Answers:
- A) The equation is d = 2t
- B) Independent variable = time; dependent variable = amount of cookies
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Explanation:
The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.
The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.
The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.
I would say 504 basing it off of converting 2/3 into 4/6 and used sets of 84 to each be 1/6
Answer: i think the answer is 320
Step-by-step explanation:
i say 320 because a square has 4 sides and there is 80 yards so all i did is multiply 80 x 4 = 320
Answer:
Mean = 78.2
Standard deviation = 5.8
Step-by-step explanation:
Mathematically z-score;
= (x-mean)/SD
From the question;
12% of test scores were above 85
Thus;
P( x > 85) = 12%
P(x > 85) = 0.12
Now let’s get the z-score that has a probability of 0.12
This can be obtained from the standard normal distribution table and it is = 1.175
Thus;
1.175 = (85 - mean)/SD
let’s call the mean a and the SD b
1.175 = (85-a)/b
1.175b = 85 - a
a = 85 - 1.175b ••••••••(i)
Secondly 8% of scores were below 70
Let’s find the z-score corresponding to this proportion;
We use the standard normal distribution table as usual;
P( x < 70) = 0.08
z-score = -1.405
Thus;
-1.405 =( 70-a)/b
-1.405b = 70-a
a = 70 + 1.405b ••••••(ii)
Equate the two a
70 + 1.405b = 85 - 1.175b
85 -70 = 1.405b + 1.175b
15 = 2.58b
b = 15/2.58
b = 5.81
a = 70 + 1.405b
a = 70 + 1.405(5.81)
a = 78.16
So mean = 78.2 and Standard deviation is 5.8
Answer:
y = 45x miles
Step-by-step explanation:
Speed is the rate of change of distance with time. Mathematically,
speed = distance/time
Given that Darla travels at a constant speed of 45 miles per hour and for y miles, it takes her x hours then
45 = y/x
multiply both sides by x
45x = y
then the number of miles (y) Darla can drive in x hours
y = 45x (in miles)
