Given that the correlation between X and Y is -0.48, the mean and standard deviation of X are 3.4 and 8.3, the mean and the standard deviation of Y is 6.5 and 7.2 respectively. Find the slope for the line of best fit.

Answer:X=15d or just 15

Step-by-step explanation:Since there is an increase in manpower/hours of: [8 x 4] / [6 x 5] = 16/15, therefore, there must be decrease in days by the same pecentage. Or 16 / [16 / 15] =16 x 15/16 =15 days

Answer:

15 days

Step-by-step explanation:

Or you could just write 15 on MathsWatch

B = (-2, 2)

May Nilbin Be With You

Answer:

B' = (-6, 6)

Step-by-step explanation:

Dilation = Multiplying the coordinates of points by the scale factor.

B = (-2, 2)

B' = (-6, 6)

^ Multiply each coord by the scale factor (3)

The formula distance = speed x time must be used to calculate the duration of a marathon as a function of the runner's average speed.

 1: List the known data. For example, a marathon is 13.1 miles long, and an average runner moves at s miles per hour.

2 :Rearrange the equation to solve for time in Step 2: Time = Speed/Distance

3: Enter the known numbers for distance and speed into the equation: time = 13.1 miles per second.

4: If necessary, simplify the equation. The units of miles will cancel out because the time is measured in hours and the speed in miles per hour, therefore the ultimate unit of time will be hours.

  The final answer  is t = 13.1/s, which expresses the duration of a marathon (in hours) as a function of the runner's average speed (in miles per hour).

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To find the intersection of sets A and B, we look for the elements that are common between the two sets. To find the union of sets A and B, we combine all the elements in both sets. To find the intersection of sets A and C, we again look for the elements that are common to both sets.

To find the required set operations, let's go through each step:

a) A ∩ B (intersection of A and B)

  A = {1, 2, 4, 6, 8}

  B = {2, 3, 5, 8}

  The elements common to both sets A and B are {2, 8}.

  Therefore, A ∩ B = {2, 8}.

b) A ∪ B (union of A and B)

  A = {1, 2, 4, 6, 8}

  B = {2, 3, 5, 8}

  The union of sets A and B includes all the elements from both sets without duplication.

  Therefore, A ∪ B = {1, 2, 3, 4, 5, 6, 8}.

c) A ∩ C (intersection of A and C)

  A = {1, 2, 4, 6, 8}

  C = {3, 6, 9}

  The elements common to both sets A and C are {6}.

  Therefore, A ∩ C = {6}.

d) A ∪ C (union of A and C)

  A = {1, 2, 4, 6, 8}

  C = {3, 6, 9}

  The union of sets A and C includes all the elements from both sets without duplication.

  Therefore, A ∪ C = {1, 2, 3, 4, 6, 8, 9}.

e) AC (complement of A)

  U = {1, 2, …, 10}

  A = {1, 2, 4, 6, 8}

The complement of set A with respect to the universal set U contains all the elements in U that are not in A.

  Therefore, AC = {3, 5, 7, 9, 10}.

f) BC (complement of B)

  U = {1, 2, …, 10}

  B = {2, 3, 5, 8}

  The complement of set B with respect to the universal set U contains all the elements in U that are not in B.

  Therefore, BC = {1, 4, 6, 7, 9, 10}.

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Answer:

16, 32, 64

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

2 ÷ 1 = 4 ÷ 2 = 8 ÷ 4 = 2

Thus to obtain any term in the sequence multiply the previous term by 2

a₅ = a₄ × 2 = 8 × 2 = 16

a₆ = a₅ × 2 = 16 × 2 = 32

a₇ = a₆ × 2 = 32 × 2 = 64

The minimum bid is the lowest value from a group of values. To estimate the minimum bid's distribution and expected value, the following steps should be followed:

Step 1: Place "Mean" and "Std Dev" in column A in rows 1 and 2, respectively, and their corresponding values in column B. Place the column headers "Bid 1", "Bid 2", and so on out to "Bid 10" in cells C1, D1, and so on out to L1, respectively.

Step 2: To generate random numbers for the first bid, in the cells in the "Bid 1" column, enter the formula =NORM.INV( $$$$) in the cells in column C below C1. This formula specifies that the random values should be picked from a normal distribution with a mean of 3.3 million and a standard deviation of 0.27 million. To calculate random values for other bids, enter the same formula in the cells of columns D through L.

Step 3: Determine the winner bid by entering the column header "Winner" in cell M1, and entering the formula =MIN() in cell M2. This formula specifies that the minimum value among the bids in the first row should be calculated. To calculate the winning bid for the other rows, the same formula should be entered in cells M3 through M100.

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Answer:

slay

Step-by-step explanation:

all day

Since lines l and m are parallel, we can use the properties of alternate interior angles to determine that:

m∠a = m∠C = 72 degrees

Similarly, we can use the properties of corresponding angles to determine that:

m∠e = m∠C + m∠g = 72 + 36 = 108 degrees

Therefore, one of the statements are:

A. m∠a = 72 degrees

C. m∠e = 108 degrees

The simplified expression of 4/x is at most 3 is 3x ≥ 4

The statement is given as:

4/x is at most 3

Express as inequality: (at most means ≤)

So, we have:

4/x ≤ 3

Multiply both sides by x

4 ≤ 3x

Rewrite as:

3x ≥ 4

See attachment for the graph of the inequality

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Answer:

AB ≈ 4.73

Step-by-step explanation:

using the sine ratio in the right triangle

sin25° = \(\frac{opposite}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{2}{AB}\) ( multiply both sides by AB )

AB × sin25° = 2 ( divide both sides by sin25° )

AB = \(\frac{2}{sin25}\) ≈ 4.73 ( to the nearest hundredth )

Thus, the probability of rolling a six is 1/6 or 16.67%, and the probability of rolling an even number is 1/2 or 50%.

a) When a fair die is rolled, there are 6 possible outcomes (1, 2, 3, 4, 5, 6), and each outcome has an equal probability of occurring.

To find the probability of rolling a six, we can determine the ratio of the desired outcome (rolling a 6) to the total possible outcomes:

Probability of rolling a six = (Number of ways to roll a six) / (Total possible outcomes)

Probability of rolling a six  = 1/6 ≈ 0.1667

Probability of rolling a six  16.67%.

b) To find the probability of rolling an even number, we need to identify the even outcomes (2, 4, and 6) and calculate the ratio of the desired outcomes to the total possible outcomes:

Probability of rolling an even number = (Number of ways to roll an even number) / (Total possible outcomes)

Probability of rolling an even number = 3/6 = 1/2 or

Probability of rolling an even number = 0.5 or 50%.

In summary, the probability of rolling a six is 1/6 or 16.67%, while the probability of rolling an even number is 1/2 or 50%.

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Answer:

(2, 3 )

Step-by-step explanation:

4x - y = 5 → (1)

x + y = 5 ( subtract y from both sides )

x = 5 - y → (2)

substitute x = 5 - y into (1)

4(5 - y) - y = 5

20 - 4y - y = 5

20 - 5y = 5 ( subtract 20 from both sides )

- 5y = - 15 ( divide both sides by - 5 )

y = 3

substitute y = 3 into (2)

x = 5 - y = 5 - 3 = 2

solution is (2, 3 )

Step-by-step explanation:

the easiest way to solve such a system of 2 equations is very often to multiply one equating by a certain constant and then add both equations, so that one variable is eliminated.

in our case we don't need to multiply with anything. we can simply add :

4x - y = 5

x + y = 5

-----------------

5x 0 = 10

x = 10/5 = 2

x + y = 5

2 + y = 5

y = 5 - 2 = 3

so, our solution is

x = 2

y = 3

Answer:

P(A and 2) = 1/12, P(D and 1) = 1/8, P(A and not 2) = 1/6

Step-by-step explanation:

P(A and 2)

There is a 1/4 chance that you hit a when you spin the spinner. There is a 2/6 chance that you hit two when you spin the spinner. 1/4*2/6 = 2/24=1/12

P(D and 1)

There is a 1/4 chance that you hit d when you spin the spinner. There is a 3/6 chance that you hit one when you spin the spinner. 1/4*3/6=3/24=1/8.

P(A and not 2)

There is a 1/4 chance that you hit a when you spin the spinner. There is a 4/6 chance that you hit anything but two in the second spinner. 1/4*4/6=4/24=1/6

The population of the next year will be, 108,864.

What is population?

The term "population" refers to all citizens who are either permanently residing in a nation or are just temporarily absent from it. This indicator displays the population of a given area on a regular basis. Growth rates are the yearly changes in population brought on by births, deaths, and net migration.

Given:

The population of a city increases by 0. 8% per year.

This year's population is 108,000.

0.8% of 108,000 is,

108,000 x 0.008 = 864

The population increased by 864 people.

So, the next year's population will be,

108,000 + 864 = 108,864.

Hence, the next year's population will be 108,864.

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Answer:

∠A

∠B

∠C

Step-by-step explanation:

Place the angles in order from largest (at the top) to smallest (at the bottom).

∠A

∠B

∠C

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, acute, obtuse, scalene and right angled triangle.

If two sides of a triangle are unequal, then the value of the angles opposite to these sides are unequal, and the greater angle is that which is opposite to the greater side.

BC > AC > AB

Therefore the angles opposite are proportional to this sides. Hence:

∠A > ∠B > ∠C

A system of equations

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

y= 2-1

y= 1

We will solve this through graphical way

Graph both equations

Solution is

Graph attached

The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer: Um B and D are irrational numbers.

Step-by-step explanation:

The location of point b on the number line is 8.25.

To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.

Let's assume that the location of point b is represented by the variable x.

Given that the ratio of ab:bc is 3:1, we can set up the following equation:

ab/bc = 3/1

To find the length of ab and bc, we subtract the respective coordinates:

ab = x - 6

bc = 9 - x

Now we can substitute these values into the equation:

(x - 6)/(9 - x) = 3/1

To solve this equation, we can cross-multiply:

1 * (x - 6) = 3 * (9 - x)

Simplifying the equation:

x - 6 = 27 - 3x

Combine like terms:

4x = 33

Divide both sides by 4:

x = 33/4 = 8.25

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Answer:

Its a

Step-by-step explanation:

i did this brainly pls

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

y = 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )

m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 7 )

7 = 2(1) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = 2x + 5 ← equation of line

Answer:

C. Triangles A and C.

Step-by-step explanation:

In triangles A and C, the ratios of corresponding sides are equal, and the corresponding angles are congruent.

Answer:

$560

Step-by-step explanation:

if 25% is the discount than the total of the item after the discount is .75x. So to find the original total we need the equation 420=.75x

first we need to isolate x so we divide both sides by .75, doing this will give us 560= x

to check our answer you need to multiply 560 by .75 (which I got by subtracting the discount, .25, from 1) which gives us our discounted total of $420

The true statements are:

Logarithms may be used to linearize data.

Powers may be used to linearize data. Roots may be used to linearize data.

If a data set is linearized by taking the common logarithm (log) or natural logarithm (ln) of the y-values, then the data follows a power model.

Another format for writing exponents is in logarithms.

The use of a logarithm can be utilized to solve issues that cannot be resolved using the concept of exponents alone. A logarithm is simply another way to describe exponents. Exponent and logarithm are inverse forms of one another. A logarithm is defined using an exponent.

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Answer:

A.Logarithms may be used to linearize data.

B.Powers may be used to linearize data.

C.Roots may be used to linearize data.

E.If a data set is linearized by taking the pth root of the y-values, then the data follows a power model.

Step-by-step explanation:

Yes

Answer:

2[3+4/-2(3-4)]+3

Step-by-step explanation:

2[3+-2(-1)] +3

2[3+2] +3

2(5) +3

10+3

13

Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Answer:

x-intercept: -6 (-6,0 if you need full coordinates)

y-intercept: -4 (0,-4 for full coordinates)

Step-by-step explanation:

I'm in a rush but ask if you need steps

Answer:

a) y = -(2/3)x - 4

b) x-intercept = -6

   y-intercept = -4

Step-by-step explanation:

Slope intercept form is

y = mx + b

4x + 6y + 24 = 0

Subtract 4x + 24 from both sides

6y = -4x - 24

Divide both sides by 6

y = -(2/3)x - 4

-------------------------------------

X intercept

at the x intercept y = 0

0 = (-2/3)x - 4

add (2/3) x to both sides

(2/3)x = - 4

Multiply both sides by 3/2

x = -12/2

x = -6

----------------------------

Y intercept

at the y-intercept x = 0

y = -(2/3)0 - 4

y =-4

Answer:

I think that it is 74 i did 102-28.

Step-by-step explanation:

hope this is helpful!!;)

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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