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DanielleElmas [232]
2 years ago
6

The FDA is testing a new ointment designed to deliver 3.5 micrograms of active ingredient to each square centimeter of skin. Nin

e(9) subjects apply the ointment and then six hours later that amount of drug absorbed by the skin is measured. To determine if there is enough evidence that the mean amount of drug absorbed is different from 3.5 micrograms at the α=0.01 significance level, we would need to compare our test statistic to what critical
Mathematics
1 answer:
lions [1.4K]2 years ago
8 0

Answer:

t(c)  =  3.355

Step-by-step explanation:

We assume a normal distribution, and with sample size n = 9 we should follow a t -student test on both tails since the FDA is interested in determining if the amount of drug absorbed is different from 3.5 micrograms.

Therefore if α  = 0,01    that means that confidence interval is 99 % or 0,99

Finally with   α/2 = 0,005   and 8 degrees of freedom we find in t-student table  t(c)  =  3.355

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I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0
2 years ago
Von buys a bag of 34 Dog treats he gives his puppy 3 treat a day.How many days will the bag of dog treats last?
makkiz [27]

Answer:

11 days with one treat left over. Or 11.3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the median of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?
lisov135 [29]

Answer:

50

Step-by-step explanation:

Add all of the values together, which will equal 600. Divide this number by the total amount of numbers that are there, which will be 12.

600 / 12 = 50

6 0
2 years ago
Read 2 more answers
PLEASE HELP OMG the side lengths of triangle MNO are given: MN=5, NO=4, OM=2.5. the triangle is dilated by a scale factor of k w
elena-14-01-66 [18.8K]

The value of the scale factor k, is 1.5

<h3>Perimeter</h3>

The perimeter of a shape is the sum of the side lengths of the shape

<h3>Dimensions </h3>

The dimensions of the triangle MNO are given as:

MN = 5

NO = 4

OM = 2.5

Calculate the perimeter of the triangle as follows:

MNO=5 + 4 +2.5

MNO=11.5

Divide 17.25 by 11.5 to calculate the scale factor (k)

k = \frac{17.25}{11.5}

k = 1.5

Hence, the scale factor is 1.5

Read more about scale factors at:

brainly.com/question/25657743

7 0
2 years ago
A ranch owner has 18 bales of hay to distribute in 3 cow pastures and 3 horse pastures. He wants each cow pasture to have the nu
Ivahew [28]

First way: 1 bale in each cow pasture and 5 bales in each horse pasture.

Second way: 2 bales in each cow pasture and 4 bales in each horse pasture.

Third way: 3 bales in every pasture.

Fourth way: 4 bales in each cow pasture and 2 bales in each horse pasture.

Fifth way: 5 bales in each cow pasture and 2 bale in each horse pasture.

There are 5 different ways.

7 0
3 years ago
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