Help me with this :)))))))

The volume of a gold bar is 100cm cubed

Dahasolnce [82]

Answer:

1930g

Step-by-step explanation:

Mass = density × volume

Mass = 19.3×100 = 1930g

6 0

3 years ago

A deck of cards with four suits; hearts, diamonds, spades, and clubs. you pick one card, put it back and thennpick another card.

Llana [10]

1. First, let us find the probability that the first card is a diamond.

Now, since we are given that there are four suits and there are, assumably, an equal number of cards in each suit, we can say that the probability of choosing a diamond card is 1/4. We can also write this out as such, where D = Diamond:

Pr(D) = no. of diamond cards / total number of cards

There are 52 cards in a deck, and 13 cards of each suit, thus:

Pr(D) = 13/52 = 1/4

2. Now we need to calculate the probability of not choosing a diamond as the second card.

In many cases, when given a problem that requires you to find the probability of something not happening, it may be easier to set it out as such:

Pr(A') = 1 - Pr(A)

ie. Pr(A not happening, or not A) = 1 - Pr(A happening, or A)

This works because the total probability is always 1 (100%), and it makes sense that to find the probability of A not happening, we take the total probability and subtract the probability of A actually happening.

Thus, given that we have already calculated that the probability of choosing a Diamond is 1/4, we can now set this out as such:

Pr(D') = 1 - Pr(D)

Pr(D') = 1 - 1/4

Pr(D') = 3/4

3. Now we come to the final step. To find the probability of something and then something else happening, we must multiply the two probabilities together. Thus, given that Pr(D) = 1/4 and Pr(D') = 3/4, we get:

Pr(D)*Pr(D') = (1/4)*(3/4)

= 3/16

Thus, the probability of choosing a diamond as the first card and then not choosing a diamond as the second card is 3/16.

7 0

3 years ago

2. John earns a 3% commission for every car he sells. Today he sold a car for $13,600. How much commission did he receive? (To f

OlgaM077 [116]

Answer:

$408

Step-by-step explanation:

Find 3% of $13,600:

3 * 13,600 / 100 = $408

7 0

3 years ago

A car salesman sold three hybrid cars last week. The cars come in red, white, and black. A sale is listed as RWB if a red car wa

marysya [2.9K]

Answer:

black car

Step-by-step explanation:

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6 0

3 years ago

Drag the ordered pair that are 5.5 units apart.

Alexus [3.1K]

Answer:

(-1.5, -3.5) and (-1.5, 2)

Step-by-step explanation:

The x-coordinates in increasing order are ...

-3, -1.5, 5

The distances between pairs of these coordinates are ...

-1.5 -(-3) = 1.5

5 -(-3) = 8

5 -(-1.5) = 6.5

Clearly, any pair with x = 5 is too far away from any pair with a different x-value.

If the distance between pairs is 5.5, then the distance formula tells us the y-coordinate differences for pairs with x-coordinates of -3 and -1.5 must be ...

d = √((x2 -x1)^2 +(y2 -y1)^2)

5.5 = √(1.5^2 +(y2 -y1)^2) . . . substitute known values

30.25 = 2.25 +(y2 -y1)^2 . . . . square both sides

√28 = (y2 -y1) . . . . . . . . . . . . . . subtract 2.25 and take the square root

This value is irrational. Clearly none of the y-coordinates is irrational, so there are no point pairs with x-coordinates -3 and -1.5 that are 5.5 units apart.

__

If the x-coordinates are the same, then the y-coordinates must differ by 5.5 in order for the points to be 5.5 units apart. The coordinates in order are ...

for x = -1.5, y = -3.5, 2, 2.5 . . . . . differences of 5.5, 6, 0.25

for x = 5, y = -3.5, 1.5 . . . . . . . difference of 5

The only pair we can find that is 5.5 units apart is ...

(-1.5, -3.5) and (-1.5, 2).

6 0

3 years ago