584 is the total number of students in the school.
5/8 are in seventh grade and 3/8 are in eighth grade.
4/5 of the seventh graders participated in the track meet, so there were (4/5 · 5/8) · 584 students in the seventh grade participating in the track meet.
7/8 of the eighth graders participated, so there were (7/8 · 3/8) · 584 students in the eighth grade participating in the track meet.
So, all together, there were
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 students from the school in the track meet.
Let's simplify as you asked:
(4/5 · 5/8) · 584 + (7/8 · 3/8) · 584 = [(4/5 · 5/8) + (7/8 · 3/8)] · 584 (distributive property - factoring)
= [20/40 + 21/64] · 584 (multiply fractions)
= (1/2 + 21/64) 584 (reduce the first fraction to lowest terms)
= (32/64 + 21/64) 584 (getting a common denominator)
= (53/64) 584 (combine/add the two fractions)
= 483.625 (multiply together)
All together, there were: 483.625 students in the meet.
The probability that the sample mean would be less than 43.4 dollars is 0.9292.
<h3>What is a probability?</h3>
Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.
From the information, the mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49 and a sample of 54 bags of shrimp is randomly selected.
Therefore, the probability will be:
P(x < 43.4)
Using normal distribution
= P(z < 43.4 - Mean( / 7/✓54)
= P(z < 43.4 - 42( / 7/✓54)
= P(z < 1.4697)
= 0.9292
The probability is 0.9292.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Just times everything by something
examples
10/12
20/24
160 is 25% of 640
PLEASE RATE AS THE BRAINLIEST ANSWER! THANK YOU! :)
Whenever there is no exponent on a variable,
you can give it an exponent of 1.
So we can rewrite the x's in this problem as x¹.
When we multiply two terms together
with like bases, we add their exponents.
So now just add their exponents to get x².
