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faust18 [17]
3 years ago
14

Furniture store is having a sale where everything is 40% off.Write a function that represents the amount of discount d on an ite

m with a regular price p
p
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

d = .4p

Step-by-step explanation:

Discount = original price * discount rate

We know the discount rate is 40%

original price is p

discount = d

d = p*40%

Changing this to decimal form

d = .4p

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in the unted states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches. If 16
yaroslaw [1]

Answer:

Probability that their mean height is less than 68 inches is 0.0764.

Step-by-step explanation:

We are given that in the united states, the height of men are normally distributed with the mean 69 inches and standard deviation 2.8 inches.

Also, 16 men are randomly selected.

<em>Let </em>\bar X<em> = sample mean height</em>

The z-score probability distribution for sample mean is given by;

              Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean height = 69 inches

            \sigma = population standard deviation = 2.8 inches

            n = sample of men = 16

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the mean height of 16 randomly selected men is less than 68 inches is given by = P(\bar X < 68 inches)

 P(\bar X < 68 inches) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{68-69}{\frac{2.8}{\sqrt{16} } } ) = P(Z < -1.43) = 1 - P(Z \leq 1.43)

                                                           = 1 - 0.9236 = 0.0764

<em>Now, in the z table the P(Z  x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.43 in the z table which has an area of 0.92364.</em>

Therefore, probability that their mean height is less than 68 inches is 0.0764.

3 0
3 years ago
Find the range of the graphed function
Illusion [34]

Answer:

Correct choice is A

Step-by-step explanation:

The range of the function are all possible values which variable y can take.

From the given diagram you can see that the variable x changes from -4 to the 9. So the domain of the function is -4\le x\le 9.

Also the variable y takes its values from -4 to 8. Thus, the range is -4\le y\le 8.

4 0
3 years ago
Read 2 more answers
Can someone please help me with this?
mash [69]

Answer:

see explanation

Step-by-step explanation:

∠c = ∠ a = 47° ( vertical angles )

∠c and ∠b form a straight angle and are supplementary, thus

∠c + ∠b = 180, that is

47 + ∠b = 180 ( subtract 47 from both sides )

∠b = 133°

∠d = ∠b = 133° ( vertical angles )

That is a = c = 47° and b = d = 133°

The sum of the 4 angles = 133° + 47° + 47° + 133° = 360°

360° is the sum of the angles round a point , hence answer is correct

3 0
3 years ago
The meter, the gram, and the liter are all examples of ___ units. This system of measurement was first devised in post-Revolutio
s2008m [1.1K]
I would say metric units. The metric system includes meter, grams and liters. Not 100% sure, but I would go with it
7 0
3 years ago
Read 2 more answers
What’s -4 4/25 as a decimal?
krek1111 [17]

Answer:

-0.64

Step-by-step explanation:

4 0
3 years ago
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