If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

Step-by-step explanation:

As we know the circumference of a circle is $2\pi r$

The radius of the hub cap needs to be devised to determine the area

$83.96$ $= 2* 3.14*r$

$r = \frac{83.96}{2*3.14}$

$r = 13.37$ centimeters

Area of the hub cap = $\pi r^{2}$

Substituting the devised value of r in the above equation, we get -

$3.14 * 13.37^2\\$

$561.2485$ square centimeter

If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

5 0

3 years ago

melissa purchased a car at the price of 20,540 with a down payment of 3,900 and financed the rest paying 8.6% interest compounde

DaniilM [7]

Answer:

$478.06

Step-by-step explanation:

let's first start out by figuring out the present value of the loan

((20540*1.0825)+955+57)-3900

Which gives me a value of 23246.55

I'm then going to assume that the 8.6% is a nominal interest rate meaning that the effectively monthly rate is equal to .086/12=.0072

Which means we have

23246.55=X(a angle 60 at .0072) (i'm using annuities to solve this if you don't know what this is just ask)

Solve this and get $478.06

6 0

3 years ago

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22

marin [14]

Answer: 4.27% of adults in the USA have stage 2 high blood pressure.

Step-by-step explanation:

Let x be a random variable that denotes a person with high blood pressure .

Given: Average blood pressure: $\mu=122$

Standard deviation: $\sigma=22$

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

$P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z$

Hence, 4.27% of adults in the USA have stage 2 high blood pressure.

6 0

2 years ago