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TiliK225 [7]
3 years ago
10

What is the domain of the function y=2 x-5? O x>-5 O x>2 O x>5 O x>10

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0
That’s a good one Because what is the domain of the function Y equals 2X
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A normally distributed population has mean 57,800 and standard deviation 750. Find the probability that a single randomly select
Stels [109]

Answer:

(a) Probability that a single randomly selected element X of the population is between 57,000 and 58,000 = 0.46411

(b) Probability that the mean of a sample of size 100 drawn from this population is between 57,000 and 58,000 = 0.99621

Step-by-step explanation:

We are given that a normally distributed population has mean 57,800 and standard deviation 75, i.e.; \mu = 57,800  and  \sigma = 750.

Let X = randomly selected element of the population

The z probability is given by;

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

(a) So, P(57,000 <= X <= 58,000) = P(X <= 58,000) - P(X < 57,000)

P(X <= 58,000) = P( \frac{X-\mu}{\sigma} <= \frac{58000-57800}{750} ) = P(Z <= 0.27) = 0.60642

P(X < 57000) = P( \frac{X-\mu}{\sigma} < \frac{57000-57800}{750} ) = P(Z < -1.07) = 1 - P(Z <= 1.07)

                                                          = 1 - 0.85769 = 0.14231

Therefore, P(31 < X < 40) = 0.60642 - 0.14231 = 0.46411 .

(b) Now, we are given sample of size, n = 100

So, Mean of X, X bar = 57,800 same as before

But standard deviation of X, s = \frac{\sigma}{\sqrt{n} } = \frac{750}{\sqrt{100} } = 75

The z probability is given by;

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

Now, probability that the mean of a sample of size 100 drawn from this population is between 57,000 and 58,000 = P(57,000 < X bar < 58,000)

P(57,000 <= X bar <= 58,000) = P(X bar <= 58,000) - P(X bar < 57,000)

P(X bar <= 58,000) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{58000-57800}{\frac{750}{\sqrt{100} } } ) = P(Z <= 2.67) = 0.99621

P(X < 57000) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{57000-57800}{\frac{750}{\sqrt{100} } } ) = P(Z < -10.67) = P(Z > 10.67)

This probability is that much small that it is very close to 0

Therefore, P(57,000 < X bar < 58,000) = 0.99621 - 0 = 0.99621 .

7 0
3 years ago
What is the exact distance between points a(-2, 7) and b(6,-5)
shutvik [7]

Answer:

14.4222

Step-by-step explanation:

Distance between two points = √(x₂ – x₁)² + (y₂ – y₁)²

Distance between two points = √(6 – -2)² + (-5 – 7)²

√(6 – -2)² + (-5 – 7)²

√8² + (-12)²

√64 + 144

√208

14.4222

I hope this helps

4 0
3 years ago
Read 2 more answers
Where would you insert parentheses to make the statement true?
otez555 [7]
No you had it right, it is around the 18 / 3 and the 5 + 1
6 0
3 years ago
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Carla is shopping for Storage Bags. At the grocery store, Brand A Storage Bags are priced $4.59 for 40 count, or Brand B Storage
vichka [17]

Answer:

Brand A

Step-by-step explanation:

Comment

The question is  one of finding out what the unit cost is.

Brand A: $4.59 has a count of 40

Brand B: $3.99 has a count of 30

Brand A

unit = 4.59 / 40 = 0.115

<em>Rounded: 0.12</em>

Brand B

unit = 3.99 / 30 = 0.133

<em>rounded: 0.13</em>

Brand A even with proper rounding is the better buy

8 0
1 year ago
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Parallel lines are preserved in which of the following types of transformations?​
dedylja [7]

Answer:

The answer should D) I, II, and III

5 0
3 years ago
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