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Sidana [21]
3 years ago
10

A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased

by 40%.How many bacteria are there now?
Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0
IM STILL TRYNA GET THIS ONEE TOO
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The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r
jolli1 [7]

Answer:

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)  

Step-by-step explanation:

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=28 represent the sample mean

\mu population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size  

Solution to the problem

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

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

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.064

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

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)    

7 0
3 years ago
NEED HELP ASAP!! FILL IN THE BLANKS!! I'LL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!!!​
amm1812

Answer: (x+8)^2 = 127

Step-by-step explanation:

4 0
3 years ago
Simplify the expression 2x7b
densk [106]

Answer:

14b

Step-by-step explanation:

2 * 7b

2*7 b

14b

3 0
3 years ago
Is bse~ tes? if so, identify the similarity the similarity postulate or theorem that applies
hammer [34]
The triangles are congruent by the SAS congruence theorem. By extension, we can also say they are similar using a closely related theorem. Any time there are congruent triangles, they are automatically similar.

This is why the answer is choice C) Similar - SAS

Note how
SB = ET ... which forms the first "S" in "SAS"
angle ESB = angle SET ... which forms the "A" in "SAS"
SE = SE ... which forms the second "S" in "SAS"
this is why SAS works
8 0
3 years ago
Read 2 more answers
What number would you divide by to calculate the mean of 3, 4, 5, and 6?
serious [3.7K]

Answer:

4

Step-by-step explanation:

Because it is the answer

4 0
3 years ago
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