Using formula, the possible combinations for base and height are (4,12), (6,8), (8,6) and (12,4) for the area \(24 cm^2\)
To find possible base and height measurements for a triangle with an area of\(24 cm^2\), you can use the formula for the area of a triangle:
Area = (1/2) × base × height
Since the area is given as 24 cm², you can set up the equation:
24 = (1/2) × base × height
Now, we need to find possible values for base and height. Let's list some possible pairs:
1. base = 4 cm, height = 12 cm
(1/2) × 4 × 12 = 24
2. base = 6 cm, height = 8 cm
(1/2) × 6 × 8 = 24
3. base = 8 cm, height = 6 cm
(1/2) × 8 × 6 = 24
4. base = 12 cm, height = 4 cm
(1/2) × 12 × 4 = 24
These are just a few examples of possible base and height measurements that would result in an area of 24 cm² for a triangle. Keep in mind that there are many other possible combinations, including non-integer values.
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What is the answer for (-1.1)+5.4 divided (-6) - 1.29
Answer:
-3.29
Step-by-step explanation:
did the math
If X is correlated with Y, what must be true about X and Y? Explain your reasoning. a. A corelation exists between two variables when both variables increase together b. Increasing values of X go with either increasing or decreasing values of Y. A comelation exists between two variables when both variables increase or decrease together c. Increasing values of X go with either increasing or deoreasing values of Y. A correlation exiss between X and Y when higher values of X consistently go with higher values of Y or when higher values of X consistently go with lower values of Y d. X causes Y. If Y decreases as X increases, then X must cause Y to change. e. Increasing values of X go with increasing values of Y. A correlation exists between two variables when both viariables decrease togetherf. X causes Y. If Y increases as X increases, then X must cause Y to change-
Answer:
it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.
Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.
Step-by-step explanation:
a is wrong because it only describes positive correlation, not negative correlation.
c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.
d and f are wrong because they assume causation from correlation, which is a logical fallacy.
e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.
If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.
Explanation:If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.
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a right square pyramid has the dimensions shown below.
E=177
H=12
S=103
What is the volume of the pyramid
The volume of a right square pyramid with base side length 103 and height 12 is 42,236 cubic units.
What is volume?Volume is a measure of the amount of space an object occupies, or the capacity of a container. It is usually measured in liters, gallons, or cubic meters.
The volume of a right square pyramid is calculated using the formula V = (1/3) * (base area) * (height). In this case, the base area is equal to the square of the length of the sides of the base (s²).
Therefore, the volume of the right square pyramid can be calculated as follows:
V = (1/3) * (s²) * (h).
Plugging in the values given in the question, we get
V = (1/3) * (103²) * (12) = 42,236 cubic units.
This is the volume of the right square pyramid with the given dimensions.
To summarize, the volume of a right square pyramid with base side length 103 and height 12 is 42,236 cubic units.
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1. What is the name of the shape to the left?
Answer:
for me it is a circle
Step-by-step explanation:
a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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A certain distribution has a mean value of 100 and a standard deviation of 15. assuming the values are distributed normally, 95% of values will fall between and .
In the given normal distribution with a mean of 100 and standard distribution of 15, 95% of values will fall between 70 and 130 using the Empirical rule of 95%.
What is the Empirical rule of 95%?It states that in a normal distribution approximately 95% of observations fall within two standard deviations from the mean on both sides of the normal curve. The normal curve's centre corresponds to the mean in a normal distribution.
What is the standard deviation?The distance between the mean and the necessary point on either side in a normal distribution is known as the standard deviation.
Given: Mean = 100
Standard deviation = 15
Apply the 95% rule we get,
The normal curve's right side
Mean + 2 x standard deviation
= 100 + 2x 15
= 100 + 30
= 130.
The normal curve's left side,
Mean - 2 x standard deviation
= 100 - 2x15
= 100 - 30
= 70.
Thus, we see that by using the Empirical rule of 95%, 95% values will fall between 70 and 130.
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Can the mixed number 7 and 13/100 be simplified?
Step-by-step explanation:
Reduce 13/100 to lowest terms
13
100
is already in the simplest form. It can be written as 0.13 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 13 and 100 is 1
Divide both the numerator and denominator by the GCD
13 ÷ 1
100 ÷ 1
Reduced fraction:
13
100
Therefore, 13/100 simplified to lowest terms is 13/100.
The mixed number \(7\dfrac{13}{100}\) is \(\dfrac{713}{100}\) on simplification.
A mixed number is a mathematical representation of a number that consists of a whole number and a fraction. It's called a "mixed number" because it combines both a whole number and a proper fraction. The whole number part represents a whole quantity, while the fractional proportion represents a proportion of a whole.
Mixed numbers are generally employed to represent measures that aren't whole numbers but are still greater than 1. They're particularly useful when dealing with magnitudes, such as lengths or quantities of things, that concern both whole units and fractional parts.
Given that
\(7\dfrac{13}{100}\) \(= 7 + \dfrac{13}{100}\)
\(= \dfrac{700}{100}+ \dfrac{13}{100}\\= \dfrac{700+13}{100} \\= \dfrac{713}{100}\)
Hence, The mixed number \(7\dfrac{13}{100}\) can be simplified as \(\dfrac{713}{100}\).
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suppose that x follows the laplace distribution (see problem 2.4.22). prove that e(x) = 0
The expected value (E(x)) of a Laplace distribution is equal to 0. This is because it is a symmetric distribution with equal chances of being above and below the mean. The probability density function (pdf) of a Laplace distribution is given by: f(x) = 1/2b * exp(-|x-μ|/b).
Where μ is the mean and b is the scale parameter. To prove that E(x) = 0, we must show that the integral of the pdf of the Laplace distribution, from -∞ to ∞ is equal to 0.
Integrating from -∞ to ∞, we get:
∫(-∞,∞)f(x)dx = ∫(-∞,∞)1/2b * exp(-|x-μ|/b)dx
By substituting the limits of integration, we can simplify the integral to:
∫(-∞,∞)f(x)dx = 1/2b * (∫(-∞,μ)exp(-x-μ/b)dx + ∫(μ,∞)exp(x-μ/b)dx)
By evaluating the integrals, we get:
∫(-∞,∞)f(x)dx = 1/2b * (exp(-μ/b) + exp(μ/b)) = 0
Therefore, the expected value (E(x)) of a Laplace distribution is equal to 0.
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With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 1200 write-rewrite CDs, and 90 are defective. If 3 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?
Acceptance sampling is a statistical procedure that involves taking a sample of a product or a lot of products and determining if it meets the required standards or specifications.
One method of acceptance sampling involves randomly selecting a sample of items without replacement and accepting the entire batch only if every item in the sample is okay.The ABC Electronics Company has just manufactured 1200 write-rewrite CDs, out of which 90 are defective. The question is asking about the probability that the entire batch will be accepted if 3 of these CDs are randomly selected for testing.We know that out of 1200 CDs, 90 are defective.
Therefore, the number of good CDs is:1200 - 90 = 1110If 3 CDs are randomly selected, the probability of getting a good CD on the first try is:1110/1200 = 37/40The probability of getting a good CD on the second try is:1109/1199The probability of getting a good CD on the third try is:1108/1198The probability of getting all three CDs that are good is:37/40 * 1109/1199 * 1108/1198 = 0.7978Therefore, the probability that the entire batch will be accepted is 0.7978 or approximately 79.78%.
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What is 47 minutes before 6:57
Answer:
it would be 6:10
Step-by-step explanation:
\(6:57-0:47 = 6:10\)
10. A girl bought 2 rotis and 3 pies for $10.00.1
she had bought 5 rotis and 2 pies she would
have paid $19.50.
(a) Write two equations to represent the infor-
mation given above.
(b) Calculate the cost per roti.
(c) Determine the cost per pie,
Answer:
roti = $3.50 pie = $1.00
Step-by-step explanation:
2r+3p = 10 5r+2p = 19.50. we multiply the whole equation starting with 3p x 2 and 2p x 3 =6p on each equation 4r+6p = 20 then multiply the sae line by either the 2 or the 3 and 15r +6p = 58.50 and when we have add showing each equation to minus + eliminate 6p - 6p = 0 then find = 11r = 38.50 then divide to find r = 38.50/11 to show r = 3.5 We then need to find p so use either the original equation to find 5(3.5)+ 2p = 19.50 = 17.5 + 2p = 19.50 = 2p = 19.50 -17.50 = 2p = 2 to show p= 2/2 and p = 1
Function A and Function B both have Horizontal Asymptotes.
Function A: f(x)=10x Function B:
True
True
False
Plzzzz help worth 30 points plzzzz help
Answer:
$0.70
Step-by-step explanation:
Write the third missing congruent statement that will allow us to prove the triangles congruent by SAS.
Answer:
LOOK AT YOUR ANSWER IN PICTURE
7. Convert the following. (5 marks) a) 10,000 cm² to m²?
Answer:
100m^2
Step-by-step explanation:
100 cm in a meter so 10000/100=100
Answer:
10,000 cm^2 = 1m^2
Step-by-step explanation:
100 cm = 1 m
(100cm)*(100cm) = 1 m^2
10,000 cm^2 = 1m^2
Write the equation of the graph in slope intercept form
Answer:
1/2x+3
For the slope you have to on the 2,2 you have to go up and over to the next dot on a line and for the y intercept you just have to find it on the line and if it was on the bottom do a -3 rather than a +3.
assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt. xy
If the function is y=\(\sqrt{x}\), dx/dt=5 and x=9 then dy/dt is equal to 5/6.
Given that the function is y=\(\sqrt{x}\), dx/dt=5 and x=9.
We are required to find the value of dy/dt.
Function is relationship between two or more variables that are expressed in equal to form. The values that we enter in the function is known as part of domain and the values that we get in the function is known as part of codomain.
y=\(\sqrt{x}\)
differentiate both sides with respect to t.
dy/dt=1/2\(\sqrt{x}\) *dx/dt-------1
We have to use the value of x and dx/dt in 1.
dy/dt=1/2*\(\sqrt{9}\) *5
dy/dt=1/2*3 *5
dy/dt=5/6
Hence if the function is y=\(\sqrt{x}\), dx/dt=5 and x=9 then dy/dt is equal to 5/6.
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Question is incomplete. It should include the following function:
y=\(\sqrt{x}\)
What is the slope of the line graphed above?
A. -2
B. -1
c. -1/2
d. 1/2
E. 2
Answer:
-1/2
Step-by-step explanation:
pass (0,1) (2,0)
slope = rise/run = -1/2
Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 ⅗ door. How many liters of paint are needed for 1 door?
Answer: 1.25 litres
Step-by-step explanation:
Two litres of paint is sufficient to paint 1 ⅗ doors.
To find out the amount of paint needed to paint one door, you can use direct proportion:
2 litres : 1 ⅗ door
x 1 door
Cross multiply to get:
1 ⅗ x = 2
x = 2 / 1 ⅗
x = 2 ÷ 8/5
x = 2 * 5/8
x = 1.25 litres
Please help! I will mark brainliest
Answer: C
Step-by-step explanation:
Statement C is true
The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
Interquartile range = \(\underline{Q_{3} - Q_{1}}\)
For bus drivers = 30 - 5 = 25 miles
For teachers = 25 - 5 = 30 miles
Distance of bus drivers = distance of teachers - 5 miles
I bought a 4 pack of tissues for $8.80. What was the unit rate?
Answer: 2.2 and/or 2.20 the zero doesn't matter
Step-by-step explanation:
4 goes into 8, 2 times bring the 2 up (4x2=8)
8-8=0
Bring down the next 8
4 goes into 8, 2 times bring the 2 up (4x2=8)
8-8=0
4 goes into 0, 0 times
0-0=0 bring up the 0 or don't
you should get 2.2 and/or 2.20
need help with work would give more points but poor
Answer:
Step-by-step explanation:
2.5
4 quarts per gallon
8 quarts per 2 gallons
2 quarts is half a gallon since 4 quarts is a full gallon
answer: 2.5
The Tucker family had a meal catered for wedding anniversary dinner. Th cost of the dinner was $489 they had a coupon for 10% off and there was a 5% sales tax what was the total cost including the discount and sales tax nearest cent
Answer:415.65
Step-by-step explanation:
Answer:
415.65
Step-by-step explanation:
trust me
How do you tell Linear vs. Nonlinear
Answer:
linear equations produce straight lines when graphed, and their rate of change remains constant
Nonlinear equations do not produce straight lines when graphed.
To determine whether its linear or nonlinear, you can graph it and see if it produces a straight line, or check if it can be written in the form y= Mx+b
Step-by-step explanation:
The measures of the angles of a triangle
are shown in the figure below. Solve for x.
47°
103⁰
(3x-12)°
Using the sum of angles, we know that the value of 'x' is 14°.
What is the triangle?In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all three angles of a triangle is equal to 180°.The triangle is contained in a single plane.What is the sum of the angles of a triangle?
Some of the angles of a triangle are the property of triangle states that the sum of interior angles of a triangle is 180°.
Given angles are 47, 103, 3x-12:
47+103+3x-12 = 180150 -12 +3x = 180138 +3x = 1803x = 180 - 1383x = 42x = 42/3x = 14°Therefore, using the sum of angles, we know that the value of 'x' is 14°.
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Simplify.
4 / 5 - 2√3
The simplified form of the given expression is:20+8√3/ 13.
Given expression is;4/5 - 2√3
We have to simplify the given expression. To simplify this expression, we will multiply the given expression by the conjugate of denominator, which is; 5 + 2√3
Multiplying numerator and denominator of given expression by the conjugate of denominator;4/5 - 2√3× 5+2√35+2√3
Now, simplifying the above expression;4(5+2√3)/ (5)² - (2√3)²20+8√3/ 25-12
On combining the numerator and denominator, we get;20+8√3/ 13
This is the simplified form of the given expression. Thus, the answer is:20+8√3/ 13.
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A phone company charges a base fee of $15 per month plus an additional charge per minute. the monthly phone cost p can be represented by this equation: p = 15 + am, where a is the additional charge per minute, and m is the number of minutes used.
The monthly phone cost (p) would be $25 in this example. Monthly phone cost p equals $15 plus the additional charge per minute (a) multiplied by the number of minutes used (m).
To calculate the monthly phone cost, multiply the additional charge per minute (a) by the number of minutes used (m). Then add $15 to the result.
The equation p = 15 + am represents the relationship between the monthly phone cost (p), the base fee ($15), the additional charge per minute (a), and the number of minutes used (m).
To calculate the monthly phone cost (p), you need to add the base fee of $15 to the additional charge per minute (a) multiplied by the number of minutes used (m). The equation p = 15 + am represents this relationship.
Step 1:
Multiply the additional charge per minute (a) by the number of minutes used (m). This gives you the cost of the additional minutes used.
Step 2:
Add the cost of the additional minutes to the base fee of $15. This will give you the total monthly phone cost (p).
For example, let's say the additional charge per minute (a) is $0.10 and the number of minutes used (m) is 100.
Step 1:
0.10 * 100 = $10 (cost of additional minutes)
Step 2:
$10 + $15 = $25 (total monthly phone cost)
Therefore, the monthly phone cost (p) would be $25 in this example.
Remember, the equation p = 15 + am can be used to calculate the monthly phone cost for different values of the additional charge per minute (a) and the number of minutes used (m).
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The monthly phone cost, p, would be $52.50 when the additional charge per minute, a, is $0.25 and the number of minutes used, m, is 150.
The monthly phone cost, p, is determined by a base fee of $15 per month plus an additional charge, a, per minute used, m.
This relationship can be represented by the equation p = 15 + am.
To calculate the monthly phone cost, you need to know the additional charge per minute and the number of minutes used.
Let's consider an example:
Suppose the additional charge per minute, a, is $0.25 and the number of minutes used, m, is 150.
Using the equation p = 15 + am, we can substitute the values:
p = 15 + (0.25 * 150)
Now, let's calculate:
p = 15 + 37.5
p = 52.5
Therefore, the monthly phone cost, p, would be $52.50 when the additional charge per minute, a, is $0.25 and the number of minutes used, m, is 150.
Keep in mind that the values of a and m can vary, so the monthly phone cost, p, will change accordingly.
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Erika identifies 6i/4 as an imaginary number and a rational number, is Erika correct?
From the problem, erika is not correct that 6i/4 is a rational number because imaginary numbers are not real numbers.
How to identify rational numbers?Rational numbers are defined as numbers that can be written as a fraction of two integers in the form of a/b where a and b are integers.
Now, If a number line is expanded to become a clear number plane, it would mean that some numbers that are neither rational nor irrational can possibly be plotted. These numbers are are referred to as imaginary numbers which are defined as multiples of the square root of -1. It has no real solution, because the square root of a number is always positive.
We are given the imaginary number as 6i/4 and from the definition above, we can tell that it is neither a rational nor irrational number.
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HELP ASAP!!!!!! FOR BRAINLIST!!
Answer:
x coordinate: 2
y coordinate: -3
explanation:
\(\sf \large\boxed{{\left \{\sf \ {{y=\frac{1}{2} x-4} \atop {y=-2x+1}} \right. }}\)
solve them by combination:
\(\rightarrow \sf \dfrac{1}{2} x -4 = -2x+1\)
\(\rightarrow \sf \dfrac{1}{2} x +2x= 1+4\)
\(\rightarrow \sf 2.5x=5\)
\(\rightarrow \sf x=2\)
Find y:
\(\sf y = -2x + 1\)
\(\sf y = -2(2) + 1\)
\(\sf y = -3\)
Use the information to answer the question.
The picture shows the deck of a house.
2 m
3 m
3 m
3 m
What is the total area of the deck? Enter the answer in the box.
square meters
Answer:
the answer is 54
Step-by-step explanation:
The total area of the deck shown in the diagram attached is 21 m²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The total area of the deck = (2 m * 3 m) + (2 + 3) m * 3 m = 21 m²
The total area of the deck shown in the diagram attached is 21 m²
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