You roll a number cube twice. What is the probability of rolling a 2 first and then rolling an odd number?

1/36
1/12
1/9
1/4

Answer:

765

Step-by-step explanation:

Given in the question,

number of people to be choose with at least 5 women in it = 8

There are 2 ways to choose 8 members

1)

5 women

(6C5)(10C3)

6x120

720

2)

6 women

(6C6)(10C2)

1x45

45

Our final answer is 720 + 45 = 765 ways

Formula to calculate

nCr = n! / r!(n-r)!

The selection of members of the committee is an illustration of combination.

The number of ways of selection is 765

The given parameters are:

[tex]\mathbf{Men = 10}[/tex]

[tex]\mathbf{Women = 6}[/tex]

At least 5 women means that:

So, the possible selection is:

[tex]\mathbf{Selection = ^6C_5 \times ^{10}C_3 + ^6C_6 \times ^{10}C_2}[/tex]

Apply combination formula

[tex]\mathbf{Selection = \frac{6!}{5!1!} \times \frac{10!}{7!3!} + \frac{6!}{6!0!} \times \frac{10!}{8!2!}}[/tex]

[tex]\mathbf{Selection = 6 \times 120 + 1 \times 45}[/tex]

[tex]\mathbf{Selection = 720 + 45}[/tex]

[tex]\mathbf{Selection = 765}[/tex]

Hence, the number of ways of selection is 765

Read more about selections and combinations at:

https://brainly.com/question/13387529

Answer:

Y = mX + b

Step-by-step explanation:

Equation for a line:

Y = mX + b

Best regards

Answer:

The answer is the first graph in the second raw

Step-by-step explanation:

* Lets study the dilation:

- A vertical stretching is the stretching of the graph away

 from the x-axis

- A vertical compression is the squeezing of the graph

 toward the x-axis.

- if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically

 stretched by multiplying each y-coordinates by k.

- if 0 < k < 1 (a fraction), the graph is f (x) vertically compressed

 by multiplying each y-coordinates by k.

* Notice that the "roots" on the graph stay in their same

 positions on the x-axis.

* Lets check our question:

∵ f(x) = 3g(x)

∵ f(x) = k.g(x)

∴ It is a vertical stretching or vertical compression

∵ k = 3 > 1

∴ It is vertical stretching with scale factor = 3

* That means we will multiply each y-coordinates in g(x) by 3

∴ The graph of f(x) will be away from x- axis and narrow to y- axis

∴ The answer is the first graph the second raw

Example: If g(x) = x²

                ∴ f(x) = 3x²

* Look to the graph:

- The red is the graph of g(x)

- The blue is the graph of f(x)

- f(x) = 3g(x)

Answer: the answer is b

Step-by-step explanation:i did the test yourself on algebra nation

Answer:

2,5 appeared LESS

Step-by-step explanation:

the theoretical probability in this case would be 5 because Micah rolled the number cube 30 times and there is 6 total outcomes of the number cube.

To figure out the theoretical probability:

30 divided by 6

= 5

So every number that appeared less than 5 is your answer    

I believe the answer is 2,5

Step-by-step explanation:

Complementary means the total is 90 degrees.

So 90=x+3x+10

90=4x+10

80=4x

x=20 degrees

Answer:

x=20 degrees

hope this helped! :)

I believe that the answer is $175

Answer:

$112

Step-by-step explanation:

140 divided by 5 is 28, which means 1/5 of 140 is 28. You take that 28 times 4 to get 4/5 of 140 which comes out to be 112. Brainliest please!

Answer:

The answer is D

Step-by-step explanation:

Answer:

{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}

Step-by-step explanation:

The sample space is all the possible results that can be obtained from a randomized experiment.

In this case, the experiment is to select two chocolates out of 4.

If we have 4 chocolates of different types {C, M, D, W}

and we select 2, then (taking into account the order in which she eats the chocolates} the possible results are:

{CM} {CD} {CW} {MC} {MD} {MW} {DC} {DM} {DW} {WC} {WM} {WD}

There are 12 possible results for this experiment.

Answer:

= 2√3 m  or 3.464

Step-by-step explanation:

Using the sine,  

sin(60”)  = x / 4   multiply both sides by 4

4 sin (60°)   = x

4 * √3 / 2  =  x  

x = 2√3 m  

slant height  =2√3 m

Answer: The slant height is 2√3 meters.

Step-by-step explanation: The side adjacent to the 60 degree angle in the right triangle consisting of x, the lateral edge, and half of the base edge is half of the base edge, 2m. The side opposite of that angle is x. So basically you have tan(60°) = x/(2m)*tan(60°) = x = 2√3m. So thus the slant height is 2√3 meters.

Answer: 1607.68units^3

Step-by-step explanation:

Answer:

1607.68

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Since they are vertical angles, the angles are equal. Set them equal and solve for x.

5x + 10 = 7x - 12               Subtract 5x from both sides

10 = 2x - 12                       Add 12 to both sides

22 = 2x                             Divide by 2

11 = x

3 is not a perfect / 100 percent square.

If we simplify we get 1.73205081. That is in its simplest form.  

I believe the estimate should be higher

Answer:

A. No, the estimate should be higher.

Step-by-step explanation:

Answer:

first we must times 7.5 into 8 to find out what the answer is,

the answer is 60

[tex]\bf \textit{volume of a right-circular cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=10\\ h=8 \end{cases}\implies V=\pi (10)^2(8)\implies V=800\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill V\approx 2513.27~\hfill[/tex]

Answer:

A. Nothing, Paul is correct

Step-by-step explanation:

Answer:$271

Step-by-step explanation:

$125x12= 1500+250=1750

1750-1479=271

Answer:

Step-by-step explanation:

sistemul digestiv

Answer x^-5

Step-by-step explanation: since (- 5/6)*6=-5

The answer is x^-5

Intersection of the first two lines:

[tex]\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}[/tex]

Multiply the first equation by 4 and the second by 5:

[tex]\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}[/tex]

Subtract the two equations:

[tex](20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1[/tex]

Plug this value for y in one of the equation, for example the first:

[tex]5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1[/tex]

So, the first point of intersection is [tex](-1,-1)[/tex]

We can find the intersection of the other two lines in the same way: we start with

[tex]\begin{cases}x=y\\x=3y+4\end{cases}[/tex]

Use the fact that x and y are the same to rewrite the second equation as

[tex]x=3x+4 \iff 2x=-4 \iff x=-2[/tex]

And since x and y are the same, the second point is [tex](-2, -2)[/tex]

So, we're looking for a line passing through [tex](-1,-1)[/tex] and [tex](-2, -2)[/tex]. We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be [tex]y=x[/tex]

In the attached figure, line [tex]5x - 2y + 3 = 0[/tex] is light green, line [tex]4x - 3y + 1 = 0[/tex] is dark green, and their intersection is point A.

Simiarly, line [tex]x=y[/tex] is red, line [tex]x = 3y + 4[/tex] is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

To answer the student’s question, solve for points of intersection of given pairs of equations, use these points to calculate the slope, and then apply the point-slope or two-point form to determine the equation of the line.

To find the equation of a line that passes through the points of intersection of two sets of equations, we first need to determine the coordinates of these intersection points. We have two given sets of equations: 5x - 2y + 3 = 0 and 4x - 3y + 1 = 0, as well as x = y and x = 3y + 4. To solve for the intersection points, we can use substitution or elimination method for the pairs of equations separately.

Once we have found the two points of intersection, we use these points to determine the slope of the line (using the slope formula ∆y /∆x). After that, we apply the point-slope form or the two-point form of the equation of a line to find the equation that contains both points. The final step would be to simplify the equation to its standard form.

However, the question seems to include extraneous information, as the equation provided for a specific line, y = 9 + 3x, does not directly pertain to the given task of determining the equation of the line through the points of intersection. It does illustrate that a line's equation can be represented in the form y = mx + b, where m represents the slope, and b represents the y-intercept.

https://brainly.com/question/21511618

#SPJ2

Answer:

15. 31.42 cm^2

16. 25.73 m^2

17. Fly A

Step-by-step explanation:

15.

The blue shaded region is a sector of a circle. The formula for area of sector = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where  [tex]\theta[/tex] is the central angle and r is the radius

For the diagram, we have 80° arc and 180° arc as the "white" area. Since the whole circle is 360°, the shaded region arc is 360 - (80+180) = 100°. this is  [tex]\theta[/tex] and the radius is 6.

Plugging in it in the formula we get:

Area of shaded region = [tex]\frac{\theta}{360}*\pi r^2\\=\frac{100}{360}*\pi(6)^2\\=31.42[/tex] cm^2

16.

We can say that area of shaded region = area of parallelogram - area of circle

Now,

Area of Parallelogram = b * h

where

b is the base (it is 6+3=9) and h is the height (diameter of the circle is the height = 6)

Area of Parallelogram = 9 * 6 = 54

Area of Circle = πr^2   where r is the radius, which is 6/2=3

Area of Circle = π(3)^2 = 9π

Now,

Area of Shaded Region = 54 - 9π = 25.73 m^2

17.

For the first figure (rectangle) we could let the height be h (since not given). So area of yellow region would be 4h (area of rectangle is base * height)

And area of whole ruler would be 8*h = 8h

So probability of landing in yellow region would be  [tex]\frac{4h}{8h}=\frac{1}{2}=0.5[/tex]

For 2nd figure, the yellow region has area of π(2)^2 = 4π ( radius of yellow circle is 2 and area of circle is πr^2)

Area of whole circle is  π(4)^2 = 16π

So probability of landing in yellow region would be  [tex]\frac{4\pi}{16\pi}=\frac{1}{4}=0.25[/tex]

Hence, Fly A is more likely to land in a yellow region.

Answer:

C= 2π*4

C= 4*2= 8*3.14

C= 25.12

Step-by-step explanation:

Answer:

Are needed [tex]863.5\ in^{2}[/tex] of blue tile

Step-by-step explanation:

we know that

To find how much blue tile do you need, subtract the area of the smaller circle from the area of the large circle

step 1

Find the radius of the large circle

The circumference of the circle is equal to

[tex]C=2\pi r[/tex]

we have

[tex]C=113.097\ in[/tex]

substitute and solve for r

[tex]113.097=2\pi r[/tex]

[tex]r=113.097/(2\pi)[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]r=113.097/(2(3.14))=18\ in[/tex]

step 2

Find the area of the large circle

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=18\ in[/tex]

substitute

[tex]A=\pi (18)^{2}=324\pi\ in^{2}[/tex]

step 3

Find the area of the smaller circle

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=7\ in[/tex]

substitute

[tex]A=\pi (7)^{2}=49\pi\ in^{2}[/tex]

step 4

Find the difference of the areas

[tex]324\pi\ in^{2}-49\pi\ in^{2}=275\pi\ in^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]275(3.14)=863.5\ in^{2}[/tex]

Answer:

200 miles

Step-by-step explanation:

8x25=200

The actual distance will be 200 miles

The question states that

The distance between two cities is 8 inches

Actual distance would be

8 * 25 = 200

So the actual distance would be 200 miles

To solve the equation 3/8c -2 = 3/2c -12 for c, first clear the fractions by multiplying the entire equation by 8. Then, use algebraic operations to isolate and solve for c, yielding the solution c = 80/9 or about 8.89.

The given algebraic equation is 3/8 c−2= 3/2 c−12. Our goal is to solve for c. Here's how:

So, the solution to the equation 3/8c - 2 = 3/2c -12 is c = 80/9 or about 8.89.

https://brainly.com/question/33839116

#SPJ12

To solve the equation:3/8 c−2= 3/2 c−1. We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.

After simplifying,80/9.

Let's solve the equation:3/8 c−2= 3/2 c−1.

We can solve the equation by combining like terms, eliminating fraction denominators, and distributing.

Steps to solve:

1. Combine multiplied terms into a single fraction:

3/8 c−2= 3/2 c−12

2. Find common denominator:

3/8 c + (8/8) −2= 3/2 c−12

3. Combine multiplied terms into a single fraction:

3/8 c + (8 *(−2) /8) −2= 3/2 c−12

4. Combine fractions with common denominator:

(3c + 8 *(−2) /8) = 3/2 c−12

5. Multiply the numbers:

(3c -16) /8) = 3/2 c−12

6.Combine multiplied terms into a single fraction:

(3c -16) /8) = 3/2 c−12

7. Find common denominator:

(3c -16) /8) = 3/2 c +(2/2) (-12)

8.Combine multiplied terms into a single fraction:

(3c -16) /8) = 3/2 c +(2*-12)/2

9.Multiply the numbers:

(3c -16) /8) =(3c -24) /2)

10. Eliminate fraction denominators:

8*(3c -16) /8) = 8*(3c -24) /2)

11. Cancel multiplied terms that are in the denominator:

3c−16=4(3c−24)

12. Distribute:

3c−16=12c−96

13. Add/subtract to both sides:

3c−16+16=12c−96+16

14. Simplify:

3c=12c−80

15. Add/subtract to both sides:

3c−12c=12c−80−12c

16. Simplify:

−9c=−80

17.Divide both sides of the equation by the same factor:

−9c/-9=−80/-9

18.Simplify:

c=80/9.

Answer:

c

Step-by-step explanation:

The solution is

13

12

π. To calculate the arc length use the following formula:

Arc Length=

m(ARC)

360

· 2πr

Answer:

Step-by-step explanation:

f(x) =-3x - 7

f(g(x)) = -3*g(x) - 7

f(g(x)) = -3*x^4 - 7

bottom left.

ANSWER

[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]

EXPLANATION

It was given that;

[tex]f(x) = - 3x - 7[/tex]

and

[tex]g(x) = {x}^{4} [/tex]

We want to find the composite function,

[tex](f\circ g)(x) = f(g(x))[/tex]

[tex](f\circ g)(x) = f( {x}^{4} )[/tex]

We plug in x⁴ into f(x)=-3x-7 to obtain:

[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]

Answer:

1,2,3,4,6,12

Step-by-step explanation:

all the number which can divide 12 is factor of 12. so 1,2,3,4,6,12

Answer:

the answer is x=3

Step-by-step explanation:

divide by 9 on each side of = sign

9/9 and 27/9=3

Answer: 3/2

Step-by-step explanation:

I just did it on oddyseyware. Trust me and believe me its 3/2.

Answer:

[tex]4q^2 + 12q + 9[/tex]

Step-by-step explanation:

To simplify the expression, use the distributive property to write the expanded form of the quadratic.

[tex](2q+3)^2\\(2q+3)(2q+3)\\4q^2 + 6q + 6q + 9\\4q^2 + 12q +9[/tex]

Answer:

x = 15 or x = -17

Step-by-step explanation:

It is given that,

(x + 1)² = 16

To solve the quadratic equation

The give equation is

(x + 1)² = 16    ----(1)

From equation (1) we can see that it is a quadratic equation

So we can take square root fro both sides we get

√[(x + 1)²] =√16

x + 1 = ±16

x + 1 = 16   or x + 1 = -16

x = 16 - 1 = 15   or x = -16 - 1 = -17

Therefore x = 15 or x = -17