<em>AB</em> + <em>ACB</em> = <em>A</em> (<em>B</em> + <em>CB</em>) = <em>A</em> (<em>I</em> + <em>C </em>) <em>B</em>
Taking the inverse gives
(<em>A</em> (<em>I</em> + <em>C </em>) <em>B</em>)⁻¹ = <em>B </em>⁻¹ (<em>I</em> + <em>C</em> )⁻¹ <em>A</em> ⁻¹
so the answer is (A)
Answer:
Bet
Step-by-step explanation:
Answer:
103
Step-by-step explanation:
We substitute x with 5:

Solve the exponent first:

<em>Note: We are using order of operations (consecutively)</em>
- <em>Parentheses </em>
- <em>Exponents</em>
- <em>Multiplication</em>
- <em>Division</em>
- <em>Addition </em>
- <em>Subtraction</em>
Multiply:
25 * 4 = 100
Add:
100 + 3 = 103
Our answer is 103
<em />
Answer:
Probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Step-by-step explanation:
We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.
<em>Let X = number of viewers for the American Idol television show</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean = 26 million
= standard deviation = 8 million
So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X
30)
P(X < 37) = P(
<
) = P(Z < 1.38) = 0.91621
P(X
30) = P(
) = P(Z
0.50) = 0.69146
<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>
Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Answer:
3² or 9
Step-by-step explanation:
Step 1: Add exponents

Step 2: Subtract exponents
You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.