2 years ago

An experiment is carried out 400 times.

Mathematics

1 answer:

MissTica2 years ago

6 0

Answer:

You would expect the outcome to be void 240 times

Step-by-step explanation:

1000 x 0.24

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Colin spends 1/3 of his wages on rent and 1/4 on food. If he makes £636 per week, how much money does he have left?

uysha [10]

Answer:

£265

Step-by-step explanation:

Total fraction of money spent= $\frac{1}{3} +\frac{1}{4}$

= $\frac{7}{12}$

Actual money spent = $\frac{7}{12}$ * £636

= £371

Money he has left = £(636 - 371)

= £265

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Which is greater 2m or 275cm

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There is 100 centimeters in 1 meter.

Change the meter to centimeter. Multiply: 2 x 100 = 200

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Mateus’s bank issued an advertisement saying that 90\%90%90, percent of its customers are satisfied with the bank’s services. Si

densk [106]

Answer:

The probability of getting a sample with 80% satisfied customers or less is 0.0125.

Step-by-step explanation:

We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.

Let $\hat p$ = sample proportion of satisfied customers

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion of satisfied customers = 90%

n = sample of customers = 80

Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( $\hat p \leq$ 80%)

P( $\hat p \leq$ 80%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.80-0.90}{\sqrt{\frac{0.80(1-0.80)}{80} } }$ ) = P(Z $\leq$ -2.24) = 1 - P(Z < 2.24)

= 1 - 0.9875 = 0.0125

The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.

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2 years ago