The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is

Lashonda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.C

musickatia [10]

Answer:
30 < m
The solution would be (30, ∞)

Explanation:
For company A:
The charge is: $96 for any number of mileage ..............> I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II

We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m

This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B

Hope this helps :)

3 0

3 years ago

While building a snowman, a large snowball is created so that the radius is changing at the rate of 5 inches per hour. How fast

diamong [38]

Answer:

2000π in³/s

or 6283.2 in³/s

Step-by-step explanation:

dr/dt = 5

volume of sphere is given as

v = (4/3)(π)r³

differentitate wrt r

dv/dr = 3×4/3 ×π×r²

dv/dr = 4πr²

put r = 10

dv/dr = 4π(10)²

dv/dr = 400π

by chain rule

dv/dt = dv/dr ×dr/dt

dv/dt = 400π× 5

dv/dt = 2000π in³/s

or dv/dt =6283.2 in³/s

7 0

3 years ago

Slove the equation below for y : 6x-4y=12

Scilla [17]

Answer:

$y=-\frac{3(x +2)}{2}$

Step-by-step explanation:

We have an equation, and the question is asking for us to solve y. So to solve, we have to isolate y.

6x - 4y = 12

Subtract 6x from both sides :

-4y = 12 - 6x

Divide both sides by -4 :

$y=-\frac{3(x+2)}{2}$

8 0

3 years ago

marisol is finding the slope of the line containing the points (3,7) and (5,10). Find her mistake and correct it.

Alexxx [7]

The y-value must be the numerator.

The correct way of solving this would be (7-10)/(3-5)=3/2

6 0

3 years ago

the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per

attashe74 [19]

Answer:

It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles

6 0

3 years ago