Which is the coldest temperature? Explain how you determined this using the number line.

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:

$68.44 will be the total bill.

Step-by-step explanation:

18/100 = .18

58 x .18 = 10.44

58 + 10.44 = 68.44

:)

Answer:

It would be 68.44

Step-by-step explanation:

What you do is you multiply 58 by .18. it should come out to 10.44. Once you do that, you add the $58 dollar check with the 10.44 tip and the answer is 68.44!!

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:    A. a² = -25

Step-by-step explanation:

The square of a number can never be negative and as such a² ≠ - 25.

Proof of this is that the √-25 = 5i  (aka an imaginary number).

Answer:

96

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

84.48/0.88

The first step to dividing decimal numbers is to convert them into whole numbers. You can do this by multiplying 1 followed by as many zeros as decimal numbers there are. In this case, we have 2 decimal numbers, therefore, we must multiply by 1 followed by 2 zeros rather 100.

84.48*100/0.88*100

---------------------------------------------

8448/88=96

792

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 52'8

 528

 --------

    -

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.

The answer is [tex]\boxed{7},[/tex] where [tex]a=5[/tex] and [tex]b=2.[/tex]

Solution sketch:

Apply the Pythagorean theorem to find [tex]EC[/tex] and [tex]AE,[/tex] which you then use to find [tex]AD[/tex] and [tex]BC.[/tex] Apply Heron's formula to [tex]\triangle ABC[/tex] to find that its area is 10, and then use [tex][ABC]=\frac{(AB)(CF)}{2}[/tex] (base times height over 2) to finish by solving for [tex]CF.[/tex].

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:

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:

b

Step-by-step explanation:

Answer:

6x -8

Step-by-step explanation:

2 (3x - 4)

Distribute

2*3x - 2*4

6x -8

Answer

Step-by-step explanation:

One solution  :

             x = -1/3 = -0.333

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               -5*(3*x+1)+4*x-(10*x+2)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((0 -  5 • (3x + 1)) +  4x) -  (10x + 2)  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -21x - 7  =   -7 • (3x + 1)

Equation at the end of step  3  :

 -7 • (3x + 1)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -7   =  0

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

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

Step-by-step explanation:

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:

mark brainlyest and I will answer

Answer:

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

Step-by-step explanation:

Answer:

6/b=10/40

Step-by-step explanation:

Let me know if this is correct or if I did something wrong I haven't done this kinda math in a couple year D:

Answer:

6/h=10/40

Step-by-step explanation:

The first and second one have a 30, so it's not right.

Answer:

All of the above

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.

Answer:

I know I'm 10 days late on this, but the answer is 1.5

Step-by-step explanation:

1. Add 3+7+4+2:

[tex]3+7+4+2=16[/tex]

2. Divide it by 4 because we have 4 numbers being added:

[tex]\frac{16}{4} =4[/tex]

3. Subtract 4 from all numbers:

[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]

4. Add the differences:

[tex]1+3+0+2=6[/tex]

5. Divide again by 4:

[tex]\frac{6}{4} =1.5[/tex]

Answer:

x^2 - 24x + 144

Step-by-step explanation:

24/2(1)= 24/2= 12

(12)^2= 144

Answer:

For the expression they are adding by 4.

Step-by-step explanation:

2+4=6, 6+4=10, 10+4=14, 14+4=18, 18+4=22, and it goes on and on.

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:

11

Step-by-step explanation:

9+8+4=21

we want to divide a number by 4 to get 8

4 x 8=32

32-21+11

Answer:

1/9

Step-by-step explanation:

3/8 = 1/3

1/3 × 1/3 = 1/9

Answer:

1/9

Step-by-step explanation:

3/9 of original recipe

3/9=1/3 (on simplifing) Is the recipe we want to make

so 1/3 of the recipe we want to make

=(1/3) * (1/3)

=1/9

Hope it helps, Pls Marks as Brainliest!!

Answer:

Step-by-step explanation:

f(x) = 26/x + 7

[tex]f(8)=\frac{-26}{8}+7\\\\=-3.25+7\\\\=3.75[/tex]

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: -4.5x + 30

Step-by-step explanation:

Simplify.

-x- (-15) - 3.5x +15

Remove parentheses.

-x + 15 -3.5x + 15

Collect like terms.

(−x−3.5x)+(15+15)

Simplify.

-4.5x + 30