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WINSTONCH [101]
3 years ago
11

rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track th

e robots, the southwest vertex of the rectangle is assigned coordinates (0, 0) and the northeast vertex is assigned coordinates (35, 25). (The robot that traveled the farthest distance began at (3, 18) and moved in a linear path to (31, 6). (What was the approximate distance traveled by the robot? Give your answer to the nearest whole number.
Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

30 ft.

Step-by-step explanation:

d = √((3 - 31)² + (18 - 6)²) = 30.46309

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If f(1) = 10, what is f(3)?
Margarita [4]

Answer: f(3)=30 my good sir

Step-by-step explanation:

I honestly just guessed

5 0
3 years ago
What is the answer to this....<br> 8.5 kg=?g
Natalija [7]
8.5 kg = 8500g! cheers :)
3 0
3 years ago
Read 2 more answers
Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 The test statistic for this problem equals _____.
givi [52]

Answer:

\chi^2 =\frac{81-1}{500} 625 =100

c. 100

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

n=81 represent the sample size

\alpha represent the confidence level  

s^2 =625 represent the sample variance obtained

\sigma^2_0 =500 represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is violated, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 500

Alternative hypothesis: \sigma^2 \neq 500

Calculate the statistic  

For this test we can use the following statistic:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

\chi^2 =\frac{81-1}{500} 625 =100

c. 100

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case 80. And since is a right tailed test the p value would be given by:

p_v =2*P(\chi^2 >100)=0.129

In order to find the p value we can use the following code in excel:

"=2*(1-CHISQ.DIST(100,80,TRUE))"

4 0
3 years ago
Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
Tamiku [17]

Answer:

The answer is

<h2>y =  \frac{1}{4} x -  \frac{19}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y=1/4x+5

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point

(2,-9) and slope 1/4 is

<h3>y + 9  =  \frac{1}{4} (x - 2) \\ y + 9 =  \frac{1}{4} x -  \frac{1}{2}  \\ y =  \frac{1}{4} x -  \frac{1}{2}  - 9</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x -  \frac{19}{2}</h3>

Hope this helps you

8 0
3 years ago
Ect the best answer for the question,
dlinn [17]
Look at the signs and turn it into an easier form:
35 - 13 + 8 + 6

= 36
5 0
3 years ago
Read 2 more answers
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