Answer:
-110
Step-by-step explanation:
105 - (-5) = 110 but it’s dropping so it’s -110
caitlyn needs to mail a usb drive to a friend. she uses 40-cent stamps and 7-cent stamps to pay $1.76 in postage. how many of each stamp did caitlyn use?
He used five 40-cent stamps and eight 7-cent stamps.
Let x stand for how many 40-cent stamps he applied.
Let y stand in for the quantity of 7-cent stamps he applied.
41 cents = 40/100 = $0.40
7 cents = 7/100 = $0.07
To cover the $2.56 in postage, he uses 40-cent and 7-cent stamps. That implies
0.4x + 0.07y = 2.56
When you multiply something by 100, you get
40x + 7y = 256
7y = 256 -40x
The accompanying x and y values must both be whole numbers in order to satisfy the equation.
If x = 4,
7y = 256 - 40 × 4 = 96
y = 96/7 = 13.71
If x = 5,
7y = 256 - 40 × 5 = 56
y = 56/7 = 8
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This implies that H=[7t 0 -5] show that H is a subspace of R³Any vector in H can be written in the form tv = [7t 0 -5] where v =Let H be the set of all vectors of the form Why does this show that His a subspace of R3? A. It shows that H contains the zero vector, which is all that is required for a subset to be a vector space. B. It shows that H is closed under scalar multiplication, which is all that is required for a subset to be a vector space. C. For any set of vectors in R3, the span of those vectors is a subspace of R. D. The vector v spans both H and R3, making H a subspace of R3. E. The span of any subset of R3 is equal to R3, which makes it a vector space. F. The set H is the span of only one vector. If H was the span of two vectors, then it would not be a subspace of R3
H is closed under scalar multiplication and vector addition, and hence it is a subspace of R³.
The correct answer is B.
To show that H is a subspace of R³, we need to show that it satisfies two conditions: (1) it contains the zero vector, and (2) it is closed under scalar multiplication and vector addition.
Condition (1) is satisfied since we can set t=0 in the expression tv=[7t 0 -5] to get the zero vector [0 0 0],
which is in H.
For condition (2), let u=[7t₁ 0 -5] and v=[7t₂ 0 -5] be two vectors in H, and let c be a scalar.
Then,
cu = c[7t₁ 0 -5] = [7ct₁ 0 -5c]
which is also in H since it has the same form as the vectors in H.
Also,
u + v = [7t₁ 0 -5] + [7t₂ 0 -5] = [7(t₁+t₂) 0 -10]
which is also in H since it has the same form as the vectors in H.
Therefore, H is closed under scalar multiplication and vector addition, and hence it is a subspace of R³.
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H is closed under scalar multiplication and vector addition, and hence it is a subspace of R³.
The correct answer is B.
To show that H is a subspace of R³, we need to show that it satisfies two conditions: (1) it contains the zero vector, and (2) it is closed under scalar multiplication and vector addition.
Condition (1) is satisfied since we can set t=0 in the expression tv=[7t 0 -5] to get the zero vector [0 0 0],
which is in H.
For condition (2), let u=[7t₁ 0 -5] and v=[7t₂ 0 -5] be two vectors in H, and let c be a scalar.
Then,
cu = c[7t₁ 0 -5] = [7ct₁ 0 -5c]
which is also in H since it has the same form as the vectors in H.
Also,
u + v = [7t₁ 0 -5] + [7t₂ 0 -5] = [7(t₁+t₂) 0 -10]
which is also in H since it has the same form as the vectors in H.
Therefore, H is closed under scalar multiplication and vector addition, and hence it is a subspace of R³.
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Find each measurement. Assume that each figure is not drawn to scale.
1. NQ
1 in.
2. GH
F
9.7 mm
G
H
Р
N
15 mm
Find the value of x and YZ if Y is between X and Z.
3. XY = 2x + 1, YZ = 6x, and XZ = 81
Answer:
1) 2 1/4 inches (2.25)
2) 5.3 millimeters
3) X=10 and YZ=60
Step-by-step explanation:
Number 1, you just add the measurements because n and q is the start and end of the line segment.
Number 2, you are given the whole measurement, and you know FG which is 9.7, so you subtract the 15 (whole measurement) by 9.7, which is 5.3.
Number 3, you know that XY and YZ equal XZ, so 8x+1 would equal 81. Do the math, you would get 8x=80 and then x=8. Now you know x, plug it in for 6x, so 6(10)=60.
This question is from my final exam review:
Let n be a randomly selected integer from 1 to 15. Find P(n < 10 | n is prime). Round to the nearest hundredth and put your answer as a DECIMAL. So, if your answer is 37%, then put .37 in the answer box.
The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).
To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.
The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.
The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).
As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.
Thus, 0.67 is the answer.
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how many 25s are in 2
Answer: is the same as asking "How much is 25 divided by 2?" Thus, the answer can be calculated as follows: 25/2 = 12.5. "How many times does 2 go into 25?" is also the same as asking "What (x) do you multiply by 2 to get 25?" We solve the problem with an easy algebra equation:
2(x) = 25
x = 12.5
Step-by-step explanation:
one of the most serious health problems in india is malaria. consequently, indian hospital administrators must have the resources to treat the high volume of malaria patients that are admitted. a research institute investigated whether the malaria admission rate is higher in some months than in others. in a sample of 192 hospital patients admitted in january, 32 were treated for malaria. in an independent sample of 403 patients admitted in may (4 months later), 34 were treated for malaria.a). give a point estimate of the difference in the malaria admission rates in january and may.answer:
The point estimate of the difference in malaria admission rates between January and May can be calculated by comparing the proportions of patients treated for malaria in each month.
In January, out of 192 patients, 32 were treated for malaria, giving a proportion of 32/192 = 0.1667. In May, out of 403 patients, 34 were treated for malaria, giving a proportion of 34/403 = 0.0844.
The point estimate of the difference in malaria admission rates is obtained by subtracting the proportion in May from the proportion in January: 0.1667 - 0.0844 = 0.0823. Therefore, the point estimate of the difference in malaria admission rates between January and May is approximately 0.0823.
This means that the estimated difference in the proportion of malaria patients admitted in January compared to May is approximately 8.23 percentage points. However, it's important to note that this is just a point estimate based on the given sample data. To determine the statistical significance of this difference and draw more conclusive insights, further statistical analysis, such as hypothesis testing, would be required.
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I really need help. It's with linear equations.
Answer:
-40
Step-by-step explanation:
pls give me brainleist
Use this information to write an equation and solve the following problem. When you count by ones from any integer, you are counting consecutive integers. Using variables, three consecutive integers are x, x + 1, and x + 2. The sum of three consecutive integers is 48. What are they? Write an equation to represent the situation and solve. Show all of your work.
Answer:
19
Step-by-step explanation:
divide
The standard deviation of pulse rates of adult males is more than 12 bpm. For a random sample of 159 adult males, the pulse rates have a standard deviation of 12.8 bpm. a. Express the original claim in symbolic form.
The original claim that the standard deviation of pulse rates of adult males is more than 12 bpm can be expressed in symbolic form as H₀: σ > 12 bpm. This notation represents the null hypothesis that is being tested against the alternative hypothesis in a statistical analysis.
a) The original claim can be expressed in symbolic form as follows:
H₀: σ > 12 bpm
In this notation, H₀ represents the null hypothesis, and σ represents the population standard deviation of pulse rates of adult males. The claim states that the population standard deviation is greater than 12 bpm.
In statistical hypothesis testing, the null hypothesis (H₀) represents the default assumption or the claim that is initially presumed to be true. In this case, the claim is that the population standard deviation of pulse rates of adult males is more than 12 bpm.
The notation σ is commonly used to represent the population standard deviation, while 12 bpm represents the value being compared to the population standard deviation in the claim.
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The sum of two numbers is 51. The smaller number is 17 less than the larger number. What are the numbers?
Larger number
smaller number
Answer:
smaller number = 17, larger number = 34
Step-by-step explanation:
Let x be the smaller number and y be the larger nuber
x + y = 51 --(1)
y - 17 = x --(2)
Sub (2) into (1)
y - 17 + y = 51
y = 34
Put y = 34 into (2)
34 - 17 = x
x = 17
Ans: smaller number = 17, larger number = 34
Answer:
Let get large number is x and small number as y.
sum of two numbers is 51.(small number + large number = 51)
ie. x +y =51 --------(1)
The smaller number is 17 less than the larger number.
x-y = 17 ------------(2)
(1) +(2);
(x + y ) + (x - y) = 51 +17
2x = 68
x=34
Substituted for (1);
x + y =51
34 + y =51
y= 51 -34
y= 17
Step-by-step explanation:
consider the function a(X) = -X^3 + 8 and function b modeled by this graph
which statement describes the relationship between the intercepts of functions a and b
A. the y-intercept of b is less than the y-intercept of a
B. the x-intercept of b is equal to the x-intercept of a
C. the x-intercept of b is greater than the x-intercept of a
D. the y-intercept of b is equal to the y-intercept of a
The y-intercept of both the functions a(x) and b(x) are the same. Then the correct option is D.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
Consider the function a(x) = - x³ + 8 and function b modeled by this graph.
Then the graph of a(x) and b(x) is shown below.
Then the y-intercept of both the functions a(x) and b(x) are the same.
And the x-intercept of the function a(x) is 2 and b(x) is negative 2.
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Answer:
the y-intercept of b is equal to the y-intercept of a
Step-by-step explanation:
|x-3|+|x+2|-|x-5| if 3
|x-3|+|x+2|-|x-5| if x<-2
|x-3|+|x+2|-|x-5| if -2
pls help
i will give brainliest
|x-3|+|x+2|-|x-5| can be broken down into three separate cases based on the value of x:
(x-3) + (x+2) - (x-5) = 2x + 4
(x-3) + (x+2) - (5-x) = 2x - 6
-(x-3) - (x+2) - (5-x) = -3x - 4
We break down the expression into three separate cases based on the value of x. This is because the absolute value function creates "turning points" at which the behavior of the expression changes. We analyze the expression for each case and simplify it to obtain the final answer. The answer depends on the value of x, and we must consider the expression separately for each case.
If x ≥ 5, then the expression becomes:
(x-3) + (x+2) - (x-5) = 2x + 4
If -2 ≤ x < 3, then the expression becomes:
(x-3) + (x+2) - (5-x) = 2x - 6
If x < -2, then the expression becomes:
-(x-3) - (x+2) - (5-x) = -3x - 4
Therefore, the final answer depends on the value of x. If x is greater than or equal to 5, then the answer is 2x + 4. If x is between -2 and 3, then the answer is 2x - 6. And if x is less than -2, then the answer is -3x - 4.
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Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}.
Answer:
27
Step-by-step explanation:
Evaluate from the inside out, that is
Evaluate h(2) , then use the value obtained to evaluate g(x) and the value obtained here to evaluate f(x) , that is
h(2) = 2² = 4 , then
g(4) = 3(4) + 2 = 12 + 2 = 14, then
f(14) = 2(14) - 1 = 28 - 1 = 27
The range of the graph of this equation is (-7, +[infinity]).
y = x5 + 11x - 14x² - 12
True
False
►
The correct answer is True. The range of the graph of the equation y = x^5 + 11x - 14x² - 12 is not (-7, +∞), but rather (-∞, +∞). The graph of the equation y = x5 + 11x - 14x² - 12 has a range of (-7, +[infinity]).
The range of a function or equation is the set of all possible output values (y-values) that the function can produce. In other words, it is the vertical spread of the graph. For example, if the range of a graph is (-3, 5), it means that the y-values of the graph can be any number between -3 and 5, inclusive. Next, let's look at the given equation y = x5 + 11x - 14x² - 12. To determine the range of this equation, we need to find the maximum and minimum y-values that it can produce. One way to do this is by finding the vertex of the parabola formed by the quadratic term -14x². The x-coordinate of the vertex is given by -b/2a, where a and b are the coefficients of the quadratic term. In this case, a = -14 and b = 11, so the x-coordinate of the vertex is x = -11/(-2*-14) = 11/28.
The statement that the range of the graph of the equation y = x5 + 11x - 14x² - 12 is (-7, +[infinity]) is true. This is because the equation is a polynomial of odd degree and has no maximum y-value. The minimum y-value that it can produce is -71/28, which is greater than -7. Therefore, any y-value greater than -7 is possible.
Your question is about the range of the graph of the equation y = x^5 + 11x - 14x² - 12 and whether the given range, (-7, +∞), is true or false.
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The average of 2, 7, 8, and 11
Answer:
7
Step-by-step explanation:
To find the average add all the numbers and divide that by the numbers of terms you added together.
28/4 = 7
Answer:
7
Step-by-step explanation:
2+7+8+11= 28
28/4= 7
To get the average of numbers, you have to add up all the terms then divide the number you got by how many terms you have.
A square has an area of 200 square feet. Between what two consecutive integers would the
length of each side fall?
HELP ME PLEASE
Answer:
14 & 15
Step-by-step explanation:
The area of the square is given by the equation: \(A = s^2\) so therefore the length of the side is: \(s = \sqrt{A}\).
So we take \(s = \sqrt{200} = 14.14\)
And this is between the integers 14 and 15.
Answer:
Please don't cheat Elina, it isn't worth it, what do you gain?
THIS IS BEING FORWARDED TO OUR SCHOOL ADMINISTRATION AND BEING ARCHIVED BY ARCHIVE.IS, ALL OF YOUR QUESTIONS ARE ON OUR SCHOOL TESTS.
Step by Step explanation:
Rather than eating hot cheetos and facetiming your friends such as hi*za and reb***a you should study! Studying is the key to success rather than gossip and other stuff. The answer is wisdom, nothing less and nothing more. Go on the right path to success not the wrong way. Oh and, I ain't never seen two pretty best friends, it's always one of them that gotta be ugly.
a door was rolled 60 times. it landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times. How many times was there rolled in there 60 times?
The die was rolled 7 times in there 60 times if it is landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times.
What is meant by probability?Probabilities are mathematical explanations of the probability of an event occurring or of a proposition being true. The probability of an event is expressed as a number between 0 and 1, where 0 often indicates impossibility and 1 generally indicates certainty.
Given,
Number of times a die rolled=60
And also given that it landed on,
One --- 11 times
Two -----9 times
Four -----12 times
Five -----12 times
Six -------8 times
Total number of times the die was landed on is 52 times.
Therefore, total number of times a die was rolled=60
S0, 52+x=60
x=7
Therefore, the die was rolled 7 times in there 60 times.
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simplify
a)6+[12-5 multiply by 2 +{2+ small bracket 8 divided by 4 -2 small bracket curley bracket ]
make a meaningful question and solve this
only for math legends who are the dad of albert einstein
Answer:
8
Step-by-step explanation:
\(6 + 12 - 5 \times 2 + 2(8 \div 4 - 2)\)
\(6 + 12 - 10 + 2(2 - 2)\)
\(6 + 12 - 10 + 2 \times 0\)
\(6 + 12 - 10 + 0\)
\( = 8\)
the area of a rectangle is the same as the area of a square of side 12cm if the rectangle is 16cm long find its width
Answer:
9
Step-by-step explanation:
first find the square's area by multiplying 12 × 12 to get 144
then divide 144 ÷ 16 to find the width which is 9
Find the five-number summary for the data. {232, 198, 214, 205, 222, 228, 208, 237, 217, 199, 213, 208, 228, 224, 203}
Answer:
The five number summary are;
The minimum is 198
The 1st quartile, Q₁, is 205
The 2nd quartile, Q₂, or median is 214
The 3rd quartile, Q₃, is 228
The Maximum is 237
Step-by-step explanation:
The numbers are;
232, 198, 214, 205, 222, 228, 208, 237, 217, 199, 213, 208, 228, 224, 203
Which can be rearranged in increasing order as follows;
198, 199, 203, 205, 208, 208, 213, 214, 217, 222, 224, 228, 228, 232, 237
The five number summary are;
The minimum = The lowest number in the list = 198
The 1st quartile, Q₁, is the (n + 1)/4 th term which is (15 + 1)/4 = 4th term = 205
The 2nd quartile, Q₂, or median is the (n + 1)/2 th term which is (15 + 1)/2 = 8th term = 214
The 3rd quartile, Q₃, is the 3×(n + 1)/4 th term which is 3×(15 + 1)/4 = 12th term = 228
The Maximum = The highest number in the list = 237.
Please answer with the work shown
The perimeter first figure that is made of a square and equilateral triangle is 52 cm.
What exactly are squares?
A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.
A square's most significant qualities are
The four inner angles are 90 degrees.The four sides of the square are congruent, or equal.The square's opposing sides are parallel.The diagonals of the square intersect at 90°.The square's two diagonals are equal to each other.The diagonal of a square is divided into two isosceles triangles.
Square area=(side)²
Square perimeter=4*side
Now,
For first figure given that
sides of square are 14 cm in length
and length of side of equilateral triangle are=5 cm
but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.
So, perimeter=3*14+2*5
=42+10
=52 cm
hence,
The perimeter first figure 52 cm.
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Discount distributors has 3 dozen of eggs for $9 and cost right has a 30 eggs carton for $5.
Which one is a better deal? (Show working to support your answer)
Answer:
The second deal, 30 egg carton for $5, is better.
Step-by-step explanation:
1. Find how many eggs are in 3 dozen:
Dozen = 12 12 x 3 = 36
2. Find the value of 1 egg for each deal:
Deal 1: 36 eggs = $9
Divide 9 by 36, to find how much is 1 egg is:
9/36 = 0.25
Hence, in the first deal the value of 1 egg is 0.25 cents.
Deal 2: 30 eggs = $5
Divide 5 by 30, to find how much is 1 egg is:
5/30 = 0.16666666666 or 0.17
Hence, in the second deal the value of 1 egg is 0.17 cents.
3. Now we compare the two egg values:
Deal 1 value: 0.25 per egg
Deal 2 value: 0.17 per egg
If we look at the two values, the value for the second deals egg is cheaper than the value of the first deals egg, making the second deal better.
A rectangular prism has a width of 4 inches, a height of 6 inches, and a total volume of 192 cubic inches. What is the length of the rectangular prism?
6 inches
8 inches
12 inches
15 inches
Answer:
8 inches
Step-by-step explanation:
V= LWH
H= V / (W x H)
H= 192 divided by (4 x 6)
H= 192 divided by 24 = 8
thus the length is 8 inches
Answer:
8
Step-by-step explanation:
the population mean will always be the same as the mean of all possible that can be computed from samples of size 15. true false
False, the population mean will always not be the same as the mean of all possible that can be computed from samples of size 15.
The mean of all possible samples of size 15 (also known as the sampling distribution mean) will be centered around the population mean, but it may not necessarily be exactly the same as the population mean. The sampling distribution mean can be thought of as an estimate of the population mean, and its accuracy will depend on factors such as the sample size and the variability of the population. However, as the sample size increases, the sampling distribution mean will become a better and more accurate estimate of the population mean.
In statistics, a sample is a subset of a population that is used to estimate or infer information about the population. The mean of a sample is the average of the observations in the sample, and the population mean is the average of all the observations in the entire population.
The mean of all possible samples of a fixed size, taken from a population, is called the sampling distribution mean. The sampling distribution mean is a theoretical concept and is not based on any specific sample. It is the distribution of all possible sample means that could be obtained from the population.
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find the slope of the line passing through the points (-8,-8) and (2,-8)
Answer:
The slope is -8 :)
Step-by-step explanation:
trust me
please help me with my math task!!
Alberto wants to make a model of the Wright brother's glider.
1) The wingspan of the scale model must be between 15cm and 18cm. What scale factor should he use? (Remember to first convert m to cm.)
2) What will be the length of the model glider? Show your work in the box below.
3) What will be the wingspan of the model glider? Show your work in the box below.
4) What will be the height of the model glider? Show your work in the box below
1) If the wingspan of the scale model must be between 15 cm and 18 cm, the scale factor that should be used is 0.0153.
2) The length of the model glider, based on the above scale factor, will be 3.67 cm.
3) The wingspan of the model glider will be 15 cm.
4) The height of the model glider will be 3.67 cm.
What is the scale factor?The scale factor is the ratio between the scales of a given original object and the scale model.
When the scale factor scales down the original measurement, the formula is Dimension of the new shape ÷ Dimension of the original shape.
When the scale factor scales up the original measurement, the formula is Dimension of the original shape ÷ Dimension of the new shape.
Glider's Original Measurements:Wingspan = 9.8 m
Height = 2.4 m
Length = 4.9 m
Wing Area = 28.3 m²
100 cm = 1 m
The expected wingspan of the scale model must be between 15 cm and 18 cm, and the scale factor that should be used = 15/980 = 0.0153.
Length of the model = 4.9 m
= 490 cm x 0.0153
= 7.5 cm
Wingspan = 9.8 m
= 980 cm x 0.0153
= 15 cm
Height = 2.4 m
240 x 0.0153
= 3.67 cm
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-6( x - 4 ) = 54 what does x equal
Answer:
x=216
Step-by-step explanation:
6^x/4=54
We move all terms to the left:6^x/4-(54)=0
We multiply all the terms by the denominator6^x-54*4=0
We add all the numbers together, and all the variables6^x-216=0
We move all terms containing x to the left, all other terms to the right6^x=216
x=216/1
x=216
Answer:
\( - 6(x - 4) = 54 \\ - 6x + 24 = 54 \\ - 6x = 54 - 24 \\ - 6x = 30 \\ \frac{ - 6x}{6} = \frac{30}{6} \\ - x = 5 \\ ( - x = 5) \times - 1 \\ x = - 5\)
Janice is 7 years older than Tam. Complete the table, and then graph this situation.
Tam
x(years)
2 9
4 ?
6 ?
8 ?
Answer:
The table in the exercise can be completed with the next results:
x y 2 9 4 11 6 13 8 15Step-by-step explanation:
As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:
y = x + 7Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:
When x is 2:
y = 2 + 7y = 9When x is 4:
y = 4 + 7y = 11When x is 6:
y = 6 + 7y = 13When x is 8:
y = 8 + 7y = 15At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.
10x-9y= 24,
Y= x-2
X =?
Y=?
Answer:
X= 6
Y=4
Step-by-step explanation:
10x-9x=24
10x-9(x-2)=24
10x-9x+18=24
x=24-18
x=6
Y=x-2
Y=6-2
Y=4
If another teacher with an age of 45 is added to the data, how would the mean be impacted?
The mean would decrease in value to about 41.
The value of the mean would remain the same at about 44.
The value of the mean would remain the same at about 46.
The mean would increase in value to about 47.
Answer:
As we do not have any information about the ages of the existing teachers in the data set, we cannot determine the exact impact of adding a teacher with an age of 45 on the mean.
However, we can make some general observations. If the age of the new teacher (45 years) is less than the mean age of the original data set, then the addition of the new teacher would decrease the mean age. Conversely, if the age of the new teacher is greater than the mean age of the original data set, then the addition of the new teacher would increase the mean age.