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Akimi4 [234]
3 years ago
14

Angie is reading a book that has 284 pages. She already read some of it last week. She plans to read 32 pages tommorow. By then,

she will be 1/4 of the way through the book. How many pages did Angie read last week? Define the variable, write an equation and solve to find the number of pages she read last week.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
She already read 39 pages
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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
Which one of the following numbers are irrational ?
liq [111]

Answer: B and E are irrational numbers

5 0
3 years ago
A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is
Hunter-Best [27]

A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is $9.25, and tickets cost $28.25 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.​

___________________________________________

Please, give me some minutes to take over your question

________________________

They have no more than $320 to spend on parking and admission

320 ≥ 9.25 + 28.25*p

9.25 + 28.25*p ≤ 320

320- 9.25 ≥ 28.25*p

310.75/28.25 ≥ p

p ≤ 11

__________________________

Answer

The number of people who can go to the amusement park can be a maximum of 11 people (less than or equal to 11).

8 0
1 year ago
For Mothers Day, Jim bought 3 hydrangea plants. For Father's Day, he bought two ties. If a tie costs $5 more than a plant and he
den301095 [7]

$16.95 plant

$21.95 tie

6 0
3 years ago
The measure of each interior angle of a regular polygon is 157.5 ∘ . How many sides does the polygon have?
uranmaximum [27]

180(n-2)=157.5n

180N-360=157.5n

180N-157.5n=360

22.5N=360

N=360/22.5

N=16

4 0
3 years ago
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