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gayaneshka [121]
2 years ago
12

On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5

Mathematics
2 answers:
ivann1987 [24]2 years ago
5 0

Answer:

Step-by-step explanation:

VLD [36.1K]2 years ago
4 0

Answer:

On the number line integers from 16 to 24 is the answer.

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If equipment cost $20,000 and accumulated depreciation amounts to $6,000, the book value of the equipment is?
Rina8888 [55]

The book value of the equipment is $14000

Given,

equipment cost = $20,000

depreciation amounts =  $6,000

book value of the equipment = equipment cost - depreciation cost

= 20000 - 6000

= $14000

<h3>What Are Depreciation Expenses?</h3>

Depreciation expense, on the other hand, is the amortized portion of the cost of the business's fixed assets during a certain period. Depreciation expense is recognized in the income statement as a non-cash expense that reduces the  net income or profit of the business. For accounting purposes, depreciation expense is debited and  accumulated depreciation is credited.

Depreciation expenses are treated as non-cash expenses because periodic monthly amortization is  not involved in cash transactions.

To learn more about depreciation amounts from given link

brainly.com/question/1287985

#SPJ4

8 0
1 year ago
Of 575 broiler chickens purchased from various kinds of food stores in different regions of a country and tested for types of ba
chubhunter [2.5K]

Answer:

a) 0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630  

0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730  

And the 99% confidence interval would be given (0.630;0.730).  

b) We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

c) For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval  are satisfied, so then the results can be assumed for all the population

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest  

\hat p =0.68 represent the estimated proportion

n=575 is the sample size required (variable of interest)  

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

Part a

The confidence interval would be given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.58  

And replacing into the confidence interval formula we got:  

0.68 - 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.630  

0.68 + 2.58 \sqrt{\frac{0.68(1-0.68)}{575}}=0.730  

And the 99% confidence interval would be given (0.630;0.730).  

Part b

We are 99% confident that the true proportion of infected chickens are between 0.63 (63%) and 0.73 (73%)

Part c

For this case the answer would be No. Since all the required assumptions in order to construct the confidence interval  are satisfied, so then the results can be assumed for all the population

4 0
3 years ago
What is the inverse of f(x)=3x+6 ?
scZoUnD [109]

Answer:

\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }

Step-by-step explanation:

hello,

we can write

fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\ f^{-1}(x)=\dfrac{x-6}{3}

hope this helps

3 0
3 years ago
Select the statement that correctly compares two numbers.
shepuryov [24]
D because it’s the same
4 0
2 years ago
How do you do this problem 2/5+4a=-6/5 what does A = to?
a_sh-v [17]

Answer: A = -2/5

Step-by-step explanation:

- 6/5 - 2/5 = - 8/5 aka - 1 3/5

-1 3/5 ÷ 4 = - 2/5

4 0
2 years ago
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