In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

Answers

Answer 1

Number of men = 7
Number of women = 8
Number of people to be selected = 6
Condition: Women must be majority

Options: 6 women, 0 men; 5 women, 1 man; 4 women, 2 men

Number of ways = [(8C6)*(7C0)]+[(8C5)*(7C1)]+[(8C4)*(7C2)] = 28+392+1470 = 1890 ways

Related Questions

Two trains leave stations 532 miles apart at the same time and travel toward each other. One train travels at 90 miles per hour while the other travels at 100 miles per hours. How long will it take for the two trains to meet?

Answers

The two trains will meet in 2.4 hours.

What is the distance?

Distance is defined as the product of speed and time.

We have been given that two trains depart from stations 532 miles apart at the same time and head in the opposite direction. The first train runs at 90 miles per hour, while the second at 100 miles per hour.

Let's assume x distance 90 mph train traveled

Then (532 - x) is the distance 100 mph train traveled

Travel time = distance/speed (equal in both directions)

⇒ x/90 = (532 -x)/100

⇒ 100x = 90× 532 - 90x

⇒ 100x + 90x = 47880

⇒ 190x = 47880

⇒ x = 47880/190

⇒ x = 252

So travel time = 252/90 = 2.4 hrs

Therefore, the two trains will meet in 2.4 hours.

Learn more about the distance here:

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Can someone please help me with this problem. I need help solving a and b

Answers

(a) A generic quadratic expression is often written
ax² +bx +c
Then the "a" and "b" in the expression -b/(2a) represent the coefficients of the squared term and the linear term, respectively. In your quadratic expression, the variable is "t", not "x", but that makes no difference. You have
a = -16
b = 96
Then the time (t) at the maximum height is
t = -b/(2a)
t = -96/(2(-16)) = 96/32 = 3

The ball is highest 3 seconds after being fired.

(b) Evaluating h for t=3, we get
h = -16*3² +96*3 +11
h = -144 +288 +11
h = 155

The maximum height of the ball is 155 ft.

Which of these is equal to sin(70°)? A) cos(110°) B) cos(160°) C) cos(20°) D) cos(70°)

Answers

sin β = cos (90-β)
sin (70⁰)= cos (90-70⁰)=cos (20⁰)
sin (70⁰)=cos (20⁰)

Answer:

[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]

Option C is correct.

Step-by-step explanation:

we have to choose the option for which the value is equals to sin(70°)

As in the first quadrant sine and cosine both are positive

[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]

hence, option C is correct.

Q #5 Solve the system by graphing

Answers

That first one is correct there is no solution since they are parallel.

We have the following system of equations:
(-1/3) x + y = -1
y = 4 + (1/3) x
Let's rewrite the system of equations:
y = (1/3) x - 1
y = (1/3) x + 4
We note that both lines have the same slope:
m = 1/3
Therefore, the lines are parallel.
The first line has a cut point with the y axis of:
(0, -1)
The second line has a cut point with the y axis of:
(0, 4)
Like the lines are parallel, the system has no solution.
Answer:
The system of equations has no solution.

Hey can you please help me posted picture of question

Answers

3 transformations are applied to F(x)

1) Multiplication by -1.
This implies F(x) is flipped over x-axis

2) Multiplication by 1/3
This implies F(x) is compressed vertically

3) Addition of 4 to x.
This implies F(x) is shifted by 4 units to left.

Thus, G(x) is obtained from F(x) by flipping it across x-axes, compressing it vertically and shifting it towards left.

Thus, option C is the correct answer

Determine if the function is an even function, an odd function or neither. y=-5x^(2)-2x+6

Answers

By definition we have:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
For y = -5x ^ (2) -2x + 6 we have:
f (-x) = - 5 (-x) ^ (2) -2 (-x) +6
f (-x) = - 5x ^ (2) + 2x + 6
Answer:
the function is neither

Answer:

Step-by-step explanation:

There is a game at the carnival that costs $20 to play. There are two outcomes: either you win $100 , or you lose. To play you roll a die. If a six appears you win; all other rolls you lose. if 1000 people played this game during one afternoon what would you expect to be the outcome?

A. the game earns $3330

B. the game earns $1660

C. the game loses $3330

D. the game loses $1660

Answers

Outcome on winning = $100 - $20 = $80
Outcome on losing = $20

Probability of winning = 1/6
Probability of losing = 5/6

Expected Value = 1/6 (80) +5/6(-20) = -3.333

This shows on average from each game, the game earns $ 3.333.

So, if 1000 such games are played, the game will earn 1000 x 3.33 = $3330

So, the answer to this question is option A

Correct answer is Option(A) . The game earns $3330

Carnival Game Expected Outcome

To determine the expected outcome, we first need to calculate the expected value of playing this game once.

The cost to play is $20. If a six is rolled, the player wins $100; otherwise, they lose their $20.

Calculations:

Probability of rolling a six = 1/6Probability of not rolling a six (1, 2, 3, 4, or 5) = 5/6

Expected value (EV) for one game:

EV = (1/6 x ($100 - $20)) + (5/6 x (-$20))EV = (1/6 x $80) + (5/6 x -$20)EV = $80/6 - $100/6EV = -$20/6EV ≈ -$3.33

This means that on average, each player loses approximately $3.33 per game.

Outcome for 1000 Players

If 1000 people play the game, the total expected loss for the players will be:

Total Expected Loss = 1000 x EVTotal Expected Loss ≈ 1000 x (-$3.33) = -$3330

Therefore, the game earns approximately $3330.

one day a store sold 12 sweatshirts white one cost $9.95 and yellow ones cost $12.50. In all 147.45 worth of sweatshirts were sold how many of each color were sold?

Answers

x= # of white sweatshirts
y= # of yellow sweatshirts

STEP 1:
set up quantity and cost equations

QUANTITY EQUATION
x + y= 12

COST EQUATION
$9.95x + $12.50y= $147.45

STEP 2:
solve for one variable in quantity equation

x + y= 12
subtract y from both sides

x= 12 - y

STEP 3:
substitute x value in step 2 in cost equation

$9.95x + $12.50y= $147.45
9.95(12 - y) + 12.50y= 147.45

multiply 9.95 by parentheses
(9.95*12) + (9.95*-y) + 12.50y= 147.45

119.40 - 9.95y + 12.50y= 147.45
combine like terms

119.40 + 2.55y= 147.45
subtract 119.40 from both sides

2.55y= 28.05
divide both sides by 2.55

y= 11 yellow

STEP 4:
substitute step 3 x value in either equation

x + y= 12
x + 11= 12
x= 1 white

CHECK:
$9.95x + $12.50y= $147.45
9.95(1) + 12.50(11)= 147.45
9.95 + 137.50= 147.45
147.45= 147.45

ANSWER: 1 white sweatshirt and 11 yellow sweatshirts were sold.

Hope this helps! :)

Booker own 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 video games. How many more video games do he have room for

Answers

Booker has room for 35 more video games since his 3 shelves (which can hold 40 games each) holds a total of 120. 120-85 = 35

35. Two shelves hold 80. And then the last five can go on the third. That means the third shelf can hold 35 more games

a man owned 75 shares of stock worth $50 each the corporation declared a dividend of 8% payable in stock how many shares did he then own

Answers

Final answer:

After receiving an 8% stock dividend on his initial 75 shares, the man will own a total of 81 shares.

Explanation:

The question is asking how many shares the man will own after a corporation where he holds stock declared a dividend payable in stock. The man initially owned 75 shares of stock, each worth $50, and the corporation declared an 8% dividend. To find out how many additional shares he receives as a dividend, we calculate 8% of his 75 shares:

Additional shares = 8% of 75 = 0.08 × 75 = 6 shares.

The man will then own his original 75 shares plus the 6 additional shares, for a total of:

Total shares owned = 75 + 6 = 81 shares.

-4 log8 x - 2 = 6
Round to the nearest ten - thousandth

Answers

-4 log8 x - 2 = 6

log8 x - 2 = 6/-4 = -3/2

log(x-2)/log8 = -3/2 ; log8 = 0.903089987
log(x-2)/0.903089987= -3/2
log(x-2) = -1.35463498

10 ^ -1.35463498 = x-2

x = 2.044194174

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.

Answers

Putting into diagram the information provided. The triangle formed is a right triangle. (Find Attached).

We are given the length of the ladder and the distance of the base of the ladder from the wall. With that we can solve for the height of the triangle as well as the angle of inclination wrt to the floor and foot of the ladder or the wall to the tip of the ladder.

Pythagorean's theorem provides for the following formula

Square of hypotenuse (longest side of the triangle) equals the sum of the squares of the two other sides for right triangles.

Thus
Length of ladder being the hypotenuse we have below equation
Hypotenuse = 12
Distance from the base to the foot of ladder = 1 foot/feet
height = ?

12² = 1² + h²
h = √144-1
h=√143

Solving for inclination with respect to wall to tip of the ladder we can use rule of sine for right triangle

sineФ = opposite side / hypotenuse
sineФ = 1/12 = 0.083333
Ф = sin^-1 or inverse sine of 0.083333
Ф = 4.78017268 degrees

Note : If the distance between the base is not interpreted correctly, just change the value and plugin to the equation to get the result.

Answer:

A,B,D,E

Step-by-step explanation:

did it on edge

what is the value of y /2/4/16/20

Answers

I think it's 4. Could be wrong, probably am.

In a family with 8 children, excluding multiple births, what is the probability of having 7 boys and 1 girl, in any order? assume that a boy is as likely as a girl at each birth

Answers

there is a 7/8 chance there will be boys and a 1/8 chance there will be a girl

Final answer:

The probability of having 7 boys and 1 girl in a family with 8 children is 1/128.

Explanation:

To find the probability of having 7 boys and 1 girl in a family with 8 children, we can use the concept of combinations. There are 8 children in total, and we want to choose 7 boys and 1 girl from them. The probability of having a boy or a girl at each birth is 50%, so we can use the binomial coefficient to calculate the probability. The formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n is the total number of children and k is the number of boys we want. Plugging in the values, we get C(8, 7) = 8! / (7!(8-7)!) = 8. Therefore, the probability of having 7 boys and 1 girl in any order in a family with 8 children is 8 / 2^8 = 1 / 128.

Logarithmic form x^19 = y

Answers

To solve the problem given in the figure attached, you must apply the proccedure shown below:

1. You have the following expression given in the problem:

x^19 = y

2. By definition, you have:

logb(x)=y
b^y=x

3. Therefore, you have:

x^19 = y
logx(y)=19

4. Then, as you can see, the answer is: logx(y)=19

log properties or log transformation is;

b ^ x = a , then to solve for the exponent x, log b a = x or read as log a base b = x.

x^19 = y

x = b
a = y
x = 19

log x y = 19 or log y base x = 19

*Please help, will mark correct answer as brainliest*
What is the formula for finding a break-even point?

Answers

The break-even point formula is calculated by dividing the total fixed costs of production by the price per unit less the variable costs to produce the product.

Break-even point in units =
Fixed costs/( Sales price per unit - Variable cost per unit )

Break-even point in Dollars = Break-even point in units * Sales price per unit

Answer:

break even point=(0.01)(# of points)(P)/monthly savings

Step-by-step explanation:

ap3x

What is the y-intercept of the quadratic function fx) (x- 6)(x-2)?

Answers

Option 1
To find the y-intercept of a quadratic that is in factor formed follow the steps below:

First take the factor form and put it into standard quadratic form
Standard quadratic form:
[tex]ax^2 + bx + c[/tex]

To put the the factor form of a qudratic into standard form, we use the foil method

(x-6)(x-2) = [tex]x^2 - 8x +12[/tex]

Now to find the y-intercept, input 0 where the x is located:

[tex]f(x) = x^2 - 8x +12[/tex]
[tex]f(0) = 0^2 - 8(0) +12[/tex]
[tex]f(0) = 12[/tex]
y-intercept = (0,12)

Why did I use 0? Remember the y-intercept is where the line crosses the y axis so this means the x value of the y intercept is always = 0. Also, not, to find the y-intercept, you could of just multiplied the 6 and 2 in the factored form to get the 12 and since you know that the x is always 0 at the y-intercept, you know that the y-intercept is at (0,12)

Option 2
Input 0 for x in f(x) = (x-6)(x-2)
f(x) = (x-6)(x-2)
f(0) = (0 - 6)(0 - 2)
f(0) = (6)(2) = 12
x = 0
f(0) = y = 12
y-intercept = (0,12)

Answer:

The answer is B just took the test

Step-by-step explanation:

Help with this math question please

Answers

51. The area of the rectangle is lw. The triangle's base and height are both w, so its area is 1/2 (w)^2. The total area will be lw + (1/2)w^2, which is choice A.
52. The best answer is G. This is a circle of diameter 10 in, so 10 in is the longest dimension, and you would not be able to cut a 2-in wide section that is 10 in long since the circle immediately gets smaller when you move away from the diameter.

hey can you please help me posted picture of question

Answers

Hey there :)

Now, we need to find how many solutions the nonlinear system of equations graphed has

The points where these given graphs intersect will be the number of solutions.

We can see on the equations graphed that 3 points are where they intersect

[tex]\boxed {Therefore \ your \ answer \ will \ be \ option \ A }[/tex]

your drawer contains 6 black socks and 8 white socks. what is the probability that both socks are black

Answers

[tex] \displaystyle
|\Omega|=\binom{14}{2}=\dfrac{14!}{2!12!}=\dfrac{13\cdot14}{2}=91\\
|A|=\binom{6}{2}=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15\\\\
P(A)=\dfrac{15}{91}\approx16\% [/tex]

Use a net to find the surface area of the prism.

•213 m^2
•426 m^2
•336 m^2
•306 m^2

Answers

The surface area of the prism will be given by:
SA=2(L×W)+2(L×H)+2(H×W)
SA=2(12×5)+2(12×9)+2(5×9)
SA=120+216+90
SA=426m²

Answer: 426m²

The endpoints of a line segments are at the coordinates (-6,3,4) and (4,-1,2) what is the midpoint of the segment

Answers

Answer:(-1,1,3)

Explanation:

The coordinates of the mid point are calculated by dividing the sum of each pair of corresponding coordinates by 2.

This is how you calculate the mid of each coordinate separately:

1) x-coordinate:

mid x-coordinate = (- 6 + 4) / 2 = -2 / 2 = - 1

2) y-coordinate

mid y-coordinate = (3 - 1) / 2 = 2 / 2 = 1

3) z-coordinate

mid z-coordinate = (4 + 2) / 2 = 6 / 2 = 3

So, the midpoint is (-1, 1 , 3)

Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.

Answers

First, let's subtract the whole pool by the water currently in to find the water needed to fill it:
4500 - 1500 = 3000
Because we need to represent an inequality:
30m = 3000
Divide both by 30:
m = 100
It will take 100 minutes

Answer:

Inequality is m ≤ 1000

Step-by-step explanation:

Capacity of the pool to hold the maximum water is = 4500 gallons of water.

Pool is already having 1500 gallons of water so remaining volume of the pool that can be filled is = 4500 - 1500 = 3000 gallons

Marcus begins to add 30 gallons water per minute and it takes "m" minutes to fill the remaining volume.

So amount of water required = 30m gallons

There is a condition that Marcus continues to add water without exceeding the maximum amount of water.

This means remaining amount "3m gallons" will be never cross the limit of "3000 gallons" of remaining volume of water.

Now we can form the inequality as 3m ≤ 3000

or m ≤ 1000

Therefore, answer is m ≤ 1000

Calculate the total budget and then fill in the missing percentages. You will use some of the answers given more than once. Total budget = Household Budget Item Percent % Amount $ Donations 1,620 Taxes 1,620 Food 3,510 Clothing 2,700 Housing 1,350 Transportation 675 Insurance 675 Savings 675 Recreation and miscellaneous 675

Answers

Total budget = $13,500

Donations = 12%

Taxes = 12%

Food = 26%

Clothing = 20%

Housing = 10%

and the rest are 5 %

Answer:

Step-by-step explanation:

To calculate the percentage of each expenses we use this formula :

[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex] × 100

Household Budget Items Amount ($) Percentage

Donations 1,620 12%

Taxes 1,620 12%

Food 3,510 26%

Clothing 2,700 20%

Housing 1,350 10%

Transportation 675 5%

Insurance 675 5%

Savings 675 5%

Recreation and

miscellaneous 675 5%

Total Budget 13,500 100%

Suppose u=⟨2,−2u=⟨2,−2⟩ and v=⟨6,2⟩v=⟨6,2⟩ are two vectors that form the sides of a parallelogram. then the lengths of the two diagonals of the parallelogram are

Answers

91.7
44.6
is the answer

Test the claim that mean gpa of a night student is significantly different than 2.1 at the 0.02 significance level

Answers

0.60. Is your answer have a nice day

Go to lesson page Problem If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip?

Answers

The probability of any particular sequence of N flips of a fair coin is 2^(-N).

Your probability of the given sequence of 3 coin flips is
2^-3 = 1/8

First if all, we know that the coin has two sides- head and tail

P(getting a head of the first flip):

1/2

P(getting a tail on the second flip):

1/2

P(getting a head on the third flip):

1/2

To find the final answer, take:

1/2×1/2×1/2=1/8

As a result, the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip is 1/8. Hope it help!

please help with 23 and show how to work it out

Answers

For this problem, you best start with calculating how many miles they drive in 1 hour, by dividing 192 by 4.5, which equals 42.666. You then multiply this by 3 to get the distance after 3 hours.

To prevent rounding errors, you can put this all in one equation:

[tex]\frac{192}{4.5} \times {3} =128[/tex]

So answer C looks like the right one.

What is the interquartile range for the data set?

Could you please double check my answer for me?

Answers

To solve this problem you must apply the proccedure shown below:

1- By definition, the formula for calculate the interquartile range is

Interquartile range=Q3-Q1

Where Q1 is the lower quartile and Q3 is the upper quartile.

2-Keeping this on mind, you have:

Interquartile range=Q3-Q1

Q3=245
Q1=201

Interquartile range=245-201
Interquartile range=44

Therefore, the answer is: 44

A copy machine makes 132 copies in 5 minutes and 30 seconds. How many copies does it make per minute?

Answers

24 copies per minute

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