This is a compound event problem. (Check the videos from this week's assignments.).


You roll a fair six-sided die and spin a spinner. What is the probability that the die shows a 4 and the spinner lands on yellow?


Fraction


Decimal (provide the first 5 decimal numbers)


Percent % (Round to the nearest tenth.)

Answer:

4+x

Step-by-step explanation:

you combine your like terms so you take 6x-3x and you end up with 3x than you take that 3x and subtract the 2x from it so you are left with just x so that would be 4+x

Answer:

4618.1 ft³

Step-by-step explanation:

Volume of the cone:

[tex]V_{cone} = \frac13 \pi r^2 h[/tex]

[tex]V_{cone} = \frac13 \cdot \pi \cdot 49 \cdot 12 = 196\pi[/tex]

Volume of the cilinder:

[tex]V_{cilinder} = \pi r^2 h[/tex]

[tex]V_{cilinder} = \pi \cdot 49 \cdot 22 = 1078\pi[/tex]

Total volume is 2*Vcone + Vcilinder = 1470π ≈ 4618.1 ft³

Answer:

C. Hollow cone frustum

Step-by-step explanation:

Revolved it in my head, because the line isn't touching the triangle it will be hollow, because the triangle has a slope the shape will taper.

Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

Answer:

Step-by-step explanation:

you can complete the square or use a calculator online that does it for you.

the equation is in the for y = a(x-h)^2 + k

it should be y = (x + 3)^2 + 3

Answer:

The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].

Step-by-step explanation:

To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].

Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].

Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].

Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].

So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].

Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].

This is our final equation.

Answer:

(10x + 37) and (15x+7) are vertical angles which are always equal

10x + 37 = 15x +7

5x = 30

x = 6

The angle (15x +7) equals 97 and the other angle (10x + 37) also equals 97 degrees.  All 4 of the angles add up to 360 degrees.

Therefore, 360 = 2z + 97 + 97

2z = 166

z = 83

Step-by-step explanation:

Answer:

Yes, Triangles in (1) are congruent

Step-by-step explanation:

Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.

1.) They must posses similar shape

2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)

Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.

Therefore, the two triangles are congruent.

Answer:

see below

Step-by-step explanation:

There are 36 possible outcomes when rolling 2 die

P( number) = number of times the sum appears / total outcomes

p(1) =0/36

P(2) = 1/36

p(3) = 2/36

p(4) = 3/36

p(5) = 4/36

p(6) = 5/36

p(7) = 6/36

p(8) = 5/36

p(9) = 4/36

p(10) = 3/36

p(11) = 2/36

p(12) = 1/36

Since he picked first he has the greatest odds so he is most likely to win

Answer: idk man

Step-by-step explanation: rg

Answer:iidk

Step-by-step explanation:

Step-by-step explanation:

work is shown and pictured

Answer:

2nd and 5th answer options

Step-by-step explanation:

Multiply the vertices of polygon ABCD by One-half.

Reflect the intermediate image.

Answer:

The

numerator is 360

Step-by-step explanation:

What we need to do here is make n the subject of the formula;

a = 180(n-2)/n

an = 180n-360

180n - an = 360

n(180-a) = 360

n = 360/(180-a)

Answer:

The relationship between the angles is alternate exterior angles.

Step-by-step explanation:

Exterior means outside.

Alternate means every other or in this case across form each other.

These angles represent alternate exterior angles because they are on the outside of the transversal and they are alternating each other.

Answer:

7 ducks equals 7 pigs.

Step-by-step explanation:

English Translation

On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?

Solution

For 12 ducks, there are 5 chickens

12 ducks = 5 chickens

For 3 chickens, there are 8 turkeys

3 chickens = 8 turkeys

For 10 turkeys, there are 9 pigs

10 turkeys = 9 pigs

We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.

9 pigs = 10 turkeys

8 turkeys = 3 chickens

10 turkeys = (10×3/8) chickens = 3.75 chickens

Hence, 9 pigs = 10 turkeys = 3.75 chickens

9 pigs = 3.75 chickens.

12 ducks = 5 chickens

5 chickens = 12 ducks

3.75 chickens = (3.75×12/5) ducks = 9 ducks.

9 pigs = 3.75 chickens = 9 ducks

9 pigs = 9 ducks.

Hence, 7 pigs = 7 ducks too.

Hope this Helps!!!

Answer:

135°

Step-by-step explanation:

Considering it's estimation, there isn't too much of an explanation, but here you go anyways.

A straight angle is equal to 180°. DBE is a straight angle.

DBC and CBE added together appear to be 180° (supplementary).

We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°

hope this helps and give brainliest if I am epic blah blah blah ;)

Answer:D

Step-by-step explanation:

Answer:

The trip is 45 and 1/2 miles long

Step-by-step explanation:

Answer & Step-by-step explanation:

18 - (2x + 1)

Distribute the negative sign (-) to 2x + 1.

18 - 2x - 1

Put -2x in the beginning of the expression and combine like terms.

-2x + 17

So, the answer to 18 - (2x + 1) is -2x + 17.

Answer:

Step-by-step explanation:

18

Answer:

B

Step-by-step explanation:

the denominator should be the total amount of outcomes.

Answer:

Step-by-step explanation:

i hope

the the answer is 2ab3(a4+3b3−7ab)

hope it helps.

sorry if it wrong

-Delilah

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

x - 3y = 8.

Step-by-step explanation:

Use the point-slope form of the equation of a line:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line.

So substituting the given values:

y - (-2) = 1/3(x - 2)

y + 2 = 1/3x - 2/3     Multiply through by 3:

3y + 6 = x - 2

x - 3y  =  6 + 2

x - 3y = 8  <---- Standard Form.

Answer:

Step-by-step explanation:

a) U -----> union

Union  of two sets is the set of all distinct elements that are in A or B

A U B = {8 , 14 , 17 , 16, 9 , 15}

∩ ----------> intersection

Intersection of two sets is the set of all distinct elements  that are in both A and B

A ∩ B = {14,17}

b) A' = {9 , 15 , 16 , 10 , 11 , 12 , 13}

P(A') = 7/10

Answer:

15 days

Step-by-step explanation:

5 x 21 = 105

105/7 = 15

Answer:

15 days

Step-by-step explanation:

As the number of people in that family increases the time taken reduces, so the time is in inverse proportion to the number of people in that family.

Let the number of days taken by a family of 7 to finish a quantity of food be x.

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{1}{\frac{7}{5} }[/tex]

⇒ [tex]\frac{x}{21}[/tex] = [tex]\frac{5}{7}[/tex]

⇒ x = [tex]\frac{21 * 5}{7}[/tex]

x = 15

∴ It would take a family of 7 15 days to finish a quantity of food.

Hope this helps!!!

Answer:

-3, -3

Step-by-step explanation:

Answer:

+18

Step-by-step explanation:

A gain is a positive number

+18

Answer:

+18

Step-by-step explanation:

Neg = Drop

Pos = Gain

Gain so +

+18

Answer:

The median would be found in the middle of the histogram

Step-by-step explanation:

It looks like 70-79, would fall in being the median because it is in the middle and it has the most results. In this case, I think it 70-79.

Hope this helps.

Answer:

70-79

Step-by-step explanation:

I took the test :)

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation: