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3 years ago

Need help with maths

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Answer:

Multiples of 9 are 9,18,27,36,45.

Multiples of 32 are 32,64,96,128,160

Prime numbers are 2, 3, 5, 7, 11,

Hope this helped

Andrej [43]3 years ago

7 0

Answer:

a) 9, 18, 27, 36, 45 b) 1, 2, 4, 8, 16, 32 c) 2, 3, 5, 7, 11

Step-by-step explanation:

a) To find the first five factors, you just need to multiply nine by 1, 2, 3, 4, and 5 and there are your answers :)

b) 1x32=32, 2x16=32, and 4x8=32, but none other whole numbers can multiply to get 32. So those are the factors of 32.

c) Prime numbers are ones who's only factors are 1 and themselves. 2, 3, 5, 7, and 11 are the first of the list because you will not find any other factors.

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soldi70 [24.7K]

Answer:

$Range= Max-Min= 10.2-8.7=1.5 inches$

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 0.50 inches$

$s^2 = 0.503^2 = 0.25 in^2$

D. The statistics are representative because they are taken from a random sample

Step-by-step explanation:

For this case we have the following data:

9.9 8.7 10.1 9.2 9.2 9.9 10.1 9.4 9.1 9.3 10.2

The data was colledted from a random sample of people selected in 1988.

We can order the dataset on increasing way and we got:

8.7 9.1 9.2 9.2 9.3 9.4 9.9 9.9 10.1 10.1 10.2

The range is defined as $Range= Max-Min= 10.2-8.7=1.5 inches$

The mean is defined as:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}= 9.555 inches$

The standard deviation can be calculated with the following formula:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 0.50 inches$

The sample variance would be just the deviation squared:

$s^2 = 0.503^2 = 0.25 in^2$

And since the data comes from a random sample then is representative fo the population data in 1988. So then the best answer for this case would be:

D. The statistics are representative because they are taken from a random sample

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