There are four properties of multiplication namely commutative, associative, multiplicative identity and distributive. The equation given defines the commutative property of multiplication where two numbers are multiplied, the product will still be the same no matter what is the order of the multiplicands.

3 0

3 years ago

Read 2 more answers

Shankar has decided to train to be a Carbucks Barrista. Being young and inexperienced, for every order he makes a mistake in mak

astra-53 [7]

Answer:

Step-by-step explanation:

Since each trial is independent of the other

no of mistakes he does is binomial with p = 1/3

a) the probability that he makes no mistakes on his first 10 orders but the 11th order is a mistake

= $(\frac{2}{3}) ^{10} *\frac{1}{3}\\=\frac{2^{10} }{3^{11} }$

b) Prob that shanker quits = P(Shankar does I one mistake and Fran does not do the first one)+Prob (Shanker does mistake in the II one while Fran does both right)

= $\frac{1*5}{3*6} +\frac{2}{3} \frac{1}{3}(\frac{5}{6})^2 =\frac{5}{18} +\frac{50}{216} \\=\frac{55}{108}$

6 0

3 years ago

Polygon ABCD has vertices A(1,3) , B(1,6) , C(4,6) , and D(5,2) .

Bond [772]

Answer:

check below for explanation.

explanation:

➢ Given coordinates:

A( 1, 3 )
B( 1, 6 )
C( 4, 6 )
D( 5, 2 )

➢ after a dilation with a scale factor of 1/2:

A( 1, 3 ) ÷ 2 ☛ A'(0.5,1.5)
B(1, 6 ) ÷ 2 ☛ B'(0.5, 3)
C( 4, 6) ÷ 2 ☛ C'( 2, 3 )
D( 5, 2) ÷ 2 ☛ D'( 2.5, 1)

➢ Plot the after dilation coordinates on the graph:

check the image below:

5 0

2 years ago