Which property of equality illustrates the statement "If AC = 14, then BD + AC = BD + 14?"
A. Transitive Property of Equality
B. Symmetric Property of Equality
C. Division Property of Equality
D. Substitution Property of Equality
'Substitution Property of Equality' illustrates the statement "If AC = 14, then BD + AC = BD + 14" from the question.
What is property of equality?
The equality characteristics define the relationship between two equal quantities. If a mathematical operation is applied to one side of an equation, it must also be applied to the opposing side to keep the equation balanced.
The Substitution Property of Equality states that if we know that two expressions are equal, we can substitute one of them for the other in any equation.
In this statement, it is stated that "If AC = 14, then BD + AC = BD + 14." Here we substitute 14 for AC in BD + AC = BD + 14. Which means that if we know that AC = 14, we can substitute 14 for AC in any equation, and the equation will still be true.
Therefore, given statement illustrates the Substitution Property of Equality.
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please help me with this dont guess pls!
Answer:
B
Step-by-step explanation:
Answer:
3357
Step-by-step explanation:
100° хо 100%
what is the answer for x?
The answer of x is 100 degree.We can find by using percentage formula.
What do we mean by percentage?Percentage is a value or ratio that shows a fraction of 100. Percent means per 100. It does not have any units.If we have to calculate percent of a number then we divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
What is the percentage formula?The formula used to calculate percentage is: (value/total value)×100%.The most basic application of percentages is to compare one quantity against another. When we want to talk about data in this way we use it with the word, "of." To use this data as an example, we would say, for example, "25% of people prefer cake," as in this example.
Now we have
100 = x of 100%
100= x * 100/100
100= x
Hence we can calculate value of x.
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Question 2 of 10
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same size,
D. The triangles have the same shape.
The number of accidents per week at a hazardous intersection is a random variable with mean 6.3 and standard deviation 5.85. The distribution of the number of accidents is very right skewed. (a) Suppose we let X be the sample average number of accidents per week at the intersection during 9 randomly chosen weeks. What is the probability that X is less than 5
Answer:
The probability that X is less than 5 cannot be determined.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
The distribution is right-skewed, which means that the central limit theorem can only be applied for a sample size of at least 30. Since the sample size is 9 < 30, the CLT cannot be applied, and thus the probability that X is less than 5 cannot be determined.
Classify this triangle.
Acute scalene triangle
Obtuse isosceles triangle
Right isosceles triangle
Right scalene triangle
Answer:
Acute scalene triangle
Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in that order
Answer:
4/663
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Since we are to draw from a pack of card, the total outcome will be 52
Since there are 4 hearts;
Pr(selecting heart) = 4/52 = 1/13
If a club is then selected without replacement, the total number of card remaining will be 51;
Pr(selecting a heart) = 4/51
probability of drawing a heart and a club in that order = 4/52 * 4/51
probability of drawing a heart and a club in that order = 16/2652
probability of drawing a heart and a club in that order = 4/663
the quotient of x divided by 5 is greater than or equal to 6. Write an inequality and graph its solution
The side of a triangle are 64, 47 And 39 use the Pythagorean theorem to determine if a triangle is right acute or obtuse
Answer: obtuse
Step-by-step explanation:
64+47=111
111>39
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer: 7.6
Use a caculator for next time so you don't have to waste your points.
Find the volume of this sphere.
Use 3 for TT.
V V ~ [?]cm3
V = nr3
r=6cm
Answer:
[tex]V = 864cm^3[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]
[tex]\pi = 3[/tex]
Required
The volume of the sphere
This is calculated as:
[tex]V = \frac{4}{3} \pi r^3[/tex]
So, we have:
[tex]V = \frac{4}{3} *3 *6^3[/tex]
[tex]V = \frac{4}{3} *3 *216[/tex]
This gives:
[tex]V = 4 *216[/tex]
[tex]V = 864[/tex]
solve the inequality 5(2x-1)<2(4x+3)
Answer:
x < [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
=> 10x - 5 < 8x + 6
Subtract 8x from the left and right side of the inequality sign:
=> 2x - 5 < 6
Now, add 5 on both sides of the inequality:
2x < 11
now divide 2 on both sides:
x < [tex]\frac{11}{2}[/tex]
Hope this helps!
x/4 = 12
Please help
To make an apron, Jaylen’s mother bought 3.9 yards of cloth. If a yard of cloth costs $9.50, how much did Jaylen’s mother spend?
Answer:
She spent 37.05
Step-by-step explanation:
multiply both values
a parking lot contains only cars and motor bikes. if there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?
Answer:
Step-by-Step:5 cars and 14 bikes
In this case, how would it be resolved if it does not indicate any base, only brand X
The coordinates of the vertices of the square with height x is given as follows:
H(-x,x).I(0,x).J(0,0).K(-x,0).What is a square?A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.
The side length of the square in this problem is given as follows:
x.
As the height is equals to the base.
The vertex J represents the origin, hence it has coordinates given as follows:
J(0,0).
Then the remaining coordinates of the square are given as follows:
H(-x,x). -> x units left and x units up from the origin.I(0,x). -> x units up from the origin.K(-x,0). -> x units left from the origin.More can be learned about squares at https://brainly.com/question/30179630
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Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small commuter airlines must estimate passenger weights. Under the old rule, airlines used 180 pounds as a typical passenger weight (including carry-on luggage) in warm months and 185 pounds as a typical weight in cold months. The Alaska Journal of Commerce (May 25, 2003) reported that Frontier Airlines conducted a study to estimate average passenger plus carry-on weights. They found an average summer weight of 183 pounds and a winter average of 190 pounds. Suppose that each of these estimates was based on a random sample of 100 passengers and that the sample standard deviations were 20 pounds for the summer weights and 23 pounds for the winter weights.
Required:
a. Construct and interpret a 95% confidence interval for the mean summer weight (including carry-on luggage) of Frontier Airlines passengers.
b. Construct and interpret a 95% confidence interval for the mean winter weight (including carry-on luggage) of Frontier Airlines passengers.
c. The new FAA recommendations are 190 pounds for summer and 195 pounds for winter. Comment on these recommendations in light of the confidence interval estimates from Parts (a) and (b).
Answer:
a) The 95% confidence interval for the mean summer weight (including carry-on luggage) of Frontier Airlines passengers is between 179 and 187 pounds. This means that we are 95% sure that the mean summer weight of all Frontier Airlines passengers is between these two values.
b)
The 95% confidence interval for the mean winter weight (including carry-on luggage) of Frontier Airlines passengers is between 185.4 pounds and 194.6 pounds. This means that we are 95% sure that the mean winter weight of all Frontier Airlines passengers is between these two values.
c) They are respected, as the upper bound of both intervals is below the new FAA recommendations.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve these questions.
Question a:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9842\frac{20}{\sqrt{100}} = 4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 183 - 4 = 179 pounds.
The upper end of the interval is the sample mean added to M. So it is 183 + 4 = 187 pounds.
The 95% confidence interval for the mean summer weight (including carry-on luggage) of Frontier Airlines passengers is between 179 and 187 pounds. This means that we are 95% sure that the mean summer weight of all Frontier Airlines passengers is between these two values.
Question b:
Critical value is the same(same sample size and confidence level).
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9842\frac{23}{\sqrt{100}} = 4.6[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 190 - 4.6 = 185.4 pounds.
The upper end of the interval is the sample mean added to M. So it is 190 + 4.6 = 194.6 pounds.
The 95% confidence interval for the mean winter weight (including carry-on luggage) of Frontier Airlines passengers is between 185.4 pounds and 194.6 pounds. This means that we are 95% sure that the mean winter weight of all Frontier Airlines passengers is between these two values.
c. The new FAA recommendations are 190 pounds for summer and 195 pounds for winter. Comment on these recommendations in light of the confidence interval estimates from Parts (a) and (b).
They are respected, as the upper bound of both intervals is below the new FAA recommendations.
Equation of Exponential Functions
The table of values below represent an exponential function.
Write an exponential equation that models the data.
a. y = 11.76(1.3)× c. y = 11.76(0.7)×
b. y = 24(07)× d. y = 16.8(1.7)×
Please select the best answer from the choices provided.
Answer:
C. y = 11.76(0.7)×
Step-by-step explanation:
I calculated it logically
The exponential equation that models the data is y = 16.8×1.7ˣ.
What is a function?A relation is a function if it has only One y-value for each x-value.
y = a.rˣ is the exponential function.
We can see that the y-values are decreasing, which means that the growth factor must be between 0 and 1.
Additionally, we can divide the y-value for each x by the y-value for the previous x to get an estimate of the growth factor.
Using this method, we find that the growth factor is approximately 0.85, which means that a possible equation is y = a × 0.85ˣ.
To find the value of a, we can substitute one of the data points into the equation.
Lets use the point (-2, 24), we get:
24 = a × 0.85⁻²
a = 24 / 1.551
a = 15.456
Therefore, the exponential equation that models the data is y = 16.8×1.7ˣ.
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I think of a number, then divide by 4, then
add 75. If the result is 158, what number
did I first think of?
Answer:332
Step-by-step explanation:
Let x be the number
Using algebra
(x÷4)+75=158
(x÷4)=158-75
(x÷4)=83
x=83×4
x=332
Check
(332÷4)+75=158
least common number
( sorry i forgot what its called )
of 598 and 45
The least common multiple of 598 and 45 is 26, 910
How to find the least common multiple ?To find the least common multiple of 598 and 45, you can use the prime factorization method. This involves finding the prime factors of both 598 and 45 and then multiplying these prime factors when they are in their highest power.
This gives:
598 prime factorization :
2 x 13 x 23 = 598
45 prime factorization :
3 x 3 x 5 = 45
The least common multiple is;
= 2 x 13 x 23 x 3 x 3 x 5
= 26, 910
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Can someone solve this
Answer:
m=5
c=-7
Step-by-step explanation:
m is slope
c is the intercept on the y axis
Mark me brainliest pls
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Hi there!
[tex]\large\boxed{35 \text{ units}^2}[/tex]
Find the area of the parallelogram using the formula:
A = b × h
Thus:
A = 7 × 5 = 35 units²
Answer:
Step-by-step explanation:
I believe that the answer is 85
When 3x+2≤5(x-4) is solved for x, the solution is?
Answer: #4 x >l 11
Hope this helps
Step-by-step explanation:
8. if 9(x - y) = 30, find the following.
a) 18(x - y)
b) 6x - 6y
c) 9x-9y-9
Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.
Equation : what is it?An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.
Here,
Given : 9(x - y) = 30,
or (x-y) =30/9
To find :
a) 18(x - y) = ?
=> 2(9(x - y))
=> 2(30)
=> 60
b)6x - 6y = ?
=> 6(x-y) = 6(30/9)
=> 2*30/3
=> 20
c) 9(x-y)-9
=> 30 -9
=>21
Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.
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Help me out with these please!
No links to suspicious sites!
Answer:
1) N = 2. 2) -7/3
Step-by-step explanation:
1)
6 = 3n
6/3 = n
2 = n
n = 2
2)
-3 = 3t + 4
3t + 4 = -3
3t = -3 - 4
3t = -7
T = -7/3
here is my answer mate,
1)18
2)4
A store is designing the space for rows of nested shopping carts
(2x+1)(x-3)(x+5) expand and fully simplify
Answer:
2x^3+5x^2−28x−15
Step-by-step explanation:
Which of the following sets of ordered pairs represents a function?
OA. {(9,7), (0, -4), (8,4), (0,6) }
OB. {(0, 1), (0, -1), (2, 4), (5,6) }
OC. {(1, 8), (1, 0), (1, -8), (1, 1) }
OD. {(2,4), (0, 0), (4,8), (3,6)}
Edgar accumulated $5,000 in credit card debt. If the interest rate is 10% per year and he does not make any payments for 3 years, how much will he owe on this debt in 3 years by compounding continuously?
9514 1404 393
Answer:
$6749.29
Step-by-step explanation:
The balance is given by ...
A = Pe^(rt)
A = $5000·e^(0.10·3) ≈ $6749.29
Edgar will owe $6749.29.
The diagram shows a circle with center C, a diameter RS, and an inscribed triangle RST.
mZRTS = (4x -14)
What is the value of x?
Answer:
x = 26
Step-by-step explanation:
m<RTS = 4x - 14 (given)
Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)
Therefore,
4x - 14 = 90
4x - 14 + 14 = 90 + 14 (addition property of equality)
4x = 104
4x/4 = 104/4
x = 26