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ElenaW [278]
3 years ago
9

40% of the students on a field trip love the museum. If there are 20 students on the field trip, how many love the museum?

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0
If there's a total of 20 students and 40% love the museum. 20 * .40 = 8 students love the museum.
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Four hundred fifty thousand in standard form
lutik1710 [3]

Answer:

From India

4.5×10⁵

standard form is written above

7 0
1 year ago
The realtor and her clients do not know the average home sale price for all of Guelph (500 was actually just a guess). However,
strojnjashka [21]

Answer:

a) The 99% confidence interval would be given by (346.708;453.292)

b) The 99% confidence interval would be given by (338.445;461.555)

Step-by-step explanation:

1) Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=400 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=80 represent the population standard deviation

n=15 represent the sample size  

2) Part a

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

400-2.58\frac{80}{\sqrt{15}}=346.708    

400+2.58\frac{80}{\sqrt{15}}=453.292

So on this case the 99% confidence interval would be given by (346.708;453.292)    

3) Part b

For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

We need to find the degrees of freedom first df=n-1=15-1=14

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that t_{\alpha/2}=2.98

Now we have everything in order to replace into formula (1):

400-2.98\frac{80}{\sqrt{15}}=338.445    

400+2.98\frac{80}{\sqrt{15}}=461.555

So on this case the 99% confidence interval would be given by (338.445;461.555)    

4 0
3 years ago
What is another way to write 4 hundreds?
lyudmila [28]
4 hundreds = 4 100s = 4(100) = 400
400 is another way for writing four hundreds.
Hope this helps!
7 0
3 years ago
Read 2 more answers
PLEASE ANSWER WILL MARK BRAINLIEST TO FIRST ANSWER.
Inga [223]

Answer:

60 I think

Step-by-step explanation:

125 + 115=240

240-180÷60

3 0
3 years ago
Read 2 more answers
Calculate the cost of 8 cans if 2 cans of olive oil cost 24
love history [14]

Answer:

96

Step-by-step explanation:

2 cans/24  = 8 cans/x

24 times 8/2 = 96

5 0
2 years ago
Read 2 more answers
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