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KIM [24]
3 years ago
7

The following is a list od the heights of students in Molt's class

Mathematics
1 answer:
tia_tia [17]3 years ago
3 0

Answer:

6

Step-by-step explanation:

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An employee receives a 2% raise once per year. If the employee's initial salary is $60,000.00, what will
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The employee's salary after 9 years will be$70800

Step-by-step explanation:

find the % raise of the salary per year:2%×$60000=$1200

Then multiply the raise by the number of years:$1200×9=$10800

finally add the product with the initial salary:$10800+$60000=$70800

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Step-by-step explanation:

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Please hurry 14PTS 3 QUESTIONS
goldfiish [28.3K]

Answer:

a) 1/6 b) 0.11

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome

If a two six-sided number cubes are rolled e.g 2dice, the total number of sample space is expressed as 6^n where n is 2(since only 2 six sided cubes are rolled)

Total outcome of event = 6² = 36

If sum of 7 are generated after rolling, the expected outcome will be:

E = {(1,6),(6,1),(2,5),(5,2),(3,4),(4,3)}

Note that each of the list will given a sum of 7

Total expected outcome = 6

Probability that a sum of 7 is rolled

= 6/36

= 1/6

b) Similarly, if a product of 12 is rolled, the expected outcome of event are:

E = {(2,6),(6,2),(3,4),(4,3)}

Expected outcome = 4

Note that the product of each outcome will give us 12.

Probability that a product of 12 is rolled = 4/36

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3 0
3 years ago
(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the
Kisachek [45]

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

a^2+b^2=c^2, assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

The perimeter is all the sides added together, so 41+9+40 = 90 km is the perimeter.

The area are the two legs multiplied divided by 2.

So,

\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180

So the area of this triangle is 180 cm²

I hope this helped!

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