The location of two ordered pairs that lie along the line. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To write the equation of a line we need two at least two ordered pairs that lie along the line
By using two ordered pairs, we can find slope of a line
The formula to find the slope of a line is (y2-y1)/(x2-x1)
Using the slope and one ordered pair we can find y-intercept
By substituting slope(m) and y-intercept(c) in y=mx+c, we get equation of line.
Therefore, option B is the correct answer.
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angeliquw is buyinh towels for her aparetment. she finds some green twowels that cost $8 each and bule towels that cost 10$ each. many of each towel can she purchase?
She can purchase 3 blue towels and 5 green towels.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units
Let's say you go to the store to buy six apples.
You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.
We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
8 x 5 = 40
10 x 3 = 30
40 + 30 = 70
Hence, She can purchase 3 blue towels and 5 green towels.
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he time in minutes) between arrivals of customers to a post office is to be modelled by the Exponential distribution with mean 0.59. Please give your answers to two decimal places.
Parta)
What is the probability that the time between consecutive customers is less than 15 seconds?
Part b)
Find the probability that the time between consecutive customers is between ten and fifteen seconds.
Part c)
Given that the time between consecutive customers arriving is greater than ten seconds, what is the chance that it is greater than fifteen seconds?
the probability that the time between consecutive customers is less than 15 seconds is 0.4327
Mean u=0.59
We are supposed to find the probability that the time between consecutive customers is less than 15 seconds
u=1/λ
0.59min=1/λ
0.59*60=1/λ
λ=1/0.59*60
λ=0.02824
The cumulative distribution function is used to describe the probability distribution of random variables.
The cumulative distribution function :P(X≤x)=F(x)=1-e^-λx
We are supposed to find the probability that the time between consecutive customers is less than 15 seconds
P(X≤15)=F(15)=1.e^-0.02824*15
P(X≤15)=F(15)=0.4327
Hence the probability that the time between consecutive customers is less than 15 seconds is 0.4327
The probability that the time between consecutive customers is between ten and fifteen seconds is 0.9000.
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In the figure, if AD=DB, what is the length pf DE?
a. 6
c. 9
b. 9 √2
d. 12
In triangle ABC, where AD = DB , BC = 18 units then length of DE is equal to 9 units.
As given in the question,
In the given triangle ABC,
BC = 18 units
AD = DB
⇒ 'D' is the mid-point of AB.
From the given figure of triangle ABC,
DE is parallel to BC.
⇒E is the midpoint of AC.
Using mid-point theorem,
'D' and 'E' are midpoint of AB and AC and parallel to the opposite side BC then DE is half the measure of BC.
DE = ( 1/2) BC.
⇒ DE = ( 1/2) (18)
⇒ DE = 9 units
Therefore, in the given triangle ABC, the length of DE is equal to 9 units.
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Refer to the Johnson Filtration problem introduced in this section. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow.
Repair Time
in Hours
2.9
3.0
4.8
1.8
2.9
4.9
4.2
4.8
4.4
45
Months Since
Last Service
2683279846
Type of Repair
Electrical
Mechanical
Electrical
Mechanical
Electrical
Electrical
Mechanical
Mechanical
Electrical
Electrical
Repairperson
Dave Newton
Dave Newton
Bob Jones
Dave Newton
Dave Newton
Bob Jones
Bob Jones
Bob Jones
Bob Jones
Dave Newton
Get solutions
a. ignore for now the months since the last maintenance service ( ) and the repairperson who performed the service. develop the estimated simple linear regression equation to predict the repair time () given the type of repair ( ). recall that if the type of repair is mechanical and if the type of repair is electrical (to 2 decimals). time
b. Does the equation that you developed in part (a) provide a good fit for the observed data? Explain
c. Ignore for now the months since the last maintenance service and the type of repair associated with the machine. Develop the estimated simple linear regression equation to predict the repair time given the repairperson who performed the service. Let x3 = 0 if Bob Jones performed the service and x3 = 1 if Dave Newton performed the service.
d. Does the equation that you developed in part (c) provide a good fit for the observed data? Explain
The fitted regression model is y = 0.96+0.38x1 + 1.27 x2, and Fitted regression model is y = 1.87+0.29x1 + 1.11 x2 -0.61 x3.
a) simple linear regression equation is y=a+bx1+cx2
last maintenance service (x1), repair time (y) given the type of repair (x2).
If x2 = 0 if the type of repair is mechanical and 1 if the type of repair is electrical. The Fitted regression model is y = 0.96+0.38x1 + 1.27 x2
b) Since R2 is 0.84.hence we say that x1 and x2 are 84% variation on. Hence we conclude that the above equation is best fit for the data.
c) simple linear regression equation is y=a+bx1+cx2+dx3
last maintenance service (x1), repair time (y) given the type of repair (x2).
If x2 = 0 if the type of repair is mechanical and 1 if the type of repair is electrical. and x3 = 0 if Bob Jones performed the service and x3 = 1 if Dave Newton performed the service.
The Fitted regression model is y = 1.87+0.29x1 + 1.11 x2 -0.61 x3
d) Since R2 is 0.89.hence we say that x1 and x2 are 89% variation on y. Hence we conclude that the above equation is best fit for the data. compare to part (b).
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cash received from long-term notes payable $ 67,000 purchase of investments 16,900 cash dividends paid 54,200 interest paid 27,100 compute cash flows from financing activities using the above company information. (amounts to be deducted should be indicated by a minus sign.)
cash dividends paid that should be recorded in the financing section of the statement of cash flow is $ 148300
With regards to the above, information, the amount of cash dividends paid that should be recorded is computed as;
= Cash dividends payable at the beginning of the year + Cash dividends declared for the year - Cash dividends payable at the end of the year
= $27,100 + $67,000 - $54,200
= $ 148 300
Therefore, cash dividends paid that should be recorded in the financing section of the statement of cash flow is $ 148300
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soccer team and American football team are sharing a field for practice. soccer team practices every 18 days and American football team practices every 30 days. how many days from now will they practice together
Answer:
90
Step-by-step explanation:
First, we would need to figure out the multiples of 18.
18, 36, 54, 72, 90, 108, 126, 144, 162, 180.
Now, let's figure out the multiples of 30.
30, 60, 90, 120, 150, 180.
The numbers match up! This means that in 90 days the soccer team and football team will practice together, and the same happens on day 180.
Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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Sorry I’m slow I need my mathematicians. If I make $11 and hour work 9 hours Sunday-Friday and get paid bi weekly how much would my check be?
Your's check would be $198 for two weeks with 9 hours of work from Sunday-Friday.
Word problems:In a word problem, the mathematical operations are written in text format. To solve such a problem, the text should be understood and simple basic arithmetic operations are applied.
Calculation:It is given that,
He/She makes $11 for 1 hour and works for 9 hours from Sunday to Friday.
For 9 hours of work, he/she gets, $11 × 9 = $99
Then, for two weeks, the payment = $99 + $99 = $198
So, he gets a biweekly check with $198.
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assume that x is uniformly distributed on [0,3]. using the central limit theorem, find the shortest interval (around hn) that has 95% probability of containing the true value of h. (such an interval is known as 95% confidence interval for h).
The probability density function (pdf) for the uniform distribution has the basic formula: f(x) = 1/ (B-A) for A x B.
A continuous probability distribution, the uniform distribution is concerned with equally likely outcomes. It is referred to as having a rectangular distribution on the interval [a,b] or having a uniform distribution for the continuous random variable X. Above is a representation of the probability density function of a continuous uniform distribution. The probability of drawing a heart, club, diamond, or spade is equally likely; hence, the area under the curve is 1, which makes sense given that the total of all probabilities in a probability distribution is 1.
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True or false (show work)
1. 25% of 512 is equal to 1/4 x 500
2. 90% of 133 is equal to 0.9 x 133
3. 30% of 44 is equal to 3% of 440
4. The percentage 21 is 28 is equal to the percentage 30 is of 40
The first statement is false and the rest of the options are true.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
1. 25% of 512 is equal to 1/4 x 500, false due to 500.
2. 90% of 133 is equal to 0.9 x 133, true because 90% is equal to 0.90.
3. 30% of 44 is equal to 3% of 440, true because the value of both is the same.
4. The percentage of 21 is 28 is equal to the percentage of 30 is 40, true because the percentage of both cases is identical.
The first statement is false and the rest of the options are true.
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3x+2y=20 and y+3x=10
Answer:
Step-by-step explanation:
-3x - 2y = -20
3x + y = 10
-y = -10
y = 10
3x + 10 = 10
3x = 0
x = 0
(0, 10)
A deck of cards contains 52 cards, of which 4 are aces. You are offered the following wager: Draw one card at random from the deck. You win $10 if the card drawn is an ace. Otherwise, you lose $1 If you make this wager very many times, what will be the mean amount you win? (a) About - $1, because you will lose most of the tim
(b) About $9 because you win $10 but lose only $1 . (c) About -$10.15 that is, on average you lose about 15 cents. (d) About $0.77 that is, on average you win about 77 cents. (e) About $0 because the random draw gives you a fair bet.
About -$10.15 that is, on average you lose about 15 cents.
Using the principle of discrete probability, the expected value, which is a measure of the mean amount after many plays is - 2/13
Calculating the required probabilities :
P(winning) = P(drawing an Ace) = 4/52 = 1/13
Hence, P(losing) = 1 - 1/13 = 12/13
X :____ 10 _____ - 1
P(X) : _ 1/13_____ 12/13
The expected value :
E(X) = 10 × (1/13) + - 1(12/13)
E(X) = 10/13 - 12/13
E(X) = - 2/13
Hence, the measure of the mean amount is -2/13.
The victory value is $10, and the loss value is $-1.
Out of a total of 52 cards, this deck has 4 aces.
The probability can then be defined as the ratio of the number of desirable outcomes to the number of possible outcomes.
P(win) = number of favorable outcome/number of the possible outcome
= 4/52
= 1/13
P(loss) = number of favorable outcome/number of the possible outcome
= 48/52
= 12/13
Then we have
$10x1/13 + (-1)x12/13
= 10/13-12/13
= -2/13 dollars
= -$0.15
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Which of the following rational functions is graphed below?
A. F(x)=1/-x²
B. F(x)=1/(x+1)²
c.
D. F(x)=1/x²
The following rational functions is graphed below is D . F ( x ) = 1 / x^2 .
Given :
f the following rational functions is graphed below
we know that ,
Rational functions in the form a / b
y = 1 / x^2
Table :
x -2 -1 1 2
y 1 / 4 1 1 1 / 4
on plotting the above points we get the graph which is shown in figure .
here vertical asymptote x = 0 and
Horizontal asymptote y = 0
Therefore F ( x ) = 1 / x^2 is the rational function graphed below .
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researchers are testing a new diagnostic tool designed to identify a certain condition. the null hypothesis of the significance test is that the diagnostic tool is not effective in detecting the condition. for the researchers, the more consequential error would be that the diagnostic tool is not effective, but the significance test indicated that it is effective. which of the following should the researchers do to avoid the more consequential error?
Based on the null hypotheses, the type of error is Decrease the significance level to decrease the probability of Type I error.
According to the given question, the null hypothesis is that the new diagnostic tool is not effective in detecting the condition.
Here the more consequential error described is that the diagnostic tool is not effective, but the significance test indicated that it is effective. This is a type I error.
And in Hypothesis testing, a type I error involves rejecting the null hypothesis and accepting the alternative hypothesis when in reality, the null hypothesis is true.
Therefore, it involves saying there is significant evidence to show that the new diagnostic tool is effective in detecting the condition when in reality, it isn't.
When the level of significance (α) of a hypothesis test directly gives the probability of a type I error. So, by setting it lower, we reduce the chances of a type I error.
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Write 2 different equations you could use to solve for side m?
2. The Equation for value x is, x= 13 sin 52.
3. The value of m, m = l cos <N
4. The length of Hypotenuse is 7.92 m.
What is Trigonometry?The branch of mathematics concerned with specific functions of angles and their application to calculations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).
Given:
2. P= x
H= 13 cm
Using Trigonometry
sin 52 = P/ H
sin 52 = x/ 13
x= 13 sin 52.
3. P = n, B= m and H= l
Using Trigonometry
cos <N= B/H
cos <N= m / l
m = l cos <N
and, using Pythagoras theorem
H² = P² + B²
l²= m² + n²
m= √( l² - n²)
4. P = 7m
angle= 62
Using Trigonometry
sin 62 = 7/ H
0.88295 = 7/ H
H = 7/ 0.88295
H = 7.92 m
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10. a group conducted a poll of 2052 likely voters just prior to an election. the results of the survey indicated that candidate a would receive 46% of the popular vote and candidate b would receive 44% of the popular vote. the margin of error was reported to be 4%. the group reported that the race was too close to call. use the concept of a confidence interval to explain what this means What does it mean to say the race was too close to call?
The difference between the two candidates who voted is less than the margin of error, so the result cannot be predicted.
The difference between the two candidates voted is less than the margin of error
4% of 2052 is 4/100 x 2052 = 82.08
44% of 2052 is 902.88
46% of 2052 is 943.92
It increases as the level of confidence increases because the larger the expected proportion of intervals that will contain the parameter the larger the margin of error.
The race was too close to call means it is within the margin of error for one candidate to receive 44% of the popular vote and for the other candidate to receive 46%, the poll cannot predict the winner.
Therefore, The result cannot be predicted as the race was too close to call.
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I Could Use Some Help...WRLD...999
Simplify the expression. –3x(4–5x) + (3x + 4)(2x – 7)
Answer:
21x^2 - 25x - 28
Step-by-step explanation:
= -3x (4 - 5x) + (3x + 4)(2x - 7)
= -12x + 15x^2 + 6x^2 - 21x + 8x - 28
= 21x^2 - 25x - 28
I hope my answer helps you.
A triangle has vertices at (1, 4), (7, 4), and (7,-2). Select all the points which will lie on the median through the point (7, 4).
Answer:(4, 4), (7, 0), (4,-2)
Step-by-step explanation: The median of a triangle is the line segment connecting a vertex to the midpoint of the opposite side. In this triangle, the vertex at (7, 4) is connected to the midpoint of the side opposite it, which is the midpoint of the line segment between (1, 4) and (7, -2). This midpoint is located at (4, 0). Therefore, the median through (7, 4) will consist of the points (4, 4), (7, 0), and (4, -2).
Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the index of summation. 1+16+81+256+625+1296
The answer to the sum is: ∑ k⁴ (k ranges from 1 to 6)
Express the sum in sigma notation :
According to the question,
1 = lower limit of summation
k = the index of summation
1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²
= 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)
= ∑ k⁴ (k ranges from 1 to 6)
So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).
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Fill in the Venn Diagram and Answer the Questions.
The Venn Diagram is shown at the end of the answer.
Then the amounts are given as follows:
History or did not take dance: 1769.History or math, but not dance: 917.Dance and Math, but not history: 343.History, Dance or Math: 2153.None: 248.How to fill the Venn Diagram?The Venn Diagram is filled starting at the intervals involving most variables, that is, the intersections.
286 students took all three courses, hence:
V = 286.
629 students were taking history and dance, hence:
VI + V = 629
VI + 286 = 629
VI = 343.
605 students took history and math, hence:
IV + V = 605
IV = 605 - 286
IV = 319.
604 students took dance and math, hence:
II + V = 604
II = 318.
1236 students took dance, hence:
III + II + VI + V = 1236
III + 318 + 343 + 286 = 1236
III = 1236 - (318 + 343 + 286)
III = 289
1295 students took math, hence:
VIII + IV + V + VI = 1295
VIII + 319 + 286 + 343 = 1295
VIII = 1295 - (319 + 286 + 343)
VII = 347
1174 students took history, hence:
I + II + IV + V = 1174
I + 318 + 319 + 286 = 1174
I = 1174 - (318 + 319 + 286)
I = 251
Then the number of students who took at least one of the subjects is of:
251 + 318 + 289 + 319 + 286 + 343 + 347 = 2153.
The number of students who took none of the subjects is of:
2401 - 2153 = 248.
(VIII = 248 on the diagram).
The remaining amounts are then calculated as follows:
History or did not take dance: 1174(history) + 347(math) + 248(none) = 1769.History or math, but not dance: I + IV + VII = 251 + 319 + 347 = 917.Dance and Math, but not history: VI = 343.More can be learned about Venn Diagrams at brainly.com/question/24713052
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possible values of residualconsider solving the least squares problem where which of the following vectors is a possible value of the residual ?
To find a least squares solution using the normal equations, compute AT A and AT b, then solve the new system AT Ax = AT b. Each solution will be a least squares solution x to Ax = b.
What is least square method with example?
By reducing the total of the offsets or residuals of points from the plotted curve, the least squares method is a statistical technique for determining the best fit for a set of data points. In order to forecast the behavior of dependent variables, least squares regression is performed.
The least squares approach, sometimes referred to as the linear or simple least squares method, typically fits a straight line across the provided points. The sum of squares of the distances from the points is reduced along this line, which is known as the line of best fit.
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Find the missing measure:
Answer:
46°
Step-by-step explanation:
the sum of the interior angles in a triangle is 180°
take off from 180° the know angles and you will find "x".
180 - 68 - 66 =
46°
Please read both questions first, and guess whether the two answers would be the same, except one is positive and one is negative. Check whether you guessed correctly after you have done the calculations.
a) A company has increased its sales team from 40 people to 50 people. What is the percent change?
b) A company has reduced its management team from 50 people
to 40 people, what is the percent change?
PLEASE HELP
Answer:
Step-by-step explanation:
For a company picnic, Kylie ordered a box of fresh-baked gingerbread cookies and sugar
cookies. She got 60 cookies in all. 54 of the cookies were gingerbread. What percentage of
the cookies were gingerbread?
Write your answer using a percent sign (%).
a wooden cube, whose edges are one centimeter long, rests on a horizontal surface. illuminated by a point source of light that is x x centimeters directly above an upper vertex, the cube casts a shadow on the horizontal surface. the area of the shadow, which does not include the area beneath the cube, is 48 48 square centimeters. find the greatest integer that does not exceed 1000 x . 1000x. (1996,
The greatest integer that does not exceed 1000x is 1. the value of x is approximately 0.001.
What is the area?
The area of a shadow is the amount of surface area that is covered by the shadow. It is the two-dimensional projection of an object onto a surface.
Let the distance between the point source of light and the horizontal surface be h. Since the shadow is a projection of the cube onto the horizontal surface, the shadow has the same proportions as the cube. Therefore, the height of the shadow is h/x times the length of the shadow, which is 48x. The area of the shadow is then:
48x * h/x = 48h
Since the area of the shadow is 48x^2, we have:
48h = 48x^2
h = x^2
We are asked to find the greatest integer that does not exceed 1000x. Substituting the expression for h into the equation, we get:
1000x = 1000x^2
x = 1/1000
Hence, The greatest integer that does not exceed 1000x is 1. the value of x is approximately 0.001.
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Q.7.
The table below shows the numbers of pages Lenny can read in certain amounts of time.
Lenny's Reading Rate
Time
(minutes)
60
90
135
Pages
Read
108
162
243
Based on the table, which equation can be used to determine the number of pages (p) Lenny
can read in t minutes?
A. p = 1.5t
B.
p = 1.8t
C.
t = 1.5p
D.
t = 1.8p
Based on the table, the equation that can be used to determine the number of pages (p) Lenny can read in t minutes is B. p = 1.8t.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.
For this equation, the slope, unit rate, or pages per minute is the quotient of the total number of pages read and the total time (in minutes) used.
Equations are depicted using the equation symbol (=) to show that two or more mathematical expressions are equal to one another.
Lenny's Reading Rate
Time (minutes) Pages Read Pages per Minute
60 108 1.8 (108/60)
90 162 1.8 (162/90)
135 243 1.8 (243/135)
Thus, we can conclude that we can find the number of pages Lenny can read in t minutes using the equation provided by Option B.
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Answer:
p=1.8
Step-by-step explanation:
unit rate 108/60=1.8
2. Tina is playing a computer game.
She starts with 100 points, and she
loses points based on these rules:
• Each time a player passes a level,
8 points are lost.
• Each time a player catches a
flower, 3 points are lost.
Part A
Suppose Tina catches 6 flowers per
level. Which inequality determines
the number of levels, p, that Tina
must pass to have fewer than 20
points left?
A. 100-8p - 6p - 3p ≤ 20
B. 100-8p - 6p - 3p < 20
C. 100-8p - 6px 3p ≤ 20
D. 100-8p - (3 x 6)p < 20
Part B
Tina must complete at least
_ levels.
Part A
p = number of levels
8p = amount of points lost for passing a level
3p = amount of points lost for catching a flower
(6x3)p = multiply the previous expression by 6 since there are 6 flowers per level. This represents the total number of points lost after catching 6 flowers. This expression is equivalent to (3 x 6)p, both of which simplify to 18p.
The quantities 8p and (3 x 6)p are subtracted from the total 100. Then we set that less than 20 to end up with the inequality of
100-8p - (3 x 6)p < 20
Answer: Choice D===================================================
Part B
Refer to the inequality set up in part A.
We'll solve for p.
100-8p - (3 x 6)p < 20
100-8p-18p < 20
100-26p < 20
-26p < 20-100
-26p < -80
p > -80/(-26) ..... inequality sign flips
p > 3.077
The decimal result is approximate. The inequality sign flips because we divided both sides by a negative number.
Round this value up to the nearest integer.
So p = 3.077 rounds up to p = 4. We do not go to p = 3 because
100-26p = 100-26*3 = 22
which is not under 20.
But p = 4 will work
100-26p = 100-26*4 = -4
Answer: Tina must complete at least 4 levels.
Jordan has seven blocks of ice.
The total weight of all seven blocks of ice is 5 kilograms.
6 of the blocks of ice each have a weight of 750 grams.
Work out the weight, in grams, of the other block of ice.
Answer:
500 grams
Step-by-step explanation:
6 weigh 750 so multiply them:
6 × 750 = 4500
4500 grams is equivalent to 4.5 kilograms
the total of all blocks of ice was 5 kg
therefore the remaining one is 0.5kg which is 500g
Let W Span {V1. every vector in W Vp Show that if x is orthogonal to each Vj, for ] < j < P,then xis orthogonal to'
Assume that the basis for a subspace V in Rn is v1,..., vp. Show that a vector in Rn is orthogonal to a vector in V if and only if it is orthogonal to every vector v1,..., vp.
What is a orthogonal vector?An orthogonal vector , In mathematics, orthogonality is an extension of perpendicularity, particularly in vector calculus and linear algebra. Basic geometry dictates that two lines or line segments are only perpendicular if they form a straight angle.
It makes sense to think of vectors as arrows, such as R 2 and R 3, when discussing orthogonal vectors in an inner product space (a real or complex vector space with a notion of vector multiplication).
There are inner product spaces where it makes no sense to conceive of vectors as arrows, yet one still needs to have some understanding of what it means when discussing orthogonal vs. perpendicular.
Hence, It is orthogonal to every vector in vector space, or o V. Every vector in V is a linear combination of these vectors since v1,..., vp serves as the basis for V.
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A fish tank requires 8 liters of water to fill. Alejandro filled the tank with 2 liters of
water. Anthony poured 1- less than Alejandro into the tank. How much water does the tank
still need for it to be filled?
The tank needs 5 more liters of water to be filled.
What is Subtraction?Subtraction is one of the basic operations of mathematics where we remove numbers or expressions or objects away from a given value.
Amount of water needed to fill the tank = 8 liters
Amount of water Alejandro filled = 2 liters
Amount of water Anthony filled = 1 less than Alejandro = 2 - 1 = 1 liter.
Total amount of water filled = 2 liters + 1 liter = 3 liters
Remaining space can be filled with 8 liter - 3 liter = 5 liters.
Hence tank still need 5 liters of water to be filled.
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