In how many ways can a committee of three men and three women be formed from a group of eight men and seven women

Answer:

its A

Step-by-step explanation:

The solution is, the correct probability distribution is 1/16.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

Given that,  

spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as

S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}.

If the random variable is “yellow (Y),” let us first find the values that Y can take.

From the sample space given above, we find that Y can take only 3 values 0,1,2

In the sample space of 16 entries, Y occurs 0 times in 9 times

1 time in 6 times and 2 times 1 time

Hence probability = no of favouable outcomes/number in sample space

So

P(Y=0) = 9/16

P(Y=1) = 6/16 = 3/8

P(Y=2) = 1/16

Hence, The solution is, the correct probability distribution is 1/16.

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Answer:

Step-by-step explanation:

It is assumed you need to find the area of the figure.

The figure comprises of a rectangle with sides of 6 in x 4 in and semicircle with the diameter of 6 in.

The area of the figure:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{10}{6}\rightarrow \dfrac{10\div2}{6\div2}\rightarrow \bf \dfrac{5}{3} \rightarrow 1\dfrac{2}{3}}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{18}{6}\rightarrow\dfrac{18\div3}{6\div3}\rightarrow \bf \dfrac{6}{2}\rightarrow \dfrac{3}{1}\rightarrow 3}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{15}{6}\rightarrow \dfrac{15\div3}{6\div3}\rightarrow\bf \dfrac{5}{2}\rightarrow 2 \dfrac{1}{2}}}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: 4/41?

Step-by-step explanation:

Is that what you wanted?

Or do you need it as a percentage?

Answer:

x=29

Step-by-step explanation:

We know y is 16. We can write 16 instead of y in the equation.

y=x-13

16=x-13

Now we can add 13 to both sides of the equation.

16+13=x-13+13

29=x

x is equal to 29.

Answer:

x = 29

Step-by-step explanation:

since y = 16

16 = x -13

Add 13 to both sides of the equation

16 + 13=x-13+13

Simplify

x = 29

[RevyBreeze]

Answer:

Step-by-step explanation:

First of all, you add 1/3 and 4/5, so you get:

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:

Since 119 and 15 don't have a common factor, so they can't be simplified.

So, the answer is 119/15.

Hope this Helps! :D

We have that the  workdone in stretching natural length to is mathematically given as

W=9/2lbft

Question Parameters:

Generally the Hookes equation for the Force   is mathematically given as

F=Kx

Where

3.2lb=2ft*k

Thereofore

k=16

Force becomes

f=kx

f=16x

Hence

[tex]W=8[x^2]^{3/4}_{0}[/tex]

W=9/2lbft

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Answer:

what in the world is this?

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{6})\qquad \qquad \stackrel{slope}{m}\implies 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{7}(x-\stackrel{x_1}{3})[/tex]

Answer:

[tex]y=7x-15[/tex]

Step-by-step explanation:

Given the following question:

Point A = (3, 6) = (x1, y1)
m (slope) = 7

We will find the equation of this line by finding the slope intercept.

[tex]y=mx+b[/tex]
[tex]y=6[/tex]
[tex]m=7[/tex]
[tex]x=3[/tex]
[tex]6=7(3)+b[/tex]
[tex]7\times3=21[/tex]
[tex]21-21=0[/tex]
[tex]6-21=-15[/tex]
[tex]b=-15[/tex]
[tex]y=7x-15[/tex]

Hope this helps.

Answer:The more gallons, the more time Hunter spent to fill it.

Step-by-step explanation:

Both increase as they grow.

Answer:

8.0*10^-4 in standard form or scientific notation.

Answer:

The unlimited mileage plan would save money for Lia from 410 miles onwards.

Step-by-step explanation:

Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:

90.25 - 50 = 40.25

40.25 / 0.25 = 161

161 + 250 = 411

Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.

Answer:

for (−4/5)x + 3/10 < 8/10:  solution is x > -5/8

for −4/(5x) + 3/10 < 8/10: solution is x > -8/5

Step-by-step explanation:

I'm not exactly sure if you mean -4 divided by 5x or (-4/5)x, so I've done both! :)

[tex]-\frac{4}{5}x+ \frac{3}{10} < \frac{8}{10}[/tex]

subtract 3/10 from both sides:  [tex]-\frac{4}{5}x < \frac{5}{10}[/tex]

Divide both sides by 4/5:  [tex]-x < \frac{5}{8}[/tex]

Divide both sides by -1 (reverse sign):  [tex]x > -\frac{5}{8}[/tex]

[tex]-\frac{4}{5x}+ \frac{3}{10} < \frac{8}{10}[/tex]

subtract 3/10 from both sides:  [tex]-\frac{4}{5x} < \frac{5}{10}[/tex]

Multiply both sides by 5x:  [tex]-4 < \frac{5}{2}x[/tex]

Divide both sides by 5/2:  [tex]x>- \frac{8}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-4}{5}x+\dfrac{3}{10}<\dfrac{8}{10}[/tex]

[tex]\\ \tt\longmapsto \dfrac{-4}{5}x<\dfrac{5}{10}[/tex]

[tex]\\ \tt\longmapsto -4/5x<1/2[/tex]

[tex]\\ \tt\longmapsto x>-5/8[/tex]

Answer:

V=180

Step-by-step explanation:

volume of the triangle =b×h

B means that the base of the prism.

to find the base use heron's formula.

and multiple with hight.

s=A+B+C/2

s=5+12+13/2=15

A=root over 15 (15-5)(15-12)(15-13) = 30

V=b×h

V=30×6

V=180

Answer:  dddss Ggg. Nj

Step-by-step explanation:

Answer:

  7.8 cm

Step-by-step explanation:

The relevant formula is ...

  A = 1/2aP . . . . where a is the apothem, and P is the perimeter.

For a regular 12-gon the perimeter is 12 times the side length, so we have ...

  P = 12s = 12(4.2 cm) = 50.4 cm

Then the apothem is found from ...

  197 cm² = (1/2)a·(50.4 cm)

  a = 197/25.2 cm ≈ 7.81 cm

The apothem is about 7.8 cm.

__

Additional comment

A regular 12-gon with a side length of 4.2 cm will have an area of about 197.500 cm². The apothem will be about 7.837 cm. The area of a regular n-gon can be calculated from the side length as ...

  A = ns²/(4·tan(180°/n))

Similarly, the apothem will be ...

  a = s/(2·tan(180°/n))

Answer:

y88 porty forty

YoungBoy

Answer:

x = 52°

y = 128°

Step-by-step explanation:

This is an isosceles trapezoid as the legs are the same length (denoted by the double dashes).

For an isosceles trapezoid, the sets of angles adjoined by parallel lines are equal.  Therefore, for this trapezoid, y = 128 and the two remaining angles are both x.

The interior angles of a trapezoid = 360°

Therefore, x + x + 128 + y = 360

Since we know y = 128:

2x + 128 + 128 = 360

⇒ 2x = 104

⇒ x = 104 ÷ 2 = 52

B if not C, with the exponent of the coefficient

The factorization of the trinomial is A = 3 ( x - 2 ) ( x - 5 )

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the expression be represented as A

Now , the value of A is

A = 3x² - 21x + 30   be equation (1)

On simplifying , we get

Taking 3 as the common factor of the expression , we get

A = 3 ( x² - 7x + 10 )

A = 3 ( x² - 2x - 5x + 10 )

On factorizing , we get

A = 3 ( x - 2 ) ( x - 5 )

Hence , the expression is A = 3 ( x - 2 ) ( x - 5 )

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Answer:

Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:

hope this helped!

Answer:

It is the number in the middle of a set of numbers arranged in ascending order, it will be easier to find median if the set of given numbers are even if its an odd number, then divide the number by 2.

To find the range subtract the lowest value from the highest value

Step-by-step explanation:

Answer:

v = 176

Step-by-step explanation:

Since a fraction is essentially the same thing as dividing one number by another, we can multiply 44 by 4, the denominator of the fraction we are finding the numerator for, and get 176. This fraction is already in negative form, so we don't need to do anything else.

Answer:

50°

Step-by-step explanation:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Answer:

Step-by-step explanation:

Area of triangle:

Area of rectangle:

The recipe calls for 1/3 cup of milk.

Half of the recipe requires:

[tex] \huge\tt\boxed{\tt x \leqslant −20}[/tex]

Step-by-step explanation:

[tex] \looparrowright \sf4x+24 \leqslant −56[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf4x \leqslant −56 - 24[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf4x \leqslant −80[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x \leqslant −80 \div 4[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x \leqslant −20[/tex]