12x3-3x2=0 solve the equation by factoring

Find the next term in this arithmuc sequence

zvonat [6]

Hey there :)

$\frac{7}{2}, \frac{9}{4},1, -\frac{1}{4} , -\frac{3}{2} , \frac{?}{?}$

We can find the common difference here as it is an arithmetic sequence.

The common difference between each term is: $\frac{5}{4}$

$\frac{7}{2} - \frac{5}{4} = \frac{9}{4}$

We can find the unknown term by:
$-\frac{3}{2}- \frac{5}{4}= -\frac{11}{4}$ {easier way in this example}

OR

by the formula for finding the nth term

a₆ = $\frac{7}{2} +(6-1)( -\frac{5}{4} )$
{a₆ because it is the 6th term to be found, (6-1) the nth term minus 1}

a₆ = $- \frac{11}{4}$
However this way is not essential here as the previous term is given.

6 0

3 years ago

8-3x=17 what does x equal

Dima020 [189]

Answer:

x = -3

Step-by-step explanation:

Step 1: Subtract 8 from both sides

8 - 3x - 8 = 17 - 8

-3x = 9

Step 2: Divide both sides by -3

-3x / -3 = 9 / -3

x = -3

Answer: x = -3

3 0

3 years ago

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An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 minutes. For a test of the

nalin [4]

Answer:

$z=\frac{9.25-10}{\frac{2}{\sqrt{35}}}=-2.219$

$p_v =P(z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.

Step-by-step explanation:

Data given and notation

$\bar X=9.25$ represent the sample mean

$\sigma=2$ represent the population standard deviation

$n=35$ sample size

$\mu_o =10$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is less than 10 minutes, the system of hypothesis would be:

Null hypothesis: $\mu \geq 10$

Alternative hypothesis: $\mu < 10$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{9.25-10}{\frac{2}{\sqrt{35}}}=-2.219$

P-value

Since is a left tailed test the p value would be:

$p_v =P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.

6 0

4 years ago

How are inches, yards, and feet related?

Ira Lisetskai [31]

Answer:

there are 12 inches in a foot and 3 feet in a yard

Step-by-step explanation:

so yeah that how theyre related lol

3 0

3 years ago

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5.) 49 : 7x4 + 3 whats the answer? plzzz help me i rlly need it im gonna pass this in friday

vitfil [10]

Answer:

31

Step-by-step explanation:

7x4+3

7x4=28

28+3=31

3 0

3 years ago