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Sloan [31]
2 years ago
9

What is the gradient of the blue line???? help please

Mathematics
1 answer:
Maru [420]2 years ago
8 0

Answer:

-5

Step-by-step explanation:

gradient = change in y ÷ change in x

gradient = -5 ÷ 1 = -5

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What three ratios are equivalent to 5 to 2
Hoochie [10]

Answer:

10:4, 15:6, 20:8

hope that helps.

5 0
3 years ago
Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar
lord [1]

Given:

Area of a circle, A=50.265 sq. units.

Radius of circle, r = 4 units.

To find:

The value of π to the nearest thousandth.

Solution:

Formula for area of a circle is

A=\pi r^2

\dfrac{A}{r^2}=\pi

Ar^{-2}=\pi

Now, using Ar^{-2} expression, we can find the value of π.

\pi=50.265904(4)^{-2}

\pi=\dfrac{50.265904}{4^2}

\pi=\dfrac{50.265904}{16}

\pi=3.141619

Approximate the value to the nearest thousandth (three digits after decimal).

\pi\approx 3.142

Therefore, the approximated value of π is 3.142.

8 0
3 years ago
How many miles is 2/3
Hoochie [10]

1 mile = 1760 yards

=2/3*1760

2*586.66

=1173.33 yards


hope this helps

5 0
3 years ago
Assume that the paired data came from a population that is normally distributed. using a 0.05 significance level and dequalsxmin
Artemon [7]
"<span>Assume that the paired data came from a population that is normally distributed. Using a 0.05 significance level and d = (x - y), find \bar{d}, s_{d}, the t-test statistic, and the critical values to test the claim that \mu_{d} = 0"

You did not attach the data, therefore I can give you the general explanation on how to find the values required and an example of a random paired data.

For the example, please refer to the attached picture.

A) Find </span><span>\bar{d}
You are asked to find the mean difference between the two variables, which is given by the formula:
\bar{d} =  \frac{\sum (x - y)}{n}

These are the steps to follow:
1) compute for each pair the difference d = (x - y)
2) sum all the differences
3) divide the sum by the number of pairs (n)

In our example: 
</span><span>\bar{d} =  \frac{6}{8} = 0.75</span>

B) Find <span>s_{d}
</span><span>You are asked to find the standard deviation, which is given by the formula:
</span>s_{d} =  \sqrt{ \frac{\sum(d - \bar{d}) }{n-1} }

These are the steps to follow:
1) Subtract the mean difference from each pair's difference 
2) square the differences found
3) sum the squares
4) divide by the degree of freedom DF = n - 1

In our example:
s_{d} = \sqrt{ \frac{101.5}{8-1} }
= √14.5
= 3.81

C) Find the t-test statistic.
You are asked to calculate the t-value for your statistics, which is given by the formula:
t =  \frac{(\bar{x} - \bar{y}) - \mu_{d} }{SE}

where SE = standard error is given by the formula:
SE =  \frac{ s_{d} }{ \sqrt{n} }

These are the steps to follow:
1) calculate the standard error (divide the standard deviation by the number of pairs)
2) calculate the mean value of x (sum all the values of x and then divide by the number of pairs)
3) calculate the mean value of y (sum all the values of y and then divide by the number of pairs)
4) subtract the mean y value from the mean x value
5) from this difference, subtract  \mu_{d}
6) divide by the standard error

In our example:
SE = 3.81 / √8
      = 1.346

The problem gives us <span>\mu_{d} = 0, therefore:
t = [(9.75 - 9) - 0] / 1.346</span>
  = 0.56

D) Find t_{\alpha / 2}
You are asked to find what is the t-value for a 0.05 significance level.

In order to do so, you need to look at a t-table distribution for DF = 7 and A = 0.05 (see second picture attached).

We find <span>t_{\alpha / 2} = 1.895</span>

Since our t-value is less than <span>t_{\alpha / 2}</span> we can reject our null hypothesis!!

7 0
3 years ago
Please solve the math problem below<br><br> x3y3-x4y2
tino4ka555 [31]

Answer: xy

Step-by-step explanation:

Combine like terms to get 9xy-8xy

Then subtract the coefficient to get 1xy

Your finally answer is xy because you don’t need to include the coefficient of 1

4 0
3 years ago
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