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kenny6666 [7]
3 years ago
15

86= 10x + 26, what is x?

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0

Answer:

x=6

Step-by-step explanation:

86= 10x + 26

Subtract 26 from each side

86-26 = 10x+26-26

60 = 10x

Divide each side by 10

60/10 = 10x/10

6 = x

pashok25 [27]3 years ago
6 0

Answer:

60 = 10x \\ x = 6

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Answer:

1) We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

2) df=n-1=8-1=7  

Since is a one sided test the p value would be:  

p_v =P(t_{(7)}>2.233)=0.0304  

3) For this case is we use a significance level of 1% or 99% of confidencewe see that p_v >\alpha and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance \alpha=0.05 or 95% of confidence we see that p_v and we have enough evidence to conclude that the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=6.5 represent the sample mean

s=1.9 represent the sample standard deviation

n=8 sample size  

\mu_o =5 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)  

Part 1: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 5 gpm, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

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)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{6.5-5}{\frac{1.9}{\sqrt{8}}}=2.233    

Part 2: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=8-1=7  

Since is a one sided test the p value would be:  

p_v =P(t_{(7)}>2.233)=0.0304  

Part d: Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant higher compared to the height of men in 1960 at 1% of signficance.  

Part 3

For this case is we use a significance level of 1% or 99% of confidencewe see that p_v >\alpha and we don't have enough evidence to conclude that the specification is satified. But if we use a value of significance \alpha=0.05 or 95% of confidence we see that p_v and we have enough evidence to conclude that the specification is satisfied.

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The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Before solving it, first let's discuss the tenth and hundredths,

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  • Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.

Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

One and four tenths can be written as,

1\dfrac{4}{10}

Nine and seventy-eight hundredths can be written as,

9\dfrac{78}{100}

Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,

p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\

Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

Learn more about the inequality equation here:

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