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jasenka [17]
2 years ago
13

Engineers measure angles in gradients, which are smaller than degrees. The table shows the conversion of some angle measures in

degrees to angles in gradients. What is the slope of the line representing the conversion of degrees to gradients? Express your answer as a decimal rounded to the nearest hundredth.

Mathematics
2 answers:
loris [4]2 years ago
8 0
The table showing the conversion of angle measure in degrees to angles in gradients is attached below.

In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).

For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:

m= \frac{300-(-200)}{270-(-180)}  \\  \\ 
m= \frac{500}{450} \\  \\ 
m=1.11

So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11

dangina [55]2 years ago
6 0

Answer:

1.11

Step-by-step explanation:

i just got it right on edge

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The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.
DanielleElmas [232]

Answer: E(Y) = 1.6 and Var(Y)=1.12

Step-by-step explanation:

Since we have given that

X       0        1       2

P(X)   0.4   0.4    0.2

Here, number of games = 2

So, Y=X_1+X_2

Since X_1\ and\ X_2 are independent variables.

so, E[Y]=2E[X]\\\\Var[Y]=2Var[X]

So, we get that

E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56

So, E[y]=2×0.8=1.6

and Var[y]=2×0.56=1.12

Hence, E(Y) = 1.6 and Var(Y)=1.12

5 0
2 years ago
Your company has offices in 2 cities. The Denver office has 137 employees with an average salary of $67,013. The Anchorage offic
Charra [1.4K]

Alright, lets get started.

The Denver office has 137 employees with an average salary of $67,013.

So the total salay of all employees at Denver office will be = 137*67013

So the total salay of all employees at Denver office will be = $ 9180781

The Anchorage office has 25 employees with an average salary of $71,332.

So the total salary of employees at Anchorage office will be = 25 * 71332

So the total salary of employees at Anchorage office will be = $ 1783300

So, complete total salary of employees at both offices will be = 9180781+1783300

So, complete total salary of employees at both offices will be = $ 10964081

Total number of employees at both offices are = 137 + 25 = 162

So, the average salary of employee across the company = \frac{10964081}{162}

So, the average salary of employee across the company = 67679.5

Rounding off,

So, the average salary of employee across the company = $ 67680 : Answer

Hope it will help :)

7 0
2 years ago
Read 2 more answers
A number, x, rounded to 2 decimal places is 15.38<br>Write down the error interval for x.​
Stels [109]

Answer:

The error interval for x is:

[15.375,15.384]

Step-by-step explanation:

In order to determine the error interval for x, We have to get the all the number which could be rounded off to 15.38.

These number can be listed in order such as:

15.375   15.376   15.377   15.378   15.379   15.380   15.381   15.382   15.383   15.384  

Therefore, the error interval for x is:

[15.375,15.384]

5 0
2 years ago
Diana sold 336 muffins at the bake sale.Bob sold 287 muffins.Bob estimates that he sold 50 fewer muffins than Diana.how did he e
malfutka [58]

Step-by-step explanation:

Since we have given that

Number of muffins Diana sold at the bake sale = 336

Number of muffins Bob sold at the bake sale = 287

Now, here we are using the method of estimation i.e. rounding the integers to nearest ones.

By estimation, we get

Number of muffins Diana sold at the bake sale = 340

Number of muffins Bob sold at the bake sale = 290

So,

Difference between them is given by

340-290\\=50

Hence, Bob sold 50 fewer muffins than Diana.

3 0
2 years ago
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chubhunter [2.5K]

Answer: The correct option is 1.

Explanation:

The given piecewise function is,

y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x

It means if x<0, then

f(x)=-\frac{4}{5}x-3

If x\geq2, then

f(x)=3x-10

Since the f(x) is defined for x<0 and x\geq2, therefore the function f(x) is not defined for 0\leq x.

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for 0\leq x, hence the first option is correct.

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