Answer:
x = 2
y = -1
Step-by-step explanation:
Since it gives you the value of y already, just plug that into the equation, like so:
y = 4x - 9
x - 3 = 4x - 9
<em><u>Subtract the x from both sides:</u></em>
x - 3 = 4x - 9
-x - x
__________
-3 = 3x - 9
<em><u>Then, add 9 to both sides:</u></em>
-3 = 3x - 9
+9 + 9
________
6 = 3x
<em><u>Divide both sides by 3:</u></em>
2 = x
<em><u>Now plug in x for y:</u></em>
y = x - 3
y = 2 - 3
y = -1
The slope is the coefficient of x, which is 10, and the y-intercept is the constant, which is 5.
To solve this problem, we use the formula:
z = (x – u) / s
where z is the z score value which can be obtained from
the tables, x is the sample value, u is the mean = 6.3 min, and s is the std
dev = 2.2 min
at P value = 0.90, the z = 1.28, finding for x:
x = z s + u
x = 1.28 * 2.2 + 6.3
x = 9.116
at P value = 1.0, the z = 3.49, finding for x:
x = z s + u
x = 3.49 * 2.2 + 6.3
x = 13.978 ~ 14
Therefore the longest 10% calls last about 9.1 minutes to
14 minutes
Answer:
<u>11098 cm³</u>
Step-by-step explanation:
<u>Volume of top prism</u>
- V = 62 x 3 x (13 - 7)
- V = 186 x 6
- V = 1116 cm³
<u>Volume of bottom prism</u>
- V = 62 x 23 x 7
- V = 1426 x 7
- V = 9982 cm³
⇒ Total volume = Volume (top) + Volume (bottom)
⇒ Total volume = 1116 + 9982
⇒ Total volume = <u>11098 cm³</u>
Answer:
p = 5
Step-by-step explanation:
cross-multiply: 9 = p + 4
p = 5