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3 years ago

Step by step please and thank you.

Mathematics

1 answer:

cupoosta [38]3 years ago

8 0

Answer:

the probability is 2/9

Step-by-step explanation:

Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).

p(dime first) = 4/10 = 2/5

Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.

The joint probability of these two events occurring sequentially is the product of their probabilities:

p(dime then nickel) = (2/5)×(5/9) = 2/9

_____

<em>Alternate solution</em>

You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.

p(dime/nickel) = 20/90 = 2/9

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A right rectangular pyramid is sliced parallel to the base, as shown.

ELEN [110]

The answer would be the first choice. $15 cm^{2}$

Explanation: The reason for this is that the question was pretty much just asking what the area of the resulting two-dimensional cross section would be -the shape in gray- (which can be found by using the formula $lw$ . To add on, since the dimensions of the shape are already given (5 and 3) all you've to do is multiply: 3*5=15

That's how you get to the answer.

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3 years ago

Read 2 more answers

Sarah has gone four weeks. Micah has been recording the daily high temperature. During that time, the high temperature has been

pickupchik [31]

The experimental probability that the high temp will be below 45 F on the 29th day is, 4.5 out of 29 days, that is because 20 of the days have had lower temperatures, so they left 9 days of and from those 9 days, they could be lower or greater that 45F (50% each side), that is:
4.5/29 = 0.155 = 15.5%
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3 years ago

What is the value of u + v + w when u = –10, v = 4, and w = 8?

Y_Kistochka [10]

The answer is b. 2. It is 2, because -10 plus 4 is -6. Then -6 plus 8 is 2.

5 0

4 years ago

Wen takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. what does s5 represent

steposvetlana [31]

$S_{n} = \frac{ a_{1}(1- r^{n}) }{1-r}$ $a_{1} = 100000, r=1.03, n=5$
$S_{5} = \frac{100000(1- 1.03^{5}) }{1-1.03} = \frac{100000(-.159)}{-.03} =530,000$

So after 5 years she is making $530,000.

Hope that helps

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3 years ago

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box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am

Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0

3 years ago