Here, the <em>standard deviation </em>is the best measure of the spread of a data set. The higher the standard deviation, the more spread out the distribution is. In this case, the distribution with the highest standard deviation (and therefore the greatest spread) is Distribution 3. Its low mean might be deceptive, but the value of a data set's mean has no effect on its spread.
Answer:
see explanation
Step-by-step explanation:
To find the zeros let h(t) = 0, that is
t² + 4t + 3 = 0 ← in standard form
(t + 3)(t + 1) = 0 ← in factored form
Equate each factor to zero and solve for t
t + 3 = 0 ⇒ t = - 3 ← smaller t
t + 1 = 0 ⇒ t = - 1 ← larger t
(2)
given a parabola in standard form : ax² + bx + c ( a ≠ 0)
Then the x- coordinate of the vertex is
= - 
h(t) = t² + 4t + 3 ← is in standard form
with a = 1 and b = 4, thus
= - 
= - 2
Substitute t = - 2 into h(t) for y- coordinate
h(- 2) = (- 2)² + 4(- 2) + 3 = 4 - 8 + 3 = - 1
Vertex = (- 2, - 1 )
Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
_____
The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:
This means we reject that all the three groups have same means.
Step-by-step explanation:
given that in a one-way ANOVA, we reject the statement in the null hypothesis if three treatment groups are being compared
In anova one way we compare the means of more than two groups.
The hypotheses are set up as
H0: Means of all three groups are equal against
Ha: atleast two means are different
When we find out F statistic by dividing SST by MST
we get p value.
Whenever p is less than significant level, we reject null hypothesis
This means we reject that all the three groups have same means.
Then we can go further to check up which pair is different by doing Tukey test or pairwise t test.
A horizontal line has a slope of 0. Remember the z in horizontal means zero. The slope of a vertical line is undefined.
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