Answer:115 apex
Step-by-step explanation:
Answer:
r is the radius of the base and s is the slant height of the cone. From the options given, We can make s the subject of the formula. Hence: Option a) s equals StartFraction L A Over pi r EndFraction
Answer:
Last one at the bottom
Step-by-step explanation:
Recall that for a function to be valid, each input (x-value) must give exactly one unique output (y-value). If we find that any x-value gives more than one y-value, then it is not a function.
Option 1: x = 3 gives y = 2 and y = -2 (not a function)
Option 2: x = 5 gives y = 2 and y = 8 (not a function)
Option 3: x = 3 gives y = 4 and y = 5 (not a function)
Option 4: each x-value gives only one possible y-value (this is a function)
Answer:
value of a is -19
value of b is 10
Step-by-step explanation:
<u>Given</u>
p(x) = 6x³ + ax² + 9x + b
Since it is given (x-2) & (2x-1) are the factors of given polynomial p(x) .
So, x = 2 & x = -1/2 are the solutions of given polynomial .
<u>when </u><u>x </u><u>=</u><u> </u><u>2</u><u> </u>
p(2) = 6(2)³ + a(2)² + 9 (2) + b = 0
p(2) = 6×8 + 4a + 18 + b = 0
p(2) = 48 + 4a + 18 + b = 0
p(2) = 66 + 4a + b = 0
4a + b = -66 -------(i)
Now ,
when x = -½
p(-½) = 6(-½)³ + a (-½)² + 9(-½) + b = 0
6 × (-⅛) + a/4 - 9/2 + b = 0
-3/4 + a/4 - 9/2 + b = 0
-3 + a -18+4b/4 = 0
-21 + a + 4b = 0
a + 4b = 21 -------(ii)
Now, multiplying the equation (ii) by 4 we get
4a + 16b = 84 -----(iii)
Substracting equation (i) from (iii) we obtain
15b = 150
b = 150/15
b = 10
Now, putting the value of b = 10 in equation (ii) we get
a + 40 = 21
a = 21-40
a = -19
So, the required value of a & b are 10 & -19 respectively .
Answer:
__63.81 inches__< μ <___65.87 inches__
Step-by-step explanation:
To calculate at 95% confidence interval, we need the Mean of the sample= 64.84
Sample size=32
Standard Deviation=2.9592
95% Confidence Interval: 64.84 ± 1.03
(63.81 inches to 65.87 inches)
"With 95% confidence the population mean is between 63.81 and 65.87, based on 32 samples."
