Answer:
16/21
Step-by-step explanation:
Answer: A. 300 - 70h = 30
Step-by-step explanation:
Rest of the question is:
Which of these following equations represents the hours, h, the bus has travelled.
The driver is going at 70 kilometers per hour meaning that for every hour that passes, 70km has been traveled. Expression to find the distance travelled given hours is:
= 70h
There are 300km between the two cities and 30km are left in the journey. Expression is therefore:
300 - 70h = 30
This shows that when you find the distance travelled so far and deduct it from 300, you will get 30km.
The question can be solved as follows:

Hence the value of the given expression in scientific notation is expressed as:
The square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
<h3>What is a right-angle triangle?</h3>
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
First we have to find the line that goes through the points (0, 6) and (8, 0)
(y - 0) = (0-6)/(8-0)(x-8)
y = (-6/8)[x - 8]
Plug y = x
x = (-6/8)[x - 8]
After solving:
x = 24/7 or 3.428
y = 24/7 or 3.428
Thus, the square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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Answer:
Step-by-step explanation:
The formula for determining the confidence interval for the difference of two population means is expressed as
Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)
Where
x1 = mean sale amount for mail order sales = 82.70
x2 = mean sale amount for internet sales = 66.9
s1 = sample standard deviation for mail order sales = 16.25
s2 = sample standard deviation for internet sales = 20.25
n1 = number of mail order sales = 17
n2 = number of internet sales = 10
For a 99% confidence interval, we would determine the z score from the t distribution table because the number of samples are small
Degree of freedom =
(n1 - 1) + (n2 - 1) = (17 - 1) + (10 - 1) = 25
z = 2.787
Margin of error =
z√(s²/n1 + s2²/n2) = 2.787√(16.25²/17 + 20.25²/10) = 20.956190