Answer:
The circumference of the circle is 28.26 m.
The area of the circle is 63.585
.
Step-by-step explanation:
To solve for the circumference of the circle, start by using the circumference formula of a circle, which is
. However, 3.14 will be used instead of
for this formula.
First, the radius of the circle needs to be found. To find the radius of the circle, divide the diameter by 2 because the radius equals half of the diameter. The radius is 9 m divided by 2, which equals 4.5 m.
Next, plug in the radius into the formula, and the formula will look like
. Then, solve the equation, and the answer will be 28.26 m.
To solve for the area of the circle, start by using the area formula of a circle, which is
. However, 3.14 will be used instead of
for this formula.
For the area, plug the radius into the formula, and the formula will look like
. Then, solve the equation, and the answer will be 63.585
.
Answer: yes
Step-by-step explanation:
#1. look at the individual probability first.
A dice has 6 sides. The numbers > 2 are {3, 4, 5, 6}. So the chance of rolling a number > 2 is 4/6 or 2/3 simplified.
Multiples of 3 on a dice are {3, 6}. So the chance of rolling a multiple of 3 is 2/6 or 1/3 simplified.
Rolling a dice is an independent event, like flipping a coin the previous roll does not have an effect on the outcome of the next roll. So when you see the word AND connecting the outcomes, you multiply them.
Prob of rolling >2 AND then multiple of 3 = (2/3)*(1/3)
= 2/9
#2. The total socks in the drawer: 8+8+4= 20 socks
The probability of first drawing a blue sock is 8/20 or 2/5 simplified.
Since the question does not say the socks are put back in the drawer, the total number of socks and number of blue socks decrease by 1 after the first draw. This makes the next draw dependent on the first.
The probability of drawing a blue sock is then: 7/19
because there's a blue sock missing.
Probability of drawing blue sock AND then a blue sock (without replacement)
= (2/5)*(7/19)
= 14/95
Answer: The selling price was $195,200
Step-by-step explanation:
Given:
Tax paid = $488
Rate = $1 per $400 = 1/400
Using the formula;
Tax = rate × selling price
Selling price = tax /rate
Selling price = $488/(1/400) = $488×400 = $195200