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muminat
3 years ago
10

Write the equation of the line in slope intercept form for the lone with a slope of 1/3 and a y intercept of (0,4)

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

y=\frac{1}{3} x+4

Step-by-step explanation:

Slope-intercept from is:

y=mx+b

m is the slope and b is the y-intercept. Insert slope:

y=\frac{1}{3}x+b

The y-intercept is at point (0,4). The y-intercept is when x equals 0, so take the value of y and insert into the equation:

y=\frac{1}{3} x+4

Finito.

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Afina-wow [57]

The point would be at (-6,5) I believe. Sorry if this is incorrect.

4 0
3 years ago
Of all the numbers whose difference is 36​, find the two that have the minimum product
scZoUnD [109]

Answer:

54,18

Step-by-step explanation:

Let one of the numbers be x. The other number be represented as 36-x

(x-(36-x ) = 36

open brackets

x - 36 + x  =  36

x + x = 36+ 36 = 72

2x = 72

x = 72/2 = 36

x =  36

The product can then be represented as y = x(36-x) or y=36x-x²

 The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.

In our case, the axis of symmetry is -36/-2, so x=18.

 

If one number is 18 and the 2 numbers differentiate by 36, the other number is 18 + 36 = 54

So the 2 numbers are 18 and 54 and the minimum product is 972

8 0
3 years ago
A random sample of 25 roundtrip flights between Philadelphia and Dallas has an average airfare of $393.50 with a sample standard
Sauron [17]

Answer:

$393.50+/-$19.72

= ( $373.78, $413.22)

Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $393.50

Standard deviation r = $50.30

Number of samples n = 25

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

$393.50+/-1.96($50.30/√25)

$393.50+/-1.96($10.06)

$393.50+/-$19.7176

$393.50+/-$19.72

= ( $373.78, $413.22)

Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)

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3 years ago
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