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3 years ago

What is the range of the data set 125,236, 185, 125, 201, and 155?

Mathematics

1 answer:

Debora [2.8K]3 years ago

3 0

Answer:

111

Step-by-step explanation:

Range is the difference between the highest and the lowest term.

Here highest term is 236 and lowest term is 125.

Range --> 236-125

=111

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4. Marcus invested $4280 in a savings account that compounds interest monthly

seraphim [82]

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3 years ago

A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

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3 years ago

How many towers can be built using 257 blocks

just olya [345]

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Answer: Lets say that each tower can be build with 1 block, then you can build 257 towers

Explanation:

I hope this helped!

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3 years ago

Is the value of the first 4 ten times as great as the value of the second 4 in 4,043? Explain. What can you generalize about the

Ira Lisetskai [31]

As per the the question we need to calculate the value of first 4 multiplied by 10.

Now in the number 4,043, the first 4 is at the thousands place. So the place value of first 4 in the digit 4,043 is 4000.

Multiplying the value of first 4 by 10 we get:

$4000 \times 10=40,000$

Now, the second 4 in the digit 4,043 is at the tens place. So the place value of second 4 in the digit 4,043 is 40.

We can see that two of them are not equal and the value of first 4 times ten is far greater than the value of second 4.

It can be said that two of the 4s in the digit 4,043 are at two different places, first is at thousands place and second is at tens place. So if the numbers are two places apart their place value will have difference of 100 folds.

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4 years ago

4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120

bezimeni [28]

If each game costs 2 tokens, 120 tokens would equal 60 games.

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3 years ago

What is the range of the data set 125,236, 185, 125, 201, and 155?​

What is the range of the data set 125,236, 185, 125, 201, and 155?