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blsea [12.9K]
3 years ago
7

Find an equation for the family of linear functions with slope 5.

Mathematics
1 answer:
blondinia [14]3 years ago
7 0
These linear functions would be in the form ƒ(x) = 5x + c, where c is an arbitrary constant. 
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The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc
ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

4 0
3 years ago
Write 3 equivalent expressions for 12x-36
morpeh [17]

Answer:

1) 24x-72; 2) 6x-18; 3) 2x-9

Step-by-step explanation:

You can divide it or multiply it by whatever number it is to make it a whole number, not a decimal. Or else it will be even more difficult.

4 0
3 years ago
Branliest to correct answer explain how you solved it please
nika2105 [10]

Answer:

{1}

Step-by-step explanation:

A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.

{1} is the answer since it is the only number that is in all three sets.

4 0
3 years ago
Please help me out with this problem!
MA_775_DIABLO [31]

Answer:

C

Step-by-step explanation:

The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.

Given y = f(x) then f(x + a) is a horizontal translation of a units

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here shift to the right of 1 unit, thus

y = f(x - 1)

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Note the y- coordinates are the negative of each other, thus

- y = f(x)

Now \frac{y}{-1} = - y, hence

The equation for the red graph is

\frac{y}{-1} = f(x - 1) → C

6 0
3 years ago
What is the value of x??
Feliz [49]

Answer:

I. 5

Step-by-step explanation:

  • 140° and 8x° are on the straight angle and they are both equal 180°

to find the value of x:

140 + 8x = 180

8x = 180 - 140

8x = 40

x = 40/8

x = 5

4 0
3 years ago
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