Answer:
The fraction of passengers remaining on the bus is 5/21
Step-by-step explanation:
To answer this question, we should choose any arbitrary value for the number of passengers on the bus initially.
We should have in mind that whatever value we shall be choosing, it should be a multiple of 3 and 7 since that is what we shall be dividing with.
Now, let’s choose the value 42 for the number of passengers originally at the on the bus.
At the first stop, 1/3 of the passengers exit. The number of passengers that exited will be 1/3 * 42 = 14
At the second stop, the number of passengers that exited is 3/7 of original. That would be 3/7 * 42 = 18 passengers
The total number of passengers that this have exited since we do not have any new addition to the original number is 18 + 14 = 32 passengers
Now the number remaining on the bus will be 42 - 32 = 10 passengers
This is equal to a fraction of 10/42 = 5/21
Answer:
Step-by-step explanation:
Given that in an investigation of pregnancy-induced hypertension, one group of women with this disorder was treated with low-dose aspirin, and a second group was given a placebo. A sample consisting of 50 women who received aspirin has mean arterial blood pressure 120mmHg and standard deviation 10mmHg; a sample of 42 women who were given the placebo has mean blood pressure 115mmHg and standard deviation 12mmHg.
Population variances are equal

(two tailed test at 5% significance level)
Here x denotes group I and Y group II
N Mean StDev SE Mean
Sample 1 50 120 10 1.4142
Sample 2 42 115 12 1.8516
Pooled std deviation = 10.9565
df=80
Mean difference= 5
Test statistic t = mean diff/std error =
=2.1803
p value = 0.0318
since p <0.05 we reject H0
b) We find p >0.01 hence at 1% significance level we accept H0
This implies that 99% confidence interval contains mean difference =0
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.
Answer: Area=113.1 ft²
Step-by-step explanation:
Area equation= πr2
1/4*π*d^2
1/4*π*12^2≈113.09734ft²
113.1 ft²