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3 years ago

Explain how finding 4 x 384 can help you find 4 x 5384

Mathematics

1 answer:

lana [24]3 years ago

4 0

Because you can do the math of 4 times 5000 in your head *20,000* and then add what you got when you multiplied 4 × 384

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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

Evaluate 8x-6 when x=7

V125BC [204]

Answer:

Step-by-step explanation:

7 0

3 years ago

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Find general solution of 3sinx=2tanx

AveGali [126]

Step-by-step explanation:

remember, tan = sin/cos.

of course, one solution is x = 0. sin(0) = 0, tan(0)=0).

for the general solution we look at x <> 0.

3×sin(x) = 2×tan(x) = 2×sin(x)/cos(x)

3 = 2/cos(x)

3×cos(x) = 2

cos(x) = 2/3

x = 48.1896851...°

6 0

2 years ago

Is this a polygon? [(3x+12)•(4x+4)]-(3x+8)-(4x)=

AleksAgata [21]

Answer:

Not a polygon

Step-by-step explanation:

[(3x+12)•(4x+4)]-(3x+8)-(4x)

[12x² + 12x + 48x + 48] - 3x - 8 - 4x

12x² + 60x + 48 - 7x - 8

12x² + 53x + 40

This is a degree 2 (quadratic) polynomial, not a polygon.

A polygon is an n-sided figure.

Example: A rectangle --> A four-sided polygon

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2 years ago

The population of Baltimore was 520,000 in 2000. Now its 750,000. What was the change in population? What was the precent of cha

wariber [46]

The change is 230,000 people.

4 0

3 years ago

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