Complete Question
A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed.
1. What is the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed.
Answer:
The value is [tex]P(U) = 0.5091[/tex]
Step-by-step explanation:
From the question we are told that
The number of member is n = 11
The number of member who are in favor of the project is k = 7
The number of members who rejected the project is h = 4
Generally the number of way of selecting the first three member left out of the 11 members is mathematically represented as
[tex]F = ^n C _r[/tex]
Here r = 3 and C stand for combination , so using a combination calculator we have
[tex]F = ^{11} C _3 = 165[/tex]
Given that out of the first three members that left 2 of the members accepted the project i.e U = 2
The number of way of selecting the 2 members from the total 7 members that accepted the project is
[tex]G = ^{7} C _2[/tex]
=> [tex]G = 21[/tex]
Given that two members out of the first three accepted the project it means that the remaining one person rejected the project, the number of ways of selecting this one person from the 4 that rejected the project is mathematically represented as
[tex]U = ^4 C_1[/tex]
=> [tex]U = 4[/tex]
Generally the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed is mathematically represented as
[tex]P(U) = \frac{G * U}{F}[/tex]
[tex]P(U) = \frac{21 * 4}{165}[/tex]
[tex]P(U) = 0.5091[/tex]
what is the slope of the line
Answer:
The slope is -1/1 or just -1.
(When you need to plot the slope, you use -1/1 to use the strategy Rise/Run or Rise over Run.
If you look at the point (-3,1) From that point, you go down -1 and you run to the side for a positive 1.
Once you do that you'll land at (-2,0) and you can keep on repeating this and you'll see that it lands on the points on the line.
Hope this helps! Please feel free to ask any questions if needed! :)
Write an equation for the line graphed.
A) y = 2
B) y = 2x
C) y = -2x
D) y = 2x + 1
Answer:
the answer is "d" because the x region is negative 2 and the y region is a positive1
nova needs to determine the number of books that will fit into a box. if the box has the length of 18 inches and each book is 2/9 of an inch thick, which expression can be used to determine the number of books that will fit into the box
Answer:
First we know that each book is 2/9 inch thick
- The total length of the box is 18 inches
- And we can fill the box with x Amounts of 2/9 inch books as long as the total length DO NOT SURPASS 18 inches
Step-by-step explanation:
In which x is the total number of books
Answer:how does it go again
Step-by-step explanation:
pe pe po po pe pe pp po
The sum of 2 numbers is 25. The sum of their reciprocals os 1/4. Determine the two numbers.
Answer:
5, and 20
Step-by-step explanation:
5+20=25
reciprocal of 5 is 1/5 and reciprocal of 20 is 1/20 so 1/5=4/20 and 4/20 + 1/20 = 5/20. 5/20 = 1/4
9) It takes 7 minutes for Isabella to walk
around the gym track twice. At this
rate, how many times can she walk
around the track in a half hour?
Answer:
8 4/7
Step-by-step explanation:
Use a proportion.
Let the unknown number of laps for 30 minutes be x.
7 minutes is to 2 laps as 30 minutes is to x laps
7/2 = 30/x
Cross multiply.
7x = 2 * 30
7x = 60
x = 60/7
x = 8 4/7
Answer: 8 4/7
Isabella walks twice around the gym track in 7 minutes. She can do 60/7 laps of the track in a half hour if she continues moving at this pace.
What is the meaning of the term “laps”?
Running a lap is equivalent to making a full circle of a track during a race or while exercising while walking. the front portion of the human body, when seated, from the waist to the knees. the area of clothing that, while a person is sitting, covers the front of their body from the waist to their knees. a location, setting, or circumstance that promotes rest or nurturing: the lap of luxury.
Laps are being done to get a good workout. For beginners, 20–30 laps in 30 minutes is frequently an effective and reachable target. If you're more advanced, try to do 40 to 50 laps in the same amount of time, and aim for 60 or more.
Let x equal the undetermined number of laps for 30 minutes.
7 minutes equals 2 laps, while 30 minutes equals x laps.
[tex]\frac{7}{2} = \frac{30}{x}[/tex]
Cross multiply.
[tex]7x = 2 \times 30\\7x = 60\\x = \frac{60}{7}\\[/tex]
Therefore, Isabella can do 60/7 laps of the track in a half hour if she continues moving at this pace.
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select the answers below that are equivalent to 18/30
A.15/25
B.6/11
C.3/4
D.3/5
E. 9/15
Answer:
A, D ,E
Step-by-step explanation:
18/30
Divide the top and bottom by 6
3/5
A.15/25 Divide top and bottom by 5 = 3/5
B.6/11 cannot be simplified
C.3/4 cannot be simplified
D.3/5 cannot be simplified
E. 9/15 divide top and bottom by 3 = 3/5
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn, e, tomorrow if she works 10 hours at the same hourly rate.
How much will Rachel earn in 10 hours?
Answer:
$85
Step-by-step explanation:
Rachel will earn $85 because her hourly wage is $8.5.
Hope this helps! c:
Answer:
She would earn 85$
Step-by-step explanation:
If you divied 34 by 4 you get 8.5 then you times that by 10 you get 85.
Alta dove 9 meters below the ocean’s surface. She then dove 15 meters deeper. She then rose 19 and one-fourth meters. What was her position in relation to the surface of the water?
Answer: -4 3/4
Step-by-step explanation:
Above is the answer if you have a drop down menu, because I have a drop down menu.
Answer:
B
Step-by-step explanation:
i got it right
Henry's Jewelry Store receives a shipment of 500 jewelry pieces.At this rate.If Henry's Jewelry Store places an order for 5,500 jewelry pieces,how many should they expect to be damaged. They should expect blank pieces of jewelry to be damaged.
Answer:
11
Step-by-step explanation:
What is the value of -3² +(-4+7)(2)
A. -28
B. -3
C. 3
D. 15
The answer is B.
Have a good day :)
What is the slope of a line perpendicular to the line y= -4x + 16
Answer:
1/4
Step-by-step explanation:
The opposite inverse of a slope is the perpendicular slope.
y = -4x + 16
-4 is the regular slope, the opposite inverse is 1/4
[tex]y = \frac{1}{4} x + 16[/tex]
The ratio of boys to girls in Hebron’s Chorus is 2:7. Part A: If there are 8 boys, how many girls are there in Hebron’s Chorus? Show your work.
Answer:
let the no. of girls be x
now
2/7=8/x
or,2×x=7×8
or,2x=56
or,x=56÷2
or,x=28
so the no. of girls is 28
Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?
|x – 3| = 45; minimum angle: 42 degrees
|x – 3| = 45; minimum angle: 45 degrees
|x – 45| = 3; minimum angle: 42 degrees
|x – 45| = 3; minimum angle: 45 degrees
Answer: C |x – 45| = 3; minimum angle: 42 degrees
Step-by-step explanation:
The equation which can be used to determine the minimum and maximum optimal angles of launch and the minimum angle that is still optimal is |x – 45| = 3 and 42 degrees respectively.
What is an Angle?This is formed when two straight lines meet at a common endpoint and are also formed during intersection of planes.
In this scenario we were told the angle is within 3 degrees of 45 degrees which means the minimum angle is 45 degrees - 3 degrees = 42 degrees with the equation used to determine the minimum and maximum being |x – 45| = 3 as the maximum angle and deviation has to be present in the equation.
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The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing field is 344 yards, what are it’s dimensions?
Answer:
Hi There!
Your answer is:
Length = 116
Width = 56
Step-by-step explanation:
L= 4+ 2w
Width=w
perimeter formula
l+l+w+w= perimeter
Subsitute L for 4+2w
(4+2w)+(4+2w) + (w) + (w) = 344
8 +4w+w+w = 344
8+ 6w = 344
-8
6w = 336
/6
w= 56
PLUG BACK IN!
Length = 4+ 2w
Length = 4+ 2(56)
Length = 116
Width = 56
CHECK YOUR WORK
116+116+56+56= 344???
344 = 344 YES
HOPE THIS HELPS
Teddy wrote a four-digit number that is less than 5000 on the board. He used the digits 6, 3, 4, and 7. In his number 3 is next to 7, 6 is not next to 4, and 4 is not next to 3. What is Teddy’s number?
Answer:
6374
Step-by-step explanation:
Answer:
6374
Step-by-step explanation:
six not next to four.
three next to seven.
seven next to three.
four not next to three.
(I listed the numbers until one of them matched)
60 POINTS!!!
10. Which of the following tables represents a function where f(4) = 6 and f(−1) = −4 ?
A. x...
f of x...
zero... two....
four... six...
six... eight...
A.
B. x...
f of x...
negative one... negative four...
zero... zero...
two... eight...
B. , , ,
C. x...
f of x...
negative four... negative ten...
negative one... negative four...
six.... ten....
C. , ,
D.
Answer:
idek
Step-by-step explanation:
Respuesta de la expresión 5 + {4 * 6÷3+1+ [3-(4-8) + (3-2)] }
Answer:
Vota Trump
Step-by-step explanation:
Find the exact value of Cosine (alpha minus beta) given sine (alpha) = negative four-fifths= and cos (beta) minus StartFraction 5 Over 8 EndFraction = for α in Quadrant III and ß in Quadrant II.
Answer:
Actual answer is [tex]\frac{15-4\sqrt{39} }{40}[/tex]
Step-by-step explanation:
1) x- y=-2
4x - y = 1
Answer:
x=1 y=3
Step-by-step explanation
The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each lap that they swam during a one-week period. The three swimmers who raised the most money were Rita, John, and Rodell. Together they swam a total of 2125 laps. John swam three times as many laps as Rita, and Rodell swam 25 more laps than John. How many laps did each swimmer swim?
The number of laps covered by Rita, John, and Rodell will be 300, 900, and 925, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The three swimmers who collected the most cash were Rita (A), John (B), and Rodell (C). Together they swam a sum of 2125 laps. John swam threefold the number of laps as Rita, and Rodell swam 25 additional laps than John.
Then the equations are given as,
A + B + C = 2125 ...1
B = 3A ...2
C = 25 + B ...3
From equations 1, 2, and 3, then we have
B/3 + B + 25 + B = 2125
B/3 + B + B = 2100
(7/3)B = 2100
B = 2100 x 3 / 7
B = 900 laps
Then the value of A will be given as,
A = 900 / 3
A = 300
Then the value of C will be given as,
C = 900 + 25
C = 925
The number of laps covered by Rita, John, and Rodell will be 300, 900, and 925, respectively.
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John Paul gave the cashier $60 to pay for 8 bags of potatoes. The cashier gave him $24.32 in change. What is the cost in dollars and cents for each bag of potatoes?
Answer:
$4.46
Step-by-step explanation:
$60- 24.32= $35.68
So $35.68=8 bags of potatoes.
Then ÷8 to find 1 bag.
$35.68 ÷8 = $4.46
$4.46=1 BAG
What is the equation of the line that passes through the point (3,2) and has a slope of -2?
Answer:y=-2x+8
You have to plug it into the equation y-k=m(x-h) where k is the 2 of (3,2) and m is the slope and h is the 3 of (3,2)
A cell phone plan costs $30 per month for unlimited calling plus $10 per GB of data used. If Alejandro can only afford for his cell phone bill to be $60 a month, how many GB’s can he use in a month, maximum? Your answer will be a whole number. *
1 point
Answer:
3 GB
Step-by-step explanation:
If the cell phone plan cost $30 per month
then subtracting this amount from $60 we have
$60 - $30 = $30
it 1 GB costs $10
therefore dividing this amount with $30
we have
$30/$10 = 3
Alejandro can only afford 3GB per month.
DUE TODAY PLEASE HELP
Answer: 6. 113.398 7. 354.882 8. 4.82803
HOPE THIS HELPS!
Step-by-step explanation:
To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $53.95 , a hat costs $17.95 , and a pair of cleats costs $29.95 . What is the total cost for a team of 12 players?
Answer:
1222.2
explanation:
53.95 x 12 = 647.40
17.95 x 12 = 215.40
29.95 x 12 = 359.40
647.40 + 359.40 + 215.40 = 1222.2
The total cost for a team of 12 players as per given cost of different equipment's is equal to $1222.20.
To calculate the total cost for a team of 12 players,
Add up the costs of the required equipment for each player.
The equipment includes a glove, a hat, and a pair of cleats.
Cost of one glove = $53.95
Cost of one hat = $17.95
Cost of one pair of cleats = $29.95
Now, we need to calculate the total cost for each player by adding the costs of all three items:
Total cost per player = Cost of glove + Cost of hat + Cost of cleats
Total cost per player = $53.95 + $17.95 + $29.95
Total cost per player = $101.85
Finally, to find the total cost for a team of 12 players, multiply the total cost per player by the number of players:
Total cost for the team of 12 players = Total cost per player × Number of players
Total cost for the team of 12 players = $101.85 × 12
Total cost for the team of 12 players = $1222.20
Therefore, the total cost for a team of 12 players is $1222.20.
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Solve for value of E
Answer:
4e +5+21=90
4e+26=90
4e=64
e= 16
Step-by-step explanation:
This is a 90 degree angle (right angle), soo you the measures given would be equal to 90 degrees
1.first simplify the equation
2. subtract 26 from both sides
3. Now divide 4 from boht sides to leave the unknown variable alone
4. You are left with the answer, which is 16
I hope this helps!
What are the answers to 5,6,and 7
what is the product of 0.086 x 10 power 2
Answer:
The product is 8.6
Step-by-step explanation:
you move two decimal places to your right
Solve for p in the literal equation 7p + 6r= q
p=
Answer: x=94
Step-by-step explanation:
The anwser
A fish tank has black and white fish in the ratio of 2 to 6 as shown below:
2 blackfish and 6 white fish are shown
Which is another ratio that can describe the black to white fish? (1 point)
1 to 5
5 to1
1 to 3
3 to 1
Answer:
1 to 3 is the answer
Step-by-step explanation:
