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4 years ago

Determine if the sequence is algebraic or geometric, and find the common difference or ratio.

Mathematics

2 answers:

sukhopar [10]4 years ago

8 0

Answer:

Algebraic, common difference = −9

Step-by-step explanation:

The first term of the series is 81, the second term is 72, the third term is 63 and the fourth term is 54.

So, the value of the terms decreases as the number of terms increases and this decrease in value is common and it is 9.

Therefore, the series is Algebraic series and the common difference is - 9. (Answer)

antiseptic1488 [7]4 years ago

8 0

Answer:

Algebraic,Common difference -9

Step-by-step explanation:

hope I helped!!!!!

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Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe

leonid [27]

The event that either M1 or M2 fails has probability

$P(M_1\text{ fails or }M_2\text{ fails})=P(M_1\text{ fails})+P(M_2\text{ fails})-P(M_1\text{ and }M_2\text{ both fail})$

by the addition rule. Failure events are independent, so

$P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})$

so that

$P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2$

Denote this probability by $p$ . Then $X$ follows a geometric distribution with this parameter $p$ and has density

$P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}$

The expectation is $\dfrac1p=\dfrac1{p_1+p_2-p_1p_2}$ .

7 0

4 years ago

Cameron made 1 loaf of bread. His family ate 4/6 of the loaf of bread. How much of the loaf of bread remains?/

nlexa [21]

Answer:

2/6

Step-by-step explanation:

because 4/6 is eaten so that means 2/6 is left to eat

7 0

3 years ago

Read 2 more answers

A boat goes 3/4 hours with a speed of 8 mph and 1/3 hours with a speed of 12 mph. What distance did the boat cover in all this t

Reika [66]

Answer:

10 miles

Step-by-step explanation:

Given: Boat goes $\frac{3}{4}$ hours with 8 mph (i)

Boat goes $\frac{1}{3}$ hours with 12 mph (ii)

Now, lets find out distance separately to get total distance.

Formula for finding distance is

D= $Speed\times time$

D= $\frac{3}{4} \times 8$ (i)

D= $3\times 2$

∴ D1= 6 miles (i)

D= $\frac{1}{3}\times 12$ (ii)

∴D2= 4 miles (ii)

To find total distance, we will add d1 and d2

Total distance = $d1 + d2$

∴ Total distance = $6 + 4$

= 10 miles is the total distance covered by boat in all this time.

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3 years ago

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

kirill [66]

It must have the same slope as the given line, so

m = -A/B = -1/-2 = 1/2

So far, we have

y = mx + b = x/2 + b

Use the given point to find b.

4 = -2/2 + b = -1 + b

b = 5

y = x/2 + 5

Multiply through by 2.

2y = x + 10

Standard form:

x - 2y = -10

4 0

3 years ago

the building is 1050 feet tall.sally built a scale model of the building .how tall is the model if she used the scale 1 centimet

goldenfox [79]

30 centimeters.

1050 divided by 35 = 30.

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3 years ago