35 multiple choice | Numerical analysis homework help

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1. A recent survey of local cell phone retailers showed that of all cell phones sold last month, 64% had a camera, 28% had a music player and 22% had both. Which of the following statements about cell phones sold last month is true?

		Having a camera and having a music player are mutually exclusive events.
		The intersection of having a camera and having a music player is zero.
		Having a camera and having a music player are independent events.
		Having a camera and having a music player are disjoint events.
		Having a camera and having a music player are not mutually exclusive events.

4 points

QUESTION 2

1. The number of male babies in a sample of 10 randomly chosen babies is a:

		continuous random variable
		Poisson random variable
		binary random variable
		binomial random variable

4 points

QUESTION 3

1. Thirty work orders are selected from a filing cabinet containing 500 work order folders by choosing every 15th folder. Which sampling method is this?

		Simple random sample
		Systematic sample
		Stratified sample
		Cluster sample

4 points

QUESTION 4

1. A sample of 250 people resulted in a confidence interval estimate for the proportion of people who believe that the federal government’s proposed tax increase is justified is between 0.14 and 0.20. Based on this information, what was the confidence level used in this estimation?

		Approximately 1.59
		95 percent
		Approximately 79 percent
		Can’t be determined without knowing σ (sigma).

4 points

QUESTION 5

1. A 99% confidence interval estimate can be interpreted to mean that

		if all possible samples are taken and confidence interval estimates are developed, 99% of them would include the true population mean somewhere within their interval.
		we have 99% confidence that we have selected a sample whose interval does include the population mean.
		both of the above.
		none of the above.

4 points

QUESTION 6

1. At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 105 miles per hour (mph) and the standard deviation of the serve speeds was 9 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least eight-ninths of the player’s serves.

		87 mph to 123 mph
		132 mph to 159 mph
		69 mph to 141 mph
		78 mph to 132 mph

4 points

QUESTION 7

1. Chebychev’s Theorem:

		applies to all samples
		applies only to samples from a normal population
		gives a narrower range of predictions than the Empirical Rule
		is based on Sturges’ Rule for data classification

4 points

QUESTION 8

1. A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain’s new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results: X (i.e. Xbar = $50.50) and s₂(i.e. s squared = 400). Assuming the distribution of the amount spent on their first visit is approximately normal, what is the shape of the sampling distribution of the sample mean that will be used to create the desired confidence interval for μ (mew)?

		Approximately normal with a mean of $50.50
		A standard normal distribution
		A t distribution with 15 degrees of freedom
		A t distribution with 14 degrees of freedom

4 points

QUESTION 9

1. As part of an economics class project, students were asked to randomly select 500 New York Stock Exchange (NYSE) stocks from the Wall Street Journal. As part of the project, students were asked to summarize the current prices (also referred to as the closing price of the stock for a particular trading date) of the collected stocks using graphical and numerical techniques. Identify the sample of interest for this study.

		the current price (or closing price) of a NYSE stock
		the entire set of stocks that are traded on the NYSE
		a single stock traded on the NYSE
		the 500 NYSE stocks that current prices were collected from

4 points

QUESTION 10

1. A standardized test has a mean score of 500 points with a standard deviation of 100 points. Five students’ scores are shown below.

Which of the students have scores within two standard deviations of the mean?

		Carlos, Doug
		Adam, Beth
		Adam, Beth, Ella
		Adam, Beth, Carlos, Ella

4 points

QUESTION 11

1. Suppose a sample of n = 50 items is drawn from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with μ = 6 ounces (mew = 6 ounces) and σ = 2.5 ounces (sigma = 2.5 ounces). Which of the following is true about the sampling distribution of the sample mean if a sample of size 15 is selected?

		The mean of the sampling distribution is 6 ounces.
		The standard deviation of the sampling distribution is 2.5 ounces.
		The shape of the sample distribution is approximately normal.
		All of the above are correct.

4 points

QUESTION 12

1. A probability distribution is an equation that

		associates a particular probability of occurrence with each outcome in the sample space.
		measures outcomes and assigns values of X to the simple events.
		assigns a value to the variability in the sample space.
		assigns a value to the center of the sample space.

4 points

QUESTION 13

1. A survey was conducted to determine how people feel about the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below.

What percentage of the respondents rated overall television quality as very good (regarded as ratings of 80 and above)?

		5%
		4%
		20%
		1%

4 points

QUESTION 14

1. A statistics professor wanted to test whether the grades on a statistics test were the same for upper and lower classmen. The professor took a random sample of size 10 from each, conducted a test and found out that the variances were equal. For this situation, the professor should use a t test with independent samples.

True

False

4 points

QUESTION 15

1. At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken. What is the standard error for the sample mean?

		0.029
		0.050
		0.091
		0.120

4 points

QUESTION 16

1. Which display is most likely to reveal association between X and Y?

		Dot Plot
		Scatter Plot
		Histogram
		Pareto Chart

4 points

QUESTION 17

1. During its grand opening week, Stickler’s bicycle shop offers a “wheel of discount savings.” After customers select the items they wish to purchase, they spin the wheel to determine the discount they will receive. The wheel is divided into 12 slices. Six slices are red and award a 10% discount, three slices are white and award a 20% discount, and two slices are blue and award a 40% discount. The remaining slice is gold and awards a 100% discount! The probability that a customer gets at least a 40% discount is

		3/12
		2/12
		.0625
		9/12
		10/12

4 points

QUESTION 18

1. Which model would you use to describe the probability that a call-center operator will make the first sale on the third call, assuming a constant probability of making a sale?

		Binomial
		Poisson
		Hypergeometric
		Geometric

4 points

QUESTION 19

1. The amount spent on textbooks for the fall term was recorded for a sample of five university students – $400, $350, $600, $525, and $450. Calculate the value of the sample standard deviation for the data.

		$98.75
		$99.37
		$250
		$450

4 points

QUESTION 20

1. Suppose the ages of students in Statistics 101 follow a skewed-right distribution with a mean of 23 years and a standard deviation of 3 years. If we randomly sampled 100 students, which of the following statements about the sampling distribution of the sample mean age is incorrect?

		The mean of the sampling distribution is equal to 23 years.
		The standard deviation of the sampling distribution is equal to 3 years.
		The shape of the sampling distribution is approximately normal.
		The standard error of the sampling distribution is equal to 0.3 years.

4 points

QUESTION 21

1. A die is rolled. If it rolls to a 1, 2, or 3 you win $2. If it rolls to a 4, 5, or 6 you lose $1. Find the expected winnings.

		$0.50
		$3.00
		$1.50
		$1.00

4 points

QUESTION 22

1. What type of probability distribution will the consulting firm most likely employ to analyze the insurance claims in the following problem? An insurance company has called a consulting firm to determine if the company has an unusually high number of false insurance claims. It is known that the industry proportion for false claims is 3%. The consulting firm has decided to randomly and independently sample 100 of the company’s insurance claims. They believe the number of these 100 that are false will yield the information the company desires.

		binomial distribution.
		Poisson distribution.
		normal distribution.
		none of the above.

4 points

QUESTION 23

1. If we are testing for the difference between the means of 2 independent populations presuming equal variances with samples of n₁ = 20 (i.e. n1 = 20) and n₂ = 20 (i.e. n2 = 20), the number of degrees of freedom is equal to

		39.
		38.
		19.
		18.

4 points

QUESTION 24

1. The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer’s willingness to pay extra for an extended warranty? Data for 420 consumers who purchased digital cameras and laptop computers from a leading electronics retailer are summarized in the table. The probability that a consumer does not purchase an extended warranty is

Digital Camera		30	42	72
Laptop Computer		145	203	348
Total		175	245	420
	.07
	.42
	.58
	.17
	.83

4 points

QUESTION 25

1. The amount of television viewed by today’s youth is of primary concern to Parents Against Watching Television (PAWT). 300 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watches television. The mean and the standard deviation for their responses were 17 and 3, respectively. PAWT constructed a stem-and-leaf display for the data that showed that the distribution of times was a symmetric, mound-shaped distribution. Give an interval where you believe approximately 95% of the television viewing times fell in the distribution.

		between 8 and 26 hours per week
		less than 14 and more than 20 hours per week
		between 11 and 23 hours per week
		less than 23

4 points

QUESTION 26

1. Consider the following data: 6, 7, 17, 51, 3, 17, 23, and 69. The range and the median are:

		69 and 17.5
		66 and 17.5
		66 and 17
		69 and 17

4 points

QUESTION 27

1. For quality control purposes, a company that manufactures copper sheets routinely takes samples from its production process. Since its product is often used for decorative purposes, one inspection check involves counting the number of imperfections or flaws on sheets that measure 36 sq. ft. Suppose the average number of imperfections per sheet of this size is 3. What is the probability that a sheet of this size has 2 imperfections?

		.2240
		.4232
		.2510
		.4591
		.1365

4 points

QUESTION 28

1. The standard error of the mean

		is never larger than the standard deviation of the population.
		decreases as the sample size increases.
		measures the variability of the mean from sample to sample.
		all of the above.

4 points

QUESTION 29

1. Suppose that incoming calls per hour to a customer service center of a small credit union are uniformly distributed between 0 and 6 calls. The probability that fewer than 3 calls are received per hour is

		3/6
		4/6
		3/7
		4/7
		1/6

4 points

QUESTION 30

1. If the outcomes of a random variable follow a Poisson distribution, then their

		mean equals the standard deviation.
		median equals the standard deviation.
		mean equals the variance.
		median equals the variance.

4 points

QUESTION 31

1. Parking at a university has become a problem. University administrators are interested in determining the average time it takes a student to find a parking spot. An administrator inconspicuously followed 270 students and recorded how long it took each of them to find a parking spot. Identify the variable of interest to the university administration.

		number of students who cannot find a spot
		students who drive cars on campus
		number of empty parking spots
		time to find a parking spot

4 points

QUESTION 32

1. What number is missing from the table?

Grades on Test		Frequency	Relative Frequency
A		6	.24
B		7
C		9	.36
D		2	.08
F		1	.04
	.72
	.70
	.07
	.28

4 points

QUESTION 33

1. The t test for the difference between the means of 2 independent populations assumes that the respective

		sample sizes are equal.
		sample variances are equal.
		populations are approximately normal.
		all of the above.

4 points

QUESTION 34

1. Temperature in degrees Fahrenheit is an example of a(n) __________ variable.

		nominal
		ordinal
		interval
		ratio

4 points

QUESTION 35

1. The amount of television viewed by today’s youth is of primary concern to Parents Against Watching Television (PAWT). 330 parents of elementary school-aged children were asked to estimate the number of hours per week that their child watches television. Identify how the data were collected in this study.

		from a published source
		observationally
		from a designed experiment
		from a survey

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July 1, 2023

86.Leesburg Bags produces backpacks. The costs and prices for the backpacks follow (Assume the same unit costs in all years):

Selling price$23.00 per backpack

Variable costs:

Production$11.00 per backpack

Selling$2.00 per backpack

Fixed costs:

Production$900,000 per year

Selling and administrative$540,000 per year

Leesburg Bags produced 250,000 backpacks for the year and sold 200,000. There was no beginning inventory, and costs throughout the year were stable. What would be the difference in income between variable costing income and full costing income if the company had produced 215,000 backpacks instead of 250,000?

A.$62,791

B.$54,000

C.$46,400

D.$77,400

87.WebFlicks is an online DVD company that produces its own DVD copies of first-run movies that it sells for $8.00 each. The following information is available (Assume the same unit costs in all years):

Variable costs:

Product royalty fees$3.30 per DVD

DVD production$1.20 per DVD

Selling and admin costs$0.80 per DVD

Fixed costs:

Production$128,000 per month

Selling and administration$130,000 per month

During June, 160,000 DVDs were produced and 144,000 were sold. There were 17,000 DVDs in beginning inventory. How much is net income per month under variable costing?

A.$143,600

B.$130,800

C.$130,640

D. None of these answer choices are correct.

88.WebFlicks is an online DVD company that produces its own DVD copies of first-run movies that it sells for $8.00 each. The following information is available (Assume the same unit costs in all years):

Variable costs:

Product royalty fees$3.30 per DVD

DVD production$1.20 per DVD

Selling and admin costs$0.80 per DVD

Fixed Costs:

Production$128,000 per month

Selling and administration$130,000 per month

During June, 160,000 DVDs were produced and 144,000 were sold. There were 17,000 DVDs in beginning inventory. How much is net income per month under full costing?

A.$143,600

B.$130,640

C.$130,800

D. None of these answer choices are correct.

89.WebFlicks is an online DVD company that produces its own DVD copies of first-run movies that it sells for $8.00 each. The following information is available (Assume the same unit costs in all years):

Variable costs:

Product royalty fees$3.30 per DVD

DVD production$1.20 per DVD

Selling and admin costs$0.80 per DVD

Fixed Costs:

Production$128,000 per month

Selling and administration$130,000 per month

During June, 160,000 DVDs were produced and 144,000 were sold. There were 17,000 DVDs in beginning inventory. How much is inventory at the end of the month under variable costing?

A.$72,000

B.$148,500

C.$174,900

D.$84,800

90.WebFlicks is an online DVD company that produces its own DVD copies of first-run movies that it sells for $8.00 each. The following information is available (Assume the same unit costs in all years):

Variable costs:

Product royalty fees$3.30 per DVD

DVD production$1.20 per DVD

Selling and admin costs$0.80 per DVD

Fixed Costs:

Production$128,000 per month

Selling and administration$130,000 per month

During June, 160,000 DVDs were produced and 144,000 were sold. There were 17,000 DVDs in beginning inventory. How much is inventory at the end of the month under full costing?

A.$72,000

B.$148,500

C.$174,900

D.$84,800

91.Aerotrino produces and sells popular t-shirts. Following is information about its t-shirts for 2014:

Selling price$15.00 per t-shirt

Variable costs:

Production (manufacturing costs)$3.00 per t-shirt

Selling & administration$1.00 per t-shirt

Fixed costs:

Production (manufacturing costs)$1,000,000 per year

Selling & administration$2,000,000 per year

During 2014, the company produced 400,000 t-shirts and sold 350,000 of them. Assume that there was no beginning inventory. How much is the net income under variable costing?

A.$975,000

B.$1,400,000

C.$850,000

D.$2,250,000

92.Aerotrino produces and sells popular t-shirts. Following is information about its t-shirts for 2014:

Selling price$15.00 per t-shirt

Variable costs:

Production (manufacturing costs)$3.00 per t-shirt

Selling & administration$1.00 per t-shirt

Fixed costs:

Production (manufacturing costs)$1,000,000 per year

Selling & administration$2,000,000 per year

During 2014, the company produced 400,000 t-shirts and sold 350,000 of them. Assume that there was no beginning inventory. How much is the net income under full costing?

A.$975,000

B.$1,400,000

C.$850,000

D.$2,250,000

93.Aerotrino produces and sells popular t-shirts. Following is information about its t-shirts for 2014:

Selling price$15.00 per t-shirt

Variable costs:

Production (manufacturing costs)$3.00 per t-shirt

Selling & administration$1.00 per t-shirt

Fixed costs:

Production (manufacturing costs)$1,000,000 per year

Selling & administration$2,000,000 per year

During 2014, the company produced 400,000 t-shirts and sold 350,000 of them. Assume that there was no beginning inventory. How much is the inventory under variable costing at December 31, 2014?

A.$150,000

B.$275,000

C.$200,000

D.$325,000

94.Aerotrino produces and sells popular t-shirts. Following is information about its t-shirts for 2014:

Selling price$15.00 per t-shirt

Variable costs:

Production (manufacturing costs)$3.00 per t-shirt

Selling & administration$1.00 per t-shirt

Fixed costs:

Production (manufacturing costs)$1,000,000 per year

Selling & administration$2,000,000 per year

During 2014, the company produced 400,000 t-shirts and sold 350,000 of them. Assume that there was no beginning inventory. How much is the inventory under full costing at December 31, 2014?

A.$150,000

B.$275,000

C.$200,000

D.$325,000

95. Brislin Gifts makes ceramic mugs and has the following amounts for 2014 (Assume the same unit costs in all years):

Selling price$9.00 per mug

Variable production cost$2.50 per mug

Variable selling cost$1.10 per mug

Fixed production cost$100,000 per month

Fixed selling and administrative cost$60,000 per month

Production and sales in units for the first three months of 2014 are as follows:

YearProductionSales

January 50,000 44,000

February 40,000 45,000

March 44,000 46,000

Inventory at January 1, 2014 consisted of 1,000 mugs. How much is net income for January using variable costing?

A.$89,600

B.$77,600

C.$67,480

D. None of these answer choices are correct.

July 1, 2023

71. The following reaction occurs in a lead storage battery:

PbO2(s) + Pb(s) + H2SO4(aq) 2PbSO4(s) + 2H2O(l)

What happens to the sulfuric acid in a lead storage battery when the battery is being discharged?

A)Sulfate ions are consumed and their concentration decreases.

B)Protons are released so the pH drops.

C)The solution gets increasingly more viscous due to an increase in sulfuric acid concentration.

D)Its concentration increases.

E)All of these are correct.

72. The following reaction occurs in a lead storage battery:

PbO2(s) + Pb(s) + H2SO4(aq) 2PbSO4(s) + 2H2O(l)

Which statement is true?

A)The concentration of H2SO4 increases as the battery discharges.

B)Pb is formed at the anode during charging.

C)PbO2 is formed at the anode during charging.

D)The mass of Pb decreases during charging.

E)The mass of PbSO4 remains constant during charging and discharging.

73. Consider the skeletal equation:

Sn2+(aq) + Fe3+(aq) ? Sn4+(aq) + Fe2+(aq)

When balanced, the equation will be:

A)Sn2+(aq) + Fe3+(aq) ? Sn4+(aq) + Fe2+(aq)

B)2Sn2+(aq) + Fe3+(aq) ? Sn4+(aq) + Fe2+(aq)

C)2Sn2+(aq) + Fe3+(aq) ? 2Sn4+(aq) + Fe2+(aq)

D)Sn2+(aq) + 2Fe3+(aq) ? Sn4+(aq) + 2Fe2+(aq)

E)4Sn2+(aq) + Fe3+(aq) ? 2Sn4+(aq) + Fe2+(aq)

74. A voltaic cell is prepared in which copper metal is oxidized to Cu(II), and silver ion is reduced to silver metal. Which of the following represents the correctly balanced equation for this reaction?

A)Cu(s) + Ag+(aq) ? Cu2+(aq) + Ag(s)

B)2Cu(s) + Ag+(aq) ? 2Cu2+(aq) + Ag(s)

C)Cu(s) + 2Ag+(aq) ? Cu2+(aq) + 2Ag(s)

D)3Cu(s) + 2Ag+(aq) ? 3Cu2+(aq) + 2Ag(s)

E)2Cu(s) + 3Ag+(aq) ? 2Cu2+(aq) + 3Ag(s)

75. A voltaic cell is prepared in which copper metal is oxidized to Cu(II), and silver ion is reduced to silver metal. Which of the following represents the equation for the reaction that occurs at the anode?

A)Cu(s) – 2e– ? Cu2+(aq)D)Ag+(aq) + e– ? Ag(s)

B)Cu(s) ? Cu2+(aq) + 2e–E)Ag(s) ? Ag+(aq) + e–

C)2Cu(s) ? 2Cu2+(aq) + e–

76. A voltaic cell is prepared in which aluminum metal is oxidized to Al3+, and nickel(II) is reduced to nickel metal. Which of the following represents the correctly balanced equation for this reaction?

A)Al(s) + Ni2+(aq) ? Al3+(aq) + Ni(s)

B)Al(s) + 2Ni2+(aq) ? Al3+(aq) + 2Ni(s)

C)2Al(s) + 3Ni2+(aq) ? 2Al3+(aq) + 3Ni(s)

D)Al3+(aq) + 2Ni(s) ? Al(s) + 2Ni2+(aq)

E)2Al3+(aq) + 3Ni(s) ? 2Al(s) + 3Ni2+(aq)

77. If the following equation is properly balanced with the smallest whole-number coefficients, what is the coefficient of Bi3+?

Mn2+(aq) + BiO3–(aq) ? MnO4–(aq) + Bi3+(aq)

A) 1 B) 2 C) 3 D) 4 E) 5

78. The following reaction occurs in acid solution. When the equation is properly balanced with the smallest whole-number coefficients, what is the coefficient of MnO4–?

MnO4–(aq) + I–(aq) ? Mn2+(aq) + I2(aq)

A) 1 B) 2 C) 3 D) 4 E) 5

79. A voltaic cell is prepared in which aluminum metal is oxidized to Al3+, and nickel(II) is reduced to nickel metal. Which of the following represents the equation for the reaction that occurs at the anode?

A)Al(s) ? Al3+(aq) + 3e–D)Al3+(aq) + 3e– ? Al(s)

B)Ni2+(aq) + 2e– ? Ni(s)E)2Al3+(aq) + 3e– ? 2Al(s)

C)Ni(s) ? Ni2+(aq) + 2e–

80. Consider the half-reaction Cr3+(aq) ? Cr2O72?(aq). When the equation is balanced in acid solution, the coefficient for water will be__________, and the number of electrons transferred will be __________.

A) 3, 3 B) 6, 6 C) 7, 6 D) 5, 4 E) 3, 6

July 1, 2023

71. The following reaction occurs in a lead storage battery:

PbO2(s) + Pb(s) + H2SO4(aq) 2PbSO4(s) + 2H2O(l)

What happens to the sulfuric acid in a lead storage battery when the battery is being discharged?

A)Sulfate ions are consumed and their concentration decreases.

B)Protons are released so the pH drops.

C)The solution gets increasingly more viscous due to an increase in sulfuric acid concentration.

D)Its concentration increases.

E)All of these are correct.

72. The following reaction occurs in a lead storage battery:

PbO2(s) + Pb(s) + H2SO4(aq) 2PbSO4(s) + 2H2O(l)

Which statement is true?

A)The concentration of H2SO4 increases as the battery discharges.

B)Pb is formed at the anode during charging.

C)PbO2 is formed at the anode during charging.

D)The mass of Pb decreases during charging.

E)The mass of PbSO4 remains constant during charging and discharging.

73. Consider the skeletal equation:

Sn2+(aq) + Fe3+(aq) ? Sn4+(aq) + Fe2+(aq)

When balanced, the equation will be:

A)Sn2+(aq) + Fe3+(aq) ? Sn4+(aq) + Fe2+(aq)

B)2Sn2+(aq) + Fe3+(aq) ? Sn4+(aq) + Fe2+(aq)

C)2Sn2+(aq) + Fe3+(aq) ? 2Sn4+(aq) + Fe2+(aq)

D)Sn2+(aq) + 2Fe3+(aq) ? Sn4+(aq) + 2Fe2+(aq)

E)4Sn2+(aq) + Fe3+(aq) ? 2Sn4+(aq) + Fe2+(aq)

A)Cu(s) + Ag+(aq) ? Cu2+(aq) + Ag(s)

B)2Cu(s) + Ag+(aq) ? 2Cu2+(aq) + Ag(s)

C)Cu(s) + 2Ag+(aq) ? Cu2+(aq) + 2Ag(s)

D)3Cu(s) + 2Ag+(aq) ? 3Cu2+(aq) + 2Ag(s)

E)2Cu(s) + 3Ag+(aq) ? 2Cu2+(aq) + 3Ag(s)

A)Cu(s) – 2e– ? Cu2+(aq)D)Ag+(aq) + e– ? Ag(s)

B)Cu(s) ? Cu2+(aq) + 2e–E)Ag(s) ? Ag+(aq) + e–

C)2Cu(s) ? 2Cu2+(aq) + e–

A)Al(s) + Ni2+(aq) ? Al3+(aq) + Ni(s)

B)Al(s) + 2Ni2+(aq) ? Al3+(aq) + 2Ni(s)

C)2Al(s) + 3Ni2+(aq) ? 2Al3+(aq) + 3Ni(s)

D)Al3+(aq) + 2Ni(s) ? Al(s) + 2Ni2+(aq)

E)2Al3+(aq) + 3Ni(s) ? 2Al(s) + 3Ni2+(aq)

77. If the following equation is properly balanced with the smallest whole-number coefficients, what is the coefficient of Bi3+?

Mn2+(aq) + BiO3–(aq) ? MnO4–(aq) + Bi3+(aq)

A) 1 B) 2 C) 3 D) 4 E) 5

78. The following reaction occurs in acid solution. When the equation is properly balanced with the smallest whole-number coefficients, what is the coefficient of MnO4–?

MnO4–(aq) + I–(aq) ? Mn2+(aq) + I2(aq)

A) 1 B) 2 C) 3 D) 4 E) 5

A)Al(s) ? Al3+(aq) + 3e–D)Al3+(aq) + 3e– ? Al(s)

B)Ni2+(aq) + 2e– ? Ni(s)E)2Al3+(aq) + 3e– ? 2Al(s)

C)Ni(s) ? Ni2+(aq) + 2e–

A) 3, 3 B) 6, 6 C) 7, 6 D) 5, 4 E) 3, 6

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