Simply distribute the -3 across the b and -7.
-3(b - 7) = (-3 * b) + (-3 * -7) = -3b + 21
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Answer:
y = 1/2x - 2
Step-by-step explanation:
Slope intercept form:
y = mx + b
x - 2y = 4
-2y = -x + 4
2y = x - 4
y = 1/2x - 2
Answer:
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
The relation is not a function.
Step-by-step explanation:
Given the relation: t{(−1,0),(7,0),(−1,9),(−6,−9)}
In the ordered pairs:
- The domain is the set of all "x" values
- The range is set of all "y" values
- We do not need to list any repeated value in the range/domain more than once.
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
Next, we determine whether the relation is a function.
For a relation to be a function, each x must correspond with only one y value.
However, as is observed in the mapping attached below:
The x-value (-1) corresponds to two y-values (0 and 9)
Therefore, the relation is not a function.
1.Add the metal and wooden bats together
15+9=24
2. Create fraction
9/24
3.turn into a decimal by dividing numerator(top number) by denominator(bottom number).
9/24=0.375
4.multiply by 100 to get percentage
0.375*100=37.5
Therefore there is a 37.5 chance that he picks a metal bat
The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Learn more about z test at brainly.com/question/14453510
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