MATHEMATICS
MIDDLE SCHOOL

Answer: 3/8 because 8-5 is 3 and tour denominator because the number of goal students

HIGH SCHOOL

A manufacturer of precision measuring instruments claims that the standarddeviation in the use of the instruments is less than 0.00002 millimeter. An analyst,who is unaware of claim, uses the instrument eight times and obtains a samplestandard deviation of 0.00001 millimeter. Assume normal population(i) Confirm using a test procedure and α level of 0.01 that there is insufficient evidence to support the claim that the standard deviation of the instruments is less than 0.00002 millimeters.(ii) Find the P-value for this test? How does it compare with α(greater than or less than)? Does it make sense with respect to your conclusionin part (i)?

Answer:

i) There is insufficient evidence to support the claim that the standard deviation of the instruments is less than 0.00002 millimeters.

ii)

Step-by-step explanation:

represent the sample standard deviation

represent the significance level for the test

represent the value that we want to test

n=8 represent the sample size

A chi-square test can be used to test "if the standard deviation of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test".

Null and alternatve hypothesis

The system of hypothesis on this case would be given by:

Null Hypothesis:

Alternative Hypothesis:

The statistic to test this is given by:

(1)

Part i) Calculate the statistic

If we replace into formula (1) we got this:

(1)

The critical region for a for a lower one-tailed alternative is given by

The degrees of freedom are given by

And if we use the Chi Square distribution with 7 degrees of freedom we see that

And our critical region would be so on this case we can conclude that we fail to reject the null hypothesis. So it's not enough evidence to conclude that the population standard deviation is less than 0.00002 mm.

Part ii) Calculate the p value

In order to calculate the p value we can do this:

If we compare this value with the significance level (0.01) we see that \alpha" alt="p_v>\alpha" align="absmiddle" class="latex-formula">

This agrees with the conclusion since when the p values is greater than the significance level we FAIL to reject the null hypothesis, same conclusion as part i).

MIDDLE SCHOOL

There are 3,280.84 feet in a kilometer. There are 5,280 feet in a mile. To the nearest hundredth, how many kilometers are in a mile?

Answer:

1.61

Step-by-step explanation:

1 mile × (5280 ft / 1 mile) × (1 kilometer / 3280.84 ft) = 1.61 kilometers

MIDDLE SCHOOL

The total percent daily value of iron for one day is 100 percent. A serving of baked beans gives you 25 percent of the total. What percent of the day’s iron will come from other foods?

Answer:

%75

Step-by-step explanation:

minus 25 from 100

MIDDLE SCHOOL

What is 3 1/5 times 3 1/6

3 1/5 times 3 1/6 is equal to 10 2/5

3 1/5 = (3*5 + 1)/5 = 16/5

3 1/6 = (3*6 + 1)/6 = 19/6

16/5 * 19/6 = 16*19 / 5*6 = 304 / 30 = 10 4/10 ⇒ 10 2/5

3 1/5 = (3*5 + 1)/5 = 16/5

3 1/6 = (3*6 + 1)/6 = 19/6

16/5 * 19/6 = 16*19 / 5*6 = 304 / 30 = 10 4/10 ⇒ 10 2/5

The answer to your question is 10.13 repeating or 10.1333333

MIDDLE SCHOOL

To prepare for a New Year’s parade John practice marching and playing his tuba for 15 minutes he took a break and then practiced 25 more minutes how many minutes did John practice in all

Answer:

15 + 25 = 40 minutes total.

Answer:

He practiced 40 minutes in all.

Step-by-step explanation:

Given,

The total time taken by him in practice before break = 15 minutes,

While, after break he practiced 25 more minutes,

Hence, the total time taken by him in all = Time taken before break + Time taken after break

= 15 minutes + 25 minutes

= 40 minutes.

HIGH SCHOOL

Factorise x^2 + 5x + 6

Which two numbers add up to 5 and multiply to 6?

Answer would be 2 and 3.

Rewrite the expression.

(x+2)(x+3)

Answer would be 2 and 3.

Rewrite the expression.

(x+2)(x+3)

X² + 5x + 6

x² + 3x + 2x + 6

(x + 2)(x + 3)

x² + 3x + 2x + 6

(x + 2)(x + 3)

MIDDLE SCHOOL

What value of n makes this expression equal to 6?

3n - (2+n)

A. 6

B. 4

C. 5

D. 3

B. 4

3n - (2 + n)

3(4) - (2 + 4)

12-6

=6

3n - (2 + n)

3(4) - (2 + 4)

12-6

=6

MIDDLE SCHOOL

8. Let f(x) = x 2 + 3x − 12 what is the average rate of change from x = 3 and x = 5?

HIGH SCHOOL

(Please answer quickly) Philip has between two hundred and three hundred baseball cards. which inequality represents thus situation?

F.) 200 < p < 300

G.) p < 300 or p < 200

H.) 200 > p > 300

J.) p < 200 and p > 300

I think F because it says between two hundred and three hundred, thou I'm not sure better to wait for someone else to answer and compare the answers.