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4 years ago

A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?

Mathematics

1 answer:

siniylev [52]4 years ago

5 0

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$ , hence

$log_{4}$ (2x - 12) = 3 ⇒ 2x - 12 = $4^{3}$ = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38

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How many 1/2 inch cubes can fit into a box with sides of 2 inches, 3 inches, and 3 inches.

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Please help me with this problem.

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We're going to use the equation given but let's first make sure we understand what the equation IS saying:

Area of a kite= [(1st diagonal) × (2nd diagonal)]/2

Now, let's find the 2 diagonals. In the case of kite shapes one of the diagonals is the line that goes from W to Y and the other is the line going from X to Z. In a kite they will always cross (no matter their lengths).

Now that we know the diagonals we can add the lengths that are given for each line to know what to multiply.

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Line X to Z: 12+12= 24

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3 years ago

What is the slope of the line through (6,0) and (7,1)

monitta

$\huge \bf༆ Answer ༄$

Let's find the slope of line passing through given points ~

$\sf \dfrac{y2 - y}{x2 - x1}$

$\sf \dfrac{1 - 0}{7 - 6}$

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2 years ago

Read 2 more answers

Raw scores on a certain standardized test one year were normally distributed, with a mean of 156 and a standard deviation of 23.

s344n2d4d5 [400]

Answer:

About 220 of the students scored less than 96

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.

Mean of 156 and a standard deviation of 23.

This means that $\mu = 156, \sigma = 23$

Proportion that scored less than 96:

p-value of Z when X = 96. So

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

$Z = \frac{96 - 156}{23}$

$Z = -2.61$

$Z = -2.61$ has a p-value of 0.00453.

About how many of the students scored less than 96?

0.00453 out of 48592.

0.00453*48592 = 220.1.

Rounding to the closest integer:

About 220 of the students scored less than 96

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3 years ago