The difference of twice a number and five is three. find the number.

Mathematics

1 answer:

Feliz [49]3 years ago

3 0

Let number be x

2x - 5 = 3
2x = 3 + 5
x = 8 / 2
= 4

The number is 4

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Step-by-step explanation:

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What is the slope of the line y = -5 - 3x ?<br> o 3<br> O 5<br> 0 -3<br> 0 -8

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Step-by-step explanation:

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The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar

Serggg [28]

Answer:

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3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

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$\bar x$ represent the sample mean

n=10 the sample size

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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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

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Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.