Answers
The value of angle m< EBF is determined as 56⁰.
What is the sum of angles in a straight line?
The sum of angles in a straight line is 180 degrees. The value of angle EBF can be determine using the concept of sum of angles in a straight line as shown below.
m< EBC + m< ABE = 180
3y + 10 + 2y - 20 = 180
5y - 10 = 180
5y = 180 + 10
5y = 190
y = 190/5
y = 38
The value of m< EBF is calculated as follows;
Assuming equal division, m< EBF = m< ABE
m< EBF = 2y - 20
m< EBF = 2(38) - 20
m< EBF = 56⁰
Thus, the value of angle m< EBF is determined as 56⁰.
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Related Questions
Trying to get the right number possible. What annual payment is required to pay off a five-year, $25,000 loan if the interest rate being charged is 3.50 percent EAR? (Do not round intermediate calculations. Round the final answer to 2 decimal places.Enter the answer in dollars. Omit $sign in your response.) What is the annualrequirement?
Answers
To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.
The formula is: A = (P * r) / (1 - (1 + r)^(-n))
Where: A is the annual payment,
P is the loan principal ($25,000 in this case),
r is the annual interest rate in decimal form (0.035),
n is the number of years (5 in this case).
Substituting the given values into the formula, we have:
A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))
Simplifying the equation, we can calculate the annual payment:
A = 6,208.61
Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.
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Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the multiples of 4 between 20 and 40, inclusive The sample space is _______ (Use a comma to separate answers as needed. Use ascending order.) There are _____ outcome(s) in the sample space.
Answers
The sample space is 20, 24, 28, 32, 36, 40. There are 6 outcomes in the sample space. In this case, the sample space is {20, 24, 28, 32, 36, 40}.
The sample space of the probability experiment is the set of all possible outcomes that can occur when randomly choosing a number from the multiples of 4 between 20 and 40, inclusive.
To determine the number of outcomes in the sample space, we simply count the number of elements in the set. In this case, there are 6 outcomes in the sample space.
Therefore, the sample space is {20, 24, 28, 32, 36, 40} and there are 6 outcomes in the sample space. After Randomly choosing a number from the multiples of 4 between 20 and 40, these values are found.
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Factoring polynomials, Ill raise the amount of points for each question right
Answers
Answer: (k - 1) (9k^2 + 1)
What is the area of the parallelogram?
four hundred forty-four and three-eighths ft2
four hundred twenty-one and seven-eighths ft2
four hundred twelve and one-half ft2
four hundred five and one-half ft2
Answers
The area of the parallelogram is given as follows:
421 and 7/8 ft².
How to obtain the area of a parallelogram?The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:
A = bh.
The parameters for this problem are given as follows:
b = 22 and 1/2 ft = 45/2 ft.h = 18 and 3/4 ft = 75/4 ft.Hence the area is given as follows:
A = 45/2 x 75/4
A = 3375/8 ft².
A = 421 and 7/8 ft².
(3375 divided by 8 has a quotient of 7 and a remainder of 8, which is the reason for the mixed number notation).
Hence the second option is the correct option.
Missing InformationThe parallelogram is given by the image presented at the end of the answer.
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what is 266 divided by 14
Answers
Answer:
19
Step-by-step explanation:
A football team averaged a loss of 8 yards in each of 4 plays. If they did not gain any yards, what was the net yardage the team had after those 4 plays?
What is the answer?
Answers
The net yardage the team had after those 4 plays is -32.
How to calculate the value?From the information, the football team averaged a loss of 8 yards in each of 4 plays.
In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:
= Yards loss × Number of matches
= -8 × 4
= -32
This illustrates the concept of multiplication that was used to calculate the net yardage.
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can someone please help me and explain how to change 2x − 3y = 9
into slope intercept form
Answers
Answer:
y=2/3x-3
Step-by-step explanation:
first, you have to isolate the y, so subtract 2x from both sides. -3y=-2x+9
Next, we must divide all sides by -3, so y=-2/-3x-3
Finally, simplify the equation to y=2/3x-3
Answer:
y=mx+b
y=2/3x + -3
2/3 is the slope points are (0,-3)
Step-by-step explanation:
2x-3y =9
subtract 2x from each side leaving it -3y = -2x +9
now divide both sides by -3 -3y/-3=-2x/-3 +9/-3
y= 2/3+ -3
Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l?
Answers
Answer:
The slope of the perpendicular line will 1/3.
Step-by-step explanation:
Identify the domain and range of the function.
Answers
Answer:
Domain is all real numbers, and range is all integers. (D)
we deal five cards from a deck of 52 without replacement. let x denote the number of aces among the chosen cards. find the expected value of x.
Answers
As per the probability, the expected value of x is 2,598,960
The term probability in math is known as a number that reflects the chance or likelihood that a particular event will occur
Here we have given that we deal five cards from a deck of 52 without replacement. let x denote the number of aces among the chosen cards.
And we need to find the expected value of x.
As per the given question we know that,
Number of card in the deck = 52
Number of cards drawn = 5
And here let x denote the number of aces among the chosen cards.
As per the combination formula, it can be written as,
=> 52!/5!(52 - 5)!
When we simplify this one, then we get,
=> 52!/5! 47!
=> (52 x 51 x 50 x 49 x 48)/(5 x 4 x 3 x 2 x 1)
=> 13 x 27 x 10 x 49 x 24
=> 2,598,960
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Mary's rectangular table is 90cm and 100cm long. what is area,in cm2 of mary's table?
Answers
area is just length times width ! so u do 90 x 100 = 90,000cm^2 :)
what can you not find in mutually exclusive or dependent data
Answers
In mutually exclusive data, you cannot find any overlap or intersection between the categories or events being analyzed.
This means that the occurrence of one event or category precludes the occurrence of the other. On the other hand, in dependent data, the occurrence of one event or category may have an effect on the occurrence of the other, and thus, they are not completely independent or separate. Therefore, in both cases, you cannot find any shared or common outcomes or occurrences between the categories or events being analyzed.
You cannot find a direct correlation or causal relationship between mutually exclusive or dependent data. In mutually exclusive events, the occurrence of one event prevents the occurrence of the other, meaning they cannot happen at the same time. In dependent events, the probability of one event happening is influenced by the outcome of a previous event. Due to these characteristics, it is not possible to establish a direct correlation or causal relationship between such events.
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Increased by 75% is 35 ?
Answers
Answer:
20
Step-by-step explanation:
20 + (75% × 20) =
20 + 75% × 20 =
(1 + 75%) × 20 =
(100% + 75%) × 20 =
175% × 20 =
175 ÷ 100 × 20 =
175 × 20 ÷ 100 =
3,500 ÷ 100 =
35;
what is the expected number of wins for the month of november? (round your answer to two decimal places.)
Answers
the expected number of wins for the month of November is approximately 4.55.
To find the expected number of wins for the month of November, we first need to calculate the mean or expected value of the binomial distribution. We know that the probability of winning any given game is 0.3789, and there are 12 games in November.
Let X be the number of games won in November, then X follows a binomial distribution with parameters n = 12 and p = 0.3789.
The expected value of a binomial distribution is given by E(X) = np, where n is the number of trials and p is the probability of success in each trial. So, in this case, the expected number of wins for the month of November is:
E(X) = np = 12 x 0.3789 = 4.547
This means that, on average, we can expect the hockey team to win about 4 or 5 games in November, based on their historical win rate. However, it's important to note that this is just an average and there is always variability in the number of wins in any given month or season.
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Complete question is:
The probability that a certain hockey team will win any given game is 0.3789based on their 13 year win history of 391 wins out of 1032 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November.
What is the expected number of wins for the month of November? (Round your answer to two decimal places.)
F(k,l)=.75L+K
Q=1
draw the isoquant
Answers
An isoquant is a curve that represents all the various combinations of two factors of production that can produce a particular level of output. The formula for the given production function is
F(k,l)=.75L+K, where Q=1. Now, we will draw the isoquant for the given function.
The graph of the isoquant will be plotted with the help of two axes, K and L, where K represents capital, and L represents labor.
Steps to draw the Isoquant for the given production function F(k,l)=.75L+K:
Step 1: First, we need to assume a level of output, which is Q=1.Step 2: Substitute Q=1 in the production function F(k,l)=.75L+K, then rewrite it as 1=.75L+K.Step 3: Now, solve the above equation for K, which is K=1-.75L.Step 4: Use this K value and draw a graph with K on the x-axis and L on the y-axis.Step 5: Plot the curve by assigning different values to L, which will represent the various combinations of the capital and labor that can produce the same output of Q=1.Here's the graph of the Isoquant for the given production function:
F(k,l)=.75L+K where Q=1:
f(k, l) = 0.75L + Kf(k, l) = 0.75L + KQ = 1
Isoquant1 = 1; K = 1 - 0.75L0.75(4) + 1 = 1 + 0.75(0)1 + 0 = 0.75(3) + 1= 1 + 2.25
Isoquant0.75(1) + 1 = 1 + 0.75(2)0.75 + 1 = 1 + 1.5= 1 + 0.75(1)
Isoquant0.75(0) + 1 = 1 + 0.75(4)1 + 0 = 3
isoquant's graph indicates the various combinations of two factors of production, labor, and capital, that can produce a particular level of output, Q = 1.
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a coin is tossed 20 times. a person who claims to have extrasensory perception is asked to predict the outcome of each flip in advance. she predicts correctly on 14 tosses. what is the probability of being correct 14 or more times by guessing? does this probability seem to verify her claim? use the normal distribution to approximate the desired probability.
Answers
The probability that she makes correct guesses 14 times or more is 0.0582 and this probability does not seem to verify her claim
Number of tosses of coin n = 20
probability she guesses correctly p = 0.5
Probability she guesses incorrectly q = 1- p = 0.5
P(X < A) = P( z*σ + μ < A) = P(z < (A-μ)/σ) (1) ( ∵ we know z = x - μ/σ)
Mean = μ = np = 20 * 0.5 = 10
Standard deviation = σ
Standard deviation σ = √npq = √(20 *0.5*(1-0.5) = √5 = 2.236
Probability of being correct 14 times or more
P(X ≥ 14) = 1 - P(X < 13.5)
= 1 - P(Z < (13.5 - 10)/2.236) (using 1)
= 1 - P(Z < 1.57)
= 1 - 0.9418
= 0.0582
Here, the probability of getting 14 or more is 0.0582 and it is usually as the probability is more than 0.05. Thus this probability does not verify her claim
Problem based on normal distribution
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If Jenny had one apple and she added another apple to the basket how many apples would she have
Answers
Explained: 1+1=2 therefore she would have 69 apples hope this helped
Answer:
2 apples
Step-by-step explanation:
It is because she had 1 apple then she added another which made it 2.
2. If you can bake 15 cookies in 5 minutes, then how many cookies can you
bake in 32 minutes?
Answers
Pls help me !!!!!
Find the value of x. Then classify the triangle.
Answers
Answer:
6.
x = 13 isosceles
7.
x= 60 equilateral
Step-by-step explanation:
6.
154 + 13 = 167
180 - 167 = 13
x = 13 degrees
7. 180 / 3 = 60
Position vs Time The object represented by this graph is moving 12 10 O away from the origin at a constant velocity O away from the origin at a decreasing velocity O toward the origin at a constant velocity O toward the origin at a decreasing velocity 8 6 4 2 0 1 2 3 4. 5 Time (s)
Answers
As the line is staright without changes the velocity is constant, it is coming closer to the origin since the distance is decreasing as the time increases.
Answer:
the answer is c
Step-by-step explanation:
its just c
there are two important properties of probabilities. 1) individual probabilities will always have values between and . 2) the sum of the probabilities of all individual outcomes must equal to .
Answers
1.) Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.
2.) The sum of probabilities of all possible outcomes is equal to 1.
1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.
A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.
Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.
2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.
Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.
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Angles Y and V are supplementary. Angle Y measures(4x + 20). Angle V measures 48 degrees. Solve for X
Answers
Answer:
28
Step-by-step explanation:
Supplementary angles add up to 180
180 = Y + V
Sub in the values for Y and V
180 = 4x + 20 + 48
Rearrange and solve
4x = 112
x = 28
Find the ratio of 30 minutes to 15 hours. method needed.
Answers
Answer:
2.1
Step-by-step explanation:
Here we will simplify the ratio 30:15 for you and show you how we did it.
To simplify the ratio 30:15, we find the greatest common divisor of 30 and 15, and then we divide 30 and 15 by the greatest common divisor.
The greatest common divisor that you can use to simplify 30:15 is 15. Which means the answer to ratio 30:15 simplified is: 2.1
What is the volume?
11 in
17 in
8 in
Answers
there are 15 pieces in 3 building set. How many pieces are there in 8 building set?
Answers
Answer:
40
Step-by-step explanation:
why? because there are 5 pieces in each building set so 5×8=40 so the answer is 40
A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 888 Choose 1 answer:
Answers
The possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888, for the given one degree of freedom.
To find a 3rd degree binomial with a constant term of 888, we can start by writing the general form of a 3rd degree binomial: ax^3 + bx^2 + cx + d.
Since we want the constant term to be 888, we can set d = 888.
Now, we need to choose values for a, b, and c. We have one degree of freedom, so we can choose any values for a, b, and c as long as they satisfy the condition of being a 3rd degree binomial.
For example, let's choose a = 1, b = 2, and c = 3.
Therefore, a possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888.
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Change 1.6 kilometres to metres.
Answers
Step-by-step explanation:
1 kilometers = 1000 metre
1.6 km = 1.6 * 1000 metres = 1600 metres.
A person swims 11 miles downriver at the same time they can swim 7 miles upriver. The speed of the current is 4 miles per hour. Find the speed of the person in still water. Construct a rational equation to solve the problem above. Show your work and explain your answer.
Distance
Rate
Time
Upstream
x − c
Downstream
x+c
Answers
Answer: 6mph as it just is
Rectangle ABCD.
DC = 44.57
find EC
Answers
Step-by-step explanation:
zoom I'd - 9038735228 pwd -97cEeT join me for talk ...I m getting bored
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
Answers
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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