Answer:
[tex]\sigma (y_1-y_2)=39[/tex]
Step-by-step explanation:
From the question we are told that:
Urn 1 :2 Red, 3 Yellow
Urn 2:3 Red, 7 Yellow
Sample 1 [tex]n_1=75\ balls[/tex]
Sample 2 [tex]n_2=100\ balls[/tex]
Generally the Probability of Red ball drawn is mathematically given by
For Urn 1
[tex]P(R)_1=\frac{2}{5}[/tex]
[tex]P(R)_1=0.4[/tex]
For Urn 2
[tex]P(R)_1=\frac{3}{10}[/tex]
[tex]P(R)_1=0.3[/tex]
Generally the equation for Variance of two independent variables [tex]\sigma (y_1-y_2)[/tex] is mathematically given by
[tex]\sigma (y_1-y_2)=\sigma y_2 +(-1)^2 \sigma(x_1)[/tex]
Where red balls drawn from both Urn is Modeled
[tex]Urn_1\ is\ Modeled\ as (n_1=75,p_1=0.4)[/tex]
[tex]Urn_2\ is\ Modeled\ as\ (n_2=100,p_2=0.3)[/tex]
[tex]\sigma (y_1-y_2)=n_2 p_2(1_p_2)+n_1*p_1(1-p_1)[/tex]
[tex]\sigma (y_1-y_2)=100*0.3(1-0.3)+75*0.4(1-0.4)[/tex]
[tex]\sigma (y_1-y_2)=39[/tex]
Therefore the variance of the random variable defined as the number of red balls is
[tex]\sigma (y_1-y_2)=39[/tex]
100 students are interviewed to see which of biology, chemistry or physics they prefer.
39 of the students are girls. 21 of the girls like biology best.
16 of the boys prefer physics.
11 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
43% of the students prefer biology
Step-by-step explanation:
Among girls:
39 of the students are girls.
21 of the girls like biology best.
Boys:
100 - 39 = 61 are boys.
16 prefer physics
11 out of the 34 who prefer chemistry are girls, so 34 - 11 = 23 are boys.
61 - (16 + 23) = 22 prefer biology.
What percentage of the students prefer biology?
21 boys and 22 boys, that is, 43 students out of 100. So
43*100%/100 = 43%
43% of the students prefer biology
1. The amount of time Mr. Smith spends exercising each day is
approximately normally distributed with a mean of 30 minutes and a
standard deviation of 10 minutes. On approximately what percent of the
days in a year does Mr. Smith exercise for between 10 minutes and 40
minutes?
Answer:boy
Step-by-step explanation:boy
Mr. Smith exercises for between 10 and 40 minutes on 77.45 percent of the days in a year.
Given that his exercising time follows a normal distribution with a mean of 30 minutes and a standard deviation of 10 minutes.
Here we have to find the percentage of days in a year that Mr. Smith exercises for between 10 and 40 minutes,
First, we need to standardize the values of 10 and 40 minutes using the formula,
⇒ z = (x - μ) / σ
where x is the value we want to standardize,
μ is the mean,
And σ is the standard deviation.
For x = 10:
⇒ z = (10 - 30) / 10
= -2
For x = 40:
⇒ z = (40 - 30) / 10
= 1
Now, we need to find the probability of Mr. Smith exercising between -2 and 1 standard deviations from the mean.
We can use a standard normal distribution table or a calculator to find this probability.
Using a standard normal distribution table,
we can find the probability of z being between -2 and 1 is about 0.7745. This means that on approximately 77.45% of the days in a year, Mr. Smith exercises for between 10 and 40 minutes.
Therefore,
Mr. Smith exercises for between 10 and 40 minutes on approximately 77.45% of the days in a year.
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Which measurement could be a surface area measure?
24 km2
18 m3
63 oz.
12 mm
Convert the function from factored form to standard form by multiplying:
Answer:
x² + 3x - 10
Step-by-step explanation:
( x + 5 ) ( x - 2 )
→ Expand
x² + 5x - 2x - 10
→ Simplify
x² + 3x - 10
An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answer:
12, 13 ,14 ,15
Step-by-step explanation:
200x14=2,800
8,800-2,800=6,000
6,000/500=12
12+14=26
13+14=27
14+14=28
14+15=29
Can somebody tell me exactly what to put in the answer please
Answer:
I am sorry I don't know it, but once I find out I will tell you
Step-by-step explanation:
Answer:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
Step-by-step explanation:
Cylinder has no sharp points but cone as sharp edge.
27leejaey avatar
I hope that helps :D
John is asked to roll a fair number cube, numbered from one to six, and toss a balanced quarter simultaneously. What is the probability that he will roll a 2 and the quarter will come up tails?
Answer: 1/12 or 8.3%
Step-by-step explanation:
probability of a 2 on the cube: 1/6
probability of tails on the quarter: 1/2
1/6*1/2=1/12
1/12 or 8.33333% (round to 8.3%)
Help!!!!!!!!!!!!!!!!!!!!!
What is the perimeter of DEFG if D is located (1,2), E is located (2,6), F is located (6,7), G is located (5,3)?
Answer:
B.
Step-by-step explanation:
First find the lengths of the DE and DG
DG=
[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]
DE=
[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]
[tex] \sqrt{17} [/tex]
Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides
[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]
Solve for x.
188 – 12
16x + 8
x =
= [?]
Enter
No links will report
Answer:
10
Step-by-step explanation:
Angles 8x - 12 and 6x + 8 are adjacent angles.
Adjacent angles are equal.
8x - 12 = 6x + 8
8x - 6x = 8 + 12
2x = 20
x = 20 / 2
x = 10
Answer:
8x-12=6x+8
[corresponding angle]
8x-6x=12+8.
x=20/2
x=10
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
Bob makes three different silverware - spoons, forks and knives. Each unit (dozen) of spoon gives him a profit of $9, forks of $20 and knives of $17.50. He has 183 hours of machine time, 250 hours of labor and 185 pounds of steel. It takes him 4 hours of machine time, 4 hours of labor time and 3 pounds of steels to make one unit of spoons. Each unit of forks take 4 hours of machine time, 9 hours of labor time and 2 pounds of steel, while knives take 5 hours of machine time, 5 hours of labor and 4 pounds of steel. It is also found that he should make at least 16 units of forks in the process. The solution is
x1 = ________
x2 = ________
x3 = ________
with an objective value of ________
The resources that are used up are________
If it was decided that as many as 20 units of forks could be made instead of 16, how much would profit increase?
Answer:
Solution is:
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Step-by-step explanation:
From the problem statement we have:
Resources: machine time ( 183 h) labor (250 h) steel 185 (pounds)
Unit
Spoons 4 4 3
forks 4 9 2
knives5 5 5 4
Profit $ 9 20 17.5
Objective function z = 9*x₁ + 20*x₂ + 17.5 *x₃ to maximize
Subject to:
Availability of machine time : 183 h
4*x₁ + 4*x₂ + 5*x₃ ≤ 183
Availability of labor : 250 h
4*x₁ + 9*x₂ + 5*x₃ ≤ 250
Availability of steel : 185 pounds
3*x₁ + 2*x₂ + 4*x₃ ≤ 185
Requirement:
x₂ ≥ 16
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
After 6 iteration the solution using AtomZmath on-line solver
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Resources used:
Machine time: 16* 4 + 21*5 = 64 + 105 = 169
remains 183 - 169 = 14 h
Labor: 16*9 + 21* 5 = 144 + 105 = 249
remains 250 - 249 = 1 h
Steel : 16*2 + 21*4 = 32 + 84 = 116
remains 185 - 116 = 69 pounds.
If it is decided that 20 units of forks are to be made then
we will need 4*4 = 16 h of machine time
9*4 = 36 h of labor
2*4 = 8 pounds of steel
We can get that from abandom to make one unit of x₃ ??
No because as we said we need 36 hours of labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.
z we got is maximum
A rectangle has a length of (3x - 4) units and a width of (2x + 3) units,
What is the perimeter of the rectangle in terms of ?
A. (5x - 2) units
B. (5x + 14) units
C. (10x - 2) units
D. (10x + 14) units
Answer:
C. (10x - 2) units
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
A rectangle has a length of (3x - 4) units and a width of (2x + 3) units.
This means that [tex]l = 3x - 4, w = 2x + 3[/tex]
What is the perimeter of the rectangle in terms of x?
[tex]P = 2(l + w) = 2(3x - 4 + 2x + 3) = 2(5x - 1) = 10x - 2[/tex]
The correct answer is given by option C.
A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour
Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.
please help asap !!!!
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
Find the measure of arc BEF.
Given:
The diagram of a circle.
[tex]m\angle BPV=124^\circ ,m\angle VPE=30^\circ ,m\angle EPF=76^\circ, m\angle FPD=48^\circ[/tex].
To find:
The measure of arc BEF.
Solution:
The measure of central angle is equal to the measure of corresponding arc.
So, in the given figure,
[tex]n(arcBV)=124^\circ ,m(arcVE)=30^\circ ,m(arcEF)=76^\circ, m(arcFD)=48^\circ[/tex]
Now,
[tex]m(arcBEF)=m(arcBV)+m(arcVE)+m(arcEF)[/tex]
[tex]m(arcBEF)=124^\circ +30^\circ+76^\circ[/tex]
[tex]m(arcBEF)=230^\circ[/tex]
Therefore, the measure of arc BEF is 230 degrees.
In the image, two circles are centered at A. The circle containing was dilated to produce the circle containing B!
What is the scale factor of the
dilation?
O A. 1
OB. 2
OC. 0.5
OD.
-0.5
The antisymmetric exchange interaction of two electron spins σ1 and σ2 is given by Hamiltonian operator H = A · (σ1 × σ2),Furthermore, the direct product of two single spin subspaces is meant, so that the resulting Hilbert space of spins is a 4x4 matrix. Is the square of the total spin of two electrons conserved?
Answer:
Yes the square of the total spin of two electrons is conserved ( s^2)
Step-by-step explanation:
using the Hamiltonian operator H = A · (σ1 × σ2)
S = ( S1 + S2 )
S^2 = S²₁ + S²₂ + 2S₂ . S₂ ( apply the equation of time evolution )
Attached below is the detailed solution
The standard deviation of SAT scores for students at a particular Ivy League college is 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 26 points.
(a) Raina wants to use a 90% condence interval. How large a sample should she collect?
(b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning.
(1) smaller since Luke has a higher level of confidence in his results than Raina
(2) smaller because higher degrees of confidence require smaller margins of error
(3) larger higher degrees of confidence require larger margins of error
(c) Calculate the minimum required sample size for Luke.
Answer:
A
Step-by-step explanation:
neeeeeeeeeeeeed help
Answer:
[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}
[/tex]
D. 34 lakh
The table shows the number of words a
person types for different amounts of
time. What is the rate of words typed per
minute?
Minutes
3 5 9
Words Typed 105 175 315
A 29 words per minute
B 35 words per minute
C 70 words per minute
Pleaaase helpppp I will give u a brainly
ヾ(•ω•`)oヾ(•ω•`)≡(￣ ‘i ￣;)＞︿＜(╬▔皿▔)╯<( ￣^￣)(θ(θ☆( >_<(╬▔皿▔)╯(╬▔皿▔)╯(╬▔皿▔)╯o((⊙﹏⊙))o.(⊙ˍ⊙)(。_。)(。_。)(。_。)(。_)oof
Answer:
A
Step-by-step explanation:
Answer:
Don't agree with 1 and 2, agree with 3
Step-by-step explanation:
1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.
2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.
3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.
(3m^0)^3
A. 27cm3
B. 27
Voters in a community are considering a bond issue for a new school. The building plan and the projected increase in property taxes have been presented at several public meetings. With voting day just a few weeks away, Tasha is interested in determining whether the population of about 5,000 voters supports the bond issue. Describe in two to three sentences the best way for Tasha to sample the population so that she can conduct a survey.
Answer:
do you go gca too
Step-by-step explanation:
The best way to sample the population so that she can conduct a survey is to conduct a random sampling
How to determine the best way?From the question, we have the population to be:
Population = 5000
In order to conduct a survey, Tasha must carry out a random sampling by using the following steps
Set a small size of interval (say 5)Ask every other 5 (or the chosen size) people present at the meeting about the vote preference.The above is called a random sampling technique
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g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
Y=5(x+4)(x-3)
PLEASE HELP ASAP
Answer:
-4, 3
Step-by-step explanation:
To find x intercepts, set y equal to 0;
0 = 5(x+4)(x-3); when x = -4 or x = 3, y will be zero (these are the x intercepts),
URGENT Give the hourly wage equivalent to $20,800 a year
Answer:
$10.67
Step-by-step explanation:
If you made 20,800 a year, your hourly wage would be $10.67
Answer:
The hourly wage is $56.98
Step-by-step explanation:
20,800/365 equals 56.98
f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).