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densk [106]
3 years ago
13

A set of final examination grades in a calculus course was found to be normally distributed with a mean of 69 and a standard dev

iation of 9. What percentage of students scored between 65 and 89?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer: 66%

Step-by-step explanation:

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First add 6 &4 and you get ten then you divide 9 by 10 and get .9
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3 years ago
Simplify the expression 5+6i/4+6i<br> A) 56-6i/-20<br> B) -16-6i/-20<br> C)56-6i/52<br> D) -16-6i/52
IRISSAK [1]

Answer:

The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

= \frac{5 + 6i}{4 + 6i}

Now rationalize the expression.

= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}

= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}

As i² = -1

= \frac{20-30i+24i+36}{16 + 36}

= \frac{56-6i}{52}

Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.

Option (C) is correct .

8 0
3 years ago
Read 2 more answers
-4(3 - 2x) + 2x = 2x - 8
Dennis_Churaev [7]

Answer:

C) x = ½

Step-by-step explanation:

Using the <em>Distributive Property</em> and combining like-terms will give you this:

-12 + 10x = 2x - 8

- 10x -10x

--------------------

-12 = -8x - 8

+ 8 +8

-------------

-4 = -8x [Divide by -8]

½ = x

I am joyous to assist you anytime.

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Calculate how many cups of butter your new recipe will need.
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2 years ago
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