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2 years ago

Find the measure of each angle in the figure

Mathematics

1 answer:

Rus_ich [418]2 years ago

6 0

Answer:

Step-by-step explanation:

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Three cards are drawn from a standard deck of 52 cards without replacement. Find the probability that the first card is an ace,

MrRissso [65]

Answer:

$4.82\cdot 10^{-4}$

Step-by-step explanation:

In a deck of cart, we have:

a = 4 (aces)

t = 4 (three)

j = 4 (jacks)

And the total number of cards in the deck is

n = 52

So, the probability of drawing an ace as first cart is:

$p(a)=\frac{a}{n}=\frac{4}{52}=\frac{1}{13}=0.0769$

At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is

$n-1=51$

Therefore, the probability of drawing a three at the 2nd draw is

$p(t)=\frac{t}{n-1}=\frac{4}{51}=0.0784$

Then, at the third draw, the previous 2 cards are not replaced, so there are now

$n-2=50$

cards in the deck. So, the probability of drawing a jack is

$p(j)=\frac{j}{n-2}=\frac{4}{50}=0.08$

Therefore, the total probability of drawing an ace, a three and then a jack is:

$p(atj)=p(a)\cdot p(j) \cdot p(t)=0.0769\cdot 0.0784 \cdot 0.08 =4.82\cdot 10^{-4}$

4 0

3 years ago

Find the 14th term of the sequence using the explicit rule:

Vesna [10]

Plug n = 14 into the formula

= -5(14) + 90
= -70 + 90 = 20

5 0

2 years ago

I need help now please

LekaFEV [45]

Answer:

Step-by-step explanation:

A = ½(b1 + b2)h

A = (3 + 5)(3)/2

A = 12

8 0

2 years ago

Read 2 more answers

a building with a height of 14 m casts a shadow that is 16m long while a taller building casts a 24 meter long shadow. what is t

MissTica

26 meters. Hope this helps!

5 0

2 years ago

I cant understand this.

djverab [1.8K]

Multiply the top one by 3 for x, so you can eliminate x and find y

then plug in the y into one of the equations to find x

7 0

3 years ago