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Lelechka [254]
2 years ago
15

This chart shows the growth of a maple tree. If the tree's height increases in this same pattern, what will be the height of the

tree, in inches, after 8 months?
Months
Height of Tree
1
10 inches
2
13 inches
3
16 inches
4
19 inches
Mathematics
1 answer:
sveta [45]2 years ago
5 0

Answer:

31 inches

Step-by-step explanation:

you can get this answer by 2 ways. one is using number patterns.

find the difference between each of the heights.

13-10=3

16-13=3

19-16=3

therefore the common difference is 3

now create a number pattern.

first term + common difference× (n-1)= nth term

a+(n-1)d

let's check this with the 2nd month

10+ 3× (2-1)

10+3=13

in second month 13 inches

so this pattern works

let's find the height in 8th month

10+ 3(8-1)

10+ 21=31 inches

height in 8th month is 31 inches.

you can find this by just adding too. but forming an equation is always good and safe

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The sum of twice a number and 8 is 44. what's the number? show your work.
mezya [45]

Answer:

18

Step-by-step explanation:

We can work backwards with this and take 44-8=36

Then we divide it by two and thats 18

3 0
2 years ago
Lifetime of $1 Bills The average lifetime of circulated $1 bills is 18 months. A researcher believes that the average lifetime i
OLEGan [10]
<h2>Answer with explanation:</h2>

Let \mu be the population mean lifetime of circulated $1 bills.

By considering the given information , we have :-

H_0:\mu=18\\\\H_a:\mu\neq18

Since the alternative hypotheses is two tailed so the test is a two tailed test.

We assume that the lifetime of circulated $1 bills is normally distributed.

Given : Sample size :  n=50 , which is greater than 30 .

It means the sample is large so we use z-test.

Sample mean : \overline{x}=18.8

Standard deviation : \sigma=2.8

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{18.8-18}{\dfrac{2.8}{\sqrt{50}}}\approx2.02

The p-value= 2P(z>2.02)=0.0433834

Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.

Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.

6 0
3 years ago
Is it possible for a triangle to have sides with given lengths? 5 inches, 8 inches, 15 inches
Tema [17]
Yes it is possible indeed 
8 0
3 years ago
Need help with question 11
Iteru [2.4K]

Domain:-> ( (-infinity) ,4)

Range:-> ((-infinity),infinity)

increasing in (-2.8,1.4)

decrasing in ( (-infinity) ,-2.8 ) U (1.4, infinity)

Hope it helps...

Regards,

Leukonov/Olegion.

5 0
3 years ago
What is p-^m divided by p^n equal to? Answers p-^m + n P-^m• n p-^m - n P-^m divided by n
IrinaK [193]

Answer:

The answer is

<h2>{p}^{ - m - n}</h2>

Step-by-step explanation:

<h3>\frac{ {p}^{ - m} }{ {p}^{n} }</h3>

Using the rules of indices.

Since the bases are the same and are dividing we subtract the exponents

That's

<h3>\frac{ {x}^{y} }{ {x}^{z} }  =  {x}^{y  - z}</h3>

So from the question we have

<h3>\frac{ {p}^{ - m} }{ {p}^{n} }  =  {p}^{ - m - n}</h3>

Hope this helps you

4 0
3 years ago
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