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Yuki888 [10]
2 years ago
10

A family's home is currently worth $1,553,426, which is 70% higher than the home was

Mathematics
1 answer:
KATRIN_1 [288]2 years ago
3 0

Answer:

The value of home when bought was $913,780.

Step-by-step explanation:

Given that:

Current worth of the house = $1,553,426

This is 70% more than the original worth of the house.

Let,

100 be the original percent and x be the original worth

Percent increase = (100+70)% = 170%

170% of x = $1,553,426

\frac{170}{100}x=1553426

1.7x = 1553426

Dividing both sides by 1.7

\frac{1.7x}{1.7}=\frac{1553426}{1.7}\\x= 913780

Hence,

The value of home when bought was $913,780.

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Step-by-step explanation:

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A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers
Cerrena [4.2K]

Answer:

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

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For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation  

\bar X=70.2 represent the mean height for the sample  

s represent the sample standard deviation for the sample  

n=20 sample size  

\mu_o =765 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:  

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

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3 years ago
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3 years ago
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Tresset [83]
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So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

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The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
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