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DanielleElmas [232]

3 years ago

7

A card is chosen at random from a standard deck of 52 playing cards.What is the probability that the chosen card is a jack or a

queen?

1 answer:

Rudik [331]3 years ago

3 0

8/52 or 2/13
Because there is 1 queen and 1 jack in each of the 4 suites. so 2x4=8. Out of 52 cards, then simplify.

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

Find the total number of outcomes, rolling a number cube and tossing<br> two coins

Tcecarenko [31]

A number cube has 6 different numbers.

A coin can have 2 outcomes ( heads or tails.)

Total out comes = 6 x 2 x 2 = 24

5 0

2 years ago

0.1 is a rational number because it can be written as

Gnesinka [82]

Answer:

because it can be written in the <u>form</u><u> </u>of p/q

Where p and q are integers, and q is <u>not</u> equal to zero.

8 0

1 year ago

How many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?

Ludmilka [50]

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

there are 5 choices for the first digit (exclude 0)

there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers

6 0

2 years ago

Euclidean Geometry<br>which distance measures 7 units

belka [17]

Answer:

Whichever distance you can count the metric units and see that the x value is 7 on

Step-by-step explanation:

Whichever distance you can count the metric units and see that the x value is 7 on

6 0

3 years ago