Answer:
b 17/18
Step-by-step explanation:
Solve the one's in bracket then later solve everything together
a comparison of the scores of 13 randomly selected musicians on a melody identification test compared with 14 randomly selected non-musicians
This difference in performance can be attributed to factors such as better pitch recognition, understanding of musical patterns, and familiarity with various melodies among musicians. Based on the comparison of the scores of 13 randomly selected or probability musicians on a melody identification test compared with 14 randomly selected non-musicians, it is possible to identify any differences in performance between the two groups.
This comparison may involve analyzing the mean scores, standard deviations, and other statistical measures to determine if there is a significant difference between the two groups. It is important to note that this comparison is only valid if the selection of musicians and non-musicians is truly random and representative of the larger population of musicians and non-musicians. Additionally, other factors such as age, education level, and musical training may also impact the results of the melody identification test and should be taken into account when interpreting the data.
In this scenario, 13 musicians and 14 non-musicians were randomly selected to participate.
The comparison of their scores will likely reveal that musicians tend to score higher on the melody identification test compared to non-musicians, due to their enhanced musical training and experience. This difference in performance can be attributed to factors such as better pitch recognition, understanding of musical patterns, and familiarity with various melodies among musicians.
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If Mike runs 3/5 of a mile in 1/15 of an hour, how many miles would he walk in a full hour?
Answer:
9 miles
Step-by-step explanation:
The answer is 9 miles because if you divide 0.6 mile by 4 minutes, you will have an answer of 9 miles an hour, as 0.6x15=9. In a full hour, Mike would walk 9 miles.
6.
The cost of 5. 5 pounds of apples is $40. 81
What is the constant of proportionality that relates
the cost in dollars, y
to the number of pounds of apples, X?
A) 5. 5
B) 5. 94
C) 6. 37
D) 7. 42
F)8. 16
G) Not listed
Answer:
D 7.42
Step-by-step explanation:
y = k x
40.81 = k ( 5.5)
k = 40.81/5.5 =
A map of a rectangle-shaped park has a length of 3 inches and a width of 8 inches. The map uses a scale of 1 inch for every 40 miles. What is the area of the actual park?
Find the value of x. (2x +4)° 2x-9)°
Answer: x=3
Step-by-step explanation: 2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
The value of x for the given triangle is 37°.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
The sum of all interior angles of a triangle is 180°.
So,
x + 2x +4 + 2x-9 = 180°
5x - 5 = 180°
x = 37°
Hence "The value of x for the given triangle is 37°".
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Given question is missing an image attached below;
Before Christopher Columbus crossed the ocean, he measured the heights of the men on his three ships and found that they were normally distributed with a mean of 69.60 in. and a standard deviation of 3.20 in. What is the probability that a member of his crew had a height less than 66.27 in.? (The answer has another connection with Christopher Columbus!)
The probability that a member of his crew had a height less than 66.27 inches is 0.150 or 15.0%.
To find the probability that a member of Christopher Columbus's crew had a height less than 66.27 inches, we can use the standard normal distribution.
First, we need to standardize the value 66.27 inches using the z-score formula:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
In this case, x = 66.27 inches, μ = 69.60 inches, and σ = 3.20 inches.
Calculating the z-score:
z = (66.27 - 69.60) / 3.20
= -1.04
Next, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score.
The probability that a member of Christopher Columbus's crew had a height less than 66.27 inches can be found by looking up the z-score -1.04 in the standard normal distribution table or using a calculator, which gives a value of approximately 0.150.
Therefore, the probability that a member of his crew had a height less than 66.27 inches is 0.150 or 15.0%.
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instantaneous velocity can be positive, negative, or zero.a. trueb. false
True. Instantaneous velocity is the rate of change of displacement at a specific instant in time and can be positive, negative, or zero.
Calculating instantaneous velocity involves dividing the displacement change by the time change. A car's instantaneous velocity, for instance, would be 5/3 metres per second if it travelled 5 metres in 3 seconds.The rate of change of displacement at a particular moment in time is known as the instantaneous velocity. It is the speed in an instant at a particular location, and it can be positive, negative, or zero. The change in displacement (delta x) is divided by the change in time to determine instantaneous velocity. A car's instantaneous velocity, for instance, would be 5/3 meters per second if it travelled 5 meters in 3 seconds.
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Question 6(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Approximate 7+√40 to the nearest hundredth.
Answer:
13.32
Step-by-step explanation:
7 + 2 \(\sqrt{10}\)
= 13.32456
Rounded to nearest hundredth = 13.32
extra lett shsbss s gs gs sg ss gss s a as sa an s sababsg sbs sg sbasba ssb assbs sb sbbshs s sjbjsabs poits
1+1
Answer:
1+1=2
Step-by-step explanation:
easy lol
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time. Are the events, departing on time and arriving on time, independent?
Complete Question
90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.
• You are meeting a flight that departed on time. What is the probability that it will arrive on time?
• You have met a flight, and it arrived on time. What is the probability that it departed on time?
• Are the events, departing on time and arriving on time, independent?
Answer:
1st Question
\(P(X_1) = 0.833\)
2nd Question
\(P(X_2) = 0.938\)
3rd Question
The probabilities are not independent
Step-by-step explanation:
From the question we are told that
The probability of flight that depart on time is P(DT) = 0.9
The probability of flights that arrive on time is \(P(AT) = 0.8\)
The probability of flight that depart on time and arrive on time is \(P(DT\ |\ AT) = 0.75\)
In the first question the flight is departed on time so the probability that it will arrive on time is
\(P(X_1) = \frac{P(DT\ | \ AT)}{DT}\)
substituting values
\(P(X_1) = \frac{0.75}{0.9}\)
\(P(X_1) = 0.833\)
In the second question the flight arrived on time, so the probability that it departed on time is mathematically evaluated as follows
\(P(X_2) = \frac{P(DT\ | \ AT)}{AT}\)
substituting values
\(P(X_2) = \frac{0.75}{0.8}\)
\(P(X_2) = 0.938\)
Looking at the given and calculated values we see that the probability of depart on time and arrive is not equal to the probability of depart on time,
i.e 0.75 = 0.8
the probability of depart on time and arrive, and the probability of depart on time are not independent
find the standard deviations for the commercial buildings total assessed land value and total assessed parcel value, and the residential buildings total assessed land value and total assessed parcel value. which has the smallest standard deviation? select the correct answer below: commercial total assessed land value residential total assessed land value residential total assessed parcel value commercial total assessed parcel value
The residential buildings' total assessed land value has the smallest standard deviation.
To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.
Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.
In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.
Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.
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pls help I’ll give BRAINLIEST
A conditional statement is shown.
"If two angles of a triangle are congruent, then it is an isosceles triangle."
Which figure represents a counterexample to this conditional statement?
A. Acute Triangle
B. Obtuse Triangle
C. Equilateral Triangle
D. Scalene Triangle
Answer:
Step-by-step explanation:
B.
The figure that represents a counterexample to the given conditional statement is option D, a Scalene Triangle.
Given that a conditional statement,
"If two angles of a triangle are congruent, then it is an isosceles triangle."
We need to determine the counterexample to this conditional statement,
A counterexample is an example that disproves a statement. In this case, if we can find a triangle where two angles are congruent but the triangle is not isosceles, it would serve as a counterexample to the given conditional statement.
A scalene triangle is a triangle where all three sides and angles are different.
If we consider a scalene triangle where two angles are congruent, it will violate the given conditional statement because it is not an isosceles triangle.
Therefore, a scalene triangle is the correct choice for a counterexample.
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Richard and Teo have a combined age of 44. Richard is 11 years older than twice Teo's age. How old are Richard and Teo?
The age of Richard is 33 years and age of Teo is 11 years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Richard and Teo have a combined age of 44.
And, Richard is 11 years older than twice Teo's age.
Let Teo's age = x
Then, The age of Richard = 2x + 11
Here, Richard and Teo have a combined age of 44.
Hence, We get;
⇒ x + 2x + 11 = 44
⇒ 3x + 11 = 44
⇒ 3x = 44 - 11
⇒ 3x = 33
⇒ x = 11
Thus, Teo's age = x
= 11 years
And, The age of Richard = 2x + 11
= 2×11 + 11
= 33 years
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After a survey of 80 redwood trees in a national park, the average height is found to be 402 ft. with a standard deviation of 18 ft. what would be the margin of error for the mean at a
90% confidence level?
o (397, 407)
o (400, 404)
o (399, 405)
o (398, 406)
The margin of error for mean at 90% confidence level is (399,405).
What is meant by margin of error or confidence interval?
A margin of error gives the idea of about how much the survey results are likely to represent the opinions of the entire population.
Given,
Mean = 402 ft
Standard deviation σ = 18ft
Sample size n = 80
Confidence level = 90%
z- factor \(z^{*}\) for 90% = 1.645
Margin of error can be calculated in the following way
= mean ± \(z^{*}\)(σ/\(\sqrt{n}\))
= 402 ± 1.645 ( 18 / √80 )
= 405,399
Therefore the margin of error for mean at 90% confidence level is (399,405).
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the perimeter of a parallelogram must be no less than 40 feet. the length of the rectangle is 6 feet. what are the possible measurements of the width?
The width of the parallelogram can be any value greater than or equal to 14 feet.
What is parallelogram ?
A parallelogram is a four-sided polygon with opposite sides that are parallel. It has opposite angles that are equal and opposite sides that are equal in length. A special cases of parallelograms are rectangles, which have four right angles, and squares, which have four right angles and all sides are equal in length.
P = 2l + 2w >= 40
where P is the perimeter, l is the length and w is the width.
Substituting the given value for the length, we get ,
2(6) + 2w >= 40
Simplifying and solving for w ,
12 + 2w >= 40
2w >= 28
w >= 14
Therefore, the width of the parallelogram can be any value greater than or equal to 14 feet.
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2x + 3y = 15
x + y = 6
Answer:
y=3
x=3
Step-by-step explanation:
2x +3y=15
2x-2y=-12
y=3
x=3
Consider "Since some shoes are sneakers, some non-sneakers are non-shoes." This inference, drawn by contraposition, is:
A) Valid
B) Not valid
C) Valid by limitation
The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”
We know that all sneakers are shoes, but all shoes are not sneakers. Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”
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determine the point on the graph of the unit circle that corresponds to −2π. then findcos−2π andsin−2π, and state which functions are undefined for
Both cosine and sine functions are defined for all angles, so none of the functions are undefined for -2π.
When we consider the unit circle, angles are measured in radians. The angle -2π represents a full revolution around the unit circle in the clockwise direction. In other words, it is equivalent to an angle of 0 radians or 360 degrees.
Since the point (-1, 0) corresponds to an angle of 0 radians on the unit circle, it also corresponds to an angle of -2π radians. Therefore, the point on the unit circle that corresponds to -2π is (-1, 0).
Now let's find cos(-2π) and sin(-2π):
cos(-2π) = cos(0) = 1
sin(-2π) = sin(0) = 0
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◄) What is the value of p? P 49° 29°
Answer:
P = 78°
Step-by-step explanation:
Hope this helps! Pls give brainliest!
A rectangle has an area of 4x2-9 and one side of the rectangle has a length of (2x-3). Find an expression that represents the missing side of the rectangle. A rectangle = lw.
Answer:
We know that the area of the rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. We also know that one side of the rectangle has a length of (2x - 3).
To find the expression that represents the missing side of the rectangle, we can use the formula for area and solve for the unknown side:
A = lw
4x^2 - 9 = (2x - 3)w
Divide both sides by (2x - 3):
w = (4x^2 - 9)/(2x - 3)
Therefore, the expression that represents the missing side of the rectangle is:
w = 2x + 3
Identify if the given statement is true or false.
The incenter is the point of concurrency of the altitudes of a triangle.
True or False
Answer:
false, true, false
Step-by-step explanation:
Horses age more rapidly than humans.Suppose that the "horse age" and"human age"
Let x represent the horse age
Let y represent the human age
Since the horse age and human age vary directly, we have the relation
\(x\text{ }\alpha\text{ y}\)Introducing an equality sign, we
\(x\text{ =Ky}\)Where K is a proportionality constant, evaluated as
\(K\text{ = }\frac{x}{y}----\text{ equation 1}\)Since a 5-year-old horse is equivalent to 15-year old human,
x = 5
y = 15
we have
\(\begin{gathered} K\text{ = }\frac{5}{15} \\ \Rightarrow K=3 \end{gathered}\)Thus,
\(\begin{gathered} K=\frac{x}{y} \\ 3\text{ = }\frac{x}{y} \\ \Rightarrow x\text{ = 3y ----- equation 2} \end{gathered}\)Thus, for a horse who has lived 16 years
x = 16
Shaundra wants to triple the volume of a square pyramid. What should she do
Answer:
she should tripple it then if thats what she wants to do
Step-by-step explanation:
Which of the following statements is true for ALL quadratic functions?
a)They all have a minimum
b)The domain is (-∞, ∞)
c)They all have a maximum
d)The range is (-∞, ∞)
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 6
Green 12
Yellow 19
Purple 19
Based on these results, express the probability that the next spin will land on blue as a fraction in simplest form.
Explanation
Add up the frequencies:
7+6+12+19+19 = 63
Out of those 63 total spins, 6 of them landed on blue.
The empirical (aka experimental) probability of landing on blue is therefore 6/63 = 2/21
John is 15 years older than two times Carl's age. John is 45. Which equation represents x,Carl's age
Answer:
(j-15)/2=c
Step-by-step explanation:
so (45-15)/2=30/2 is 15
Geometry problem, please help ASAP
Answer: 255.988°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent(side), H=hypotenuse)
They gave us the quest to find the adjacent side, so we can cross off SOH. The angle of elevation is 38 and the angle is adjacent to the right angle(side) and they gave us the opposite which is 200. Now we can also cross off the CAH because they didnt give us or ask for the hypotenuse. SO now solving time.
tan(38)=\(\frac{200}{x}\), since x is on the bottom we switch.
x=\(\frac{200}{tan(38)}\)
x=255.988°
in this experiment, if there is no spring attached and the bob is rotated at a constant speed, what provides the centripetal force? draw a digram to explain your answer.
The tension in the string provides the centripetal force which keeps the bob moving in its circular path.
If there is no spring attached and the bob is rotated at a constant speed, the centripetal force is provided by the tension in the string or the force of gravity.
In the diagram, the bob is attached to a string which is being rotated at a constant speed in a circular path. The tension in the string provides the centripetal force which keeps the bob moving in its circular path.
Alternatively, if the experiment is being conducted on Earth, the force of gravity can also provide the centripetal force to keep the bob moving in a circular path.
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i don't understand this i need help like helppp please
Answer:
\(x = 110 \\ (exterio \: angles \: of \: a \: traingle \: sum \: up \: to \: 360)\)
Answer:
x = 110
Step-by-step explanation:
Assuming you require the value of x
The sum of the external angles of a triangle = 360°
The 3 angles shown are external angles.
Subtract the sum of the 2 given angles from 360 for x
x = 360 - (140 + 110) = 360 - 250 = 110
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to tip at 20%, what should she pay if she doesn’t want to leave pennies on the table?
$0.55
$1.30
$2.65
$5.30
Answer:
$5.30
Step-by-step explanation:
Convert 20% to it's decimal form.
20%/100 = .20
Multiply .20 with 26.50.
.2 x 26.5 = 5.3
Answer:
D
Step-by-step explanation: