Laura's age is 9 years.
Solution:
Let x be the age of April.
Laura's age = 2 years more than half of April's age
<u>Convert statement into algebraic expression:</u>
Half of April's age = 
2 years more than half of April's age = 
Combined age of April and Laura = 23
⇒ April's age + Laura's age = 23
To add the fractions make the denominators same.
Multiplying 2 on both numerator and denominator of unlike terms, we get
Denominators are same, now add the fractions.
Do cross multiplication.
Aprils's age = 14 years
Laura's age = 
= 7 + 2
Laura's age = 9
Hence Laura's age is 9 years.
We can use point slope form then convert to slope intercept
point slope
y-y1=m(x-x1)
m=slope
(x1,y1) is a givn point
point is (2,5)
slope is 3/4
y-5=3/4(x-2)
y-5=3/4x-6/2
add 5
y=3/4x-3+5
y=3/4x+2
Answer:
the answer is d
Step-by-step explanation:
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Answer:
The probability that exactly 19 of them are strikes is 0.1504
Step-by-step explanation:
The binomial probability parameters given are;
The probability that the pitcher throwing a strike, p = 0.675
The probability that the pitcher throwing a ball. q = 0.325
The binomial probability is given as follows;
Where:
x = Required probability
Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;
The probability that exactly 19 of them are strikes is given as follows;
Hence the probability that exactly 19 of them are strikes = 0.1504
