How do I solve the inequality?

Find the approximate area of a semi circle with a radius of 6 cm

Trava [24]

113.04 es la respuesta, ya que para sacar el area es Pi por el radio al cuadrado osea 3.14 por 36, denada

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3 years ago

Max is making a rectangular garden that is 5 feet less than twice it's width. If the perimeter of the garden is 80 feet, what wi

EleoNora [17]

15 feet x 25 feet x 15 feet x 25 feet

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3 years ago

Marshall charges $22.00 per hour to cut yards in his neighborhood. Use the ratio of Marshall’s hours worked to the amount earned

Leni [432]

If there are $22 made per hour for 7 hours, you’d add 22 per hour in your table. 1 hour=$22, 2 hours=$44, 3 hours=$66, and so forth. make a table of these numbers up to 7 hours.

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3 years ago

Read 2 more answers

The average yield of the standard variety off soybeans per acre on a farm in a region is 48.8 bushels per acre, with a standard

I am Lyosha [343]

Answer:

$z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3$

$p_v =P(Z>2.3)=1-P(Z$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.

Step-by-step explanation:

1) Data given and notation

$\bar X=53.4$ represent the sample mean

$\sigma=12$ represent the population standard deviation assumed

$n=36$ sample size

$\mu_o =48.8$ represent the value that we want to test

$\alpha=0.01$ 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)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 48.8, the system of hypothesis would be:

Null hypothesis: $\mu \leq 48$

Alternative hypothesis: $\mu > 48$

Since we assume that 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".

3) Calculate the statistic

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

$z=\frac{53.4-48.8}{\frac{12}{\sqrt{36}}}=2.3$

4)P-value

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

$p_v =P(Z>2.3)=1-P(Z$

5) Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significantly higher than 48.8 at 1% of signficance.

3 0

3 years ago

If you roll a dice 100 times how many times would you expect to roll a product that is a multiple of 5

Luden [163]

If you're rolling a single cube, then ...

-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = <em>16-2/3 %</em> .

If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)
-- The probability of rolling one of those is
(7/36) = <em>19-4/9 %</em> .

If everything is acting perfectly random, then in 100 rolls,
you'd expect to succeed 19 or 20 times.

3 0

3 years ago