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3 years ago

What is the mean absolute deviation of the set of numbers {3, 7, 5, 6, 4}?

Mathematics

1 answer:

scoundrel [369]3 years ago

6 0

Answer:

Step-by-step explanation:

mean = sum of all values÷number of observation

= 3+7+5+6+4 ÷ 5

= 5

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Choose the equation that best represents the standard form of the following expression x^2/2=7x

zhenek [66]

Answer:

x^2 - 14x = 0

Step-by-step explanation:

x^2/2=7x

x^2=7x * 2

x^2=14x

x^2 - 14x = 0

7 0

4 years ago

Please help me solve this word problem please

leonid [27]

Answer:

it is 69

Step-by-step explanation:

do calculations

8 0

3 years ago

The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb

KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

$N(x)= -x^3+45x^2+1000$

where x is the number of inches of rainfall.

$N(x)= -x^3+45x^2+1000$

Differentiating with respect to x

$N'(x)= -3x^2+90x$

Again differentiating with respect to x

$N''(x)=-6x+90$

Now we set N'(x)=0

$-3x^2+90x=0$

$\Rightarrow -3x(x-30)=0$

$\Rightarrow x=0,30$

$N''(0)=-6.0+90=90>0$

$N''(30)=-6.30+90=-90$

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0

3 years ago

What is the area of triangle DEF?

FrozenT [24]

Answer:

$A=2\sqrt{14}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

<em>Find the semi-perimeter s </em>

s= $\frac{5+6+3}{2}=7\ units$

Find the area of triangle

$A=\sqrt{7(7-5)(7-6)(7-3)}$

$A=\sqrt{7(2)(1)(4)}$

$A=\sqrt{56}\ units^2$

simplify

$A=2\sqrt{14}\ units^2$

3 0

3 years ago

Which of the following statements are true?

bezimeni [28]

Answer:

A, B, and C are all true.

Step-by-step explanation:

A. 6 is neither a perfect square nor a perfect cube. True

B. 16 is a perfect square. True $4^{2}$

C. 27 is a perfect cube. True $3^{3}$

OD. 1,331 is both a perfect square and a perfect cube. False

E. 9 is a perfect cube. False

6 0

3 years ago