Your #5 solution is already correct.
A linear function has the form y=mx+b
you have noticed that y increases by 5 for every 10 steps along x. Therefore, your slope m is 5/10=1/2.
b is your y value at x=0
so y=(1/2)x+5
Additionally, you can calculate it with 2 points
using (10, 10) and (20, 15) and the elimination method just inserting x and y into the basic form
I:10=10m+b
II:15=20m+b
subtraction of II from I:
-5=-10m
-1=-2m
->m =1/2
insert this in I again:
10=10*(1/2)+b
10=5+b
5=b
again y=(1/2)x+5
Answer:
x=4
Step-by-step explanation:
<h2>Mark as brainliest if it helps . </h2>
The answer is: m∡1 = 34° .
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Note:
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m∡5 = m∡1 = 34° .
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Answer: 2.18 kilometres
Step-by-step explanation:
First we take down the information given to us
Maria's house to library (distance) = 3.56 km
Simon's house to library (distance) = 1.38 km
Now to get how farther Maria lived from the library compared to Simon, we subtract the distance between the library and Simon's house from the distance between the library and Maria's house
i.e
3.46km - 1.38km = 2.18km
there for Maria lived 2.18 kilometres farther from the library compared to Simon.
The probability of rolling a 2 is 1/6. If X is a random variable representing the number of 2s that are obtained after rolling a die 23 times, then X follows a binomial distribution with success probability p = 1/6 across n = 23 trials.
The variance of a binomial distribution with parameters p and n is n p (1 - p), so the standard deviation in this case would be
√(23 • 1/6 • 5/6) ≈ 1.8
