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3 years ago

Whats the solution to x-7>-5

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

3 0

X-7 > -5
x < -5-7
x < -12

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Is the sequence 5, 9, 15, an arithmetic sequence? Explain.

igor_vitrenko [27]

Answer:

Step-by-step explanation:

An arithmetic sequence has a common difference between adjacent terms. Here, the differences are ...

9 -5 = 4
15 -9 = 6

The differences are different, not common, so this is NOT an arithmetic sequence.

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3 years ago

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White raven [17]

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3 years ago

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What is the solution of log (3x+2) = log2 (4x-6)? 08 0-6 08 9

grin007 [14]

Answer:

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3 years ago

A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency.

Law Incorporation [45]

Answer:

4.4

Step-by-step explanation:

The sum of the probabilities of all possible outcomes is 1.

As the die is loaded so that the number 4 occurs 3/10 of the time, and the other numbers occur with equal frequency, then the probability of numbers 1, 2, 3, 5, 6, 7 and 8 being rolled is 1/10.

Create a probability distribution table for X, where X is the score on the loaded 8-sided die:

$\begin{array}{ | c | c | c | c | c | c | c | c | c |}\cline{1-9}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\\cline{1-9} & & & & & & & &\\ \text{P}(X=x) & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{3}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10} & \dfrac{1}{10}\\& & & & & & & &\\\cline{1-9}\end{array}$

Add a product row and a totals column:

$\begin{array}{ | c | c | c | c | c | c | c | c | c | c |}\cline{1-10}x & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 &\text{Total} \\ \cline{1-10} &&&&&&&&& \\ \text{P}(X=x) & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{3}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & \frac{1}{10} & 1\\ &&&&&&&&&\\ \cline{1-10} &&&&&&&&&\\\text{Product} & \frac{1}{10} & \frac{2}{10} & \frac{3}{10} & \frac{12}{10} & \frac{5}{10} & \frac{6}{10} & \frac{7}{10} & \frac{8}{10} & \frac{44}{10} \\ &&&&&&&&&\\\cline{1-10}\end{array}$

(The Product is row is the product of the score on the die and its probability).

The expected value (EV) is the sum of the product of each outcome and its probability.

Therefore, the expected value (EV) of this die is 44/10 = 4.4

6 0

2 years ago

The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.

Neporo4naja [7]

Answer:

-8-6

-8+6

6-(-8)

Step-by-step explanation:

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3 years ago