Answers
Pythagorean Thereom is a^2 + b^2 = c^2
15^2= 225
36^2= 1296
39^2= 1521
1296+225= 1521
Related Questions
15% of the players in a pro-am golf tournament are ranked in the top 40 golfers in the world. 67% of the players in the same tournament are amateurs. assume a tournament player being in the top 40 golfers in the world is mutually exclusive of the golfer being an amateur. what is the probability a randomly selected player in tournament is in the top 40 golfers in the world if the player is an amateur?
Answers
Thus, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.
The first step in solving this problem is to use the given information to calculate the proportion of players who are both amateurs and ranked in the top 40 golfers in the world.
Since being a top 40 golfer and being an amateur are mutually exclusive, the proportion we're interested in is the proportion of amateur players who are not in the top 40.
We know that 15% of players are in the top 40, so 85% of players are not. We also know that 67% of players are amateurs, so 33% of players are not. To find the proportion of amateur players who are not in the top 40, we can multiply these two proportions:
0.85 x 0.33 = 0.2805
So, 28.05% of players in the tournament are amateurs who are not in the top 40.
Now, we can use this proportion to answer the question of what the probability is of selecting an amateur player who is not in the top 40, given that the player is an amateur. This is simply the proportion we just calculated:
P(amateur and not top 40) = 0.2805
Therefore, the probability of selecting an amateur player who is in the top 40 is:
P(top 40 | amateur) = 1 - P(amateur and not top 40)
= 1 - 0.2805
= 0.7195 or 71.95%
In other words, there is a 71.95% chance that a randomly selected amateur player in the tournament is not in the top 40 golfers in the world.
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Fill in the blank: A student earned a grade of 80% on a math test that had 20 problems. The student answered ______ questions correctly on the math test. (Write the number only.) *
Answers
hahahahahahahahahahahahahahah
The number is 16
PS: had to type more than 20 words
Answer:
16
Step-by-step explanation:
80 X 20 = 16 questions answered correctly.
Celeste ordered a pack with 7 pens and 1 stapler. Each pen weighed 7 grams. The stapler weighed 486 grams. How many kilograms did the order weigh? Note: 1 kilogram = 1,000 grams
Answers
Answer: 0.535kilogram
Step-by-step explanation:
From the question, we are informed that Celeste ordered a pack with 7 pens and 1 stapler and that each pen weighed 7 grams while the stapler weighed 486 grams.
The weight of the order will then be:
= 7 pens + 1 stapler
= 7(7 grams) + 1(486 grams)
= 49 grams + 486 grams
= 535 grams
To convert grams to kilogram,, we have to divide by 1000. This will be:
= 535/1000
= 0.535kilograms
The order weigh 0.535kilograms
According to IRS, the average length of time an individual tax payer takes to complete the IRS 1040 form is 10. 5 hours with a standard deviation of 2 hours. Let X
be the time taken by each individual
Answers
The average time taken by an individual taxpayer to complete the IRS 1040 form is 10.5 hours, with a standard deviation of 2 hours.
The average time taken by an individual taxpayer to complete the IRS 1040 form is known as the mean or expected value, denoted by the symbol μ. In this case, the mean is 10.5 hours. However, not all taxpayers will take exactly 10.5 hours to complete the form. Some may take less time, while others may take more time. The difference between the time taken by each individual and the mean is known as the deviation.
The standard deviation can be used to estimate the amount of time it will take for most individuals to complete the form. We can say that approximately 68% of taxpayers will take between 8.5 and 12.5 hours to complete the form. Furthermore, approximately 95% of taxpayers will take between 6.5 and 14.5 hours to complete the form.
In mathematical terms, the deviation of each individual time from the mean can be calculated as:
deviation = X - μ
Where X represents the time taken by each individual and μ represents the mean. The standard deviation can then be calculated as:
σ = √(Σ(deviation)²/n)
Where Σ represents the sum of the squared deviations from the mean, n represents the sample size, and √ represents the square root.
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18. Richard measured a house and its lot and made a scale drawing. The scale of the drawing was 1 inch: 2 feet. The backyard is 74 feet long in real life. How long is the yard in the drawing?
Answers
The length of backyard in drawing is 37 inch when 74 feet long in real life and scale of drawing is 1 inch: 2 feet.
What is proportion?A proportion is a form of ratio in which the denominator also contains the numerator. For example, the fraction of male deaths would be deaths to men divided by deaths to males + deaths to females (i.e. the total population). A population proportion is a percentage of the population that possesses a specific feature. Assume you have 1,000 persons in your population, with 237 of them having blue eyes. Blue eyes account for 237 of every 1,000 persons, or 237/1000.
Here,
as the given scale is 1 inch: 2 feet.
actual length of backyard=74 feet
length of backyard in drawing is x inch,
1/2=x/74
2x=74
x=37 inch
The length of the backyard in the drawing is 37 inches, although it is 74 feet long in real life, and the scale of the drawing is 1 inch: 2 feet.
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If the mpc increases in value, what will happen to the slope of the consumption function?
Answers
If the mpc increases in value, the consumption function will become steeper.
What is MPC ?
MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.
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Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 3X₁ +5X₂ +7X3 1X₁ +7X₂ + 4X3 ≤ 100 2X1 + 1X₂ + 7X3 ≤ 110 8X₁ + 4X₂ + 1X3 ≤ 100 X₁, X2, X3 20 (C₁: hours on machine 1) (C₂: hours on machine 2) (C3: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: (round your response to two decimal places). X₁² = X₂ = (round your response to two decimal places). = X3² (round your response to two decimal places). Contribution (objective value) = (round your response to two decimal places). b) Machine 1 has Machine 2 has Machine 3 has hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). dollars to the firm (round your response to two decimal places). c) An additional hour of time available for third machine, is worth d) An additional 5 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars (round your response to two decimal places).
Answers
a) Contribution (objective value) = $132.14
b) The firm earns $132.14 at the optimal solution.
c) An additional hour of time available for the third machine is worth $0.14 to the firm.
d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.
The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71
b) The number of unused hours at the ideal solution is:
Machine 1 still has 8.57 hours of time left.
There are no hours left on Machine 2 at the moment.
There are still 94.29 hours left on Machine 3.
c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is
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What is the slope, m, of the line that is perpendicular to the line y = 1/3x + 12 and passes
through the point (0,-5)?
Answers
Answer:
The slope of the line is
\( - 3\)
The equation of the line is
\(y = - 3x - 5\)
Step-by-step explanation:
To find the slope of the line that is perpendicular to
\(y = \frac{1}{3} x + 12\)
We have to first understand that if two lines are perpendicular it means that their slopes are the negative inverse of each other. Since the slope of the line that we know is
\( \frac{1}{3} \)
Then in order to find the slope of the other line we have to find its negative inverse
\( \frac{1}{3} \times line \: 2 = - 1 \\ line \: 2 = \frac{ - 1}{ \frac{1}{3} } \\ line \: 2 = - 1 \times \frac{3}{1} \)
\(slope \: of \: line \: 2 = - 3 \\ \\ recall \: that: \: y = - 9 \: \ \: \: \: x = 1 \: \: \: m = -3 \\ y = mx + c \\ - 9 = ( - 3)1 = c \\ - 9 = - 3 + c \\ - 9 + 3 = c\)
\( - 6 = c \\ \\ therefore \: the \: equation \: of \: the \: \\ line \:is \\ y = - 3x - 6\)
If two events are collectively exhaustive, what is the probability that both occur at the same time? a) 0
b) 0.50 c) 1.00 d) Cannot be determined
Answers
If two events are collectively exhaustive, then the probability that both occur at the same time is 0 .(option-a)
Tossing a coin is an illustration of two occurrences that are both mutually exhaustive and mutually exclusive. When we flip a coin, we can only obtain either a head (H) or a tail (T), never both (H) and (T). As the events are mutually exclusive in this situation, the probability of receiving both a head and a tail is equal to P(H and T) = 0, and the chance of getting either a head or a tail is equal to P(H or T) = 1 since the occurrences are mutually exhaustive.
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simple analysis of variance tests the effect of multiple independent variables upon a dependent variable. group of answer choices true false
Answers
Analysis of Variance (ANOVA) is a statistical technique used to analyze the variance in a dataset and determine whether there are significant differences between the means of two or more groups.
It is used to test the effect of multiple independent variables on a single dependent variable. The statement is true.
ANOVA can be used to compare the means of different groups or treatments, to determine if there are any significant differences between them. This technique is commonly used in experimental studies to determine the effects of different levels of an independent variable on the dependent variable.
In summary, ANOVA is a powerful statistical tool used to analyze the effects of multiple independent variables on a dependent variable. It helps to determine if there are significant differences between the means of two or more groups and is commonly used in experimental studies.
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Barbara got a flat tire and does not have a spare. She needs her car for work, so she goes to a business that offers payday loans in order to get the money to buy a new tire. She borrows $75 and plans to pay it back when she gets paid in 8 days. Barbara is charged a fee of $15 and the term on her loan is 8 days. Approximately what is the annual percentage rate on her loan?
Answers
Answer: 913%
Step-by-step explanation:
Based on the concept of payday loans, Barbara's annual percentage rate is 9.125%
What is the Annual Percentage Rate?The Annual Percentage Rate (APR) is a term that is used to describe the cost paid each year to borrow money, such as fees, expressed as a percentage.
In this case, to get the annual percentage rate (APR) on Barbara's loan calculate the effective interest rate for the 8-day period and then annualize it.
Given that Barbara borrowed $75 and was charged a fee of $15 for an 8-day term the total amount she needs to repay is $75 + $15 = $90.
To calculate the effective interest rate we can use the following formula:
Effective Interest Rate = (Total Interest / Principal) * (365 / Loan Term)
Total Interest = $15 (fee)
Principal = $75 (loan amount)
Loan Term = 8 days
Substituting the values into the formula:
Effective Interest Rate = (15 / 75) * (365 / 8)
Effective Interest Rate = 0.2 * 45.625
Effective Interest Rate = 9.125%
Therefore, APR = Effective Interest Rate * Compounding Frequency
APR = 9.125% * 1
APR = 9.125%
Hence, in this case, it is concluded the approximate annual percentage rate (APR) on Barbara's loan is around 9.125%.
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Do the following products exist? A = [1 4 -3 5] B = [1,1] C = [4 2 0 1 3 5]
e. BC
Answers
The product BC does not exist because the number of columns in matrix B (2) does not match the number of rows in matrix C (6).
For matrix multiplication to be possible, the number of columns in the first matrix must equal the number of rows in the second matrix.
To determine if the product BC exists, we need to check if the number of columns in matrix B matches the number of rows in matrix C. In this case, matrix B has 2 columns and matrix C has 6 rows.
In matrix multiplication, the number of columns in the first matrix must equal the number of rows in the second matrix. If this condition is not met, the product of the two matrices does not exist.
Since the number of columns in B (2) does not match the number of rows in C (6), the product BC cannot be calculated.
In matrix notation, the product BC is defined as:
BC = [b₁₁ b₁₂] * [c₁₁ c₁₂ c₁₃ c₁₄ c₁₅ c₁₆]
[b₂₁ b₂₂]
To perform the multiplication, we would need to take the dot product of each row of matrix B with each column of matrix C. However, since the dimensions do not match, the multiplication cannot be carried out.
Therefore, the product BC does not exist.
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An artist uses 60 pounds of clay to make 80 bowls. The ratio of pounds of clay she uses to the number of bowls she makes is a proportional relationship. Select all the true statements.
Answers
Answer:
With the given information we can find the unit rate at least
We know that the artist used 60 pounds of clay to make 80 bowls. If we divide those magnitudes, we would find the total number of pounds per bowl.
\(p=\frac{60}{80}=0.75 \ lb/bowl\)
Therefore, the artist used 0.75 pounds per bowl.
We can also express the proportional relationship as
\(clay=0.75(bowl)\)
Which indicates that the total number of pounds of clay represents 75% of the total number of bowls, that's the relation.
-6=b/18 solve this equation
Answers
From the given equation, we are to solve for b.
\(\begin{gathered} -6=\frac{b}{18} \\ \text{Cross mult}iply \\ -6\times18=\text{ b} \\ -108=\text{ b} \end{gathered}\)Hence the answer of b is -108.
Volume and Surface Area
Answers
1 )
\(volume = 20 \times 5 \times 8\)
\(volume = 800 \: \: {m}^{3} \)
\(surface \: \: area \: = 4 \times 20 \times 8\)
\(surface \: area \: \: = 640 \: \: {m}^{2} \)
_____________________________________________
2 )
\(v = 15 \times 3 \times 4\)
\(v = 180 \: \: {m}^{3} \)
\(s \: a \: = 4 \times 15 \times 4\)
\(s \: a \: = 240 \: \: {m}^{2} \)
_____________________________________________
3 )
\(v = ( \frac{1}{2} \times 4 \times 5) \times 10 \\ \)
\(v = 100 \: \: {m}^{3} \)
\(s \: \: a = (10 \times 5) + (10 \times 4) + (10 \times \sqrt{41} ) \\ \)
\(s \: a \: \: = 50 + 40 + 10 \sqrt{41} \)
\(s \: a \: \: = 90 + 10 \sqrt{41} \)
_____________________________________________
4 )
\(v = ( \frac{1}{2} \times 3 \times 4) \times 7 \\ \)
\(v = 42 \: \: \: {m}^{3} \)
\(s \: a \: \: = (3 \times 7) + (4 \times 7) + (5 \times 7)\)
\(s \: a \: \: = 21 + 28 + 35\)
\(s \: a \: \: = 84 \: \: \: {m}^{2} \)
Find the area of the trapezoid below:
A =
8
17
10
14
8
Answers
Answer: \(84\)
Step-by-step explanation:
Using the formula for the area of a trapezoid, the area is \(A=\frac{1}{2}(7)(10+14)=84\)
If Talia spins the following spinner 80 times, which is closest to the number of times the spinner should land on the letter A? In a short paragraph, explain your answer in your own words.
Answers
Answer:
The spinner will land on letter A 20 times
Step-by-step explanation:
The remaining part of the question is attached
Solution
The probability of landing on letter A is 2/8 = 1/4
Now the spin is made 80 times.
Hence, the number of times the spinner will land on letter A is
1/4 * 80 = 20
A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?
Answers
Answer:
0.0024
Step-by-step explanation:
1 killogram=1000000
Does 2 divided by 4 equal to 1/2
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Answer:
yes, 2 divided by 4 is 1/2.
Step-by-step explanation:
4 only goes into 2 half a time, therefore 2 divided by 4 is 1/2.
Answer: I say yes
Step-by-step explanation: I guess like when dividing 2 into 4 it goes into 4, 2 times, but like if you were to look up the answer, it comes up as 0.5 which us basically considered 1/2 imo.
please help i will make sure to mark brainliest
Answers
Find the circumference of 8m using pie
Answers
Answer: C = 50.24m A = 200.96m^2
Step-by-step explanation:
Note that the area is in square meters, as the radius is in meters, and we are squaring the radius when calculating the area.
help meeeeee 1/2 X (6 X 4)+3 + 2
Answers
6x4=24
24x1/2=12
12+3=15
15+2=17
17 is the answer
PLEASE HELP!!
Find c.
Round to the nearest tenth:
Answers
Answer:48
Step-by-step explanation:
Which of the following numbers are less than -0.625?
Choose all answers that apply:
a: -8/5
b: -5/8
c: -0.5
Answers
Answer:
A
Step-by-step explanation:
translating the decimal -0.625 to fraction form, you get -5/8, which is equal to B. C is greater, being closer to 0 than -0.625, so that leaves you with A, which is -1.6, and less than -0.625.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(−3,−6) and (4,−8)
Pls help I need this
Answers
The distance between these two points is √53 units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The two points of a triangle are (−3,−6) and (4,−8)
The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
=√(4+3)²+(-8+6)²
=√7²+2²
=√49+4=√53
So the distance between these two points is √53 units
Hence, the distance between these two points is √53 units.
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in a trendline based on five observations, if the average of y is 100 and the slope of the line is 22 then the intercept is:
Answers
c = -880
The intercept for a trendline based on five observations with an average of y = 100 and slope of the line = 22 is -880. This can be calculated using the formula for the equation of a straight line: y = mx + c, where m is the slope and c is the intercept. We know that the slope (m) is 22 and the average of y (the y-intercept) is 100. Plugging in the given values, we get:
100 = 22x + c
c = -880
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Help, please! I appreciate you taking the time to help me
question attached
Answers
f(-x-4) = 2(-x-4) + 3
F(-x-4)= -2x-8+3
F(-x-4)= -2x-5
G(fx)
G(2x+3)= -(2x+3) -4
G(2x+3)= -2x-3-4
G(2x+3)= -2x-7
F(hx)
F(x^2)=2x^2+3
H(fx)
H(2x+3)= (2x+3)^2
H(2x+3)= (2x^2) + 2(2x)(3)+3^2
H(2x+3)= 4x^2+12x+9
[I think I messed up with the last one. I didn’t know how to get the correct answer for that. Sorry ]
On the graph of the curve defined by = 1 x = 14 + 1, 3 +4 a tangent line at the point p(x,y) has a slope equals 1/4, what is the x and y coordinates of the point p.
Answers
The x-coordinate of the point P is 2 and the y-coordinate is 5. So the coordinates of point P are (2,5).
To find the x-coordinate, we set the derivative of the curve equal to 1/4 and solve for x:
d/dx (1/(x+3)) = 1/4
-1/(x+3)² = 1/4
(x+3)² = -4
x+3 = ±2i
x = -3 ± 2i
Since the curve is defined only for real values of x, we take the real part of the solution and obtain x = -3. Therefore, the y-coordinate is y = 1/(x+3) = 1/(-3) = -1/3.
However, this point is not on the curve because the curve is not defined for x = -3. Instead, we need to look for the point on the curve closest to x = -3. We can do this by finding the limit of the curve as x approaches -3 from the right:
lim (x→-3+) (1/(x+3)) = ∞
Therefore, the point P is at x = 2 (the closest value to -3 on the curve) and y = 1/(2+3) = 1/5. So the coordinates of P are (2,5).
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...........................
Answers
Answer:
i dont see a question .
Step-by-step explanation:
Answer:
............................................................
Step-by-step explanation:
what is the value of the expression below 2816 * 7
Answers
Answer: 19,712
Step-by-step explanation: 2816 times 7 = 19712
Answer:
19,712
With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.________________________________________________________
What have we learned?We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.
Questions?Ask me in the comments box.