Answer:
6%
Step-by-step explanation:
You can simplify 12/200 to 6/100 by cancelling a factor of 2 on both the numberator and denominator. Since we got 6/100, we know that 12 is 6% of 200.
Answer:
6%
Step-by-step explanation:
To answer this you just have to divide 12 by 200 and multiply that by 100. Like this:
\(\frac{12}{200} = .06 \\.06(100) = 6\)
Therefore, 12 is 6% of 200.
I hope this helps!!
- Kay :)
A large hospital has an average of 7 fatalities in a week. Using the Poisson model, what is the probability that this week it has 7fatalities? The probability that the hospital has 7 fatalities this week is
The probability that the hospital has 7 fatalities this week is approximately 0.0199
The probability that the hospital has 7 fatalities in a week, given an average of 7 fatalities per week, can be calculated using the Poisson distribution. The Poisson distribution is a discrete probability distribution that models the number of events (in this case, fatalities) that occur in a fixed interval of time (in this case, a week) with a certain average rate (in this case, 7 fatalities per week). The probability of k events happening in a given interval of time is given by the following formula:
P(k;λ) = (e^(-λ))*(λ^k)/k!
Where λ is the average number of events per interval of time and k is the number of events we are interested in.
In this case, we are looking for the probability that there are 7 fatalities this week, given that the average number of fatalities per week is 7. So we can plug in the values into the equation:
P(7;7) = (e^(-7))(7^7)/7! =0.149
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Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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If Jamal currently has 2000 in saving, he will need to Save________each month
Determine if the two lines are parallel, perpendicular, or neither.
x=5 x=−5
Answer:
Parallel
Step-by-step explanation:
g(x) = 5x - 12x2 + 3
The factor of the function will be (4x - 3) and (3x + 1). The graph of the function is shown below.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
g(x) = 5x - 12x² + 3
Then the function can be written as
g(x) = - 12x² + 5x + 3
Then the factor of the function will be
g(x) = 0
Then we have
- 12x² + 5x + 3 = 0
12x² - 5x - 3 = 0
12x² - 9x + 4x - 3 = 0
(4x - 3)(3x + 1) = 0
x = -0.33 and 0.75
Then the graph of the equation will be given below.
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The heights of 14 plants, in inches, are listed.
12, 14, 15, 15, 16, 16, 16, 17, 18, 18 ,19, 20, 22, 25
If another plant with a height of 13 inches is added to the data, how would the mean be impacted?
A. The mean would stay the same value of about 17.1 inches.
B. The mean would decrease in value to about 17.1 inches.
C. The mean would stay the same value of about 17.4 inches.
D. The mean would increase in value to about 17.4 inches.
PLEASE MARK MY ANSWER AS BRIANLIEST IF THIS HELPS, SO I CAN HELP YOU MORE AND MORE! THANK YOU:)))
The correct answer is B. The mean would decrease in value to about 17.1 inches.
Step-by-step explanation:
To find out how adding a new plant with a height of 13 inches would impact the mean height of the 15 plants, we can follow these steps:
To find out how adding a new plant with a height of 13 inches would impact the mean height of the 15 plants, we can follow these steps:Find the current mean height of the 14 plants:
mean = (12 + 14 + 15 + 15 + 16 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25) / 14
= 221 / 14
≈ 15.8 inches
Add the new plant with a height of 13 inches to the list.
Add the new plant with a height of 13 inches to the list.Recalculate the mean height of the 15 plants:
mean = (12 + 13 + 14 + 15 + 15 + 16 + 16 + 16 + 17 + 18 + 18 + 19 + 20 + 22 + 25) / 15
= 236 / 15
≈ 15.7 inches
The mean height of the 15 plants after adding the new plant would be approximately 15.7 inches. This means that the mean would decrease in value from about 15.8 inches to about 15.7 inches. Therefore, the correct answer is B. The mean would decrease in value to about 17.1 inches.
please help asap question three
Answer:
(-6,-6) I think that A is correct
Which of the following are solutions to the quadratic equation below?
Check all that apply.
x²+7x-8=0
A. -1
B. 2
C. -4
D. -8
E. 1
Therefore, the solutions to the quadratic equation x² + 7x - 8 = 0 are -8 and 1. The answers are D and E.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.
Here,
To check which values are solutions to the quadratic equation, we can substitute each value into the equation and see if it equals zero.
Substituting -1 into the equation:
(-1)² + 7(-1) - 8 = 1 - 7 - 8 = -14, which is not equal to zero.
Substituting 2 into the equation:
2² + 7(2) - 8 = 4 + 14 - 8 = 10, which is not equal to zero.
Substituting -4 into the equation:
(-4)² + 7(-4) - 8 = 16 - 28 - 8 = -20, which is not equal to zero.
Substituting -8 into the equation:
(-8)² + 7(-8) - 8 = 64 - 56 - 8 = 0, which is equal to zero. Therefore, -8 is a solution to the equation.
Substituting 1 into the equation:
1² + 7(1) - 8 = 1 + 7 - 8 = 0, which is equal to zero. Therefore, 1 is a solution to the equation.
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Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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an airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
Answer:
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?200
Do you know the sales tax is in your state? How could you find out?
Answer:
Well in my state, it's 6%. Use google to find out yours.
Step-by-step explanation:
Answer:
I know the sales tax is .16 here in Texas. I found out whenever me or my mom would go shopping. I would look at the tax at the bottom of the recipt or do the math. Find the sum of all the gorceries without tax and then subtract it by the total amount of money of the groceries with tax. Then divide that by the amount of groceries we bought.
Step-by-step explanation:
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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explain 3 factors that should be considered in the construction of index numbers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD under a dilation with a scale
factor of 3. What is the length of segment BC?
By using the concept of dilation factor, length of BC obtained is 3 units
What is dilation factor?
Dilation is a transformation which changes the size of a figure by a certain factor.
That factor is called the scale factor
In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3
A'B'C'D' is the dilated figure
Length of B'C' = 9 units
Length of BC = \(9 \div 3\) = 3 units
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Complete Question
The figure has been attached here
Select the correct answer.
What is the circumference of this circle?
OA. 4 1/2 pi
B. 9 pi
c. none of the above
d. 2 1/4 pi
e. 20 1/4 pi
The circumference of this circle is 2π
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
The arc is the circumference.
C = 2πr
C = 2x πx 6
C = 12π
A circle is 360 degrees. The arc is covering 60 degrees
60/360 = 1/6
The arc is 1/6 of the circle, so it will be 1/6 of the circumference
1/6 C = 1/6 (12π)
arc = 2π
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please help me solve this
The speed of both car A and car B are the same which is 0.7 miles per minute
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let x represent the distance travelled by car A and y represent the distance travelled by car B
Speed of car A = x /20
Car B reaches in 50 minutes, hence:
Speed of car B = y/50
Since both speed are same;
x/20 = y/50
20y = 50x (1)
Car B is 21 miles farther, then:
y - x = 21 (2)
x = 14, miles y = 35 miles
Speed of car A = speed of Car B = 14/20 = 35/50 = 0.7 miles per minute
The speed is 0.7 miles per minute
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solve the equations below and write the algebraic expressions for one is done for you
ANSWER:
n = 24
a = 32
STEP-BY-STEP EXPLANATION:
We have the following expressions
1.
\(\begin{gathered} \frac{n}{6}=4 \\ \text{solving} \\ \frac{n}{6}\cdot6=4\cdot6 \\ n=24 \end{gathered}\)2.
\(\begin{gathered} \frac{a}{4}=8 \\ \text{solving} \\ \frac{a}{4}\cdot4=8\cdot4 \\ a=32 \end{gathered}\)3. 5determined if the expression 8a+ a-a is a polynomial or not. if it is a polynomial state the type and degree of the polynomial
Given expression:
\(8a^3+a^5-a\)We can deduce that
It is a polynomial because it has variables, and coe
• There are three terms
,• The highest power of the polynomial is 5
Therefore,
Because we have three terms, the type of the polynomial is Trinomial
Also, since the highest power of the polynomial is 5, the degree of the polynomial is 5
0.9 ? 4/25
>
<
which one ?
0.9. < 2/25
because the alligator eats the bigger number.
Solve for x. I attached the question. Pls help me :(
Answer:
x = 16°
Step-by-step explanation:
What we know:
∠JML = 47°
∠JKL = (7x + 21)°
∠JML is an inscribed angle
∠JKL is an inscribed angle
Inscribed angles are half of the value of their intercepted arc
So if m∠JML = 47° then mArc JL is double that or 94°
And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so
mArc JL + Arc JML = 360°
94 + Arc JML = 360
Subtract 94 from both sides to isolate Arc JML
Arc JML = 266°
So if Arc JML = 266° then it's intercepted inscribed angle is half of that.
Arc JML ÷ 2 = ∠JKL
266 ÷ 2 = ∠JKL
133 °= ∠JKL
Now we can use this value and set it equal to the expression to find the value of x
(7x + 21) = 133
Subtract 21 from both sides to isolate the x
7x = 112
Divide both sides by 7
x = 16
For which pair of triangles could the Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ ? I only have an hour pls help.
The pair that support Angle-Side-Angle Postulate (ASA) be used to prove that △ABC≅△XYZ is option B
What are congruent triangles?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
examples of these rules are
Angle - Side - Angle = ASASide - Side - Side = SSSSide - Angle - Side = SASAngle - Angle - Side = AASHypotenuse and one leg = HLThe problem requires the prove by Angle - Side- Angle = ASA to ensure that the the triangles are congruent
The Angle - Side - Angle = ASA have it that the two triangles being compared should have their two angles and the included side being equal
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What is the solution to this inequality? 1/3x − 7>−4
Add 7 to both sides.
1/3x > −4 + 7Add −4 and 7 to get 3.
1/3x > 3Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.
x > 3 × 3Multiply 3 and 3 to get 9.
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\(5x+7x-1/2x+1/4=6\\x=?\)
Answer:
Step-by-step explanation:
5x + 7x - 1/2x + 1/4 = 6
move x to one side move numbers to the other side
5x + 7x - 1/2 x = 6 - 1/4
add x and numbers
23/2x = 23/4
divide both side by 23/2
x = (23/4)/(23/2)
= 1/2
plug it in to check the answer
5/2 + 7/2 - 1/4 + 1/4 = 6
12/2 = 6
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
19. Money's value resides in the paper or metal from which it was made.
False
True
False. The value of money does not reside solely in the physical materials (paper or metal) from which it is made.
Explaining the concept of MoneyIn modern economies, money has value because it is widely accepted as a means of exchange for goods and services. The value of money is derived from the trust people have in its ability to facilitate transactions and store value over time.
The physical materials used to make money (paper or metal) are simply a medium of exchange that represent the value of the currency. The value of a currency can fluctuate based on a variety of factors such as inflation, interest rates, and global economic conditions.
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You deposited 750 in an account that pays 5% interest compounded quarterly. How many years do you have two wait until it becomes at least ten times as much? Round answer to the nearest whole year.
A. 47
B. 46
C. 45
D. 48
Which of the following is a solution to the inequality below?
21≥ u/2
u=132 u=124 u=16 u=136
The solution to the inequality expression is u ≤ 42
How to determine the solution to the expression?From the question, we have the following parameters that can be used in our computation:
21≥ u/2
Rewrite properly
So, we have the following representation
21 ≥ u/2
Multiply 2 to both sides of the expression
So, we have the following representation
2 * 21 ≥ u/2 * 2
Evaluate
42 ≥ u
Rewrite both sides of the equation as
u ≤ 42
Hence, the solution to the expression is u ≤ 42
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In a survey, people were asked whether they like baseball or whether they like hockey. Here are the results: Likes hockey Doesn’t like hockey Likes baseball 12 18 Doesn’t like baseball 14 6 What value is missing to convert the two-way table to a two-way relative frequency table? Likes hockey Doesn’t like hockey Likes baseball 0.24 0.36 Doesn’t like baseball 0.28
The missing value 'x' in the two-way relative frequency table is 0.36.
To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.
Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.
First, let's calculate the relative frequencies for each category:
Likes hockey: The total count in this row is 12 + 18 = 30.
Relative frequency of "Likes hockey" = 12/30 = 0.4
Relative frequency of "Doesn't like hockey" = 18/30 = 0.6
Likes baseball: The total count in this column is 12 + 14 = 26.
Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615
Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385
To ensure that the relative frequencies add up to 1, we can set up the following equations:
0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)
0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)
Simplifying the equations, we have:
x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36
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An aquarium can holds 5 gallons of water. Desiderio Fills
at a rate of 40 fluid ounces per minute. How long does it take to fill?
Answer:
160 minutes or 2 hours, 40 minutes
Step-by-step explanation:
1 gallon = 128 oz
5 gallons = 640 oz
create a proportion:
let 'x' = time in minutes to fill tank
40 oz/ 1 min = 640 / x
cross-multiply:
40x = 640
x = 160 minutes
Two cars leave towns 850 kilometers apart at the same time and travel toward each other. One car's rate is 16 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car? Do not do any rounding.
Answer:9.5
Step-by-step explanation: