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]
Write the equation of a line that passes through the points (−3, 7) and (3, 3)
y=−2/3x+5
y=2/3x+1
y=−2/3x+9
y=2/3x+9
Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]
[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]
The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.
[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]
Now let's plug that to our equation.
[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]
Answer:[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.
what is the unit rate of Y= -10x
Answer:
"-10 units per unit increase in x"
Step-by-step explanation:
That "-10" is the rate of change: "-10 units per unit increase in x."
Can someone help me please
Answer:
reghfjkvbnerfnhdbetuigkjoghbnurhjeuiogwr4th
Step-by-step explanation:
which number is equivalent to 0.45 repeating ?
Answer: 5/11
Tip:
You can solve for these repeating fractions by putting the repeating digits over 9's!
For example, 0.33 repeating:
33/99 = 1/3
And in the case of your problem:
0.454545...
45/99 = 5/11 (simplify!)
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
6c2+2c4−c
Answer:
46;&74)474:&48&4:&48&
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
Is 835% less than 0.95
Answer:
no, 835% is not less than 0.95.
Step-by-step explanation:
as a percentage, 0.95 is 95%. 835% is greater than 95%. hope this helps.
Answer:
No
Step-by-step explanation:
835% as a decimal would be 8.35 and 0.95 is what you are comparing it to, so you could look at it's whole number and you see that it is bigger than zero so it is indubitably more than 0.95.
Hope this helps :)
Can you help me please
Answer:
pretty sure 8.5 inches
Step-by-step explanation:
Answer:
68 inches
Step-by-step explanation:
16 + 1 = 17
16 divided by 2 = 8
so 8 x 8 = 64
so that leaves one year- 4 inches
64+4=68
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?
Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2
A graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.
Answer: the answer is C. Gloria’s time was 0.5 minutes faster.
Step-by-step explanation: i just took the test
What is the Desmos Graphing App for Algebra and how do you use it. Is it a computer thing or do you download it on your phone?
Answer:
see below
Step-by-step explanation:
The Desmos graphing utility is available as an app for phone or tablet from the app stores for Android and Apple devices. It is available from the desmos web site by clicking on "Graphing Calculator" on the home page.
Attached is a screen-shot of the web version. Help can be found under the (?) button at upper right. I found the help to be useful when first starting or when trying to do something I haven't done before.
You can create an account, if you like, but that is not necessary to obtain all of the basic functionality.
A link for sharing a graph will be generated by clicking on the icon to its left. Graphs can also be saved for later reference, if you have an account. The link to a graph will work whether you have an account or not.
__
There are other desmos tools available, too, for general calculation, geometrical construction, and matrix manipulation. (I have not yet used those.)
_____
Desmos likes to use x and y for the independent and dependent variables, respectively. You can define something like h(t) = 5t+1 and it will graph it as though it were y=5x+1. When you click on an equation or graph, points of intersection with other graphs or with the axes will be highlighted. Clicking on those highlights will give their coordinates.
Equations don't need to be of the "y=" form. For example, you can use x^2+y^2=1 to make a unit circle. The usual math symbols work for keyboard input (* for multiplication; / for division; ^ for exponents). The tab or arrow keys move out of denominator or exponent fields. To make more complicated exponents, parentheses help.
There's so much more it can do. It is worthwhile to visit the on-line tutorial information.
What is the volume of a cube with one side being 16 feet ?
Answer:
Cube
Solve for volume
V=4096ft³
Step-by-step explanation:
MARK ME BRANILEST ✨
Answer:
Step-by-step explanation:
V=a3
v=163
v=4096 feet
Simplify (3-6i) (-5+ i)
Answer:
Simplifed using FOIL: -15+30t+(3-6t)i
Simplifed using distributive property: 15+30t+(3-6t)i
Step-by-step explanation:
solve this equation, and show work. worth 40 points.
Answer:
[tex]r=-3/5=-0.6[/tex]
Step-by-step explanation:
We have the equation:
[tex]6^{-3r}=6^{2r+3}[/tex]
Since their bases are the same, the exponents must be equivalent. So:
[tex]-3r=2r+3[/tex]
Solve for r, subtract 2r from both sides:
[tex]-5r=3[/tex]
Divide both sides by -5:
[tex]r=-3/5=-0.6[/tex]
So, the value of r is -3/5.
And we're done!
2
1
3
4
The statement “Angle 2 is congruent
to angle 4" is justified by the
a
b
Alternate Interior Angles Theorem
Definition of Linear Pair
Vertical Angles Theorem
Definition Corresponding Angles.
The statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
A mathematical proposition or assertion that has been proven to be true is known as a theorem.
According to this theorem, when two straight lines cross, they create two sets of linear pairs with matching angles. The adjacent angles created by the junction of these two lines are likewise said to be supplementary, or equivalent to 180 degrees.
It is given that,
∠2=∠4
From the diagram, it is observed that two straight lines cross, and they create two sets of linear pairs with matching angles as a result of the Vertical Angles Theorem angle 2 is congruent to angle 4.
Thus, the statement “Angle 2 is congruent to angle 4" is justified by the Vertical Angles Theorem. Option C is correct.
Learn more about the Theorem here:
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Alan had already read 12 books this year before joining a book club, and he plans to read 1
book every month now that he has joined. If Alan has read 19 books so far, how many
months has he been with his book club?
Respuesta:
Step-by-step explanation:
7 libros
12 - 19 ⇒ 7
Mr.Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds . find the average change in speed each second
Answer: 3mph/seconds
Step-by-step explanation:
Divide 30 by 10. 30mph/10seconds = 3mph/seconds
HURRY and answer the math
Answer:
D) y=3x+1
Step-by-step explanation:
If you fill in the numbers y=3x+1 is the equation that will always be true for the chart.
hope this helps
You bought 4 pizzas and paid $7.00 each and cut the pizza into 8 equal slices. You
then sell the slices for $1.75 each. How many pieces would you have to sell to to pay
for the original cost of the 4 pizzas?
Answer:
You would have to sell
16 slices to pay for the
original price of the 4
pizzas
Step-by-step explanation:
$7.00 a box so you would have to multiply to get to
full price. $7.00x4=$28.00 The full price is $28.00.
If you are selling the slices for $1.75 each you would
also have to divide to know how many slices to sell
to get back to $28.00. 28.00÷1.75=16. So you would
have to sell 16 slices to get back to the full price.
Hope this helps.
Have a nice day :)
Do you think you
give me brainliest
plz :)
Find the rate of change.
Answer:
2
Step-by-step explanation:
Because it goes up 1 and a half and over 1 which equals 2?
Solve -12t ≥-6
.......
Answer:
t=2
Step-by-step explanation:
A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
Answer: A raffle is being held to benefit the local animal shelter. They sell 903 tickets that do
not win any prize, 18 tickets that win a free adoption (valued at $20), and one ticket
that wins $171 worth of pet supplies and toys. If they are selling the tickets for $5
each, how much should the shelter expect to earn for each ticket sold?
Round to the nearest cent, as needed.
sorry if it appears messy!!!
Step-by-step explanation:
Have you ever heard someone ask a question that made you feel defensive or insecure? How might they have reframed that question?
Answer:
YEah it sucks
Step-by-step explanation:
Find the constant of proportionality (unit rate) for each set of values
profit per shirt sold
shirts: 5 10 15
profit: $7.50 $15.00 22.50
Answer: 1.5
Step-by-step explanation:
7.50/5 = 1.5
15/10 = 1.5
22.50/15 = 1.5
Answer:
$1.50
Step-by-step explanation:
To find the unit rate, we can divide the number of shirts to the profit that was made to find the unit cost per shirt.
7.50 / 5 = $1.50
15 / 10 = $1.50
22.50 / 15 = $1.50
Best of Luck!
Felix decides to establish a budget. He will spend $700 for rent, $325 for food, $420 for child care,
$182 for transportation, $300 for other expenses, and he will put the remainder in savings. If his
monthly take-home pay is $2025, find his savings.
Answer:
98$ in savings
Step-by-step explanation:
If you do all the spending combined you would do $700+$325=$1025 $420+$182=$602 add those = $1627+$300=$1927 if his monthly take-home pay is $2025 you would have to do $2025-$1927=$98 remanding.
which of the above objects is moving the fastest?
A. A
B. B
C. All 3 objects are moving at the same speed
D. C
Answer:
b is moving the fastest
Step-by-step explanation:
c looks like its closer and a looks like its faster but b has both so b is the fastest to get there
Answer:
the answer is A
Step-by-step explanation:
bc since object a has the line with the steepest positive slope object a is moving the fastest
Write an equation for the description.
A number x increased by 19 is 118.
Answer:
99
Step-by-step explanation:
99 + 19 = 118
Solve for p. 3/5(p - 3) = -4
Answer:
p = 3.6666(repeating)
Step-by-step explanation:
3/5(p-3)=-4
We simplify the equation to the form, which is simple to understand
3/5(p-3)=-4
Simplifying:
+ 0.6*(p-3)=-4
Reorder the terms in parentheses
+( + 0.6p-1.8)=-4
Remove unnecessary parentheses
+ 0.6p-1.8=-4
We move all terms containing p to the left and all other terms to the right.
+ 0.6p=-4+1.8
We simplify left and right side of the equation.
+ 0.6p=-2.2
We divide both sides of the equation by 0.6 to get p.
p=-3.66666666667
Four times a number add to 9 times the number is 65. What is the number?
Answer:
5
Step-by-step explanation:
Answer
Answer = 5
Step-by-step explanation:
amberlouise2
Ambitious
71 answers
3.6K people helped
4 X 5 = 20
9 X 5 = 45
20 + 45 = 65
HELP ASAP 30 PTS
determine the range of the following graph:
Answer:
[tex]-6\leq y[/tex]∠ 4
Step-by-step explanation:
range is the values for y: y can be (including) -6 all the way up to (not including) 4
Find the sum of the first 50 positive even integers.
The sum of the first 50 positive integers is 2550.
What is the sum of n even numbers?The sum of the n positive even integers is given by the formula below:-
S = n ( n + 1 )
n = number of the digits.
The sum of the 50 even positive integers will be calculated as:-
S = n ( n + 1 )
S = 50 ( 50 + 1 )
S = 2550
Therefore, the sum of the first 50 positive integers is 2550.
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estimate 0.047512968 to the nearest hundredth express your answer as a single digit times a power of 10
Answer:
Estimate: 0.05, Scientific Notation: 5*10^-2
Step-by-step explanation:
Using the rules of rounding, we get 0.05. Next, all we do is move the decimal place to the right, and count the amount of times we move it to the left, 2, so the exponent is -2