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kodGreya [7K]
3 years ago
7

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

Mathematics
2 answers:
ioda3 years ago
8 0
Equation A best represents the equation
11111nata11111 [884]3 years ago
5 0
From the question, we know that
(x₁,y₁) = (4,5)
(x₂,y₂) = (8,9)

Find the slope of the line with the formula of slope

m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Input the numbers
m = \cfrac{9-5}{8-4}
m = 4/4
m = 1
The slope of the line is 1

Using this formula, determine the line equation
y - y₁ = m(x - x₁)

Input the numbers
y - 5 = 1(x - 4)
y - 5 = x - 4
y = x - 4 + 5
y = x + 1
The correct answer is first option
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A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per
rewona [7]

Answer:

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

Explanation:

The following multiple choice responses are provided to complete the question:

A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).

B) The Pearson correlation results should be reported because the two variables are normally distributed.

C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.

Further Explanation:

A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed.  Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.

8 0
3 years ago
What number divided by -4 =64?
notka56 [123]
The number divided by -4 to get 64 was -256
6 0
3 years ago
What is the quantity proportional to 18/6
mario62 [17]

Answer:

18/6=3

Step-by-step explanation:

18/6÷3=6/2

6/2=3

7 0
3 years ago
A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on
777dan777 [17]

Answer:

8.95feet

Step-by-step explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor

7 0
2 years ago
PLZ SOLVE PIC ATTACHED BELOW
ludmilkaskok [199]

Answer:

\tan(51°)  =  \frac{10}{x}  \\x =  \frac{10}{ \tan(51°) }  \\ x = \frac{10}{1.235}  \\ \boxed{ x = 8.1}

<h3>★ Value of x is <u>8.1</u>.</h3>

\sin(51°)=  \frac{10}{H}  \\ h =  \frac{10}{ \sin(51°) }  \\ H=  \frac{10}{0.777}  \\  \boxed{H= 12.8676}

<h3>★ Value of H is <u>12.8676</u>.</h3>

Remember:

  • tan∅=Perpendicular/Base
  • sin∅=Perpendicular/Hypotenuse

4 0
3 years ago
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