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2 years ago

You are dealt one card from a satndard 52-card deck. Find the probability of being dealt an ace or a 7

Mathematics

1 answer:

ruslelena [56]2 years ago

3 0

Answer:

2/13 or 15.38%

Step-by-step explanation:

Number of Aces in a deck = 4

Number of 7s in a deck = 4

Number of cards in a deck = 52

Probability of A or 7 = (4 Aces + 4 Sevens) / 52 cards 8 cards / 52 cards

This simplifies to 2/13 or 15.38%

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Select the two values of x that are roots of this equation. 2x+11x+15= 0

Amiraneli [1.4K]

Answer:

The roots of the equation are x=-3 and x=-2.5

Step-by-step explanation:

The correct quadratic equation is

2x^2+11x+15=0

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$2x^{2} +11x+15=0$

$a=2\\b=11\\c=15$

substitute in the formula

$x=\frac{-11(+/-)\sqrt{11^{2}-4(2)(15)}} {2(2)}$

$x=\frac{-11(+/-)\sqrt{121-120}} {4}$

$x=\frac{-11(+/-)\sqrt{1}} {4}$

$x=\frac{-11(+/-)1} {4}$

$x_1=\frac{-11(+)1}{4}=-2.5$

$x_2=\frac{-11(-)1}{4}=-3$

therefore

The roots of the equation are x=-3 and x=-2.5

5 0

3 years ago

A 26-foot long ladder is leaning against a building

xxTIMURxx [149]

Answer:

Step-by-step explanation:

cos(60) =building height / 26

8 0

2 years ago

Read 2 more answers

Help me with this math problems please only the ones that are circled

joja [24]

For #1 the answers are
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5 0

3 years ago

Solve the absolute value inequality: |x + 12| + 5 < 27 Isolate the absolute value by subtracting 5 from both sides.

Feliz [49]

Answer:

- 34 < x < 10

Step-by-step explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

given | x + 12 | + 5 < 27 ( subtract 5 from both sides )

| x + 12 | < 22, then

- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )

- 34 < x < 10

8 0

3 years ago

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What is theplace value of the 7 in 775,823,159?

Leokris [45]

Which seven?
070,000,000 would be in the 10 millions
700,000,000 would be in the 100 millions

4 0

3 years ago