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loris [4]
3 years ago
15

From a standard deck of cards, what is the probability that you choose a red card and then a 3, assuming you replaced the first

card?
Mathematics
1 answer:
aalyn [17]3 years ago
4 0
1/26: 26 red cards make a 1/2 probability, there are 4 3s in a deck, making a 1/13 probability. Considering you don't take the cards and leave them, (1/2)1/13= 1/26
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Ben says the angle is an acute angle. Jeff says the angle is less than a straight angle. Explain whether their statements are co
Dahasolnce [82]

Answer:

sometimes, if their average angle is over 45 degrees

never are 2 obtuse angles summing to 180 degrees

always.  two 90 degree angles always sum to 180 which is a straight line

7 0
2 years ago
Plsssss help ASAP ;-;
lorasvet [3.4K]

Answer:

3x+2

Step-by-step explanation:

6x^{2} - 11x - 10 = (2x - 5)(3x+2)

So, \frac{6x^{2} - 11x - 10}{2x-5} = \frac{(2x-5)(3x+2)}{2x-5}

= 3x + 2

Hope this helps :)

5 0
2 years ago
On section AB, whose length is 192 cm, take the point C so that AC: CB = 1: 3. The point D is taken on the AC section so that CD
jasenka [17]

Answer:

  • 112 cm

Step-by-step explanation:

<u>Given:</u>

  • AB = 192 cm
  • AC : CB = 1 : 3
  • CD = BC/12
  • The distance between midpoints of AD and CB = x

<u>Find the length of AC and CB:</u>

  • AC + CB = AB
  • AC + 3AC = 192
  • 4AC = 192
  • AC = 192/4
  • AC = 48 cm

<u>Find CB:</u>

  • CB = 3AC = 3*48 = 144 cm

<u>Find the length of CD:</u>

  • CD = BC/12 = 144/12 = 12 cm

<u>Find the length of AD:</u>

  • AD = AC - CD = 48 - 12 = 36 cm

<u>Find the midpoint of AD:</u>

  • m(AD) = 36/2 = 18 cm

<u>Find the midpoint of CB:</u>

  • m(CB) = AC + 1/2CB = 48 + 144/2 = 48 + 82 = 130 cm

<u>Find the distance between the midpoints:</u>

  • x = 130 - 18 = 112 cm
4 0
2 years ago
1.06t can be written as (1.061/2)2t to give the approximate equivalent monthly interest rate based on an annual rate of 6%. Use
Tema [17]

Answer: 1.06^t.


Step-by-step explanation: We are given expression 1.06^t.

And 1.06^t expression is converted in (1.06^{1/2})^{2t}.

Now, we need to transform the expression into a single exponent expression using the properties of exponents.

We know, according to the properties of exponents

(a^m)^n = a^{m\times n}

Applying same rule in given expression, we get

(1.06^{1/2})^{2t} = (1.06)^{\frac{1}{2} \times 2t}

On simplifying exponents, we would get t in exponent.

=  1.06^t.

5 0
3 years ago
Read 2 more answers
This bar graph shows the number of hurricane in the Atlantic Basin from 2006-2011. Find the amount of change and the percent of
Arada [10]

Answer:

Step-by-step explanation:

Number of hurricanes in year 2008 = 8

Number of hurricanes in year 2009 = 3

Decrease in number of hurricanes = 8 - 3 = 5

Percent of decrease in number of hurricanes = \frac{5}{8}\times 100 = 62.5%

Number of hurricanes in year 2010 = 12

Number of hurricanes in year 2011 = 7

Decrease in number of hurricanes = 12 - 7 = 5

Percentage decrease in number of hurricanes = \frac{5}{12}\times 100 = 41.7%

Decrease in numbers of hurricanes in year 2010 - 11 was same as in year 2010 - 11.

Percentage decrease in hurricanes were more in year 2008 - 09 than percentage decrease in year 2010 - 11.

6 0
2 years ago
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