Answer:
Y1 intercept = 2
(0,2) (3,-7)
m= (-7 - 2) / (3-0) =-9/3 = - 3
Then y = - 3x + 2
Y2 intercept = - 8
(0,-8) (3,-7)
m = (-7 - - 8) / (3-0) = 1/3
Then y= (1/3)x-8
Answer:
(294π +448) cm³ ≈ 1371.6 cm³
Step-by-step explanation:
The half-cylinder at the right end has a radius of 7 cm, as does the one on top. Together, the total length of these half-cylinders is 8 cm + 4cm = 12 cm. That is equivalent in volume to a whole cylinder of radius 7 cm that is 6 cm long.
The cylinder volume is ...
V = πr²h = π(7 cm)²(6 cm) = 294π cm³
__
The cuboid underlying the top half-cylinder has dimensions 4 cm by 8 cm by 14 cm (twice the radius). So, its volume is ...
V = LWH = (4 cm)(8 cm)(14 cm) = 448 cm³
Then the total volume of the composite figure is ...
(294π +448) cm³ ≈ 1371.6 cm³
There should be 1,400 pages in an order that costs the same for both companies.
Let x be the unknown number of pages.
1st Company = 42 + 0.05x
2nd Company = 0.08x
0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
0.03x / 0.03 = 42 / 0.03
x = 1400 pages
To check
0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112
Answer:
0.01 is alpha level
Step-by-step explanation:
Given that a survey of a magazine of 1500 adults revealed that 12% chose chocolate pie.
i.e. p = proportion of people who like chocolate pie = 0.12
Margin of error = ±0.03
The value of q =1-\hat p , =1-0.12 = 0.88
The sample size n is given as 1500. Therefore, n=1500
The confidence level is given as 99%
Hence alpha = 1- confidence level
=1-0.99=0.01
Hence answer is 0.01
