Answer:
<em>The expression is equivalent to 1,125</em>
Step-by-step explanation:
<u>Arithmetic Expressions</u>
It's given the word expression: "three squared times five cubed". It can be written in math form as:

Expanding the powers:

The expression is equivalent to 1,125
Hi sam, do you want to know the answer? Try using a protractor, you will see the degree is 125, its like a obtuse angle
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,

Compute the value of P (<em>X ∩ Y</em>) as follows:

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.
The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.
Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.
Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct