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mathematics
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A Pathway To Introductory Statistics 1st Edition Jay Lehmann - Solutions
– x < 2Describe the solution set as an inequality, in interval notation, and on a graph.
–x ≤ 1Describe the solution set as an inequality, in interval notation, and on a graph.
–2/3 x ≥ 2Describe the solution set as an inequality, in interval notation, and on a graph.
–5/2 x ≤ 10Describe the solution set as an inequality, in interval notation, and on a graph.
3x – 1 ≥ 2Describe the solution set as an inequality, in interval notation, and on a graph.
4x + 7 < 15Describe the solution set as an inequality, in interval notation, and on a graph.
5 – 3x < - 7Describe the solution set as an inequality, in interval notation, and on a graph.
8 – 2x ≤ 6Describe the solution set as an inequality, in interval notation, and on a graph.
3c – 6 ≤ 5cDescribe the solution set as an inequality, in interval notation, and on a graph.
7w + 4 > 3wDescribe the solution set as an inequality, in interval notation, and on a graph.
5x ≥ x – 12Describe the solution set as an inequality, in interval notation, and on a graph.
4x < 6 – 2xDescribe the solution set as an inequality, in interval notation, and on a graph.
–3.8x + 1.9 > –7.6Describe the solution set as an inequality, in interval notation, and on a graph.
–2.4x + 5.8 ≤ 8.92Describe the solution set as an inequality, in interval notation, and on a graph.
3b + 2 > 7b – 6Describe the solution set as an inequality, in interval notation, and on a graph.
5k – 1 ≤ 2k + 8Describe the solution set as an inequality, in interval notation, and on a graph.
4 – 3x < 9 – 2xDescribe the solution set as an inequality, in interval notation, and on a graph.
8 – x ≥ 2 – 3xDescribe the solution set as an inequality, in interval notation, and on a graph.
2(x + 3) ≤ 8Describe the solution set as an inequality, in interval notation, and on a graph.
5(x – 2) ≥ 15Describe the solution set as an inequality, in interval notation, and on a graph.
–(a – 3) > 4Describe the solution set as an inequality, in interval notation, and on a graph.
–(t + 5) < –2Describe the solution set as an inequality, in interval notation, and on a graph.
2(2x – 1) ≤ 2 (2x + 1)Describe the solution set as an inequality, in interval notation, and on a graph.
4(3x – 5) > 5(2x – 3)Describe the solution set as an inequality, in interval notation, and on a graph.
4(2x – 3) + 1 ≥ 3 (4x – 5) – xDescribe the solution set as an inequality, in interval notation, and on a graph.
– 2 (5x + 3) – 2x < –3 (2x – 4) + 2Describe the solution set as an inequality, in interval notation, and on a graph.
4.3 (1.5 – x) ≥ 13.76Describe the solution set as an inequality, in interval notation, and on a graph.
3x + 5 ≥ 14; 2, 3, 6 Which of the given numbers satisfy the given inequality?
3.1 (2.7 – x) > – 1.55Describe the solution set as an inequality, in interval notation, and on a graph.
1 /2 y + 2/3 ≥ 3/2Describe the solution set as an inequality, in interval notation, and on a graph.
3/4t – 1/2 ≥ 1/ 4Describe the solution set as an inequality, in interval notation, and on a graph.
5/3 – 1/6 x < 1/2Describe the solution set as an inequality, in interval notation, and on a graph.
1 / 4 – 2/3x > 7/12Describe the solution set as an inequality, in interval notation, and on a graph.
– 1 / 2x – 5/6 ≥ 1/3 + 3/2 xDescribe the solution set as an inequality, in interval notation, and on a graph.
– 3/4 x + 5/2 < 7/8 – 5/2 xDescribe the solution set as an inequality, in interval notation, and on a graph.
4c – 5 /6 ≤ 3c + 7 /4Describe the solution set as an inequality, in interval notation, and on a graph.
6p + 2 /8 ≥ 4p –1 /6Describe the solution set as an inequality, in interval notation, and on a graph.
3x + 1 /6 – 5x – 2 / 9 > 2/3Describe the solution set as an inequality, in interval notation, and on a graph.
– 4x – 7 > 1; –3, –2, 0Which of the given numbers satisfy the given inequality?
4x – 7 /15 + 2x + 3 < 2/5Describe the solution set as an inequality, in interval notation, and on a graph.
= 18.5, t = 2.042, s = 3.1, n = 30Substitute the given values for the variables in the compound inequality
= 26.9, t = 2.528, s = 4.9, n = 20Substitute the given values for the variables in the compound inequality
= 87.2, t = 1.676, s = 9.8, n = 50Substitute the given values for the variables in the compound inequality
= 192.3, t = 2.131, s = 24.1, n = 15Substitute the given values for the variables in the compound inequality
= 0.27, z = 1.96, n = 850Substitute the given values for the variables in the compound inequality
= 0.45, z = 1.645, n = 930Substitute the given values for the variables in the compound inequality
= 0.83, z = 2.33, n = 1005Substitute the given values for the variables in the compound inequality
= 0.62, z = 1.96, n = 1375Substitute the given values for the variables in the compound inequality
4 < x + 3 < 8Describe the solution set as an inequality, in interval notation, and on a graph.
2x < x + 2; –4, 2, 3 Which of the given numbers satisfy the given inequality?
–2 < x – 4 < 3Describe the solution set as an inequality, in interval notation, and on a graph.
– 15 ≤ 2x – 5 ≤ 7Describe the solution set as an inequality, in interval notation, and on a graph.
– 5 ≤ 3x + 1 ≤ 13Describe the solution set as an inequality, in interval notation, and on a graph.
– 17 < 3 – 4x ≤ 15Describe the solution set as an inequality, in interval notation, and on a graph.
7 < 5 –2x ≤ 13
1/3 ≤ 4 – 2/3 x < 2
3 / 4 ≤ 1 – 1 / 4 x < 3
The percentages of osteopathic doctors who are women are shown in Table 23 for various years.Let p be the percentage of osteopathic doctors who are women at t years since 1980.a. Construct a scatterplot.b. Graph the model p = 0.89t + 4.92 on the scatterplot. Does it come close to most of the data
The numbers of married-couple households (in millions) and the percentages of households that are married-couple households are shown in Table 24 for various years. Let p be the percentage of households that are married-couple house- holds at t years since 2000.a. Construct a scatterplot.b. Graph
The percentages of Americans who think they will live comfortably when they retire are shown in Table 25 for various years.Let p be the percentage of Americans at t years since 2000 who think they will live comfortably when they retire.a. Construct a scatterplot.b. Describe the four characteristics
x – 9 ≤ 4x; –3, 2, 5 Which of the given numbers satisfy the given inequality?
The teenage birthrate in the United States has declined since 1990 (see Table 26).Let B be the American teenage birthrate (number of births per 1000 women ages 15€“19) at t years since 1990.a. Construct a scatterplot.b. Describe the four characteristics of the association. Compute and interpret
A dollar store is a no-frills retailer that sells many goods for one dollar. The percentages of households in various in- come groups that shop at dollar stores are shown in Table 27.Let p be the percentage of households with an income of d thousand dollars that shop at dollar stores.a. Construct a
The clarity of Lake Tahoe in California is measured by the depth at which a white disk with diameter 10 inches re- mains visible when lowered beneath the water€™s surface. The clarities of Lake Tahoe in the winter and summer are shown in Table 28 for various years.Let w be the clarity of Lake
The percentages of Americans who went to the movies at least once in the past year are shown in Table 29 for various age groups.Let p be the percentage of Americans at age a years who go to the movies.a. Construct a scatterplot.b. Describe the four characteristics of the association. Compute and
In a study of adults who had received radiation to the brain to treat brain cancer when they were children, researchers found that the cancer survivors tended to develop mild cognitive deficits typically seen in older people. The percent- ages of childhood brain cancer survivors who have mild
A student tries to solve 4x 6 -24: 4x < -24 4x > -24 4…….4 x > -6 Describe any errors. Then solve the inequality correctly.
a. Solve x + 1 = -2x + 10.b. Solve x + 16 - 2 x + 10.c. Solve x + 17 - 2x +10.d. Graph the solutions in parts (a), (b), and (c) on the same number line. Use three colors to identify the different solutions. Make observations about the solutions.
X + 2 > 3
a. Is the following statement true? If a < b, then a - c < b - c. Explain. b. Is the following statement true? If a < band c ≠ 0,then a / b < b / c. Explain.
Determine whether 3 is a solution of the linear equation 2 - 5x = -3 (4x 7).
8m – 3 –m = 2 – 4m
8x = – 7 (2x – 3) + x
6 (4x – 1) – 3 (2x + 5) = 2 (5x – 3)
3p –4 /2 = 5p + 2/4 + 7/6
A student tries to solve the equation x - 5 = 2: x – 5 = 2 x – 5 + 5 = 2 x + 0 = 2 x = 2 Describe any errors. Then solve the equation correctly.
Solve -2.5 (3.8x - 1.9) = 83.7. Round the result to two decimal places.
5/6r – 3 / 4 = 1/6 + 7/2r Simplify the expression or solve the equation, as appropriate.
5 / 6 r – 3/4 – 1/6 + 7/2 r Simplify the expression or solve the equation, as appropriate.
In 2011, the mean salary of public school teachers was $56,643, and it increased by about $1199 per year until 2014. Let s be the mean salary (in dollars) at t years since 2011.a. Find an equation of a model.b. Estimate the mean salary in 2014.c. Estimate when the mean salary was $59,041.
The total annual ad spending for the NCAA basketball tournament (known as “March Madness”) was $239.1 million in 1998, and it increased by about $31.2 million per year until 2013. Let f1t2 be the total annual ad spending (in millions of dollars) in the year that is t years since 1998.a. Find an
The percentages of men with high blood pressure are shown in Table 33 for various ages.Let p be the percentage of men at age a years who have high blood pressure.a. Construct a scatterplot.b. Describe the four characteristics of the association. Compute and interpret r as part of your analysis.c.
Let x be the mean (in points) of three test scores, x1, x2, and x3, all in points. a. Find a formula for the mean of the test scores. b. If a student has test scores of 72 and 85, find the score she needs on the third test so that her three-test mean score is 80 points, which is the cutoff for a B.
Substitute the following values for the indicated variables in the formula X2 = ∑(Oi – Ei)2 / Ei, and then solve for X2; O1 = 8, O2 = 15 O3 =12, E1 = 6.5, E2 =17.8, and E3 = 10.7. Round the result to the second decimal place.
a. Solve E = t ∙ s / √n for s. b. Substitute 1.746 for t, 16 for n, and 3.623 for E in the formula that you found in part (a), and then solve for s. Round the result to the first decimal place.
The number of visits to U.S. libraries was 1.59 billion in 2009, and it increased by about 0.05 billion visits per year until 2014 (Source: Institute of Museum and Library Services). Let v be the number of visits (in billions) to U.S. libraries in the year that is t years since 2009.a. Find an
3x – 2y = – 6Determine the slope and the y-intercept. Use the slope and the y-intercept to graph the equation by hand.
–3 (y + 2) = 2x + 9Determine the slope and the y-intercept. Use the slope and the y-intercept to graph the equation by hand.
X – 3 ≥ – 4
– 4x < 8
5w – 3 > 3w – 9
– 3 (2a + 5 ) + 5a ≥ 2(a – 3)
2b – 4 / 3 ≤ 3b – 4 /4
1 ≤ 2x + 5 < 11
Substitute 75.9 for , 1.686 for t, 12.1 for s, and 38 for n in the compound inequality
Violent-crime rates in the United States are shown in Table 34 for various years.Let v be the violent-crime rate (number of violent crimes per 100,000 people) at t years since 2000.a. Construct a scatterplot.b. Graph the model v = -11.97t + 531.71 on the scatter- plot. Does it come close to the
3 (2x – 5) – 2 (7x + 9) = 49
7/8x + 3/10 = 1/4 x – 1 / 2
Solve 8.21 x = 3.9 (4.4x - 2.7). Round your result to two decimal places.
9 (3x + 2) – (4x – 6) = x Simplify the expression or solve the equation, as appropriate.
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