All categories

2 years ago

Mr. Gary wrote the sequence below on the board.

Mathematics

1 answer:

sp2606 [1]2 years ago

6 0

Answer:

a₁ = 10
aₙ = aₙ₋₁ - 5

Step-by-step explanation:

Given the sequence:

10, 5, 0, -5, -10

The first term is 10 and the common difference is -5

The recursive formula for the given sequence is:

a₁ = 10
aₙ = aₙ₋₁ - 5

You might be interested in

The amount Kenyon earns on the sale of a car can be represented by the equation E (p) = 250 +0.02p where E(p) represents the tot

kap26 [50]

Answer:

1) His total commission is $1,234.3

2) The purchase of the car is $24,790.

Step-by-step explanation:

1) 21640*0.02= 432.8+ 250= 682.8

15075*0.02= 301.5+ 250= 551.5

682.8+ 551.5= 1,234.3

2) 745.8- 250= 495.8/ 0.02= 24,790

5 0

2 years ago

Read 2 more answers

What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones i

Llana [10]

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

Step-by-step explanation:

The question is incomplete:

What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions?

We can model this as a binomial random variable, with p=0.57 and n=14.

$P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}$

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

$P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\$

$P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\$

$P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\$

$P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886$

7 0

2 years ago

You run 18 miles in 2 hours and 45 miles in 5 hours how fast are you running

Lesechka [4]

So let's find the unit rate of these.

18 mi/ 2 hrs = 9 mi/ 1hr

45 mi / 5 hrs = 9 mi/ 1 hr

So you are running 9 miles an hour.

If you have any questions please comment! :)

6 0

2 years ago

Read 2 more answers

What is the function equation of this table?

bezimeni [28]

Answer:

f(x) = x * -3

Step-by-step explanation:

so, you have x and you have f(x), as you can see -4 turns into 12... you basically have to divide, multiply, add or subtract for each value to see what they have in common, here it's easy since -4 * -3 is 12, -2 * -3 is 6, 0 * -3 is 0, etc etc. hope it helped : )

7 0

3 years ago

Read 2 more answers

The points (-4,-4), (-4,4), (4,4), (4,-4) form a square on a coordinate plane. How long is a side length of a square?

Crank

The answer is 4 units long and 8 units wide

6 0

3 years ago

Read 2 more answers