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3 years ago

What is a sequence of numbers in which the difference between any two consecutive numbers is a constant called?

Mathematics

2 answers:

s2008m [1.1K]3 years ago

5 0

<span>arithmetic <span>sequence. Hope that works</span></span>

laila [671]3 years ago

4 0

Common difference i think

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an airplane decends 1.6 miles to an elavation of 5.95 miles. Find the elavation of the plane before its descent. the initial ela

anastassius [24]

Answer:

X-1.6=5.95

X=7.55+1.5

X=9.05

The initial elevation of the plane is 9.05 miles

Hope it helps!

8 0

3 years ago

How to solve this equation by getting a value and b value

goblinko [34]

Answer:

a=±5

Step-by-step explanation:

25=5^2

Given that, x^2−10x+25=x^2−10x+5^2

Identity: a^2−2(ab)+b^2=(a-b)^2

Here, a=x and b=5

∴=(x−5)^2

Hope this helps

3 0

4 years ago

Use the formula to solve the problems.

slega [8]

A = p(1 + r)^t
A = 6000(1 + .07)^8
A = 6000(1.07)^8
A = 10,309.12
The amount in the account after 8 years is 10,309.12, subtract the amount of principle, and you will get the amount of interest earned.
10,309.12 - 6,000 = $4,309.12
Interest $ 4,309.12

3 0

4 years ago

A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is sel

Ann [662]

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Conditional probability:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that $N = 11$ .

7 red, which means that $k = 7$

3 are chosen, which means that $n = 3$

We want all red, so we find P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121$

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

$P(A) = 0.2121*0.5 + 1*0.5 = 0.60605$

Probability of all red cards and from the first stack:

0.21 of 0.5. So

$P(A \cap B) = 0.21*0.5 = 0.105$

What is the probability the first stack was selected?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733$

0.1733 = 17.33% probability the first stack was selected.

4 0

3 years ago

X – 1/4=1/2 what is x?

Vinil7 [7]

Answer:

x= 3/4

Step-by-step explanation:

x-1/4=1/2

+1/4 +1/4

x=3/4

6 0

3 years ago

Read 2 more answers