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otez555 [7]
3 years ago
11

Will mark brainliest if correct! :)

Mathematics
1 answer:
fgiga [73]3 years ago
7 0

Answer:

The volume of cone = 1/3 vol of cylinder = 1/3 406.8 = 406.8/3 = 195.6

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Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea
elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) =  P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

  • The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725
  • There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

nCk=\frac{n!}{k!(n-k)!}

So, the number of ways to select exactly 3 aces is:

4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052

5 0
3 years ago
Graphing Natural Exponential Functions In Exercise, sketch the graph of the function.
strojnjashka [21]

Answer:

Step-by-step explanation:

Graph:  f(x) = 1 - ex

You meant f(x) = 1 - e^x, where ^ represents exponentiation.

First, graph the parent function y = e^x.  The y-intercept of this graph is (0, 1), and the x-axis is the horizontal intercept.  The graph begins on the left in Quadrant 2 and continues upward in Quadrant 1.

Next, reflect this graph in the x-axis, due to the - sign in f(x) = 1 - e^x.  The y-intercept is (0, -1) and the horizontal asymptote is the x-axis.

Finally, translate the whole graph upward by 1 unit.

5 0
3 years ago
A circle is inscribed in a square is 10 inch sides what is the circumference of the circle use 3.14 as an approximation for pie
MissTica

Answer:

31.4 inches

Step-by-step explanation:

If a circle is inscribed in a square then diameter of circle inscribed is same as  side as of square.

In the given problem it is given that side of square is 10 inches.

So diameter of  circle inscribed is 10 inches

we know radius of circle is half of  diameter of  circle

Thus, radius of circle inscribed = diameter of  circle/2 = 10/2 = 5inches.

Expression to calculate circumference of circle is given by 2\pi r

where r is the radius of circle.

Thus circumference of  circle inscribed is

2*\pi *5\\=> 10*3.14 \\=> 31.4

Thus, circumference of  circle inscribed is  31.4 inches

6 0
3 years ago
Number 10 !! I NEED HELP THANKYOU
Lunna [17]
You have to get from $30 to $21.75
21.75/30=0.725 x 100= 72.5% of the original price

7 0
3 years ago
Amanda is making pastry dough. She mixes of a 1/3cup of flour and of a 1/5 cup of sugar. If she wants to mix flour and sugar in
mr_godi [17]

Flour : sugar = (1/3) : (1/5) = 5 : 3 . . . . . . . . multiply the first ratio by 15 to eliminate fractions

The total of ratio units in the last representation is 5+3=8, so for a recipe of 16 cups, each ratio unit will stand for 16/8 = 2 cups.

Multiplying the ratio by 2 cups, we find Amanda will need

... 10 cups flour : 6 cups sugar

for her recipe.

4 0
3 years ago
Read 2 more answers
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