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Oksanka [162]
3 years ago
11

) ^{2} + 4x(x - 3y)" alt="2(x - 3y) ^{2} + 4x(x - 3y)" align="absmiddle" class="latex-formula">
​

Mathematics
2 answers:
saul85 [17]3 years ago
5 0

Answer:

all work is pictured and shown

morpeh [17]3 years ago
5 0
The answer before forgot the power of for the 18

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Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer.
Alexandra [31]

\boxed{a_{n}=-3+8(n-1)}

<h2>Explanation:</h2>

The explicit formula for the general nth term of the arithmetic sequence is given by:

a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference

Here we know that:

a_{1}=-3 \\ \\ a_{10}=69

So, our goal is to find the common difference substituting into the formula:

a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8

Finally, we can write the explicit formula as:

\boxed{a_{n}=-3+8(n-1)}

<h2>Learn more:</h2>

Geometric series: brainly.com/question/1509142

#LearnWithBrainly

8 0
3 years ago
A president, treasurer, and secretary, all different, are to be chosen from a club consisting of 10 people. How many different c
sleet_krkn [62]
A.) there are no restrictions
6 0
3 years ago
What should I put down?​
Romashka [77]

Answer:

green?

Step-by-step explanation:

5 0
2 years ago
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost
Alja [10]

Answer:

a) In the step-by-step explanation.

b)  The null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

c) P-value = 0.015

d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Then, the null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

The significance level is 0.05.

The sample has a size n=32.

The sample mean is M=130000.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26

The degrees of freedom for this sample size are:

df=n-1=32-1=31

This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>2.26)=0.015

As the P-value (0.015) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

6 0
3 years ago
Anthony asked a group of students to choose their favorite type of music from the choices of rock, hip-hop, and country. The res
Fudgin [204]

Answer:

240

Step-by-step explanation:

add up the numbers of all the students that were surveyed

get 90

60 of those were rock or hiphop

divide 360 by 90

get 4

multiply 60 by 4

get 240

8 0
3 years ago
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