Find the 95% confidence interval for a sample of size 358 with 13% successes. A) (0.0973, 0.1627) B) (0.1156, 0.1444) C) (0.1257, 0.1343) D) (0.1378, 0.1222)

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

0.0973, 0.1627.

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Greg was adding numbers on a number line. He started on –5 and then he added –8. Greg wrote that the answer was +13. Is Greg's answer reasonable?

A.
No, it is not reasonable because –5 + –8 = –13.

B.
Yes, it is reasonable because –5 + –8 = +13.

C.
No, it is not reasonable because if you add two numbers you will get a number that is greater than either of the two numbers.

Answers

The answer is A. because this would count as subtraction anyways.

If anyone understands proofs, could you walk me through this? I really don't get them. Any help would be appreciated!

Answers

Just a note before I get started: The specific theorem/postulate/definition will be given in quotes. Everything else will be explanation of why we will use itLets get started :D
b. We can use the "definition of a square" because it states that it a square, every side is congruent. We can use this because we already know that the shape is a square due to a.

c. We can use "definition of a square" again for the same reason as b.

e. We know that the hypotenuses (hypoteni?) of both triangles are congruent, and they both share a side, so we can use the "Hypotenuse Leg Theorem"

f. Because we know that the triangles are congruent, we can use the "Base Angle Theorem" to say that the angles are congruent.

h. Because they share the same side, we can use the "Linear Pair Theorem" to say that they are supplementary angles

Hope this helped! Sorry if its a bit late. :D

In mathematics, a proof is a deductive argument for a mathematical statement. In the argument, other previously established statements, such as theorems, can be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms.

11. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds?Round your answer to the nearest hundredth.A. 112.49 pounds
B. 12.24 pounds
C. 53.44 pounds
D. 78.92 pounds

12. Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?
A. $16.57
B. $8.29
C. $7.25
D. $12.89

Answers

11. 375x0.1425 = 53.475 (53.44 to 2 d.p.)

12. 116 / (9+7) = $7.25
Total payment / Hours spent working = Money per hour

Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour? $12.89

A paint color is made by using 4 drops of red and 5 drops of blue for each 5 gallons of paint . How many gallons of paint are being colored when 45 drops are used ????

Answers

Final answer:

With 4 drops of red and 5 drops of blue used for every 5 gallons of paint, this forms a 9:5 ratio.

With 45 drops, which is 5 times 9, the there would be enough color for 25 gallons of paint.

Explanation:

A ratio states the relative sizes of two or more values. In this case, it is said that for each 5 gallons of paint, there are 4 drops of red and 5 drops of blue, making a total of 9 drops of color for every 5 gallons of paint.

To figure out how many gallons of paint are being colored with 45 drops, you would find out how many 'sets' of 9 drops are in 45, which is 5.

So, there are enough drops to color 25 gallons of paint (5 sets times 5 gallons per set).