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Diano4ka-milaya [45]
2 years ago
12

Your medical research team is investigating the standard deviation of the cost of a 30-day-supply of a certain heart medication.

A pharmaceutical company thinks that the standard deviation of the cost is less than $23. You want to support this claim. How would you write the null and alternative hypothesis?
Mathematics
1 answer:
Valentin [98]2 years ago
4 0

Considering the situation described, the hypothesis tested are given as follows:

  • The null hypothesis is H_0: \sigma \geq 23
  • The alternative hypothesis is H_1: \sigma < 23

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

H_0: \sigma \geq 23

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

H_1: \sigma < 23

More can be learned about an hypothesis test at brainly.com/question/26454209

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Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
Please help with the steps as well!!
mariarad [96]

To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.

a = y = 36.25cm

b = x = 20.93cm

a^2 + b^2 = c^2

(36.25)^2 + (20.93)^2 = c^2

1314.0625 + 438.0649 = c^2

√1752.1274 = √c^2

c = 41.8584209 ≈ 41.86

So your final answer is...

The length of the hypotenuse is about 41.86 cm.

4 0
3 years ago
Hot air balloon travels 18 miles in 3 hour. At this rate how many miles will the hot air balloon travel in 3/4 hour?
seropon [69]
You can figure out how many miles per hour it travels by dividing 18/3. This gives us the answer of 6. 3/4 = 0.75 so we can multiply 6 * 0.75 to get 4.5 as our final answer. It will travel 4.5 miles in 3/4 of an hour.
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