4) Find the value of k if (-2)k × (-2)3 = (-2)7​

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

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Answer:

A. 60+x=90

Step-by-step explanation:

Complimentary angles are angles that add to 90.

Answer:

the correct answer is3 1/2

Answer:

7.9

2 x 3.14 x 7.9 = 49.612 rounded up will be: 49.6 ft

Answer:

Equation

Step-by-step explanation:

an equation is a statement of equality of two algebraic expressions involving one or more unknown quantities.

Answer:

4.6 and 10.3

Step-by-step explanation:

Answer:

98 cm^2

Step-by-step explanation:

7 x 14 =98

Answer:

1. c

2. b

3. a

4. d

5. e

6. f

Step-by-step explanation:

Answer:

10.3

Step-by-step explanation:

(7 + 8 + 10 + 10 + 12 + 15) / 6 = 10.333

Answer:

B

Step-by-step explanation:

3/5 == 0.6

Which part of the line is 0.6?

A < 0.5 so there's no way A can be the answer.

C > .75 so it can't be the answer either.

D > 1.5 so it can't be the answer either.

B is the only answer left and it sits just right in front of 0.5, which is close to 0.6.

Answer:(4, 5) .                                                                    

dkfjsdlkfjsdlkfjsdklfjsdlkfj

Answer:

The answer is y=5

Step-by-step explanation:

9x=-18

x=-2

-2+9y=43

9y=45

y=5

1. y = 4 * 2^x

2. y = 2(1/2)^x

I hope this helps you, have a good day!

Answer:

ima redo my answer but

Step-by-step explanation:

For y +2x5 is that an times sign or wht cause i can't answer that unless thats cleared up first

Answer:

Step-by-step explanation:

I could help you

but I need you help two just in two questions just post them pls answer them and i will help u

Answer:

A. 6x + 4

B. 22 cm

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.

When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.

Answer:

lol or i could just answer it on here

Step-by-step explanation:

Answer:

point slope form

y-y1=m(x-x1) where

m=slope and you are given a point (x1,y1)

slope=-5

point is (2,-1)

x1=2

y1=-1

m=-5

so

y-(-1)=-5(x-2)

y+1=-5(x-2) is answer

Answer:

Draw a figure!

There are 6 surfaces to add.

4 of them have area 9*5 and 2 have area 5*4.

You should be able now to compute the surface areas.

Step-by-step explanation:

Answer: [tex]130.9^{\circ}[/tex]

Step-by-step explanation:

Given

The number of students in the first year is 800

The number of students in the second year is 950

The number of students in the third year is 1000

If this data is graphed on a pie chart, then the area percentage of area occupied by third years is

[tex]\Rightarrow \dfrac{1000}{1000+950+800}\times 100=36.36\%[/tex]

Now, the angle around the center of the circle is [tex]360^{\circ}[/tex]

[tex]\therefore \text{angle covered by third years=}0.3636\times 360^{\circ}\\\Rightarrow 130.896\approx 130.9^{\circ}[/tex]

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Work Shown:

A = old value = 12 pounds

B = new value = 15 pounds

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-12)/12 ] * 100%

C = (3/12)*100%

C = 0.25*100%

C = 25%

The positive C value indicates a percent increase

So effectively, we find the difference or change in weight (B-A) and divide it over the original weight (A). That leads to 0.25 which converts to 25%

Note that,

25% of 12 = 0.25*12 = 3

This says that the puppy gained 3 pounds, which is the value of B-A

Since the puppy gained 3 pounds, the new weight is 12+3 = 15 pounds

-----------

As an alternative, we could divide the two values B over A to find that

B/A = 15/12 = 1.25

Then subtract 1 from this result: 1.25 - 1 = 0.25 = 25%

Answer:

4:3

Step-by-step explanation:

AC=8

FH=6

8/6=4/3=4:3

Answer:

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Step-by-step explanation:

In trigonometry, we make use of the ACTS initials to get which quadrant has it's sine, cosine or tangent functions as negative or positive.

In quadrant 1, it is denoted by A meaning All of sine, cosine and tangent functions are positive

In quadrant 2, it is denoted by C to mean that only cosine is positive i.e. greater than 0.

In quadrant 3,it is denoted by T to mean that only cosine is positive i.e. greater than 0.

In quadrant 4, it is denoted by S to mean that only sine is positive i.e. greater than 0.

Thus, comparing all above with the question, we can say that;

Cos A < 0 in the 3rd and 4th quadrants

Tan A < 0 in the 2nd and 4th quadrants

Answer:

79 would be rounded to the nearest hundredth

Answer:

78.57

Step-by-step explanation:

The number in the hundredths place is 7. 78.570

So then you look to the number to the right which is zero so you round down to 78.57

So, the answer is the same.

78.57

Hope this helps!