Jared has completed a controlled scientific experiment in which he found a strong
positive correlation between hours of daylight and pea plant growth. He calculates that
the correlation coefficient is 0.93. Does Jared's experiment suggest that sunlight causes
pea plant growth? Why or why not?
OYes; if the correlation coefficient is close to 1, then there is a cause-and-effect relationship.
Yes; finding a strong correlation in a controlled scientific experiment suggests a cause-and-effect
relationship.
O No; cause-and-effect relationships always have a correlation coefficient of 1 or -1.
No; cause-and-effect relationships can be established only by collecting observations from
nature, not from a controlled experiment.

Answer:

Step-by-step explanation:

x^2+2x-16-2x = x^2 - 16

= ( x - 4) ( x+ 4)

Answer:

−87.5

Step-by-step explanation:

3×5−4×7×5+2×4×5−5÷2=-87.5

Radius = 799.877cm

or = 7.99877m(in meters)

Explanation

Radius of a circle from area: if you know the area A, the radius is r = √(A / π).

➟ r = √(201/3.142)

➟ r = √63.98

➟ r = 7.99877m

Given statement 'A vector is in standard position when the initial point is at the origin.' is True.

In given question,

We have been given a statement 'A vector is in ₋standard ₋position when the initial point is at the origin.'

We know that the tail of a vector is the initial point of the vector.

And the head of a vector is the final point of the vector with an arrowhead.

The definition of standard position of vector is: "When a vector is in a standard position the head of the arrow is at a point (x, y) and the tail of the arrow is at the origin."

Therefore, given statement 'A vector is in standard position when the initial point is at the origin.' is True.

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The two segments having the same length are line VW and line YZ. Option D

A number line can simply be defined as a straight line with numbers that are  placed at equal intervals or segments along its length.

It is also known as a visual picture or representation of numbers.

From the number line shown, we have the following deductions;

From the above solutions, we can see that line

Line VW is equal in length to line YZ

Thus, the two segments having the same length are line VW and line YZ. Option D

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The measure of the length of BC from the expression is 8

The segment addition postulate in geometry is the axiom which states that a line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Given the following segments

AB = 7

AD = 25 and:

CD = 10

Using the addition postulate below:

AB+BC+CD = AD

Substitute the given parameters

7+BC+10 = 25

17+BC = 25

Subtract 17 from both sides

17+BC-17 = 25 - 17

BC = 8

Hence the measure of the length of BC from the expression is 8

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Truth Table is used to perform logical operations in Maths. These operations comprise boolean algebra or boolean functions. It is basically used to check whether the propositional expression is true or false, as per the input values. This is based on boolean algebra.

A truth table is a breakdown of a logic function by listing all possible values the function can attain. Such a table typically contains several rows and columns, with the top row representing the logical variables and combinations, in increasing complexity leading up to the final function.

Here we construct truth table for And operation -

see attachment below -

So because we don't have statements on either side of the "and" symbol that are both true, the statment ~p∧q is false. So ~p∧q=F. Now that we know the truth value of everything in the parintheses (~p∧q), we can join this statement with ∨p to give us the final statement (~p∧q)∨p.

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Answer:

pretty sure it's -5

Step-by-step explanation:

the cubed root if 125 is 5 so you just make it negative

Answer:

y = 5

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] y{}^{3}=125[/tex]

Step 1: Take cube root.

[tex] \sf \: y= {(125)} ^ {( \frac{1}{3} )}[/tex]

y=5

Answer:

C. Negative skew

Step-by-step explanation:

I did the test and got it right, plato / edmentum

Step-by-step explanation:

Using the formula c=6p+200 you can plug 350 in for c and solve for p

350=6p+200

-200 -200

150=6p

/6 /6

25=p

So, she can invite 25 people to her birthday party.

The simplification by combining like terms of 7s -s  is 6s.

According to the given question.

We have an expression 7s - s.

As we know that, like terms are terms whose variables (and their exponents such as the 2 in x2) are the same.  when we combine like terms, such as 2x and 3x, we add or subtract their coefficients.

Since, we have to combine the like terms of the given expression

7s - s.

Here 7s and s both are the like terms.

So, we subtract coeffcients of s to simplify the given expression.

Therefore, the simplification of the expression 7s - s is given by

7s - s

= 6s

Hence, the simplification by combining like terms of 7s -s is 6s.

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Answer:

see attached photo for the graph

Answer:

                           18

7b² + 12b + 19 + -------

                           b - 1

Step-by-step explanation:

(7b³ + 5b² + 7b - 1) ÷ (b - 1)

1 | 7   5   7   -1

  ↓    7  12  19

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

  7    12   19  18

                           18

7b² + 12b + 19 + -------

                           b - 1

I hope this helps!

Distance between the pair of points A(5,1) and C(-3 ,-3) is equal to

8.9 units (nearest tenth).

As given in the question,

Given points are  A (5, 1) and C( -3,-3)

Distance between the pairs of points = [tex]\sqrt{(y_{2}-y_{1})^{2} + (x_{2}-x_{1})^{2} }[/tex]

                                                          =[tex]\sqrt{(-3-1)^{2} + (-3-5)^{2} }[/tex]

                                                          = [tex]\sqrt{16 + 64}[/tex]

                                                          = [tex]\sqrt{80}[/tex]

                                                          = 8.9 units (nearest tenth)

Therefore, distance between the pair of points A(5,1) and C(-3 ,-3) is equal to 8.9 units (nearest tenth).

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Using the distance formula the distance between and pair of points Q(-12,2) and T(-9,6) is 5 units

Given,

The points = Q(-12,2) and T(-9,6)

We know the distance formula = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

Substitute the values in the equation

The distance = [tex]\sqrt{(-9--12)^{2}+(6-2)^{2} }[/tex]

[tex]=\sqrt{3^{2}+4^{2} } \\=\sqrt{9+16}\\ =\sqrt{25}[/tex]

=5 units

Hence, Using the distance formula the distance between and pair of points Q(-12,2) and T(-9,6) is 5 units

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Answer:

Step-by-step explanation:

17.55 x 0.92 = $16.15

Answer:

False

Step-by-step explanation:

The rate of change/slope of the linear equation is 8.

The y-intercept is the point where x has no value and y does.

And in the linear equation y = 8x+3, the y-intercept is 3.

Therefore, false.

- Thanks.

Answer:

(2, 7 )

Step-by-step explanation:

y = 3x + 1 → (1)

5x = y + 3 → (2)

substitute y = 3x + 1 into (2)

5x = 3x + 1 + 3

5x = 3x + 4 ( subtract 3x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1)

y = 3(2) + 1 = 6 + 1 = 7

solution is (2, 7 )

The geometric mean between pair of numbers 3√2/7 and 5√2/7 is 0.78.

The geometric mean is the average or mean value that signifies the central tendency of a set of numbers. This is obtained by finding the product of their values.

Geometric mean (GM) is calculated as:

GM = [tex]\sqrt{x y}[/tex]

where x and y are the given two values.

According to the given condition, x = [tex]\frac{3\sqrt{2} }{7}[/tex] and y = [tex]\frac{5\sqrt{2} }{7}[/tex]

Substituting these values in the equation above,

∴GM = [tex]\sqrt{\frac{3\sqrt{2} }{7} \frac{5\sqrt{2} }{7} }[/tex]

= [tex]\sqrt{\frac{30}{49} }[/tex]

= 0.78.

Thus, the geometric mean between the given two numbers is 0.78.

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The required distance between the third and first fret would be 64.390 mm.

Arithmetic functions are defined as adding, subtracting, dividing, and multiplying built-in functions.

- Subtraction operation: calculates the difference between the right-hand and left-hand operands.

for example 4 -2 = 2

+ Addition operation: on either side of the operator, additional significances are added.

For example 4 + 2 = 6

We have been given that the distance between the first and second frets is 33.641 mm.

The distance between the second and third frets is 31.749 mm.

So the distance between the third and first fret will be:

⇒ 33.641 + 31.749

Apply the addition operation, and we get

⇒ 64.390 mm

Therefore, the required distance between the third and first fret would be 64.390 mm.

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The equation of the line in point-slope form, which passes through the pair of points located at (1 , 9) and (6 , 2), is y - 9 = -7/5(x - 1).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (1 , 9) and (6 , 2).

m = (y2 - y1)/(x2 - x1)

m = (2 - 9)/(6 - 1)

m = -7/5

Using the point slope form, plug in the values of the slope and one point to set up the equation.

(y - y1) = m(x - x1)

where m = -7/5 and (x1 , y1) = (1 , 9)

(y - 9) = -7/5(x - 1)

y - 9 = -7/5(x - 1)

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The  periods that you can use for an n period moving average is 3.

The term n period moving average is the type of average that an investor can use to determine the trends in investments and the equities market. This type of average helps the traders to be able to understand the moving trends in the market and also to be able to make forecasts.

The period of the moving average spans across the times that the stock would last. This is determined by the equities market. Hence we can say that number of periods that you can be able to substitute for n to obtain the period moving average is 3.

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The difference between the distances flown by these birds is 150 Km.

We have a graph given in the question.

We have to find the difference in the distances flown by these two birds after 3 hours of flight.

The general equation of a line is -

y = mx + c

According to the question -

The slope of the line is -

m = 400/5 = 80

The y - intercept of the line is 0. Therefore → c = 0.

Therefore, the equation of the line will be -

y = 80x

The distance covered by Bird 1 →

D[1] = initial distance + 80 x 3 = 250 + 240 = 490 Km.

The distance covered by Bird 2 →

D[2] = initial distance + 80 x 3 = 400 + 80 x 3 = 400 + 240 = 640 Km.

Therefore, difference between the distances flown by these birds -

D[2] - D[1] = 640 - 490 = 150 Km.

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[ The given question is incomplete. A graph is attached at the end of answer which is also a part of the question]

Answer:

y = 3x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-0}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

y = 3x ← equation of line

The next three terms of the sequence are 84.375, 63.28, 47.46

In order to determine the next three terms, the relationship between the numbers have to be determined.

When examined, it can be seen that the next number is 75% of the previous number

150 / 200 = 75%

112.50 / 150 = 75%

The next number would be 75% of 112.50 = 112.50 x 0.75 = 84.375

The second number would be 75% of 84.375 = 0.75 x 84.375 = 63.28

The third number would be 75% of 63.28 = 0.75 x 63.28 = 47.46

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Answer:

C=115+29m

Step-by-step explanation:

C=115+29(24)

C=£811

so the first option

Answer:

E

Step-by-step explanation:

Substituting x=0 into 1-x², we get:

[tex]\lim_{x \to 0} f(1-x^2)=\lim_{x \to 1} f(x)[/tex]

which does not exist.

Answer:

[tex] \sf \: x=8 and y=1[/tex]

Step-by-step explanation:

Let's solve your system by elimination.

x+3y=11;4x−y=31

Multiply the first equation by -4,and multiply the second equation by 1.

−4(x+3y=11)

1(4x−y=31)

Becomes:

−4x−12y=−44

4x−y=31

Add these equations to eliminate x:

−13y=−13

Then solve−13y=−13for y:

−13y=−13

−13y/−13=−13/−13

(Divide both sides by -13)

y=1

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

x+3y=11

Substitute1foryinx+3y=11:

x+(3)(1)=11

x+3=11(Simplify both sides of the equation)

x+3+−3=11+−3(Add -3 to both sides)

x=8