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lesantik [10]
3 years ago
7

In the problems below, f(x) = log₂x and

Mathematics
1 answer:
kramer3 years ago
3 0

Answer:

(1,0)

Step-by-step explanation:

The given functions are:

f(x) = log₂x

and

g(x) = log₁₀x

We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

Therefore the point the graphs of f and g have in common is (1,0)

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Answer:

32.5

Step-by-step explanation:

13 times 5 = 165

165/2 =32.5

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3 years ago
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pickupchik [31]
If your average speed is 2.05 and your time is the average of .87+.94+.72=0.843 then your answer should be 1.728 because distance= speed x time. I don’t know if this is correct because you didn’t label what the numbers were but I hope this helped you!! :)
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A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population
NikAS [45]

Answer:

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

Step-by-step explanation:

1. Let's review the information provided to answer the question correctly:

Mean of the population of box weights = 90 pounds

Standard deviation of the population of box weights = 24 pounds

Sample size = 36 boxes

2. What is the probability that the average weight of the boxes will exceed 94 lb?

For answering this question, we will use the z-scores table.

For using the correct z-score, we should use the correct standard deviation. In this case, we have that:

94 - 90 = 4 pounds above the mean.

4 pounds are 4/24 of the standard deviation,

therefore, simplifying:

4/24 = 1/6 = 0.1666......and we'll round to 0.17

z-score is 0.17 because 4 pounds is 1/6 of the standard deviation (24).

The probability of a z-score is 0.5675, but in this case we're asked by a weight over 94 pounds, not under 94 pounds, thus:

1 - 0.5675 = 0.4325

<u>The probability that the average weight of the boxes will exceed 94 pounds  is 43.25%</u>

8 0
3 years ago
Y=x^2-2x-5;y=x^3-2x^2-5x-9
ehidna [41]
Are the directions asking you to solve these ?
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3 years ago
Margaret’s bottle of shampoo is 7/8 full. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fraction of s
AleksandrR [38]

Fraction of shampoo left = \frac{13}{24}

Solution:

Given fraction of full shampoo  =\frac{7}{8}.

Fraction of shampoo Margaret used  =\frac{1}{3}

Fraction of shampoo left = Full shampoo – fraction of shampoo used

                                          =\frac{7}{8}-\frac{1}{3}

To make the denominators same do cross multiplication.

                                          =\frac{7\times3}{8\times3}-\frac{1\times8}{3\times8}

                                          =\frac{21}{24}-\frac{8}{24}

                                          =\frac{21-8}{24}

                                          =\frac{13}{24}

Hence \frac{13}{24} of the shampoo bottle is left.

8 0
3 years ago
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