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slamgirl [31]
3 years ago
8

Will give brainliest answer

Mathematics
2 answers:
aleksandrvk [35]3 years ago
7 0

Answer:

First one: log_10 (100) = 2 OR log (100) = 2

Second one: 5^-3 = 1/125

Step-by-step explanation:

Let's say the formula for a basic exponent equation is this:

a = b^x

a is the answer when you calculate b^x

b is the base

x is the exponent

Here's the log formula using those variables:

log_b (a) = x

As long as you know how to rearrange the numbers/variables, you are good to go:

100 = 10^2

a = 100

b = 10

x = 2

log_10 (100) = 2

You can also write this one as log (100) = 2 because when you put log by itself, it's assumed that the base thing already equals 10.

log_5 (1/125) = -3

a = 1/125

b = 5

x = -3

5^-3 = 1/125

Hope it helps (●'◡'●)

Alik [6]3 years ago
5 0

Answer:

Below.

Step-by-step explanation:

log  10  ( 100 )  =  2

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.
aleksandr82 [10.1K]

Answer:

The probability is 0.508 = 50.8%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g.

This means that \mu = 0.8544, \sigma = 0.0525

If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8535 g.

This is 1 subtracted by the pvalue of Z when X = 0.8535. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.8535 - 0.8544}{0.0525}

Z = -0.02

Z = -0.02 has a pvalue of 0.492

1 - 0.492 = 0.508

The probability is 0.508 = 50.8%.

8 0
3 years ago
What’s the correct answer for this?
joja [24]

Answer:

MN = 48

Step-by-step explanation:

Since AB is a diameter , so it divides MN into 2 equal parts i.e. MO = NO

7x-4 = 6x

7x-6x = 4

x = 4

Now

MN = MO + NO

MN = 7x-4+6x

MN = 7(4)-4+6(4)

MN = 28-4+24

MN = 48

6 0
3 years ago
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tia_tia [17]

Answer:

10,000

Step-by-step explanation:

There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code.

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2 years ago
Solve for x. The figure is a parallelogram
Ivan

Answer:

x = 1

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

94x + 1 = 95 ( subtract 1 from both sides )

94x = 94 ( divide both sides by 94 )

x = 1

3 0
3 years ago
PLEASE HELP IT"S URGENT <br> Which figure has the greater Volume??
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