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Effectus [21]
1 year ago
8

Mr. Adkins teaches a Current Events course and is known for making his final exam very thorough. He thinks that with the technol

ogy present today,
his students should be able to stay current with all possible news. The only way to ensure yourself a good grade is to dedicate many hours reading
newspapers, watching 24 hour news outlets, and scanning the internet, and even that may not give you the desired test score. Adkins' students
kept track of the hours that they studied the week previous to the test. Here is a breakdown of the hours that they studied and the score they
received on the test.

Mathematics
1 answer:
umka2103 [35]1 year ago
3 0

Answer:

Part 1:

Make a scatterplot that represents this data. You may use a program such as Excel, or make the scatterplot by hand and scan it.

Part 2:

Does this data have a positive correlation, negative correlation, or no correlation?

Part 3:

Without the use of technology, find the equation of the line of best fit for the data. Tell which points that you used and show the steps you used to get the equation. Refer to the first 4 steps on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.

Part 4:

Use the equation found in part 3 to predict the scores for two people who studied for 15 hours and 9 hours. Refer to the last step on page 2 of the lesson titled "Linear Regression - Line of Best Fit" to use as a guide.

Compile the results from parts 1 through 4 and put them in a Word document. Submit the document to your teacher.

Step-by-step explanation: help

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aleksley [76]

Answer:

a. -1.60377

b. 0.25451

c. 0.344

d. Option b) 78th

Step-by-step explanation:

The number of pieces in a regular bag of Skittles is approximately normally distributed with a mean of 38.4 and a standard deviation of 2.12.

a)What is the z-score value of a randomly selected bag of Skittles that has 35 Skittles? a) 1.62 b) -1.62 c) 3.40 d) -3.40 e)1.303.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

z = 35 - 38.4/2.12

= -1.60377

Option b) -1.62 is correct

b) What is the probability that a randomly selected bag of Skittles has at least 37 Skittles? a) .152 b) .247 c) .253 d).747e).7534. .

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (37 - 38.4)/2.12

= -0.66038

P-value from Z-Table:

P(x<37) = 0.25451

The probability that a randomly selected bag of Skittles has at least 37 Skittles is 0.25451

Option c) .253 is.correct

c) What is the probability that a randomly selected bag of Skittles has between 39 and 42 Skittles? a) .112 b) .232 c) .344 d).457 e).6125.

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

For 39 Skittles

z = (39 - 38.4)/2.12

= 0.28302

Probability value from Z-Table:

P(x = 39) = 0.61142

For 42 Skittles

z = (42 - 38.4)/2.12

= 1.69811

Probability value from Z-Table:

P(x = 42) = 0.95526

The probability that a randomly selected bag of Skittles has between 39 and 42 Skittles is:

P(x = 42) - P(x = 39

0.95526 - 0.61142

0.34384

= 0.344

Option c is.correct

d) What is the percentile rank of a randomly selected bag of Skittles that has 40 Skittles in it? a)82nd b) 78th c) 75th d)25th e)22nd

z = (x-μ)/σ

Mean of 38.4 and a standard deviation of 2.12.

z = (40 - 38.4)/2.12

= 0.75472

P-value from Z-Table:

P(x = 40) = 0.77479

Converting to percentage = 0.77479× 100

= 77. 479%

≈ 77.5

Percentile rank = 78th

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2 years ago
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
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From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

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2 years ago
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On a test, leo is asked to completely factor the polynomial 3x3 – 3x 5x2 – 5. he uses double grouping to get (x2 – 1)(3x 5). has
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No, Leo's answer is not a product of prime polynomials because x2 – 1 can be factored. This is a difference of squares. He should continue factoring to get

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leva [86]

Answer:

x = 4/5

Step-by-step explanation:

The x-intercept looks like (x, 0); the coordinate 0 indicates that the point lies on the x-axis.  If we start with 4/5x + 1/3 y= 1 and let y = 0, we will get an equation for the x-intercept:

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Then 4/5x = 1, and (5/4)(4/5)x = (1)(4/5).

Thus, x = 4/5, and the x-intercept is (4/5, 0).

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2 years ago
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