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2 years ago

Arithmetic sequence

Mathematics

1 answer:

HACTEHA [7]2 years ago

8 0

Answer:18

Step-by-step explanation:

Note: Mathematicians start counting at 1, so by convention, n=1 is the first term. So we must define what the first term is. Then we have to figure out and include the common difference.

Taking a look at the examples again,

Sequence: 1, 2, 3, 4, … | Formula: a(n) = n + 1 | Recursive formula: a(n) = a(n-1) + 1, a(1) = 1

Sequence: 3, 8, 13, 18, … |Formula: b(n) = 5n - 2 | Recursive formula: b(n) = b(n-1) + 5, b(1) = 3

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nikitadnepr [17]

It is A because you are adding 3 to in if you were to subtract then it will go down not up.

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2 years ago

Surfside Bike Rental Shop charges a $20 fixed fee plus $5 per hour for renting a bike. Alyssa paid $50 to rent a bike. How many

Leviafan [203]

Answer:

Step-by-step explanation:

You can set up and equation to solve for any cost like so:

5x + 20 = c

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20 is the fixed fee

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Now let's use the price given to solve:

5x + 20 = 50

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1 year ago

Read 2 more answers

Suppose that the pH of soil samples taken from a certain geographic region is normally distributed with a mean pH of 7 and a sta

Otrada [13]

Answer:

a) P=0

b) P=1

c) P=0

d) X=7.1645

Step-by-step explanation:

We have the pH of soil for some region being normally distributed, with mean = 7 and standard deviation of 0.10.

a) What is the probability that the resulting pH is between 5.90 and 6.15?

We calculate the z-score for this 2 values, and then compute the probability.

$z_1=(X_1-\mu)/\sigma=(5.9-7.0)/0.1=-11\\\\z_2=(X_2-\mu)/\sigma=(6.15-7)/0.1=-8.5$

Then the probability is

$P(5.90$

b) What is the probability that the resulting pH exceeds 6.10?

We repeat the previous procedure.

$z=(6.10-7)/0.1=-9\\\\P(x>6.1)=P(z>-9)=1$

c) What is the probability that the resulting pH is at most 5.95?

$z=(5.95-7)/0.1=-10.5\\\\P(x$

d. What value will be exceeded by only 5% of all such pH values?

We have to calculate the value of pH for which only 5% is expected to be higher. This can be represented as P(X>x)=0.05.

In the standard normal distribution, it happens for a z=1.645.

$P(z>1.645)=0.05$

Then, we can calculate the pH as:

$x=\mu+z\sigma=7.0+1.645*0.1=7.0+0.1645=7.1645$

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2 years ago

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sergeinik [125]

Answer:

The percent of time that was spent on reading is 12%

Step-by-step explanation:

To figure this question out, first add up all of the known percentages. So for this question, this would be: 11 + 28 + 22+ 15 + 12, or 88. The total of all the percentages must be equal to 100%. So, subtract the sum of all the known percentages from 100.

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2 years ago

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emmasim [6.3K]

Answer:

$\huge\boxed{x=\sqrt{30}}$