Kareem rented a truck for one day. there was a base fee of $19.99 , and there was an additional charge of 83 cents for each mile driven. kareem had to pay $135.36 when he returned the truck. for how many miles did he drive the truck?
Answers
Kareem drove the truck for 150 miles.
As areem rented a truck for one day. there was a base fee of $19.99 , and there was an additional charge of 83 cents for each mile driven we will let the number of miles driven by Kareem be represented by 'x'. The total cost, including the base fee, can be represented as:
Total cost = Base fee + Additional charge per mile * Number of miles driven
$135.36 = $19.99 + $0.83x
Subtracting $19.99 from both sides and then dividing by $0.83, we get:
x = (135.36 - 19.99) / 0.83
x = 150
Therefore, Kareem drove the truck for 150 miles.
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Related Questions
Assume that when adults with smartphones are random y selected 53% use the in meeting the probability that fewer than 5 of them use their smartphones in meetings or classes. s or classes. If 11 adult smartphone users are randomly selected,
find The probability is
(Type an integer or decimal rounded to four decimal places as needed.)
Answers
The probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes is 0.6747
How do we calculate the probability?When adults with smartphones are randomly selected, 53% use them during meetings or classes. You need to find the probability that fewer than five of the 11 selected adults use their smartphones during meetings or classes. Here's how to calculate the probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes:
\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)
Where X represents the number of smartphone users in the selected group who use their phones in meetings or classes. Using the binomial probability formula, you can calculate each of these probabilities separately.
\(P(X = 0) = (11C0)(0.53)^0(1 - 0.53)^11 = 0.0026\\P(X = 1) = (11C1)( 0.53)^1(1 - 0.53)^10 = 0.0247\\P(X = 2) = (11C2)(0.53)^2(1 - 0.53)^9 = 0.1012\\P(X = 3) = (11C3)(0.53) ^3(1 - 0.53)^8 = 0.2346\\P(X = 4) = (11C4)(0.53)^4(1 - 0.53)^7 = 0.3116\\\)
Therefore, the probability that fewer than five of the 11 randomly selected adult smartphone users will use their phones during meetings or classes is:
\(P(X < 5) = 0.0026 + 0.0247 + 0.1012 + 0.2346 + 0.3116 = 0.6747\)
Therefore, the probability is 0.6747.
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A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.
Answers
Answer:
Step-by-step explanation:
Perimeter = P = 4a where a is each side of square
P = 4(353) = 1412
Area = a^2 where a is each side
A = (353)^2 = 124,609
Suppose that the 100 people in society C all know the same 10 facts, while the 10 people in society D specialize, with each person knowing 5 unique facts as well as 5 facts also known by the other 9 members of the society. If the standard of living is roughly equivalent to the average number of social facts known per person, how many times better is the standard of living in society D
Answers
Answer:
29 times
Step-by-step explanation:
Given :
Society C ;
Population = 100
Number of facts known = 10
Average fact known per person = known fact / population = 10 / 100 = 0.1
Society D:
Population = 19
Common fact = 5
Specialized fact = 5 * 10 = 50
Total facts = 55
Average fact known per person = 55 / 19 = 2.8947368 fact per person
Number of times society D is better :
2.8947368 / 0.1 = 28.947 times
Approximately 29 times
The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
Answers
Answer:
\(16 (1 +0.09)^{8}\\\)
Future Amount = 38 (rounded)
Step-by-step explanation:
hope this helps.
what is the probability that a random integer from 91 to 775 is divisible by 14? (all integers in the given range are equally likely to be chosen).
Answers
Answer:
There are 775 - 91 + 1 = 685 integers.
In the given range, the smallest multiple of 14 is 98, and the largest multiple of 14 is 770. ((770-98)/14) + 1 = 49 multiples of 14.
So the probability of choosing a multiple of 14 from this range is 49/685.
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answers
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
3x-4x^2 +6+7x^3 in standard form
Answers
Step-by-step explanation:
7x^3 -4x^2 + 3x + 6
I hope it's helpful
What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box. (the diameter is 24cm)
Answers
The circumference of the circle is 75.36 cm.
Step 1: Given data:Diameter of the circle is 24 cm,
\(\pi = 3.14\)
Step 2: Formula used and calculation:Circumference of the circle is \(2\pi r\).
So, Radius, r = 24/2 = 12 cm.
Now, Putting the value in the above formula, we get
2 × 3.14 ×12 = 3.14 × 24 = 75.36 cm.
Hence, the circumference of the circle is 75.36 cm.
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Do you believe that most people are prepared to engage in intercultural communication? Explain (I need a personal answers 150 words)
Answers
Personal beliefs on whether most people are prepared to engage in intercultural communication vary.
It is difficult to make a general statement about whether most people are prepared to engage in intercultural communication, as individuals' readiness and willingness to engage with other cultures can vary significantly.
Some people may naturally possess an open-minded and empathetic mindset, making them more inclined to embrace and understand diverse cultures.
They may actively seek opportunities to engage in intercultural communication, eager to learn and bridge cultural gaps. On the other hand, some individuals may struggle with biases, stereotypes, or a lack of exposure to different cultures, which could hinder their ability to effectively engage in intercultural communication.
It is important to recognize that cultural competence and readiness for intercultural communication can be developed through education, exposure, and self-reflection.
While progress has been made in promoting cultural understanding and inclusivity, there is still work to be done to ensure that a majority of people are adequately prepared to engage in intercultural communication.
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The probability of a Type II error is represented by ____. alpha beta the Type I error sigma The null hypothesis is rejected when the p-value exceeds the level of significance True False
Answers
The probability of a Type II error is represented by beta. Thus, the correct answer is option B.
Beta represents the probability of failing to reject the null hypothesis when it is false.
On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.
The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.
The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.
Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.
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Help! My teacher never taught me this and gave it to me for what ever reason. Questions 6-11. (Middle school)
Answers
Answer:
6. 12cm
7. 11.2 cm
8. 92 degrees
9. 53 degrees
10. 37.5 cm
11. $ 693.12
Step-by-step explanation:
For questions 6-9 the triangle is congurent which means both their angles will be equal.
For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5
So for Q. 6 we can multiply side PQ by 1.5.
For Q.7 divide CA by 1.5.
For Q. 10 we can do cross multiplication:
5/4 = x/30
= 150= 4x
= 37.5=x
For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)
So the shorter side is 30.4 cm.
Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.
Then to figure out the money we multiply again and we get $693.12.
pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Answers
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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Write the equations of the parallel or perpendicular lines.
Answers
Answer:
ikl;'
Step-by-step explanation:
Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
Answers
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
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Find the inverse function in slope-intercept form (mx+b):
f(x) = -x + 6
Answers
switch the variables
x = -y + 6
x - 6 = -y
-x + 6 = y
The response earned 6 points: 3 points in part (a), no points in part (b), 2 points in part (c), and 1 point in part (d). In part (a) the student uses the initial condition f (−2) with an appropriate definite integral ( ) 2 6 f x dx − − ′ ∫ to find f (− = 6 3. ) Thus, the student earned the first and second points. The student uses f (−2) again with an appropriate definite integral ( ) 5 2 f x dx − ′ ∫ to find f (5 10 2 . ) = − π The student earned the third point. In part (b) the student presents two intervals, [−6, 2) and (2, 5 .) Because f x ′( ) < 0 on (−2, 2 ,) f is decreasing on [−2, 2 .] The student is not eligible to earn any points because of the presence of an interval containing points where f x ′( ) < 0. Thus, the student did not earn any points. In part (c) the student investigates where f x ′( ) = 0 and identifies f ′(−2) and f ′(2 .) The student earned the first point for considering x = 2. The student identifies the absolute minimum value as 7 2. − π The student justifies by evaluating f x( ) at the critical values and endpoints. The student earned the second point. In part (d) the student identifies f ′′(−5) as the derivative of f x ′( ) at x = −5 and finds ( ) 1 5 . 2 f ′′ − =− The student earned the first point. The student states that f ′′(3) does not exist. The student uses two one-sided limits at x = 3. The student states that " f x( ) is not differentiable at x = 3, " which contradicts the given statement in the problem that f is differentiable on the closed interval [−6, 5 .] The student did not earn the second point.
Answers
The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).
The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.
In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.
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Leila, Keith, and Michael served a total of 87 orders Monday at the school cafeteria. Keith served 3 times as many orders as Michael. Leila served 7 more orders than Michael. How many orders did they each serve?
Answers
Leila served 30 orders, Keith served 36 orders, and Michael served 21 orders.
Let's assume the number of orders served by Michael is M. According to the given information, Keith served 3 times as many orders as Michael, so Keith served 3M orders. Leila served 7 more orders than Michael, which means Leila served M + 7 orders.
The total number of orders served by all three individuals is 87. We can set up the equation: M + 3M + (M + 7) = 87.
Combining like terms, we simplify the equation to 5M + 7 = 87.
Subtracting 7 from both sides, we get 5M = 80.
Dividing both sides by 5, we find M = 16.
Therefore, Michael served 16 orders. Keith served 3 times as many, which is 3 * 16 = 48 orders. Leila served 16 + 7 = 23 orders.
In conclusion, Michael served 16 orders, Keith served 48 orders, and Leila served 23 orders.
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2) The school that Imani goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket.
What is the price each of one senior citizen ticket and one student ticket?
Answers
The price of each ticket is given as follows:
Senior: $14.Student: $14.How to obtain the prices?The prices for each type of ticket are obtained via a system of equations, for which the variables are given as follows:
Variable x: price of a senior ticket.Variable y: price of a student ticket.On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252, hence:
12x + 6y = 252
2x + y = 42 (simplifying by 6).
y = 42 - 2x.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket, hence:
6x + y = 98
y = 98 - 6x.
Equaling the two equations, the value of x is obtained as follows:
42 - 2x = 98 - 6x
4x = 56
x = 56/4
x = 14.
Then the value of y is of:
y = 98 - 6(14)
y = 14.
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The area of the triangle below is 8.64 square inches. What is the length of the base?
Answers
Answer: The base is 4.8 sq inches.
Step-by-step explanation: The formula for a triangle is (B x H) x 1/2. Knowing this, we can double 8.64 to nullify the 1/2. This gives us 17.28. 17.28 divided by 3.6 gives us 4.8
Answer:
4.8
Step-by-step explanation:
The area of a triangle is half the base times the height.
\(0.5*b*3.6=8.64 \\ b = \frac{8.64}{0.5*3.6}\)
A flywheel has a radius of 20. 0 cm. What is the speed of a point on the edge of the flywheel if it experiences a centripetal acceleration of 900. 0cm/s2?
Answers
the speed of a point on the edge of the flywheel experiencing a centripetal acceleration of 900.0 cm/s^2 is approximately 134.16 cm/s.
To find the speed of a point on the edge of the flywheel, we can use the formula for centripetal acceleration:
a = (v^2) / r
Where:
a = centripetal acceleration
v = velocity or speed
r = radius of the flywheel
In this case, the centripetal acceleration is given as 900.0 cm/s^2, and the radius is 20.0 cm. We can rearrange the formula to solve for the speed:
v = √(a * r)
Substituting the given values:
v = √(900.0 cm/s^2 * 20.0 cm)
v = √(18000.0 cm^2/s^2)
v ≈ 134.16 cm/s
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A plane is flying at an altitude of 10,000 feet. How far apart are A and B, to the nearest foot? HINT: In order to use trig, make sure you're working with RIGHT
triangles.
Answers
Step-by-step explanation:
draw a vertical line from p to c. there will be 2 right angled triangles pca and PCB.
take tri pca
angle PAC = 49°
tan 49 = pc/ca
1.15 = 10000/ca
ca = 8695.65
take triangle pcb
angle pbc = 25°
tan 25 = pc/bc
0.46 = 10000/bc
bc = 21445.06
AB = 12749.41ft
Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight travel if it
completes 10 revolutions on the end of a 0.88 m thread?
Give your answer correct to one decimal place.
Answers
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
Evaluate the expression z²+ya+
z = 5.
3z
5
when y = 2, x = 3,
Answers
The expression is evaluated to give 36
How to determine the value
Note that algebraic expressions are defined as expressions composed of terms, variables, constants, coefficients and factors.
These expressions are also identified with arithmetic operations, such as;
addition, subtraction, multiplication, division, bracket, parentheses.
From the information given, we have that;
z²+yx+ z
Given that;
z = 5, y = 2, x = 3
Substitute the values, we get;
(5)² + 2(3) + 5
find the square
25 + 6 + 5
Add the values
36
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What are some vocabulary words for slopes and equations in math?
Answers
Answer:
Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.
How do you write 10 more than a number?.
Answers
To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.
To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.
In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.
This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.
Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.
Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.
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An automatic filling machine is used to fill 2-litre bottles of cola. The machine’s output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of 0.01 litres. Output is monitored using means of samples of 5 observations.
Determine the upper and lower control limits that will include roughly 95.5 percent of the sample means.
If the means for 6 samples are 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is the process in control?
Answers
The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
To determine the upper and lower control limits for the sample means, we can use the formula:
Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))
Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))
In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.
For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.
Given:
Mean = 2.0 litres
Standard Deviation = 0.01 litres
Sample size (n) = 5
Using the formula, we can calculate the upper and lower control limits:
UCL = 2.0 + (1.96 * 0.01 / sqrt(5))
LCL = 2.0 - (1.96 * 0.01 / sqrt(5))
Calculating the values:
UCL ≈ 2.0018 litres
LCL ≈ 1.9982 litres
Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997
Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.
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A researcher reports an F-ratio with dfbetween = 2 and dfwithin = 30 for an independent-measures ANOVA.
How many treatment conditions were compared in the experiment?
How many subjects participated in the experiment?
Answers
The number of participants with df between = 2 and df within = 30 is 33.
The researcher reported an F-ratio for an independent-measures ANOVA with df between = 2 and df within = 30.
1. To find the number of treatment conditions compared in the experiment, you can use the formula:
Number of treatment conditions = dfbetween + 1
In this case, it would be:
Number of treatment conditions = 2 + 1 = 3
So, there were 3 treatment conditions compared in the experiment.
2. To find the number of subjects who participated in the experiment, you can use the formula:
Total number of subjects = dfwithin + dfbetween + 1
In this case, it would be:
Total number of subjects = 30 + 2 + 1 = 33
Therefore, 33 subjects participated in the experiment.
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Determine whether the number described is a statistic or a parameter. In a survey of voters, 77% plan to vote for the incumbent. Statistic Parameter
Answers
In a survey of voters, where 77% plan to vote for the incumbent, this number represents a statistic.
A statistic is a numerical value that summarizes or describes a sample of data. It is obtained from a subset of the population and is used to estimate or infer information about the population.
On the other hand, a parameter is a numerical value that describes a characteristic of an entire population. It is typically unknown and is inferred or estimated using statistics.
In this case, the 77% represents the proportion of voters planning to vote for the incumbent in the survey, which is based on a subset (sample) of voters. Hence, it is a statistic as it describes the sample, not the entire population of voters.
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What is the slope of the line passing through the points (3,7) and (1, -3)? Show all your work.
Answers
Answer:
The slope of the line is 5.
Step-by-step explanation:
Formula: m = (y-y1)/(x-x1)
where m is the slope
Substitute the points given.
m = (7-(-3))/(3-1)
m = (7+3)/2
m = 10/2
m = 5
(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
Answers
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
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