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2 years ago

What is the approximate Probability of drawing a Black OR Face Card from a standard deck of shuffled cards?

Mathematics

1 answer:

JulijaS [17]2 years ago

6 0

Answer:

0.73

Step-by-step explanation:

Number of cards in a standard deck = 52

Number of black cards = 26

Number of face cards = 12

Probability of drawing either a black or face card

Probability = required outcome / Total possible outcomes

P(drawing a black card or face card) = (number of black cards / total card) + (number of face cards / total cards)

= 26/52 + 12 /52

= 0.5 + 0.2307692

= 0.73

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What expression represents the statement below?

n200080 [17]

(n / 10) + 15

The quotient is the result of division between two numbers

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3 years ago

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You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di

Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

$tan\alpha=\frac{opposite}{adjacent}$

Therefore:

For the triangle ABD:

$tan(36\°)=\frac{x}{DC+11}$ [EQUATION 1]

For the triangle ACD:

$tan(46\°)=\frac{x}{DC}$ [EQUATION 2]

Solve from DC from [EQUATION 2]:

$DC=\frac{x}{tan(46\°)}$

Substitute into [EQUATION 1] and solve for x:

$tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x$

$x=26.81ft$ ≈26.8ft

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3 years ago

What is the simplified form of √144x^36

Nadusha1986 [10]

Answer:

The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

Step-by-step explanation:

Given : $\sqrt{144x^{36}}$

We have to write the simplified form of $\sqrt{144x^{36}}$

Consider the given expression $\sqrt{144x^{36}}$

We know $\sqrt{144}=12$

and $\sqrt{x^{36}}=\sqrt{x^{18}\cdot x^{18}}$

Thus,

$\sqrt{144x^{36}}=\sqrt{12^2\cdot (x^{18})^2}$

Simplify, we have,

$=\sqrt{12^2\cdot (x^{18})^2}=12x^{18}$

Thus, The simplified form of $\sqrt{144x^{36}}$ is $12x^{18}$

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3 years ago

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Do this for me pls its mdths

Vadim26 [7]

Answer:

A = -1

B = -3

C = -7

Step-by-step explanation:

See attached image.

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2 years ago

What is the slope of the line that contains these points?

seraphim [82]

Answer:

Step-by-step explanation:

The slope =

difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.

So taking the first 2 points:

The slope = (18-10) / 0 - (-1)

= 8/1

= 8.

This is confirmed by slope between the second and third points

slope = 26-18/ (1-0) = 8.

8 0

3 years ago