Answer:
20 miles
Step-by-step explanation:
5 miles for every 2 hours. There are 4 groups of 2 hour blocks in 8 hours, so we multiply the 5 miles*4 2 hour blocks (5*4). That leaves us with 20 miles is 8 hours.
I think the mathematical equation for this sentence is
<em>(Step 1)</em>
4x-18=5 Add 18 to both sides to get the numbers on the same
+18 | +18 Side of the equals sign.
----------------------
4x =23
<em>(Step 2)</em>
4x =23 / 4 Divide equation by four
x=5.75 The answer is X=5.75
Hope I was able to help :)
Answer:
6/31
Step-by-step explanation:
4 1/3 divided by 5 1/6
Change the mixed numbers to improper fractions
4 1/3 = (3*4+1)/3 =13/3
5 1/6 = (6*5+1)/6 =31/6
13/3 ÷ 31/6
Copy dot flip
13/3 * 6/31
13*2/31
26/31
The question is asking what fraction should we end up multiplying by(the flip fraction)
That is 6/31
Answer:
Step-by-step explanation:
So an ellipse can be expressed in two different but very similar forms:
<u><em>Horizontal Major Axis:</em></u>
<u><em>Vertical Major Axis</em></u>:
In both equations the length of the major axis is "2a" and the length of the minor axis is "2b"
In the equation you provided, the major axis is horizontal, and the minor axis is vertical.
So looking at the horizontal length, you can see that it's 6, and since this ellipse has a horizontal major axis, that means 2a=6, which means a=3
Looking at the vertical length, you can see that it's 4, and since the ellipse has a vertical minor axis, that means 2b=4, which means b=2
The last thing to note is that the center of an ellipse is (h, k) in the equation, and since here the center is (0, 0) it's (x-0)^2 and (y-0)^2 in the denominator which is just x^2 and y^2
So let's plug in the values into the equation:
(h, k) = (0, 0)
a = 3
b = 2
Answer:
The probability that a cartridge purchased by a customer will have a video or audio defect is 1.9%
Step-by-step explanation:
The given parameters in the question are;
The percentage of cartridges that have video defects, P(X) = 1.6%
The percentage of cartridges that have audio defects, P(Y) = 0.7%
The percentage of cartridges that have both audio and video defects, P(X and Y) = 0.4%
The probability is with regards to inclusive evets
The probability of inclusive events 'X' and 'Y' which are events that can happen at the same time are given as follows;
P(X or Y) = P(X) + P(Y) - P(X and Y)
Therefore, we have;
P(X or Y) = P(Video or Audio) = 0.016 + 0.007 - 0.004 = 0.019
∴ P(Video or Audio) = 1.9%
The probability that a cartridge purchased by a customer will have a video or audio defect = 1.9%