Answer:
(x^2 - 4)(x^2 - 3)
Step-by-step explanation:
Let y equal to x^2. We can rewrite the expression as:
y^2 - 7y + 12
Now, we have to look for numbers that have a product of 12 and a sum of -7. These numbers are -3 and -4. We can factor the equation:
(y - 4)(y - 3)
Now, we can substitute x^2 back in(we defined y as x^2 before):
(x^2 - 4)(x^2 - 3)
Answer:
(8.213 ; 8.247)
Step-by-step explanation:
Given the data :
No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Dia. 8.23 8.16 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24
Sanple size, n = 15
Sample mean, xbar = Σx / n = 123.45 / 15 = 8.23
The sample standard deviation, s = √(x -xbar)²/n-1
Using calculator :
Sample standard deviation, s = 0.03116
s = 0.031 (3 decimal places)
The 95% confidence interval :
C.I = xbar ± (Tcritical * s/√n)
Tcritical at 95%, df = 15 - 1 = 14
Tcritical = 2.145
C.I = 8.23 ± (2.145 * 0.031/√15)
C.I = 8.23 ± 0.0171689
C.I = (8.213 ; 8.247)
Answer:
power of quotient
Step-by-step explanation:
We have been given an expression and we are asked to choose the correct rule to simplify our given expression.
Since our given expression is a fraction raised to 3rd power. Power of a quotient rule states when a quotient is raised to an exponent, then the exponent is distributed to both numerator and denominator of the quotient.
Using power of a quotient rule, we will get, (\frac{p}{q} )^3=\frac{p^3}{q^3}
Answer:
31
Step-by-step explanation:
In circle S: XB and XD are tangents at B and D
then SB perpendicular to AX and SD perpendicular to XC
In triangle SDX: SD = 12 and SX =20 by using Pythagoras Theorem
XD = XB tangents to circle S from point X
XA = XC tangents to circle R from point X
then BA = DC = 15
then XC = XD + DC = 16 + 15 = 31