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ser-zykov [4K]
3 years ago
11

A meteorologist is studying the speed at which thunderstorms travel. A sample of 10 storms are observed. The mean of the sample

was 12.2 MPH and the standard deviation of the sample was 2.4. What is the 95% confidence interval for the true mean speed of thunderstorms?
Mathematics
1 answer:
dezoksy [38]3 years ago
4 0

Answer:

The 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

Step-by-step explanation:

Given information:

Sample size = 10

Sample mean = 12.2 mph

Standard deviation = 2.4

Confidence interval = 95%

At confidence interval 95% then z-score is 1.96.

The 95% confidence interval for the true mean speed of thunderstorms is

CI=\overline{x}\pm z*\frac{s}{\sqrt{n}}

Where, \overline{x} is sample mean, z* is z score at 95% confidence interval, s is standard deviation of sample and n is sample size.

CI=12.2\pm 1.96\frac{2.4}{\sqrt{10}}

CI=12.2\pm 1.487535

CI=12.2\pm 1.488

CI=[12.2-1.488, 12.2+1.488]

CI=[10.712, 13.688]

Therefore the 95% confidence interval for the true mean speed of thunderstorms is [10.712, 13.688].

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Nonamiya [84]

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

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5 0
2 years ago
Katherine v
maks197457 [2]

Answer:

13/102

Step-by-step explanation:

In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.

Probability of drawing a black card = 26/52 = 1/2

Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.

Probability of drawing a heart from this deck of 51  = 13/51

In general, for the probability of event A <u>and then</u> event B, we multiply.

1/2 x 13/51 = 13/102

6 0
3 years ago
5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?
anygoal [31]

Answer:

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Step-by-step explanation:

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3 years ago
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madam [21]

Answer:

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9/x=x-4

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3 0
3 years ago
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faust18 [17]
First divide 93 by 3 to get 25% of the original price: 31. Then multiply it by 4 to get the whole original price, which is $124. Now onto the shoes. 
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7 0
3 years ago
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