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Papessa [141]
2 years ago
11

1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.

Mathematics
1 answer:
laila [671]2 years ago
3 0

Answer:

5

Step-by-step explanation:

this means it'll be $55

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45

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

df=n-1=9-1=8

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
Cost of donuts?<br> Cost of one large coffee?
Liula [17]
U need to didvid the donuts price to the pricwao coffe nd the coffe price to donut price
6 0
3 years ago
Which of the following is irrational?
dedylja [7]

Answer:

\sqrt{2}

Step-by-step explanation:

the other 3 are perfect squares and have rational answers.

\sqrt{1.44} =1.2\\\sqrt{1}= 1\\\sqrt{4} =2

6 0
2 years ago
Read 2 more answers
I need help if you get it right I will mark you as brainlest
musickatia [10]

Answer:

D. 9/DF=18/16.......the answer

3 0
3 years ago
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Hoochie [10]

Answer:

25

Step-by-step explanation:

20^2 + 15^ = c^2

400 + 225 = c^2

625 = c^2

25 = c

3 0
2 years ago
Read 2 more answers
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