The price after the reduction is 0.72x
How to determine the price after the reductionFrom the question, we have the following parameters that can be used in our computation:
Original price = x
Reduction = 28%
Using the above as a guide, we have the following:
Reduced price = Original price * (1 - Reduction)
Substitute the known values in the above equation, so, we have the following representation
Reduced price = x * (1 - 28%)
Evaluate
Reduced price = 0.72x
Hence, the reduced price is 0.72x
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A herd of elk is released onto state game lands. The expected population P of the herd can be modeled by the equation below where t is the time in years since the initial number of elk were released. P = (10 + 3.3t)/(1 + 0.1t)
(a) State the domain of the model.
t ≥ 0
t ≠ 10
t < 0
t > 0
t ≤ 0
all real numbers
t ≠ -10
(b) Find the initial number of elk in the herd. ________
(c) Find the populations of elk after 25, 59, and 113 years. (Round your answers to the nearest integer.) _____________
(d) Is there a limit to the size of the herd? If so, what is the expected population? (Round your answer to the nearest integer. If there is no limit, enter NONE.) ____________
Since the denominator of the expression (1 + 0.1t) cannot be zero, the domain of the model is between t = 0 and t = -10.
How Can I Determine an Equation's Domain and Range?In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
(b) We must assess the model at t = 0 in order to determine the starting number of elk in the herd:
P = (10 + 3.3t)/(1 + 0.1t)
P = (10 + 3.3(0))/(1 + 0.1(0))
P = 10/1
P = 10
(c) We can easily enter the relevant values of t into the model to determine the populations of elk after 25, 59, and 113 years, then round the results to the nearest integer.
When t = 25:
P = (10 + 3.3t)/(1 + 0.1t)
P = (10 + 3.3(25))/(1 + 0.1(25))
P ≈ 47
When t = 59:
P = (10 + 3.3t)/(1 + 0.1t)
P = (10 + 3.3(59))/(1 + 0.1(59))
P ≈ 189
When t = 113:
P = (10 + 3.3t)/(1 + 0.1t)
P = (10 + 3.3(113))/(1 + 0.1(113))
P ≈ 458
(d) We can use the expression's limit as t approaches infinity to determine the expected population limit:
lim P as t → ∞ = lim (10 + 3.3t)/(1 + 0.1t) as t → ∞
Using L'Hopital's rule, we can find that the limit is equal to:
lim P as t → ∞ = lim 3.3/0.1 as t → ∞
lim P as t → ∞ = 33
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100 POINTS HELPP WILL GIVE BRAINLIEST
Answer: 1.24
Step-by-step explanation:
40% abundance in decimals = 0.4
0.4 multiplied by 3.1 = 1.24
Answer:
EPIC: They Troy Saga Full Speed
Step-by-step explanation:
Six hundred men, six hundred men under my command
With only one goal in mind
Make it back alive to our homeland
Six hundred men, six hundred miles of open sea
But the problem's not the distance
It's what lies in between
And Ithaca's waiting Ithaca's waiting
My kingdom is waiting The kingdom is waiting
Penelope's waiting for me
So full speed ahead, full speed ahead
What is the combined weight of all the loaves of bread? Show your work.
The mass of each bun is 50g.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the total mass of 2 loaves of bread and 5 buns is 650g.
The 2 loaves of bread weigh 400 g.
We need to find the mass of each bun.
2 loaves of bread + 5 buns = 650g
2 loaves of bread = 400g
5 buns = 650g - 400g
=250g
1 bun = 250/ 5
= 50g
The mass of each bun is 50g.
Hence, the mass of each bun is 50g.
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Complete question
The total mass of 2 loaves of bread and 5 buns is 650 g. The 2 loaves of bread weigh 400 g. What is the mass of each bun?
Please help on this fast
The table that shows a proportional relationship is Table A.
What is a proportional relationship ?A proportional relationship is a type of relationship between two variables in which the ratio of their values remains constant. In other words, as one variable increases or decreases, the other variable also increases or decreases in proportion to it.
In table A, we see that :
= 150 / 3
= 50
= 200 / 4
= 50
= 250 / 5
= 50
Every single value of y, gives the same value of x so this means that the table shows a proportional relationship.
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Ron is a huge golfer and he is interested in purchasing a new brand of golf balls that claim to extend his driving
range. Ron sets up an experiment where he will test these new golf balls against the current golf balls he uses to
see if his driving distance had increased. He will hit an SRS of 30 new golf balls and record the average range
and then will hit an SRS of 30 current golf balls and record the average range. He will then compare the
averages to see if there is a difference between the two true distances.
11) What type of study is being conducted by Ron and, of the following, which is the appropriate t-
interval for inference?
(A) A completely randomized design and a t-interval for a difference between means for independent samples
(B) A completely randomized design and a t-interval for a mean difference
(C) A matched-pairs design and a t-interval for a difference between means for independent samples
(D) A matched-pairs design and a t-interval for a mean difference
(E) An observational study and a t-interval for a difference between means for independent samples
12) The following is a table of his results.
New Golf Balls
Old Golf Balls
¿(yards)
203.5
197 4
S, (yards)
5.6
10.3
We set up our hypothesis to see if there is a significant difference in mean driving distance between the new
golf balls and the old golf balls. Based on our data, what is the appropriate t-statistic?
(A) 1.01
(B) 1.55
(C) 1.98
(D 2.85
(E) 3.33
13) Which of the following is a true statement about the study being conducted by Ron?
(A) Because this is an experiment, the random condition was violated due to no random assignment.
(B) Because this is an experiment, the fact that an SRS of balls was taken is insignificant.
(C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual
samples of balls will be approximately normal.
(D) The central limit theorem tells us that as long as our sample size is above 30, the population distribution
will be approximately normal.
(E) The results of this study will be meaningless because it was not double-blind
11) (A) a t-interval for a difference between means for independent samples.
12) the appropriate t-statistic is (C) 1.98.
13) option (c)
What is the central limit theorem?The central limit theorem is a principle in probability theory that states that the distribution of sample means will eventually approximate a normal distribution as the sample size becomes larger.
11) The type of study being conducted by Ron is a completely randomized design, where he randomly assigns the two types of golf balls (new and current) to two separate groups and then compares the mean driving distances between the two groups.
The appropriate t-interval for inference is (A) a t-interval for a difference between means for independent samples.
12) To test the hypothesis of whether there is a significant difference in mean driving distance between the new golf balls and the old golf balls, we need to calculate the appropriate t-statistic.
The formula for the t-statistic for a difference between means for independent samples is:
[tex]t = (x_1 - x_2) / [s1^2/n1 + s_2^2/n_2]^{0.5}[/tex]
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes for the two groups.
Using the given data, we have:
x1 = 203.5 yards, x2 = 197.4 yards
s1 = 5.6 yards, s2 = 10.3 yards
n1 = n2 = 30
Substituting these values into the formula, we get:
[tex]t = (203.5 - 197.4) / [(5.6)^2/30 + 10.3^2/30]^{0.5} = 1.98[/tex]
Therefore, the appropriate t-statistic is (C) 1.98.
13) The correct statement about the study being conducted by Ron is (C) The central limit theorem tells us that the sampling distribution of driving distance for each of the individual samples of balls will be approximately normal.
Hence, The answers to the question:
11) (A) a t-interval for a difference between means for independent samples.
12) the appropriate t-statistic is (C) 1.98.
13) option (c)
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Answer: c
Step-by-step explanation:
4/3b = 4/5 what does b=
Answer:
20B
Step-by-step explanation:
Answer:
20B
Step-by-step explanation:
on an auto assembly line, every third car is green. Every fourth car is a convertible
Of the first 100 vehicles, there are nine convertible green cars.
Explain about the sequence of number?A succession or an ordered set of numbers regulated by a pattern or rule is referred to as a number sequence. Terms are a group of numbers in a sequence. A sequence with no end is referred to as a finite sequence, whereas an infinite sequence is one that never comes to a finish.The sequence of green cars:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99
The sequence of convertible cars:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.
Convertible and Green cars (in the very first 100 cars):
12, 24, 36, 48, 60, 72, 84, and 96.
Thus, of the first 100 vehicles of auto assembly line, there are nine convertible green cars.
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The complete question is-
On an automobile assembly line, every third car is green. Every fourth car is a convertible. How many cars out of the first 100 will be green convertibles?
Three people spend money on a vacation. The expression −1,0263 represents the amount of money each person spends on the vacation. Which expression is equivalent to −1,0263 ?
Answer:-(-1,026/3
Step-by-step explanation:
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5
The equations that have the same value of x as the given equation are:
18x - 9 = 72
3(6x - 3) = 72
x = 4.5
The correct options are the third, fourth, and fifth options
Determining the equations that have the same value of xFrom the question, we are to determine the equations that have the same value of x as the given equation
To solve the given equation, we can begin by simplifying it:
3/5 (30 x - 15) = 72
Multiplying both sides by 5/3, we get:
30 x - 15 = 120
Adding 15 to both sides, we get:
30 x = 135
Dividing both sides by 30, we get:
x = 4.5
Now, to check which equations have the same value of x as the above result, we can substitute x = 4.5 in each option and see which ones result in a true statement.
18 x - 15 = 72Substituting x = 4.5, we get:
18(4.5) - 15 = 72
81 - 15 = 72
This is not a true statement, so this option is not correct.
50 x - 25 = 72Substituting x = 4.5, we get:
50(4.5) - 25 = 72
225 - 25 = 72
This is not a true statement, so this option is not correct.
18x - 9 = 72Substituting x = 4.5, we get:
18(4.5) - 9 = 72
81 - 9 = 72
This is a true statement, so this option is correct.
3(6x - 3) = 72Substituting x = 4.5, we get:
3(6(4.5) - 3) = 72
3(24) = 72
This is a true statement, so this option is correct.
x = 4.54.5 = 4.5
This is a true statement, so this option is correct.
Hence, the equations are:
18x - 9 = 72
3(6x - 3) = 72
x = 4.5
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. Davis has 40 chapter books. He plans
to read 4 chapter books a week. How
many weeks will it take Davis to read
all 40 books?
A 3 weeks
(B) 4 weeks
Answer:
10 weeks
Step-by-step explanation:
40 books= ? weeks
4 books. = 1 week
so do 40/4 and get 10
Answer:
10 weeks
Step-by-step explanation:
PRYZ is a square. If RK = 5, RY=5, find each measure. KZ= ? YP = ? m<PRZ =? m<ZYKZ=?
The solution is, in PRYZ square, the value of m∠YKZ = 90.
What is a square?A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal-length adjacent sides.
here, we have,
Remember that
In a Square
All sides are equal
Diagonals bisect each other perpendicularly
so
Find out KY
In the right triangle RYK
Applying the Pythagorean Theorem
RY^2=RK^2+KY^2
substitute given values
13^2=5^2+KY^2
KY^2=13^2-5^2
KY^2=144
KY=12
Find out PK
Remember that
Diagonals bisect each other perpendicularly
that means
PK=KY=12
Remember that
Diagonals bisect each other perpendicularly
so, that means
m∠YKZ = 90
Hence, The solution is, in PRYZ square, the value of m∠YKZ = 90.
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Need help With This Math problem
Answer:
Step-by-step explanation:
FG = FE, ∴ ΔFGE is isosceles.
∴∠G = ∠E (Base angle in isosceles triangle are equal)
So ∠G = 63°
please help before i off myself
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $1,575/month. The interest rate for the mortgage is 4.65%. What must their realized income be before each month?
If your parents are buying a house for $187,500. their realized income be before each month is $5250.
How to find the realized income?Loan amount = $187,500 - (187,500 * 20%)
Loan amount = $ 150,000
Monthly rate = 4.65% / 12 = 0.3875%
Interest rate for the first month is:
Interest rate = $ 150,000 * 0.3875% = $ 581.25.
Loan repayment =$ 1,575 - $ 581.25 = $ 993.75.
Amount parents owe = $ 150,000 - $ 993.75 = $149,006.25
Second month Loan = $ 1,575 - ($149,006.25 * 0.3875%) = $ 997.60
Second month ending amount owe = ( $149,006.25 - $997.60)
Second month ending amount owe = $ 148,008.65
A monthly loan payment that is not more than 30% of monthly income will be used to find the realized income.
Realized income = $ 1,575/30% = $ 5,250
Therefore the realized income is $5250
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Which first step could you take to solve this system using elimination?
Equation #1: 2x + 18y = -9
Equation #2: 4x + 18y = -27
(Choose all correct answers)
Multiply equation #1 by 2
Multiply either equation by -1
Multiply equation #1 by -2
Multiply equation #1 by -3
Answer:
Step-by-step explanation:
To use elimination method, we need to eliminate one of the variables (x or y) by adding or subtracting the two equations. To do this, the coefficients of one of the variables in the two equations should be the same or opposite.
Looking at the two equations:
Equation #1: 2x + 18y = -9
Equation #2: 4x + 18y = -27
We can see that the coefficients of y are already the same in both equations. So, we can eliminate y by subtracting Equation #1 from Equation #2.
However, to do this we need to make sure that the coefficients of x in the two equations are opposites, i.e., one is positive and one is negative.
Therefore, the first step we could take to solve this system using elimination is to multiply Equation #1 by -2 to get:
-4x - 36y = 18
Now the coefficients of x in the two equations are opposites, so we can subtract Equation #1 from Equation #2 to eliminate y and solve for x.
So, the correct answer is:
Multiply equation #1 by -2.
Your friend buys 1 8/10 tenths of a pound of bananas. If each pound cost $4.10, how much do they pay for her bananas?
Answer:
Below
Step-by-step explanation:
1 8/10 = 18/10
18 / 10 pound * $ 4.10 / pound = (18 * 4.1) / 10 = 73.8 /10 = $ 7.38
( see how the unit 'pound' cancels out and you are left with $ ???)
What is the probability that at least one of a pair of fair 6-sided dice shows the number 2, given that the sum of the dice is 4?
Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.
What are instances and probability?It is founded on the likelihood that something will occur. The rationale for probability is the central tenet of theoretical probability. For instance, there is a 12% chance that a coin will land on its head when flipped.
There are five possible ways to obtain a sum of 4 with two 6-sided dice: {(1,3),(2,2),(3,1),(2,1),(1,2)}.
Out of these five possible outcomes, there is only one outcome where neither of the dice show a 2, which is {(1,3)}.
Therefore, the probability that at least one of the dice shows the number 2, given that the sum of the dice is 4, is 1 - (1/5) = 4/5, or 0.8, which is the probability that at least one of the two dice is a 2.
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The probability that at least one of a pair of fair 6-sided dice shows the number 2, given that the sum of the dice is 4 is 1/3.
Define probability?The measure of the likelihood or chance of an event occurring is known as Probability. It is a quantitative measure that ranges from 0 (indicating an impossible event) to 1 (indicating a certain event).
Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation or experiment. Probability theory is a branch of mathematics that deals with the study of random events, and it is widely used in many fields such as statistics, physics, economics, finance, and more.
If the sum of the dice is 4, then the possible pairs are (1, 3), (2, 2), and (3, 1). Out of these three pairs, only one has at least one die showing the number 2, which is (2, 2).
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Find the area of ΔLKJ.
The area of the triangle LKJ is 150 square meters
How to determine the area of the triangleFrom the question, we have the following parameters that can be used in our computation:
The figure
The area of a shape is the measurement of the size of the region enclosed by the shape in a two-dimensional plane.
It is the amount of space inside the shape, usually measured in square units, such as square meters or square feet.
From the figurr, we have
KM^2 = LM * MJ
Substitute the known values in the above equation, so, we have the following representation
12^2 = LM * 16
So, we have
LM = 9
Next, we have
Area = 1/2 * LM * KM
So, we have
Area = 1/2 * 12 * (9 + 16)
Evaluate
Area = 150
Hence, the value of the area is 150
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36(m+n)² - 121(m-n)²
Answer:
17m−5n)(17n−5m) when u expand it your answer would be −85m 2+314mn−85n 2
Step-by-step explanation:
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of function g if g(x) = f(x) − 11? A. It is the graph of f(x) where the slope is decreased by 11. B. It is the graph of f(x) translated 11 units down. C. It is the graph of f(x) translated 11 units up. D. It is the graph of f(x) where the slope is increased by 11.
The right response is B. It is the graph of f(x) scaled down by 11 units.
For any given value of x, the output of f(x) is subtracted by 11 to get the function g(x) = f(x) - 11.
The result is the same as the input for the function f(x) = x. Thus, if we take 11 out of the result, we get:
g(x) = f(x) - 11 = x - 11
In other words, the graph of g(x) is the graph of f(x), 11 units lower.
Thus, assertion B is the correct one. It is the graph of f(x) scaled down by 11 units.
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Nelda needs to wrap a holiday gift box. The box is in the shape of a rectangular prism with the dimensions shown.
What is the total surface area of the gift box?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
[tex]416 \;in^2[/tex]
Step-by-step explanation:
The surface area of the rectangular prism
[tex]S = 2(lw + lh + wh)[/tex]
where
l = length = 12 in
w = width = 10 in
h = height = 4 in
Therefore
[tex]S = 2(12\cdot 10 \;+ \; 12\cdot 4 \;+\;10 \cdot 4)\\\\= 2(120 + 48 + 40)\\\\= 2 (208)\\\\= 416 \: in^2[/tex]
Create a flow chart for a game in which a player rolls three standard dice and then
gets a score based on how many of the dice are showing the same number.
In flowchart, If the dice do not show the same number, add 0 points to the player's score.
A flowchart quick answer is what it sounds like.
A flowchart is a diagram that shows a procedure, a system, or a computer algorithm. It is a diagrammatic representation of a particular problem's solution, but more significantly, it breaks out the crucial actions that must be taken in order to solve the problem.
1.Roll three dice
2.Compare numbers on the dice
3.If two dice show the same number, add 10 points to the player's score
4.If three dice show the same number, add 25 points to the player's score
5.If the dice do not show the same number, add 0 points to the player's score.
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Enola is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she flips a coin and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday?
The number of possible outcomes is 10.
Finding the Number of outcomes:To find the number of possible outcomes find the number of outcomes when the coin is flipped and the number of outcomes when the spinner is spinning.
Multiply the number of outcomes from the coin by the number of outcomes from the spinner.
Here we have
Enola is designing a new board game,
She flips a coin and spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday
No of possible outcomes when a coin is flipped = 2 [Head and Tail]
No of possible outcomes when she spins a spinner = 5
[ i.e Monday, Tuesday, Wednesday, Thursday, Friday ]
Hence, No of out comes = 2 × 5 = 10
Therefore,
The number of possible outcomes is 10.
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Neo leaves home at 6:45 to drive to work. Neo drives a distance of 45 miles.Neo thinks he drives of an average speed of 30 miles per hour.
Neo is correct what time would he arrive at work ?
The time at which Neo reaches the work destination is A = 8 : 15 AM
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the time at which Neo reaches the work destination be A
Now , the time at which Neo leaves home = 6 : 45 AM
And , the distance between Neo and work = 45 miles
where the speed of Neo is S = 30 miles per hour
So , the distance traveled by Neo in 1 hour = 30 miles
The distance traveled by Neo in 1.5 hours = 45 miles
Therefore , the time required by Neo to reach office is 1.5 hours
And , the time at which Neo reaches the work destination A = 6 : 45 AM + 1.5 hours
On simplifying the equation , we get
The time at which Neo reaches the work destination A = 8 : 15 AM
Hence , the equation is A = 8 : 15 AM
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Sandra read 200 pages over x days. How would you show how many
pages she read each day?
Solve ASAP
Answer:
200 x 7 = 1,400 x = 7 because there are 7 days in a week
Step-by-step explanation:
1) Write an algebraic expression, The quotient of g and 4 added to 15
2) Write an algebraic expression, 6 minus the difference of y and 3
3) Write an algebraic expression, the product of a number d and 8
The algebraic expressions for the given questions are found as:
1) g/4 + 15.
2) 6 - y + 3
3) d * 8
What are algebraic expressions?
A mathematical expression made up of variables, constant algebraic numbers, and algebraic operations are known as an algebraic expression. Everything with a variable value is anything whose value changes over time. Variables in expressions are often represented by letters of the alphabet. Finding the simplified term of the given expression is the goal of simplifying the algebraic expression. We must first understand how to join like terms, factor a number, and the order of operations before we can factorise or simplify the expression. When like terms are combined, the constant terms are divided for the purpose of simplicity and the variables with the same degree are grouped together.
1) The quotient of g and 4 is given by g/4.
Now, this is added to 15.
So the algebraic expression is g/4 + 15.
2) The difference between y and 3 is y - 3.
Now from 6, this difference is subtracted.
So the expression becomes,
6 - (y-3) = 6 - y + 3
3) The product of two numbers is found by multiplying the numbers.
So the expression is :
d * 8
Therefore the algebraic expressions for the given questions are found according to the given statements.
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The family likes peaches and other fruits. The local farmer’s market is selling fresh peaches at a discounted price. If the farmer’s market sold 35% of its produce and has 260 peaches remaining, how many peaches did it originally have on hand? Show all your work and explain how you used equivalent ratios to solve the problem.
The farmer's market originally had 400 peaches on hand.
What is an equation?
An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and radicals.
Let's use x to represent the original number of peaches the farmer's market had on hand.
We know that the farmer's market sold 35% of its produce, which means it sold 0.35x peaches. The remaining number of peaches can be calculated by subtracting the number of peaches sold from the original number of peaches:
remaining peaches = x - 0.35x
We also know that there are 260 peaches remaining, so we can set up an equation:
260 = x - 0.35x
Simplifying this equation, we can combine like terms:
260 = 0.65x
To solve for x, we need to isolate the variable by dividing both sides by 0.65:
x = 260 / 0.65
x = 400
Therefore, the farmer's market originally had 400 peaches on hand.
To explain how we used equivalent ratios, we used the fact that the farmer's market sold 35% of its produce. This can be represented as a ratio of 35/100 or 0.35. We then used this ratio to find the number of peaches sold, which is 0.35x. We also used the fact that the remaining peaches are the original peaches minus the peaches sold, or x - 0.35x. Finally, we set up an equation using the remaining peaches and solved for x to find the original number of peaches.
Hence, the farmer's market originally had 400 peaches on hand.
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Monica recorded the high temperature each day for one week. She will report the most
common high temperature during that week to her class. Which measure of data should
Monica report?
A Mode, because the mode of a data set is always the greatest value
B Median, because the median of a data set is always the middle value
C Mode, because the mode of a data set is always the value that appears the greatest
number of times
D Median, because the median of a data set is always the value that appears most often
Monica should report the mode, because the mode of a data set is always the value that appears the greatest number of times. Option C is correct.
Diego attempts a challenge where he will walk in a sequence of lines to create A ABD A CDB, as shown in the figure. According to the rules, he can traverse
each side only one time and he cannot jump from point to point. Which of the following statements are not true? Select all that apply.
D
B
☐A) The distance Diego travels from A to B is the same as the distance traveled from C to D.
☐B) The distance Diego travels from D
to B is the same as the distance traveled from C to D.
C) The distance Diego travels from A to B is the same as the distance traveled from B to C.
D) The angle Diego creates at ZBDA has the same measure as the angle he creates at ZBDC.
E) The angle Diego creates at ZDAB has the same measure as the angle he creates at ZBCD.
Statements B, C, and D are not true. Diego would travel a greater distance from D to B than from C to D. He would also create different angles at ΔBDA and ΔBDC, and the distance traveled from A to B would not be the same as from B to C.
According to the given figure, Diego attempts to walk in a sequence of lines to create ΔABD and ΔCDB. He can traverse each side only once and cannot jump from point to point. We need to determine which of the following statements are not true:
A) The distance Diego travels from A to B is the same as the distance traveled from C to D. This statement is not true because the distance from A to B is the sum of the lengths of AB and BD, whereas the distance from C to D is the sum of the lengths of CD and BD, and BD is being counted twice.
B) The distance Diego travels from D to B is the same as the distance traveled from C to D. We cannot determine the truth of this statement without more information about the lengths of the sides.
C) The distance Diego travels from A to B is the same as the distance traveled from B to C. This statement is not true because the distance from A to B is the sum of the lengths of AB and BD, whereas the distance from B to C is the sum of the lengths of BC and BD, and BD is being counted twice.
D) The angle Diego creates at ΔBDA has the same measure as the angle he creates at ΔBDC. This statement is not true because the angles at ΔBDA and ΔBDC are vertical angles, which are congruent, but not necessarily equal to each other.
E) The angle Diego creates at ΔDAB has the same measure as the angle he creates at ΔBCD. We cannot determine the truth of this statement without more information about the angles.
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Please help!!!!! If a 24 foot shrub has a 6 foot shadow how tall is a pole that has an 84 foot shadow?
The height of the pole is 336 feet.
How to find the height of the pole?The 24 foot shrub has a 6 foot shadow . The height of the pole that has an 84 foot shadow is as follows:
Hence. let's use proportion to find the height of the pole.
Therefore,
let
h = height of the pole
Hence,
24 /h = 6 / 84
cross multiply
6h = 84 × 24
6h = 2016
divide both sides by 6
h = 2016 / 6
h = 336 ft
Therefore,
height of the pole = 336 ft
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Does this represent a function yes or no because
Each input value has exactly one corresponding output value, which satisfies the definition of a function.
What is function?A function is a relation between two sets of values where each input value (independent variable) corresponds to exactly one output value (dependent variable). In this case, the input values are the values of "x" column, and the output values are the values of "y" column.
According to question:Looking at the given table, for each unique value of "x", there is a unique corresponding value of "y".
For example, when "x" is 25, "y" is 5; when "x" is -25, "y" is -5; when "x" is 36, "y" is 6; and when "x" is -36, "y" is -6.
Therefore, each input value has exactly one corresponding output value, which satisfies the definition of a function.
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