Answer:
Below!
Step-by-step explanation:
Using Pythagoras theorem, I will solve all of the problems.
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<u>Question 9:</u>
- 10² = 6² + x²
- => 100 = 36 + x²
- => 100 - 36 = x²
- => 64 = x²
- => x = 8
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<u>Question 10:</u>
- 26² = 24² + x²
- => 676 = 576 + x²
- => 676 - 576 = x²
- => 100 = x²
- => x = 10
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<u>Question 11:</u>
- 15² = 12² + x²
- => 225 = 144 + x²
- => 225 - 144 = x²
- => 81 = x²
- => x = 9
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<u>Question 12:</u>
- x² = 8² + 12²
- => x² = 64 + 144
- => x² = 208
- => x = √208
- => x = 14.2 (Rounded)
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<u>Question 13:</u>
- 7² = 2² + x²
- => 49 = 4 + x²
- => 49 - 4 = x²
- => 45 = x²
- => x = √45
- => x = 6.7 (Rounded)
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<u>Question 14</u>
First, let's solve for the variable x using Pythagoras theorem.
- => 5² = 3² + x²
- => 25 = 9 + x²
- => 16 = x²
- => x = 4 units
Now, let's solve for the variable y using Pythagoras theorem.
- (3 + 6)² = 5² + y²
- => (9)² = 25 + y²
- => 81 = 25 + y²
- => y² = 56
- => y = √56
- => y = 7.5 (Rounded) units
Answers (Nearest tenth):
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<u>Question 15:</u>
First, let's find the value of the variable y using Pythagoras theorem.
- 8² = 6² + y²
- => 64 = 36 + y²
- => 28 = y²
- => y = √28
- => y = 5.3 (Rounded) units
Now, let's find the value of the variable x using multiplication.
- x = 2y
- => x = 2(5.3)
- => x = 10.6 units
Answer (Nearest tenth)
- x = 10.6 units
- y = 5.3 units
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Answer:
The commission rate is of 12%.
Step-by-step explanation:
Commission rate:
The commission rate is given by the commission value multiplied by 100% and divided by the value of merchandise sold.
In this question:
$252 in commission for selling $2100 in merchandise. So
252*100%/2100 = 12%
The commission rate is of 12%.
It depends on what way the figure is translated, but it's possible it could be a dilations, reflection, rotation, etc.
This question is incomplete, the complete question is;
A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.
Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
the standard deviation of the sampling distribution of sample means is 1.12
Step-by-step explanation:
Given the data in the question,
population mean; μ = 24.6 pounds
Population standard deviation; σ = 8.0 pounds
sample size; n = 51
Now determine the standard deviation of the sampling distribution of sample means.
standard deviation of the sampling distribution of sample means is simply
⇒ population standard deviation / √sample size
= 8.0 / √51
= 8.0 / 7.141428
= 1.120224 ≈ 1.12
Therefore, the standard deviation of the sampling distribution of sample means is 1.12
Average=(total number)/(number of items)
given that the final exam counts as two test, let the final exam be x. The weight of the final exams on the average is 2, thus the final exam can be written as 2x because any score Shureka gets will be doubled before the averaging.
Hence our inequality will be as follows:
(67+68+76+63+2x)/6≥71
(274+2x)/6≥71
solving the above we get:
274+2x≥71×6
274+2x≥426
2x≥426-274
2x≥152
x≥76
b] The above answer is x≥76, the mean of this is that if Shureka is aiming at getting an average of 71 or above, then she should be able to get a minimum score of 76 or above. Anything less than 76 will drop her average lower than 71.
