The total amount that the businessman has to pay the bank after two years is P10260
How to determine the amount to pay back at the bank?From the question, we have the following parameters that can be used in our computation:
Principal, P = P9000
Rate, r =7%
Time = 2 years
The amount to pay back is calculated using the following amount equation
A = P + PRT
Substitute the known values in the above equation, so, we have the following representation
A = 9000 + 9000 * 7% * 2
Evaluate the sum of products
A = 10260
Hence, the amount to pay back at the bank is P10260
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A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function =Cx+−0.7x2168x17,557. What is the minimum unit cost? Do not round your answer.
The minimum unit cost is given as 7477
How to solve for the minimum unit costWe have a = 0.7
b = - 168
c = 17557
We have to find the vertex for the minimum value
-b / 2a
where we would have
-(-168) /2* 0.7
= 168 / 1.4
= 120
We have to put this value in the original function
x stands for the machines
c(120) = 0.7x² - 168x + 17,557
= 0.7(120)² - 168 * 120 + 17,557
= 10080 - 20160 + 17557
= 7477
The minimum unit cost from the calculation that has been done above is given as 7477
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What are rational numbers but not natural numbers?; Which set of numbers are rational numbers but not integers whole numbers or natural numbers?; Does the set of rational numbers contain the set of natural numbers?; What is a rational number that is not a real number?
The distinction between them is that an integer is a negative number without a decimal point.
What is integers?All whole numbers and negative numbers are considered integers. This means if we include negative numbers together with whole numbers, we form a set of integers.
Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers. In this article, let's learn more about integers, their definition, and their characteristics.
According to our question-
The group of integers that are neither whole nor a natural number are:
As previously noted, the third set of integers lacks a decimal point;
However, the difference between them is that; a negative number without a decimal point is referred to as an integer
From the provided set: only fit into the description of an integer, because
It does not have a decimal point
And that is unfavorable.
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an amusement park sold 374 discount tickets and 306 full price tickets . What percentage of the tickets sold were discount tickets
Answer:55%
Step-by-step explanation:So, first find the total number of tickets sold 374+306=680. Now, divide the number of discount tickets by the total number and multiply the result by 100% to express the result as a percentage. Percentage of discount tickets=(374/680)100%=55%. So, 55% percent of the tickets sold at the amusement park were discounted.
if trap is an isosceles trapezoid, what is the value of x?
The value of X is 22.
What is value?Value is regard that something is held to deserve, the important worth or usefullness of something.
The calculation is as follows:
In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.
So,
6x + 2x + 4 = 180
8x + 4 = 180
8x = 176
x = 22
Therefore we can conclude that The value of X is 22.
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Which statement makes an accurate comparison of the motions for objects C and D?
Derivatives are used to determine that the following is the best statement:
The acceleration of object C is greater than the acceleration of object D.
When you divide the change in velocity by the change in time, you get the acceleration, which is: a=Δv/Δt
In this issue:
Both object C and object T experience an identical shift in time.The more rapid change in velocity for object C causes it to accelerate more quickly.hence the right answer is:
The acceleration of object C is greater than the acceleration of object D.
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Answer:
Object C had an acceleration that is greater than the acceleration for D
Step-by-step explanation:
Albert has a credit card with an APR of 20.7% and the following daily balances for this billing period: Days 1-3: $50 Days 4-10: $100 Days 11-25: $175 Days 26-30: $225 1. What is Albert’s daily rate? Round to the nearest ten thousandth.
Albert daily rate is 3.79%
How to determine Albert daily rate?We know that rate is the quantity or amount or the degree of a quantity measured with another quantity.
Albert's credit card APT = 20.7%
Daily balances are
Days 1-3 = (20.7*50)/100 = 10.35
Days 4-10 = (20.7*100)/100 =20.70
Days 11-25 = (20.7*175)/100 = 36.225
Days 26-30 = (20.7*225)/100 =46.575
Number of days in the month = 30 days
Total balance = $113.80
Daily rate = [tex]\frac{Total amount }{number of days}[/tex]
daily rate = [tex]\frac{113.80}{30}[/tex]
Dividing the figures we have 3.79
Therefore the daily rate is 3.79%
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A truck was purchased for $188000 and it was estimated to have a $32000 salvage value at the end of its useful life. Monthly depreciation expense of $2600 was recorded using the straight-line method. The annual depreciation rate is a.16,60% b.6.67% c.20.00% d.1.67%.
Answer: 20%
Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200
Annual depreciation rate = Annual depreciation /Depreciable costs
= $31,200 / ($188,000 - $32,000)
= 20%
(i) The Government has imported large quantities of sugar as per trade agreement with other countries.(ii) The prices of sugar in the domestic market have fallen sharply in the recent months.A. Statement I is the cause and statement II is its effectB. Statement II is the cause and statement I is its effectC. Both the statements I and II are independent causesD. Both the statements I and II are effects of independent causesE. Both the statements I and II are effects of some common cause
The correct option is: A
Statement I is the cause and statement II is the effects.
Since the Government has imported large quantities of sugar as per trade agreement with other countries, the prices of sugar in the domestic market have fallen sharply in the recent months.
The reason behind this statement is:
An increase in supply always leads to a decrease in price.
Supply : Supply is a fundamental economic concept that describes the total amount of a particular good or service available to consumers. Supply can refer to the quantity available at a particular price or the quantity available across the price range displayed on the chart. It is closely related to the demand for goods or services at a particular price. All else being equal, when prices rise, producer supply increases as all firms try to maximize their profits.
Increase in Supply:
If the demand does not change, there is an inverse relationship between the supply and price of goods and services. When the supply of goods and services increases at the same demand, prices tend to fall resulting in lower equilibrium prices and higher equilibrium quantities of goods and services. When the supply of goods and services decreases for the same demand, prices tend to rise towards higher equilibrium prices and smaller quantities of goods and services.
Since the supply of sugar increases as government has over imported, the price of sugar decreases in domestic market.
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Which of the following is true about an isosceles trapezoid?
The diagonals are congruent and the median is parallel to the bases in isosceles trapezoid .
What is an isosceles trapezoid?
An isosceles trapezoid is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.
In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.
The diagonals are congruent because if the diagonals are congruent the at least to of its legs (probably the vertical ones) are congruent. and the median is parallel to the bases in isosceles trapezoid because parallelism indicates that heights (vertical legs) are accurately congruent .
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A study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition. In this study, N = 20
a. 20
b. 10
c. 30
d. 60
In this study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) is at N = 20.
With respect to
n [tex]\leq[/tex] 0.05 N
Given:
If n = 10
10/0.05 [tex]\leq[/tex] N
n = 10
=> 2 Treatments
=> N = 20
This is the study of the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition.
Thus, one-way ANOVA, when Fx = 1
One-way analysis of variance (ANOVA) is used to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups. This guide provides a brief introduction to one-way ANOVA, including test assumptions and when to use this test.
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To evaluate forecasting performance of a model or compare relative performance of two
models, examine
a. contingency forecasts
b. conditional forecasts
c. ex ante forecasts
d. ex post forecasts
e. all of these
Therefore, the answer to this question is option (C) ex ante forecasts
What is forecasting performance?To face the challenge of improving operational performance while increasing production efficiency, performance forecasting is a crucial service to help decision-making in the idea, design, and operational phases of an asset.
Here,
As to evaluate forecasting performance of a model or compare relative performance of two models,
can be examined on the basis of ex ante forecasts
The term "ex-ante forecast" refers to a forecast that only takes into account the data (i.e., the value of economic variables) that is available at the time of the actual forecast and not the value of some variables that will be available later on.
Therefore, the answer to this question is option (C) ex ante forecasts
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A quadrilateral is shown in the diagram.
Which expression represents the perimeter of the figure in the diagram?
(A) 10 a+2
(B) 20 a-2
(c) 16 a+12
(D) 15 a-7
Step-by-step explanation:
F males + weua yvy did / How does Landman’s new eclectic phase differ from Blondel’s behaviouralist phase?
Need help answer please.
By putting the values the solution to the given Algebraic Equation is 9
What is Algebraic Equation?
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Solution:
[tex]c^{2} - a + 2a / b[/tex]
a = -3, b = 2, c = 3
Putting the values
3*3 - (-3) + 2(-3) / 2
We will use BODMAS
3*3 + 3 - 6 / 2
3*3 + 3 - 3
9 + 3 - 3
12 - 3
9
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Suppose the probability of success on each of 6 independent trials of an experiment is 0.2. (Round your answers to four decimal places.) (a) What is the probability of 4 successes? (b) What is the probability of at least 1 success?
a) the probability of 4 success = 0.00629
b)the probability of at least 1 success = 1.5726
In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.
If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.
given that
the probability of success on each of 6 independent trials of an experiment is 0.2.
a) the probability of 4 success
P(x=4) = 6[tex]C_{4}[/tex][tex](0.2)^{4}[/tex][tex](0.8)^{6}[/tex]
= 15×0.0016×0.2621
= 0.00629
b)the probability of at least 1 success
p(x≥1) = 1 - p(x<1)
= 1 - 6[tex]C_{0}[/tex][tex](0.6)^{0}[/tex][tex](0.8)^{6}[/tex]
= 1.5726
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A group of Tibetan monks created a sand mandala at an art museum. The mandala was in the
shape of a circle with a radius of 1.5 ft.
Answer:
7.065 ft
Step-by-step explanation:
1. apply the formula for a circle
A = πr²
2. substitute 1.5 for r
A = π * 1.5²
3. find the area
A= 3.14 * 2.25
A = 7.065 ft
for each of the three plots, identify the strength of the relationship (e.g. weak, moderate, or strong) in the data and whether fitting a linear model would be reasonable.
These following answers are correct
We are given residual plots
In given(a) plot there is weak relationship between scatter points
we see curved relationship in this residual plot therefore model is unreasonable .
Note - This model is reasonable when this plot should look approximately normal and scatterplot of residuals should show random
scatter. In these plots we see weak relationship and line as model is unreasonable
2)We are given residual plot.
Given 2nd (c) plot there is strong relationship between scatter points we see positive straigh line relationship in this plot therefore model is resonable.
Also these model look approximately normal land scatterplot of residuals show random scatter.
In these plot we see strong relationship and linear model is reasonable
Therefore, these statements are correct.
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Help me pls pls pls plspl splspls
Find the slope of the line that passes through (5, 9) and (3, -5). Write your answer in simplest form.
Therefore the slope of the line passes through (5, 9) and (3, -5) comes out to be 7.
What is slope?By computing the ratio of the vertical to horizontal distance (rise over run) between two points, the slope—a numerical value that defines how steep a line is—is often calculated.
Here,
The slope of line that passes through (5, 9) and (3, -5)
Slope= gradient between the two points
Slope= (y2-y1)/(x2-x1)
Where y2= -5
Y1= 9
X2= 3
X1= 5
=> (-5-9)/(3-5)
=> -14/-2
=> 7
Therefore the slope of the line passes through (5, 9) and (3, -5) comes out to be 7.
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A banquet hall charges $1500 to rent the hall and $85 per guest that attends.
Write an algebraic expression that represents the cost, C, of holding a party in this banquet hall given the number of guests, n.
The algebraic equation representing cost can be given as C= 85n+1500.
What is an equation in one variable and power one?
The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers and x is a variable. This equation has only one solution which can be found by separating the constant and variable terms in the equation.
We are given that A banquet hall charges $1500 to rent the hall and $85 per guest that attends.
Let the number of guests be n
Hence, The equation can be given as
C = 85n+1500
Where C is the cost, n is the number of guests attending.
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select the function that represents the simple interest formula
The function that represents the simple interest formula is A(n)=P+(n-1)i*P, where n is a positive integer. (Option D)
Simple interest refers to the method of calculating the amount of interest charged on a sum at a given rate and for a given period of time. It is given by the formula:
SI = Pin
Where SI is the interest amount, P is the principal amount, i is the interest rate, and n is the number of period.
So, for n-1 years, the simple interest is:
SI = P(n-1)*i
The total amount charged is given by
A(n) = P + SI
A(n) = P + (n-1)i*P
Note: The question is incomplete. The complete question probably is: Select the function that represents the simple interest formula. A. A(n)=(n-1)(P*i)^n, where n is any real number. B. A(n)=n+(P-1)i*P, where n is a positive integer. C. A(n)=P(1+i)^n-1, where n is any real number. D. A(n)=P+(n-1)i*P, where n is a positive integer
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what is a proportional relationship between x and y; proportional relationship calculator; proportional relationship formula; what is a proportional relationship example; proportional relationships 7th grade; is y=x/2 a proportional relationship; proportional relationship example problems
The proportional equation has a general form. The proportional relation is:
y = k/x
The letters y and x are variables that can vary, and the letter k is the constant of proportionality. A constant of proportionality is a constant ratio between the y and x variables. The constant of proportionality can be found by calculating y/x.
A proportional relationship is a relationship between two variables in which as one variable changes, increases, or decreases, the other variable changes at a constant rate. A constant ratio is considered a constant ratio between two variables. Proportional relationships can be identified by proportional equations, graphs, or tables. The proportionality equations discussed in this lesson have the general form: The graph is displayed as a straight line. The table is pairs of numbers with a constant ratio between the pairs.
A linear relationship is written as: y = mx + b, where m is the slope and b is the y-intercept.A direct proportional relation is written as y = k/x. where k is the constant of proportionality. A direct proportional relationship is a linear relationship where k is the slope and the y-intercept is zero.Therefore, only linear relationships with zero y-intercept are directly proportional.
For example:
If 1 hat is $20, 2 hats are $40, 3 hats are $60, and so on. This is a direct share. If you triple the number of hats, the total amount will triple.
For 1 hut and $30 fee, 2 hut and $50 fee, 3 hut and $70 fee. This is a linear relationship, with each additional hat ordered increases the price by $20. However, due to a one-time processing fee of $10, the total price of 3 hats will not be 3 times the total price of 1 hat.
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A line passes through the point (2, 3) and is parallel to 2y = 5 – 3x.
Write the equation of the line in slope-intercept form in the space below.
The equation of the line that passes through (2, 3) and is parallel to 2y = 5 - 3x is: y = -3/2x + 6.
What is the Line of Parallel Lines?Given that the line that is parallel to 2y = 5 - 3x passes through the point (2, 3), it means both lines will have the same slope (m).
Step 1: Rewrite the 2y = 5 - 3x in slope-intercept form and determine the slope.
2y/2 = 5/2 - 3x/2
y = -3/2 + 5/2
The slope (m) is -3/2. The slope of the line that is parallel to 2y = 5 - 3x is also -3/2.
Step 2: Substitute m = -3/2 and (x, y) = (2, 3) into y = mx + b to find the value of the y-intercept (b):
3 = -3/2(2) + b
3 = -3 + b
3 + 3 = b
b = 6
Step 3: Write the equation of the parallel line by substituting m = -3/2 and b = 6.
y = -3/2x + 6
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which of the following statement(s) is(are) a characteristic(s) of the normal distribution? it is symmetric. it has a bell shape. the values of the mean, median, and mode are equal.
Answer:
All of the three are correct characteristics.
Step-by-step explanation:
In a normal distribution, the following attributes are observed:
From the image, you can see symmetry and a bell-shaped distribution.
As you can see from the center-most point in the image, the mean, median, and mode are equal.
Therefore, all three characteristics are correct in a normal distribution.
help meeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeee
The diameter of a quarter is about 1 in.
You trace around the edge of the quarter on a sheet of paper.
What is the area of the circle on the paper?
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
the year-end price and production of grains for 2015 and 2018 are listed. 2015 price 2015 production 2018 price 2018 production grain /bushel (1,000 mt) /bushel (1,000 mt) oats 2.4878 1,298 2.5712 815 wheat 5.0936 26,117 4.9757 51,287 corn 3.7829 345,506 3.7043 366,287 barley 5.0836 4,750 4.9757 3,333 click here for the excel data file using 2015 as the base period, find the value index for grains produced in 2018. (round your answer to 3 decimal places.)
The value index for grains produced in 2018 is 1.101
the year-end price and production of grains for 2015 and 2018 are listed
Grain price(2015) production(2015) price(2018) production (2018)
Oats 2.4878 1298 2.5712 814
Wheat 5.0936 26117 4.9757 51287
Corn 3.7829 345506 3.7043 366287
Barley 5.0836 4750 4.9757 3333
The value index can be calculated by using the formula
V = ∑P₁Q₁/P₀Q₀
V = ((2.5712 x 815) + (4.9757 x 51287) + (3.7043 x 366287) + (4.9757 x 3333))/ ((2.4878 x 1298) + (5.0936 x 26117) + (3.7829 x 345506) + (5.0836 x 4750))
V = (2095.5 + 255188.72 + 1356836.93 + 16584)/(16584 + 133029 + 1307014 + 24147.1)
V = 1630704.22/1480774.01
V = 1.101
Therefore, using 2015 as the base period, the value index for grains produced in 2018 is 1.101
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Each person in a random sample of adults was asked how many DVD, he or she wwned. Summary Statistics are given below Variable DVDs N 117 Mean 129.4 Median 50.0 TIMean 76.5 SE Mean StDev 3236 Variable DVDs Minimum 00 Maximum 3000.0 Q1 30.0 03 950 Which of the following statements is true? (A) Seventy-five percent of the adults in the sample own more than 95 DVDs. (B) Fifty percent of the adults in the sample own between 0 and 129.4 DVDs (C) The distribution of the number of DVDs owned appears to be approximately symmetric (D) The interquartile range of the number of DVDs owned is 65. (E) The distribution of the number of DVDs owned contains outliers on both the low side and the high side.
Hence, the option D "The interquartile range of the number of DVDs owned is 65" is correct.
In the given question, we have to in each person in a random sample of adults was asked how many DVD, he or she owned.
Summary Statistics are given below
Variable N Mean Median TiMean St Dev St Mean
DVDs 117 129.4 50.0 76.5 3236 29.2
Variable Minimum Maximum Q1 Q3
DVDs 00 3000 30.0 95.0
We have to which of the following statements is true?
(A) Seventy-five percent of the adults in the sample own more than 95 DVDs.
(B) Fifty percent of the adults in the sample own between 0 and 129.4 DVDs
(C) The distribution of the number of DVDs owned appears to be approximately symmetric
(D) The interquartile range of the number of DVDs owned is 65.
(E) The distribution of the number of DVDs owned contains outliers on both the low side and the high side.
Option (A) is incorrect because 95 is third quartile value and there is only 25% values above third quartile. So, statement is incorrect.
Option (B) is incorrect because 0 is minimum value and 129.4 is mean value. Percent between mean and minimum is not always fixed, so we cannot say that 50% of values are between 0 and 129.4. So, statement is incorrect.
Option (C) is incorrect because median and mean must be equal for symmetric curve, but these are not equal. So, it is not a symmetric curve.
Option (D) is correct because
IQR (Interquartile range)
IQR = Q3 - Q1
IQR = 95 - 30
IQR = 65.
So, option D is correct answer.
Option (E) is incorrect because
lower outlier limit = Q1-1.5*IQR
lower outlier limit = 30 - 1.5*65
lower outlier limit = -67.5
upper outlier limit = Q3 + 1.5*IQR
upper outlier limit = 95 + 1.5*65
upper outlier limit = 192.5
So, there is outliers only on upper side because maximum is 3000>192.5, but there is not value below 0.
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What is the slope of 2y=6x+24
Find the exact value of sec 30^0 - sin 45^0 + sin 90^0
The exact value of sec 30°- sin 45° + sin 90° is 1.45.
What is the trigonometric ratio?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
sec 30°- sin 45° + sin 90°
we have to find the exact value of the given expression,
sec 30° = 2/√3
sin 45° = 1/√2
sin 90° = 1
Put all values in the given expression, and we get
sec 30°- sin 45° + sin 90° = 2/√3 - 1/√2 + 1
sec 30°- sin 45° + sin 90° = 1.15 - 0.70 + 1
sec 30°- sin 45° + sin 90° = 1.45
Hence, the exact value of sec 30°- sin 45° + sin 90° is 1.45.
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A motorist claims that the South Boro Police issue an average of 60 speeding tickets per day. These data show the number of speeding tickets issued each day for a randomly selected period of 30 days. Assume sigma = 13.42. Is there enough evidence to reject the motorists claim at alpha = 0.05 ? Use either the P-value Method or the Traditional Method. 72 45 36 68 69 71 57 60 83 26 60 72 58 87 48 59 60 56 64 68 42 57 57 58 63 49 73 75 42 63
According to a driver, the South Boro Police issue 60 speeding penalties on average each day. These numbers display the daily average number of speeding fines issued over a randomly chosen 30-day period. At alpha = 0.05, there is not enough data to disprove the motorists' assertion.
Traditional Method:
H0: μ = 60
H1: μ ≠ 60
n = 30
Sample mean = 58.9
Standard Deviation = 13.42
t-statistic = -1.85
Number of Degrees of Freedom = 30 - 1 = 29
α = 0.05
Critical t-value = ±2.045
Since -1.85 does not lie in the rejection region, we fail to reject the null hypothesis.
Therefore, there is not enough evidence to reject the motorists claim at alpha = 0.05.
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