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N76 [4]
3 years ago
10

Find the average rate of change of the function defined by the following table

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0
In short, the average rate of change is plainly the slope of the set, so we can pick any two points off there, say 2, 35 and 10, 115,

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{35})\qquad 
(\stackrel{x_2}{10}~,~\stackrel{y_2}{115})
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-35}{10-2}\implies \cfrac{80}{8}\implies 10
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So what’s the easiest way to get the answer? 80 = 720 divided by?
kolezko [41]

Answer:

57,600

Step-by-step explanation:

720 * 80 = 57,600

8 0
2 years ago
Read 2 more answers
Help me please, kinda lost
Dmitry_Shevchenko [17]

Answer:

400cm^2

Step-by-step explanation:

For this question, you need to find the surface areas of both objects, then add them together.

For the cube:

56cm for the front

56cm for the back

42cm for the side

42cm for the other side

48cm for the top

48cm for the bottom

SA for the cube: 292cm^2

For the triangle, things are a little different. We do the same process that we did to find the SA of the cube, but we do not have to find the SA of the top side (because there isn't a top side) and we have to divide the total SA by 2 because it's a triangle.

For the triangle:

42cm for the front

42cm for the back

54cm for the slanted side

42cm for the other side

36cm for the bottom

SA for the triangle: (216/2)^2=108cm^2

292+108=400cm^2

the SA of the composite figure is 400cm^2

8 0
3 years ago
∠1 ​ and ∠2 are supplementary.
ad-work [718]
Supplementary means the 2 angles add up to 180 so...

124+(2x+4)=180

124+2x+4=180

124+2x+4-4=180-4

124+2x=176

124-124+2x=176-124

2x=52

2x/2=52/2

x=26
plug in and check

124+2x+4=180

124+2 (26)+4=180

124+52+4=180

176+4=180

180=180


6 0
3 years ago
Solve for y<br> 4.2x - 1.4y = 2.1
Harlamova29_29 [7]
4.2x - 1.4y = 2.1    |multiply both sides by 10

42x - 14y = 21    |subtract 42x from both sides

-14y = 21 - 42x    |change signs

14y = 42x - 21    |divide both sides by 14

y = 3x - 1.5
8 0
3 years ago
The life times of light bulbs produced by a particular manufacturer have a mean of 1,200 hours and a standard deviation of 400 h
Nezavi [6.7K]

Answer:

a. 1200hours

b.  σ² = 400² =160000hour

c. standard error = 133.33

d. for 9 lightbulb it is likely that 9*0.146 = 1.31 bulbs will have lives of fewer than 1,050 hours?

Step-by-step explanation:

mean of 1,200 hours

σ, a standard deviation of 400 hours.

Sample size, N =  nine bulbs,

a) mean of the sample mean lifetime: is given as 1,200 hours

b) variance of the sample mean is the square of the  σ, a standard deviation of 400 hours.

σ² = 400² =160000hours

c) What is the standard error of the sample mean?

The standard deviation of a sampling distribution of mean values is called the standard error of the means,

standard error of the means,  σx = σ √N

The formula for the standard error of the means is true for all values infinite number of sample, N.

σx = σ √N

     =400  √9 = 400/3 =133.3333

d) the probability that, on average, those nine lightbulbs have lives of fewer than 1,050 hours

The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = ( x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 1050hours

x = mean of 1200hours

σ = standard deviation = 400

applying the formula,

z= (1050-1200)/400

z = 150/400 =0.375

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 0.375 corresponds to an area of 0.1460 between the mean value.

Thus the probability of a lightbulbs having lives of fewer than 1,050 hours is 0.1460.

for 9 lightbulb it is likely that 9*0.146 i.e. 1.31 bulbs will have lives of fewer than 1,050 hours?  

8 0
3 years ago
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