Answer:a=2.1 :)
Step-by-step explanation:a+(-1.6)=-3.7
+1.6 +1.6
a=-2.1
Answer:
c 20
Step-by-step explanation:
You make 53 a day plus 3.75 per sale
Income = 53+ 3.75 s
You want to make at least 128
128 ≤ 53+ 3.75 s
Subtract 53 from each side
128 -53 ≤ 53-53 +3.75s
75≤ 3.75s
Divide by 3.75 on each side
75/3.75≤ 3.75s/3.75
20 ≤ s
You must make at least 20 sales
Answer:
a) 1/2
b) 1/n
c) 1/4
Step-by-step explanation:
a) For each permutation, either 1 precedes 2 or 2 precedes 1. For each permutation in which 1 precedes 2, we can swap 1 and 2 to obtain a permutation in which 2 preceds 1. Thus, half of the total permutations will involve in 1 preceding 2, hence, the probability for a permutation having 1 before 2 is 1/2.
c) If 2 is at the start of the permutation, then it is impossible for 1 to be before 2. If that is not the case, then 1 has a probability of 1/n-1 to be exactly in the position before 2. We can divide in 2 cases using the theorem of total probability,
P( 1 immediately preceds 2) = P (1 immediately precedes 2 | 2 is at position 1) * P(2 is at position 1) + P(1 immediately precedes 2 | 2 is not at position 1) * P(2 is not at position 1) = 0 * 1/n + (1/n-1)*(n-1/n) = 1/n.
d) We can divide the total of permutations in 4 different groups with equal cardinality:
- Those in which n precedes 1 and n-1 precedes 2
- those in which n precedes 1 and 2 precedes n-1
- those in which 1 precedes n and n-1 precedes 2
- those in which 1 precedes n and 2 precedes n-1
All this groups have equal cardinality because we can obtain any element from one group from another by making a permutations between 1 and n and/or 2 and n-1.
This means that the total amount of favourable cases (elements of the first group) are a quarter of the total, hence, the probability of the event is 1/4.
Answer:
A. This is a vertical angle set. As you can see, they are cut by the transversal and have the exact same interior angle, so it is a vertical angle.
B. Since these too are vertical angles, all you have to do is just put each expression on the sides of an equation like so:
5y-29=3y+19
Once you do this, you just need to simplify the equation by putting like terms together, and then you will find the solution for y, which is 24.
C. We know that the solution for y is 24, so we need to plug it into the equation to find, the angle, so if we do 3*24-19, we get 53, so we need to subtract that from 180 degrees, which is the total angle of the straight line, then we can get 127 degrees, which is what angles <7 and <8 are.
Step-by-step explanation:
8 x 5 x 2 = 90
the volume of the book is 90
