The probability that the dictionary is selected is 0.417, 3 novels and 2 books of poems are selected is 0.707. The probability that 4 novels are selected is 0.354.
The probability that the dictionary is selected, we need to determine the total number of ways to select 5 books from the shelf, as well as the number of ways to select the dictionary and 4 other books.
The total number of ways to select 5 books from the shelf is:
C(12,5) = 12! / (5! * 7!) = 792
The number of ways to select the dictionary and 4 other books is:
C(1,1) * C(11,4) = 11! / (4! * 7!) = 330
Therefore, the probability that the dictionary is selected is:
P(dictionary) = 330/792 = 0.417
The probability that 3 novels and 2 books of poems are selected, we need to determine the total number of ways to select 5 books from the shelf, as well as the number of ways to select 3 novels and 2 books of poems.
The total number of ways to select 5 books from the shelf is:
C(12,5) = 12! / (5! * 7!) = 792
The number of ways to select 3 novels and 2 books of poems is:
C(8,3) * C(3,2) = (8! / (3! * 5!)) * (3! / (2! * 1!)) = 560
Therefore, the probability that 3 novels and 2 books of poems are selected is:
P(3 novels, 2 books of poems) = 560/792 = 0.707
The probability that 4 novels are selected, we need to determine the total number of ways to select 5 books from the shelf, as well as the number of ways to select 4 novels and 1 other book.
The total number of ways to select 5 books from the shelf is:
C(12,5) = 12! / (5! * 7!) = 792
The number of ways to select 4 novels and 1 other book is:
C(8,4) * C(4,1) = (8! / (4! * 4!)) * (4! / (1! * 3!)) = 280
Therefore, the probability that 4 novels are selected is:
P(4 novels) = 280/792 = 0.354
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_____ The given question is incomplete, the complete question is given below:
If 5 books are picked at random from a shelf containing 8 novels, 3 books of poems, and a dictionary, what is the probability that a. the dictionary is selected? b. 3 novels and 2 books of poems are selected? c. 4 novels are selected?
3b + 6 identify the first term of the algebraic expression. Indicate whether the term is a variable term or a constant term. For a variable term, identify the variable and the coefficient of the term
Variable and Coefficient of the given algebraic expression 3b + 6 is b and 3 respectively.
A variable is a symbol or letter that represents a value that can change or vary in a given context. Variables are often used to represent unknown or changing quantities in equations,
A coefficient is a numerical factor that is multiplied by a variable or variables in an algebraic expression. In other words, it is the number that appears in front of a variable.
3b + 6 identify the first term of the algebraic expression. Indicate whether the term is a variable term or a constant term. For a variable term, identify the variable and the coefficient of the term:
The first term of the algebraic expression 3b + 6 is 3b.
This is a variable term because it contains the variable "b".
The variable is "b" and the coefficient of the term is 3.
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what is the probability of picking a red ball from the bag and getting heads upon flipping a fair coin? a.) 3 over 16 b.) 7 over 8 c.) 3 over 4 d.) 1 over 8
the probability of picking a red ball from the bag and getting heads upon flipping a fair coin is 1/2 * 1/2 = 1/8.
There are two independent events, and therefore the probability of both occurring is calculated by multiplying the probability of each event. The probability of picking a red ball from the bag is 1/2, and the probability of getting heads upon flipping a fair coin is also 1/2. Therefore, the probability of picking a red ball from the bag and getting heads upon flipping a fair coin is 1/2 * 1/2 = 1/8.
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One endpoint of MP is M(7, 3), and the midpoint is R(12, 3).
What are the coordinates of the other endpoint?
The coordinates of the other endpoint are (17, 3).
How to determine the coordinates of the other endpoint?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2):
Midpoint R = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Next, we would determine the coordinate of MP with midpoint M at (7, 3) as follows;
12 = (7 + x₂)/2
24 = 7 + x₂
x₂ = 24 - 7
x₂ = 17.
For the other co-ordinate of P on line segment MP, we have:
3 = (3 + y₂)/2
6 = 3 + y₂
y₂ = 6 - 3
y₂= 3.
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which of the following statements is true? multiple select question. two data sets could have different means but the same standard deviation. if two data sets have the same mean they must have the same standard deviation. two data sets could have the same mean but different standard deviations. if two data sets have different means they must have different standard deviations.
The correct statements are Two data sets could have different means but the same standard deviation, and could have the same mean but different standard deviations. If two data sets have different means they must have different standard deviations. Correct options are A, C , D.
The mean and standard deviation are both measures of the central tendency of a data set, but they capture different aspects of the distribution. The mean represents the average value of the data, while the standard deviation measures how spread out the data is around the mean.
It is possible for two data sets to have different means but the same standard deviation if one data set is more spread out than the other, but the values are symmetrically distributed around the mean. For example, the data sets {1, 2, 3, 7, 8, 9} and {0, 4, 5, 5, 5, 9} have different means (5 and 4.67, respectively) but the same standard deviation (3.16).
Similarly, two data sets could have the same mean but different standard deviations if one data set is more spread out than the other. For example, the data sets {1, 2, 3, 4, 5} and {1, 3, 3, 3, 5} have the same mean (3) but different standard deviations (1.41 and 1.26, respectively).
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Complete question is:
Which of the following statements is true?
multiple select question.
A. two data sets could have different means but the same standard deviation.
B. if two data sets have the same mean they must have the same standard deviation.
C. two data sets could have the same mean but different standard deviations.
D. if two data sets have different means they must have different standard deviations.
(b) Paul uses the function y = 8x + 38 to model the situation. What score does the model predict for 6 h of homework?
If Paul uses the function y = 8x + 38 to model the situation, then the model predicts a score of:
86 for 6 hours of homework.
In the given problem, we are given a linear equation of the form y = 8x + 38, where y represents the score obtained by Paul and x represents the number of hours of homework done by Paul.
To predict the score for 6 hours of homework, we need to substitute 6 for x in the equation and solve for y. By substituting x = 6 in the equation, we get:
y = 8x + 38y = 8(6) + 38y = 48 + 38y = 86Therefore, the model predicts a score of 86 for 6 hours of homework.
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Find the size of angle x.
Give your answer in degrees (°).
41°
77°
x
Watch video
36°
Not drawn accurately
According to the information, the value of the missing angle would be 206°, in a quadrilateral.
How to calculate the value of the missing angle?To calculate the value of the missing angle we must take into account that the angles of a quadrilateral must add up to 360°. On the other hand, the angles of a triangle must sum to 180°.
According to the previous information, if it is a triangle, then we must add the angles that we know and then subtract it from 180°.
41° + 77° = 118°118° - 180° = 62°On the other hand, if it is a quadrilateral we must add the angles and subtract them from 360°.
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What is the GCF of 4454 and 121j²k?
O 4j³k²
O 4j²k4
O 11j³k²
O 11j²4
The required, there is no highest common factor between 4454 and 121j²k. None of the options are correct.
What is the greatest common factor?The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.
Here,
To find the greatest common factor (GCF) of 4454 and 121j²k, we need to factor both numbers into their prime factors and then identify the common factors.
Since 4454 is an even number and 121 is an odd number so there is no prime highest common factor between the given number.
Thus, none of the options are correct.
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please help i will mark as brainliest i promise
The triangles ΔGFN and ΔJFN are congruent to each other by the SAS postulate. Then ∠FGN = ∠FJN.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The line segment GF = NJ and FN bisect the angle ∠GFJ.
In triangles ΔGFN and ΔJFN, then we have
GF = NJ (Given)
∠GFN = ∠JFN (Given)
NF = NF (Common sides)
The triangles ΔGFN and ΔJFN are congruent to each other by the SAS postulate. Then we have
∠FGN = ∠FJN
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A concert venue wants to make at least $3,150.00 profit for their Saturday night show.
Adult tickets cost $12.00 and children's tickets cost $6.00. The venue can seat up to
350 people. Find three combinations of adult and children's tickets that will make the
profit goal and not be more than 350 total people. Enter your answer as ordered pairs
(A,C) separated by a comma where A is the number of adult tickets sold and Cis
the number of children's tickets sold.
Answer:
(175, 175) -> $3,150
(200, 150) -> $3,300
(225, 125) -> $3,450
Explain: I hope this helps
Find the value of z.
108°
40°
z=[?]°
Answer: z is in the triangle all triangles -180 degrees so 108+40 = 148
180-148=32
Answer 32 degrees
Step-by-step explanation:
Answer: 20 for acellus
What are the coordinates of the center in the measure of the radius for a circle whose equation is (x-10)^2+(y-3)^2=36
Answer:
Center is (10, 3)
Radius = 6
Step-by-step explanation:
The standard equation of a circle is
(x - a)² + (y - b)² = r²
where
(a, b) is the center of the circle and
r is the radius
Comparing (x - 10)² + (y - 3)² = 36
it is easy to see that a = 10, b = 3 and r =√36 = 6
So center is(10, 3) and radius is 6
What is the area of this compound figure?
Answer:
99 square millimeters
Answer given by the other user is correct. Merely giving the steps required to solve such a problem
Step-by-step explanation:
Break up the figure into 3 rectangles as shown in the attached image
The area of the top rectangle with size 11 x 3 = 33 square millimeters
The area of the small rectangle is 2 x 5 = 10 square millimeters
The area of the vertical rectangle is 4 x 14 = 56 square millimeters
Total area = 33 + 10 + 56
= 99 square millimeters
12. Angle of a right-angled isosceles triangle is:
a. 1 : 2 : 3
b. 1 : 1 : 2
c. 1 : 3 : 4
d. 2 : 2 : 3
Which statements are correct about the average rate of change for the function
given in the table?
X
1
2
3
4
y
1
3
7
15
SOMEBODY HELP PLEASE RN?
The correct statements regarding the average rate of change of the function are given as follows:
The average rate of change is of 3 over the interval 1 ≤ x ≤ 3.The average rate of change is of 6 over the interval 2 ≤ x ≤ 4.How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
From x = 1 to x = 3, we have that:
The change in the input is of 3 - 1 = 2.The change in the output is of 7 - 1 = 6.Hence the rate is given as follows:
6/2 = 3.
From x = 2 to x = 4, we have that:
The change in the input is of 4 - 2 = 2.The change in the output is of 15 - 3 = 12.Hence the rate is given as follows:
12/2 = 6.
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please help !!!! i will mark brainliest if correct
Answer:
(2.571, 10.143)
Step-by-step explanation:
Answer:
(4, 3) ordered pair
Step-by-step explanation:
Rearranging the two equations making y the subject of the equations:
[tex]y = -5x + 23[/tex] —-(equation i)
[tex]y = 2x - 5[/tex] ——-(equation ii)
Equating equation i to equation ii and solve for x. Bring all the like terms together:
[tex]2x - 5 = -5x + 23[/tex]
[tex]= 2x + 5x = 23 + 5[/tex]
[tex]= 7x = 28[/tex]
x = [tex]\frac{28}{7}[/tex]
∴ x = 4
Substitute the value of x in any of the two equation to solve for y:[tex]y = 2(4) - 5[/tex]
y = [tex]8 - 5[/tex]
y = 3
Together these x and y values form an ordered pair, which is also the point of intersection for these two equations: [tex](4, 3)[/tex]
3x+2y=9
2/3y=3-x
What’s the solution
Answer:
2y=9-3x. 2=(3-x)3y
2=(9-3x)/y......1 2= 3y(3-x)..........2
Combining equations 1 and 2;
9-3x=3y²(3-x)
3(3-x)=3y²(3-x)
y²=1
y=√1
y= ±1
among 8 electrical components exactly one is known not to function properly. if 2 components are randomly selected, find the probability that at least one does not function properly.
The probability that at least one component does not function properly when 2 components are randomly selected from 8 is 1/4, or 0.25.
The total number of ways to select 2 components from 8 is:
C(8,2) = 8! / (2! (8-2)!) = 28
Now, let's find the probability that at least one component does not function properly. We can find this probability by subtracting the probability that both components function properly from 1.
The probability that the first component functions properly is 7/8, since there are 7 working components out of 8. The probability that the second component also functions properly, given that the first component does, is 6/7, since there are 6 working components left out of 7. Therefore, the probability that both components function properly is:
(7/8) * (6/7) = 6/8 = 3/4
So the probability that at least one component does not function properly is:
1 - 3/4 = 1/4
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Compare the experimental and theoretical probabilities of each outcome.
Getting two tails
Getting two heads
Getting one heads and one tails
The theoretical probability of getting two tails is 1/4 = 0.25 = 25%. The experimental probability of getting two tails will change for every experiment.
The theoretical probability of getting two heads is 1/4 = 0.25 = 25%.
The theoretical probability of getting one head and one tail is 2/4 = 0.50 = 50%.
What is experimental probability?
The proportion of outcomes where a specific event occurs to all trials, not in a hypothetical sample space but in a real experiment, is known as the empirical probability, relative frequency, or experimental probability of an event.
Given that two coins flip together. The outcomes of a coin is {H,T}.
The outcomes after flipping of two coins are
{HH, HT, TH, TT}
The total number of outcomes is 4.
The number of outcomes to get two tails is 1.
The probability of getting two tails is 1/4 = 0.25 = 25%.
The number of outcomes to get two heads is 1.
The probability of getting two heads is 1/4 = 0.25 = 25%.
The number of outcomes to get one head and one tail is 2
The probability of getting one head and one tail is 2/4 = 0.50 = 50%.
The theoretical probabilities will change for every experiment.
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the tickets for the field trip were purchased yesterday for both students and instructors. children tickets cost $11, adult tickets cost $13. the number of children tickets purchased was one more than ten times the number of adults tickets purchased. how many of each were purchased if all of the tickets cost a total of $995 dollars?
42 adult tickets and 421 children tickets were purchased for the field trip, based on the given information that the total cost of the tickets was $995 and the children tickets cost $11 while the adult tickets cost $13, and the number of children tickets purchased was one more than ten times the number of adults tickets purchased.
Let's use variables to represent the unknown quantities in the problem:
Let x be the number of adult tickets purchased
Then the number of children tickets purchased is 10x + 1 (since it is one more than ten times the number of adults tickets purchased)
Using these variables, we can set up an equation based on the total cost of the tickets:
13x + 11(10x + 1) = 995
Simplifying and solving for x, we get:
23x + 11 = 995
23x = 984
x = 42.7826087 (rounded to 9 decimal places)
Since we can't purchase a fraction of a ticket, we'll round x down to the nearest whole number, which means 42 adult tickets were purchased. Then the number of children tickets purchased is:
10x + 1 = 10(42) + 1 = 421
So, 42 adult tickets and 421 children tickets were purchased.
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Please help me it’s a drag and drop
Answer:
1. identify the constant you will need to multiply each equation by to eliminate x
2. multiply all terms by -3 in equation 1
3. multiply all tems by 5 in equation 2
4. add the sum of the equation together to eliminate x
Explanation:1. identify the constant you will need to multiply each equation by to eliminate x
2. multiply all terms by -3 in equation 1
3. multiply all tems by 5 in equation 2
4. add the sum of the equation together to eliminate x
PLEASE SOLVE
the graphs of y=px+w and y=rx+s are perpendicular and p=100|r|. Find the values of p and r
P=_
R=_
Answer:
Step-by-step explanation:
Bob bought 40 gumboils from a quarter machine. The number of each flavor he got is shown in the table. If there are 140 gumboils remaining in the machine, what is a reasonable prediction for the number of cola flavored gumboils left?
Flavors: Amount:
Grape 4
Cherry 12
Cola 16
Orange 8
Answer:
56 cola flavored gumboils
Step-by-step explanation:
Bob's 40 count of gumballs has 16 cola gumballs
Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5
There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs
So number of cola gumballs left is expected to be 2/5 x 140 = 56
This is only a prediction based on Bob's sample of 40 cola gumballs
What is the measure of each angle in a regular 18-gon? If necessary, round your answer to the nearest tenth.
A regular polygon with 18 sides has a central angle that is 20 degrees in size.
What is meant by angle?An angle is a figure created by two rays or lines that have the same termination in plane geometry. The common terminal of the two rays—known as the vertex—is referred to as an angle's sides. Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types. There are 360° in a circle. It has completed two full rotations if you observe an angle of 720°.A polygon's total number of central angles equals 360 degrees.
As a result, the regular polygon's centre angle has a ratio of 360 to its number of sides. It may be expressed as,
[tex]$C_a=\frac{360}{n}[/tex]
Here, (n) denotes the regular polygon's number of sides.
The polygon in the provided issue has an overall total of 18 sides. Using the method above, it is possible to determine the polygon's centre angle, which has 18 sides. Thus,
[tex]$& C_a=\frac{360}{18} \\[/tex]
[tex]$& C_a=20^{\circ}[/tex]
Therefore, a regular polygon with 18 sides has a central angle that is 20 degrees in size.
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While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?While Mike was visiting his sister in Arlington, he bought an aquarium that was marked down 60% from an original price of $100. If the sales tax in Arlington is 5%, what was the total cost of the aquarium?
The total cost of the aquarium that Arlington bought after markdown and including sales tax is $42.
What is meant by the markdown of the price?
The markdown is the price that separates an item's current, lowered price from its original, full price. Typically, a percentage is used to express it. Retailers can offer their products at a discount thanks to markdown.
Discounts are distinct from markdowns. Markdowns give everyone the chance to buy products for a lower price. However, some customers may only be eligible for discounts, such as students.
Markdown = (difference of prices / actual selling price) x 100
Given,
Original Cost of aquarium = $100
Marked down price = 100 - 0.60 * 100= 100 - 60 = $40
Sales tax = 5%
Sales tax is the percentage of the price at which the aquarium was bought i.e the markdown price.
Sales tax = 5% of $40 = 0.05 * 40 = $2
Total cost = marked down price + sales tax = $40 + $2 = $42
Therefore the total cost of the aquarium that Arlington bought after the markdown and including sales tax is $42.
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I need help with this
Answer: 29 yards
Step-by-step explanation:
First, we want to find how much she spent. We will subtract the leftover from the original amount.
$15 - $9.49 = $5.51 spent
Next, we will convert this value into cents.
$5.51 = 551 cents
Last, we will divide this by the price per yard to find how many yards she bought.
551 / 19 = 29 yards
Answer:
29 yards
Step-by-step explanation:
$15.00 - $9.49= $5.51
$5.51 divide by .19 per yard = 29
answer and explain for 10 points.
Answer:
The answer is 6 with a remainder of 2.
Step-by-step explanation:
3 times 6 is 18.
Then if you subtract 18 from 20 you get 2.
So 3 goes into twenty, 6 times, and you get a remainder of 2.
4. Round each fraction to help you estimate the solution for the following equation:
one-sixth plus five-sixths equals
1. 0
2. one half
3. 1
4. 2
5. Round each fraction to help you estimate the solution for the following equation:
seven twelfths plus two-twelfths equals
1. one half
2. 1
3. one and one half
4. 2
6. Round each fraction to help you estimate the solution for the following equation:
nine-tenths minus four-tenths equals
1. 0
2. one half
3. 1
4. one and one half
The fractions have values -
4. one-sixth plus five-sixths equals - Option 3 : 1
5. seven twelfths plus two-twelfths equals - Option 1 : 0
6. nine-tenths minus four-tenths equals - Option 4 : 2
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
The first fractional statement is -
one-sixth plus five-sixths
The mathematical expression is -
1/6 + 5/6
Since the denominator is same just add the numerator.
(1 + 5) / 6
6/6
1
Therefore, the value is obtained as 1.
The second fractional statement is -
seven twelfths plus two-twelfths
The mathematical expression is -
7/12 + 2/12
Since the denominator is same just add the numerator.
(7 + 2) / 12
9/12
3/4
0.75 ≈ 0
Therefore, the value is obtained as 3/4.
The third fractional statement is -
nine-tenths minus four-tenths
The mathematical expression is -
9/10 - 4/10
Since the denominator is same just subtract the numerator.
(9 - 4) / 10
5/10
2
Therefore, the value is obtained as 2.
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4. Round each fraction to help you estimate the solution for the following equation:
one-sixth plus five-sixths equals
1. 0
2. one half
3. 1
4. 2
5. Round each fraction to help you estimate the solution for the following equation:
seven twelfths plus two-twelfths equals
1. 0
2. one half
3. 1
4. one and one half
6. Round each fraction to help you estimate the solution for the following equation:
nine-tenths minus four-tenths equals
1. one half
2. 1
3. one and one half
4. 2
Mr. Jackson had to attend a meeting in San Fransisco 300 miles from his home. He traveled the first 90 minutes at 64 miles per hour. The next hour he traveled 66 miles per hour. If he reached San Fransisco three hours later what was his average speed for the last three hours?
Let's call the average speed for the last three hours "S".
First, we need to find the total distance that Mr. Jackson traveled in the last three hours. He traveled 300 miles in total, and he covered 64 miles in the first 90 minutes, so he had 300 - 64 = 236 miles left to travel.
Next, we need to find the time he spent traveling in the last three hours. If he traveled for three hours, and the first hour he traveled at 66 miles per hour, then he covered 66 miles in the first hour. So, he had 236 - 66 = 170 miles left to travel in the last two hours.
Finally, we can use the formula for average speed: distance divided by time. The total distance he traveled in the last three hours was 170 miles, and the time he spent traveling was 2 hours, so his average speed for the last three hours was:
S = 170 miles / 2 hours = 85 miles per hour
So, Mr. Jackson's average speed for the last three hours was 85 miles per hour.
Answer:
68 mph
Step-by-step explanation:
Let's call the average speed for the last three hours "S".
The total distance traveled for the last three hours is 300 - 64 * 1.5 = 300 - 96 = 204 miles.
So, over the last three hours, Mr. Jackson covered a distance of 204 miles at a speed of S.
The time it took him to cover that distance is 3 hours.
We can use the formula distance = speed * time to find S:
204 = S * 3
Solving for S:
S = 68 mph
So the average speed for the last three hours was 68 mph.
Celine's Cupcakes recorded how many cupcakes it recently sold in each flavor. carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6 Considering this data, how many of the next 20 cupcakes sold would you expect to be lemon cupcakes?
So we would expect 8 of the next 20 cupcakes sold to be lemon cupcakes.
What is Algebraic expression?
An algebraic expression is a mathematical phrase that consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The variables can represent unknown values, while the constants represent known values.
Based on the data provided by Celine's Cupcakes, out of the total of 15 cupcakes sold, 6 were lemon cupcakes. This means that the proportion of lemon cupcakes sold is:
6/15 = 0.4
To estimate how many of the next 20 cupcakes sold would be lemon cupcakes, we can assume that the proportion of lemon cupcakes sold will remain the same. Therefore, we can expect that:
0.4 x 20 = 8
Therefore, So we would expect 8 of the next 20 cupcakes sold to be lemon cupcakes.
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A coffee shop recorded the drinks that were recently sold. There is 1 mocha, 3 macchiatos, 5 Americanos, 7 lattes, and 4 espressos! Considering this data, how many of the next 15 drinks sold would you expect to be espressos?
Answer:
one fifth would be espressos so 3
Step-by-step explanation:
