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nignag [31]
3 years ago
10

Ann sells bracelets for $4 each and necklaces for $8 each, which inequality shows x, the number of bracelets, and y, the number

of necklaces Ann must sell to make at least $100?
Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
The sum must be at least 100 $
x*4 +y*8>equal 100 
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-12 and 18

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How do you graph the line on a graph
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by starting from the number on the z axis and going up from the y axis
5 0
3 years ago
If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is Wit
KatRina [158]

Answer:

a) 0.5762

b) 0.0214

c) 0.2718

Step-by-step explanation:

It is given that lengths of the bolt thread are normally distributed. So in order to find the required probability we can use the concept of z distribution and z scores.

Part a) Probability that length is within 0.8 SDs of the mean

We have to calculate the probability that the length of a bolt thread is within 0.8 standard deviations of the mean. Recall that a z- score tells us that how many standard deviations away a value is from the mean. So, indirectly we are given the z-scores here.

Within 0.8 SDs of the mean, means from a score of -0.8  to +0.8. i.e. we have to calculate:

P(-0.8 < z < 0.8)

We can find these values from the z table.

P(-0.8 < z < 0.8) = P(z < 0.8) - P(z < -0.8)

= 0.7881 - 0.2119

= 0.5762

Thus, the probability that the thread length of a randomly selected bolt is within 0.8 SDs of its mean value is 0.5762

Part b) Probability that length is farther than 2.3 SDs from the mean

As mentioned in previous part, 2.3 SDs means a z-score of 2.3.

2.3 Standard Deviations farther from the mean, means the probability that z scores is lesser than - 2.3 or greater than 2.3

i.e. we have to calculate:

P(z < -2.3 or z > 2.3)

According to the symmetry rules of z-distribution:

P(z < -2.3 or z > 2.3) = 1 - P(-2.3 < z < 2.3)

We can calculate P(-2.3 < z < 2.3) from the z-table, which comes out to be 0.9786. So,

P(z < -2.3 or z > 2.3) = 1 - 0.9786

= 0.0214

Thus, the probability that a bolt length is 2.3 SDs farther from the mean is 0.0214

Part c) Probability that length is between 1 and 2 SDs from the mean value

Between 1 and 2 SDs from the mean value can occur both above the mean and below the mean.

For above the mean: between 1 and 2 SDs means between the z scores 1 and 2

For below the mean: between 1 and 2 SDs means between the z scores -2 and -1

i.e. we have to find:

P( 1 < z < 2) + P(-2 < z < -1)

According to the symmetry rules of z distribution:

P( 1 < z < 2) + P(-2 < z < -1) = 2P(1 < z < 2)

We can calculate P(1 < z < 2) from the z tables, which comes out to be: 0.1359

So,

P( 1 < z < 2) + P(-2 < z < -1) = 2 x 0.1359

= 0.2718

Thus, the probability that the bolt length is between 1 and 2 SDs from its mean value is 0.2718

4 0
3 years ago
Pls help I can't get it ​
Aleksandr [31]

Answer:

30

Step-by-step explanation:

Solve for the hypotenuse for the bottom triangle (a^2+ b^2=c^2). You should get 40. After solving that you should be able to solve for c in the top triangle which should get you 30.

4 0
2 years ago
Drag the correct description to tell whether the graph represents a function.
Anna007 [38]

Using the function concept, it is found that:

  • The 1st graph is not a function.
  • The 2nd and the 3rd graph are functions.

<h3>What is a function?</h3>
  • In a <em>function</em>, <u>one value of the input can be related to only one value of the output</u>.
  • In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis), that is, there cannot be point that are aligned vertically.

In this problem:

  • On the <em>first </em>graph, there are points that are aligned vertically, for example, when x = -2, y = -2 and y = 2, hence, it is not a function.
  • On the <em>2nd and on the 3rd graph</em>, there are no points aligned vertically, hence, they are functions.

To learn more about the function concept, you can take a look at brainly.com/question/12463448

4 0
2 years ago
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