Part A
For Todd's class, we have this given info:
- mu = 70.6 = population mean of math scores
- sigma = 11.9 = population standard deviation of math scores
Compute the z score for x = 74.6
z = (x-mu)/sigma
z = (74.6 - 70.6)/(11.9)
z = 0.34 approximately
Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.
<h3>Answer: 0.34</h3>
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Part B
For Garret's English class, we have:
Compute the z score for x = 68.8
z = (x-mu)/sigma
z = (68.8 - 63.7)/(8.6)
z = 0.59 approximately
<h3>Answer: 0.59</h3>
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Part C
Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.
<h3>Answer: Garret did relatively better</h3>
The cost with the coupon is $0.76 less.
3.79 - 3.03
Answer:
radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 5)² + (y + 3)² = 25 ← is in standard form
with r² = 25 ⇒ r = = 5
Answer:
width is 8 cm
length is 3 cm
Step-by-step explanation:
Let w = width
l = w-5
The perimeter is
P =2 (w+l)
Substitute into the equation
P = 2 (w + w-5)
Combine like terms
P = 2 (2w-5)
Distribute
P = 4w-10
We know the perimeter is 22
22 = 4w-10
Add 10 to each side
22+10 = 4w-10+10
32 = 4w
Divide by 4
32/4 = 4w/4
8 = w
The width is 8
Now find the length
l = w-5
l = 8-5
l=3