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miv72 [106K]
4 years ago
7

Suppose a number from 1 to 100 is selected at random. what is the probability that a multiple of 4 or 5 is chosen?

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0
The range 1-100 is 100 numbers, divide by 4 and 5 to find the number of multiples.
100/4 = 25
100/5 = 20

probability of choosing multiple of 4
25/100 = 1/4
probability of choosing multiple of 5
20/100 = 1/5

the probabilities are not mutually exclusive because there are duplicate numbers, (overlap) multiples of both 4 and 5 being counted twice. 5/100 = 1/20
20, 40, 60, 80, 100

when "or" is used, add the probabilities, subtract the duplicates.

1/4 + 15 - 1/20 =
5/20 + 4/20 - 1/20 = 8/20 = 2/5
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On a 16 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
Oksanka [162]
Multiply 16*3 to get 48, the bike is 48 units so 16:1,16/1=16. So the answer would be 16. Hope I helped! 
4 0
3 years ago
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Brilliant_brown [7]
Y ≥ 2x-5
y-intercept is -5, from there go 2 up 1 over ( slope is rise over run)
greater than or equal so the line is connected
now find the shaded area by plugging in (0,0)
0 ≥2(0)-5
0 ≥-5 is correct so shade the area that to the left of the line, (the whole area that including (0,0))

y<-3x
y intercept is 0 so start from there and go down 3 right 1 (or go up 3 left 1)
broken like cause no or equal sign
the (0,0) is on the line so use (1,1) to find the answer
1<-3(1) is incorrect so shade the area that dies not include (1,1) or the entire area to the left of that line

you can see the section where both shaded area cross, thats the answer so erase every area you shaded that isn’t the answer so
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3 0
4 years ago
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Can someone please help me with b, d, and 9-13? I already drew a number line, thanks in advance! :)
inessss [21]
B)
\frac{3}{13}  = s
d)
\frac{5}{4}  = s
9) I'm not really sure how to answer it, but I guess like 2.1, 2.2, 2.5, etc.,

10)
{2}^{2}  = 4
{3}^{2}  = 9
so {5, 6, 7, 8} is the answer

11) for some reason it won't let me insert a picture but put place
\sqrt{4}
above 2, and then place
\sqrt{9}
above 3, and then place
\sqrt{7}
in between 2 and 3, but place it a little closer to three since
\sqrt{7}  = 2.65
12) place
\sqrt{5}
between 2 and three, but closer to two since
\sqrt{5}  = 2.24
and also
\sqrt{5}  <  \sqrt{7}
and for number 13) the square root of 144 is 12, and the square root of 169 is 13, so any numbers between 12 and 13 will work.


I hope this helped and if not, message me and ill try to explain!
8 0
3 years ago
Please Help! I will give you a lot of points if you do! (Ch.5.2)
Verdich [7]

Answer:

11,703 feet

Step-by-step explanation:

Since absolute value is never negative, just add the distances to get the full span. Just think of above sea level as positive and below sea level as negative.

8 0
3 years ago
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A van traveling at a speed of 32.0 mi/h needs a minimum of 42.0 ft to stop. If the same van is traveling 67.0 mi/h, determine it
makkiz [27]

Answer:

Δx= 184.12 ft

Step-by-step explanation:

The equation you need to use is velocity as a function of displacement.

v^2= u^2 +2a(\delta x)

v = the speed at which the car is travelling,

and

v_o is the original speed (in this case zero).

The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).

32^2= 0^2+ 2a\times42

solving we get

a= 12.19

now put this acceleration value into the second case when v= 67mi/h

67^2= 0^2 + 2\times12.19(change in x)

⇒Δx= 184.12 ft

5 0
3 years ago
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