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Ilya [14]
3 years ago
12

juan worked 2.5 hours each day from monday through friday plus 7.5 hours on saturday. his total pay was 128 dollars. how much di

d he earn per hour?
Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
Juan earned $6.40 per hour. Because he worked 12.5 hours monday through friday plus the extra 7.5 hours on saturday which equals 20. And 128 divided by 20 is 6.40
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earnstyle [38]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

\bar x represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

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:

df=n-1=10-1=9

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.  

The excel commands would be: "=CHISQ.INV(0.025,9)" "=CHISQ.INV(0.975,9)". so for this case the critical values are:

\chi^2_{\alpha/2}=19.022

\chi^2_{1- \alpha/2}=2.700

And replacing into the formula for the interval we got:

\frac{(9)(4.798)^2}{19.022} \leq \sigma \frac{(9)(4.798)^2}{2.700}

10.892 \leq \sigma^2 \leq 76.736

Now we just take square root on both sides of the interval and we got:

3.30 \leq \sigma \leq 8.76

So the best option would be:

3.30<σ<8.76

7 0
3 years ago
IM TAKING A TEST HELP
nignag [31]
What’s the question???...
5 0
3 years ago
Read 2 more answers
Part of arianna’s earnings are based on a 5% commission rate. At the end of the day arianna earned 14.98 in commission. How much
Katarina [22]

Arianna sold for $ 299.6

<em><u>Solution:</u></em>

Given that, Part of Arianna’s earnings are based on a 5% commission rate

At the end of the day arianna earned 14.98 in commission

Therefore,

Commission earned = $ 14.98

Commission rate = 5 %

Let "x" be the amount that Arianna sell that day

Therefore, according to question,

5 % of amount earned = 14.98

5 % of "x" = 14.98

<em><u>Solve the above equation for "x"</u></em>

5 \% \times x = 14.98\\\\\frac{5}{100} \times x = 14.98\\\\5x = 14.98 \times 100\\\\5x = 1498\\\\Divide\ both\ sides\ of\ equation\ by\ 5\\\\x = 299.6

Thus arianna sold for $ 299.6

7 0
3 years ago
How do I solve this 4/5 -3/9 I solve
Oksana_A [137]

Answer:

21/45

Step-by-step explanation:

You make the denominator the same and u also multiply the top too and u subtract and thats how u get the answer

3 0
3 years ago
Read 2 more answers
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