Answer:
1750
Step-by-step explanation:
So first we have to find out how much tax he pays which is 30% of 2,500=750. now we know how much tax he pays, we can subtract it from his salary: 2500-750=1750
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen. What is E[G]
This question is incomplete, the complete question is;
Two student council representatives are chosen at random from a group of 7 girls and 3 boys. Let G be the random variable denoting the number of girls chosen.
a) What is E[G] or range of G
b) Give the distribution over the random variable G
Answer:
a) E[G] is [ 0, 1 , 2 ]
b)
the distribution over the random variable G.
x P(x)
0 0.0667
1 0.4667
2 0.4667
Step-by-step explanation:
Given the data in the question;
Number to be chosen is 2
from 7 girls and 3 boys
a) range of G
number of girls can be; [ 0, 1 , 2 ]
Therefore, E[G] is [ 0, 1 , 2 ]
b) he distribution over the random variable G.
Distribution of the random variable G is Hypergeometric;
so
with P( G=g ) = P( getting g girls from 7 and 2-g boys from 3)
= (([tex]^7C_g[/tex]) × ([tex]^3C_{2-g[/tex])) / [tex]^{10}C_2[/tex]
now since, the range of G is [ 0, 1 , 2 ]
P( G=0 ) = (([tex]^7C_0[/tex]) × ([tex]^3C_{2[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(0!(7-0)!)) × (3!/(2!(3-2)!))] / (10!/(2!(10-2)!))
= [1 × 3] / 45 = 3/45 = 0.0667
P( G=1 ) = (([tex]^7C_1[/tex]) × ([tex]^3C_{1[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(1!(7-1)!)) × (3!/(1!(3-1)!))] / (10!/(2!(10-2)!))
= [ 7 × 3 ] / 45 = 21/45 = 0.4667
P( G=2 ) = (([tex]^7C_2[/tex]) × ([tex]^3C_{0[/tex])) / [tex]^{10}C_2[/tex]
= [(7!/(2!(7-2)!)) × (3!/(0!(3-0)!))] / (10!/(2!(10-2)!))
= [ 21 × 1 ] / 45 = 21/45 = 0.4667
Therefore, the distribution over the random variable G.
x P(x)
0 0.0667
1 0.4667
2 0.4667
What is the answer please help me no links
Answer:
D)75miles
Step-by-step explanation:
they were both traveling at 75 miles per hour and Kristin drove one hour more than Todd
D) 75 miles
Step-by-step explanation:
Todd drove 375 miles in 5 hours (75 mph). Kristin drove the same speed (75 mph) in 6 hours.
75 mph x 6 hours = 450 miles
450-375= 75 more miles
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.6 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 4.9 pounds/square inch with a variance of 0.81. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Decision Rule; Reject H₀ if t > 1.708
Step-by-step explanation:
Given the data in the question;
sample size n = 26
sample mean x' = 4.9
Variance = 0.81
standard deviation σ = √variance = √0.81 = 0.9
level of significance ∝ = 0.05
Claim;
Null hypothesis H₀ : μ = 4.6
Alternative hypothesis H₁ : μ > 4.6
Test Statistics;
Right tailed test
Now, decision rule for rejecting H₀;
degree of freedom df = n - 1 = 26 - 1 = 25
so, Right tailed test { > in H₁ }
Hence, Critical Value = [tex]t_{\alpha ,df[/tex] = [tex]t_{0.05, 25[/tex] = 1.708
Decision Rule; Reject H₀ if t > 1.708
Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flights are late because of ground operations. A full 10% of flights are late because of weather and ground operations. What is the joint probability that a flight arrives late because of weather and ground operations
Answer:
36% is the joint probability that a flight arrives late because of weather and ground operations
Step-by-step explanation:
Given
% of flight late because of weather = 0.75
% of flight late because of ground operation = 0.35
% of flight late because of both weather and ground operation = 0.10
The probability of joint probability that a flight arrives late because of weather and ground operations is equal to
p (A and B) + {P(A) * P(B)}
0.10 + (0.75 * 0.35)
0.36
or 36%
Answer:36%
Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.
A card is randomly selected from a deck of playing cards. Find the probability that it is a face card, given that a black card is drawn.
A. 3/13
B. 6/26
C. 26/52
D. 1/2
Answer 3/13
Step-by-step explanation:
There are 12 face cards, and 6 are black. Thus, the probability of choosing one would be 6/26, or 3/13
What is the slope intercept form of the equation below?
2x+5y=40
Oy= 52 - 20
Ox+y=5
y = 2 x + 4
Oy=+8
helpppppppppppp pleaseeeeeeeeeeeeew
Answer:
volume of cylinder = πr^2h
=π (2)^2 * 5
= π* 4*5
= 20π unit^3
or
= 3.14* 4*5 = 62.8 unit^3
PLEASEEE HELP I WILL MARK YOU BRAINIEST!!!
Answer:
26
Step-by-step explanation:
duh....
The angle measures of a triangle are shown in the
diagram.
What is the value of x?
FOR BRAINLIST!!
A rectangle measures 2 2/3 inches by 1 2/9 inches. What is its area?
Answer:
3.259259259259 in²
Step-by-step explanation:
Answer:
3 7/27
Step-by-step explanation:
Ok so first you do
2×1 = 2, then
2×2/9 = 4/9, then
1×2/3 = 2/3, then
2/3×2/9 = 4/27, then add all of those...
2+4/9+2/3+4/27= 3 7/27
Hope this helps!! :D
plzzzz help for brianly
Answer:
the answer is A
Step-by-step explanation:
What time is 11: 59 AM is it midday or midnight?
11:59 AM is midday not midnight
Help ASAP
Use the graph to find the solutions of – x2 - x + 4 = 0.
y У
2
Х
O
-A-2
-2
-4
and x =
Answer:
From the graph, we can see the parabola cuts the x-axis at two different points and those will be the solution of our equation.
solution of [tex]1/2x^{2} -x+4=0[/tex]
[tex]x=-4,2[/tex]
[tex]x_{1} =-4\\\\x_{2} =2[/tex]
[tex]-----------[/tex]
hope it helps...
have a great day!!
Muhammad spent $45 buying three pizzas and two orders of wings for his roommates. Each pizza cost twice as much as the wings +1 dollar what does one order of wings cost?
An aquarium is to be drained. The aquarium is shaped like a rectangular prism with length 25 in, width 19 in, and height 12 in. Suppose water is pumped out
of the aquarium at a rate of 475 in per minute. If the aquarium starts completely full, how many minutes does it take to empty the aquarium. ( NO LINKS)
9514 1404 393
Answer:
12 minutes
Step-by-step explanation:
The volume of the aquarium is ...
V = LWH
V = (25 in)(19 in)(12 in) = 5700 in³
The time required to empty it is given by ...
time = quantity/rate
time = (5700 in³)/(475 in³/min) = 12 min
It takes 12 minutes to empty the aquarium.
In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation.
How many ways are there to pick a subset of 3 different letters from the 26-letter alphabet?
a.
Combination; Subscript 23 Baseline C Subscript 3 Baseline = 1771
b.
Permutation; Subscript 23 Baseline P Subscript 3 Baseline = 10626
c.
Permutation; Subscript 26 Baseline P Subscript 3 Baseline = 15600
d.
Combination; Subscript 26 Baseline C Subscript 3 Baseline = 2600
Answer:
I'm not sure, but I put down B
Step-by-step explanation:
Simplify 3x2y4 x 2x6y
Answer:
(3 × 2x^8y^5) hope this helps
Which inequality can be used to find the domain of
Answer:
1/2 x -10 ≥ 0
Step-by-step explanation:
We know that a square root must have an answer that is greater that or equal to zero. The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero. To find the domain we solve that equation to determine the value of x.
1/2 x -10 ≥ 0
от
Background
14/15 -
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
a. Using only miles
b. Using a whole number of miles and a whole number of feet
Answer:
2.75 miles, 14520 feet
Step-by-step explanation:
11 miles/4=2.75
1 mile=5280 feet
2.75 miles=14520 feet
If F(x) = 5x – 7 and G(x) = -2x+9, what is F(G(x))?
A. -10x+38
B. 10x2 -59x+63
C. -10x2 +59x-63
D. -10x+23
Consider the system of differential equations
dx/dt= x+ y=1
dy/dt =1- x^2 +y^2
Required:
Sketch the x-nullcline, where solutions must travel vertically. Identify the regions in the plane where solutions will move toward the right, and where solutions move toward the right.
Answer:
Step-by-step explanation:
Given that:
the differential equations:
[tex]\dfrac{dx}{dt}= x+y = 1 \\ \\ \dfrac{dy}{dt}= 1-x^2+y^2[/tex]
For x-nullcline;
[tex]\implies \dfrac{dx}{dt} =0 \\ \\ \implies x+y-1[/tex]
From the image attached below, the sketch of the x-nullcline was carefully drawn and the regions were identified.
So, x-increases at the time when [tex]\dfrac{dx}{dt}>0[/tex]
[tex]\implies x+y -1 >0[/tex]
Thus, the solution move towards the right for x+y>1
Need help don’t understand thank you
Answer:
1: mean equals 17.417, median is 12.75, mode is 8.2, range is 33, the minimum is 8.2 the maximum is 41.2. The IQR is 16.55, the quartiles is q1: 8.95, q2: 12.75, q3 is 25.5, there are no outliers.
2: the best middle is 12.75 because the median is usually the middle number but if you orgainze the numbers there will be two but you will end up getting 12.75 as your median. take the two middle number add together then divide by 2 then that is your answer.
Step-by-step explanation:
GOOD LUCK
Bernie had 4 candy bars. He ate one of them and decided to split the rest with his 9 friends. what fraction of a candy bar did each friend get?
Answer: 1/3
Step-by-step explanation:
Each friend gets 1/3
1/3 / 9 = 3
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.
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Make sure that all words are spelled correctly.
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Find the lateral area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[? ] cm2
Answer:
314 cm^2
Step-by-step explanation:
(=^w^=)
A= 2*pi*r*h
A=2*pi*5*10
A=314.16 cm^2
Step-by-step explanation:
2×5×10=
10×10= 100 cm²
=100 cm²
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!
Answer:
C. Mushrooms
Step-by-step explanation:
Mushrooms are known to be decomposers, they break down nutrients.
PLEASE HELP ME ........
Answer:
I can´t see...
Step-by-step explanation:
Question 10 > Two skiers are 43.5 kilometers apart and head towards each other. They meet in 1.5 hours. If the second skier is 7 kilometers per hour faster the the other, find the speed of each skier? Distance || Rate || Time Slow Skier Fast Skier Total The slow skier travels at kilometers per hour. The fast skier travels at kilometers per hour. Question Help: Message instructor Submit Question
Answer:
The first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.
Step-by-step explanation:
Given that two skiers are 43.5 kilometers apart and head towards each other, and they meet in 1.5 hours, if the second skier is 7 kilometers per hour faster the other, to find the speed of each skier the following calculation must be performed:
43.5 / 1.5 = 29
29 - 7 = 22
2/22 = 11
11 x 1.5 + 18 x 1.5 = X
43.5 = X
Thus, the first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.
PLEASE HELP
2!/0!=
0
2
undefined
Answer:
2
Step-by-step explanation:
any expression divided by 1 remains the same
you can also calculate the factorial
find the area of the triangle by forming a parallelogram
!NO LINKS, NO FILES!
please :)