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2 years ago

Find the range of the data set with the outlier {16, 15, 19, 14, 18, 20, 45, 22, 16, 25}.

1 answer:

8 0

The range is 31.

To find the range, you subtract the smallest number, in this case 14, from the largest number, in this case 45.

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

2 years ago

I need help with problem 2 please!

diamong [38]

You can use protractors I think

6 0

3 years ago

Read 2 more answers

Given the function h(w)=3w2−11w, solve for h(w)=−6.

Vesnalui [34]

Answer:

w = 2/3 AND w = 3

Step-by-step explanation:

Set 3w2-11w = -6

So 3w2-11w+6 = 0

Now factor: (3w-2)(w-3) = 0

So 3w-2 = 0 AND w-3 = 0

So w=2/3 AND w = 3

8 0

2 years ago

Sam wants to meet his friend Beth at a restaurant before they go to the ththeaterThe restaurant is nine kilometers south of the

nata0808 [166]

I suppose the restaurant's coordinates are (0, -9), but it is all relative, unless the coordinates of the restaurant have a y-value 9 less than the coordinates of the theater

4 0

2 years ago

Select the correct answer.

Finger [1]

Answer:

B The graph of g(x) is the graph of f(x) shifted to the right 6 unit

7 0

3 years ago