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4 years ago

Max invests some money in a savings bond.

Mathematics

1 answer:

WITCHER [35]4 years ago

5 0

Answer:

£288150

Step-by-step explanation:

We'll use the formula

PRT/100= interest

But in this case we are looking for principal P

Rate= 2%

Interest= £5763

T=1

P= (I*100)/(RT)

P= (5763*100)/(2*1)

P= 288150

The principal is £288150

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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

podryga [215]

Answer:

The value is $n = 384$

The correct option is a

Step-by-step explanation:

From the question we are told that

The margin of error is E = 0.05

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally since the sample proportion is not given we will assume it to be

$\^ p = 0.5$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)$

=> $n = 384$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

Generally if the level of confidence increases, the critical value of $\frac{\alpha }{2}$ increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also

So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

8 0

3 years ago

Triangle E F G is shown. Angle G F E is a right angle. The length of G F is 3 and the length of E F is 4.6. Which equation could

PIT_PIT [208]

Answer:

the answer would be tan-1 (3/4.6)

8 0

3 years ago

Please solve 13 < m –25

Nadya [2.5K]

Answer:

m (is greater than) 38