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timofeeve [1]
2 years ago
8

Harriet has £600.

Mathematics
2 answers:
Mrac [35]2 years ago
4 0

Answer:

£210

Step-by-step explanation:

1/4 of 600= 150

2/5 of 600= 240

240 + 150= 390

600 - 390 = 210

She has £210 left

galina1969 [7]2 years ago
3 0
7/20 is the fraction she has left.

1/4 + 2/5= 13/20 she has spent so she has 7/20 left.
You can also check this by adding the 150 + 240 = 390 she has spent and 210 she left to spend. 210/600 = 7/20
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We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

z=\frac{x-\mu}{\sigma}

z=\frac{38-38}{6}=\frac{0}{6}=0

Now we will find z-score corresponding to 56.

z=\frac{56-38}{6}=\frac{18}{6}=3

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is -3\sigma\text{ to }3\sigma.

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

\frac{99.7\%}{2}=49.85\%

Therefore, approximately 49.85\% of lightbulb replacement requests numbering between 38 and 56.

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3 years ago
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lara [203]

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