Answer:
121
Step-by-step explanation:
Given
f(x) = - (x + 8)(x - 14) ← expand factors using FOIL
= - (x² - 6x - 112) ← distribute by - 1
= - x² + 6x + 112
Given a quadratic in standard form. y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = - x² + 6x + 112 ← is in standard form
with a = - 1 and b = 6, thus
= -
= 3
Substitute x = 3 into f(x) for corresponding value of y
f(3) = - (3)² + 6(3) + 112 = - 9 + 18 + 112 = 121
vertex = (3, 121 ) ← with y = 121
Answer:
The Three way mixed ANOVA
Step-by-step explanation:
The Three factor repeated measures ANOVA analysis otherwise referred to as the Three way mixed ANOVA should be used for the analysis.
This is because we are comparing three independent variables in the context.
• People type (statistic lectures and students)
• Imagery type (positive, neutral and negative imagery)
• Repeated measure: Before and After images shown
• Measuring the dependent variable positive arousal as shown in the table attached to the answer.
After going through the table attached you will see that there should be performed a three factor repeated measures ANOVA analysis.
Option C
<u>ANSWER: </u>
For the given equation slope is so the correct option is c.
<u>SOLUTION: </u>
Given, line equation is
We need to find the slope of the given equation.
Above given equation is in the form of slope intercept form, i.e. y = mx + c
Where m is the slope and c is the intercept made on axis by this line.
By comparing the given equation and the general form, we can conclude that, m = and c = -3
hence, for the given equation slope is . so the correct option is c.
Answer:
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given that the sample size n =12 -volt car batteries</em>
<em>Let 'X' be a Random variable in a normal distribution</em>
<em>Given that mean of the normal distribution = 45 months</em>
<em>Given that the Standard deviation of the normal distribution = 8months</em>
<u><em>Step(ii):-</em></u>
Let X₁ = 3 years = 12 × 3 = 36 months
Let X₂ = 4 years = 12 × 4 = 48 months
<u><em>Step(iii)</em></u>:-
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = P(-1.125≤Z≤0.375)
= P(Z≤0.375) - P(Z≤-1.125)
= 0.5 +A(0.375) - (0.5-A(1.125)
= 0.5 + 0.1480 - (0.5 -0.3708)
= 0.1480 + 0.3708
= 0.5188
<u><em>Final answer:-</em></u>
The probability that Delta car batteries last between three and four years
P(36≤X≤48) = 0.5188
The percentage of that Delta car batteries last between three and four years
P(3≤X≤4) = 52%
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