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den301095 [7]
3 years ago
10

Solve q - 6 = the square root of 27 - 2q

Mathematics
2 answers:
taurus [48]3 years ago
8 0
Q - 6 = √(27 - 2q)
----------------------- each side squared by two
(q - 6)² = 27 - 2q
q² - 6q - 6q + 36 = 27 - 2q
q² - 12q + 36 = 27 - 2q
------------------------ move all terms to the left side
q² - 12q + 2q + 36 - 27 = 0
q² - 10q + 9 = 0
------------------------ factorize
(q - 9)(q - 1) = 0
q = 9 or q = 1

The solution is
q = 9
or
q = 1
adelina 88 [10]3 years ago
6 0
The answer and the procedure of working out can be seen in the picture

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Answer:

59 to 66

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Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

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Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
4 years ago
25% discount for AED 4000
Lostsunrise [7]

Answer:

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Step-by-step explanation:

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i.e

Discount amount = 25% of 4000

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Step-by-step explanation:

Claire loaded her truck with vegetables from her garden to sell at a local market. Which of the following BEST describes Claire's truck? *

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Answer: Okay the numbers you put was confusing but I think I got it.

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