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Len [333]
3 years ago
14

The difference between x and 6 is less than 14

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

X-6=14

Add 6 on both sides

X=20

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gladu [14]

Answer:

13. Parallelogram

14. alternate interior angles (h & a)

same side interior angles (e+d & a)

Step-by-step explanation:

13. Parallelogram: Draw it out with the angles. It helps. It can't be a square, because the side lengths aren't the same (2 lines vs 1 line). It can't be a rectangle because rectangles have 90 degrees and not 152 and 28. It can't be a rhombus because the side lengths in a rhombus must be the same (a rhombus is a square that has been stretched).

14. Look at picture (there might be more than what I wrote in the answer)

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3 years ago
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N office manager receives reports from employees via email. The probability model describes the number of emails the manager may
aleksley [76]

Answer:

The correct answer is 2.45.

Step-by-step explanation:

Probability model of an office manager regarding reports from employees is given by:

X = 0; P(X) = 0.05

X = 1; P(X) = 0.15

X = 2; P(X) = 0.35

X = 3; P(X) = 0.25

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X = 5; P(X) = 0.05

Now expectation of number of emails that the manager would receive is given by X × P(X)

= 0 × 0.05 + 1 × 0.15 + 2 × 0.35 + 3 × 0.25 + 4 × 0.15 + 5 × 0.05

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11. The completion of a chemical reaction is expressed by the equation y = 300 - 4x - XP, where y is
alina1380 [7]

Answer:

The reaction ca occur at 10 degree Celsius or -14 degree Celsius.                                          

Step-by-step explanation:

We are given the following in the question:

The completion of a chemical reaction is expressed by the equation

y = 300 - 4x -x^2

where y is  the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius  at which the reaction occurs.

We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.

Putting y = 160

160 = 300 - 4x -x^2\\x^2 + 4x  - 140 = 0\\x^2 + 14x -10x -140 = 0\\x(x+14)-10(x+14)=0\\(x-10)(x+14) = 0\\(x-10) =0, (x+14) =0\\x = 10, x = -14

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.

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3 years ago
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