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Tomtit [17]
3 years ago
6

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the

first card is a two and the second card is a ten. Round your answer to three decimal places. A. 0.250 B. 0.994 C. 0.500 D. 0.006 Click to select your answer.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
4 0

Answer:

(D) 0.006

Step-by-step explanation:

Total number of cards :52

Please note that, all cards have a the possibility of appearing 4 times.

Hence total possible number of a '2' is 4 cards and so it is also for a '10'

Having this Understanding, let's solve the question properly.

The probability that the FIRST CARD is 2 = 4/52

Probability that the second card without replacement is a 10 = 4 / 51

P( 1st two and 2nd four)

4/52 * 4/51 = 4/663

= 0.0060332

Rounding to 3 decimal places = 0.006

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I would think A because regular quadrilaterals have 90-degree angles.
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3 years ago
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Evaluate 5|x³ - 2| + 7 when x = -2.
Margarita [4]

Answer:

57

Step-by-step explanation:

Step 1: Define

5|x³ - 2| + 7

x = -2

Step 2: Substitute and Evaluate

5|(-2)³ - 2| + 7

5|-8 - 2| + 7

5|-10| + 7

5(10) + 7

50 + 7

57

5 0
3 years ago
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Which statement correctly describes the relationship between the graph of f(x)=2x and the graph of g(x)=f(x)-4?
irina1246 [14]
The answer is C because we can say that the x value is the input and the y value is the output therefore as the 4 is subtracted after the function the output decreases by 4 and the y values must therefore decrease by 4.
7 0
4 years ago
What type of number is 6√14 + √14?
sveta [45]

Answer:

Rational

Step-by-step explanation:

Quick Easy Eliminations:

We can get rid of positive integer as the sum of these roots is a decimal which is not a whole number. Hence, we can eliminate 2 options, C. Positive integer and D. Whole Number.

First solve:

6√14 + √14

= 7√14 (Decimal form: 26.191602)

What we need is the decimal form in order to determine if it's rational or irrational.

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Rational

6 0
2 years ago
Kevin is filing his return under the single status. His taxable income is $125,500 per year. What tax bracket would he be in?
Anarel [89]

Since Kevin is filing his tax return under the single status, he would be in the tax bracket of <u>$86,376 to $164,925</u> with a marginal tax rate of <u>24%</u>.

<h3>What is a tax bracket?</h3>

Under the progressive tax system, a tax bracket is a range of taxable incomes that is subject to a marginal tax rate.

Tax brackets provide a systematic way of progressively taxing taxpayers' income.

<h3>Data and Calculations:</h3>

Taxable income = $125,500

Since he falls under the tax bracket of $86,376 to $164,925, Kevin's tax rate is 24%.

Thus, as a single taxpayer, Kevin falls under the tax bracket of <u>$86,376 to $164,925</u> with a marginal tax rate of 24% of taxable income.

Learn more about tax brackets at brainly.com/question/26925285

#SPJ1

<h3>Question Completion:</h3>

Personal Income Tax Brackets for Single Filers:

Tax rate    Taxable income bracket      Tax owed

10%             $0 to $9,950                  10% of taxable income

12%            $9,951 to $40,525        $995 plus 12% of the amount over $9,950

22%         $40,526 to $86,375        $4,664 plus 22% of the amount over $40,525

24%         $86,376 to $164,925       $14,751 plus 24% of the amount over $86,375

6 0
2 years ago
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