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4 years ago

One number is 9 more than twice another. If their difference is 22, what is the larger number?

Mathematics

1 answer:

Burka [1]4 years ago

3 0

35 is the larger number

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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

Please help asap! Due tonight!

Contact [7]

Answer:

A, $\sqrt{17}$

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = $\sqrt{17}$

4 0

3 years ago

Read 2 more answers

Aisha worked 8 3/4 hours on thursday and 7 2/4 hours on friday. how many hours did she work during these days?

Nata [24]

8+7+3/4+2/4
= 15 5/4
= 16 1/4

8 0

3 years ago

25 points plz help what would it mean if the interquartile range was very small and if it was very large

zzz [600]

Answer:

I'll explain below

Step-by-step explanation:

Itmf it were to be large and small at the same time, it should be 0.

It can't be large and small at the same time.

If u want to study more about this, ask me through the comments.

I hope this helps u.

7 0

3 years ago

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.

Ivahew [28]

Answer:

46 jumping jacks per minute

Step-by-step explanation:

184/4= 46

3 0

3 years ago

Read 2 more answers