Your answer will be:
y = 9x
y = 2.5x
y = 24x
I hope this helps!
a pumpkin farmer collects 20 pumpkins randomly sampled from his pumpkin patch and weighs them. the mean weight of the pumpkins is 26 lb. he wonders whether the weight of his pumpkins follows a normal distribution. which answers are clear signs that the pumpkin weights are not normally distributed?
Outliers or extreme skewness in the distribution of pumpkin weights would be clear signs that they are not normally distributed.
There are several signs that can indicate the pumpkin weights are not normally distributed based on the farmer's sample of 20 pumpkins with a mean weight of 26 lb.
Skewed Distribution: If the distribution of pumpkin weights is noticeably skewed, it suggests a departure from normality. Positive skewness occurs when the tail of the distribution is stretched towards higher values, indicating a higher number of lighter pumpkins.
Negative skewness is the opposite, with a tail stretched towards lower values, suggesting a higher number of heavier pumpkins.
Outliers: The presence of extreme values that deviate significantly from the majority of the data can be a clear sign of non-normality. If there are a few pumpkins with exceptionally high or low weights compared to the rest, it indicates the presence of outliers and a potential departure from a normal distribution.
Bimodal or Multimodal Distribution: If the pumpkin weights exhibit multiple peaks or modes instead of a single bell-shaped curve, it suggests a non-normal distribution. This could indicate the presence of distinct subpopulations of pumpkins with different weight ranges.
Non-linear Patterns: If there is a distinct non-linear pattern or trend in the data, it deviates from a normal distribution. For example, if there is a systematic increase or decrease in weights as the pumpkin size increases, it suggests a departure from normality.
Departure from the 68-95-99.7 Rule: In a normal distribution, approximately 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. If the sample data significantly deviates from these percentages, it indicates a departure from normality.
It is important to note that these signs alone do not definitively prove that the pumpkin weights are not normally distributed. Further statistical tests such as the Shapiro-Wilk test, Anderson-Darling test, or visual inspections of a histogram, Q-Q plot, or kernel density plot can provide more evidence to assess the distributional assumption.
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Flora drew the following graph to answer the question. What was her mistake when she drew her graph? (NO LINKS)
Answer:
Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.
Solve cos theta=- sqrt (3)/2 on [0, 2pi) Write the first solution or lowest on [0, 2pi) . Round to the nearest hundredth .
Answer:
2.62 radians
Step-by-step explanation:
The angle is found from its cosine using the inverse cosine function.
cos(θ) = (-√3)/2
θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians
A line has a slope of - Which ordered pairs could be points on a parallel line? Select two options.
(-8, 8) and (2, 2)
(-5, -1) and (0, 2)
(-3, 6) and (6,-9)
(-2, 1) and (3,-2)
(0, 2) and (5, 5)
The ordered pairs that could be points on a parallel line are:
(-8, 8) and (2, 2)
(-2, 1) and (3, -2)
Which ordered pairs could be points on a parallel line?Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.
We have:
slope of the line is -3/5.
Thus, m = -3/5
Formula for slope between two coordinates is;
m = (y₂ - y₁)/(x₂ - x₁)
A) At (–8, 8) and (2, 2);
m = (2 - 8)/(2 - (-8))
m = -6/10
m = -3/5
B) At (–5, –1) and (0, 2);
m = (2 - (-1))/(0 - (-5))
m = 3/5
C) At (–3, 6) and (6, –9);
m = (-9 - 6)/(6 - (-3))
m = -15/9
m = -5/3
D) At (–2, 1) and (3, –2);
m = (-2 - 1)/(3 - (-2))
m = -3/5
E) At (0, 2) and (5, 5);
m = (5 - 2)/(5 - 0)
m = 3/5
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Stainless steel is a family of metals, which statements are incorrect? (Select any number of correct answers) a. Cr>12% enables a transformation from FCC to BCC b. Ferritic stainless steel has a BCC structure c. Austenitic stainless steel has a FCC structure d. Austenitic stainless steels have high concentrations of chromium and nickel
The correct statement is: c. Austenitic stainless steel has a FCC structure.
The incorrect statements are:
a. Cr>12% enables a transformation from FCC to BCC
b. Ferritic stainless steel has a BCC structure
d. Austenitic stainless steels have high concentrations of chromium and nickel
Explanation:
a. Cr>12% does not enable a transformation from FCC (Face-Centered Cubic) to BCC (Body-Centered Cubic) structure. The presence of chromium (Cr) in stainless steel helps in enhancing its corrosion resistance.
b. Ferritic stainless steel has a Body-Centered Cubic (BCC) structure, not a FCC structure.
c. Austenitic stainless steel has a Face-Centered Cubic (FCC) structure, not a BCC structure.
d. Austenitic stainless steels do have high concentrations of chromium and nickel, which contribute to their corrosion resistance and other desirable properties.
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in a certain card​ game, the probability that a player is dealt a particular hand is . explain what this probability means. if you play this card game 100​ times, will you be dealt this hand exactly ​times? why or why​ not?
A probability of 0.48 means that there is a 48% chance that a player will be dealt a particular hand in the card game.
If you play the card game 100 times, it may not be possible that you will be dealt this particular hand exactly 48 times because theoretical probability differs from experimental probability.
What is probability?The concept of probability deals with the likelihood of an event occurring, but it does not guarantee the occurrence of that event in every individual trial.
While the expected value is that you will be dealt this hand around 48 times out of 100 games, the actual results can differ due to the random nature of the card shuffling process. You could be dealt the hand more or fewer times in any given set of 100 games.
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Complete question:
In a certain card game, the probability that a player is dealt a particular hand is 0.48. Explain what this probability means. If you play this card game 100 times, will you be dealt this hand exactly 48 times? Why or why not?
In a certain card game, the probability of being dealt a particular hand represents the likelihood of receiving that specific hand out of all possible combinations.
The probability of being dealt a particular hand in a card game indicates the chance of receiving that specific hand out of all possible combinations. It is a measure of how likely it is for the player to get that specific combination of cards. The probability is typically expressed as a fraction, decimal, or percentage.
However, when playing the card game 100 times, it is highly unlikely that the player will be dealt the same hand exactly the same number of times. This is because the card shuffling and dealing process in the game is usually random. Each time the cards are shuffled, the order and distribution of the cards change, leading to different hands being dealt. The probability remains the same for each individual game, but the actual outcomes may vary.
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what are the variable terms for 7k-8k?
Answer:
k
Step-by-step explanation:
k is variable term for given expression
60 cookies in each package how many cookies in each package
you said 60 in each pack so 60 will be the answer
I need help with Pythagorean Theorem
Answer:look at picture
Step-by-step explanation:
Answer:
the sum of the angles pythagorean theorem is a^2+b^2=c^2
Also, the angles of a triangle will add up to 180 degrees
this practice is most commonly found in right triangles
Step-by-step explanation:
Select the correct answer. what is the range of this absolute value function? a. -[infinity] < y ≤ 0 b. 0 ≤ y < [infinity] c. -[infinity] < y ≤ 7 d. -[infinity] < y < [infinity]
The range of the assumed equation of the absolute value function is -∞ < y ≤ 7
How to determine the range of the absolute value function?The question is incomplete, so I will provide a general explanation
Assume that the absolute value function is given as:
f(x) = |x + 1| + 7
Set the absolute value to 0
f(x) ≥ 0 + 7
Evaluate
f(x) ≥ 7
This means that the smallest value of the function is 7
Hence, the range of the absolute value function is -∞ < y ≤ 7
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Use the sum of cubes identity to write this polynomial expression in factored form: 8x^3 + 27
(2x + 3) (x^2 - 6x + 9)
there are 24 baseball teams in a league
each team plays two matches against each of the other teams
work out the total number of matches played
Answer: 125
Step-by-step explanation:
The total number of matches played is 552.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The given parameters are as;
Teams = 24
Matches against each other = 2
Therefore, the total number of matches played is;
Total = Teams * (Teams - 1)
This gives;
Total = 24 * (24 - 1)
Evaluate;
Total = 552
Hence, the total number of matches played is 552.
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3) Estimate the quotient
using compatible numbers.
63.52 divided by 7.9=
Answer:
8.04050632911
Step-by-step explanation:
What is error and absolute error?
Error is the difference between the observed value and the true value of a measurement. Absolute error is the absolute value of the difference between the observed value and the true value of a measurement.
Error is an undesirable or unexpected result that occurs when a program, system, or device does not perform as expected. Errors can be caused by hardware or software faults, or by user error. Common errors include syntax errors, runtime errors, and logic errors.
Absolute error is a measure of how far a measured value is from the true or accepted value. It is the difference between the measured value and the accepted value, and is expressed either as a positive or negative number.
For example, if the calculated mass of an object is 10 kilograms, but the true mass is 8 kilograms, then the absolute error is 2 kilograms.
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FIRST CORRECT ANSWER WILL GET BRAINLIEST
What is the y-intercept of the line on the given graph?
A)4
B)-2
C)2
D)-4
Answer:
2
The y intercept is the point at which a line crosses the y axis. In the graph the y axis is crossed at 0, 2 or just 2
Step-by-step explanation:
Is {(-4, 5), (1,-1), (2,-2)} represent a function
Answer:
it is a function
Step-by-step explanation:
Answer:
Since there is one value of y for every value of x in ( − 4, 5 ), ( 1, − 1 ), ( 2, − 2), this relation is a function.
The relation is a function.
Hope this helps (●'◡'●)
Suppose f(x)=2 x-5 and g(x)=|-3 x-1| Find the value. f(1)+g(2)
The value of f(1) + g(2) is 4. The sum is obtained by substituting the values of x into the given functions and evaluating the expressions. The calculation yields a final result of 4.
The value of f(1) + g(2) can be found by substituting the respective values of x into the given functions and evaluating the expressions.
First, let's find the value of f(1):
f(1) = 2(1) - 5
= 2 - 5
= -3
Next, let's find the value of g(2):
g(2) = |-3(2) - 1|
= |-6 - 1|
= |-7|
= 7 (since the absolute value of -7 is 7)
Finally, let's calculate f(1) + g(2):
f(1) + g(2) = -3 + 7
= 4
Therefore, the value of f(1) + g(2) is 4. The first paragraph summarizes the process of evaluating the expressions f(1) and g(2) by substituting the given values of x and performing the necessary calculations. In the second paragraph, we perform the actual calculations and find that the sum of f(1) and g(2) is 4.
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There is a tree house with a wall that is 7 feet high, what is the volume of the tree house?
Answer:
343 feet
Step-by-step explanation:
A patient's temperature went down from 105.85 to 99.1 as a result of taking 5 mg. of a certain drug. What was the rate at which her temperature decreased per milligram?
Answer:
1.35 degrees per mg.
Step-by-step explanation:
The patient's temperature went from 105.85 to 99.1. That is a decrease of 6.75 degrees. You want to find the temperature decrease per milligram, which can be found by dividing the temperature by the number of mg of the drug.
6.75 / 5 = 675 / 500 = 1.35
So, the rate at which her temperature decreased per milligram is 1.35 degrees per mg.
Hope this helps!
Find the ratio of the speed of a cycle 15km per hour to the speed of scooter 30km per hour
Step-by-step explanation:
15:30
Divide by 5
3:6
1:2
Answer:
3:4
Step-by-step explanation:
speed of cycle=15 km pers
speed of scooter=30 km per s
Now,
Ratio of speed= distance travelled ÷time taken
= (15+30)÷60 (1 hour=60 min)
= 45÷60
= 3÷4
= 3:4
:: The answer is 3:4.
What is the surface area of each figure 11 m 7 m 6 m?
Answer:
hi, I'm glad to help! 185
Step-by-step explanation:
11*7=77
11*6=66
6*7=42
77+66+42=185
subtract
(-8x+2)-(-5x=7)
Answer:
Hi! -5/3 :)
Step-by-step explanation:
Hope this helps!
Best of luck! ♥
Which of the following two-dimensional shapes can be rotated to create a cone? Right triangle Square Circle Ellipse.
Refer to the figure below for an example.
Imagine the right triangle acts like a propeller to spin around to carve out the 3D shape of a cone. The axis of rotation is the vertical part of the triangle. In a sense, it's like a revolving door of sorts.
In contrast, a square and rectangle will rotate around to create a cylinder. An ellipse or circle rotates around to form a (squashed) sphere.
Answer:
A. Right triangle
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y= -4x
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPP.
Square KLMN with vertices K(0,2), L(1,8), M(7,7), and N(6, 1): 270 counterclockwise about the orgin
Note: Consider we need to find the vertices of the image.
Given:
Square KLMN with vertices K(0,2), L(1,8), M(7,7), and N(6, 1).
It rotates 270 counterclockwise about the origin.
To find:
The vertices of the image after rotation.
Solution:
If a figure rotates 270 counterclockwise about the origin, then the rule of rotation is defined as
\((x,y)\to (y,-x)\)
Using this rule, we get
\(K(0,2)\to K'(2,0)\)
\(L(1,8)\to L'(8,-1)\)
\(M(7,7)\to M'(7,-7)\)
\(N(6,1)\to N'(1,-6)\)
Therefore, the vertices of the image are K'(2,0), L'(8,-1), M'(7,-7) and N'(1,-6).
Use a calculator to find each value. Round your answers to the nearest thousandth.
sec 2.5
Adding mixed numbers with like denominators worksheets.
To practice adding mixed numbers with like denominators, you can use worksheets that include problems with varying variables.
Adding mixed numbers with like denominators. Since you mentioned worksheets, I'll explain the process step-by-step, and you can apply these steps to any worksheet problems you have.
Step 1: Identify the mixed numbers and their like denominators.
In a given problem, you'll be given mixed numbers (a whole number and a fraction combined) with like denominators (same number in the denominator).
Example: 2 1/4 + 3 3/4 (Both fractions have the denominator 4)
Step 2: Add the whole numbers.
Add the whole numbers of the mixed numbers together.
Example: 2 + 3 = 5
Step 3: Add the fractions with like denominators.
Add the numerators (top numbers) of the fractions and keep the denominators the same.
Example: 1/4 + 3/4 = (1+3)/4 = 4/4
Step 4: Simplify the fraction, if needed.
If the fraction is improper (numerator is equal to or greater than the denominator), simplify it to a mixed number.
Example: 4/4 = 1
Step 5: Combine the whole numbers and simplified fractions.
Add the whole numbers from Step 2 and the simplified fraction from Step 4.
Example: 5 (whole number) + 1 (simplified fraction) = 6
Final Answer: 2 1/4 + 3 3/4 = 6
Now, you can apply these steps to any problem in your adding mixed numbers with like denominators worksheets. Good luck!
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11. Gael wants to build a bike ramp
such that mzB is less than 50°.
His plan is shown below. Will it
work? Explain.
No, the plan will not work because tan B = 8/5; B ≈ 58°
How to use trigonometric ratios?There are three primary trigonometric ratios for a right angle triangle and they are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
To get angle B, we will make use of trigonometric ratios to get:
tan B = 8/5
tan B = 1.6
B = tan⁻¹1.6
B = 58°
From the ramp, we can see that the angle is greater than what Gael wants to build and as such we can say it will not work.
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A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die rolled is a 5?
Answer:
1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
Answer: 1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
The probability that a person in the United States has type B+ blood is 8%.
Four unrelated people in the United States are selected at random.
Complete parts (a) through(d).
(a) Find the probability that all four have type B+ blood.The probability that all four have type B+ blood is?
(Round to six decimal places as needed.)
(b) Find the probability that none of the four have type B+ blood.The probability that none of the four have type B+ blood is?
(Round to three decimal places as needed.)
(c) Find the probability that at least one of the four has type B+ blood.The probability that at least one of the four has type B+ blood is?
(Round to three decimal places as needed.)
(d) Which of the events can be considered unusual? Explain.
(a) The probability that all four people have type B+ blood is 0.0004096.(b) The probability that none of the four people have type B+ blood is 0.598. (c) The probability that at least one of the four people has type B+ blood is 0.402. (d) The event of all four people having type B+ blood can be considered unusual because its probability is very low.
(a) To find the probability that all four people have type B+ blood, we multiply the probabilities of each individual having type B+ blood since the events are independent. Therefore, the probability is (0.08)^4 = 0.0004096.
(b) The probability that none of the four people have type B+ blood is equal to the complement of the probability that at least one of them has type B+ blood. Since the probability of at least one person having type B+ blood is 1 - P(none have type B+ blood), we can calculate it as 1 - (0.92)^4 ≈ 0.598.
(c) The probability that at least one of the four people has type B+ blood is 1 - P(none have type B+ blood) = 1 - 0.598 = 0.402.
(d) The event of all four people having type B+ blood can be considered unusual because its probability is very low (0.0004096). Unusual events are those that deviate significantly from the expected or typical outcomes, and in this case, it is highly unlikely for all four randomly selected individuals to have type B+ blood.
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