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svet-max [94.6K]
3 years ago
9

I really need help who can help me?

Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
Yes
Y varies directly with x, it is a direct relationship between the two.
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Suppose twenty-two communities have an average of = 123.6 reported cases of larceny per year. assume that σ is known to be 36.8
Delvig [45]
We are given the following data:

Average = m = 123.6
Population standard deviation = σ= psd = 36.8
Sample Size = n = 22

We are to find the confidence intervals for 90%, 95% and 98% confidence level.

Since the population standard deviation is known, and sample size is not too small, we can use standard normal distribution to find the confidence intervals.

Part 1) 90% Confidence Interval
z value for 90% confidence interval = 1.645

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-1.645* \frac{36.8}{ \sqrt{22}}=110.69

Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+1.645* \frac{36.8}{ \sqrt{22}}=136.51

Thus the 90% confidence interval will be (110.69, 136.51)

Part 2) 95% Confidence Interval
z value for 95% confidence interval = 1.96

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-1.96* \frac{36.8}{ \sqrt{22}}=108.22

Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+1.96* \frac{36.8}{ \sqrt{22}}=138.98

Thus the 95% confidence interval will be (108.22, 138.98)

Part 3) 98% Confidence Interval
z value for 98% confidence interval = 2.327

Lower end of confidence interval = m-z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Lower end of confidence interval=123.6-2.327* \frac{36.8}{ \sqrt{22}}=105.34
Upper end of confidence interval = m+z *\frac{psd}{ \sqrt{n} }
Using the values, we get:
Upper end of confidence interval=123.6+2.327* \frac{36.8}{ \sqrt{22}}=141.86

Thus the 98% confidence interval will be (105.34, 141.86)


Part 4) Comparison of Confidence Intervals
The 90% confidence interval is: (110.69, 136.51)
The 95% confidence interval is: (108.22, 138.98)
The 98% confidence interval is: (105.34, 141.86)

As the level of confidence is increasing, the width of confidence interval is also increasing. So we can conclude that increasing the confidence level increases the width of confidence intervals.
3 0
3 years ago
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates
I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

4 0
2 years ago
This is a very good question that the brainly ppl cant delete, WHYYYYYYY?!
Arturiano [62]

Answer:

1000

Step-by-step explanation:

I search it it cam in a calculator

8 0
3 years ago
Read 2 more answers
In triangle UVW, the measure of angle W=90°, the measure of angle U=15°, and VW=81 feet, Find the length of WU to the nearest te
Hatshy [7]

Answer:

302.3

Step-by-step explanation:

4 0
3 years ago
Brainly the owner of a hat store buys a hat for 5.50 he uses a markup rate up 105% what is the sale price of the hat
nirvana33 [79]

11.275 is the sale price of the hat

<u>Step-by-step explanation:</u>

Brainly the owner of a hat store buys a hat for 5.50 and he uses a mark-up rate is 105%. Need to find out what is the sale price of the hat.

Here, given data, cost price of hat = 5.5. Let the selling price of hat be x and find the data as asked in question,

                \text {Markup rate}=\frac{S . P .-C . P .}{S . P .} \times 100

                105=\frac{x-5.5}{5.5} \times 100

                \frac{105 \times 5.5}{100}=x-5.5

                \frac{577.5}{100}=x-5.5

               5.775 + 5.5 = x

Where,

S.P - sale price

C.P - cost price

Therefore, x = 11.275 is the sale price of the hat.

7 0
3 years ago
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