As the question is written, the <em>correct answer</em> is:
19519.
Explanation:
Our question states
y = 143.3(5)² + 1823.3(5) + 6820
To evaluate this, we use the order of operations (PEMDAS). There is nothing to be evaluated in parentheses, so P is taken care of.
The E part, exponents, is 5². This is 25, which gives us:
y = 143.3(25) + 1823.3(5) + 6820
Next we have M and D, multiplication and division (in the order they appear). Our multiplication is:
143.3(25) = 3582.5; and
1823.3(5) = 9116.5.
This gives us:
y = 3582.5 + 9116.5 + 6820
Lastly, we add these:
y = 12699 + 6820
y = 19519
The first thing we are going to do to solve the problem is to define what associative property is:
Associative property Property that is fulfilled if, given any three elements of a given set, it is verified that there is an operation that verifies equality
An expression that meets the definition is:
(x + 3) + 7 = x + (3 + 7)
We observe that both members of equality are identical, but written in different ways.
Answer:
B) (x + 3) + 7 = x + (3 + 7)
Answer:
1. x=11
Step-by-step explanation:
2x+5=27
Subtract 5 from both sides
2x=22
Divide 2 from both sides
x=11
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
The event that either M1 or M2 fails has probability
by the addition rule. Failure events are independent, so
so that
Denote this probability by 
. Then 
follows a geometric distribution with this parameter and has density
The expectation is 
.
