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3 years ago

Which is equal to log base 2n=4

Mathematics

2 answers:

Irina18 [472]3 years ago

7 0

Properties of log

log b a = x is the same as logb/loga = x

log b a = logb/loga

so;

log 2 n = 4 ; logn/log2 = 4 ; logn = 4log2

the answer is logn = 4log2

o-na [289]3 years ago

4 0

To solve this problem you must apply the proccedure shown below:

1. You have the following logarithm:

<span>log(2)n=4

2. Therefore, you con rewrite it as below:

loga(b)=logb/loa
</span>
3. Therefore, you have:

log(2)n=4⇒log(n)/log(2)=4

4. Then, you obtain:

log(n)=4log(2)

5. Therefore, as you can see, the answer for the exercise shown above is the last option, which is:

log(n)=4log(2)

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Solve 3x2 + 17x - 6 = 0.

geniusboy [140]

$3x^2 + 17x - 6 = 0\\
3x^2-x+18x-6=0\\
x(3x-1)+6(3x-1)=0\\
(x+6)(3x-1)=0\\
x=-6 \vee x=\dfrac{1}{3}$

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3 years ago

Read 2 more answers

A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one part

Sergeu [11.5K]

Answer:

The standard deviation increased but there was no change in the interquantile range

Step-by-step explanation:

We are given the following data in the question:

320, 411, 348, 537, 420, 449, 462, 403, 454, 517, 515, 358, 438, 541, 387, 368, 502, 437, 431, 428.

n = 20

a) Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{8726}{20} = 436.3$

Sum of squares of differences =

13525.69 + 640.09 + 7796.89 + 10140.49 + 265.69 + 161.29 + 660.49 + 1108.89 + 313.29 + 6512.49 + 6193.69 + 6130.89 + 2.89 + 10962.09 + 2430.49 + 4664.89 + 4316.49 + 0.49 + 28.09 + 68.89 = 75924.2

$S.D = \sqrt{\frac{75924.2}{19}} = 63.21$

Sorted Data = 320, 348, 358, 368, 387, 403, 411, 420, 428, 431, 437, 438, 449, 454, 462, 502, 515, 517, 537, 541

$IQR = Q_3 - Q_1\\Q_3 = \text{upper median},\\Q_1 = \text{ lower median}$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

$Median = \frac{431 + 437}{2} = 434$

$Q_1 = \frac{387 + 403}{2} = 395\\\\Q_3 = \frac{462 + 502}{2} = 482$

IQR = $482 - 395 = 87$

b) After changing the observation

0, 411, 348, 537, 420, 449, 462, 403, 454, 517, 515, 358, 438, 541, 387, 368, 502, 437, 431, 428

$Mean =\displaystyle\frac{8406}{20} = 420.3$

Sum of squares of differences =

176652.09 + 86.49 + 5227.29 + 13618.89 + 0.09 + 823.69 + 1738.89 + 299.29 + 1135.69 + 9350.89 + 8968.09 + 3881.29 + 313.29 + 14568.49 + 1108.89 + 2735.29 + 6674.89 + 278.89 + 114.49 + 59.29 = 247636.2

$S.D = \sqrt{\frac{247636.2}{19}} = 114.16$

Sorted Data = 0, 348, 358, 368, 387, 403, 411, 420, 428, 431, 437, 438, 449, 454, 462, 502, 515, 517, 537, 541

$Median = \frac{431 + 437}{2} = 434$

$Q_1 = \frac{387 + 403}{2} = 395\\\\Q_3 = \frac{462 + 502}{2} = 482$

IQR = $482 - 395 = 87$

Thus. the standard deviation increased but there was no change in the interquantile range.

5 0

3 years ago

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. find the probability that he m

bogdanovich [222]

we are given

basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time

so, probability of making shot is

=88%

so, p=0.88

To find the probability of missing first shot and making the second shot

so, we can use formula

probability = p(1-p)

now, we can plug values

we get

$probability=0.88(1-0.88)$

So, the probability that he misses his first shot and makes the second is 0.1056........Answer

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3 years ago

Twenty-seven minus 1.5 of a number (x) is not more than 36. What is the number?

alexandr1967 [171]

Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.

Add 1.5x to both sides, so as to make the coefficient of x positive:

27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6

Check: let x = -6. Is the given equation then true?

27 = 36 + 1.5(-6) => -9 = -9? Yes.

Check: let x > -6. Is <span>Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.

Thus, x is equal to or greater than -6.</span>

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3 years ago

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musickatia [10]

Answer:

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3 years ago