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lora16 [44]
2 years ago
12

8.

Mathematics
1 answer:
kakasveta [241]2 years ago
8 0

Step-by-step explanation:

i just answered this.

the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.

in short

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit) - (interval lower limit)

upper limit = 0

lower limit = -2

the functional values (y) are 6 and 10 at these points.

so, we get

(6 - 10) / (0 - -2) = -4 / 2 = -2

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A certain shop repairs both audio and video components. Let A denote the event that the next
alexdok [17]

Answer:

0.12 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: next  component brought in for repair is an audio component

B: event that the next component  is a compact disc player

B \in A

P(A)= 0.6\\P(B) =0.05

We have to evaluate:

P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\P(B|A) = \dfrac{P(B)}{P(A)}\\\\P(B|A) = \dfrac{0.05}{0.6} = 0.12

0.12 is the required probability.

3 0
3 years ago
PLZ HELP DUE IN 20 MINS
Artemon [7]

Answer:

a. D and E are similar but not congruent.

Step-by-step explanation:

Let's analyse each statement and determine which is true about the 3 given quadrilaterals:

a. "D and E are similar but not congruent." TRUE.

D is similar to E because, every segment of D is proportional to the corresponding segments of E. The ratio of their corresponding segments are equal.

D and E are not congruent because their segments are not of equal length. Thus, they have the same shape but different sizes.

b. "E and F are similar and congruent." NOT TRUE.

E and F has the same size, hence they are congruent. However, they are not similar, because they don't have the same shape. Their corresponding lengths are not proportional.

c. "D and E are similar and congruent." NOT TRUE.

Since statement (a) is TRUE, statement (c) cannot be true.

D and E are similar because they have the same shape and the ratio of their corresponding sides are the same. D and E are not congruent, because they are not of the same size.

d. "F and D are similar but not congruent." NOT TRUE.

F and D has the same size but the ratio of their corresponding sides are not the same.

4 0
3 years ago
find the slope of the line containing the points (-1,6) and (3,5) put final.answer in slope-intercept form
Ugo [173]

Given the points (-1,6) and (3,5).

The formula to find the slope is

m=\frac{y_2-y_1_{}}{x_2-x_1}

Take

x_1=-1,y_1=6,x_2=3,y_2=5

Plug the values into the formula and find the slope.

\begin{gathered} m=\frac{5-6}{3-(-1)} \\ =\frac{-1}{4} \end{gathered}

The slope-intercept form is y = mx+b.

Plug the value of m.

y=-\frac{1}{4}x+b

ThusConsider the point (-1,6). Substitute -1 for x and for y into the equation.

\begin{gathered} 6=-\frac{1}{4}(-1)+b \\ =\frac{1}{4}+b \\ b=6-\frac{1}{4} \\ =\frac{23}{4} \end{gathered}

Thus, the equation of the line in slope intercept form is

y=-\frac{1}{4}x+\frac{23}{4}

3 0
10 months ago
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kykrilka [37]

Answer:

22

Step-by-step explanation:

22 is the answer cppyphxhpcpyx

7 0
2 years ago
What is the value of the expression shown below if x=3 y=6 and z=4<br><br> X^2+3yz
juin [17]

Simplify   ——

           x3

Equation at the end of step

1

:

                z2

 0-((((3x•(y4))•——)•y)•z4)

                x3

STEP  

2

:

Equation at the end of step

2

:

                z2

 0 -  (((3xy4 • ——) • y) • z4)

                x3

STEP  

3

:

Multiplying exponential expressions :

3.1    z2 multiplied by z4 = z(2 + 4) = z6

Equation at the end of step

3

:

      3y5z6

 0 -  —————

       x2  

STEP

4

:

Final result :

 -3y5z6

 ——————

   x2  

8 0
2 years ago
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