Find the slope of the line that passes through each pair of points.

Nimfa-mama [501]

A. The population would be 120

You would find 20 percent of 100
To do that, you do 100× 0.2 and add that to 100

B. The population doubles

10×2= 20
20×2= 40, not 30

hope this helps!

6 0

3 years ago

What is they y intercept and why?

Olenka [21]

Answer:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Step-by-step explanation:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

8 0

3 years ago

Read 2 more answers

Please help me with this question

Dmitrij [34]

Answer:

a) number 2 and 3 appeared a minimum number of times

b) number 5 appeared a maximum number of times

c) number 1, 4 and 6 appear an equal number of times (4 times). Also number 2 and 3 appear an equal number of times (1 time)

d) Even numbers turned up 9 times. The even numbers in a dice are 2 4 and 6. Add up how many times they came up: 1+4+4=9

f) Odd numbers turned up 11 times. The odd numbers in a dice are 1, 3 and 5. Add up how many times they came up: 4+1+6=11

7 0

3 years ago

Drag each sequence to show whether it is a linear function, an exponential function, or

Sergeu [11.5K]

Answer:

Step-by-step explanation:

From the picture attached,

Option A

From the given table,

Ratio of the 2nd value and 1st value = $\frac{8}{4}=2$

Ratio of 3rd value and 2nd value = $\frac{16}{8}=2$

There is a common ratio of 2.

Therefore, the given table will represent an exponential function.

Option B

Given recursive formula of the sequence is,

$A_1=3$

$A_n=5.A_{n-1}$

From this recursive formula sequence will be,

3, 15, 75, 375,.......

Therefore, it's an exponential function.

Option C

$F_n=3n+17$

Given function is in the form of a linear function (y = mx + b),

Therefore, it's a linear function.

Option D

From the given table,

Difference between 2nd value to the 1st value = 8 - 4 = 4

Difference between 3rd value to the 2nd value = 12 - 8 = 4

Therefore, there is a common difference of 4 in each successive term to the previous term.

Hence, the given table represents a linear function.

7 0

3 years ago

Read 2 more answers

g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a

galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0

3 years ago