Answer:
Check Explanation
Step-by-step explanation:
a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence
0.29938661 < p(japan) < 0.46984416
mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.
b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.
c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).
0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.
Hope this Helps!!!
4:30 PM! Because you have to add up all the time he spent doing these activities which is 3 hours and what time is three hours before 7:30? The answer is 4:30! Hope this helps!
Answer:
y= 5x+13
Step-by-step explanation:
<u>Slope- intercept form</u>
y= mx +b, where m is the gradient and b is the y-intercept.
Parallel lines have the same gradient.
y= 5x +4
Gradient of given line= 5
Thus, gradient of line= 5
Subst. m=5 into the equation.
y= 5x +b
To find the value of b, substitute a coordinate
When x= -2, y=3,
3= 5(-2) +b
3= -10 +b
b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= 13
Thus, the equation of the line is y= 5x +13.
Answer:
n = -9 or 9
Step-by-step explanation:
-1 + 5|n| = 44
~Add 1 to both sides
5|n| = 45
~Divide 5 to both sides
|n| = 9
~Knowing the absolute value rule, the answer can be positive or negative.
Best of Luck!
Answer:
<em> f ( x ) = - 2x^2 + 3x + 1</em>
Step-by-step explanation:
If f ( x ) extends to → − ∞, as x→ − ∞ , provided f(x) → − ∞, as x → +∞, we can rewrite this representation as such;
− ∞ < x < ∞, while y > − ∞
Now the simplest representation of this parabola is f ( x ) = - x^2, provided it is a down - facing parabola;
If we are considering a down - facing parabola, the degree of this trinomial we should create should be even, the LCM being negative. Knowing that we can consider this equation;
<em>Solution; f ( x ) = - 2x^2 + 3x + 1</em>, where the degree is 2, the LCM ⇒ - 2
