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sladkih [1.3K]
2 years ago
9

Helen ate 1/10 of a cake. She divided The remainder into 3 equal portions. What fraction of the cake was in each portion

Mathematics
1 answer:
Vlad1618 [11]2 years ago
6 0

Answer:

As she ate 1/10 of cake, we need to know how many cake remains after it, so we can substract:

1 - 1/10 = 10/10 - 1/10 = 9/10

Then, we need to divide the 9/10 into 3 portions:

(9/10) / 3 = 9/30 = 3/10

So we know the fractions would be 3/10 each on this situation..

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Danny walks at an average speed of 5 m/s foe 1 minute. Work out the distance that Danny has travelled in metres.
Dahasolnce [82]

Answer:

D = 300 m

Step-by-step explanation:

<u><em>Given :</em></u>

Speed = 5 m/s

Time = 1 min = 60 secs

<u><em>Required:</em></u>

Distance = ?

<u><em>Formula :</em></u>

Speed = Distance/Time

<u><em>Solution:</em></u>

Distance = Speed × Time

D = 5 × 60

D = 300 m

4 0
3 years ago
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alina1380 [7]

Answer:

60$ will be left

Step-by-step explanation: 30x8 = 240. subtract 300-240 and you get 60

8 0
3 years ago
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One pound of shrimp costs $6.00. How much does 7/8 pound of shrimp cost?
professor190 [17]
$5.25, because if you multiply $6 by 7/8(fraction form), you get $5.25
7 0
2 years ago
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Which phrase is the best description of the association between variables X and Y?
Elodia [21]
The variables have a negative association/correlation, because when one value increases (ex: x) the other decreases (see y)
If you would put a line through the dataset most of the points would be quite a bit off the line so the association is only moderate and not strong

so the answer is it is a "moderate negative association"
3 0
3 years ago
A film distribution manager calculates that 4% of the films released are flops. If the manager is correct, what is the probabili
Anit [1.1K]

Answer:

9.34%

Step-by-step explanation:

p = 4%, or 0.04

n = Sample size = 667

u = Expected value = n * p = 667 * 0.04 = 26.68

SD = Standard deviation = \sqrt{np(1-p)}  =\sqrt{667*0.04*(1-0.04)} = 5.06

Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?

This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35

Since,

Z = (X - u) / SD

We have;

Z = (33.35 - 26.68) / 5.06

Z = 1.32

From the Z-table, the p-value of 1.32 is 0.9066

1 - 0.9066 = 0.0934, or 9.34%

Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.

6 0
3 years ago
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