Answer:
1) 4/35
2) 11/14
3) 5/6
Step-by-step explanation:
First find the number of selections possible.
[tex]\frac{10!}{(10-4)!4!} = 210[/tex]
There are 210 possible selections. Now we can determine the possibility for each group. For the first probability, since we only want one member from each committee, you would create a fraction by (group members in total / group member being extracted). For this instance, since its only one, we will do whole numbers. Multiply each other.
[tex]4*3*2*1=24[/tex]
The probability for each member to get selected from each kind is : [tex]24/210[/tex] or can be simplified to [tex]4/35[/tex].
The probability of (I assume) at least one administrator is slightly different. Separate our two selections, the other three and the administrator. Find the number of selections possible for the other three... 4+3+2 = 9 others.
Find the probability for both a administrator included and three others.
[tex]\frac{11}{3} * \frac{1}{1} \\\frac{11!}{(11-3)!3!} \\\\165[/tex]
[tex]\frac{165}{210} = \frac{11}{14}[/tex]
The probability for an administrator and the other three is 165/210 or 11/14.
For the last one, you will figure out what the probability is for no director and use that % to substract from 100.
4+2+1 = 7
Get selections possible.
[tex]\frac{7!}{(7-4)!4!} = 35[/tex]
Get probability of no director.
[tex]\frac{35}{210} = \frac{1}{6}[/tex]
Substract 1/6 from 100%
1 - 1/6 = 5/6
The probability of having at least one director is 5/6.
A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
Answer:
To find out which one is the better buy we have to find out what the unit price of each one is. To find a unit price you divide the ounce by the cost.
Step-by-step explanation:
5/90=18 cents
12/240=5 cents
the 12 ounce can is less per ounce so the 12 ounce can is the better buy.
how to graph y = x^2+3
Answer:
regular parabola but shifted up 3 on the y axis
Step-by-step explanation:
Tell whether the function shown by the table below is linear or nonlinear.
х
3
0
-3
1
2
2
7
3
12
4.
17
A linear
B. nonlinear
G
Use the graph to answer the question.
y
6
R
5
4
3-
2
1
O
3
What are the coordinates of point R on the graph? Choose numbers to move to the lines to answer the question,
5
6
0
1
2
Answer: 0,5
Step-by-step explanation:
Can someone help me with this question please and thank you
Answer:
The complete table will be:
x y
1 5
0.8 4
0.4 2
Step-by-step explanation:
Given rule is:
y = 5x
In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.
[tex]\frac{y}{5} = \frac{5x}{5}\\x = \frac{y}{5}[/tex]
Putting y = 5
[tex]x = \frac{y}{5}\\x = \frac{5}{5}\\x = 1[/tex]
Putting y = 4
[tex]x = \frac{y}{5}\\x = \frac{4}{5}\\x = 0.8[/tex]
Putting y = 2
[tex]x = \frac{2}{5}\\x = 0.4[/tex]
Hence,
The complete table will be:
x y
1 5
0.8 4
0.4 2
Complete the pattern. 1, 2, 4, 8, 16, __, __, __
Answer:
1,2,4,8,16,32,64,128
Step-by-step explanation:
You just multiply the number by two to get the next number in the pattern
Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings
Answer:
15/20 cups of cranberry juice
Step-by-step explanation:
3/5 cranberry juice makes 12
12/2=6
3/5= 0.3
6/2=3
0.3/2= 0.15
0.15 = 3/20
3/20 cranberry juice makes 3 servings.
add 3 and 12 to make 15 servings, add 3/5 and 3/20.
3/5= 12/20
12/20 + 3/20 = 15/20 cups of cranberry juice
You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y after x seconds.
Find the quadratic function y=ax^2+bx+c whose graph passes through the given points.
1 -> 339
3 -> 271
4 -> 189
Answer:
1
Step-by-step explanation:
The circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
Step-by-step explanation:
Circumference = 2pi r
440 = 2 *22\7 *r
70 = r
Area= pi r^2
Area= 22\7 *70*70
Area =15400
I need help?? Please help me and thank you thank
Answer:
1.672
Step-by-step explanation:
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours
Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two
Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.
[tex]2n=-12[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]n=-6[/tex]
an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for $ 2.95 per pound and s pounds of sugar for $0.72 per pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s
Answer:
1pound of granola= $3.25
g pound of granola=g*3.25
=3.25g$
1 pound of flour = 0.74$
f pound of flour = f*0.74
= 0.74f$
The expression to determine the total cost of buying the above items= (3.25g+0.74f)
Step-by-step explanation:
Find the value of 2x+y when x=4 and y3
Answer:
11
Step-by-step explanation:
Replace the values of x and y into the equation.
2(4) + 3 = 8 + 3
= 11
can u pls help me with this question
Answer:
I think is 2/9 but I may be wrong
What is the slope of the line in the graph?
PLEASE HURRY
Laura has 160 pounds of green beans at her vegetable stand. If she sells 10 pounds of green beans every hour, what is the percent decrease in green beans after 3 hours?
A
18.75%
B
81.25%
C
23.07%
D
16%
Given:
Laura has 160 pounds of green beans at her vegetable stand.
She sells 10 pounds of green beans every hour.
To find:
The percent decrease in green beans after 3 hours.
Solution:
We have,
Beans sold in 1 hour = 10 pounds
So, Beans sold in 3 hours = 30 pounds
Decrease in green beans after 3 hours is 30 pounds.
Now,
[tex]\%\text{Decrease}=\dfrac{\text{Decrease in green beans after 3 hours }}{\text{Initial amount of green beans}}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{30}{160}\times 100[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=\dfrac{300}{16}[/tex]
[tex]\%\text{Decrease in green beans after 3 hours}=18.75\%[/tex]
Therefore, the correct option is A.
Tell whether the triangles are similar.Explain.
Answer: 13. yes 14. no
Step-by-step explanation:
13. same angles sized down
14. different angles sized down
Mr. Vitorello spends 35% of his salary on rent. He makes $2,500 each month. How much does he spend on rent each month?
Answer: He spends 875 a month on rent.
Step-by-step explanation:
35 x 2500 = 87500
87500 / 100 = 875
Hope this helps :)
Answer:
He spends $10,500
Step-by-step explanation:
Since salary is yearly we multiply 2500 by 12 and we get 30000
And 35% of 30000 is 10500
What is the y-intercept when a line has a slope of 1/2 and
passes
through the point (2, -1)?
Answer:
-2
Step-by-step explanation:
y=ax+b
Put the numbers into that equation.
-1=1/2*2+b
Simplify:
-1=1+b
-1-1=b
-2=b
Hope this helped! :)
You deposit $600 in a account earning 5% interest compounded annually. How much will you have in the account in 15 years?
Answer:
$1050 in total including the interest.
Step-by-step explanation:
The answer is 1050 because 5% of 600 is 30 and 30 multiplied by 15 is 450, and 600 plus 450 is 1050
There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?
What is the independent variable of y=3.5x+2.8
Answer:its y and x = 6.3
Step-by-step explanation:
look
Convert 75 kilograms to pounds.
pounds
Answer:
165.34 pounds OR 165 lb
Step-by-step explanation:
If we find that the null hypothesis, Upper H Subscript 0 Baseline colon beta Subscript j Baseline equals 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:___________
Answer:
Remove the variable from the Model
Step-by-step explanation:
Normally, when considering which variable to keep and which one to drop when considering testing of the contribution of an individual regressor variable to the model, generally speaking we use one explanatory variable for between 10-15 observations.
Now, before we run our regression, we would need to run correlation analysis between all explanatory variables to detect if there's any multicollinearity, and also between the dependent variable and the regressors in order to determine the most important predictors to be included in the regression.
So after the analysis, for the null hypothesis not to be rejected, we will remove the variable from the Model.
What is the perimeter of this polygon?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwYkZOdjFTNENGM2w5NTZIbzhybUFJSFlheFNqdmRHMm5BaFpQMUJONnRQcUJobDZYM3AxY29yRFVwWFJWeXc5cU5GQWhDajdDZGN3YUpSYVRmNV8wUzV2LVhSZy54azBYdVdxSDBkeHYxQ0Fs?w=400&h=400
a
24 units
b
22 units
c
28 units
d
26 units
Answer:
I am pretty sure it is
B. 22 units
Step-by-step explanation:
Answer:
24 units.
Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.
Let me know of any other questions! :)
5x+2(x+6)
A.7x+6
B.7x^2+12
C.7x+12
D.7x(x+6)
HELPPP please dont skip
Answer:
B
Step-by-step explanation:
Trust
X3.1.PS-7
Question
A local little league has a total of 60 players, of whom 40% are right-handed. How many
right-handed players are there?