Answer:
Your Picture is just of -3????
Step-by-step explanation:
Answer:
A linear function has the form y=mx+b
A line has a proportional relationship if y/x is always the same ratio for any value.
The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.
A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.
In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.
This happens if they have the shape y=mx.
Step-by-step explanation:
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Answer:
2 cakes with the sugar she has and there will still be some sugar left.
Step-by-step explanation:
Amount of sugar in the cabinet of Cassie = 1/2 pound
Amount of sugar required by Cassie to make her cake recipe = 2/10 pound
= 1/5 pounds
Then
The number of cakes that Cassie can make = (1/2)/(1/5)
= 5/2
= 2 1/2
Answer:
Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
Step-by-step explanation:
We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.
So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;
Z =
~ N(0,1)
where,
= average age of the random sample of horses with colic = 12 yrs
= average age of all horses seen at the veterinary clinic = 10 yrs
= standard deviation of all horses coming to the veterinary clinic = 8 yrs
n = sample of horses = 60
So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(
12)
P(
12) = P(
) = P(Z
1.94) = 1 - P(Z < 1.94)
= 1 - 0.97381 = 0.0262
Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.
1. A. 550 meters.
this is because 2.5 km = 2500 meters, since there are 1000 meters in one kilometer.
therefore, 2500 - 1950 = 550 meters.
2. B. 126 inches.
this is because there are 12 inches in one foot, so we multiply 12 by 10 since there are 10 full feet. this leaves us with 120. then, we add half a foot, which is 6 inches. therefore, it is 126 :)