Answer:
c!!!!
Step-by-step explanation:
Form a polynomial
Degree: 4
Zeros: -1, 2, & 1-2i
Answer:
(x+1)(x-2)(x-1)(x-1+2¡) multiply all together
Step-by-step explanation:
(x+1)(x-2)(x-1)(x-1+2¡)
multiply all together u have your answer
4. Alfonso surveyed several students in his school. He asked them to give the grade that they are in and the number of pets they have at home. The results are shown in the table below.
Survey Results
Grade
5
6
2
1
4
2
4
1
4
3
5
Number of
Pets
0
4
2
3
5
1
2
2
0
5
2
Find the correlation coefficient for the data. Round to the nearest hundredth
EDIT: IT ISNT 0.35 , 0.36 nor 0.37 SOOO PLEASE REFRAIN FROM GIVING ME THISE ANSWERS!!!
Answer: sorry would help ya but i can't because i have no clue what the question is asking me to round...
Help please I don’t understand geometry
It would be the second option.
Good luck :D
Answer:
B
Step-by-step explanation:
How I saw it is that in the example picture the gave a square and then 1/2 of that so I chose B.
Hope this helps! Have a great day!!
When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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Solve for x in each figure below using Angle Pair Relationships.
We have the all too familiar parallel pair cut across by a transversal that gives us a system of supplementary and equal angles.
In this case, 132 degrees is equal to the angles that are corresponding and alternate to (x + 39), thus, making 132 degrees and (x + 39) degrees supplementary angles, i.e, add up to 180 degrees.
\(\begin{gathered} (x+39)+132=180 \\ x+171=180 \\ We\text{ subtract 171 from both sides to get} \\ x=180-171=9 \end{gathered}\)x = 9
Interested in learning more about its fans, the marketing office of the Arena Football League (AFL) conducted a survey at one of its games. The survey has 937 respondents, 694 males and 243 females. Out of the 937 total respondent's, 194 stated that they had attended multiple AFL games. Of these 194 fans that had attended multiple games, 169 were male. Using this survey information, answer the following questions.
1- What is the probability that a randomly selected fan has attended multiple games?2- Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?3- What is the probability of a randomly selected fan being male and having attended multiple games?4- Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?5- What is the probability that a randomly selected fan is male or has attended multiple games?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Total respondent : n(T) = 937
n(male) = 694
n(Female) = 243
n(multiple AFL) = 194
_______________AFL
Male ____694___169
Female __243___ 25
Total____ 937___194
1.) What is the probability that a randomly selected fan has attended multiple games?
n(Multiple AFL) / n(Total)
= 194 / 937
= 0.207
2.) Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?
Male who attended multiple AFL / n(multiple AFL)
= 169 / 194
= 0.871
3- What is the probability of a randomly selected fan being male and having attended multiple games?
Number of males who have attended multiple games / n(Total)
= 169 / 937
= 0.180
4- Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?
Number of males who have attended multiple AFL / n(male)
169 / 694
= 0.2435
5- What is the probability that a randomly selected fan is male or has attended multiple games?
[n(male) + n(multiple AFL)] / n(Total)
(694 + 194) / 937
= 888 / 937
= 0.9477
Helpppppppppppppppppppppppp
Help pls! The question is in the the photo.
Step-by-step explanation:
after mixing 1 can of concentrate and 3 cans of water, we will have 4 cans of juice.
the volume of 1 can is (as for any cylinder or regular 3D object)
base area × height
for a cylinder the bar area is the area of a circle
pi×r²
r is the radius, which is half of the diameter.
in the picture it is not fully clear what is 2.25 in long : the diameter of the radius ?
I suspect it is the diameter.
so, the radius of our cans is 2.25/2 = 1.125 in
the volume of 1 can is
pi×1.125²×4.25
and the volume of all 4 cans of juice is then
4×pi×1.125²×4.25 = 17×3.14×1.265625 = 67.5590625 in³
≈ 68 in³
so, your answer is 68.
Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 129 University of (California Berkeley undergraduates were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others.
A. Identify the population of interest and the sample in this study.
B. Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
Answer:
(A) Population: UCB undergraduates
Sample: The selected 129 UCB undergraduates
(B) Yes, they can be generalized to the population
No, the findings of this single study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.
Step-by-step explanation:
STUDY: Relationship between socio-economic class and unethical behavior.
The bases for determining social class here are: money, education, and respected job.
RESULT: Those who identified as upper class took more candy than others.
(A) Identify the population of interest and the sample, in this study.
The population of interest in this study is UCB undergraduates.
The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.
(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.
The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.
There is a raffle with 125 tickets. One ticket will win a $920 prize, and the rest will win nothing. X is the payoff for one ticket in the raffle. Write the probability distribution of X in the table below.
Write each probability as an exact decimal.
Answer:
\(\begin{array}{|c|c|} \cline{1-2}X & P(X)\\\cline{1-2}920 & 0.008\\\cline{1-2}0 & 0.992\\\cline{1-2}\end{array}\)
========================================================
Explanation:
There are 125 tickets total, and 1 winning ticket.
The probability of winning is 1/125 assuming each ticket is likely to be chosen.
1/125 = 0.008
This value is exact without any rounding.
The probability of getting any other ticket is 1-0.008 = 0.992; this is because the probability of winning and losing must add to 1.
X is the payoff for one ticket. Winning gives a payoff of $920; while losing has a payoff of $0
The probability distribution table that we form is shown in the answer section at the top.
((−20)−(−8))÷((−6) − (−8))
Answer:
- 6================
Solve each parenthesis and then divide:
((−20)−(−8)) ÷ ((−6) − (−8)) =(-20 + 8) ÷ (- 6 + 8) = (- 12) ÷ 2 = - 6Answer:
The answer is -6.
Step-by-step explanation:
Given problem,
→ ((-20) - (-8)) ÷ ((-6) - (-8))
Let's solve the problem,
→ ((-20) - (-8)) ÷ ((-6) - (-8))
→ ((-20) - (-8))/((-6) - (-8))
→ ((-20) + 8)/((-6) + 8)
→ (-12)/2 = -6
Thus, the answer is -6.
14,000 lb = T
Help me plz
Answer:
7.0 tons T
Step-by-step explanation:
Solve the equation:\(\sqrt{} x^{2} + 4 - 1 = 2\)
Answer:
D) x = √5
Step-by-step explanation:
\(\sqrt{x^{2}+4 }-1 = 2\)
\(\sqrt{x^{2}+4 } = 3\)
\(x^{2}+4 = 3^{2} \)
\(x^{2}+4 = 9\)
\(x^{2} = 9 -4 \)
\(+x = \sqrt{5} , -x = \sqrt{5}\)
What is the solution to the equation 4(b - 2) - 10 = 2b + 6 A ) b = 4 B) b = 3.3 C) b = 7.5 D b = 12
What is the area of a circle with a diameter of 10 inches?
a.
78.5 in2
c.
314 in2
b.
62.8 in2
d.
100 in2
Answer:
area is 3.14 r2
Step-by-step explanation:
here r = 5 inch
area = 3.14 × 25
so 78.5 in2
A student is taking an exam with 40 questions on it.To pass the exam she needs to answer 70% of the questions correctly. Unfortunately she answered only 40% of the 15 questions correctly. What percent of the remaining 25 questions does she have to answer correctly to pass the exam?
The first step is to find out how question in total she is able to miss, while still passing.
We know that there are \(40\\\) questions on the test and she must get \(70\)% of the questions correct.
Let's calculate how many questions that is:
40 x 0.70
= 28.
Subtract
40 - 28
= 12.
She is able to get 12 answers incorrect.
Now we must find out how many questions she got wrong when she got 40% of the first 15 correct.
If she got 40% correct; She got 60% incorrect.
Let's do the math:
Multiply:
15 x 0.40
= 6
Subtract:
15 - 6
= 9
This means that she got 6 questions correct, and 9 questions incorrect.
With the total allotment of 12 incorrect answers allowed, she can only get 3 more questions wrong.
Now we must find the percentage of the remaining 25 questions she can get wrong.
She can only get 3 wrong and she must get 22 correct.
Multiply:
22 x 4
= 88.
This means that she has to get 88% of the remaining 25 questions correct.
Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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1 kilometer =100 meters1 mile = 1760 yardsHaley walked 5 kilometers to her grandmother's house. About how many miles did she walk?
Answer:
She walked 3.107 miles
Explanation:
Given that Haley walked 5 kilometers to her grandmother's house, to know how many miles she walked, we need to find the equivalent of 5 kilometers in miles.
Note that
1 mile = 1.6093 kilometers
x mile = 5 kilometer
1.6093x = 5
x = 5/1.6093
= 3.107 miles
In the diagram below, KM=5 and MN=3
Answer: KL = KN LM=NO=9 Side-Side-Side
Step-by-step explanation:
The required answers to the question is given below.
What is congruence?Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.
How to solve it?Use the following figure to understand the answer.
The Proof is
1. KM=KO=5 (GIven)
2. MN=3 (Given)
3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)
4. KL=8 (Given)
5. KL=KN (from 3,4 substitution)
6. NO=ML=9 (Given)
7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three (3) statements which are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² ....equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
From the information provided above, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
Comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x – 0)² + (y - 0)² = 3²
x² + y² = 9.
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HELPPP PLEASE URGENT!!
Heather has divided $6700 between two investments, one paying 8%, the other paying 5%. If the return on her investment is $428, how much does she have in each investment?
Answer:
First investment = $3100
Other investment = $3600
Step-by-step explanation:
Total investment made by Henry = $6700
Let one investment be x,
Then other investment = total investment - first investment = 6700 - x
A) For 8% interest, investment = x
dollar value of 8% investment = 8/100*x= 8x/100
A) For 5% interest, investment = 6700- x
dollar value of 8% investment = 5/100*(6700- x)= 5(6700- x)/100
Total return on both the investment = 8x/100 + 5(6700- x)/100
= (8x +33500 - 5x)/100 = (3x+33500)/100
Given that total return = 428
Therefore,
(3x+33500)/100 = 428
=> 3x+33500 = 428*100 = 42800
=> 3x = 42800- 33500 = 9300
=> x = 9300/3 = 3100
Thus, first investment = x = $3100
other investment = $(6700 - 3100) = $3600
Chuck's Chops, an up-scale steak house, received an invoice for 800 pounds of baking potatoes with a cost of $.85 per pound. The terms were, n/30. Chuck was unable to pay the bill in full within the discount period but was able to remit a partial payment of $425.00 within the discount period. How much credit did Chuck receive for his payment?
Chuck received a credit of $369.15 for his partial payment.
What is simple interest?
The interest on a loan or principal sum can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more.
The total cost of the baking potatoes is calculated by multiplying the weight of potatoes by the cost per pound:
800 pounds x $0.85/pound = $680
Since the terms are n/30, Chuck has 30 days to pay the invoice in full to receive the discount. He made a partial payment of $425 within the discount period, which means he has a remaining balance of:
$680 - $425 = $255
To determine how much credit Chuck received for his partial payment, we need to calculate the discount he would have received if he had paid the full amount within the discount period. The discount is calculated by multiplying the total cost by the discount rate, which is calculated by dividing the discount period by the number of days in the year:
Discount rate = discount period / number of days in the year
Discount rate = 30 / 365
Discount rate = 0.0822
Discount = total cost x discount rate
Discount = $680 x 0.0822
Discount = $55.85
Since Chuck only paid $425 within the discount period, he is entitled to a credit for the remaining discount amount:
Credit = Discount - Partial payment
Credit = $55.85 - $425
Credit = -$369.15
Therefore, Chuck received a credit of $369.15 for his partial payment.
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Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %
Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
\($$SA = 2lw + 2lh + 2wh$$\)
where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
22.62 mm = m
Plz help
0.0226 that's your answer i can't put the step b step but that's the answer.
Last year Bobs market ordered 5 2/3 cups of strawberries for an event. This year they plan to order 6 1/2 times as many strawberries as they did last year as well as 1/6 of a cup of blueberries. Then they are going to mix the berries together and sell them in 6 ounce bags. How many complete bags can they sell if they use all the berries?
Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.
How to find How many complete bags can they sell if they use all the berriesLast year, Bob's market ordered 5 2/3 cups of strawberries. This year, they plan to order 6 1/2 times as many strawberries as last year.
Therefore, the quantity of strawberries this year is:
Strawberries = 5 2/3 cups * 6 1/2 = (17/3) cups * (13/2) = (221/6) cups.
They also plan to order 1/6 of a cup of blueberries.
Total berries = Strawberries + Blueberries = (221/6) cups + (1/6) cups = (222/6) cups.
Since they want to sell the berries in 6-ounce bags, we need to convert the cup measurement to ounces.
1 cup = 8 ounces.
Total berries = (222/6) cups * 8 ounces/cup = (1488/6) ounces = 248 ounces.
Now, we can find the number of complete 6-ounce bags they can sell:
Number of bags = Total ounces / 6 ounces = 248 ounces / 6 ounces = 41.3333.
Since we cannot have a fraction of a bag, Bob's market can sell a total of 41 complete bags of mixed berries.
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Best way to solve this type of equation Ax+by=c
The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.
Quadratic equation
The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.
The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.
Hence, either of the three methods are good ways to solve such equation.
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Statistical data of breakdowns of computer XXX show that the duration for trouble-free operation of the machine can be described as a gamma distribution with a mean of 40 days and a standard deviation of 10 days. The computer is occasionally taken out for maintenance in order to insure operational condition at any time with a 95% probability.
1. How often should the computer be scheduled for maintenance? Should it be shorter or longer than the mean of 40 days?
2. Three XXX computers were acquired at the same time by an engineering consulting firm. The computers are operating under the same environment, workload, and regular maintenance schedule. The breakdown times between the computers, however, may be assumed to be statistically independent. What is the probability that at least one of the three machines will break down within the first scheduled maintenance time?
1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns
1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.
To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:
reliability = 0.95
time = maintenance interval
Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.
2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.
The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:
Probability of no breakdowns = (reliability of a single machine)^3
Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:
Probability of at least one breakdown = 1 - Probability of no breakdowns
By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.
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BRAINLIEST!!!
YOU HAVE 5 MINUTES!!!!
Design an easy do-it-yourself compost bin that can be put (exnfe ffpao)
together at home. You can describe it, draw and label it, or both!
Include the following in your design:
• drawing or description of design
• materials used for the bin
• size of the bin
• substances used to fill it
• household items that can go in it
• how long it takes before it is ready
• how you use the compost
2)
Compost bin design: Add these household items to
your compost bin:
Compost is ready to use in this
much time:
Use your compost this way:
Designing an easy do-it-yourself compost bin:
Drawing and Description:
The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.
The bin can be placed directly on the ground or on a solid surface, depending on personal preference.
Materials Used:
Wood or wire mesh (depending on preference)
Nails or screws to assemble the structure
Size of the Bin:
The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.
Substances Used to Fill It:
To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.
Household Items That Can Go in It:
You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).
Time for Compost to Be Ready:
The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.
Using the Compost:
Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.
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