Answer:
Step-by-step explanation:
8/v=6/v-3
8*(v-3)=6v
8v-8*3=6v
8v-24=6v
+24 +24
8v=6v+24
-6v -6v
2v=24
v=24/2
v=12 miles /hour
v2=12-3=9 miles /hour ( your friend)
Answer:
"f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily"
Step-by-step explanation:
<u>Complete Question:</u>
A virus that initially infected four people is spreading at a rate of 15% each week. The following function represents the weekly spread of the virus: f(x) = 4(1.15)x. Rewrite the function to show how quickly the virus spreads each day and calculate this rate as a percentage.
f(x) = 4(1.15)7x; spreads at a rate of approximately 1.5% daily
f(x) = 4(1.02)7x; spreads at a rate of approximately 2% daily
f(x) = 4(1.157)x; spreads at a rate of approximately 2.66% daily
f(x) = 4(1.02)x; spreads at a rate of approximately 0.2% daily
<u>Solution:</u>
The weekly number of people infected would be:

7 days in a week, so daily number of people infected would be:

To find daily rate, we set these 2 equations equal and solve for r:

That is 0.02*100 = 2% daily
2nd answer choice is right.
Answer:

And replacing we got:

And we can calculate this probabilit using the normal standard distribution or excel and we got:

Step-by-step explanation:
If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

And we want to find the following probability:

And we can use the z score formula given by:

And replacing we got:

And we can calculate this probabilit using the normal standard distribution or excel and we got:

Let angle = x
sinx = 43.2/72.5
=> x = 36.57 degrees