Hi there!
Great question! A number line can be used to round numbers to the nearest ten, hundred, even thousand because the numbers on the line can be closer to a ten or hundred. If you don't understand what I mean, check out the attached file!
It should help you with number lines.
Hope that helps!
Message me if you need anything else! I'd be happy to help you! :D
Answer: YES
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- Area of each stain=less than π/100 square feet
- Each one 3 feet from the nearest wall
- Area of rug: 9π square feet
- The centers of the stains are less than 4 feet apart.
First, we have to apply the formula AREA OF A CIRCLE(A)= π r², to obtain the radius of each stain:
π/100 = π r²
π/100 (1/ π)= π r²
1/100 = r²
√1/100 =r
r = 1/10 ⇒ radius of each stain
The centers of the stains are less than 4 feet apart, so:
Max diameter needed to cover is 4+ 1/10 + 1/10 = 21/5 = 4.2
Finally, we have to obtain the diameter of the rug to compare:
Area of rug: 9π
: 9π = π r2 ⇒ r= 3
⇒ d (diameter)= 3 x2 = 6
ft
With statements (1) and (2), we know that the diameter of the rug (6ft) can completely cover both stains (max distance is 4 .2ft)
Answer:
(a) 7.69%
(b) 25%
(c) 2.78%
Step-by-step explanation:
(a)
In a deck of 52 cards there are 4 aces.
The odds in favor or the probability of selecting an ace is:
Thus, the probability of selecting an ace from a random deck of 562 cards is 7.69%.
(b)
The outcomes of each toss of a coin is independent of the other, since the result of the previous toss does not affect the result of the current toss.
The probability that both the tosses will end up in heads is:
Thus, the probability that both the tosses will end up in heads is 25%.
(c)
The sample space of two dice consists of 36 outcomes in total.
Out of these 36 outcomes there is only 1 Boxcar, i.e. two sixes.
The probability of a boxcar when two dice are rolled is:
Thus, the probability of a boxcar when two dice are rolled is 2.78%.
Answer:
M will equal 8
Step-by-step explanation:
I got it right