Write the sum using summation notation, assuming the suggested pattern continues. -10 - 2 + 6 + 14 + ... + 110

Answers

Answer 1

Answer: This is the sum of the arithmetic sequence:
10 - 2 + 6 + 14 + ... + 110
where: a 1 = - 10, d = 8
a n = 110
a n = a 1 + ( n - 1 ) * d
110 = - 10 + ( n - 1 ) * 8
110 = - 10 + 8 n - 8
110 + 10 + 8 = 8 n
128 = 8 n
n = 128 : 8
n = 16
∑ n = n/2 * ( a 1 + a n )
∑ 16 = 16/2 * ( -10 + 110 ) = 8 * 100 = 800
Answer:
The sum is 800.

Answer 2

Answer:

The answer is summation of the quantity negative ten plus eight n from n equals zero to fifteen

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Heights of adults vary according to anormal distribution with a mean of 5.5
feet and a standard deviation of 0.5
feet. Which of the following is the
probability that a randomly selected
adult has a height over 7 feet?

Answers

The probability that a randomly selected adult has a height over 7 feet is nearly 100%, which means it's very likely that a randomly selected adult will have a height over 7 feet in this normal distribution.

To find the probability that a randomly selected adult has a height over 7 feet in a normal distribution with a mean of 5.5 feet and a standard deviation of 0.5 feet, you can use the Z-score and the standard normal distribution table.

First, calculate the Z-score for a height of 7 feet using the formula:

$Z = (X - \mu)/(\sigma)$

Where:

- X is the value you're interested in (in this case, 7 feet).

- μ (mu) is the mean (5.5 feet).

- σ (sigma) is the standard deviation (0.5 feet).

$Z = (7 - 5.5)/(0.5)\n = (1.5)/(0.5) \n= 3$

Now, you have the Z-score, which represents how many standard deviations above the mean the height of 7 feet is.

Next, you can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 3. In most standard normal distribution tables, a Z-score of 3 corresponds to a probability close to 1 (or 100%).

To know more about normal distribution:

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When using the Internet to conduct research, it is most important to:a. get the most current information.
b. not spend too much time shopping online while researching.
c. evaluate carefully that the sources are reliable and credible.
d. realize it is the most time-saving method.

Answers

C. evaluate carefully that the sources are reliable and credible

Find the surface area of a sphere with a radius of 2√2 feet.94.5 square feet
100.5 square feet
25.1 square feet
35.5 square feet

Answers

Answer: 100.5 square feet

Step-by-step explanation:

To find : surface area of sphere with radius of $2√(2)feet$

The formula used to calculate surface area of sphere is = $4* \pi* r^2$

where r is the radius of sphere.

Putting the values we get:

surface area of sphere = $4* 3.14* (2√(2)feet)^2=100.5square feet$

Thus the surface area of a sphere with a radius of 2√2 feet is 100.5 square feet

Answer:

100.5 square ft

Step-by-step explanation:

Use the temperature box-and-whisker plot to solve. What is the range of each of the four quarters of data?

A.

first quarter: 2
second quarter:10
third quarter: 15
fourth quarter: 18

B.

first quarter: 2
second quarter: 8
third quarter: 5
fourth quarter: 3

C.

first quarter: 3
second quarter: 8
third quarter: 5
fourth quarter: 2

D.

first quarter: 3
second quarter: 8
third quarter: 16
fourth quarter: 18

Answers

the answer is B

because it is 2 degrees increase from 12 to 14, then from 14 to 22 is 8 degrees, then 5 more until 27, and so on.

you fill up 40 gallon pool putting in 2 gallons water every minute, if someone scoops out 1 gallon every 8 minutes, how long would it take to fill the pool?

Answers

There's a catch here, and I don't really want to go into full detail. Because of
this catch, I think it would be unusually tough to write a simple equation for this
situation. If you wouldn't mind, let's just list it instead:

After . . water added . . total in pool

7 min . . . 14 gallons . . . 14 gallons
1 more . . 1 gallon . . . . . 15 gallons
7 more . . 14 gallons . . . 29 gallons
1 more . . 1 gallon . . . . . 30 gallons
5 more . . 10 gallons . . . 40 gallons, the pool is full

Add up all the minutes: 21 minutes

It would take 21 minutes
As the first 8 minutes there would be 15 gallons in the pool
In 16 minutes there would be 30 gallons in the pool
Therefore you only need 10 gallons left which will be filled up in the space of 5 minutes

Person who answers gets 15 points!!

Answers

Answer:

Undefined

Step-by-step explanation:

This is just a vertical line when mapped from the data points given, therefore it has an undefined slope.

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