How can you tell if an ordered pair is a solution of a system of linear equations by examining the graphs of the equations?

What is the algebraic rule for this statement: "Translate the point right 6

ivann1987 [24]

I think it’s D. (x+6, y-4)
because you go right on the x and down on the y

8 0

3 years ago

You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t

miss Akunina [59]

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population standard deviation is equal to 1.5

i.e. $\sigma = 0.5$

Confidence level = 99%

Since population std deviation is known, we can use Z critical value for finding margin of error

Z critical value for 99% = 2.58

Margin of error = $2.58*\frac{1.5}{\sqrt{n} }$

Equate this to 0.5 and solve for n

$2.58*\frac{1.5}{\sqrt{n} }=0.5\\\sqrt{n} =7.74\\n =59.90\\n=60$

8 0

3 years ago

A dairy farm uses the somatic cell count (SCC) report on the milk it provides to a processor as one way to monitor the health of

Eva8 [605]

Answer:

$t=\frac{25000-210000}{\frac{37500}{\sqrt{5}}}=2.37$

$p_v =P(t_{4}>2.37)=0.038$

If we compare the p value and a significance level assumed $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is higher than 210250 at 5% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=250000$ represent the sample mean

$s=37500$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =210250$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 210250, the system of hypothesis would be:

Null hypothesis: $\mu \leq 210250$

Alternative hypothesis: $\mu > 210250$

Compute the test statistic

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

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

$t=\frac{25000-210000}{\frac{37500}{\sqrt{5}}}=2.37$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=5-1=4$

Conclusion

Since is a one right tailed test the p value would be:

$p_v =P(t_{4}>2.37)=0.038$

If we compare the p value and a significance level assumed $\alpha=0.1$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is higher than 210250 at 5% of significance.

6 0

3 years ago

Based on the 2017 season, the Houston Astros have a winning percentage of 623. Use the binomial

a_sh-v [17]

Answer:

c

Step-by-step explanation:

becouse if you put in the numbers .623 for p and .377 for q and 6 for n and for x you put 4 do the math and you get c

4 0

2 years ago

Your checking account is off $150 because the Bank’s statement says you have $750 and you think you have $900. We find you made

ale4655 [162]

The amount of RENT forgot to write is $ 50.

<h3>What is Transaction?</h3>

A transaction is a completed agreement between a buyer and a seller to exchange goods, services, or financial assets in return for money.

Here, Total expected amount = $ 900

Actual amount = $ 750

Deposit forgot = $ 100

Amount of RENT = 900 - (750 + 100)

= 900 - 850

= $ 50

Thus, The amount of RENT forgot to write is $ 50.

Learn more about Transaction from:

brainly.com/question/14654194

#SPJ1

3 0

2 years ago