So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
We can prove that by saying the daughters age is x. Sahra's age must be 3x. Their sum must be x+3x = 4x.
So to get the daughters age we divide the sum by 4, which is 8.
Answer:
a. x > 0.2
Step-by-step explanation:
In either order, subtract the left-side constant and divide by the x-coefficient.
3x +2.4 > 3
3x > 0.6 . . . . . . subtract 2.4
x > 0.2 . . . . . . . divide by 3
__
or
x + 0.8 > 1 . . . . divide by 3
x > 0.2 . . . . . . . subtract 0.8
Answer:
∠MNO = 75°
Step-by-step explanation:
∠mno = 1/2 ( arc MLP - arc MOP )
arc MLP = 241 and arc MOP = 91
so ∠MNO = 1/2 ( 241 - 91 )
241 - 91 = 150
150/2 = 75
Hence, ∠MNO = 75°
Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is 
when 
. So
0.762 = 76.2% probability that this shipment is accepted
<h3>Given</h3>
The current balance is $420.
The current balance is 7/6 of the original balance, b
<h3>Find</h3>
equation to use to find b
<h3>Solution</h3>
Equate the two descriptions of the current balance.
... $420 = (7/6)b . . . . . equation to use to find b
