The first plane would be going about 23.83 km/h
Answer:
Check the explanation
Step-by-step explanation:
Below are the null and alternative Hypothesis,
Null Hypothesis, H0: μ = 300000
Alternative Hypothesis, Ha: μ < 300000
Test statistic,
z = (xbar - mu)/(sigma/sqrt(n))
z = (288000 - 300000)/(80000/sqrt(25))
z = -0.75
P-value Approach
P-value = 0.2266
As P-value >= 0.05, fail to reject null hypothesis.
Answer:
In solving an equation where one fraction is equal to another fraction we can use the method of cross-multiplication
⇒x+6x=107
Now multiply the red terms together, the blue terms together and equate them.
⇒10x=7(x+6)
distribute the bracket.
Answer:
c - a = 
Step-by-step explanation:
Since the parabolas intersect we can equate them, that is
2x² - 1 = - x² - x + 1 ← subtract terms on right side from terms on left side
3x² + x - 2 = 0
Consider the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 2 = - 6 and sum = + 1
The factors are + 3 and - 2
Use these factors to split the x- term
3x² + 3x - 2x - 2 = 0 ( factor the first/second and third/fourth terms )
3x(x + 1) - 2(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = 
Since c > a, then
a = - 1 and c = 
Thus
c - a =
- (- 1) =
+ 1 =
+
= 