Answer:
The slope of a line is a measure of its steepness or incline. It is calculated by dividing the difference in the y-coordinates of two points on the line by the difference in their x-coordinates. In the case of the line (5,-9) and (5,2), the difference in the y-coordinates is -9 - 2 = -11 and the difference in the x-coordinates is 5 - 5 = 0. Since division by 0 is undefined, the slope of the line (5,-9) and (5,2) is undefined.
In general, when the x-coordinates of two points on a line are the same, the line is vertical and has no slope. This means that the line (5,-9) and (5,2) is a vertical line and has no slope.
The slope of a line is calculated as the rise over the run, which is the difference in the y-coordinates divided by the difference in the x-coordinates. In this case, the line has the same x-coordinate for both points, so the rise and run are both zero, and the slope is undefined.
Help, please!!!!! Major point for this assignment
Step-by-step explanation:
45° is an alternate angle with 5y+10. All alternate angles are equal. opposite sides of a parallelogram are equal, we equate to find x.
source: A tutor on another math app. (Brainly doesn't recognize the name)
What number should be added to both sides of the equation x−7=1 to solve for the value of x?
Answer:
7
Step-by-step explanation:
Three balls (labeled A, B, C) are placed into two different boxes (1 and 2), as in (Figure 1) . (Box 1 has 10 balls and Box two has 5) if all arrangements are equally likely, what is the probability that all three will be in box 1?
The probability that all three will be in box 1 will be [tex]\frac{1}{8}[/tex] or 0.125.
As per the given data the three balls which are labeled as A, B, C are placed into two different boxes of box 1 and box 2.
Box 1 has 10 balls and box two has 5, if all the arrangements are equally likely we have to determine the probability that all the three will be in box 1.
Formula for finding the probability:
Probability = The total number of outcomes ÷ The favorable number of outcomes.
The total number of outcomes:
= [tex]$${ }^3 C_3+{ }^3 C_2+{ }^3 C_1+{ }^3 C_0$$[/tex]
= 1+3+3+1
=8
The favorable number of outcomes:
= [tex]{ }^3 C_3[/tex]
=1
The probability that all the three will be in box 1:
= [tex]\frac{1}{8}[/tex]
= 0.125
Therefore the probability is [tex]\frac{1}{8}[/tex] or 0.125.
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4. Javier bought a microwave for $105. The cost
was 30% off the original price. What was the
price of the microwave before the sale?
The price of the microwave before sales is 350 dollars.
How to find the price of the microwave?Javier bought a microwave for $105. The cost was 30% off the original price. Therefore, the price of the microwave before sales can be calculated as follows:
let
x = price before sales(original price)
Therefore,
105 = 30% of x
105 = 30 / 100 × x
105 = 30x / 100
cross multiply
10500 = 30x
divide both sides by 30
10500 / 30 = 30x / 30
x = 350 dollars
Therefore, the original price is 350 dollars.
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In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25
Answer:b
Step-by-step explanation:
Lines q, r, s, and t are distinct lines in the same plane. Decide if lines q and t are parallel, perpendicular, or if there is not enough information given.
The lines q and t are, perpendicular to each other.
How to find if two lines are perpendicular to each other?If two lines are perpendicular to each other, then their slopes are negative reciprocal of each other. That means, if one line's slope is 'a', then its perpendicular line's slope would be -1/a
Noted that Parallel lines have the same slope, the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Given that Lines q, r, s, and t are distinct lines in the same plane.
IF the lines are;
q is perpendicular to r,
r is perpendicular to s
s is perpendicular to t
Then we can conclude that q is perpendicular to t
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A statistician wants to determine the relationship between typing speed, in words per minute, and the time, in minutes, it takes to type one page of a specific book. Twenty-five trials are completed and the correlation coefficient between typing speed and time is determined to be -0.622. Therefore, slower typing speed was related to greater time. How is the correlation affected if the units for time are changed from minutes to seconds?
Select one:
a. The correlation and time measurement would change proportionally to one another.
b. The correlation would stay the same because the change in units for time would have no effect on it.
c. The correlation would increase because changing the units for time would result in an increase in time values.
d. It is impossible to determine the amount of change experienced by the correlation.
e. The correlation would decrease because only the units for one of the variables changed.
Answer:
B
Step-by-step explanation:
The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It is calculated using a formula that takes into account the values of the two variables and their relationship to each other. This formula is not affected by changes in the units of measurement of either variable. Therefore, changing the units of time from minutes to seconds in this scenario would not affect the value of the correlation coefficient, so it would remain the same.
Option A, "The correlation and time measurement would change proportionally to one another," is incorrect because the correlation coefficient is not affected by changes in the units of measurement of either variable.
Option C, "The correlation would increase because changing the units for time would result in an increase in time values," is also incorrect because the correlation coefficient is not affected by changes in the actual values of the variables, only by the strength and direction of the relationship between them.
Option D, "It is impossible to determine the amount of change experienced by the correlation," is incorrect because, as explained above, the correlation coefficient is not affected by changes in the units of measurement of either variable.
Option E, "The correlation would decrease because only the units for one of the variables changed," is also incorrect because, as explained above, the correlation coefficient is not affected by changes in the units of measurement of either variable.
taken in 1992 15% of the oublic have responded to a tleepheone calll in poll in a random gorup of five people what is the probability that exactly two have resoinded to a call in poll
The probability that exactly two people out of a group of five have responded to a telephone poll is approximately 26%.
The probability that exactly two people out of a group of five have responded to a telephone poll can be calculated using the binomial distribution. The probability of a single person responding to a call in a poll is 15%, and the probability of a single person not responding to a call in a poll is 85%.
The probability of two people out of a group of five responding to a call in a poll can be calculated using the formula for the binomial probability mass function:
[tex]P(X=2) = (5 choose 2) * (0.15)^2 * (0.85)^3[/tex]
where (5 choose 2) is the binomial coefficient, which represents the number of ways to choose 2 people out of a group of 5.
Plugging in the values, we get:
[tex]P(X=2) = (10) * (0.15)^2 * (0.85)^3 = 0.2574[/tex]
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Help pls 50 ptssssssssssssss
Area of a square:
A = s², where s - side lengthWe have s = 6⁴, then the area is:
A = (6⁴)² cm²Or, apply the power of the power rule (xᵃ)ᵇ=xᵃᵇ to get:
A = 6⁸ cm²Is the line perpendicular?
The situation is based on football. One player starts a couple of yards in the endzone while the other starts at the 8-9 yard line. The player in the endzone almost scores when he is tracked down by the guy on the 8-9 yard line. So does the starting position of these players form a perpendicular line?
Yes, the starting position of these players form a perpendicular line.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Using Trigonometry
sin [tex]\theta[/tex] = 33.33/100
sin [tex]\theta[/tex] = 0.3333
[tex]\theta[/tex] = [tex]sin^{-1}[/tex] (0.3333)
[tex]\theta[/tex] = 19.469
cos 19.469 = B/ 100
0.9428 = B/ 100
B= 94.28
tan [tex]\theta[/tex] = P/B
tan [tex]\theta[/tex] = 94.28/ 33.33
[tex]\theta[/tex] = 70.5
Using Angle Sum property
< 3= 180 - (70.5 + 19.5)
<3 = 180 - 90
<3 = 90
Hence, they form perpendicular line.
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Identify the missing parts in the proof.
Given:
DB bisects ABC.
Prove: m
A:
B:
C:
D:
Answer:
Step-by-step explanation:c because I’m in college and Ik trust me
suppose that you are rolling a six sided dice. let a = get a roll that is even what is p(ac)?
If we are rolling a six-sided dice, where. a = get a roll that is even, then the value of [tex]$P\left(A^c\right)^$[/tex] will be 1/2
Option (c) is the correct choice.
As we know,
A dice has 6 faces on which 6 different numbers (1,2,3,4,5 and 6) are printed on each of the six faces of the dice.
Now, considering an unbiased die the probability of any of the faces appearing in a single roll is 1/6.
So, we can write it as:
P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6
Now that number to be even is 2,4,6
And for each individual number, the probability will be 1/6
So, the value of P(A) =P(2) + P(4)+ P(6)
= 1/6 + 1/6 +1/6 =3/6
P(Ac) = 1 - P(A) = 1 - ( 3/6 ) = 1/2.
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The complete question may be:
Suppose that you are rolling a six sided dice.
Let A= get a roll that is even
What is [tex]$P\left(A^c\right)^$[/tex] ?
(a) 1 / 3
(b) 1 / 4
(c) 1 / 2
(d) 1 / 6
Please help!!
In the diagram, ΔMTD ≅ ΔGLS . Which statement is true?
∠M ≅ ∠G
DT ≅ LG
DM ≅ SL
∠T ≅ ∠S
Answer:
∠M ≅ ∠G
Step-by-step explanation:
Given:
ΔMTD ≅ ΔGLSThis means that triangle MTD is congruent to triangle GLS.
Two triangles are said to be congruent if:
all three corresponding sides are equal.all three corresponding angles are equal.Therefore:
∠M ≅ ∠G∠T ≅ ∠L∠D ≅ ∠SSimilarly:
TM ≅ LGDT ≅ SLDM ≅ SGTherefore, the true statement is ∠M ≅ ∠G.
what is the appropriate task when data records are not in the desired sequence for processing or viewing?
When data records are not in any desired sequence for processing or viewing the appropriate task is to sort the contents in different fields.
Depending on the method employed, the data collection process may include several stages. Here are a couple such examples:
Data generation is the process of discovering and organizing facts in an orderly manner. This could be a manually generated document or data gathered from a source and easily fed into a computer using a data capture device such as a barcode scanner.
Data preparation is the process of converting data from a source document to a machine-readable format. This may not apply to all input devices. Data obtained by devices that take data directly in digital form do not require transcription.
Data transmission will determine whether or not data must be delivered to the central server using communication means.
Manual labor is time-consuming and dull, especially when doing repetitive tasks. Mechanical devices were developed to help in the automation of manual tasks. Typewriters, printing presses, and weaving looms are examples of mechanical devices. Initially, these devices were devoid of electronic intelligence.
Scientists have spent a long time investigating methods to build devices or technologies that would stimulate some type of human intellect during information and data processing. This was made feasible in part by the development of electronic programmable devices such as computers.
The development of microprocessor technology substantially boosted the efficiency and capability of data processing. Examples include computers, cellular (mobile) phones, calculators, petroleum pumps, modern television sets, washing machines, and other microprocessor-controlled devices.
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graph the curve. x = 3et cos(t), y = 3et sin(t), 0 ≤ t ≤ π
The graph of x = 3et cos(t), y = 3et sin(t), 0 ≤ t ≤ π is shown below.
In this question we have been given two curves x = 3e^t cos(t), y = 3e^t sin(t), 0 ≤ t ≤ π
We need to graph the given curves.
First we find find few coordinates.
For t = 0,
x = 3e^0 cos(0)
x = 3 * 1 * 1
x = 3
and y = 3 * e^0 * sin(0)
y = 3 * 1 * 0
y = 0
For t = π,
x = 3 * e^π * cos(π)
x = 3 * 23.14 * (-1)
x = -69.42
and y = 3 * e^π * sin(π)
y = 3 * 23.14 * 0
y = 0
For x = π/2
x = 3 * e^π/2 * cos(π/2)
x = 3 * 4.81 * 0
x = 0
and y = 3 * e^π/2 * sin(π/2)
y = 3 * 4.81 * 1
y = 14.43
So, we have the coordinates (3, 0), (-69.42, 0) and (0, 14.43)
The graph of x = 3et cos(t), y = 3et sin(t) is as shown below.
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Marg Cardo Started to depet P1000 Quarterly in A Fund that pay 5% compounded Quarterly. How much will be Hi Fund affec 7 year
-What Will be the Future
The right response is C. Only X-values inside the original data's range give meaning to the prediction values.
A statistical model that depicts the relationship between two variables is a regression line. It is utilized to forecast the value of a dependent variable depending on the value of an independent variable (independent variable).
The degree to which the regression line matches the data determines how accurate these forecasts are. For values of the independent variable that are similar to the values used to fit the model, the regression line will typically offer the most precise predictions. Prediction values therefore typically only have significance for X-values that fall within or very near the range of the original data set.
The predictions might not be correct if you use the regression line to construct them for independent variable values that are far outside the original data range. This is because, outside of the range of the data that was used to construct the model, the model may not effectively represent the connection between the two variables.
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In the figure below, ⎯⎯⎯⎯⎯⎯⎯⎯,⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯,
B
L
¯
,
A
M
¯
,
and ⎯⎯⎯⎯⎯⎯⎯⎯⎯
C
K
¯
are medians of △
△
A
B
C
. Which of the following statements is true.
Answer:
all of them are true except the last one ( no. e)
iq is normally distributed with a mean of 100 and a standard deviation of 15. a) suppose one individual is randomly chosen. find the probability that this person has an iq greater than 95. write your answer in percent form. round to the nearest tenth of a percent.
IQ is normally distributed with a mean and Standards deviations .
a) The probability that this person has an iq greater than 95 is 0.6306 or 63.1%
b) The probability that this person has an IQ less than 125 is 0.9522 or 95.2 %.
c) In a sample of 700 people, the number of people would have an IQ less than 110 is 598 people.
d)In a sample of 700 people, how many people would have an IQ greater than 140 is three in count.
We have normal distribution here with
Mean , u = 100
Standard deviations, s = 15
let X be random variable, X~ N(15, 100)
a) P(X > 95)
From Z- statistic, Z = (X - u) /s
Converting to standard normal variable,
P( X- u/sd <( 95 - u)/s)
P(Z > (95 - 100) / 15)
= P(Z > -0.3333)
Using standard normal tables, value of P(Z > -0.3333) = 0.6306
Therefore 63.1% is the required percentage here.
b) P(X < 125)
= P(Z < (125 - 100) / 15)
= P(Z < 1.6667)
Using standard normal tables,
= 0.9522
Therefore 95.2% is the required percentage here.
c) The probability here is computed as:
P(X < 110)
= P(Z < (110 - 100) / 15)
= P(Z < 0.6667 )
Using the standard normal tables,P(Z < 0.6667 ) = 0.7475
Therefore expected number of people:
= 800×0.7475
= 598
Therefore 598 is the required expected number of people here.
d) P(X > 140)
= P(Z > (140 - 100) / 15)
= P(Z > 2.6667)
Getting from standard normal tables,
= 0.0038
Therefore expected number of people here:
= 800×0.0038
= 3.04
Therefore 3 is the expected number of people here. Hence, we get the required probability for each case
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Complete question:
IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Suppose one individual is randomly chosen. Find the probability that this person has an IQ greater than 95. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ greater than 95) = % b) Suppose one individual is randomly chosen. Find the probability that this person has an IQ less than 125. Write your answer in percent form. Round to the nearest tenth of a percent. P (IQ less than 125) = % c) In a sample of 700 people, how many people would have an IQ less than 110? people d) In a sample of 700 people, how many people would have an IQ greater than 140? people
alex is x years old. june is 7 years older than alex. in 5 years, their total combined age will be 31 years. write a linear equation for their total combined age in 5 years
The linear equation for their total combined age in 5 years is 2x + 17 = 31.
Describe the term linear equation?A linear equation is indeed an algebraic expression of the form y=mx+b, where the slope is m and b is the y-intercept, and only a constant and the first-order (linear) term are included.Let the age of Alex be x years old.
Let the age of June be 'y'.
June is exactly 7 years older than Alex.
y = x+7
In next 5 years, combined total age will be of 31 years.
(x+5) + (y+5) = 31
Now, the linear equation that models total combined age in 5 years
Replace y with (x+7)
x + 5 + (x+7) + 5 = 31
2x + 17 = 31
Thus, linear equation for their total combined age in 5 years is 2x + 17 = 31.
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Commutative Property
8y-0.2y+0.5y+2.2+1.3-0.4
Step 1
Step 2
Step 3
Step 4
(8-0.2+0.5)+(2.2 +1.3-0.4)
(8y-0.2y+0.5y)+(2.2+1.3-0.4)
8y+2.2-0.2y+1.3+0.59-0.4
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
ANTTEM HERE
DRAG AND DROP
AN ITEMSHERIE
8.3y + 3.1
Associative Property Distributive Property
Reason
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
ANATEM HERE
Final Expression
Explanation
Reordering
Grouping
Factoring
Simplifying
The given Commutative Property is 8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4 by solving this property we get the answer as (8.3y + 3.1).
What is a commutative property?The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
What is associative property?According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. According to the question,
Steps involved are:-
ReorderingGroupingFactorizingSimplifyingSo,
8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4
= (8 - 0.2 + 0.5) y + (2.2 + 1.3 - 0.4)
= (8 + 0.5 - 0.2) y + (2.2 + 1.3 - 0.4)
= (8.5 - 0.2) y + (3.5 - 0.4)
= (8.3) y + 3.1
= (8.3y + 3.1)
Thus , by following all the steps and properties we get the obtained result.
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Solve this equation please .T-6= 13 for t
Answer:
[tex] \sf \: t = 19[/tex]
Step-by-step explanation:
Given equation,
→ t - 6 = 13
Now the value of t will be,
→ t - 6 = 13
→ t = 13 + 6
→ [ t = 19 ]
Hence, the value of t is 19.
determine whether the geometric series is convergent or divergent. 8 + 7 + 49 8 + 343 64 +
The given geometric series [tex]$\quad 8+7+\frac{49}{8}+\frac{343}{64}+\cdots$[/tex] is convergent in nature.
[tex]$\quad 8+7+\frac{49}{8}+\frac{343}{64}+\cdots$[/tex]
Since it is geometric series. (As it is given in the question)
A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.
Here the value of a=8, while the value of the common ratio [tex](r)=\frac{a_2}{a_1}=\frac{7}{8}=\frac{7}{8}[/tex]
since [tex]$|r|=\frac{7}{8} < 1$[/tex]
So the given series is convergent.
The sum of geometric series with infinite terms is equal to [tex]$\frac{a}{1-r}$$$[/tex]
Sum[tex]=\frac{8}{1-\frac{7}{8}}=\frac{8}{\frac{1}{8}}=64[/tex]
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2x=9 got no clue how to do it can i get a bit of help
(im not smart)
Answer:
x = 4.5
Step-by-step explanation:
2x = 9 ( isolate x by dividing both sides by 2 )
x = [tex]\frac{9}{2}[/tex] = 4.5
x~n(145, 13). find the z-score corresponding to an observation of 150.
The z-score for that condition is 0.38. To be exact, the z-score is 0.38461538461.
How to find the z-score?First we have to extract mean and standard deviation from x~n(145, 13) where mean (μ) = 145 and standard deviation(б) = 13. As per given corresponding to an observation(x) is directly given = 150 we can start to find the z-score with formula z-score = (x - μ) : б. So
z = (x - μ) : б.
z = [tex]\frac{150-145}{13}[/tex]
z = [tex]\frac{5}{13}[/tex]
z = 0.38461538461
Normally z written in 2 to 4 digit after decimal, so z-score = 0.38
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What symbols do I need for 5 23 18 8 4 to equal 10?
Arithmetic operations can be used to solve this question by using the topic of order of operations. We need to use × and - operators to get the correct answer.
How do we solve inequalities using Arithmetic operations?Many straightforward inequalities can be resolved by adding, taking away, multiplying, or dividing both sides until the variable is all that remains. However, these factors will shift the direction of inequality: Using a negative number to multiply or divide both sides. switching the left and right sides. When resolving an inequality, you can do one of the following:
• Add the same amount to each side;
• Subtract the same amount from each side;
• Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide each side by a negative number.
Calculation:5 x (23-18) x (8-4)=100
So we can subtract 23 from 18 where we will get 5 and by subtracting 4 from 8 you will get 4. By multiplying the numbers using × operator you will get the final answer.
Arithmetic operations can be used to solve this question by using the topic of order of operations. We need to use × and - operators to get the correct answer.
Arithmetic operations can be used to solve this question by using the topic of order of operations. We need to use × and - operators to get the correct answer.
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please help were learning about solving logarithmic equations
2^x + 2^-x = 2
Answer: 0 = 2
Step-by-step explanation:
First you need to multiply the numbers:
2x + 2(-x) = 2
2x - 2x = 2
Combine the like terms:
2x-2x = 2
So, 0 = 2
Help! will mark brainlies!
Answer: x = 9
Step-by-step explanation:
Let's start with what we know. We know that the sum of all angles is 180 so:
13x + 2 + 3x - 4+ 5x - 7 = 180
21x - 9 = 180
21x = 189
Divide by 21 on both sides:
x = 9
If she purchases 700 shares for $45 per share what would be her annual income be from dividends?
Answer:3.33%
Step-by-step explanation:
Her annual income will be 3.33%
The area of a right triangle is dirctly proportional to the
base of the triangle. The area of a triangle is 42 square
units for a base length of 12 units. Find the area of a triangle
having a base of 10 units.
If the base length of the triangle is 10 units. Then the area of the triangle will be 35 square units.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The region of a right triangle is straightforwardly relative to the foundation of the triangle. The region of a triangle is 42 square units for a base length of 12 units.
The proportionality is given below.
A ∝ b
A = kb
Where A is the area, b is the base length, and k is the constant.
The ratio of Area to base length remains constant.
If the base length of the triangle is 10 units. Then the equation is given as,
A / 10 = 42 / 12
Simplify the equation, then we have
A / 10 = 42 / 12
A = 35 square units
If the base length of the triangle is 10 units. Then the area of the triangle will be 35 square units.
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What is the simplest form of this expression? (X - 4) (x^2 +3x -5)
The simplest expression is x³ - x² - 17x + 20.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(x - 4) (x² + 3x - 5)
x³ + 3x² - 5x - 4x² - 12x + 20
x³ - x² - 17x + 20
Thus,
The final expression is
x³ - x² - 17x + 20
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