Answer:
Step-by-step explanation:
Find the sum of the first 33 terms of the following series, to the nearest integer.
3, 9,15,...
Multiply to find the total height of all objects at 2/8 centimeter. Each tick represents 1/8 centimeter.
The total height of the objects is 38/8 cm
How to find the total height of the objects?The given parameters are:
Each height = 2/8 cm
Number of ticks = 19
The total height of the objects is then calculated as:
Height = Each height * Number of ticks
So, we have
Height = 2/8 cm * 19
Evaluate the product
Height = 38/8 cm
Hence, the total height of the objects is 38/8 cm
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20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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Linear Equations :
3x - 5/3 = x - 3
Answer:
x=(-2/3)
Step-by-step explanation:
Looked it up on google and got that answer, also used an online linear equation calclator
if it takes a leopard to run 500 yards in 1/2 a min how how many miles could it run in 2 hours
Answer:120000
Step-by-step explanation:
bc in a minute their is 60 seconds and if the leoperd runs 500 yards every 30 seconds u would multiply 60 times 2 bc their is 60 min in a hour and u would get 120.then u would multiply that by 2 getting u 240 which is two hours then u would do 500 times 240
In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?
In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.
What is population model ?Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).
The model was given as y=151x(1.013)^t-1950
where the future time t = 2000
Then we can substitute the given year 2000 as the value of 't'
then we will have y=[151x(1.013)^(2000-1950)] = 288 million
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1)) An angle measures 132° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
156° and 24°
Step-by-step explanation:
Let it's supplementary angle be x.
So, the angle = (x - 132)°
As we know, sum of supplementary angles is 180°;
x + x - 132 = 180
2x = 180 + 132
2x = 312
x = 312/2
x = 156°
(x-132)° = (156-132)° = 24°
Hence, the angles are 156° and 24°.
line m passes through the points (5, -4) and (9, 10). When line n is plotted, it has not points in common with line m. Which of the following must be the slope of line n
Answer:
i dont know
Step-by-step explanation:
How many lines of symmetry are there in the object pictured below?
O A. 1
O B. 3
O C.0
O D. 2
B. 3
triangles only have 3 lines of symmetry and circles have infinite
Use quiver to create a clear slope field for the differential equation.
dy/dt= sin(y) + sin(t)
Answer:
The Matlab code along with the plot of slope field for the given differential equation is provided below.
Step-by-step explanation:
Matlab quiver function:
The Matlab's quiver function may be used to plot the slope field lines for any differential equation.
The syntax of the function is given by
quiver(x, y, u, v)
Where matrices x, y, u, and v must all be the same size and contain corresponding position and velocity components.
Matlab Code:
[t,y] = meshgrid(0:0.2:2, 0:0.2:2);
v = sin(y) + sin(t);
u = ones(size(v));
quiver(t,y,u,v)
xlabel('t')
ylabel('y(t)')
xlim([0 2])
ylim([0 2])
Output:
The plot of the given differential equation is attached.
ASAP 40 points
Attached picture
Answer:
A
Step-by-step explanation:
I would recommend following along with Brian McLogan, a renowned math teacher. He teaches this great. Hope this helps: "How to Determine All of the Zeros of a Polynomial"
The basketball team raised a total of $154,694 in September and $29,987 more in October than in September. How much money did they raise in October?
Answer:
$184,681
Step-by-step explanation:
154,694+29,987= 184,681
Just add the two numbers up. Hope this helps
An unknown radioactive material is measured to have a half life of 3 months. When the material was first found, there was 2000mg. a) Write an equation that models the mass of the material, t months. b) Use your equation to determine the mass of material in 4 year c) Calculate around how many months it will take to have 750 mg left
Answer:
OK!!.
N=N(½)ⁿ
n= Time/half life
N=Remaining Mass
N°=Initial Mass or Mass before decay.
t= time taken to decay(Its in Months in this case)
t½= Half Life of the Material. This is the time taken to decay to half its initial value.
N°= 2000mg
a).Equation that Models this is
since n=t/t½
N=N°(½)ⁿ =
N=N°(½)^t/t¹'². This should be your answer.
b). We're asked to find the remaining mass of substance in 4years.
t= 4years
Our Half life is in Months... So we gotta convert or time t from year to Months too.
4yrs === 4x12 = 48Months.
N° was given as 2000mg
N=N°(½)^t/t½
N= 2000(½)^48/3
N=2000(½)^16
Using your calc to evaluate (½)^16... Then multiply by 2000
N=0.0305mg will remain after 4years.
Or After 16Half Lives since 1 half life is 3months
c). We're looking for t this time
N=N°(½)^t/t½
Since it asked for 750mg to remain ... 750 is now our N --- Remaining Mass
750 = 2000(½)t/3
To Isolate "t" and make it the subject
750/2000 = (½)^t/3
0.375 = (½)^t/3
Taking ln(natural log) of both sides
Ln(0.375) = Ln(0.5)^t/3
From the rule of logarithm...
You can bring the power (I.e t/3) to the front
You'll have
Ln(0.375) = t/3Ln(0.5)
Dividing both sides by Ln(0.5) to isolate t
Ln(0.375)/Ln(0.5) = t/3
t/3 = 1.415
t= 3x1.415
t=4.25months.
Have a great day.
Hope this helps... I'm open to questions if you have any too.
The expression 18a-12 factored is
Answer:
6(3a-2)
Step-by-step explanation: Both terms have a 6. Factor that our
simplify 4/7 diveded by 3/-8
Answer:
- 32/21 or - 1 11/21
Step-by-step explanation:
I need help with these short answers #19 - #21
In a diagram to mark that two lines are perpendicular, we put the following symbol:
in one of the angles that they form.
Also, if two lines are congruent, we mark them with the same symbol.
From the given diagram we get:
\(AC\perp BD,\)\(AD\cong CD\text{.}\)Answer:
19.- T.
20.- T.
21.- F.
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
50 POINTSSSSSS ASAP!!!!
Quadrilateral RUST has a vertex at T (5, 2).
An image displaying a quadrilateral RUST.The vertex of R is R of 1 comma 5.
What are the coordinates of T' after the translation (x, y) → (x – 1, y + 2), followed by a dilation by a scale factor of 2, centered at the origin?
A.
(8, 8)
B.
(6, 2)
C.
(4, 4)
D.
(10, 4)
The coordinates of T' after the transformations are given as follows:
A. T'(8,8).
How to obtain the coordinates of the image of T?The coordinates of T are given as follows:
T(5,2).
Meaning that:
It has a x-coordinate of 5.It has a y-coordinate of 2.Then the translation is given as follows:
(x, y) → (x – 1, y + 2).
Meaning that the translated coordinates are of:
T'(5 - 1, 2 + 2) = T'(4, 4).
(as one was subtracted from the x-coordinate and 2 was added to the y-coordinate).
Then the dilation by a scale factor of 2 means that each of the coordinates is multiplied by two, hence:
T'(8,8).
Meaning that option A gives the correct coordinates of the image of the vertex T of the quadrilateral.
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Answer:
8,10
Step-by-step explanation:
i took the test
How many roots do the functions have in common f(x)=x^2+x-6
To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.
For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:
x^2 + x - 6 = 0
To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:
(x + 3)(x - 2) = 0
Setting each factor equal to zero:
x + 3 = 0 or x - 2 = 0
Solving for x in each equation:
x = -3 or x = 2
Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.
To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.
Find the x-value of the removable discontinuity of the function.
Answer:
x=2
Step-by-step explanation:
\(f(x)=\frac{x^2-4}{x^2-12x+20}\)
Factor the numerator and denominator:
\(f(x)=\frac{(x-2)(x+2)}{(x-2)(x-10)}\)
We can remove (x-2) from the function:
\(f(x)=\frac{x+2}{x-10}\)
(x-2) is a removable discontinuity.
The x-value of x-2 is x=2.
I GIVEEE BRAINLILSTTT
Answer:
T 9,9
U 0,9
V 8,10
because it's a reflection over y axis, everything negative will be positive
Answer:
Below
Step-by-step explanation:
The x's will be the opposite (y's will stay the same):
T=(9,9)
U=(0,9)
V=(8,10)
(Look at picture) tysm!!!!!!!! <3
Answer: I can't answer right now
Step-by-step explanation: I will get back to you on this
Nick score on six scientist are listed below 87,93,82,91,93,85
As a bonus the science teacher was going to add three points each test how does the mean of the new test scores compare with the mean of the original test scores??
Answer:
Mean of original test scores is 88.5
Mean of test scores , with three marks added to each score is 91.5
The mean of the test score with three marks added to each score is higher than the original mean of score is increased by three .
Explanation : hope it works out !!
Use the graph to write an equation of the line (90,9)
Answer:
y = x ^2 − 99 x + 81
Step-by-step explanation:
Work backwards to find the factors from the roots, then multiply the factors together.
The volume of the rectangular prism is 16 cubic cm. The length is 2 and 1/3 cm and the width is 4 cm. What is the height?
Answer:
Height = 2.28 cm
Step-by-step explanation:
Given:
Volume of rectangle = 16 cm³
Length = \(2\frac{1}{3}\) = 7/3 cm
Width = 4 cm
Find:
Height
Computation:
Volume of rectangle = LBH
16 = (7/3)(4)(H)
Height = 2.28 cm
The length of a rectangle is 5 cm more than twice the width. The perimeter of the rectangle is five times the width. What are the dimensions of the rectangle?
Answer:
Wyzant
ALGEBRA WORD PROBLEM
Kieryn T. asked • 01/10/18
The length of a rectangle is 5 cm more than twice the width. The perimeter of the rectangle is 34 cm. Find the dimensions of the rectangle.
I am having trouble with this problem. I asked my parents and they didnt know what to do. I am stuck and i have looked through my notes and nothing has helped.
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Mikaila D. answered • 01/10/18
TUTOR 4.5 (8)
College-Level Math and Computer Science Tutor
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The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
We know that P = 34cm
34 = 6*w + 10
Subtract 10 from both sides
24 = 6 * w
Divide both sides by 6
4 = w
Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.
l = 2*4 + 5
l = 8 + 5
l = 13
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $25,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $25,000 and $30,000.
Answer:
Step-by-step explanation:
Let "y" be the amount of the bidder's bid. Then, the probability density function of "x" is:
f(x) = 1/5000 for 25000 ≤ x ≤ 30000
= 0 otherwise
The probability that the bidder's bid "y" is accepted is:
P(y > 25000 and y > x) = P(y > 25000) * P(y > x | y > 25000)
= 1 * P(y > x - 25000)
= (30000 - (x-25000)) / 5000
= (55000 - x) / 5000 for 25000 ≤ x ≤ 30000
= 0 otherwise
If you bid $22,000, your bid will not be accepted since it is below the minimum acceptable bid of $25,000.
The probability that your bid will be accepted when you bid $24,000 is 0.2.
The amount to maximize the probability that you get the property is $25,001.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Let X be the random variable representing the competitor's bid, which is uniformly distributed between 25,000 and 30,000 dollars.
If you bid $22,000, your bid will not be accepted regardless of the competitor's bid, since it is below the minimum acceptable bid of $25,000.
If you bid $24,000, your bid will be accepted only if the competitor's bid is less than or equal to $25,000, since the highest bid in excess of $25,000 will be accepted.
The probability of this happening is:
P(X ≤ 25,000) = (25,000 - 24,000) / (30,000 - 25,000) = 0.2
To maximize the probability of getting the property, you should bid the minimum amount that will guarantee your bid is greater than the competitor's bid, which is $25,001.
The probability of your bid being accepted in this case is:
P(X ≤ 25,001) = (25,001 - 25,000) / (30,000 - 25,000) = 0.2
So, by bidding $25,001, you maximize the probability of getting the property.
Thus,
If you bid $22,000, your bid will not be accepted since it is below the minimum acceptable bid of $25,000.
The probability that your bid will be accepted when you bid $24,000 is 0.2.
The amount to maximize the probability that you get the property is $25,001.
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The complete question.
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $25,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $25,000 and $30,000.
Suppose you bid $22,000 what is the probability that your bid will be accepted.
Suppose you bid $24,000 what is the probability that your bid will be accepted.
What amount should you bid in dollar to maximize the probability that you get the property.
In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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Determine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
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