All categories

2 years ago

What is 2.73 divided by 30

Mathematics

2 answers:

Allushta [10]2 years ago

8 0

Answer:

0.091

Step-by-step explanation:

First, let's convert 2.73 into a whole number by multiplying it by 100.

2.73 × 100 = 273.
We also have to multiply 30 by 100.
30 × 100 = 3000

Now, we divide 273 by 3000.

Arturiano [62]2 years ago

5 0

Answer:

2.73 divided by 30 is 0.091

You might be interested in

Write 0.728 as a percent and as a simplified fraction.

Lisa [10]

Answer:

91 /125

Step-by-step explanation:

8 0

3 years ago

Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to pa

Pie

1 hour 10 minutes /////

5 0

3 years ago

At a university, 12% of students smoke. Calculate the expected number of smokers in a random sample of 140 students from this un

Masteriza [31]

Answer:

a) The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

b) No, it is unlikely that smoking habits and waking up early to go to the gym on Saturday are independent.

Step-by-step explanation:

To calculate the expected numbers of smokers in a sample with size n=140 and proportion p=12%, we use the expected value of the binomial distribution:

$E(x)=n\cdot p=140\cdot 0.12=16.8$

The expected number of smokers in a random sample of 140 students from this university is 16.8 smokers.

If we take a sample at the opening of the gym, the sample is not expected to be representative of the population of the students. Most of the students that go to the gym usually have healthy habits, so the proportions of smokers is expected to be lower than the average of the university population.

4 0

3 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

What is the area of 25 pi?

joja [24]

Answer:

The area of a circle is equal to pi times the radius squared so that means the radius of this circle is the square root of. 25!that means the radius is 5

5 0

3 years ago