One sphere has a radius of 5.10 cm; another has a radius of 5.00cm. What is the difference in volume (in cubic centimeters) betw

Organizing the data in increasing order to find the outlier and compute the mean

Detailed explanation:

The provided data consists of: [4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

Arranging it in ascending sequence

                               [1, 3, 4, 4, 9, 10, 12, 15, 16, 18, 32 ]

The outlier is identified as 32

Calculating the mean;

Mean=total of data set/quantity of data set

Total= 1 + 3+ 4+ 4+ 9+ 10+ 12+ 15+ 16+ 18+ 32=124

Quantity of data set=11

Mean=124/11=11.27

Answer:

a) Which rental company charges a lower daily rate?

Payless rental company.

b) How many days must you rent a car for the total costs to equal?​

3 days.

Step-by-step breakdown:

We are comparing two rental services:

Discount Car Rentals and Payless Car Rentals.

x = rental duration in days

y = total cost.

a) Assuming the rental period starts at 2 days:

We need to formulate the equation for Discount Rentals.

For Discount Car Rentals:

2 days = $185

4 days = $265

6 days = $345

8 days = $425

The cost differential for 2 days = $265 - $185 = $80

Therefore, for 1 day the cost difference is = $80/2

= $40

For a one-day rental,

185 - 40 = $145

Thus, the equation for the payment of Discount Rentals is:

y = 40x + 105

b) For Payless Car Rentals:

The provided equation is: y = 55x + 60.

y = total cost, x = rental days

a) For 1 day:

y = 55(1) + 60

y = $115

b) For 2 days:

y = 55(2) + 60

y = 110 + 60

y = $170

c) For 3 days:

y = 55(3) + 60

= 165 + 60

= $225

d) For 4 days:

y = 55x + 60.

y = 55 × 4 + 60

y = 220 + 60

y = $280

e) For 5 days:

y = 55x + 60.

y = 55 × 5 + 60

y = 275 + 60

y = $335

f) For 6 days:

y = 55x + 60.

y = 55 × 6 + 60

y = 330 + 60

y = $380

g) For 7 days:

y = 55x + 60.

y = 55 × 7 + 60

y = 385 + 60

y = $445

h) For 8 days:

y = 55x + 60.

y = 55 × 8 + 60

y = 440 + 60

y = $500

a) Which rental company charges a lower daily rate?

The total expense of renting a vehicle as calculated above:

For 1 day from Discount Car Rentals = $145

For 1 day from Payless Car Rentals = $115

Based on these calculations, Payless rental company offers the lower rate.

b) For how many days is the rental required to have costs equal?

We set both equations equal to each other:

y = 40x + 105 = y = 55x + 60.

40x + 105 = 55x + 60

105 - 60 = 55x - 40x

45 = 15x

x = 45/15

x = 3 days.

Hence, after 3 days, the total cost of renting a vehicle from either Discount or Payless Car Rentals will be equal.

It is necessary for the value of m to exceed that of n. When binomials are multiplied, the middle term emerges from combining the outside and inside products. Thus, bx = –nx + mx, simplifying further leads to b = –n + m. When adding numbers that have opposite signs, we subtract their absolute values and retain the sign of the number with the larger absolute value. Since b is positive, m must indeed possess a greater absolute value.

The time from 7:15 to 7:20 is 5 minutes
Since each minute equals 11 units, the total is 5x11=55
Starting from point 100, the new position would be 100+55=155
Final answer: point 155
I hope this is accurate and useful:)

At Buffalo Bills, the cost for chicken wings is 8 wings for $7.

The price for a single wing at Buffalo Bills is .

At Buffalo Mild Wings, the offer is 12 wings for $10.

The price for one wing at Buffalo Mild Wings is .

Wingers offers 20 wings for $17.

The cost for a single wing at Wingers is .

By evaluating the prices of wings at these three places, we find that Buffalo Mild Wings has the lowest cost, at $0.833 per wing.