Find the slope of the line on the graph. Reduce all fractional answers to lowest terms.
(-2,1) (0,1)


-1
0
no slope

Complete Question:

Femi's last 5 bowling scores were 68, 75, 72, 90, and 80.  What was Femi's mean score?

Answer:

Step-by-step explanation:

Given

Scores: 68, 75, 72, 90, and 80

Required

Determine the mean

The mean (M) of a data is calculated as thus:

\(M = \frac{\sum x}{n}\)

Where

n = number of data.

In this case,

n = 5

and

\(\sum x\) = sum of data

So, the formula becomes

\(M = \frac{68 + 75 + 72 + 90 + 80}{5}\)

\(M = \frac{385}{5}\)

\(M = 77\)

Hence, the mean is 77

Answer:

D

Step-by-step explanation:

3 | 1   5   - 8   6

   ↓   3    24   48

   ----------------------

    1   8   16    54 ← Remainder

From the results, the mode of transportation that was faster for June is Bus.

To obtain the fastest means of transportation, the mode of the figures will provide a clue. For Bus, the figures are 16, 14, 15, 14, 31, 15 and for walking, the figures are 22, 19, 21, 20, 21, 20.

The highest nmbers in occurence for the first set of figures are 14 and 15 and for the second set of figures, the numbers that appeared most are 20, 21, and 22. So, the bus offered the fastest route for going to school.

Learn more about mean, median, mode here:

https://brainly.com/question/14532771

#SPJ1

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

Learn more about rules of exponents here : brainly.com/question/11975096

#SPJ1

Answer:

7y+5z+10

Step-by-step explanation:

7y+5z+10

Answer:

B.

Step-by-step explanation:

2y + 4y + y = 7y

7z + (-2z) = 5z

8 + 2 = 10

Answer:

Step-by-step explanation:

f(x) = 2x2 − 12x + 24

      = 2(x^2 - 6x) + 24

      = 2[(x - 3)^2 - 9) + 24

      = 2(x - 3)^2 - 18 + 24

      = 2(x - 3)^2 + 6

- so the minimum cost is 6

Answer:

Angle ABC,

Step-by-step explanation:

Please give more detail to your question, this doesn't help at all...

Answer:

23 doesn't equal 2

Step-by-step explanation:

The seagull is approximately 47.86 feet above sea level, and the man's binoculars are approximately 46.25 feet away from the dolphin.

Let's denote the height of the seagull above sea level as "h" and the distance between the man's binoculars and the dolphin as "d."

For the seagull:

We have the angle of elevation as 27 degrees and the distance from the man's binoculars as 94 feet.

Using the tangent function, we can write:

tan(27 degrees) = h / 94

Solving for h, we have:

h = 94 × tan(27 degrees)

For the dolphin:

We have the angle of depression as 46 degrees and the distance from the man's binoculars as 44 feet (lenses level).

Using the tangent function, we can write:

tan(46 degrees) = h / d

Solving for d, we have:

d = h / tan(46 degrees)

Now, let's calculate the values:

h = 94 × tan(27 degrees) ≈ 47.86 feet

d = (47.86 feet) / tan(46 degrees) ≈ 46.25 feet

Learn more about the tangent ratio here:

https://brainly.com/question/12760368

#SPJ2

Answer:

1,861.1 cubic centimeters

Step-by-step explanation:

Volume of a cylinder is

\(v = \pi {r}^{2}h\)

so you would plug it in and solve

\(v = \pi ({6.6})^{2}13.6\)

Answer:

no

Step-by-step explanation:

PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

For similar question on Principal amount.

https://brainly.com/question/29430095

#SPJ11

Answer:

~Male Y/n here~ I believe your y-intercept would be D. -5.

(Hope this helps!)

Answer:

558 dollars

Step-by-step explanation:

Total charge = 630 + 960 = 1590 dollars

   he pays 300 deductible  

      now the charge balance is 1590 -300 = 1290 dollars

            then he must pay 20 % of this (insurance pays 80%)

                 so total to pay is $ 300 + .20 (1290) = $558

Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

is there a pic to it? put the pic then i can answer

Answer:

You forgt to add picture

Step-by-step explanation:

Answer:

y = x + 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

P{2 of 4 tagged}=(52)(152)(204)  

=0.2167

Answer:

rgrgrgrgr

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Step-by-step explanation:

it'll be 3:30

when you simplify

1:10

:)

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

For more questions on prime number

https://brainly.com/question/145452

#SPJ8

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

Answer:

Temperatures that are 4 degrees away from zero are marked by red dot in attached figure

Step-by-step explanation:

Temperatures that are 4 degrees away from zero are marked by red dot in attached figure

The log expression in single equation is   log 12 - log 3 + log 2.

The solution of the log equation is calculated by applying the following method.

log 12 - ¹/₂log 9  +  ¹/₃log 8

we can simplify the equation as follows;

log 12 - log 3 ⁽² ˣ ¹/₂⁾ +  log 2 ⁽³ ˣ ¹/₃⁾

= log 12 - log 3¹ + log 2¹

=  log 12 - log 3 + log 2

Thus, the log equation or expression has been simplified in the form of single equation.

Learn more about log equations here: https://brainly.com/question/25993029

#SPJ1

Answer:

1) x = 40 B = 10

2) y = 50 U = 60

3) y = 7 x = 13

4) y = 77 k = 13

5) x = 9 A = 35

Step-by-step explanation:

Couple of things to remember:

1. The sum of all angles in a triangle equal 180

2. The letters in the congruent statements correspond to which angles are congruent to each other.

In the first problem, the statement has C and F in the same position. Both are the last letter of each triangle. Therefore, they are congruent and should be set equal to each other

2x = 80 (Solve by dividing both sides by 2)

x = 40

This strategy can be used to solve the others.

Answer: That would be distributive

Step-by-step explanation:

Answer:

63

Step-by-step explanation: