Answer: 
Step-by-step explanation:
- A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
- An alternative hypothesis says that there is a statistical significance between two variables.
Claim 1. : Mean age of online dating service users is 40 years.
i.e. 
, since it has equals sign so we take this as null hypothesis.
Claim 2. : Mean age of online dating service users is not 40 years.
⇒ Null Hypothesis :
Alternative hypothesis :
Answer:
Step-by-step explanation:
<u>Use both points and find the slope:</u>
- m = (1 - 4) / (8 - 4) = - 3/4
<u>Find the line, using point-slope form and point (4, 4):</u>
- y - 4 = - 3/4(x - 4)
- y - 4 = - 3/4x + 3
- y = - 3/4x + 7
The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The normal yearly growth of a plant is 60 inches.
Let's suppose the growth of the plant last year was x
The normal growth was ten inches more than twice the amount of last year.
From the above statement:
10 + 2x = 60
2x = 50
x = 25 inches
Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.
Learn more about the linear equation here:
brainly.com/question/11897796
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Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.
Givens
a = x
b = x + 4
c = 20
Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2
Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20 Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0
2x^2 + 8x - 4 = 0 Divide through by 2
x^2 + 4x - 2 = 0
Use the quadratic formula
a = 1
b = 4
c = - 2
From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6) This is an extraneous root. No line can be minus.
x1 = + 0.4495
x2 = x + 4 = 4.4495
