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svlad2 [7]
3 years ago
14

ou draw one card from a​ 52-card deck. Then the card is replaced in the deck and the deck is​ shuffled, and you draw again. Find

the probability of drawing a nine the first time and a heart the second time
Mathematics
1 answer:
julsineya [31]3 years ago
3 0

Answer: Our required probability is \dfrac{1}{52}

Step-by-step explanation:

Since we have given that

Number of cards in a deck = 52

Number of nines = 4

Number of hearts = 13

It is the case of replacement.

Probability of drawing a nine the first time and a hear the second time is given by

\dfrac{4}{52}\times \dfrac{13}{52}\\\\=\dfrac{1}{13}\times \dfrac{1}{4}\\\\=\dfrac{1}{52}

Hence, our required probability is \dfrac{1}{52}

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150 is 100% of what number?
andriy [413]

Answer:

150 is 100% of 150

Steps to solve "150 is 100 percent of what number?"

We have, 100% × x = 150

or,

100

100

× x = 150

Multiplying both sides by 100 and dividing both sides by 100,

we have x = 150 ×

100

100

x = 150

If you are using a calculator, simply enter 150×100÷100, which will give you the answer.

3 0
2 years ago
The millers are going to put a pool in their backyard this summer. The pool will have a depth of 5 feet, and the dimensions show
erica [24]

Answer:

D : 510 units

Step-by-step explanation:

NOTE:

Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)

WORK:

I broke down this shape into two rectangles with the following dimensions:

- 12 meters by 5 meters

- 3 meters by 14 meters

You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)

Using this information, you can now solve for the volume of each of the rectangles

12*5*5 = 300 units

3*14*5 = 210 units

Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals

510 units

3 0
2 years ago
Which expression has the same value as 12 − 6 ÷ 3
Juli2301 [7.4K]
Answer is a.
Due to BIDMAS/BODMAS
anything that is first, in this case division, goes into brackets.
6 divided by 3 would go into brackets making you solve that first then u would subtract your answer by 12 making your answer 4

Answer is a.

a.
5 0
2 years ago
Read 2 more answers
Charlie used a regression calculator to generate the equation f(x) = –0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 2
aivan3 [116]
Answer: The r<span>-value for the linear function related to the ordered pairs is very close to zero, so it is not a good representation of the data. A quadratic model would better represent the data because there is a turning point within the data set. The data increases then decreases, which is what the graph of a quadratic does. </span>
8 0
3 years ago
Read 2 more answers
Find the surface area of the triangular prism shown below .
Wewaii [24]

Answer:

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

7 0
3 years ago
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