Answer:
Hi
Step-by-step explanation:
Is there like a multiple choice so I could answer it:)
Answer: D
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite of the angle and the hypotenuse. We can use the sine function to acquire the value of x°.
sin(x) = 7/13
Take the inverse sine on both sides by using a calculator to get:
x = 32.58°
<span>Let x = the miles Jeanie ran
y = the miles Jeanie biked
T = 2 hours total time for the duathlon
v1 = 8.5 mph Jeanie's running speed and
v2 = 16 mph Jeanie's biking speed
But T = Jean's time she ran t1 + time she biked t2 I. e t1 + t2 = 2
So we have average speed v2 when she biked = distance (y) / time (t2)
Distance y = v2 * t2 = 16 * t2 and distance when she ran x = 8.5 * t1
Since she covered 27 miles while running and biking we have
x + y = 27
8.5t1 + 16t2 =27 ------(1)
t1 + t2 = 2 --------------(2)
The simultaneous equation gives us
t1 = 2/3 and t2 which is time she biked = 4/3
So 4/3 = 1 1/3. Which is 1 hour 20 minutes</span>
Answer:
P = 0.0438 ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.
Due to the small sample size.
Step-by-step explanation:
H0: μ = 500
H1 : μ > 500
Test statistic :
(xbar - μ) / S.E
Tstatistic = (1000 - 500) / 200
= 500 / 200
= 2.5
Pvalue from Test score ; df = 4 - 1 = 3 ; using calculator :
Pvalue = 0.0438
At α = 0.05
Pvalue < α ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.
The test above has a very small sample size, and for a distribution to be approximately Normal, the sample size must be sufficiently large enough according to the Central limit theorem.
For a two sided analysis ; the Pvalue is twice that for the one sided, hence, Pvalue = (0.0438 * 2) = 0.0876 yielding a less strong evidence against the Null.
Let us represent number of one person tubes rented by x and, number of cooler tubes rented by y As per the situation, total tubes are 15, hence x + y = 15 equation 1 Also, total expenditure on tubes is $270, therefore 20x + 12.5y = 270 equation 2 Linear equation written above, equation 1 and equation 2 represent given situation. Now, let us solve these equations to find number of tubes rented Multiplying equation 1 by 20 and subtracting equation 2 from it, we get 20x + 20y - 20x -12.5y = 300 - 270 7.5y = 30 y = 4 and from equation 1, x + 4 = 15 gives, x = 11 Therefore, number of person tubes = 11, number of cooler tubes = 4
