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chubhunter [2.5K]
3 years ago
12

Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a heart and the sec

ond card is red
Mathematics
1 answer:
Pavel [41]3 years ago
5 0

Answer:

25/208 or 12.2%

Step-by-step explanation:

P(heart) = 13/52 = 1/4

P(red) = 26/52 = 1/2

because we are not replacing the first card drawn, the deck has 51 cards remaining

P(heart, red) = 1/4 × 25/52

= 25/208 or 12.2%

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The length of the line segment joining the midpoints of sides AB and BC of the parallelogram ABCD is 10. Find the length of diag
solniwko [45]

Answer:

The length of the diagonal AC=20 cm.

Step-by-step explanation:

From ΔOBP and ΔABC, we have

\frac{OB}{AB}=\frac{BP}{BC}( O and P are mid points)

∠B=∠B(Common)

Therefore, by SAS rule,

ΔOBP is similar toΔABC

Thus, \frac{OB}{AB}=\frac{OB}{2OB}=\frac{1}{2}

⇒\frac{OP}{AC}=\frac{1}{2}

⇒AC=2{\times}OP

⇒AC=2{\times}10

⇒AC=20 cm

Thus, the length of the diagonal AC=20 cm.

5 0
3 years ago
The time t required to travel a fixed distance varies inversely as the speed r. it takes 5h to drive the fixed distance at a spe
Pavel [41]
Let t be time and r be rate, then if time varies inversely with the rate, the equation is t= \frac{k}{r}.  If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.5= \frac{k}{80}.  Solve for k by multiplying 5 and 80 to get that k = 400.  Now let's find a new time t when r is a rate of 70.  We will use that k value to do this: t= \frac{400}{70} and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph.  Makes sense that it takes longer to drive a fixed distance when you are going slower.

7 0
4 years ago
Help please ?.........
jeyben [28]
The to this question is 10x and 70y
8 0
3 years ago
3 consecutive integers for 273
a_sh-v [17]

Answer:

90, 91 and 92

Step-by-step explanation:

Given

Consecutive integers = 273

Required

Find the integers

The question seem to be incomplete. However, I'll assume we're dealing with sum.

Let the smallest integer be y.

So,

y + y + 1 + y + 2 = 273

Collect like terms.

y + y + y = 273 - 2 - 1

3y = 270

Divide both sides by 3

y = 90

Hence, the integers are 90, 91 and 92

8 0
3 years ago
Suppose both the mean and median of a distribution are 24. Which of these
kow [346]

Answer:

D is the correct answer.

3 0
3 years ago
Read 2 more answers
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