Answer:
the answer is
3a/2
Step-by-step explanation:
1/2 × 3a = 3a/2
Step-by-step explanation:
1/2 times 3a=3a/2
hence one and a half a, or 1 and 1/2a
what are the four conditions necessary for x to have a binomial distribution? mark all that apply.
Characteristic of binomial distribution Mean should be n *p n is the number of trials p is the successful outcome of the process
a set number of trials, such as three rolls of the dice or five flips of the coin.Each trial can either be successful or unsuccessful. Note that the example with the die seems to have six possible outcomes. We must take into account options like "get a 6" (success) or "not obtain a 6." (failure).The likelihood of success must be constant (equal for every try). P(6) = 1/6 for each roll of the die in the example.The trials are separate. The likelihood of success in future trials is unaffected by the outcome of the first.Know more about binomial at:
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Which inequality represents the sentence?
The difference of seven and two tenths and a number is more than twenty nine.
7.2 - n > 29
n - 7.2 Greater-than-or-equal-to 29
7.2 - n < 29
n - 7.2 < 29
7.2 x 29 then 208.8 29
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
;)
The equation the quantity of x plus 16 all over 3 = 3x represents when two tutoring services with different rate plans charge the same fees for a session of x hours. solve for x. x = −7 x = −13 x = 8 x = 2
The solution to the equation x plus 16 all over 3 = 3x is x = 2
How to solve for x in the equation?The mathematical statement is given as:
x plus 16 all over 3 = 3x
Rewrite the equation as:
(x + 16)/3 = 3x
Multiply both sides of the equation by 3
x + 16 = 9x
Subtract x from both sides of the equation
8x = 16
Divide both sides of the equation by 8
x = 2
Hence, the solution to the equation x plus 16 all over 3 = 3x is x = 2
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Answer:
5=2x
Step-by-step explanation:
poopu
Evaluate the following expression using the values given: (1 point) Find x3 − 2y2 − 3x3 + z4 if x = 3, y = 5, and z = −3.
Answer:
-113
Step-by-step explanation:
sub the values
x^3-2y^2-3x^3+z^4
(3)^3-2(5)^2-3(3)+(-3)^4
27-50-9-81
-113
If you live in a town with a current population of 5,000 people and this population is increasing at a rate of 3.4% every 5 years, how many people will live in the town after 15 years?
place the flags 1 standard deviation on either side of the mean. what is the area between these two values? what does the empirical rule say this area is?
The area between one standard deviation and either side of mean is 34%
The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)
95% within the first two standard deviations (µ ± 2σ)
99.7% within the first three standard deviations (µ ± 3σ).
According to the question,
If we place the flag 1 standard deviation on either side of the mean
which means flag is placed either on (µ + σ) or ( (µ - σ)
and Using Empirical rule,
68% of area lie under (µ ± σ)
Therefore , Area between either (µ + σ) or ( (µ - σ) = 68 / 2
=> 34%
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Simplify 2(0.25x + 0.32) - 0.76
A: 0.5x +0.12
B: 0.5x - 0.12
C: 0.38x
D: 0.25x + 1.08
Answer:
B: 0.5x - 0.12
Step-by-step explanation:
Please help me! thank you
Suppose an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t)=-16t^2+48t+120. Find the average velocity from t=2 to t=4.
Type your answer as a number with no units.
The average velocity from t = 2s to t = 4s would be - 48 ft/s.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.
Average velocity
Average rate of change of velocity with time is called average velocity. Mathematically -
v{avg.} = Δx/Δt .... Eq { 1 }
Δx = x(4) - x(2)
Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}
Δx = - 96
Δt = 4 - 2 = 2
So -
v{avg.} = Δx/Δt = -96/2 = - 48 ft/s
Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.
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help meee will give brainlistq ( please i will do anything but ASAP)
Answer:
y = 7/5 x + 34/5
Step-by-step explanation:
Solve for L.
P = 2L + 2W
L = 2/(P - W)
L = 2(W - 2P)
L = (P - 2W)/2
Answer:
L = (P - 2W)/2
Step-by-step explanation:
This is the formula for perimeter
P = 2L + 2W
Sustract 2W on both sides:
P-2W= 2L
Divide both sides by 2:
(P-2W)/2 = L
L= (P-2W)/2
What is the income distribution of super shoppers? A supermarket super shopper is defined as a shopper for whom at least 70% of the items purchased were on sale or purchased with a coupon. In the following table, income units are in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars.Income range5-1515-2525-3535-4545-5555 or moreMidpoint x102030405060Percent of super shoppers21%15%21%17%19%7%
The income distribution of super shoppers is given in the table below.
Income range
Midpoint
Percent of super shoppers
5-151021%
15-252015%
25-352121%
35-452017%
45-552019%
55 or more607%
Therefore, it can be observed from the above table that the highest proportion of super shoppers fall into the income group of $55,000 or more. This group comprises 60% of all super shoppers. On the other hand, the lowest proportion of super shoppers fall into the income group of $5,000 to $15,000.
This group comprises only 21% of all super shoppers.
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The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?
Answer:
Jennifer has the faster training rate.
Step-by-step explanation:
In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:
Choose two ordered pairs from the table: (5, 40) and (64, 8).
Let (x1, y1) = (40, 5)
(x2, y2) = (64, 8)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (8 - 5)/(64 -40)
m = 3/24 = 1/8
Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.
In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:
Let x = 40:
Patrick:
y = 1/9x
y = 1/9(40)
y = 4.44 km ⇒ This represents the distance that Patrick traveled in 40 minutes.
In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.
Therefore, Jennifer has the faster training rate.
V + Iwh
I = 32, w = 14, and h = 7
V = ___
Options:
A: 53
B: 3,136
C: 448
Please show your work
Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.
To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:
1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136
The correct answer is option B: 3,136. Here is the solution in HTML format:
To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:
V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136
The correct answer is option B: 3,136.
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What is the solution to the inequality? 3(x−2)+x≤2
Answer:
x ≤ 2
Step-by-step explanation:
Expand
3x - 6 + x ≤ 2
Rearrange
4x ≤ 8
x ≤ 2
Answer:
x ≤ 2
Step-by-step explanation:
Step 1: Write inequality
3(x - 2) + x ≤ 2
Step 2: Solve for x
Distribute 3: 3x - 6 + x ≤ 2Combine like terms: 4x - 6 ≤ 2Add 6 to both sides: 4x ≤ 8Divide both sides by 4: x ≤ 2Here we see that any number less than or equal to 2 will work.
discuss any two advantages of superposition theorem
compared to other circuit theorms
The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.
Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:
Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.
Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.
It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.
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Calculate the length of x
Answer:
x = 13.85 cm
Step-by-step explanation:
Forming the equation,
→ (16)² = (x)² + (8)²
Now the value of x will be,
→ (16)² = (x)² + (8)²
→ 256 = x² + 64
→ x² = 256 - 64
→ x = √192
→ x = 13.8564
→ [ x = 13.85 ]
Hence, value of x is 13.85.
Amina asked 60 children to choose their favourite flavour of jelly. These were her results.
Flavour Number of children
Raspberry 12
Lemon 8 Orange 15 B
blackcurrant 25
Total 60
What percentage of the 60 children choose orange?
We will see that the percentage of the 60 children who choose orange is 25%.
What percentage of the 60 children choose orange?
In this case, the 60 children are the 100%.
We want to find which percentage 15 (number of kids that like orange) represents.
Then we can write:
15 = x
60 = 100%
x = (15/60)*100% = 25%
So we conclude that 25% of the children choose orange.
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Solve the following system of equations using elimination
Answer:
Well elimination is basically multiplying a number to make it possible for it to cancel out
We can multiply the first equation by 2
2(x+2y=-1)
This would be
2x+4y=-2
Its still the same thing but just with non simplified numbers
We can now do any method really to solve
I will just do the subtraction method
2x+4y=-2
-2x+y=4
Solve
2x-2x=0
4y-y= 3y
-2-4= -6
3y= -6
Now solve
y=-2
To find x subsitute in “y” and find ”x”.
x+2*-2=-1
x-4=-1
x=3
y= -2
x= 3
A box of cereal weighs 14 ounces and costs $2. 66. What is the price per ounce of the cereal?.
please help me fast
Answer:
Question no 3 have been solved
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
it's due very soon yelp :(
Answer:
b i guess
Step-by-step explanation:
Answer:
Definition of Midpoint
Step-by-step explanation:
C----------A---------T
it says that CA and AT are congruent so they are the exact same on both sides. And a midpoint has to be equal on both sides. And also they two points share the letter A which means it is in the middle. Get it midpoint.
Hope this helps!!
May I have brainliest!!
A cell's expected frequency is: Group of answer choices the number of people in the cell's row multiplied by the number of people in the column the number of people in its column divided by the total number of people, divided by the row proportion the number of people in its row multiplied by the number in its column divided by the total number of people the number of people in the cell's row divided by the number of people in the column
A cell's expected frequency can be defined as the number of people in its row divided by the total number of people, multiplied by the number in its column and is therefore denoted as option C.
What is Frequency?This is defined as the number of occurrences of a repeating which takes place per unit time.It also helps to measure how frequent something occurs when counted or observed and is also used in the calculation of the different types of statistical data present or given.
This type of frequency is theoretical and are values which will most likely be in an experiment. it is calculated by multiplying the number in its column by the number of people in the row and dividing by the total number of people in this context.
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solve for x. round to the nearest tenth of a degree, if necessary
What is the value of (-5)^4?
Answer: 625
Step-by-step explanation:
how much times can 3 go into 78
Answer:
26
Step-by-step explanation:
26 times
Answer:
26 times
Step-by-step explanation:
two chicken coops are to be built adjacent to one another using 120 ft of fencing. what is the maximum area of an individual coop?
The maximum area of an individual coop to be built adjacent to one another is 450 ft².
Let the length of each chicken coop be l ft and the width of each chicken coop be w ft. Since the coops are built adjacent to each other, hence,
total length = l + l = 2l and the width = w
The perimeter of the coop = 2(length + width) = 2(2l + w) = 4l + 2w
120 = 4l + 2w
w + 2l = 60
w = 60 - 2l (1)
The area (A) = length x width
= 2l x w
= 2l(60 - 2l)
Area = 120l - 4l²
At maximum area, dA/dl = 0, therefore:
dA/dl = 120 - 8l
120 - 8l = 0
8l = 120
length = 15 ft
putting l = 21 ft in equation 1 gives:
w = 60 - 2(15)
= 60 - 30
width = 30 ft.
The dimension of the individual coop has width of 30 ft and length of 15 ft.
Therefor, Area = length x width = 30 x 15 = 450 ft².
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The system of equations below has no solution.
StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
An equation that could represent a linear combination of the given system of equations is: B. 0 = -78.
What is no solution?In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.
Generally speaking, a linear combination of any system of equations can be obtained by either adding or subtracting a multiple of the equations of the system.
2x/3 + 5y/2 = 15 ......equation 1.
4x + 15y = 12 ......equation 2.
By multiplying equation 1 with 6 and equation with 1, we have the following system of equations:
4x + 15y = 90 ......equation 3.
4x + 15y = 12 ......equation 4.
By subtracting equation 3 from equation 4, we have the following:
0 = -78
In this context, we can reasonably infer and logically conclude that 0 = -78 is an equation that would most likely represent a linear combination of the given system of equations.
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Complete Question:
The system of equations below has no solution.
2x/3 + 5y/2 = 15
4x + 15y = 12
Which equation could represent a linear combination of the system?
A) 4/3x=42
B) 0= -78
C)15/2y=33
D)0=0
Help!!!!!! I’ll give 100 points
Answer:
your answer is c :)
Answer:
V=8 x4 x 5 ( V=B.h, B= 8x4 )
Step-by-step explanation:
the order of permitation is ?
largest order of permitation with 5 objects is?
order of Peremetarion (1 - what is the largest order 24) (231 of Permeration with 5 object.
The largest order of permutation with 5 objects is 120. Also, the number of permutations of 231 with 5 objects is 60.
The order of permutation refers to the number of permutations or arrangements that can be formed from a set of elements. When it comes to finding the order of a permutation, we must first determine the number of elements or objects involved, then use the formula n!, where n represents the number of objects
To find the total number of possible arrangements. It's worth noting that n! implies that all n elements will be used in the permutation. Hence, if only r elements are selected from the n total elements, then we will use the formula nPr, where r is less than or equal to n.
The largest order of permutation with 5 objects is given by 5! = 120. There are 120 permutations of 5 elements. To find the number of permutations of 231 with 5 objects, we can use the formula 5! / (5 - 3)! since there are only 3 objects selected.
Thus, the number of permutations of 231 with 5 objects is 5! / (5 - 3)! = 60. Here's the explanation:Given: 5 objectsFormula: n! where n represents the number of objectsTotal permutations = 5! = 120
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