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3 years ago

What is the common difference for this aritmetic sequence -5,-1,3,7,11

Mathematics

2 answers:

Yuri [45]3 years ago

4 0

Answer:

Step-by-step explanation:

Subtract any number from the next number.

7 - 3 = 4

Katen [24]3 years ago

3 0

$\huge{\boxed{4}}$

The common difference is the number that is added each time to get the next one.

In this case, $\boxed{4}$ is added to each number. Take 3 and add 4 to get 7.

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Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

Addition Law for Probability

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

4 0

2 years ago

Read 2 more answers

- There are 24 bottles of water in a case.

muminat

Answer:

Step-by-step explanation:

No. Of bottles in a case × No. Of cases bought

24 × 4

= 96

7 0

3 years ago

the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form

Alexeev081 [22]

Answer:

4/5

Step-by-step explanation:

Given,

Area of the triangle = 1/4 square meters

From the diagram,

Height = 2/5 m

To find : Length of the base

Formula : -

A = bh/2

Here,

A denotes Area

b denotes Base

h denotes Height

A = 1/4

h = 2/5

A = bh/2

Cross multiply,

A * 2 = bh

2A = bh

2 * (1/4) = b * (2/5)

(1 * 2)/4 = (b * 2)/5

2/4 = 2b/5

1/2 = 2b/5

Cross multiply,

1 * 5 = 2 * 2b

5 = 4b

b = 4/5 meters

Hence,

The length of the base is 4/5 meters.

5 0

2 years ago

Michael is a real estate agent who sells a house. He received $5,250 for a 3% commission on the house. How much did the house se

Alborosie

Answer: $157.50

Step-by-step explanation:

$5250÷100=$52.50

52.50×3=$157.50

7 0

3 years ago

Read 2 more answers

At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.

Diano4ka-milaya [45]

Answer:

To figure out the change, we subtract the original temperature by the following after temperature.

18°F - original

-9°F - subsequent time after original

So we set up the equation;

18°F - (-9°F)

(Two negatives combine to form a positive)

18°F + 9°F

= 27°F was the change in temperature.

4 0

3 years ago