Identify the number that is 9.5 units from 2 on a number line
Answers
There are two such numbers.
One of them is 2 + 9.5 = 11.5.
The other one is 2 - 9.5 = -7.5.
_____
If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.
we have to find the number that is 9.5 units from 2 on a number line
Ithas2typesofnumber
such as:
- 2+9.5=11.5
- 2-9.5=-7.5
we can represented it on the number line
(See this attachment)
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Answers
Triangles add up to 180 degrees
30 + 50 = 80
180 - 80 = 100
When you indicate triangle congruency, the order of the letters matter. As you see these statements, look at how the side length names correspond to how the letters are written in its order, ΔABC ≅ ΔDEF. (By the way, triangles aren't equal with an = sign. It's a ≅ congruency sign.)
AB is congruent or the same length as DE.
BC is congruent or the same length as EF.
AC is congruent or the same length as DF.
In the same way, all of the angles in the corresponding order are ALSO congruent. By the way, we say that angles are congruent and angle MEASURES (like 30 degrees) are equal.
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
In the same way, we can try to find m∠C, or measure C!
1. Let's find the missing angle!
So, we know that m∠A is 50 degrees and m∠E is 30 degrees. Since we know that m∠E = m∠B because of the order of the triangles, now we know two of the angles in triangle ABC.
m∠A = 50 degrees
m∠B = 30 degrees
m∠C = 180 degrees - (50 + 30) = 100 degrees
(We minus from 180 degrees because 180 degrees is the sum of the angles in a triangle!)
And that's it! If you have any questions, please feel free to ask questions. I'm not here to judge, and I'm only here to help. Again, ask questions if you need help. It's crucial that you know the basics of geometry!
Answer:
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Answers
Hence , the sum is .
WHAT IS A POLYNOMIAL
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?
Given , we need to add and
.
So, we can write it as :
Writing like terms together:
Hence , the answer is .
Learn more about Algebraic expressions :
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Answer:f
(x)=x, g(x)=x3−1f(x)=x4+x3−11x2−5x+30, g(x)=2x−2f(x)=x2, g(x)=7x−1
in short ways the answer is 7x−1
Answers
Answer:
106
Step-by-step explanation:
x + x + 1 + x + 2=318
3x + 3=318
3x=318-3
3x=315
x=104 1st number
3rd no=104 + 2 = 106
Answers
This is because if you multiply, you’ll get the answer of 3/8 which is less than 1/2 (4/8) but not close to zero, thus leaving B as the best option.
Hope this helps!
Answers
Answer:
5.38
Step-by-step explanation:
Answers
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
Th The population mean
The standard deviation is
The values considered is
Given that the distribution of the amounts spent follows the normal distribution then the percent of the adults spend more than $2,550 per year on reading and entertainment is mathematically represented as
Generally
So
substituting values
From the normal distribution table the value of is
Thus
Final answer:
We calculate the z-score for the amount $2,550 using the given mean and standard deviation. The z-table gives us the percentage of people who spend less than this, which we subtract from 1 to find the percentage who spend more. Approximately 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
Explanation:
To compute the percentage of adults spending more than $2,550 per year, we must first find the z-score associated with this value. The z-score is a measurement of how many standard deviations a particular data point is from the mean.
The formula for calculating the z-score is: Z = (X - μ) / σ.
Where:
- X is the value we are interested in.
- μ is the mean.
- σ is the standard deviation.
Using this formula, the z-score for $2,550 is:
Z = ($2,550 - $1,999) / $574 = 0.96.
Next, we need to use a z-table or a standard normal distribution table to find out the probability that lies below the calculated z-score. Looking this up on a z-table, we get a value of 0.8315, meaning that 83.15% of the population will spend $2,550 or less per year on reading and entertainment. Since we want to know the percentage spending more than $2,550, we subtract this value from 1: 1 - 0.8315 = 0.1685.
Therefore, based on the given mean and standard deviation, about 16.85% of adults in the 25- to 34-year age group spend more than $2,550 on reading and entertainment each year.
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