MATHEMATICS HIGH SCHOOL

Ebony earned scores of 71, 73, 83, 94, and 82 on five math tests. Determine herscore on the sixth test if her average for the six tests was 83? Enter your answer as a
whole number
Your Answer:

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given:71, 73, 83, 94, 82 avg 83 unknown number:x

83 equals 71+73+83+94 +82+x divided by number of scores.

71+73+83+94 +82+x is divided by 6

rearrange equation so that you solve for x

83 times 6

add 71, 73, 83, 94, 82

equation becomes 498=403+x

minus 403 from 498 and that is your x

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A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Answers

Answer:

Step-by-step explanation:

Given that

mu = 1502.5 pages

Sample mean x bar = 1511.4 pages

Std deviation =s= 35.7 pages

Sample size n = 40

By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with

mean =1511.4 and std error = $(35.7)/(√(40) ) \n=5.64$

Test statistic t = Mean diff/STd error = 1.613

df = 39

A glacier moves about 3 inches every 9 hours. At that rate, about how far does the glacier move in 36 hours?

Answers

Answer:

Step-by-step explanation:

Since 36 is divisible by 9 we can divide 36 by 9 to get 4 then you multiply 4 by the 3 inches to get 12. Or you could find the unit rate 1:12 and get it from there hope this helps!

12 inches

3 inch in 9h
1 inch in 3h
12 inch in 36h

Write a ratio that is equivalent to 8:6

Answers

Answer:

4/3

Step-by-step explanation:

Answer:8 : 6 16 : 12 24 : 18 32 : 24 40 : 30

Step-by-step explanation: There all equivalent

In a standard pack of cards there are 52 cards. The deck is made up of 4 suits of 13 cards each; red hearts, red diamonds, black clubs, and black spades. Each suit is made up of one of each of the following cards; ace, 2, 3, 4, 5, 6, 7, 8, 9, jack, queen, king; making 4 of each in the deck.(Ex: jack of heart, jack of diamonds, jack of clubs, and jack of spades).What is the probability of drawing a card that is a 9 or a diamond?

Enter your answer as a reduced fraction (__/__).

Answers

6/13
It comes out to 24/52 which then simplifys

Compare using <, >, or =.
5 3/4___6 1/4

Answers

the answer would < because 6 1/4 is larger than 5 3/4. Hope that helps!

State a true conclusion.1) If a triangle has a right angle, then the triangle is a right triangle.
2) Triangle ABC is not a right triangle.

Conclusion:

Answers

Answer:

The conclusion is that the triangle ABC doesn't have any right angles because all angles are less than 90°

Final answer:

Given the statements that 'if a triangle has a right angle, then it's a right triangle' and that 'Triangle ABC is not a right triangle', we can conclude that 'Triangle ABC does not have a right angle'.

Explanation:

The given statements are:

If a triangle has a right angle, then the triangle is a right triangle.
Triangle ABC is not a right triangle.

From these statements, the true conclusion that can be drawn is: Triangle ABC does not have a right angle.

This conclusion is derived from the logical sequence of the given statements. In simple terms, statement 1 tells us that having a right angle defines a right triangle. Then, in statement 2, we are told that Triangle ABC is not a right triangle, which, based on statement 1, allows us to conclude that Triangle ABC does not have a right angle.