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natka813 [3]
3 years ago
6

If 10^x = 5, what is x?

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer:

x=0.69897009

Step-by-step explanation:

expand by logarithms

10^x=5

=log(10^x)=log(5)

=x log(10)=log (5)

log base 10 of 10 is 1

x.l =log(5)

multiple bothside by 1

x=log(5)

x=0.6989709

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Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

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3 years ago
Given that g(x)=x-3/x+4 find each of the following.
maks197457 [2]

Given that the function g(x)=x-3/x+4, the evaluation gives:

  1. g(9) = 6/13.
  2. g(3) = 0.
  3. g(-4) = undefined.
  4. g(-18.75) = 1.07.
  5. g(x+h) = x+h-3/x+h+4

<h3>How to evaluate the function?</h3>

In this exercise, you're required to determine the value of the function g at different intervals. Thus, we would substitute the given value into the function and then evaluate as follows:

When g = 9, we have:

g(x)=x-3/x+4

g(9) = 9-3/9+4

g(9) = 6/13.

When g = 3, we have:

g(x)=x-3/x+4

g(3) = 3-3/3+4

g(3) = 0/13.

g(3) = 0.

When g = -4, we have:

g(x)=x-3/x+4

g(-4) = -4-3/-4+4

g(-4) = -1/0.

g(-4) = undefined.

When g = -18.75, we have:

g(x)=x-3/x+4

g(-18.75) = -18.75-3/-18.75+4

g(-18.75) = -15.75/-14.75.

g(-18.75) = 1.07.

When g = x+h, we have:

g(x)=x-3/x+4

g(x+h) = x+h-3/x+h+4

Read more on function here: brainly.com/question/17610972

#SPJ1

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What’s the word problem
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Boris has ridden 21 miles of a bike course. The course is 30 miles long. What percentage of the course has Boris ridden so far?
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Answer:

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