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Rashid [163]
2 years ago
12

Nth term of 1, 4, 9, 16

Mathematics
1 answer:
sammy [17]2 years ago
3 0

Answer:

a_{n} = n²

Step-by-step explanation:

Note that this is a sequence of square numbers, that is

1 = 1² , 4 = 2² , 9 = 3² , 16 = 4² , thus n th term is

a_{n = n²

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List the next 4 multiples of the unit fraction . 1/2 ___,___,___,___,
const2013 [10]
½ × 2 = 1
½ × 3 = 3/2
½ × 4 = 2
½ × 5 = 5/2
8 0
3 years ago
Read 2 more answers
When your class visited the aquarium, the costs totaled the maximum
yanalaym [24]

Answer:

I think it's A

Step-by-step explanation:

Please correct me if I'm wrong

7 0
3 years ago
The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to ar
Lilit [14]

Answer:

C) 11

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from the last equation we got:

n=(\frac{z_{\alpha/2} s}{ME})^2  

And replacing the values that we got we have:

n=(\frac{1.64(14)}{7})^2 =10.758 \approx 11

C) 11

8 0
3 years ago
You are choosing between two different cell phone plans. The first plan charges a rate of
shutvik [7]

If you talk for 384.23 minutes the two plans will have the same cost.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

x is the number of minutes that will be used during a month:

C₁ = 0.24x

C₂ = 49.95 + 0.11x

So, when 1st = 2nd

0.24x = 49.95 + 0.11x

0.24x - 0.11x = 49.95

0.13x = 49.95

x = 49.95/0.13

x = 384.23 minutes

Hence, If you talk for 384.23 minutes the two plans will have the same cost.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

4 0
1 year ago
Can be used to compare changes from one period to another.
vlada-n [284]

Answer:

c) Percentages

Step-by-step explanation:

Percentages can be used to compare changes from one period to another.

In calculating a percentage change, either a percentage increase or percentage decrease, we must have both the new and old measurement of the specific quantity.

For example, let's find percentage increase of the number of students that joined a book club using the parameters below;

Original number of students = 32

New number of students = 36

We will calculate the increase using;

Increase = original \; number  -  new \; number

Substituting the values, we have;

Increase = 36 - 32 = 4

Percentage \; increase = \frac{increase}{original \; number} * 100

Percentage \; increase = \frac{4}{32} * 100

Percentage \; increase = 0.125 * 100

Percentage increase = 12.5%

Therefore, the number of students in the school club increased by 12.5%.

8 0
3 years ago
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