Evaluate for b
50 = -1/3b + 20
Answer:
50=−13⋅+20
Step-by-step explanation:
In the diagram, QS || PT
What is the length of QR?
Answer:
16
Step-by-step explanation:
The 10 numbers from 1 to 10 are split into two groups. The sum of the numbers in one group is N, and the product of the numbers in the other group is eggs. What is the largest possible value of 10
The largest possible value of 10 can be calculated using factorials and the largest value would be = 3628800
What are factorials?Factorials is defined as the mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that is n is given as 5, then it's factorial would be =5×4×3×2×1 = 120.
Factorials is used in mathematics or statistics to denote the possibilities of an event in an outcome.
The total numbers of the two groups = 10
The factorials of 10 = 10×9×8×7×6×5×4×3×2×1
= 3,628,800.
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Osborne invested $17,000 in stocks and bonds.
If he made a 10% profit on his stocks and a
7% profit on his bonds, and the combined profit
was $1,280, how much did Osborne invest in
stocks?
The amount that Osborne invested in stocks is $3000.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Let x be the amount invested in stocks and y be the amount invested in bonds.
Combined investment = $17,000
x + y = 17000 [Equation 1]
Profit from stocks = 10% = 0.1x
Profit from bonds = 7% = 0.07y
Combined profit = $1280
0.1x + 0.07y = 1280 [Equation 2]
We get two linear equations.
Solving this gives the values of x and y.
Multiplying [Equation 1] by 0.1, we get,
0.1x + 0.1y = 1700 Equation 3]
Subtracting [Equation 2] from [Equation 3], we get,
0.1y - 0.07y = 1700 - 1280
0.03y = 420
y = 14,000
Substituting y in [Equation 1],
x = 17,000 - 14,000 = 3000
Hence the amount invested in stocks is $3000.
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In multiple regression analysis, the correlation among the independent variables is termed _____. a. adjusted coefficient of determination b. collinearity c. linearity d. multicollinearity
In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.
Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.
If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.
Therefore, the option (d). multicollinearity is the answer
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______________________________ (three words) are a precise mathematical description of the semantics of an executing program.
Program State Model describes a precise mathematical description of the semantics of an executing program.
This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.
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Convert 2.8 gallons to pints
* Can you break it down step by step so I can get a better understanding
Answer:
2.8 Gallons to Pints is 22.4
Step-by-step explanation:
5 gal = (5 × 8) = 40 pt
notre prof de math vient de nous envoyer se travaille pour lundi je ne comprends rien sil vous plait aider moiii
Answer: f(2)=-10 f(-3)=15
Step-by-step explanation:
Let the number conceived be x.
Hence,
f(x)=(x+5)(-3)-2x+15
f(x)=-3x-15-2x+15
f(x)=-5x
Thus,
f(2)=(-5)(2)
f(2)=-10
f(-3)=(-5)*(-3)
f(-3)=15
PLEASE ANSWER ASAP!! WORTH 20 POINTS
A cab company charges a $4 boarding rate in addition to its meter which is $1.50 for every mile. Write a linear equation which models this. Use the equation to determine the total fare for a trip that is 2 miles, 3 miles and 5 miles.
Answer:
y = 1.50x+4
if x = 2
y = 7
if x = 3
y = 8.5
if x = 5
y = 11.5
Step-by-step explanation:
every mile(x) add 1.50 dollars to 4 dollars
6
18. Which angles are supplementary to 21? Which
are congruent to _1? SEE EXAMPLE 2
zalona, 6
1/2
3/4
5/6
7/8
Answer:
The angles supplementary to 1 are 2,3,6, and 7
The angles congruent to 1 are 4, 5, and 8
Step-by-step explanation:
Answer:
Angles supplementary to < 1: <2,3,6,and 7
Step-by-step explanation:
Write a story that can be represented using the equation y=x+1/5x
A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.
This can be illustrated as:
y = x + 1/5x
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I need help. The due date is April 21, 2021 11:00pm
3=y
2y + 2x = 8
The Options:
A. (1,3)
B. (3,1)
C. (0,8)
D. (2,2)
the marks on a biology final test are normally distributed with a mean of 78 and a standard deviation of 6. what is the probability that a class of 50 has an average score that is less than 77?
The probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.
To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, we have a population of marks on a biology final test that is normally distributed with a mean of 78 and a standard deviation of 6. We want to know the probability that a class of 50 has an average score that is less than 77.
Using the central limit theorem, we can calculate the standard error of the mean as follows:
standard error of the mean = standard deviation / square root of sample size
standard error of the mean = 6 / √50
standard error of the mean = 0.8485
Next, we need to calculate the z-score for a sample mean of 77:
z-score = (sample mean - population mean) / standard error of the mean
z-score = (77 - 78) / 0.8485
z-score = -1.18
We can use a standard normal distribution table or calculator to find the probability associated with a z-score of -1.18. The probability of a sample mean less than 77 is approximately 0.1190 or 11.90%.
Therefore, the probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.
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A sequence is defined by the function f(n) - f(n-1)-2 where n represents the number of the term for n>1 and f(1) = 2 what are the first four terms of the sequence?
Answer:
2
Step-by-step explanation:
Tom work for a company
hi normal rate of pay i £15 per hour
when tom work for longer than 7 hour per day he i paid for each hour he work more than 7 hour
tom rate of overtime pay per hour i 1 1/3
on monday tom work for 11 hour
work out the total amount of money that tom made on monday
If on Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.
As per the given data, the extra money he earns can be calculated as,
= [(11 - 7) × 15] × 13 + (7 × 15)]
= (4 × 15 × 13) + 105
= 780 + 105
= £885
Therefore, the amount of money is £885.
Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.
Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.
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\(\longmapsto\sqrt{64}\)
\( \sqrt{64} = 2 \times 2 \times 2 \times 2 \times 2 \times 2\)
\( \sqrt{64} = 2 \times 2 \times 2\)
\( \sqrt{64} = 8\)
# Answered by Cutest Ghost..An n-year loan involves payments of $800 at the end of each month. The interest rate is 12% convertible monthly. If the interest paid in the 45th monthly installment is $424.45, calculate the total amount of interest paid over the life of the loan.
The total amount of interest paid over the life of the loan is $1863.45.
The present value of the loan.
Since there are 12 months in a year, and the loan has n-years, there are 12n monthly payments.
Let's use the formula for the present value of an annuity due:
\(PV = PMT \times ((1 - (1 + r) ^(-n)) / r) \times (1 + r)\)
PV is the present value of the loan, PMT is the monthly payment, r is the monthly interest rate, and n is the number of months.
Substituting the given values, we get:
\(PV = \$800 \times ((1 - (1 + 0.12/12) ^(-12n)) / (0.12/12)) \times (1 + 0.12/12)\)
\(PV = \$800 \times ((1 - (1.01)^(-12n)) / 0.01) \times 1.01\)
\(PV = \$800 \times ((1 - 1.01^(-12n)) / 0.01) \times 1.01\)
\(PV = \$800 \times ((1 - 0.887^(-n)) / 0.01) \times 1.01\)
The formula for the interest paid in any given month of an annuity due:
\(I = PV \times r \times (1 + r) ^(m - 1)\)
I is the interest paid in the 45th month, PV is the present value of the loan, r is the monthly interest rate, and m is the month.
Substituting the given values for the 45th month, we get:
\(\$424.45 = PV \times 0.01 \times (1 + 0.01 )^(45 - 1)\)
\(\$424.45 = PV \times 0.01 \times (1.01)^4^4\)
\(PV = \$424.45 / (0.01 \times (1.01)^4^4)\)
PV =\(\$75799.45\)
Now that we know the present value of the loan, we can calculate the total amount of interest paid over the life of the loan.
Let's use the formula for the total interest paid in an annuity due:
\(Total interest = (PMT \times n \times (n + 1) / 2) - PV\)
Substituting the given values, we get:
Total interest = \((\$800 \times 12n \times (12n + 1) / 2) - \$75799.45\)
Total interest = \(\$9600n^2 + \$4800n - \$75799.45\)
We can solve for n by using the fact that the interest paid in the 45th month is $424.45:
\(\$424.45 = \$800 \times (n \times 12 - 44) \times 0.01 \times (1 + 0.01)^(45 - 1)\)
\(\$424.45 = \$800 \times (n \times 12 - 44) \times 0.01 \times (1.01)^4^4\)
n = 4.5
Substituting n = 4.5 into the formula for total interest, we get:
Total interest =\(\$9600 \times (4.5)^2 + \$4800 \times 4.5 - \$75799.45\)
Total interest = $1863.45
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NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven. What is the equation that models the total fee for using this cab company? Y+ x+
Answer:
y= 5 + 0.9x
Step-by-step explanation:
Giving the following information:
NYCab company charges an initial rate of $5.00 for a ride, plus $0.90 for each mile driven.
We need to structure the total cost formula:
y= total cost
x= miles driven
fixed cost= $5
Unitary variable cost= $0.9
y= 5 + 0.9x
The point where the graphs of two equations intersect
has y-coordinate 2. One equation is y=-3x + 5.
Find the other equation if its graph has a slope of 1.
Answer:
Y=X+1
Step-by-step explanation:
Y=2
Slope-intercept form=
Y=Mx +c
First equation
Y= -3x+5
Substituting y=2 in the first equation
2=-3x+5
3x=5-2
3x=3
x=3/3
x=1
Co-ordinates=(1,2)
Second equation
M(Gradient)=1
Y=Mx+c
To find c(Intercept)
2=1(1) +c
2=1+c
2-1=c
1=c
⇔c=1
Equation⇒
Y=Mx+C
Y=1(x) +1
Y=X+1
Proving the Single Opposite Side Pair Theorem
Try it
+Given: AD - BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ABCD is a parallelogram
ZDAC and BCA
are alt interior angles
A
B
Statements
V 1. AD BC
2. AD || BC
3. ACAC
4. ZDAC and BCA
are alt interior angles
5. ZBCA Z DAC
Reasons
1 given
2. Given
3. Reflexive property
4. Def. Of alt, interior angles
D
C
5. Alternate interior angles theorem
Hint
Intro
We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel.
1. AD ≅ BC, AD ║ BC . . . . given
2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem
3. AC ≅AC . . . . reflexive property
4. ΔDAC ≅ ΔBCA . . . . SAS postulate
5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC
6. AB ║ CD . . . . converse of alternate interior angles theorem
7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)
_____
We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and parallel. YMMV
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Given f(x)=3(x-1)(x-7) what is the minimum output value of the function
Answer:
-27
Step-by-step explanation:
f(x) = 3(x-1)(x-7)
= (3x-3)(x-7)
= 3x^2 - 24x + 21
when f(x) = 0, x = 7 or 1
x-intercept of vertix of the graph = (7+1 )/ 2 = 4
f(x) attains it's minimum when x = 4
The minimum output value = 3(4-1)(4-7) = -27
1. Find the slope of the line passing through the points (3,5) and (3, -6).
slope:
2. Find the slope of the line passing through the points (-6, 2) and (8,2).
slope:
please help
Question 1)
Given the points
(3, 5)(3, -6)Finding the slope between (3, 5) and (3, -6)
(x₁, y₁) = (3, 5)(x₂, y₂) = (3, -6)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-6 - 5] / [3 - 3]
= -11 / 0
= undefined or ∞
Thus, the slope of the line = m = undefined.
Note: The undefined slope means the line is vertical.
Question 2)
Given the points
(-6, 2)(8, 2)Finding the slope between (-6, 2) and (8, 2)
(x₁, y₁) = (-6, 2)(x₂, y₂) = (8, 2)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 2] / [8 - (-6)]
= 0 / 14
= 0
Thus, the slope of the line = m = 0.
Note: The zero slope means the line is horizontal.
How many nights must be booked so that the cost is the same?
Answer:
5
Step-by-step explanation:
its where the line matches up.
Answer:
5Step-by-step explanation:
????????????????????
What is -3(5x-1)=-27?
Answer:
2
Step-by-step explanation:
5x-1=9
5x=9+1
5x+10
x=2
Mrs. Riley recorded this information from a recent test taken by all of her students. Using the data, what was the average percent score for these $100$ students?
PLEASE HELP
Using the given data, the average percent score for the 100 students is 77\(\%\).
Average, also known as mean, is one of the measures of central tendency and is the ratio of the sum of all observations to the total number of observations. It is very useful to summarize a probability distribution.
Let the average percent score for the 100 students be N.
As it is known that the average is the ratio of the sum of all observations to the total number of observations, therefore:
\(N = \dfrac{100\times7+90\times18+80\times35+70\times25+60\times10+50\times3+40\times2}{100}\)
\(= \dfrac{7700}{100}\\= 77\)
Thus, the average percent score for the 100 students, using the given data is calculated as 77\(\%\).
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The complete question is as follows:
Mrs. Riley recorded this information from a recent test taken by all of her students. Using the data, what was the average percent score for these 100 students?
\(\%\) Score Number of students
100 7
90 18
80 35
70 25
60 10
50 3
40 2
A local kids play sold 8 adult tickets and 9 child tickets for a total of $205. On day two they sold only 4 adult tickets and 3 child tickets for a total of $83. What was the price of each kind of ticket?
Answer:
work is shown and pictured
a simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. what is the 99% confidence interval (z-score
The 99% confidence interval for the population mean time spent on the internet, in minutes, is given as follows:
(48.9, 59.5).
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 50 - 1 = 49 df, is t = 2.68.
The parameter values are given as follows:
\(\overline{x} = 54.2, s = 14, n = 50\)
Then the lower bound of the interval is given as follows:
\(54.2 - 2.68\frac{14}{\sqrt{50}} = 48.9\)
The upper bound of the interval is given as follows:
\(54.2 + 2.68\frac{14}{\sqrt{50}} = 59.5\)
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. State the definition of an essential singularity and provide
an example of a function that possesses an essential
singularity.
An essential singularity is a type of singularity in complex analysis where a function behaves in an extremely irregular manner near a particular point in the complex plane.
The function exhibits wild oscillations and does not have a well-defined limit as it approaches the singularity. The singularity is considered essential because it cannot be removed or "smoothed out" by any analytic transformation or modification of the function.
An example of a function that possesses an essential singularity is the function f(z) = e^(1/z), where z is a complex number. As z approaches zero, the function oscillates infinitely and does not converge to any specific value. The function e^(1/z) has an essential singularity at z = 0 because it cannot be expanded into a Laurent series with a finite number of terms. The singularity at z = 0 is not removable through any algebraic or analytic manipulations of the function. This example demonstrates the irregular and non-converging behavior near the essential singularity.
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what is the cost per equivalent unit for conversion costs using weighted average? select one: a. $4.48 b. $4.62 c. $4.34
The cost per equivalent unit for conversion costs using weighted average is $4.34.
To determine the cost per equivalent unit for conversion costs using weighted average, we need to consider the costs incurred during a specific period and divide it by the equivalent units of production.
The weighted average method takes into account the costs from the beginning inventory and costs incurred during the current period. It assigns a weight to the beginning inventory costs and a weight to the costs incurred during the period based on the number of units involved.
The formula for calculating the cost per equivalent unit using weighted average is:
Cost per equivalent unit = (Cost from beginning inventory + Cost incurred during the period) / (Equivalent units from beginning inventory + Equivalent units produced during the period)
To determine the specific value, we need the actual cost from beginning inventory, the cost incurred during the period, the equivalent units from beginning inventory, and the equivalent units produced during the period. Without this information, it is not possible to provide an exact answer. However, the correct answer among the options provided will be determined by calculating the cost per equivalent unit using the weighted average method.
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In the diagram, in which moon phase is marked with the X?
Answer:
THIRD-HALF PHASE IS MARKED WITH THE X.
Step-by-step explanation:
MARK ME AS A BRAINLIST PLZ
Answer: waxing gibbous