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3 years ago

Evaluating expressions for the value of x 4.5x-12 x=2

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

4 0

X = 2

4.5(2) -12

9 -12

= -3

Answer is -3

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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

What is the volume of this composite solid

Rufina [12.5K]

There is no picture attached.
explanation:

7 0

3 years ago

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4y= -6x +8 find the y-intercept

ivanzaharov [21]

First, divide each side by 4 to get y alone on the left side.

y=-6/4x+2

The y intercept is 2

7 0

3 years ago

|3x-7| + 7 = 9 What is the first solution? Plzzz help

posledela

Answer:

3 and 5/3

Step-by-step explanation:

Solving in steps:

|3x-7| + 7 = 9
|3x-7| = 2

1. If 3x - 7 > 0

3x - 7 = 2
3x = 9
x = 3

2. If 3x - 7 < 0

3x - 7 = -2
3x = 5
x = 5/3

5 0

3 years ago

Which ratio shown below is NOT equivalent to − 15 23

Talja [164]

Answer:

what is the answer below

Step-by-step explanation:

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3 years ago