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Lerok [7]
3 years ago
15

Veterinary researchers at a major university veterinary hospital calculated a 99% confidence interval for the average age of hor

ses admitted for laminitis, a foot disease that leaves the horse severely lame, as 6.3 to 7.4 years. Based on this information we conclude that a. 99% of all horses admitted for laminitis are between 6.3 and 7.4 years old. b. we can be 100% sure that the average age of horses admitted with laminitis is between 6.3 and 7.4 years. c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old. d. All of the answers are correct.
Mathematics
1 answer:
mestny [16]3 years ago
8 0

Answer:

c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.

Step-by-step explanation:

Given that veterinary researchers at a major university veterinary hospital calculated a 99% confidence interval for the average age of horses admitted for laminitis, a foot disease that leaves the horse severely lame, as 6.3 to 7.4 years.

i.e. if X is the age of horses admitted for laminitis then the sample mean i.e. x bar follows a distribution with 99% confidence interval as

(6.3,7.4)

The interpretation of 99% confidence interval is the for sample of large size drawn at random from population we can be 99% confident that the sample mean will fall within this interval.

So the correct option is

c. we are 99% confident that the true mean age of horses with laminitis is between 6.3 and 7.4 years old.

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umka2103 [35]

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6 0
2 years ago
Which method would be best (quickest) for solving the system below:<br> 3x - 4y = -2<br> y = 2x + 1
taurus [48]
To solve with Elimination:

Write the equations under one another, like this:

2x - y = -1
+ 3x + 4y = 26

Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.

If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!

4( 2x - y = -1)
+ 3x + 4y = 26

Be certain to Distribute across the entire first equation, so multiply all three terms by 4.

8x - 4y = -4
+ 3x + 4y = 26

Now add straight down (vertically). The y term will be eliminated.

11x = 22

Divide both sides of the equation by 11.

x = 2

Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.

3x + 4y = 26

3(2) + 4y = 26

6 + 4y = 26

Subtract 6 from both sides of the equation.

4y = 20

Divide both sides of the equation by 4.

y = 5

That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).
8 0
2 years ago
The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a rate of 2%. What will the population be
Luden [163]

Answer:

Let P(t) = population t years after 2010

           = 45230e0.02t

Population in 2030 = P(20)

                           = 45230e0.4≈ 6747

3 0
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What is the numeral that is 100,000 more than 7,264,987?
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3 0
3 years ago
((Please help asap! Giving brainliest))
Ludmilka [50]

Answer:

b. y = −0.5x + 5.5

Step-by-step explanation:

Well first we need to find the slope of line CD.

To do that we'll use the following formula,

\frac{y^2-y^1}{x^2-x^1}

We'll use the points (1,1) and (3,5)

So y2 is 5 y1 is 1 so 5-1 = 4

3-1 = 2

<u>Slope = 2x</u>

If the slope of line CD is 2x we can cross out choices C and D.

Two lines that are perpendicular to each other have reciprocal slopes,

meaning is the slope of line CD is 2 then its perpendicular lines slope should be -.5.

If the perpendicular line goes through point (-1,6), the y intercept would be, 5.5.

Look at the image below ↓

<em>Thus,</em>

<em>the answer is option b. y = −0.5x + 5.5.</em>

<em>Hope this helps :)</em>

8 0
3 years ago
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