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3 years ago

Log14/3+log11/5-log22/15=log

Mathematics

2 answers:

Vlad [161]3 years ago

8 0

Answer:

log(7)

Step-by-step explanation:

$\log{\dfrac{14}{3}}+\log{\dfrac{11}{5}}-\log{\dfrac{22}{15}}=\log{\dfrac{\dfrac{14}{3}\cdot\dfrac{11}{5}}{\dfrac{22}{15}}}=\log{\dfrac{14\cdot 11}{22}}\\\\=\log{7}$

_____

The applicable rules of logarithms are ...

log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)

Alika [10]3 years ago

7 0

Answer:

s=0.0500826

Step-by-step explanation:

adding 10 as their base

log14/3+log11/5-log22/15=log

swap the sides

10s= log14/3+log11/5-log22/15

divid both sides by 10

log10 14/30+log10 11/50-log10 22/150

s=0.0500826

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The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p?

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The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p

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3. The store at your school wants to stock sweatshirts that come in four sizes (small, medium, large, xlarge) and in two colors

krek1111 [17]

Answer:

Step-by-step explanation:

The different types of sweatshirts that store have to stock can be calculated as 4×2=8 sweatshirts. Another approach to calculate the different type of sweatshirts that store have to restock is by making the sample space. Let S denotes small, M denotes medium, large denotes L, extra large denotes EL, R denotes red and W denotes white. S={ SR,MR,LR,ELR,SW,MW,LW,ELW}.

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4 years ago

5/3 divided by 2 what is it

shtirl [24]

Answer:So you want to divide your fraction 5/3 by your whole number 2, right? You're in the right place. In this simple walkthrough guide, I will show you exactly what you need to do to divide any fraction by a whole number (it's super simple). Keep reading to find out!

The number above the dividing line is the numerator, and the number below the line is the denominator. Simple stuff but sometimes we can all get a little forgetful!To visualize the question we are trying to solve, let's put 5/3 and 2 side-by-side so it's easier to see:

÷ 2

So here is the incredibly easy way to figure out what 5/3 divided by 2 is. All we need to do here is keep the numerator exactly the same (5) and multiple the denominator by the whole number:

Step-by-step explanation:5

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2 years ago

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One number is 7 less than a second number. Twice the second number is 7 less than 5 times the first. Find the smaller of two num

aliya0001 [1]

N = x-7
2x = 5n-7

2x = 5(x-7)-7
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x=14
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4 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

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4 years ago