The value of x from the given line segment is 5
Addition postulateA line is defined as the shortest distance between two points. From the given line segment, the addition below is true;
NM + ML = NL
Given
NM = 9
ML = 2x-7
NL = x + 7
Substitute to have:
9 + 2x - 7 = x + 7
2x + 2 = x + 7
2x-x = 7 - 2
x = 5
Hence the value of x from the given line segment is 5
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A bag contains 4 red marbles, 5 blue marbles, 6 yellow marbles, and 7 green marbles; Jonathan randomly grabs one marble, puts it back then draws a second marble. What is the probability that the first marble was red, and the second marble was green?
p ( first marble red ) = 4/22
p ( second marble green ) = 7/22
Since total number of marbles r 22, then the denominator is 22 also. When Jonathan puts back the red marble aft the first round, this means with replacement so there's no change in denominator for the second round.
Match each pair of polynomials to their sum. 12x2 3x 6 and −7x2 − 4x − 2 −2x − 2 2x2 − x and −x − 2x2 − 2 2x2 x x2 2 and x2 − 2 − x 2x2 9x − 2 x2 x and x2 8x − 2 5x2 − x 4.
To match each pair of polynomials to their sum, we need to perform the addition operation for each pair of polynomials. Pair 1: 5x^2 - x + 4 ,Pair 2: 2x^2 - 3x , Pair 3: -x^2 - x, Pair 4: 3x^2 + 9x - 2 ,Pair 5: 5x^2 - x + 4.
Let's go through each pair of polynomials and find their sum:
Pair 1:
12x^2 + 3x + 6
-7x^2 - 4x - 2
Sum: (12x^2 - 7x^2) + (3x - 4x) + (6 - 2) = 5x^2 - x + 4
Pair 2:
-2x - 2
2x^2 - x
Sum: -2x + 2x^2 - x = 2x^2 - 3x
Pair 3:
x^2 + 2
-x - 2x^2 - 2
Sum: (x^2 - 2x^2) + (-x) + (2 - 2) = -x^2 - x
Pair 4:
2x^2 + x
x^2 + 8x - 2
Sum: (2x^2 + x^2) + (x + 8x) + (0 - 2) = 3x^2 + 9x - 2
Pair 5:
5x^2 - x
4
Sum: 5x^2 - x + 4
In summary, the matches of the pairs of polynomials to their sums are:
Pair 1: 5x^2 - x + 4
Pair 2: 2x^2 - 3x
Pair 3: -x^2 - x
Pair 4: 3x^2 + 9x - 2
Pair 5: 5x^2 - x + 4
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I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
If a coin is tossed 5 times, and then a standard six-sided die is rolled 2 times, and finally a group of five cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible
The total number of different outcomes is: 32 × 36 × 2,598,960 = 188,956,800
To find the number of different outcomes, you need to multiply the number of outcomes of each event. Here, a coin is tossed 5 times. The number of outcomes is 2^5 = 32. The standard six-sided die is rolled 2 times. The number of outcomes is 6^2 = 36.
A group of five cards are drawn from a standard deck of 52 cards without replacement. The number of outcomes is 52C5 = 2,598,960. Therefore, the total number of different outcomes is: 32 × 36 × 2,598,960 = 188,956,800
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a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
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.
Mary works as a tutor for $12 an hour and a waitress for $15 an hour. This month she worked a combined total of 91 hours at her two jobs let t be the number of hours Mary worked as a tutor this month write an expression for the combined total dollar amount she earned this month
The combined total dollar amount earned by Mary this month is given by the expression "-3t + 1365".
The question asks us to find the total amount of money earned by Mary by working as a tutor and a waitress combined. We have been given that Mary earns $12 per hour as a tutor and $15 per hour as a waitress.Let the number of hours Mary worked as a tutor be t. As we know, the total number of hours worked by Mary is 91.
So, Mary must have worked (91 - t) hours as a waitress.So, the total money earned by Mary is given by: Total money earned = (Money earned per hour as a tutor × Number of hours worked as a tutor) + (Money earned per hour as a waitress × Number of hours worked as a waitress)⇒ Total money earned = (12 × t) + (15 × (91 - t))⇒ Total money earned = 12t + 1365 - 15t⇒ Total money earned = -3t + 1365.
So, the combined total dollar amount earned by Mary this month is given by the expression "-3t + 1365".Note: As the question asks for an expression, we do not need to simplify it. However, if we are required to find the actual dollar amount, we can substitute the value of t in the expression and then simplify it.
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Please help:
Sampling methods like Simple random sampling, Stratified sampling etc.
Answers:
cluster samplingstratified samplingsimple random samplingsimple random sampling====================================================
Explanation:
Problem 1
Cluster sampling is where we break a population into non-overlapping subsets. Each sub-group is known as a cluster. The clusters may or may not be the same size. We then randomly select as many clusters as needed. The drawback with this method is that some clusters are unfortunately left out. In this case, each state is a different cluster. Often when it comes to problems dealing with geography like this, cluster sampling is used (though not always). Once the clusters are selected, everyone in those clusters are surveyed. As you can see, this might be a monumental task if the clusters are quite large.
------------------------
Problem 2
The big issue with cluster sampling is that some clusters are left out. To fix this issue, stratified sampling breaks the population into non-overlapping groups, but this time members from each subgroup are sampled. Each group is known as a strata in this case, and we use stratified sampling. Keep in mind that not everyone is surveyed; rather, only a portion from each group is sampled. If you wanted to survey everyone, then you'd conduct a census. This term is not simply about counting people of an entire country. The term "census" is a population wide survey. Because a census is often very expensive, this is why statistics is important.
------------------------
Problem 3
The process of rolling a die is inherently random. There's no way to know the outcome on any given roll unless you somehow rigged the die (but at that point, the die is no longer random). Therefore, this process is simple random sampling.
------------------------
Problem 4
Like with problem 3, this process is also simple random sampling. Each name is randomly selected from the hat. There needs to be a fair number of names in the hat for the probabilities to remain roughly the same for each new selection. It's probably better to use computer software to make the process more fair/faster/efficient.
49 A numbered cube is rolled once. The cube is numbered from 1 through 6.
What is the probability that a 1 or 6 will be facing upward? Mark all that apply.
06
D
P
0
Answer:
Step-by-step explanation:
the answer would be A because it can be 1 or 6 so if 1/6 means just one number then 2 numbers would 2/6
Write an equation in slope-Intercept form from the polnts (-4,-2) and (-3,5)
y = 1/7x
y = 1/7x + 26
y = 7x + 26
x = 7y + 26
Answer:
y=7x+26
Step-by-step explanation:
First we have to find the slope of the lines.
(-4,-2)
(-3,5)
Our slope is going to equal 7
then we take a point and use it to find the equation
y--2=7(x--4)
y+2=7x+28
y=7x+26
how do u write 800% as a fraction in simplest form
Answer:
8/1
Step-by-step explanation:
because 800% is basically 800/100, when you divide both by 100 it would equal to 8/1 in simplest form
Frank spends $272.12 on 5 lawn mowers. The lawn mowers all cost the same amount what is the cost of each lawn mower?..
Answer:
1 360.6 that should be your answer right there
Step-by-step explanation:
Answer:
just add it 5 times and bring down the point
Step-by-step explanation:
in slope intercept form
y+3/5=-4(x-1/2)
Answer:
y = -4 + 1.4
Step-by-step explanation:
y+3/5 = -4(x-1/2)
y + 3/5 = -4x + 2
y + 0.6 = -4x + 2
y = -4 + 1.4
Factor the expression.
Answer:
Where is the expression at ?
Step-by-step explanation:
Which answer choice best describes the domain and range of the function for this
situation?
A.
Domain: All real numbers greater than or equal to 0 and less than or equal
to 100
Range: All real numbers greater than or equal to 0 and less than or equal
to 50
B.
Domain: (-2)
Range: (100)
Domain: All real numbers greater than or equal to 0 and less than or equal
to 50
Range: All real numbers greater than or equal to 0 and less than or equal
to 100
D.
Domain: (100)
Range:{-2)
D for balls
Step-by-step explanation:
trust the process
What is the smallest perfect square
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Real estate license candidates who score a 75 or better on the examination leave the test center with ______.
Real estate license candidates who score 75 or better on the examination leave the test center with their passing results or a certificate.
In order to obtain a real estate license, candidates must pass a state-administered exam that tests their knowledge of real estate principles, practices, and laws. The examination includes questions on a wide range of topics, including property ownership, financing, contracts, agency, property management, appraisal, and more.
If candidates obtain a passing score, that is 75 or higher, then they will leave the testing center with their results. Then, they will be granted a certificate that shows they have passed the examination. With this certificate, the candidate will apply for a real estate license through their state's regulatory body.
Once they receive their license, they can start working in the real estate industry as licensed agents, brokers, or other related professionals.
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Consider a sagmal x[n] having the corresponding Fourier transform X(c j
). What world be the fourier transfotm of the signal y(n)=3x[n]n n
) Select one X(e −(v−3n)
) 3X(e 3(∗+∗ 2
)
) π(x −λ(e−3)
) 3πX 2
(e s
) 3X(e −1(ein)
)
The correct Fourier transform of the signal y(n) = 3x[n]n (n) is 3X(e−j(v−3n)).
Explanation:
Given information: a signal x[n] having the corresponding Fourier transform X(c j), and another signal y(n) = 3x[n]n (n) .
We know that, the Fourier transform of y(n) is given by:
Y(e^jv)=sum from - infinity to infinity y(n)e^jvn.
where y(n) = 3x[n]n (n)
Substituting y(n) in the above equation, we get:
Y(e^jv) = 3 * sum from - infinity to infinity x[n]n (n) * e^jvn.
We know that, the Fourier transform of x[n]n (n) is X(e^j(v-2pi*k)/3).
Therefore, substituting the value of y(n) in the above equation, we get:
Y(e^jv) = 3 * sum from - infinity to infinity x[n]n (n) * e^jvn
= 3X(e^j(v-3n)).
Hence, the Fourier transform of the signal y(n) = 3x[n]n (n) is 3X(e−j(v−3n)).
Conclusion: The correct Fourier transform of the signal y(n) = 3x[n]n (n) is 3X(e−j(v−3n)).
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Given g(x)=−2x2+1, find the indicated values: g(0)
Answer:
g(0) = 1
Step-by-step explanation:
Plug 0 into the function:
g(x) = -2x² + 1
g(0) = -2(0)² + 1
g(0) = -2(0) + 1
g(0) = 0 + 1
g(0) = 1
A line that includes the point (0, –16) has a slope of–17/2. What is its equation in slope - intercept form?
Evaluate n2-m; use m=7, and n=8
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
(8)*2-7
16-7
9
Make sure to follow PEMDAS!
What are the coordinates of the image of the point (-3, 6) after a dilation with a center of (0, 0) and scale factor of 1/3?
A. (-9, 18)
B. (-3, 6)
C. (-1,2)
D. (0,0)
Answer:
C
Step-by-step explanation:
since the dilatation is centred at the origin then multiply the coordinates of the point by scale factor of \(\frac{1}{3}\)
(- 3, 6 ) → (\(\frac{1}{3}\) (- 3), \(\frac{1}{3}\) (6) ) → (- 1, 2 )
which is perpendicular to the line x-2y=2
Answer:
y=-2x+5
Step-by-step explanation:
x-2y=2
2y=x-2
y=(x-2)/2
so the slope is 1/2
for lines to be perpendicular m1m2=-1 so the line must have a slope satisfying the condition
(1/2)m=-1
m=-2
the only line with a slope of -2
If is wrong i'm sorry
Change the negative exponent
to a positive exponent.
8-6
[?]
][
Enter
The positive power is 1/\(8^6\).
What is exponents and power?Exponent rules are the laws that are applied to simplify exponent-based expressions. Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements.
Laws are as follows:
\(a^0\)= 1\(a^1\) = a\(a^m\) × \(a^n\) = \(a^{m+n\)\(a^m / a^n = a^{m -n\\\)\(a^{-m }= 1/ a^m\)Given:
\(8^{-6\)
Using the laws of exponents
\(a^{-m }= 1/ a^m\)
\(8^{-6}\)
= 1/\(8^6\)
= 1 / (2 x 2 x2\()^{6}\)
Hence, the positive power is 1/\(8^6\).
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Solve for the value of x
Answer:
i think is 12
Step-by-step explanation:
if sum 4x + 8 = 12x
u convert them youll get this
x = 12
Please answer all questions please help fast and have a great night!
Answer:
1. is 4
Step-by-step explanation:
im not sure about 2 im sorry
the lifetime of a certain type of battery can be approximated by a normal distribution. the list gives the number of hours of battery life of 10 batteries selected at random. find the mean and standard deviation of the data set. then sketch a normal curve to represent the distribution. 24, 24, 32, 14, 22, 34, 20, 26, 17, 29
Answer: mean= 24.2 and the standard deviation is 6.0 :)
Step-by-step explanation: this is because when you solve for the equation the result for the standard deviation is 6.3 but if you round the number, it becomes 6.0, being the standard deviation.
Help I will be marking brainliest!!!
A. 28.8
B. 36
C. 48
D. 38.4
Answer:
It would be rounded up to 30
Step-by-step explanation:
I guessed and got it right
Answer:
RT will be 36
But don't know how to find TA that is what asked in the question
question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
(-1)2009 + (-1)2000 integers .solve this
Answer: -4009
Step-by-step explanation: hope this helps!
Answer:
-4009
- I'm not 100% sure but if you want to double check you can use a website like M4thw4y (the 4's stand for a's) for help. Hope this helps.
If WX is 3 and XY is 9, what is VW?
By Pythagorean formula and proportion formula, the length of side VW is equal to 6 units. (Right choice: C)
How to use similarity ratios to find the missing length
Herein we find a geometric system formed by two right triangles, in which two side lengths are known (WX, XY) and we need to determine the length of side VW.
Both triangles XVW and XYW are similar, where they share the same internal angles and proportional corresponding pair of sides. Then, the system is represented by following proportion formula:
XV / WX = XY / XV
XV² = XY · WX
XV = √(XY · WX)
If we know that XY = 9 and WX = 3, then the value of XV is:
XV = √27
XV = 3√3
Then, the side VW is found by Pythagorean theorem:
VW = √(WX² + XV²)
VW = √(3² + 27)
VW = 6
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