MATHEMATICS COLLEGE

John has five apples and he gives two to his friend how many apples does John have left

Answers

Answer 1

Answer:

Answer:

3 apples

Step-by-step explanation:

Total amount of apple John has = 5 apples

Amount given out to his friend = 2 apples

Number of apples Joh have left = Total amount of apple - Amount given out

Number of apples Joh have left = 5 apples - 2 apples

Number of apples Joh have left = 3 apples

Hence John has 3 apples left

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The archaeological site of Tara is more than 4000 years old. Tradition states that Tara was the seat of the high kings of Ireland. Because of it's archaeological importance, Tara has received extensive study (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin). Suppose an archaeologist wants to estimate the density of ferromagnetic artifacts in the Tara region. For this purpose, a random sample of 55 plots, each of size 100 square meters, is used. The number of ferromagnetic artifacts for each plot is determined.

Answers

Answer: Hello your question is incomplete attached below is the complete question.

answer:

a) The number of ferromagnetic artifacts per 100 square meters ( option A )

b) quantitative ( option D )

c) Entire Tara region ( option A )

Step-by-step explanation:

a) Determine The Variable

The number of ferromagnetic artifacts per 100 square meters

b) The Variable is quantitative

This is because the variable used in the study has numerical value attached to it hence we can say it is a quantitative variable.

c) The implied population

Entire Tara region

1 Which expression is equivalent to 1/3y?• 1/3(y+12)-12
1/6y+1/3(y+3
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)

Answers

Answer:

1/6y+1/6(y+12)- 2

Step-by-step explanation:

Distribute $(1)/(6)$ through the parentheses : $(1)/(6)$ y + $(1)/(6)$ y + 2 - 2

Remove the opposites and calculate ( since two opposites add up to zero remove them from the expression) : $(1)/(6)$ y + $(1)/(6)$ y

Calculate the sum : $(1)/(3)$ y

Solution : $(1)/(3)$ y

Answer:

The answer is 1/6y+1/6(y+12)-2

According to the Centers or Disease Control and Prevention, 9.6% of high school students current through (c) below a (a) Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) (b) If the sample data indicate that the null hypothesis should not be rejected, state the conclusion of the high school counselor. 0 A. There is sufficient evidence to conclude that the proportion of high school students exceeds 0.096 at this counselors high school. O B. There is not sufficient evidence to conclude that the proportion of high school students exceeds 0.096 at this counselor's high school o c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O D There is not sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselors high school.

Answers

Answer:

c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O

Step-by-step explanation:

Given that according to the Centers or Disease Control and Prevention, 9.6% of high school students current through (c) below a

(a) Determine the null and alternative hypotheses.

$H_0: p =0.096\nH_a : p >0.096$

(right tailed test for proportion of high school students )

b) If the null hypothesis should not be rejected, state the conclusion of the high school counselor.

c There is sufficient evidence to conclude that the proportion of high school students stayed 0.096 at this counselor's high school O

. Five jobs (A, B, C, D, E) are already in the READY queue waiting to be processed. Their estimated CPU cycles are respectively: 2, 10, 15, 6, and 8. Using SJN, in what order should they be processed?

Answers

Answer:

Job A - Job D - Job E - Job B - Job C

Step-by-step explanation:

Job A = 2

Job B = 10

Job C = 15

Job D = 6

Job E = 8

SJN (Shortest Job Next) is also known as Shortest Job First. In Shortest Job Next, the job with the shortest time among the available jobs is executed first then followed by the next job having the shortest time till all the jobs are finally executed.

Since all the five jobs are already in the queue: they will be processed based on the job having the shortest CPU time among the available job.

Job A will be processed first since it has smallest time of 2, followed by Job D with a time of 6, followed by Job E with a time of 8, followed by Job B with a time of 10 and finally Job C which is processed last.

Data sets A and B are dependent. Find mean of the differences (d bar).A 32 30 49 45 33
B 30 26 27 37 24
Assume the paired data came from a population that is normally distributed.

Answers

Answer:

9.0

Step-by-step explanation:

Mean = Sum of terms/Number of terms

For Data Set A

Mean = 32 + 30 + 49 + 45 + 33/5

= 189/5

= 37.8

For Data Set B

Mean = 30 + 26 + 27 + 37 + 24/5

= 144/5

= 28.8

Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B

Mean Difference = 37.8 - 28.8

= 9.0

A truss is a structure used to support the roofs of houses. Below is a picture of a truss with an enlargement of one right triangle. To the nearest hundredth inch, what is measure of x?

Answers

Answer:

19.80 in

Step-by-step explanation:

The Pythagorean theorem tells you ...

28² = x² + x²

28² = 2x² . . . . . collect terms

28 = (√2)x . . . . take the square root

28/√2 = x ≈ 19.79899 ≈ 19.80 . . . . . divide by the coefficient of x and round (dimensions are in inches)

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