16}_0[t]^0_{-5}\\\\=\frac{1}{2} (16)(5)\\\\=40[/tex]
The bar graph below shows the number of aluminum cans collected by students in the month of October. How many cans did seigi and Ariel collect together
Answer:
1 2 3 4 5 6 7 8 9 10 bars are there
A group of dancers raised some money for a charity here is some information about the money raised
One of the dancers is chosen at random to give the money raised to the charity
What is the probability that this dancer raised less then £10
Answer:
19/30
Step-by-step explanation:
out of 60 people 38 dancers earned less than 10, so the fraction is 38/60 and simplified its 19/30
How many decimal places are in the product of the expression below?
256
x142
one
two
three
four
Answer:
36352.0
Step-by-step explanation:
For 256x142 = 36352.0
There is none actually
Triangle PQR is similar to triangle FGH.
Solve for n.
QP:10.5
QR:9
RP:6
GF:7
HF:4
GH:n
Answer:
n = 6
Step-by-step explanation:
See attachment for diagram
Triangle PQR is similar to triangle FGH.
Similar triangles are similar in shape but different in size.
The ratio of their corresponding sides are equal.
QP=10.5
QR=9
RP=6
GF=7
HF=4
GH=n
(Hypotenuse in ∆PQR)/ (hypothenuse in ∆FGH)
=(Adjacent in ∆PQR)/(adjacent in ∆FGH)
= 6/4 = 9/n
Cross multiply
6×n = 9×4
6n = 36
n = 36/6
n = 6
Therefore ratio of their corresponding sides = 3/2
Sparkle Cleaners uses 2/3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week?
Answer: 2/9th of a bottle
Step-by-step explanation:
2/3 of a jug = 3 weeks
1 week =( 1 x 2/3) / 3
= 2/3 x 1/3 = 2/9
They use 2/9 of a jug of window cleaner in 1 week.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now it is given that,
Cleaner used = 2/3 of a jug
Number of weeks = 3
So, Cleaner used in 1 week = Cleaner used / Number of weeks
⇒ Cleaner used in 1 week = (2/3) / 3
⇒ Cleaner used in 1 week = 2/9 of a jug
Thus,they use 2/9 of a jug of window cleaner in 1 week.
To learn more about fractions:
brainly.com/question/445498
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Which is the closet to the volume of the concrete needed to fill the pillar?
Answer:
c) 21.4
Step-by-step explanation:
9.5 times 1.5 times 1.5 is 21.375 or 21.4 rounded
solve the equation 12x+6y=24 for x ? i need help
Answer:
x= -1/2y+2
Step-by-step explanation:
Let's solve for x.
12x+6y=24
Step 1: Add -6y to both sides.
12x+6y+−6y=24+−6y
12x=−6y+24
Step 2: Divide both sides by 12.
12x
12
=
−6y+24
12
x=
−1
2
y+2
Answer: x= -1/2y+2
Hope this helps.
Answer:
x=2−y/2
Step-by-step explanation:
please answer quick ! 6 9/10 - 2 2/9 = ?
Answer:
4 61/90
Step-by-step explanation:
6 - 2 = 4
9 / 10 - 2 / 9 = 61 / 90
which type of graph would you use to show the number of candy bars collected by each trick or treater in the neighborhood
Answer:
bar graph
Step-by-step explanation:
y axis = number of kids
X axis = types of candy bars
what is the solution for x^2 +14x +15
Step-by-step explanation:
the solution are
x = 1 or x = -15
x^2 + 14x - 15 =0
x^2 + 14x = 15
to write the left hand side as a perfect square we add 49 to both sides :
x^2 + 14x + 49 = 15 + 49
x^2 + 2.x.7 + 7^2 = 64
using the identity (a^2 + b^2) = a^2 + 2ab + b^2
(x + 7)^2 = 64
x + 7 = √64 or x + 7 = -√64
x = 8 - 7 or x = - 8 - 7
= 1 = - 15
What is the slope of the equation y-3=-4(x-5) ?
Answer:
m(slope)=-4
Step-by-step explanation:
the slope is the thing you see before x so in this case y-3=-4x+20 so the slope or m is -4.
The slope of the equation y - 3 = -4 ( x - 5 ) is -4.
Given,
y - 3 = -4 ( x - 5 )
We need to find the slope of this equation.
What is the equation of a line with a slope?The equation is given by:
y - b = m ( x - a)
Where (a, b) is a point that the line passes through and m = slope.
We have,
y - 3 = -4 ( x - 5 )
Here we see that the equation is in the form of y - b = m ( x - a).
Where,
(a, b) = (5, 3)
m = -4
We have,
Slope = m
m = -4
Thus the slope of the equation y - 3 = -4 ( x - 5 ) is -4.
Learn more about how to find slope from a graph here:
https://brainly.com/question/23164168
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If you were to roll one die, one time what is the probability it will land on a number other than 3?
Answer:
3
Step-by-step explanation:
Answer:
1/6 (16.667%)
Step-by-step explanation:
there is six sides on on the dice. So there is only one side of the dice that has the number 3. 1/6 is the probability.
Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
0을
o
Noo
100
Na
Question 3 (1 point)
What is the value of x in the equation 8+4 = 2(x - 1)?
a
11/2
b
13/2
c
5
d
7
Answer:
D. 7
Step-by-step explanation:
(8+4) = 2(x-1) multiply (x-1) by 2
(8+4) = 2x-2 add 8 and 4
12 = 2x-2 add 2 on both sides
14 = 2x divide both sides by 2
7 = x
Write the number pairs that relate the number of half dollar to the number of dimes
Answer:
0.10 + 0.10 + 0.10 + 0.10 + 0.10 equal to 5 dimes or a half of dollar.
Step-by-step explanation:
0.10 + 0.10 + 0.10 + 0.10 + 0.10 = 0.50 (half of a dollar)
if a binomial event has a probability of success of 0.5, how many successes would you expect out of 2000 trials
A.1000
B.600
C.1800
D.1400
Answer:
1000
Step-by-step explanation:
a binomial event only has two possible outcomes
P(success) = .5
Multiply the probability of success by the number of trials
.5*2000 =1000
What is the value of | -9 | ?!!!!
Answer:
9
Step-by-step explanation:
Step-by-step explanation:
|-9|=9
..
because inside | | numbers are always positive
Write the equation of the line, given the y- and x-intercepts:
y-intercept (0, 19), x-intercept (–9.5, 0)
Answer:
y=2x+19
Step-by-step explanation:
Slope: 0-19/-9.5-0=-19/-9.5=2
y-intercept: 19
Answer:
y=2x+19
Step-by-step explanation:
Please answer this correctly
Answer:
13
Step-by-step explanation:
Find the scale factor by 39 / 30
Take that times 10
1.3 x 10 = 13
Since the questions states these two shapes are "similar" the side will have identical scale factors.
Divide the longest side of the bigger shape to the smaller shape.
39 / 30 = 1.3
The scale factor is 1.3.
Now, multiply the shortest side if the smaller shape by the scale factor.
10 * 1.3 = 13
Therefore, the length of w is 13mm
Best of Luck!
Mr. Vectadore is buying two new cowboy hats. All
together the hats cost $75.12. The second hat costs
twice as much as the first hat. What is the price of the
more expensive hat?
Round to the nearest hundredth.
Answer:
$50.08
Step-by-step explanation:
Let's use x to represent the lesser expensive hat and 2x to represent the more expensive hat since the more expensive hat is twice the price.
So, our equation would be 2x + x = 75.12
We can combine them together to make 3x.
Then, we make the 3x equal to 75.12
3x = 75.12
Now, we solve it.
Divide both sides by 3 to solve for x.
75.12/3 = 25.04
x = 25.04
Lastly, plug it in for 2x to get the price of the more expensive hat.
2(25.04) = ?
2(25.04) = 50.08
Therefore, the price of the more expensive hat is $50.08
Milly measured a cereal box it was 2inches wide six inches long and three inches what is the volume
Answer:
2*6*3
Step-by-step explanation:
At the Boxer carnival, you can exchange 40 tickets for various assortments of
prizes. Some of those assortments are below. How many tickets does it take
to get a single tacky mirror?
1 goldfish, 2 tacky mirrors, 1 stuffed tiger
5 goldfish, 1 stuffed tiger
2 goldfish, 3 tacky mirrors
Answer:
g = number of tickets for goldfish
t = number of tickets for tacky mirrors
s = number of tickets for stuffed tiger
1g + 2t + 1s = 40
5g + + 1s = 40
2g + 3t = 40
using the second equatin we can find a value for s
1s = 40 -5g
now substitute in the first equation to get rid of s
1g + 2t + (40-5g) = 40
-4g + 2t = 0
now use this new equation with equation 3 and solve for one of the values
-4g + 2t = 0
2g + 3t = 40
multipy the second equation by 2 and then combine
-4g + 2t = 0
4g + 6t = 80
8t = 80
t = 10 (so it takes 10 tickets to get a takcy mirror)
2g + 3(10) = 40
2g = 10
g = 5 (five tickets to get a goldfish)
s = 40 -5(5)
s = 15 (fifteen tickets for a stuffed tiger)
1(5) + 2(10) + 1(15) (substitute back in the first equation)
5 + 20 + 15
40 it works!
A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.
If a single marble is pulled out of the bag, how many outcomes are in the sample space?
Answer:
10 outcomes
Step-by-step explanation:
The number of outcomes is the number of marbles in the bag since we are taking out one marble
4+2+1+3 = 10
There are 10 outcomes
Answer:
10 Thank you Person above me I knew the answer but I am saying thank you because my cousin is happy that you showed your answer to them and answered for them Have a good day or a good life hopefully life don´t do bad things in life
Step-by-step explanation:
Find the surface area of the cylinder. Round your answer to the nearest hundredth.
A. 569.26 in2
B. 724.34 in2
C. 795.45 in2
D. 1,707.77 in2
Answer:
C. 795.45 in^2
Step-by-step explanation:
The formula for the surface area of a cylinder is ...
SA = 2πr^2 +2πrh = 2πr(r +h)
For r=6 and h=15.1, the surface area is ...
SA = 2π(6)(6 +15.1) = π(12)(21.1) = 253.2π
SA ≈ 795.45 . . . . square inches
PLS PLS HELP FAST. Given an isosceles triangle with a leg length of 12. Determine the length of the hypotenuse.
Answer:
12*sqrt(3)
Step-by-step explanation:
since it is isosceles its angles are 45, 45, 90, therefore the hypotenuse is 12*sqrt(3).
What is the area of triangle QRS?
7 square units
9 square units
10 square units
13 square units
Answer:
A 7
Step-by-step explanation: