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erastovalidia [21]
3 years ago
14

What is the probability of getting a 10 or a jack from a deck of poker cards (52 cards)?

Mathematics
1 answer:
krek1111 [17]3 years ago
8 0

Answer:

15.38%

Step-by-step explanation:

there are four 10 cards and four jack cards.

4+4=8

you want to get one from 52 cards, so it's 8 out of 52. 8/52

to calculate the percentage, you multiply 8 by 100, then divide by 52.

8*100/52=15.38 (rounded answer)

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Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

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

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
The value of blank divided 40.01 is much less than one?
patriot [66]

Answer:400

Step-by-step explanation: im coo like that

6 0
3 years ago
Read 2 more answers
Assume f(x) = g(x). Which of the following pairsof functions may be used to represent theequation 3^x+^2 = 7x + 6?
Aloiza [94]
Functions and equations

We have that:

3^{x+2}^{}=7x+6

Let's name each side of it with f(x) and g(x):

Then, we have that:

\begin{gathered} f(x)=3^{x+2} \\ \text{and} \\ g\mleft(x\mright)=7x+6 \end{gathered}

Then, the answer is C

<h2>Answer: C</h2>

4 0
1 year ago
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band
My name is Ann [436]

Answer: 15

Step-by-step explanation:

8 0
3 years ago
The sums of two prime numbers is 85.what is the product of these two numbers
vladimir1956 [14]
So prime numbers are numbers which cant be divided by any number other than one and these are <span>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, </span>61<span>, </span>67<span>, </span>71,73<span>, </span>79<span>, </span><span>83

83+2 is 85
so the product is the two numbers multiplied together which is 166</span>
4 0
3 years ago
Read 2 more answers
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