Answer:
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Step-by-step explanation:
From the figure, it is clear that:
m∠KIH = m∠HIJ + m∠KIJ
Given
m∠KIH = 68°m∠KIJ = (2x + 6)°m∠HIJ = (9x - 4)°now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation
m∠KIH = m∠HIJ + m∠KIJ
68° = (2x + 6)° + (9x - 4)°
switch sides
\(\left(2x+6\right)+\left(9x-4\right)=68\)
Group like terms
\(2x+9x+6-4=68\)
\(11x+2=68\)
Subtract 2 from both sides
\(11x+2-2=68-2\)
Simplify
\(11x=66\)
Divide both sides by 11
\(\frac{11x}{11}=\frac{66}{11}\)
Simplify
\(x=6\)
Hence, the value of x = 6
Therefore,
m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°
m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Use a combination to answer the following question.
The track coach needs to higher three managers for the track team. If ten students applied for the positions,
How many ways can the coach select three managers from 10 students?
n=
r=
Answer:
(answer with no comas or decimals)
Answer:
120 POSSIBLE COMBINATIONS
Step-by-step explanation:
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(question in attachment below)
Step-by-step explanation:
3x2+1=0
3x2=1
3×2÷3=1÷3
×^2=0.33
×=√0.33
17. A fair 6-sided cube has a different color on each side - red, blue, green, orange, lavender,
and yellow. If Alex, Jaime, and Kim all roll the dice once, what is the probability that they all
end up lavender.
The probability that they all end up lavender is 1/216
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it is equivalent to 100% in percentage.
Probability = sample space /total outcome
The sample space for lavender on the die is 1
Therefore probability that Alex will see lavender = 1/6
probability that Jaime will see lavender = 1/6
probability that Kim will see lavender = 1/6
Therefore probability that they all end up in lavender = 1/6 × 1/6 × 1/6 = 1/216
Therefore for Kim, Jaime, and Alex to all have a lavender , the probability = 1/216
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Just in case you can't see what is says it says Which point has coordinates (1,-5)
A B C D please help me
Answer:
D
Step-by-step explanation:
the x value = 1 so move to the right 1 mark on the graph and since y = -5 you move down 5 marks on the graph and you get you answer
hope this helps!
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have a great day!
Harry can read 40 pages in 25 minutes. How many pages can he read in 1 1/2 hours
Answer:
144
Step-by-step explanation:
40 pages- 25 mins
1.6 pages- 1 min
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Which equation results from adding the equations in this system? (Negative 6 x + 4 y = negative 8) and (6 x minus 12 y = 14.) Negative 16 y = 6 Negative 8 y = 6 Negative 8 y = negative 22 Negative 16 y = negative 22
Answer: Negative
- 8y = 6
Step-by-step explanation:
-6x + 4y = -8
6x - 12y = 14
--------------------------
- 8y = 6
Paul needs to find 310% of 72. Which expression should he use?
Step-by-step explanation:
310/100 × 72
= 223.2
using fraction × total
hope you understand.
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Nina works at Sweet Smoothies. She uses 3/4 of a cup of crushed ice in each smoothie. When Nina starts her
shift, there are 24 cups of crushed ice in the ice maker. How many smoothies can she make with thatice
Answer:
32
Step-by-step explanation:
F(k,l)=.75L+K
Q=1
draw the isoquant
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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Which of the following are true? false? Explain or give examples. (a) The median and the average of any list are always close together. (b) Half of a list is always below average. (c) With a large, representative sample, the histogram is bound to follow the normal curve quite closely. (d) If two lists of numbers have exactly the same average of 50 and the same SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists .
The given statement "histogram is bound to follow the normal curve quite closely and the percentage of entries between 40 and 60 must be exactly the same for both lists." are True. As large representative sample follows normal curve and mean and standard deviation is approx 68%. So, the correct answer true is C), D) are true and A), B) are false.
The median and the average of any list are not always close together.
The median is the middle value in a list when the list is sorted in ascending or descending order, while the average (also called the mean) is the sum of all the values divided by the number of values.
For example, consider the following list
1, 2, 3, 4, 100
The median is 3, while the average is (1+2+3+4+100)/5 = 22.
In this case, the median and the average are not close together at all, since the median is much smaller than the average. So, this statement is false.
Half of a list is not always below average.
This statement is only true if the list is sorted in ascending or descending order. In that case, if the list has an odd number of values, then the median (which is the middle value) is equal to the average. If the list has an even number of values, then the median is the average of the two middle values.
However, if the list is not sorted, then it is possible for more than half of the values to be above the average.
For example, consider the following list
1, 1, 1, 1, 100
The average is 20, but only 2 out of the 5 values are below the average. The given satement is False.
With a large, representative sample, the histogram is likely to follow the normal curve quite closely.
This statement is true, according to the Central Limit Theorem. The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the mean will be approximately normal, regardless of the shape of the population distribution.
For example, if we take a large number of random samples of the same size from a non-normal population (such as a uniform distribution), then the histogram of the sample means will eventually approximate a normal distribution.
If two lists of numbers have exactly the same average of 50 and the same SD of 10, then the percentage of entries between 40 and 60 must be exactly the same for both lists.
This statement is true, since the percentage of entries between 40 and 60 can be calculated using the standard normal distribution.
The z-score for 40 is (40-50)/10 = -1, and the z-score for 60 is (60-50)/10 = 1.
Using a standard normal distribution table or a calculator, we can find that the percentage of values between -1 and 1 is approximately 68%. Therefore, if both lists have the same mean and the same standard deviation, then the percentage of values between 40 and 60 must be 68% for both lists.
So, the correct option for true are C), D) and A), B) are false.
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gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 25 feet high?
Below is the answer
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How many possible outcomes do you have when you role 4 dice
Answer:
1296
Step-by-step explanation:
6^4
Consider the following primal problem:
Maximize
subject to:
z=7x
1
−5x
2
−2x
3
x
1
−x
2
+x
3
=10
2x
1
+x
2
+3x
3
≤16
3x
1
−x
2
−2x
3
≥−5
x
1
≥0,x
2
≤0,x
3
unrestricted in sign
Write down the dual problem of the above primal problem.
The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.
The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.
In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.
To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.
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In ΔKLM, k = 530 cm, l = 200 cm and m=500 cm. Find the measure of ∠L to the nearest degree.
The measure of ∠L to the nearest degree is 22° (approx).
What are the laws of cosines?The square of any one side of a triangle is equal to the difference between the sum of the squares of the other two sides and double the product of the other sides and the cosine angle contained between them, according to the law of cosine.
Given ΔKLM,
k = 530 cm, l = 200 cm, and m = 500 cm,
to find the angle L,
we can calculate it by cosine law,
according to the cosine law,
l² = k² + m² - 2kmcosL
cos(L) = (k² + m² - l²)/2km
2km = 2*530*500
2km = 5,30,000
k² + m² - l² = (530)² + (500)² - (200)²
k² + m² - l² = 4,90,900
substitute the values
cos(L) = (k² + m² - l²)/2km
cos(L) = 4,90,900/5,30,000
cos(L) = 0.92622
L = cos⁻¹(0.92622)
L = 22.1459°
L = 22° (approx)
Hence the measure of angle L is 22° (approx).
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On a recent trip to The Apple Pan, Bob and Sally spent $19.75 on two steakburgers and three orders of tries. On another
trip, they spent $24 on three steakburgers and two orders of fries. What is the cost of each?
Answer:
each steak burger costs $6.50
each order of fries costs $2.25
Assume that two relations Rand S are union-compatible. Which of the following statements is NOT true? a. Rand S must have the same number of attributes b. The difference operation ( - ) in relational algebra can be performed on Rand S c. Rand S must have the same number of tuples d. The domain of the i-th attribute of R must be the same as the domain of the i-th attribute of S
The answer that is NOT true when two relations Rand S are union-compatible is: Rand S must have the same number of tuples.
What is a relation?A relation is a set of attributes that describe a set of entities (or elements). The union-compatible operation allows you to combine two relations into one with the same attribute set.
The union-compatible operation is performed on two relations that have the same number of attributes and the same domain in each attribute. The union-compatible operation is sometimes known as the union operation.
Assume that two relations Rand S are union-compatible. Then it implies that both relations have the same number of attributes and the domain of the i-th attribute of R must be the same as the domain of the i-th attribute of S.
Thus, the correct option is D and A i.e.
"The domain of the i-th attribute of R must be the same as the domain of the i-th attribute of S".
In relational algebra, the difference operation (-) is used to find the differences between two relations. When two relations R and S are union-compatible, then we can perform the difference operation. Hence, option (b) is true. But option (c) is false as there is no compulsion that two relations Rand S must have the same number of tuples.
Note: The union-compatible operation is one of the three basic operations of relational algebra that includes the selection operation and the projection operation.
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Find the value of X that makes S|| T
(4x+16)
(7x-20)
Answer:
Step-by-step explanation: In order for two lines to be parallel, they must have the same slope. Therefore, to find the value of x that makes the lines (4x+16) and (7x-20) parallel, we need to set the slopes equal to each other and solve for x.
The slope of a line is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line.
For the line (4x+16), we can use the points (0,16) and (1,4) to find the slope:
m = (4 - 16) / (1 - 0) = -12
For the line (7x-20), we can use the points (0,-20) and (1,7) to find the slope:
m = (7 - (-20)) / (1 - 0) = 27
Since the slopes of the lines are not equal, the lines are not parallel. Therefore, there is no value of x that will make the lines parallel.
Question Which of the following correctly gives the Cartesian form of the parametric equations &(t) = 4t – 2 and y(t) = Vt – 3 for t > 0? es Select the correct answer below: 2= 4y2 + 24y + 34 og x
the correct option would be the one that matches this equation: 2 = 4y^2 + 24y + 34
To convert the given parametric equations x(t) = 4t - 2 and y(t) = Vt - 3 into Cartesian form, we eliminate the parameter t to express y in terms of x.
From the equation x(t) = 4t - 2, we solve for t:
t = (x + 2) / 4
Now, substitute this value of t into the equation y(t) = Vt - 3:
y = V((x + 2) / 4) - 3
y = V(x + 2) / 4 - 3
Simplifying the expression, we can multiply both the numerator and denominator by V to rationalize the denominator:
y = (V(x + 2) - 12) / 4
y = Vx / 4 + (2V - 12) / 4
y = (V/4)x + (2V - 12) / 4
So, the Cartesian form of the parametric equations is y = (V/4)x + (2V - 12) / 4.
Among the given answer choices, the correct option would be the one that matches this equation:
2 = 4y^2 + 24y + 34
Please note that I have substituted the symbol V for the square root (√) as it may have been a formatting issue in the question.
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Express 1/10 cm as a fraction of 3 metres
Answer:
1/3000
Step-by-step explanation:
3 meters to centimeters:
3 × 100 = 300
= 1/10 ÷ 300
= 1/10/300
= 1/(10×300)
= 1/3000
the lengths, in inches, of adult corn snakes are normally distributed with an unknown population mean and standard deviation. if a random sample of 45 snakes is taken to estimate the mean snake length, what t-score should be used to find a 99% confidence interval estimate for the population mean?
The t-score that should be used to find a 99% confidence interval estimate for the population mean is given as follows:
t = 2.6923.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 45 - 1 = 44 df, is t = 2.6923.
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Can someone help me with this please? :')
Answer:
Below
Step-by-step explanation:
Second choice at x = 0 it is = 6
and as the exponent (x) gets more negative it gets larger meaning it has a coefficient of < 1 ( it is 3/4)
A CPA was engaged to calculate the rate of return on a specified investment according to an agreed-upon formula and verify that the resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain
After considering the given data and carefully evaluating the given circumstances we conclude that the satisfactory answer to the given question is Option D.
According to Certified Public Account (CPA) Canada, the agreed-upon and fulfillment system regarding the procedures report must comprises identification and explanation of the various parties involved in the AUP engagement.
The report on an engagement places of applying agreed-upon procedures must have a statement of restrictions on the use of the report due to its cause of being used solely by the specified parties.
Hence, the answer is D) A disclaimer of responsibility for the sufficiency of these procedures.
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The complete question is
A CPA was engaged to calculate the rate of return on a specific investment according to an agreed-upon formula and verify that resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain:
Multiple Choice
A) A disclaimer of opinion on the fair presentation of the financial statements.
B) An opinion about the fairness of the agreed-upon procedures,
C) A separate paragraph describing the effectiveness of the internal controls.
D) A disclaimer of responsibility for the sufficiency of these procedures.
5 Anders made a mistake while writing 4,050,000 in scientific notation.
His work is shown. What error did Anders make? What is the
correct answer?
The correct answer when writing 4,050,000 in scientific notation is 4.05 x 10^6.
What is Scientific Notation?When a number is too big or too tiny to be comfortably represented in decimal form, scientific notation is used to avoid having to write out an exceptionally long string of digits.
When writing 4,050,000 in scientific notation, certain commonly occurring errors can lead to incorrect results. These include forgetting to shift the decimal point leftwards until only one non-zero digit exists to its left; an elongated six-place movement is necessary here. '
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Please help with math ASAP, will give brainliest!!
Answer:
45
60
135
150
Step-by-step explanation:
Remember:
1 radian is 57.3 degrees
Does an X or y-axis scale have to always start at zero?.
No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero
Define axis.A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.
Given,
No, X or y-axis scale does not have to always start at zero.
A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.
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Suppose you know the minimum, lower quartile, median, upper quartile, and maximum values for a set of data. Explain how to create a box plot for the data set.
Answer/Step-by-step explanation:
First create a range for the number line. Label the number line. Then plot the minimum, lower quartile, median, upper quartile, and maximum values in this order. Draw a box from the lower quartile to the upper quartile, the line in the middle will go at the median. Now draw the line from the minimum & maximum values to the box.
Answer: First create a range for the number line. Label the number line. Then plot the minimum, lower quartile, median, upper quartile, and maximum values in this order. Draw a box from the lower quartile to the upper quartile, the line in the middle will go at the median. Now draw the line from the minimum & maximum values to the box.
Step-by-step explanation:
at the end of term, a professor notes that most students in his class earned a grade of b. which measure of central tendency is used in this example? range mean mode median
The measure of central tendency that is used by the professor is; Mode
How to find the measure of Central Tendency?A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;
1) Mean; This is defined as the average value of a given set of data.
2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.
3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.
In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.
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PLSSS ANSWER WITHEN THE NEXT 30 MIN THANK YOU
A pet show offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
The percentage the total amount saved on Chris's new pets was 45% of the total of their original prices.
What is the percentage?
In mathematics, a percentage is a statistic or ratio that may be expressed as a fraction of 100. To find the percentage of a number, divide it by its total and multiply by 100. As a result, the percentage represents one part in a hundred. The term percent stands for one hundred percent. It is represented by the symbol "%".
Here are some instances of percentages:
10% is one-tenth of a fraction.
20% is one-fifth of a share.
25% is divided into quarters.
Now,
Given that A pet show offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount.
so, price of iguana after discount is =80-40*80/100
=$48
price of parakeet after discount=40-40*55/100
=$18
then, The total amount saved on Chris's new pets=120-64=$54
percentage of amount saved to original price=54/120*100
=9/2*10
=9*5
=45%
Hence,
The percentage the total amount saved on Chris's new pets was 45% of the total of their original prices.
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In which number does the 6 have a value that is 10 times greater than its value in 65?
Answer:
D
Step-by-step explanation:
6*10 = 60 so which answer choice has a 60 in and that will be D.
The value of 6 in 684.27 is 10 times greater than its value in 65.
Given a number and are asked to determine in which value of the number the digit 6 has a value that is 10 times greater than its value in the number 65.
Let's represent the unknown number where the digit 6 has a value that is 10 times greater than its value in 65 as "AB6CD," where A, B, C, and D are digits in the thousands, hundreds, tens, and units places, respectively. The number 65 can be represented as "00605," where the digit 6 is in the tens place. Now, we'll compare the two numbers to find the value of the digit 6 in each.
1. The number "AB6CD":
The value of the digit 6 in "AB6CD" is 6 × 10¹
(10 times greater than its value in 65).
2. The number "00605":
The value of the digit 6 in "00605" is 6 × 10⁰ (its actual value in 65).
Now, we can set up an equation to solve for "A," "B," "C," and "D" in "AB6CD":
6 × 10¹ = 10 × (6 × 10⁰)
Simplifying the equation:
6 × 10¹ = 60
Now, let's find the value of "A," "B," "C," and "D":
A = 6
B = 0
C = 0
D = 0
Therefore, the number is 6000. Now, we need to choose the correct answer from the given options:
a) 302.16
b) 498.623
c) 684.27
d) 760.14
Among the options, the only number that matches our result of 6000 is option c) 684.27.
Hence, the correct answer is option c) 684.27. The value of 6 in 684.27 is 10 times greater than its value in 65.
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Dakota earned $8.75 in interest in Account A and $28 in interest in Account B after 21 months. If the simple interest rate is 3% for Account A and 4% for Account B, which account has the greater principal?
so B should be the answer
Step-by-step explanation:
account a would have 16.42 in their account after 21 months and b would have 64.77 after 21 months also