Answer:
Step-by-step explanation:
the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:
r^2=0^2+4^2
r^2=16
r=4
so we can check that the other point is four units from the origin and thus also on the circle...
d^2=2^2+6^2
d^2=4+36
d^2=40
since d^2>r^2, (2,6) is outside the circle
Answer:
1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.
2) between 20 and 25 --> 21-25/2.9 = -1.38
Step-by-step explanation:
Problem #1:
- Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.
<h3><u>X < 20</u></h3>
- = z = 20 - 21/2.9/√25
- = z = -1/2.9/5
- = z = -1.72414
<h2><u><em>Now</em></u></h2>
<em>P-value from Z-Table:</em>
<h3><u>P(x<20) = 0.042341</u></h3>
Problem #2:
<h3>21-25/2.9 = -1.38</h3>
8x(x - 6)1/2 + 4(x - 6)3/2 = 0
8x(x) - 8x(6)1/2 + 4(x) - 4(6)3/2 = 0
8x² - 48x(1/2) + 4x - 24(3/2) = 0
8x² - 24x + 4x - 36 = 0
8x² - 20x - 36 = 0
x = <u>-(-20) +/- √((-20²) - 4(8)(-36))</u>
2(8)
x = <u>20 +/- √(400 + 1152)</u>
16
x =<u> 20 +/- √1552</u>
16
x = <u>20 +/- √(16 × 97)</u>
16
x = <u>20 +/- √16 √97
</u> 16<u>
</u>x = <u>20 +/- 4 √97
</u> 16
x = <u>20 +/- 4(9.848857802)</u>
16
x = <u>20 +/- 39.39543121</u>
16
x = <u>20 + 39.39543121</u> x = <u>20 - 39.39543121</u>
16 16
x = <u>59.39543121</u> x = <u>-19.39543121</u>
16 16
x = 3.71221445 x = -1.212214451
<u />
2 is 60, 1 is 60, 3 is 55, 4 is 120
Its A 7 considering you minus 13 which is 2 or 3 cups and 6 which is 6 or 7 cups, so 13-6=7
