The area of a triangle is related to the base and height of the triangle by the formula a = bh/2. Rewrite this equation with b solved in terms of a and h.

Answer:

[tex]P(A) = \dfrac{1}{4}\\P(B) = \dfrac{1}{13}\\P(A \cap B) = \dfrac{1}{52}\\P(A/B) = \dfrac{1}{4}\\P(A/B) = P(A)\\[/tex]

A and B are not independent events.

Step-by-step explanation:

Total number of possibilities is 52 (Total number of cards in the deck).

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

For event A, number of cases possible for a card to be diamond = 13

[tex]P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}[/tex]

For event B, number of cases possible for a card to be a king = 4

[tex]P(B) = \dfrac{4}{52} \\\Rightarrow P(B) = \dfrac{1}{13}[/tex]

For the event, [tex]A \cap B[/tex], the card is a king and diamond, only one case is possible.

Because there is only one card for king of diamond.

[tex]P(A \cap B) = \dfrac{1}{52}[/tex]

Formula for P(A/B):

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

[tex]\Rightarrow \dfrac{\dfrac{1}{52}}{\dfrac{1}{13}}\\\Rightarrow \dfrac{1}{4}[/tex]

Yes, P(A) is same as P(A/B).

Here, A and B are not independent events because they have a common case i.e. a king is there which is of diamond in the deck.

Answer:

1/4

1/13

1/52

Yes, events a and b are independent events

Answer:

b

Step-by-step explanation:

Answer:

-3<3

Step-by-step explanation:

youre welcome

Answer:

45

Step-by-step explanation:

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.

Answer:

C, 9.4

Step-by-step explanation:

Answer:

on a graph paper draw the coordinate plane and locate -1 and draw a horizontal line

Step-by-step explanation:

Answer:

7680

Step-by-step explanation:

16(24)20

7680

V = 2,560 m^3

Step-by-step explanation:

The formula for the volume of a pyramid is...

[tex]V=\frac{1}{3}Bh[/tex]

B is the area of the base, which in this case is a rectangle. We need to find the area of the rectangle to plug in for B.

The formula for the area of a rectangle is...

[tex]l*w[/tex]

We can plug in the numbers.

[tex]16*24[/tex]

= 384

Now that we have B, we can plug that into the volume formula along with the height.

[tex]V=\frac{1}{3}(384*20)[/tex]

[tex]V=\frac{1}{3}*7,680[/tex]

V = 2,560 m^3

Answer:

B because 5/6 is roughly .83, which is bigger than .8

Step-by-step explanation:

Answer: the answer is 4

Step-by-step explanation:

3(2−x)=−6

Step 1: Simplify both sides of the equation.

3(2−x)=−6

(3)(2)+(3)(−x)=−6(Distribute)

6+−3x=−6

−3x+6=−6

Step 2: Subtract 6 from both sides.

−3x+6−6=−6−6

−3x=−12

Step 3: Divide both sides by -3.

−3x

−3

=

−12

−3

x=4

Answer:

x=4

Answer:

The ratio of shadow should be kept, then we have: x/25 = 3/5

=> x = 25 x 3/5 = 15

=> The flagpole is tall 15 feet

Hope this helps!

:)

Answer:

15 feet

Step-by-step explanation:

Length : shadow

3 : 5

X : 25

X/25 = 3/5

X = 25 × 3/5

X = 15

Answer:

the diagonal of the second square = 4.24264068712

Step-by-step explanation:

3^2 + 3^2 = 18 =the diagonal of the second square ^2

the diagonal of the second square = 4.24264068712

Answer:

1/4

Step-by-step explanation:

8 divided by 2= 0.25=1/4

The fraction of the carrots that each friend takes will be 1/4 part.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

There are 8 carrots. Four companions take 2 carrots each.

The fraction of the carrots that each friend takes will be given as,

⇒ 2/8

Simplify the fraction, then we have

⇒ 2/8

⇒ 1/4

The small portion of the carrots that every companion takes will be 1/4 section.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

$1,875

Step-by-step explanation:

$15.00 per hour (multiply by hours)

per technician (multiply by technicians)

so: 15x25=375 then 375x5=1,875

Answer:

$1875

Step-by-step explanation:

First, let's find how many hours the technicians worked

She has 5 technicians, and the each worked 25 hours

We can multiply 5 and 25 to find the total number of hours

5*25=125

Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.

They worked 125 hours, and they are paid $15 per hour

We can multiply 125 and 15 to find the cost

125*15=1875

So, Dr. Barber will pay the technicians $1875 in total

Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.

D. 5/6

Answer:

D) 2

Step-by-step explanation:

Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

A mirror

Step-by-step explanation:

thats all

Answer:

see below

Step-by-step explanation:

3( 4x - 3) + 8 = 2x + 10x -1

Distribute

12x - 9 +8 = 2x+10x -1

Combine like terms

12x - 1 = 12x - 1

Subtract 12x from each side

12x - 1 -12x = 12x - 1-12x

-1 = -1

This is true for all values of x

x = all real numbers

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 ( 4x - 3 ) +8 = 2x + 10x - 1       Example 1:

12x - 9 + 8 = 12x  - 1                    3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1

        - 12x = -12x                           3 ((4) - 3) + 8 = (2) + (10) - 1

      -9 + 8 = -1                                 ( 12 - 9 ) + 8 = 12 - 1

             -1 = -1                                            3 + 8 = 12 - 1

Example 2                                                       11 = 11

3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1

3 ((24) - 3) + 8 = (12) + (60) - 1

       72 - 9 + 8 = 72 - 1

              72 - 1 = 72 - 1

                    71 = 71

Answer:

3/12

Step-by-step explanation:

because because blue is on the spin wheel 3 out of 12 times and 3 is as reduced fraction as you could get because it's odd

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

C. 35

Step-by-step explanation:

7/40=x/200

200/40 x 7=35

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

Answer:

first B,second A, third C on edg

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

reverse the number

Answer:

1/6, because there is only one way it's possible and there are 6 outcomes.

Step-by-step explanation:

This is a linear function with a slope of 1 and a y-intercept at one.

Answer:

Linear function

because this kind of graph use line using the slope and y-intercept or two points

slope 1

y-intercept 1

x | y

0 | 1

1  | 2

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

Answer:

c=5

Step-by-step explanation:

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

Answer:

Step-by-step explanation:

length = 1800 / 6/10 = 30 ft long = 10 yard