Answer: 540
Step-by-step explanation:
Given : The owner of a stereo store wants to advertise that he has many different sound systems in stock.
Number of different CD players =6
Number of different receivers= 10
Number of different speakers = 9
We are assuming that a sound system consists of one of each .
Then by Fundamental principle of counting , we have
The number of different sound systems can he advertise = (Number of different CD players)x (Number of different receivers) x(Number of different speakers)
= 6 x10 x 9 =540
Hence, the number of different sound systems can he advertise =540
The answer is a. -7
1. Find g(2).
2. Find f(g(2)).
g(x) = x² - 6x - 7
x = 2 ⇒ g(2) = ?
g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15
2. f(x) = x + 8
g(2) = -15
f(g(2)) = f(-15) = -15 + 8 = -7
Answer:
the last picture
Step-by-step explanation:
the one where the line hits the -3 mark on the y-axis
Answer:
r ≤ 29, r-5
The sale price can be compared with the regular price, r-5 ≤ 24
Step-by-step explanation:
Amount to spend = $24
Regular price = r
Sale = $5
Sale Price = r-5
The regular price will be $5, at the max, more than the amount Roopesh has to spend.
The sale price will be $24 or less than that for Roopesh to afford.
Inequality for regular price:
r-5 ≤ 24
r ≤ 29
So, the product Roopesh can afford is $29 or less than that.
What is the unknown? r ≤ 29
Following expression can represent the sale price:
Sale price = r-5
The sale price can be compared with the regular price with the following:
Inequality representing the situation: r-5 ≤ 24
Answer:
At least 547 records need to be studied.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
.
And the margin of error is:
95% confidence interval
So 
, z is the value of Z that has a pvalue of 
, so 
.
In this problem, we have that:
At least 547 records need to be studied.
