F F F F F F F F F F F F F
Step-by-step explanation:F f
A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?
The number of groups that can be chosen from the team of 17 depends on
the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.Reasons:
The combination of n objects taking r at a time is given as follows
[tex]_nC_r = \dbinom{n}{r}[/tex]
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]
[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]
[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]
[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]
(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]
[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
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What number is 7 times as much
as 9?
Answer:
63
Step-by-step explanation:
9•7=63
What is 5.521 rounded to the nearest whole number?
Answer:
6
Step-by-step explanation:
If the first number (in this case, behind the decimal) is 5 or more, you round up. If it is 4 or less, you round down. since 2 and 1 are less than 4, you round down making them both 0. Then, you round up making the answer 6. I hope this makes sense! I wasn't entirely sure how to explain this.
solve pls brainliest
Answer:
For the first question, it's the third line, the second one after zero.
For the second question, it's the 7th line in total, the 6th one after zero.
Step-by-step explanation:
2. Identify the like terms in the expression -6 - 3x2 + 3x - 4x + 9x2.
Answer:
3x^2 and 9x^2, 3x and 4x
Step-by-step explanation:
George is baking a cake using 1/3 cups of milk for every 3/4 cups of flour. How much flour should he use if he has 2 cups of milk?
Answer:
4 and 1/2 cups of flour
Step-by-step explanation:
First, you need to divide 2 by 1/3, which will give you 6. Then multiply 6 by 3/4, which gives you 4 1/2. Hope this helped!
Help me or I will steal your caprisun.
Answer:
C and DStep-by-step explanation:
A. Incorrect as the directions are not opposite.B. Incorrect as - 40 - 10 = -50 m ≠ 0.C. Correct as the same amount is added and subtracted, resulting in zero.D. Correct as protons and electrons have opposite charges, their sum is neutral.- According to CTIA.org, there were 327.6 million cell phones in the U.S. in 2014. The U.S. population was approximately 317.9 million at that time. How many cell phones per capita were there in the U.S. in 2014? (Round to the nearest hundredth)
Answer:
1.03
Step-by-step explanation:
Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.
Answer:
1.03
Step-by-step explanation:
Each workbook is 3/8in thick. How many inches thick is a stack of 5 workbooks
Answer:
15/8 or 1 7/8
Step-by-step explanation:
Multiply the numerator by the number of workbooks (5)
You get 15/8.
Simplify
The length of 5 workbooks is 7 1/8 inch.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Thickness of workbook = 3/8 inch
Total workbooks = 5
So, the thickness of 5 workbooks
=5* 3/8
=15/8
=7 1/8 inch
Hence, the thickness of 5 workbooks is 7 1/8 inch.
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-1/3(4+z)=-5/6 I need answer ASAP
Answer:
-2/3
Step-by-step explanation:
:)
Answer:
z = - 1.5Step-by-step explanation:
Given equation:
-1/3(4 + z) = -5/6Multiply both sides by - 3 and simplify;
(-3)(-1/3(4 + z)) = (-3) (-5/6) 4 + z = 5/24 + z = 2.5z = 2.5 - 4z = - 1.51. In the end of semester examination, 32% students failed in Economics, Mathematics, 46%in Business, 12% in Economics and Mathematics, 9% Mathematics and Business, 10% in Economics and Business and 3% in all the three. Using Venn diagram, determine, i. Number of students that failed in exactly one course. ii. Number of students that failed in exactly two courses. iii. Number of students who passed in all the three courses. iv. Number of students who failed in at least one course.
(ii) 3% of students failed all three courses, 12% failed economics and mathematics, 9% in math and business, and 10% in econ and business. In other words, the students in these groups failed at least the two mentioned courses. Then 12% - 3% = 9% failed only econ and math but not business; 9% - 3% = 6% failed math and business but not econ; and 10% - 3% = 7% failed econ and business but not math. These groups are mutually exclusive, so the total percentage of students that failed exactly two courses is (ii) 9% + 6% + 7% = 22%.
32% failed econ, which means 32% - 12% - 10% + 3% = 13% failed only econ. Similarly, 46% failed business, so 46% - 9% - 10% + 3% = 30% failed only business. But we don't know how many students failed math, so we can't determine how many failed only math... And consequently we can't determine the proportion of students that make up the other categories.
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELPS ASAP PLS AND THANK U
Answer:
D)
Step-by-step explanation:
y = 12x.
A) x=8, so that y = 12(8) = 96. It's on the line
B) x = 10, so that y = 12(10) = 120. It's on the line
C) x = 15, so that y = 15(12) = 180. It's on the line
D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.
Can you guys help me out
Answer:
what grade are you in that requieres this type of math
Step-by-step explanation:
Alani has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h, for each hour over 40 h. 1. How much will Alani earn if she works: a. 37 hours?
Please i need this now
Answer:
356
Step-by-step explanation:
She will earn a total of $296.
We have - Alani who has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h for each hour over 40 h. How much will Alani earn if she works: a. 37 hours.
We have to determine - How much will Alani earn if she works for 37 hours.
If you earn $x per hour and you work for 30 hours, them calculate the amount of money you will earn.The amount of money you will earn will be = $30[tex]x[/tex].
According to question, we have -
Pay per hour = $8
Number of hours she work in a week = 40 hours
For working 37 hours, which is less than 40, she will receive an hourly wage of $8 only. Therefore -
$8 x 37 = $296
Hence, she will earn a total of $296.
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Chords and Arcs - Guided Practice
Dents
#2 - The radius of ON is 18, NK = 9, and mpe - 120. Find each measure.
N
X
E
D
Н
Type in your answer for each measure in each box. (DO NOT include any symbols or letters.)
A: MCE =
B. mZHEN = 30
C. mZHNE =
units
D: HN = 9
9
N
ch
Answer:
Step-by-step explanation:
A) 120 / 2 = 60°
B) 180 - 90 60 = 30°
C) 60° same as arc length GE in part A above
D) 9 units = Rsinθ = 18sin30
In a circle L, M, N are the points on the circle forming a triangle with LM = LN and mZMLN is 35' then what is m(arc LN)?
Answer:
145°Step-by-step explanation:
ΔLMN is isosceles with angle L being 35°.
Angle measure of M and N is same:
m∠M = m∠N = 1/2(180 - 35) = 72.5Arc measure is twice the intercepting angle, since the angle is not central:
mLN = 2*72.5 = 145a
A consultant earns a flat fee of $75 plus $50 per hour for a contracted job.
The table shows the consultant's earnings for the first four hours she works.
Hours 0 1 2 3 4
Money $75 $125 $175 $225 $275
The consultant has a 36 hour contract .how much will she earn
Step-by-step explanation:
y=75+50(36 hours)=1875
give me brainliest
Please help! The girls' gym teacher needs to purchase
15 softballs, 5 packages of tennis balls,
and 2 soccer balls. She plans to collect
$1 from each of her 15 students to help
pay for the balls. Write and evaluate an
expression to show how much more the
teacher will have to pay.
HELP ME!!!! MY HOMEWORK IS SOOO CONFUSING
i thing the answer is D the last chart
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
it is 9 centimeters
Step-by-step explanation:
it is a 1:1 ratio
Show that (1 + 2V3)2 = 13 +4V3
Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads and 2 3 tails. Both players know these probabilities. Player I knows which coin is fair and which is biased. He selects one of the coins and tosses it. The outcome of the toss is announced to II. Then II must guess whether I chose the fair or biased coin. If II is correct there is no payoff. If II is incorrect, she loses 1.
Required:
Draw the game tree. Be sure to indicate the information sets.
Answer:
Hi please make me brainly
Step-by-step explanation:
please
Now when the spending multiplier is same as the one calculated in Q 4c and if there is a decrease in government purchases by $50,000. Calculate the change in AD. (Show your work)
Will AD increase or decrease?
Answer:
a. The real GDP increases by $200,000.
a. The real GDP increases by $150,000.
Step-by-step explanation:
a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?
Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000
Therefore, the real GDP increases by $200,000.
a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?
Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000
Therefore, the real GDP increases by $150,000.
If3r + 5y = 13 and 6r + 7 y = 20, find the value of
Answer:
Step-by-step explanation:
PLEASEE I NEEEDDD HELPPPPPP
Answer:
make a chart and it will be easy for you
What is the length of BC?
A.7
B.12
C.13
D.17
E V60
F. V119
Answer:
BC = 13
Step-by-step explanation:
Pitagoras:
H^2= 5^2 + 12^2
H^2=25 + 144
H^2= 169
H= V 169 ---- square root
H= 13 -------BC
Answer: C. 13
Step-by-step explanation:
Using pythagoras ;
[tex]BC = \sqrt{5^{2}+12^{2} }[/tex]
[tex]BC=\sqrt{25 + 144}[/tex]
[tex]BC =\sqrt{169}[/tex]
[tex]BC= 13[/tex]
Please give me a brianliest answer
What prism is this?
Answer:
A trapezoid prism from the looks of it.
Step-by-step explanation:
Hope this helps!
PLZ HURRY IM TIMED and no silly answers
Malia split up the large container of salsa that she bought equally into 5 bowls to place around her house for the party. If each bowl contained 8.5 ounces of the salsa, which shows the correct equation and value of x, the total amount of salsa in the original container?
StartFraction x over 5 EndFraction = 8.5; x = 1.7 ounces
StartFraction x over 5 EndFraction = 8.5; x = 42.5 ounces
5 x = 8.5; x = 1.7 ounces
5 x = 8.5; x = 42.5 ounces
Step-by-step explanation:
I would say 5 x= 8.5; x = 42.5 ounces that's my guess
Solve each absolute value inequality. Graph the solution. 2 ≤ |x| − 8
Answer:
Step-by-step explanation:
The regular price of a skateboard is $74.99.
Find the sale price when the skateboard is reduced by:
a) 30% b) 25% c) 60% d) 50%
Calculate each sale price, including taxes of 13%.
Answer:
a)$62.2417
b)$65.9912
c)$39.7447
d)$47.2437
Step-by-step explanation:
a)100%-30%=70%
70%+13%=83%
83/100x74.99=62.2417
b)100%-25%=75%
75%+13%=88%
88/100x74.99=65.9912
c)100%-60%=40%
40+13=53
53/100x74.99=39.7447
d)100%-50%=50%
50+13=63%
63/100X74.99=47.2437
Hope this helps! Thanks.
