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3 years ago

A line that models the data is given by the equation

Mathematics

1 answer:

Mkey [24]3 years ago

8 0

Answer:

Kindly check explanation

Step-by-step explanation:

Give the line of best fit :

y = 1.62x + 18 ; where ;

y = wait time ; x = number of staffs available

If slope of the line is -1.62.

The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.

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See the picture Please help

Vikki [24]

Step-by-step explanation:

f(-5) goes through y=-9

So, f(-5) = -9

6 0

3 years ago

A 10 2/3 inch long pipe is cut into 8 equal length pieces.how long is each piece?

quester [9]

The answer is 1.33333333
Rounded off to 1.34

3 0

3 years ago

Read 2 more answers

Decide whether the statement is true or false. If it is false, explain why. The union of the solution sets of 4xplus5equals13,

postnew [5]

The given statement is false because it isn't an empty set!

Step-by-step explanation:

We have following sets of inequalities:

$4x+5=13\\4x+5>13\\4x+5$

From $4x+5=13$ we get ,

$4x = 8 \\x=2$

Therefore solution set is x=2.

Now, for $4x+5>13$ we get ,

$4x+5>13 \\4x>8\\x>2$

Therefore solution set is x>2.

For $4x+5$ we get ,

$4x+5$

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

4 0

3 years ago

NEED HELP ASAP !! WILL MARK BRAINLEAST SHOW WORK TOO !!!

irinina [24]

Step-by-step explanation:

$(1 + \cos(x) )(1 - \cos(x) )$

$1 - \cos {}^{2} (x)$

$= \sin {}^{2} (x)$

$\frac{1}{ \cot {}^{2} (x) } - \frac{1}{ \cos {}^{2} (x) }$

$\frac{1}{ \frac{ \cos {}^{2} (x) }{ \sin { }^{2} (x) } } - \frac{1}{ \cos {}^{2} (x) }$

$\frac{1}{ \cot {}^{2} (x) } - \frac{ \csc {}^{2} (x) {} }{ \cot {}^{2} (x) }$

$\frac{ - \cot {}^{2} (x) }{ \cot {}^{2} (x) }$

$- 1$

$\sec {}^{2} ( \frac{\pi}{2} - x ) )( \sin {}^{2} (x) - \sin {}^{4} (x))$

$( \csc {}^{2} (x) )( \sin {}^{2} (x) - \sin {}^{4} (x )$

$\csc {}^{2} (x) ( \frac{1}{ \csc {}^{2} (x) } - \frac{1}{ \csc {}^{4} (x) } )$

$1 - \frac{1}{ \csc {}^{2} (x) }$

$1 - \sin {}^{2} (x)$

$\cos {}^{2} (x)$

3 0

2 years ago

In the figure below, Ken's company has placed sprinkler heads at the center of the two small semicircles. The radius

Novay_Z [31]

Answer:

The answer is below

Step-by-step explanation:

The sprinklers have a radius of 5 ft each. Since the larger semicircle (entire lawn) has a diameter that is formed from the 2 semicircles, therefore the radius of the larger semicircle is 10 ft.

Area that wont be watered can be gotten by subtracting the area of the two smaller circles from the area of larger semicircle.

Area that wont be watered = 1/2(π * 10²) - 2[1/2(π * 5²)] = 50π - 25π = 25π ft²

6 0

3 years ago