Do it as simply as possible. 5000 × 2 = 10000. 60 × 10000 = 600000. Because multiplying by a factor of 10 is the easiest possible, always try to get a factor of 10 every time.
<u>Answer:</u>
The correct answer option is 48.
<u>Step-by-step explanation:</u>
In the given experiment, three events take place which include rolling a die, flipping a coin and spinning a spinner.
The possible outcomes of each of these events are as follows:
Rolling a die - 6
Flipping a coin - 2
Spinning a spinner - 4
Therefore, by multiplying their possible outcomes, we can find the number of elements in the sample space of this environment.
Number of elements = 6 × 2 × 4 = 48
Answer:
Mid-point: 
Equation: 
Step-by-step explanation:
To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.



To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.
Slope of AB:
=
=
= 
Multiplying slopes that are perpendicular with each other always results in -1.


By the point slope form:

Plug in the coordinates of the mid-point:

Equation: 
Answer:
the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4
Step-by-step explanation:
Let x and y represent jan and Bev's average walk rate.
Also t represent the time taken for Bev to walk 4 miles, so it will take jan 2t time to walk 6 miles
Given that;
It takes Jan twice as many hours to walk 6 miles as it takes Bev to walk 4 miles
For Bev;
y = 4/t
For Jan;
x = 6/(2t) = 3/t
the ratio of Jan's average walking rate to Bev's average walking rate is;
x/y = (3/t)/(4/t) = 3/4
the ratio of Jan's average walking rate to Bev's average walking rate is 3/4 or 3 : 4
Answer:
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.
Step-by-step explanation:
We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.26.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:

Then, the lower and upper bounds of the confidence interval are:

The 95% confidence interval for the population proportion is (0.192, 0.328).
We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.