Step-by-step explanation:
<u>Step 1: Determine an ordered pair</u>
A solution of an equation just means that the point lies on the line. We can find any y-value when we plug in a specific x-value. For example, if we want to know what ordered pair lies at x=1, we just plug in y = -1/2(1) and solve for y which gives us -1/2. This gives us an ordered pair of (1, -1/2). We can continue to do this for any x value.
We can also reverse the order and plug in the y-value and get the x-value in order to accomplish the same goal but it's a bit harder.
Hope this helps!
Answer:
250 boys
Step-by-step explanation:
sum the parts of the ratio, 5 + 3 = 8 parts
Divide the total by 8 to find the value of 1 part of the ratio
400 ÷ 8 = 50 , then
number of boys = 5 × 50 = 250
Add the vertical distance between VU and the horizontal distance between UT and get the square root of what you added. That should be the answer.
Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability of a bulb lasting for at most 569 hours is the <u>p-value of Z when X = 569</u>, hence:
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
More can be learned about the normal distribution at brainly.com/question/24663213
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First you want to break down both numbers to prime factors so for 10 you would get 10=2x5 and 14 you would get 14=2x7 then you will want to take the greatest common factor of both which is 2 because it is the only factor that is shared between the two then you take the two beginning numbers and divide them by 2 because it is the greatest common factor and 5/7 is your anwser
