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nasty-shy [4]
3 years ago
5

A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?

Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

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Compare.<br><br> 140/130 _____ 104%
Gnoma [55]

Answer:

140/130 > 104%

Step-by-step explanation:

When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%

8 0
2 years ago
In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B
Galina-37 [17]

Answer:

Two standard deviations

Step-by-step explanation:

The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;

one standard deviation lie within 68% of the mean

Two standard deviations lie within 95%

Three standard deviations lie within 99.7%

Hence, for the question given, 95% fall within 2 standard deviations of the mean

4 0
2 years ago
How do I solve 1 and 2?
LuckyWell [14K]
H=+15 m
v=+5 m/s
Ball hits the ground when h(t)=-15m
h(t)=-9.8t^2+vt+h
=>
-15=-9.8t^2+5t+15
9.8t^2-5t-30=0
Solve for t, using quadratic formula,
t=-1.513 or t=2.023
reject negative root due to context, so
t=2.023 seconds

2)
h(t)=-16t^2+20t+8
a. height before pitch is when t=0, or h(0)=8
b. highest point reached when h'(t)=-32t+20=0 => t=5/8 seconds
c. highest point is t(5/8)=-16(5/8)^2+20(5/8)+8=47/5=9.4 m
d. ball hits ground when h(t)=0 => solve t for h(t)=0
=> t=-0.3187 seconds or t=1.569 seconds.
Reject negative root to give
time to hit ground = 1.569 since ball was pitched.

5 0
3 years ago
If 't' bags of chips cost $c, what is the cost of 5 bags of chips?
allsm [11]

Answer:

$ (C/t ) × 5

= $ 5C/t

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4 0
1 year ago
In boot camp, a cadet must use a rope swing to cross an obstacle without falling into the water hazard below. Unfortunately, the
horrorfan [7]

Answer:

3.04m

Step-by-step explanation:

Time taken to swing the rope = 3.5s

Length of the rope = L

T = 2π√(L / 9.8)

3.5 = 2π√(L / 9.8)

take the square of both sides

(3.5)² =[2π√(L/9.8)]²

12.25 = 39.48 × (L / 9.8)

12.25 = 39.48L / 9.8

39.48L = 12.25 × 9.8

39.48L = 120.05

L = 120.05 / 39.48

L = 3.04m

The length of the rope is 3.04m

7 0
3 years ago
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