Answer:
Step-by-step explanation:
Given that a study found that the average stopping distance of a school bus traveling 50 mph was 264 feet.
Sample taken showed the following results

Since population std deviation is known and sample size is large, z test can be used.

(Left tailed test)
Mean difference = 
Std error = 
Z = test statistic = mean diff/std error
= 
p value = 0.00017
Since p < alpha our 0.05 we reject null hypothesis
There is evidence to show that mean is less than 264 feet
(Assumptions:
Sample are randomly drawn
Sample represents the population
Answer: 2.3
Step-by-step explanation:
=
x
1.8
\cos 40=\frac{1.8}{x}
cos40=
x
1.8
x\cos 40=1.8
xcos40=1.8
Cross multiply.
\frac{x\cos 40}{\cos 40}=\frac{1.8}{\cos 40}
cos40
xcos40
=
cos40
1.8
Divide each side by cos 40.
x=\frac{1.8}{\cos 40}=2.3497\approx 2.3\text{ feet}
x=
cos40
1.8
=2.3497≈2.3 feet
Answer:
d. x = 1 1/3
Step-by-step explanation:
Step 1: Add 5/6x to both sides.
Step 2: Multiply both sides by 2/3.
ANSWER:
- x – 3y = 2 ...(1)
- 2x – 6y = 6 ...(2)
On solving eq(1), we get
Plug the value of x in eq(2)
- 2x – 6(x - 2/3) = 6
- 2x – 2(x – 2) = 6
- 2x – 2x + 4 = 6
- 0 = 6 – 4
- 0 ≠ 2
So, given system of equations is not correct.