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Artemon [7]
3 years ago
9

According to a study by de Anna students, the height for Asian adult males is normally distributed with an average of 66 inches

and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X=height of the individual.
a. X~__(—,—)
b. Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph and write the probability statement.
c. The middle 40% of heights fall between what two values? Sketch the graph and write the probability statement.
Mathematics
1 answer:
Maslowich3 years ago
4 0
A. X ~ N(66, 6.25)

b.z_{1} =\frac{65-66}{2.5}=-0.4
z_{2} =\frac{69-66}{2.5}=1.2
Using a standard normal probability table to find probability values for the z-scores, we get:
P(65 < X < 69) = 0.1554 + 0.3849 = 0.5403

c. z= 0.524 and -0.524
0.524=\frac{X-66}{2.5}
1.31 = X - 66
X = 67.31
When z = -0.524, X = 64.69.
P(64.69 < X < 67.31) = 0.4

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What is the unit rate $1.29 for 15oz to nearest tenth
Nina [5.8K]

Answer:

The unit price of an item is the cost for each unit.

The unit price may be calculated for several reasons.

It will allow an easy comparison of the cost of the same quantity of items that come in different sizes.

For example, Company A sells peaches in a can. Their can holds 16 oz of peaches at a price of $1.60. Company B also sells peaches in a can, but their can holds 10 oz of peaches at a price of $1.10. At first glance, Company B looks like they might have cheaper peaches because of the lower overall price, but when you calculate the unit price, you get a more accurate way to compare.

For Company A, $1.60 ÷ 16oz = $0.10 per ounce.

For Company B, $1.10 ÷ 10oz = $0.11 per ounce.

The peaches are measured with ounces as the unit, so now that we have unit prices, we can definitely tell that Company A is the better deal, if you like peaches!

Unit price can also be helpful to find the cost of a single item when many items are purchased together. This may be required if the items are going to be divided up and resold. It could also be useful if several people will pay together with each person paying their fair share of the cost based on how many items they receive.

Step-by-step explanation:

5 0
3 years ago
1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle m
LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

6 0
3 years ago
What is the domain of ƒ(x) if ƒ(x) = 1 x – 4?
Alina [70]
The domain would negative infinity to positive infinity . Domain would be the smallest through the largest possibly value of X. If you also need the range it’s ( -4,infinity]
3 0
3 years ago
3) The total cost is a function of how many pounds of candy that I buy.
Ray Of Light [21]

Total cost               independent variable

Pounds of candy    dependent variable

Step-by-step explanation:

A variable is a condition that is liable to change. Most experimental hypothesis use variables to draw up suitable statements to test.

  • An independent variable is that variable that does not rely on another variable. It induces the change or variation in another variable. In the statement above, the total cost is the independent variable.
  • The other variable which is the effect resulting from the  variation of the independent variable is the dependent variable. Here it is the number of pounds of the candy that changes when total cost varies.

Learn more:

Experiment brainly.com/question/1621519

#learnwithBrainly

8 0
3 years ago
What is the gfc of 32 and 45?<br><br> Help me fast I’m giving out 30 points.
lisov135 [29]

Answer:

1

Step-by-step explanation:

1 can be the only thing. 2,3,4,5,6,7,8,9 don't go in 45 and 32  

32/2= 16

45/2= gives a decimal  

45/9= 5

32/9= gives us a decimal.  

only 1 can go into both

so answer is 1

7 0
3 years ago
Read 2 more answers
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