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3 years ago

In a survey conducted in an office, 60% of the sample respondents agreed that employees should have flexible working hours.

2 answers:

7 0

The % margin of error means that the real value is in the range between the mean less the margin error and the mean plus the margin error. This is [ mean - % of error, mean + % of error]. Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is<span> between 58% and 62%. </span>

kati45 [8]3 years ago

6 0

Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is between 58% and 62%.

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AnnZ [28]

Answer:

The average rate of change of $f(x) = x^2 +6x+13$ is 12

The average rate of change of $f(x) =- x^2 +6x+13$ is 10

Step-by-step explanation:

The average rate of change of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the secant line connecting the 2 points.

We can calculate the average rate of change between the 2 points by

$\frac{f(b) - f(a)}{b -a}$ -------------------(1)

(1) The average rate of change of the function $f(x) = x^2 +6x+13$ over the interval 1 ≤ x ≤ 5

f(a) = f(1)

$f(1) = (1)^2 +6(1) + 13$

f(1) =1+6+13

f(a) = 20---------------------(2)

f(b) = f(5)

$f(5) = (5)^2 +6(5)+13$

f(5) = 25 +30 +13

f(5) = 68-----------------------(3)

The average rate of change between (1 ,20) and (5 ,68 ) is

Substituting eq(2) and(3) in (1)

= $\frac{f(5) - f(1)}{5-1}$

= $\frac{68 -20}{5-1}$

= $\frac{48}{4}$

=12

This means that the average of all the slopes of lines tangent to the graph of f(x) between (1 ,20) and (5 ,68 ) is 12

(2) The average rate of change of the function $f(x) = -x^2 +6x+13$ over the interval -1 ≤ x ≤ 5

f(a) = f(-1)

$f(1) = (-1)^2 +6(-1) + 13$

f(1) =1-6+13

f(1) = 8---------------------(4)

f(b) = f(5)

$f(5) = (5)^2 +6(5)+13$

f(5) = 25 +30 +13

f(5) = 68-----------------------(5)

The average rate of change between (-1 ,8) and (5 ,68 ) is

Equation (1) becomes

$\frac{f(5) - f(-1)}{5-(-1)}$

On substituting the values

= $\frac{68 - 8}{5-(-1)}$

= $\frac{60}{5+1}$

= $\frac{60}{6}$

= 10

This means that the average of all the slopes of lines tangent to the graph of f(x) between (-1 ,8) and (5 ,68 ) is 10

4 0

3 years ago

Look at the number line below .the letters a,b,c and do all represent intehers

oksano4ka [1.4K]

I've already answered the question. So it is::
A is c and a because it's on the left of 0.
B is b and d because it's on the right of 0.
C is additive inverse.

3 0

3 years ago

Please help!! Is it true or false.

Schach [20]

Answer:

False

Step-by-step explanation:

3 and 3 add up

6,2,12 and 4 add up

But 9 and 7 don’t it should be like 9 and 18

4 0

3 years ago

The red lines on the diagram show the layout for a running event. Runners will race around the triangle-shaped grassy area. What

almond37 [142]

Answer:

Total distance = 5.754 km

Step-by-step explanation:

Red lines of the right triangle show the layout of the race course.

Total length of the race course = Perimeter of the triangle

Perimeter of the triangle = Sum of the measures of all three sides

= 1.83 + 1.524 + 2.4

= 5.754 km

Therefore, total distance of the race course is 5.754 km.

3 0

3 years ago

Find the exact value of x

Olin [163]

Answer:

7.07

Step-by-step explanation:

5sin90=xsin45

5/sin45=7.07

5 0

2 years ago