probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
<u>Step-by-step explanation:</u>
Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:
A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
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A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒ 
⇒ 
⇒ 
Therefore, probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
Answer:
Step-by-step explanation:
I am joyous to assist you at any time.
Answer:
16
Step-by-step explanation:
If we take the partial image to be 1/2 of a full image, then there are a total of
5 1/2 + 2 + 6 + 2 1/2 = 16
acorn images on the graph. Each image represents 4 acorns, so a total of ...
4 × 16 = 64
acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.
6. Take your compass and place the pointed edge on point B. Place one point on each side of B, each the same distance away from B. Next, place your compass on one of the two new points and extend your compass to draw a circle. Repeat with the SAME radian from the other point. Find where the two circles intersect with each other and draw a line from the points of intersection to point B. Place point A anywhere on that line that you just created and then you're done!
7. Select any place along either line and place point S on it. Next, using the same method as above, draw two circles with the same radius around both points S and R. Draw a line through the intersection points. Locate the intersection where your new line connects with the line across from the shared line of RS. Place a point at the intersection, for your reference, then connect that point to point S. Now you have completed this problem as well.
8. Use a straight edge to draw one line. Place points A and B on each end. Use the circle method yet again to find a line perpendicular to line AB. Next, take your compass and set it to the distance from point A to B. Use that same distance to make a point on the perpendicular line. This creates point C. The final step is to connect A with C and B with C.
9514 1404 393
Answer:
- Josh: 32 mph, 64 mi
- Greg: 64 mph, 320 mi
Step-by-step explanation:
Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...
distance = speed · time
distance = x · 2 = 2x
Then 2x is Greg's rate of travel After 5 hours, his distance is ...
distance = speed · time
distance = (2x) · 5 = 10x
The distance they are apart is ...
10x -2x = 256
8x = 256
x = 32
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Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.
Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.
<em>__</em>
<em>Check</em>: 320 miles - 64 miles = 256 miles . . . . correct separation
