place the numbers 2 , 6 , 7 , 8 , and 9 in the circles so that the sums across (horizontally) and down (vertically) are equal. which number will you place in the middle?
Answers
The number 7 will be placed in the middle circle.
To place the numbers 2, 6, 7, 8, and 9 in the circles so that the sums across and down are equal, you can use the following method:
1. Place the median number (7) in the middle circle.
2. Place the two smallest numbers (2 and 6) on either side of the median number.
3. Place the two largest numbers (8 and 9) in the top and bottom circles.
Here is a list of them. Each group of three numbers makes up a side of the triangle. Of course, within a side you can replace round numbers that are not on a corner, but that does not really give any new solutions.
So, the final arrangement would be:
6 2 7
9 8 7
6 2 7
Therefore, the number 7 will be placed in the middle circle.
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Related Questions
TRUE OR FALSE: The alternative hypothesis states that there is no difference/no effect.
Answers
The answer is FALSE. The alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.
The alternative hypothesis is a statement that contradicts the null hypothesis and is generally the hypothesis that the researcher wants to support. It is a statement that there is a difference or an effect in the population being studied.
In hypothesis testing, the null hypothesis is a statement that there is no difference or no effect in the population being studied. The null hypothesis is typically the default hypothesis, which is assumed to be true unless evidence suggests otherwise. The alternative hypothesis, on the other hand, is a statement that there is a difference or an effect in the population being studied, and it is typically the hypothesis that the researcher wants to support.
For example, if a researcher wants to test the effectiveness of a new drug, the null hypothesis might be that the drug has no effect on the condition being treated, while the alternative hypothesis might be that the drug has a positive effect on the condition being treated.
In summary, the alternative hypothesis is a statement that there is a difference or an effect in the population being studied, and it contradicts the null hypothesis, which is a statement that there is no difference or no effect in the population being studied.
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Find the discriminant value of 25q^2-40q+16=0
Please show work!!!
Answers
The discriminant value of a quadratic equation is b^2 - 4ac.
We can see here, in this quadratic equation, 25 is a, 40 is b and 16 is c (as in ax^2 + bx + c)
Applying it to the discriminant value = 40^2 - 4 x 25 x 16 = 1600 - 1600 = 0.
(And since the discriminant value is 0, the quadratic function has 1 repeated real root.)
Billy makes $5 a week in allowance plus $4 for each lawn that he mows.
This week Billy wants to make over $15. Select the inequality for the
number of lawns he needs to mow.
Answers
Answer:
$15 < $4n + $5
Step-by-step explanation:
We know that Billy needs to make more than $15 between his allowance and the lawns that he mows. This means our inequality should include $15<. Also, since Billy will make $4 per lawn, that means we need to multiply $4 by the number of lawns he needs to mow, n: $4n. So far we have the following: $15<$4n. Next, we know that he makes $5 each week, on top of what he makes mowing each law. This means we need to add the $5 to the $4n. When we put all of these pieces together, we will get the following inequality: $15<$4n+$5
In Part C, you are asked to calculate the volume of a rectangular prism that has a length of 5.6 cm, a width of 2.1 cm, and a height of 6.6 cm. What value should you use as the area of the base when calculating the answer to Part C?
Answers
The area of the base (11.76 cm²) by the height (6.6 cm), resulting in a volume of 77.616 cm³ for the rectangular prism. Volume of a rectangular prism in Part C, we need to multiply the length, width, and height of the prism.
The volume of a rectangular prism is V = l x w x h. In this case, the length is 5.6 cm, the width is 2.1 cm, and the height is 6.6 cm. Therefore, the answer to Part C would be V = 5.6 cm x 2.1 cm x 6.6 cm = 78.624 cm³. When calculating the volume, we need to use the area of the base of the rectangular prism, which is equal to the length multiplied by the width. So, in this case, the area of the base would be 5.6 cm x 2.1 cm = 11.76 cm². Using this value, we can calculate the volume of the rectangular prism as mentioned above.
We need to use the formula V = l x w x h, where the length, width, and height are given. The area of the base, which is equal to the length multiplied by the width, should be used when calculating the volume of the rectangular prism.
To calculate the volume of a rectangular prism, you need to multiply the area of the base by the height. In this case, the base is a rectangle with a length of 5.6 cm and a width of 2.1 cm. Multiply the length by the width. So, 5.6 cm × 2.1 cm = 11.76 cm². This is the value you should use as the area of the base when calculating the answer to Part C.
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A triangle has a perimeter of 9x 6. the first side of the triangle has a length of 5x, and the second side has a length of 3x − 7. what is the length of the third side of the triangle? x 13 x − 1 8x − 7 17x − 1
Answers
The length of the third side of a triangle with perimeter 9x + 6 and measures of other two sides of the triangle is equal to option a. x + 13.
Perimeter of the triangle is equal to
= 9x + 6
First side of the triangle = 5x
Second side of the triangle = 3x - 7
Let 'n' be the third side of the triangle
perimeter of the triangle = 9x + 6
⇒ 5x + 3x - 7 + n = 9x + 6
⇒ n + 8x - 7 = 9x + 6
⇒ n = 9x -8x + 6 + 7
⇒ n = x + 13
Therefore, the third side of the triangle with given perimeter of the triangle is equal to option a. x + 13.
The above question is incomplete , the complete question is :
A triangle has a perimeter of 9x + 6. the first side of the triangle has a length of 5x, and the second side has a length of 3x − 7. what is the length of the third side of the triangle?
a. x + 13 b. x − 1 c. 8x − 7 d. 17x − 1
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Find the slope of the line that passes through the points (3,2) and (-12,-15).
Answers
Given two points of a line, (x₁, y₁) and (x₂, y₂), we can find the slope of the line, m, using the fllowing equation:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Since we have the points (3, 2) and (-12, -15), the slope is:
\(\begin{gathered} m=\frac{-15-2}{-12-3}=\frac{-17}{-15}=\frac{17}{15} \\ m=\frac{17}{15} \end{gathered}\)Look at the picture of the graph below, select all the answers
that apply to the graph.
Answers
And the discriminant is a positive value. (Since there are 2 solution or roots, that means the discriminant value must be positive)
- if you want to check to make sure it’s a positive value (visually the graph tells you it’s positive) you would find the equation of the curve then plug in the formula b^2-4ac
Solution 1: (0,-5)
Solution 2: (0,-3)
Consider 3 data points (-2,-2), (0,0), and (2,2)
(a) What is the first principal component?
(b) If we project the original data points into the 1-D subspace by the principal you choose, what are their coordinates in the 1-D subspace? What is the variance of the projected data?
(c) For the projected data you just obtained above, now if you represent them in the original 2-D space and consider them as the reconstruction of the original data points, what is the reconstruction error?
Answers
The first principal component is the line passing through the points (-2,-2) and (2,2).
(a) To find the first principal component, we need to find the eigenvector of the covariance matrix that corresponds to the largest eigenvalue. First, we calculate the covariance matrix:
| 4 0 -4 |
| 0 0 0 |
|-4 0 4 |
The eigenvalues of this matrix are 8, 0, and 0. The eigenvector corresponding to the largest eigenvalue (8) is:
| 1 |
| 0 |
|-1 |
So, the first principal component is the line passing through the points (-2,-2) and (2,2).
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in testing a hypothesis from a random sample involving three or more means, the appropriate test would be a one-way anova. True or false?
Answers
When testing a hypothesis involving three or more means, the appropriate test is a one-way ANOVA (Analysis of Variance). ANOVA is a statistical method that compares the means of two or more groups to determine if there is a significant difference between them. In the case of a one-way ANOVA, we are comparing the means of one variable across multiple groups or categories.
The one-way ANOVA test allows us to determine if the differences between the means of the groups are significant enough to reject the null hypothesis, which states that there is no significant difference between the means. If the p-value obtained from the ANOVA test is less than the chosen level of significance, we reject the null hypothesis and conclude that there is a significant difference between at least two of the means.
a slide caliper has 32 divisions per inch and a vernier of 8 divisions per major division. for this instrument the smallest resolution and uncertainty are:
Answers
The smallest resolution for this instrument is 1/256 inches.
This is also the instrument's uncertainty, as it represents the smallest measurable increment.
Let's first understand the terms mentioned:
Slide caliper:
A measuring instrument with a main scale and a vernier scale for taking precise measurements.
Divisions per inch:
The number of equal divisions on the main scale in one inch.
Vernier:
A short auxiliary scale that slides along the main scale, allowing for more precise readings.
Divisions per major division:
The number of equal divisions on the vernier scale that correspond to one division on the main scale.
Now, let's determine the smallest resolution and uncertainty for this instrument.
Calculate the main scale resolution
Main scale resolution = 1 inch / 32 divisions per inch = 1/32 inches
Calculate the vernier scale resolution
Vernier scale resolution = Main scale resolution / Vernier divisions per major division = (1/32 inches) / 8 = 1/256 inches.
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If 7 toothpaste tubes cost $40.50, how much does one tube cost?
Answers
Answer:
40.5/7=(answer)
The ratio of the amount o rice Max has to the amount of rice Victor has to the amount of rice Roman has is 3:2:4, If Victor gives 1/4 of hs rice to Roman, what will the new ratio of the amounts of Max's rice to Victor's rice be
Answers
The new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.
Given, that ratio of rice between max, victor and roman
Ratio : A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of rice that Max, Victor, and Roman have as 3x, 2x, and 4x, respectively.
The total ratio of the amounts of rice is 3+2+4 = 9,
So each "part" of the ratio is 1/9.
If Victor gives 1/4 of his rice to Roman, he will give away
(1/4) × (2x) = 1/2x rice to Roman, and he will be left with
(3/4) × (2x)
= 6/4x
= 3/2x rice.
Roman will receive 1/2x rice from Victor and will have
4x + 1/2x = 9/2x rice in total.
So the new amounts of rice that Max, Victor, and Roman have are 3x, 3/2x, and 9/2x, respectively.
The new ratio of the amounts of rice is (3x):(3/2x):(9/2x).
To simplify this ratio, we can multiply all parts by 2 to get:
6x:3x:9x
And then divide all parts by 3x to get:
2:1:3
Hence, the new ratio of the amounts of Max's rice to Victor's rice to Roman's rice is 2:1:3.
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The new ratio of the amount of rice that Max has to the amount that Victor has after Victor gives away 1/4 of his rice to Roman is 2:1.
Explanation:Let's assume the amount of rice Max, Victor, and Roman have are 3x, 2x, and 4x units respectively. Now, if Victor gives 1/4 of his rice to Roman, Victor's amount will decrease by 1/4*2x = 0.5x, therefore, Viktor will have 2x - 0.5x = 1.5x units of rice. So, the new ratio of the amount of rice Max to the amount of rice Victor will be 3x:1.5x or, simplifying, 2:1.
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write an equivalent addition expression for
-3-(-5)
Answers
Answer:
-3+5
Step-by-step explanation:
consider two hexadecimal numbers: x434f4d50 and x55544552. what values do they represent for each of the five data types shown?
Answers
The values they represent for each of the five data types shown are below.
What is hexadecimal numbers?
The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.
For x434F4D50
Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000
1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111
2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111
IEEE 754 Floating point - 207.302001953125
ASCII string -COMP
For x55544552
Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010
1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101
2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110
IEEE floating point 1.4587137097728E13
ASCII string: UTER
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2x-5y=11,4x+10y=18
Use elimination
Answers
Answer:
Step-by-step explanation:
Reza Nazari, Ava Ross · 2019 · Study Aids
18) Choice D is correct sum of terms sum of numbers average ... –2(2x + 5y = 11) , –4x – 10y = —22 4x – 2y = –14 4x – 2y = –14 = –12y = —36 = y = 3 Plug in ...
The Distributive Property
Simplify each expression using the distributive property
4(3b +7)
12+28
8(7k-3+4p)
2(2n+3b-5)
7(2-1)
9(7k -3)
Answers
2) 56k - 24 + 32p
3) 4n + 6b -10
4) 7
5) 63k - 27
have been working on this for the past 10 minutes . Can you guys help me ?
Answers
1. Proportional
Y is 5 times x
2. Not Proportional
Y is .5 times x
Answer:
x and y are not proportional in either table.
Step-by-step explanation:
x and y are not proportional in the first table. Notice that y = x/5 for x = 30, 25, 45 but not for x = 14. The relationship between x and y must be consistent.
x and y are not proportional in the second table. y = 2(4) = 8
and y = 3(5) = 15. In order for x and y to be proportional y = kx where k is constant. This is not happening in the second table.
find the limit. (if the limit is infinite, enter '[infinity]' or '-[infinity]', as appropriate. if the limit does not otherwise exist, enter dne.) lim x → [infinity] 2 cos(x)
Answers
The limit of the function 2cosx as x approaches infinity does not exist.
Explanation: -
The limit of 2cos(x) as x approaches infinity is undefined or DNE. This is because the cosine function oscillates between -1 and 1 as x increases indefinitely. Therefore, the product of 2 and cos(x) also oscillates between -2 and 2, never approaching a specific value or limit.
To better understand why the limit is undefined, consider the definition of a limit: a limit exists if the function approaches a single value as the input approaches a particular value. However, in the case of 2cos(x), the output values fluctuate between -2 and 2, never settling down to approach a single value.
In mathematical terms, we can show that the limit of 2cos(x) as x approaches infinity is undefined using the ε-δ definition of a limit.
Suppose we take ε = 1/2. Then, for any δ > 0, we can always find x₁, x₂ > δ such that |2cos(x₁) - 2cos(x₂)| = 4|sin((x₁ + x₂)/2)sin((x₁ - x₂)/2)| ≥ 2 > ε. This violates the definition of a limit, which requires that for any ε > 0,
there exists a δ > 0 such that |2cos(x) - L| < ε whenever 0 < |x - c| < δ. Therefore, the limit of 2cos(x) as x approaches infinity is undefined or DNE.
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HELP PLEASE
Carolina completed the right column of the table to help her translate the number 5.073 to word form.
Step 1: State the number before the decimal point. "Five"
Step 2: Write the word "and."
Step 3: State the number after the decimal point.
Step 4: Write the place value of the last digit.
Step 5: Combine steps 1 to 4 to write the number.
"and"
"seventy-three"
"hundredths"
"Five and seventy-three
hundredths"
In which step was the first error made?
O Step 1
O Step 3
O Step 4
Step 5
Answers
Answer:
..mrnekrvgnw4,grmsfc
Step-by-step explanation:
please help ........
Answers
Answer:
x = 8
Step-by-step explanation:
Two tangent segments to a circle from the same external point are congruent, thus
WP = WQ , that is
3x - 6 = x + 10 ( subtract x from both sides )
2x - 6 = 10 ( add 6 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Cara uses nylon cord to make necklaces. Each necklace requires 18.75 inches of cord. Cara has 281.25 inches of the cord on hand. If she uses all of it, how many necklaces can Cara make?
Answers
Answer:
Cara can make 15 nylon cord necklaces exactly.
Step-by-step explanation:
This looks like a simple division problem, just divide 281.25 by 18.75 and you should get 15.
find the slope of each line
Y = 5 x +5
а
im so sorry im supper dumb:,(
Answers
Answer:
slope is (5 over 1) (5/1)
rise : 5
run: 1
Step-by-step explanation:
You obtain a 60-day note from a bank for $8000.00. The loan takes place on April 6, and the costs include $216.99 for interest and $67.20 in other charges.
How much do you owe at the end of the 60 days?
Answers
If you obtained a 60-day note from a bank for $8000.00, with $216.99 in interest and $67.20 in other charges, the total amount owed at the end of the 60 days would be $8284.19.
To calculate the total amount owed at the end of the 60 days, we need to add the principal amount, interest, and other charges.
The principal amount of the loan is $8000.00.
The interest charged on the loan is $216.99.
The other charges on the loan amount to $67.20.
To find the total amount owed, we add the principal, interest, and other charges:
Total amount owed = Principal + Interest + Other charges
Total amount owed = $8000.00 + $216.99 + $67.20
Total amount owed = $8284.19
Therefore, at the end of the 60 days, you would owe a total of $8284.19.
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What is the length of BC?
From the markings on the diagram, we can tell E is the midpoint of BC and
is the midpoint of AC
We can apply the
theorem: ED = One-halfBA.
Substituting in the expressions for the lengths and solving for x, we get x =
.
Now, since BE = x, then BC =
.
Answers
Using the triangle midsegment theorem, x = 5; BC = 10 units.
What is the Triangle Midsegment Theorem?According to the triangle midsegment theorem, ED = 1/2(BA).
Given the following:
ED = x + 2
BA = 4x - 6
x + 2 = 1/2(4x - 6)
2(x + 2) = 4x - 6
2x + 4 = 4x - 6
2x - 4x = -4 - 6
-2x = -10
x = 5
BC = 2(BE)
BC = 2(x)
BC = 2(5)
BC = 10 units
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Answer:
D
Triangle Midsegment
5
10
Step-by-step explanation:
E2020 Geometry B!!:3
M<7=100 find measure of <11
Answers
Answer:i think its 115 degres
Step-by-step explanation:
The price of a packet of lamb chops with a mass of 250 grams is R24 ,how much will 800 grams of lamb chops cost
Answers
Answer:
76.8
Step-by-step explanation:
Im assuming that R24 stands for 24 rupees
We can set up a fraction:
\(\frac{24}{250} = \frac{x}{800}\)
Now cross multiply:
\(19200 = 250x\)
Solve for x:
\(x = 76.8\)
in a survey, 20 people were asked how much they spent on their child's last birthday gift. the results were roughly bell-shaped with a mean of $32 and standard deviation of $2. find the margin of error at a 98% confidence level.
Answers
At a 98% confidence level, the margin of error is 0.8765.
Because the method is based on probability, the confidence interval has a margin of error.
A confidence interval's margin of error again for the population mean is determined by:
ME = \(Z_{\alpha /2}\) × \(s_{x}\)
The data mentioned in the question,
n = 20
s = 2
1 - \(\alpha\) = 0.98
The following equation may be used to calculate the standard error:
\(s_{x}\) = s ÷ √n
\(s_{x}\) = 2 ÷ √20
\(s_{x}\) = 0.4472
Now, the critical value \(Z_{\alpha /2}\) is found using MS Excel,
\(Z_{\alpha /2}\) = NORMSINV(\(\alpha /2\))
\(Z_{\alpha /2}\) = NORMSINV(0.9750)
\(Z_{\alpha /2}\) = 1.9599639845
Finally, the confidence interval's margin of error is:
ME = \(Z_{\alpha /2}\) × \(s_{x}\)
ME = 1.96 × 0.4472
ME = 0.8765
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What is the range of the function y=3/x+8?
Answers
The domain of the function is (-∞, -8) and (-8, ∞). Then the range of the function will be (-∞, 0) and (0, ∞).
What are domain and range?The domain means all the possible values of the x and the range means all the possible values of the y.
The function is given below.
y = 3/(x + 8)
Then the domain of the function is (-∞, -8) and (-8, ∞). Then the range of the function will be (-∞, 0) and (0, ∞).
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what is the probability (in percentage) that a score will fall between a -3z and +2 z scores?
Answers
The probability (in percentage) that a score will fall between a -3z and +2 z scores is 97.59%.
Assuming a standard normal distribution, the probability that a score falls between -3z and +2z can be calculated as the difference between the cumulative probabilities of +2z and -3z.
Using a standard normal distribution table or calculator, we find that the cumulative probability of +2z is approximately 0.9772, and the cumulative probability of -3z is approximately 0.0013.
Therefore, the probability that a score falls between -3z and +2z is:
0.9772 - 0.0013 = 0.9759
Converting to a percentage, we get:
0.9759 x 100% ≈ 97.59%
So the probability that a score falls between -3z and +2z is approximately 97.59%.
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find all abelian groups (up to isomorphism) of order 360
Answers
The abelian groups (up to isomorphism) of order 360 are:
1. C360: The cyclic group of order 360.2. C2 x C2 x C3 x C3 x C5: The direct product of cyclic groups of orders 2, 2, 3, 3, and 5.
How can we determine the abelian groups of order 360?To find all abelian groups of order 360, we need to consider the prime factorization of 360, which is 2^3 × 3^2 × 5. The abelian groups will be direct products of cyclic groups whose orders divide 360.
First, we consider the cyclic groups. Since the order of an element in a cyclic group divides the order of the group, we can have cyclic subgroups of orders 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.
Now, we can combine these cyclic subgroups to form the abelian groups. We can take direct products of the cyclic groups to obtain different possibilities. The order of the resulting group will be the product of the orders of the cyclic subgroups.
In this case, we can form the following abelian groups of order 360:
C360: This is the cyclic group of order 360 itself.
C2 x C2 x C3 x C3 x C5: This is the direct product of cyclic groups of orders 2, 2, 3, 3, and 5.
These are the two abelian groups (up to isomorphism) that can be formed using the prime factorization of 360.
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