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AleksandrR [38]
2 years ago
11

Lila is making a tile pattern in the shape of a square.

Mathematics
1 answer:
dusya [7]2 years ago
8 0
9x9 = 81
So, the answer would be 81 inches squared
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a cell phone company plans to market a new smartphone. they have already sold 612 units durning the first week of the campaign.
Vadim26 [7]

The first term is 612.

The common ratio is 1.08 and

The recursive rule is a_{n} = a^{n-1} \times r

<u>Step-by-step explanation:</u>

the question to the problem is to write the values of the first term, common ratio, and expression for the recursive rule.

<u>The first term :</u>

In geometric sequence, the first term is given as a_{1}.

⇒ a_{1} = 612

Now, the geometric sequence follows as 612, 661, ........

<u>The common ratio (r) :</u>

It is the ratio between two consecutive numbers in the sequence.

Therefore, to determine the common ratio, you just divide the number from the number preceding it in the sequence.

⇒ r = 661 divided by 612

⇒ r = 1.08

<u>To find the recursive rule :</u>

A geometric series is of the form  a,ar,ar2,ar3,ar4,ar5........

Here, first term a_{1} = a and other terms are obtained by multiplying by r.

  • Observe that each term is r times the previous term.
  • Hence to get nth term we multiply (n−1)th term by r .

The recursive rule is of the form a_{n} = a^{n-1} \times r

This is called recursive formula for geometric sequence.

We know that r = 1.08 and a_{1} = 612.

To find the second term a_{2}, use the recursive rule a_{n} = a^{n-1} \times r

⇒ a_{2} = a^{2-1}\times r

⇒ a_{2} = a^{1}\times r

⇒ a_{2} = 612\times 1.08

⇒ a_{2} = 661

3 0
3 years ago
The radius of Venus is 3,760.4 miles. What is the approximate volume of Venus?
sdas [7]
The radius of a sphere is calculated through the equation,
                             V = 4πr³ / 3
where r is the radius. Substituting the radius given in the equation,
                            V = 4π x (3,760.4 miles)³ / 3 = 2.23 x 10^11 miles
Thus, the volume of the planet Venus is calculated to be 2.23 x 10^11 miles, approximately. 
8 0
3 years ago
Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 669 randoml
Lady_Fox [76]

Answer:

a) p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

b) Null hypothesis:p = 0.39

Alternative hypothesis:p \neq 0.39

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The true proportion of adults that would erase all their personal information online if they could is 0.39 or 39%". So we want to check if the population proportion is different from 0.39 or 0.39%, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Part a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.

p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

Part b. Identify the null and alternative hypotheses.

Null hypothesis:p = 0.39

And for the alternative hypothesis we have    

Alternative hypothesis:p \neq 0.39  

6 0
3 years ago
Which is NOT a right triangle
Ira Lisetskai [31]

Answer:f i’m pretty sure

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
1) Find the slope of the line passing through the given points (2, 120) and (1, 60).
EastWind [94]

Answer:

1. 60. 2. -6. 3. -4/5

Step-by-step explanation:

Okay so I haven't done slope in 3 years but I used to be a god at it so please tell me if you get this right and I'm so so sorry if you get them wrong

5 0
2 years ago
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