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3 years ago

Desmond's Surf Shop had the following number of customers on each of the last ten days:

Mathematics

1 answer:

rewona [7]3 years ago

3 0

Answer:

A The mode does not change.

C The mean drops from 185.3 to 172.6.

Step-by-step explanation:

Mean of original data

Mean = (160 + 175 + 166 + 180 + 172 + 178 + 174 + 170 + 178 + 300)/10 = 1853/10 = 185.3

Mean with outlier removed

Mean = (1853 - 300)/9 = 1553/9 = 172.6

The mean drops from 185.3 to 172.6 when the outlier is removed.

Mode

The mode of a data set is the value that occurs most often.

Mode = 178

The mode does not change when you remove the outlier.

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3 years ago

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Shtirlitz [24]

Answer:

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Step-by-step explanation:

Given : Expression $16x^2+49$

To find : Factor the expression ?

Solution :

The given expression is a quadratic function $y=ax^2+bx+c$ the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

$x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}$

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$x=\frac{56i}{32},\frac{-56i}{32}$

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Factors are $(x-\frac{7i}{4}),(x+\frac{7i}{4})$

Therefore, $16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})$

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