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4 years ago

7

Suppose one card is drawn from a randomly shuffled deck and then, without replacing that card in the deck, a second card is draw

n. what is the chance that a king is drawn first and then an ace is drawn (not necessarily in that order)

1 answer:

Strike441 [17]4 years ago

4 0

The chance of a king and a ace being drawn out of a deck of cards would be 8 out of 52

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Solve for x, if m<2 = 2+6x

Katarina [22]

71+71=142
180-142=38
2+6x=38
6x=36
x=6

6 0

3 years ago

Read 2 more answers

Factor the algebraic expression 16a + 36

Studentka2010 [4]

Answer:

<u><em> 4 • (2a + 3b) • (2a - 3b)</em></u>

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(16 • (a2)) - (22•32b2)

Step 2 :

Equation at the end of step 2 :

24a2 - (22•32b2)

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

16a2 - 36b2 = 4 • (4a2 - 9b2)

Trying to factor as a Difference of Squares :

4.2 Factoring: 4a2 - 9b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 4 is the square of 2

Check : 9 is the square of 3

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (2a + 3b) • (2a - 3b)

Final result :

4 • (2a + 3b) • (2a - 3b)

7 0

3 years ago

An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine a

Ket [755]

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is $s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13$

The mean is 40.35 and the standard deviation is 0.13.

5 0

3 years ago

Julia planet a rectangle garden that is 20 feet long she plays 56 feet of fencing around her Garten what is the width of her Gar

Aleksandr-060686 [28]

The width of rectangular garden(b) = 8 feet and

The area of rectangular garden = 160 square feet

Step-by-step explanation:

Given,

The length of rectangular garden(l) = 20 feet and

The perimeter of rectangular garden(fencing) = 56 feet

To find, the width of rectangular garden(b) = ? and

The area of rectangular garden = ?

We know that,

The area of rectangular garden = 2(l + b)

⇒ 2(20 + b) = 56

⇒ 20 + b = 28

⇒ b = 28 - 20 = 8 feet

The width of rectangular garden(b) = 8 feet

∴ The area of rectangular garden = l × b

= 20 feet × 8 feet

= 160 square feet

Hence, the width of rectangular garden(b) = 8 feet and

the area of rectangular garden = 160 square feet

6 0

3 years ago

22 students submitted the HW this week, which was 62% of the class. How many students are in the class?

stich3 [128]

Answer: 28 students

Step-by-step explanation:

4 0

3 years ago