is a criterion of causality that requires a change in a predictor variable (x) to be consistently associated with some change in the explanatory variable (y).

The sample size should be 24.

What is the sample size?

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

Here, we have

Given

Margin of error = 300

confidence level = 0.9

standard deviation = 900

Assuming the standard deviation to be of population

ME = Z(0.1/2) × σ/√n

300 = 1.645 × 900/√n

n =  {(1.645 × 900)300}²

n = 24

Hence, the sample size should be 24.

To learn more about the sample size from the given link

https://brainly.com/question/24158610

#SPJ4

Answer:

Step-by-step explanation:

The converse of the given statement is "if a number has a remainder of 1 when divided by 2, then it is odd".Option A is correct.

The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.

The given statement is"If a number is odd, then it has a remainder of 1 when divided by 2."

In mathematics and logic, reversing the two assertions that make up a categorical or implicational statement yields its opposite. P → Q implies that  Q → P, which is the opposite. All P are S is the inverse of the categorical assertion All S are P.

Thus, the converse of the given statement is "if a number has a remainder of 1 when divided by 2, then it is odd".Option A is correct.

Learn more about the quotient here,

https://brainly.com/question/16134410

#SPJ5

Answer:

The answer i can really use is x and x+5 but since ur asking of xx and yy here it is:

7.50 = 0.75(x) + 0.5(y)

Here is the 2nd solution (might be the first priority)

7.50 = total amount

0.75 = apple price ; x

0.50 = banana price ; x + 5

7.50 = 0.75(x) + 0.50(x + 5)

7.50 = 0.75x + 0.50x + 2.5

7.5 - 2.5 = 1.25x

5 = 1.25x

x = 4

7.50 = 0.75(4) + 0.50(4 + 5)

7.50 = 3 + 0.50(9)

7.50 = 3 + 4.5

7.50 = 7.50 //checks out

# of apples : x = 4 apples

# of bananas : x + 5 = 4 + 5 = 9 bananas

Step-by-step explanation:

The correlation coefficient of the data (0,1132), (1,1107), (2,1000), (3,1019) is -0.89

Correlation coefficients are used to measure how strong a relationship is between two variables

Given: (0,1132), (1,1107), (2,1000), (3,1019)

x    >>>>     y     >>>>  x²  >>>>       y²  >>>>   xy

0              1132            0            1281424         0

1               1107             1            1225449       1107

2              1000           4            1000000      2000

3               1019            9            1038361       3057

................................................................................................

6               4258         14            4545234      6164

.................................................................................................

The formula for the correlation coefficient is:

r = ( n∑xy -(∑x)(∑y) ) / ( √(n∑x² - (∑x)²) .√(n∑y² - (∑y)²) )

From the table:

∑x = 6, ∑y = 4258, ∑x² = 14, ∑y² = 4545234 and ∑xy = 6164

n = 4 (number of data points)

Substituting the values into the formula will give:

r = ( 4×6164 -(6)(4258) ) / ( √(4×14 - (6)²) .√(4×4545234 - (4258²) )

r = 24656-25548 / √(20).√(50372)

r = -892/√(1007440)

r = -0.89

Therefore, the correlation coefficient is -0.89

Learn more about correlation coefficient on:

https://brainly.com/question/27842223

#SPJ1

Probability that you purchase x boxes that do not have the desired prize is \((0.9)^{x}\)

Probability:

                 Probability is a measure of the likelihood of an event to occur.

For the given question,

                  Let us assume,

\(P_{1}\) = Probability that a randomly selected box of a certain type of cereal has a particular prize is .1

\(P_{2}\) = Probability that you purchase x boxes that do not have the desired prize

            = 1 -  \(P_{1}\)  

            = 1 - 0.1

            = 0.9

(a).  We have to find probability that you purchase x boxes that do not have the desired prize

 = Probability of not getting prize x times

  = 0.9 * 0.9 * 0.9 * 0.9 ........... x times

  =  \((0.9)^{x}\)

Thus,

           Probability that you purchase x boxes that do not have the desired prize is \((0.9)^{x}\)

To learn more about Probability visit:https://brainly.com/question/11234923

#SPJ4

Answer:

-4

Step-by-step explanation:

7 + (-11) basically translates to 7 - 11.  Since the bigger number has the negative sign here, you just have to subtract 11-7 and then add the negative onto the answer.

Answer:

-4

Step-by-step explanation:

7-11

-4

if it is a number + a negative number you remove the +and just subtract

• Length of the rectangle = 80 cm

• Breadth of the rectangle = 15 cm.

• perimeter and Area of the rectangle .

As we know that:

• perimeter of the rectangle = 2 ( l + b)

=> perimeter = 2 ( 80 + 15)

=> perimeter = 2 ( 95 )

=> perimeter = 190 cm .

• Area of the rectangle = l×b

=> Area = (80×15)

=> Area = 1200 cm² .

Hence , the perimeter of the rectangle is 190 cm and Area us 1200 cm².

I hope it will help you.

Regards.

To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.

a. Probability that X > 85:

To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.

First, let's calculate the z-score:

z = (X - μ) / σ

z = (85 - 100) / 10

z = -15 / 10

z = -1.5

Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.

Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).

b. Probability that X < 80:

Similarly, we'll calculate the z-score for X = 80:

z = (X - μ) / σ

z = (80 - 100) / 10

z = -20 / 10

z = -2

Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.

Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).

c. Probability that X < 90 or X > 130:

To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.

For X < 90:

z = (90 - 100) / 10

z = -10 / 10

z = -1

Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.

For X > 130:

z = (130 - 100) / 10

z = 30 / 10

z = 3

Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.

Since these events are mutually exclusive, we can add their probabilities:

P(X < 90 or X > 130) = P(X < 90) + P(X > 130)

P(X < 90 or X > 130) = 0.1587 + 0.0013

P(X < 90 or X > 130) = 0.1600

Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).

d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?

To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.

For the left tail:

z = invNorm(0.005)

z ≈ -2.576

For the right tail:

z = invNorm(0.995)

z ≈ 2.576

Now we can find the corresponding X-values:

X1 = μ + z1 * σ

X1 = 100 + (-2.576) * 10

X1 = 100 - 25.76

X1 ≈ 74.24

X2 = μ + z2 * σ

X2 = 100 + 2.576 * 10

X2 = 100 + 25.76

X2 ≈ 125.76

Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).

To learn more about probability : brainly.com/question/31828911

#SPJ11

The equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

Simplify LHS and RHS?

To verify whether the equation \((sin(x)cos(x))^2 = sin(2x)\) is an identity, we can simplify both sides of the equation and see if they are equivalent.

Starting with the left side of the equation:

\((sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2\)

Now, we can use the trigonometric identity \(sin(2x) = 2sin(x)cos(x)\) to rewrite the right side of the equation:

\(sin(2x) = 2sin(x)cos(x)\)

Substituting this into the equation, we have:

\((sin(x))^2(cos(x))^2 = (2sin(x)cos(x))\)

Next, we can simplify the left side of the equation:

\((sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2\)

Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:

\((sin(x)cos(x))^2 = sin(2x)\)

Hence, the equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.

To know more about identity, refer here:

https://brainly.com/question/1412354

#SPJ4

Answer:

a. 20

b. 6

c. y=2/9x

Step-by-step explanation:

a. The null hypothesis (H0) is that the proportion of those who are adequately prepared financially for retirement is the same for people in the 66-69 age group who did not complete high school as it is for the population of the 66-69-year-old (71%).

The alternative hypothesis (Ha) is that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69-year-old.

b. To calculate the p-value for this hypothesis test, we can use a one-sample proportion test. The sample proportion (p-hat) is 165/300 = 0.55. Using a z-test, with a z-score of -2.35 and a standard deviation of 0.058, the p-value is 0.011.

c. At a significance level of 0.01, the p-value of 0.011 is less than the significance level, so we reject the null hypothesis. We can conclude that there is evidence that the proportion of those who are adequately prepared financially for retirement is smaller for people in the 66-69 age group who did not complete high school than it is for the population of the 66-69-year-old.

Learn more about hypothesis tests here: https://brainly.com/question/15980493

#SPJ4

Pair of points representing parallel line to the x-axis from the given pairs is equal to option a. (3.2, 7) and (5, 7).

As given in the question,

Line parallel to the x-axis has slope = 0

Calculate the slope of each pair of points :

a. (3.2, 7) and (5, 7)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 7- 7) / ( 5 - 3.2)

          = 0

Pair of points represents parallel line to x-axis.

b. (8, 8.4) and (8, 8.8)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 8.8- 8.4) / ( 8 - 8)

          = not defined

Pair of points is not parallel to x-axis.

c. (6 1/2, 12) and (6.2, 11)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 11- 12 / ( 6.2 - 6.5)

          = 1/ 0.3

         = 10/3

Pair of points is not parallel to x-axis.

Therefore, pair of points represents parallel line to x-axis is equal to

option a. (3.2, 7) and (5, 7).

The complete question is:

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.

a. (3.2, 7) and (5, 7)

b. (8, 8.4) and (8, 8.8)

c. (6 1/2, 12) and (6.2, 11)

Learn more about parallel line here

brainly.com/question/16701300

#SPJ4

Answer:

\(\frac{\partial f}{\partial x} = -70+7\cdot y\), \(\frac{\partial f}{\partial y} = 12+7\cdot x\), \(\frac{\partial f}{\partial x} (1,-1) = -77\), \(\frac{\partial f}{\partial y}(1,-1) = 19\)

Step-by-step explanation:

Let \(f(x,y) = 9000-70\cdot x +12\cdot y +7\cdot x \cdot y\), then the first partial derivatives of this multivariate function are, respectively:

\(\frac{\partial f}{\partial x} = -70+7\cdot y\) (1)

\(\frac{\partial f}{\partial y} = 12+7\cdot x\) (2)

Now we evaluate the partial derivatives at \((x,y) = (1, -1)\):

\(\frac{\partial f}{\partial x}(1,-1) = -70+ 7\cdot (-1)\)

\(\frac{\partial f}{\partial x} (1,-1) = -77\)

\(\frac{\partial f}{\partial y}(1,-1) = 12+7\cdot (1)\)

\(\frac{\partial f}{\partial y}(1,-1) = 19\)

Answer:

D) -22

Step-by-step explanation:

We can find the answer by substituting all possibilities into the equation:

(8) + 11 = 19 (NOT = LESS THAN -5)

(-14) + 11 = -3 (NOT = LESS THAN -5)

(-16) + 11 = -4 (NOT = LESS THAN -5)

(-22) + 11 = -11 (This is the only subsititution that makes the expression correct)

Answer:

D. -22

Step-by-step explanation:

8 makes the inequality wrong

-14 is not enough to make it less so that's wrong

-16 makes it equal    -5>-16+11 ---> -5>-5 so not true

-22 is the only one that makes it true.

-5 > -22 +11 ---->  -5 > -11 so its true

Answer: HL

Step-by-step explanation:

HL because the hypotenuse leg theorem shows how a given set of right triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

The energy for n = 16 level in the infinite well potential quantum system is given by 32 E / (m * L^2).

The energy levels in an infinite well potential quantum system are given by the formula:

E_n = (n^2 * h^2) / (8 * m * L^2)

where E_n is the energy of the nth level, h is the Planck's constant, m is the mass of the particle, and L is the length of the well.

In this case, we have n = 16. Let's assume that E represents the energy unit.

So, the energy for the 16th level would be:

E_16 = (16^2 * h^2) / (8 * m * L^2)

Since we are comparing the energy to E, we can simplify further:

E_16 = 256 E / (8 * m * L^2)

E_16 = 32 E / (m * L^2)

Therefore, the energy for n = 16 level in the infinite well potential quantum system is given by 32 E / (m * L^2).

None of the provided answer options exactly match this expression, so it seems there may be an error in the available choices.

Learn more about potential here

https://brainly.com/question/14826668

#SPJ11

Given:

The equation in point slope form is

\(y-4=\dfrac{3}{4}(x+8)\)

To find:

The equation of the same line in standard form.

Solution:

Standard form of a line is

\(Ax+By=C\)

We have,

\(y-4=\dfrac{3}{4}(x+8)\)

Multiply both sides by 4.

\(4(y-4)=3(x+8)\)

\(4y-16=3x+24\)

Isolate variable terms.

\(-3x+4y=16+24\)

\(-3x+4y=40\)

Multiply both sides by -1.

\(3x-4y=-40\)

Therefore, the correct option is B.

The shortest total length of fence this can be done with will be 440 m as the total area is 2000 m².

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter. Your fence is 200 feet long if the yard is 50 feet by 50 feet.

Here,

The area=2000 m²

xy=2000

x=2000/y

p=4x+2y

p=4*(2000/y)+2y

=8000/y+2y

p'=-8000/y²+2

-8000/y²+2=0

2y²-8000=0

y²-4000=

y²=4000

y= 20 m

p=8000/20+2*20

p=400+40=440 m

Given that the total area is 2000 m², the shortest total length of fence that can be used is 440 m.

To know more about perimeter,

https://brainly.com/question/6465134?referrer=searchResults

#SPJ4

If x is equal to 2.99999 or x=2.99999 it means that a) x < 3.

The integer 3 can be represented as 3.00000, which means that any number less than 3.00000 is less than 3. In this case, x is 2.99999, which is less than 3.

Therefore, the answer is x < 3. It is important to note that x is not equal to 3 because it is not exactly 3, but rather very close to it. It is also not possible to determine whether x is less than or equal to 3 because the given value is not precise enough to make that determination.

For more questions like Integer click the link below:

https://brainly.com/question/490943

#SPJ11

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

know more about Bedrock.

https://brainly.com/question/2948854

#SPJ11

Answer:

total surface area = 936 in²

Step-by-step explanation:

total surface area  = surface area of the pyramid + surface area of the cube

1.  surface area of the pyramid = 4 * area of lateral triangle side

area of lateral triangle side = 12 * 9 /

area of lateral triangle side = 54 in²

2. surface area of the pyramid = 4 * 54

surface area of the pyramid = 216 in²

3. surface area of the cube = 5 * (12 x 12)

-surface area of the cube = 720 in²

therefore, the total surface area = 216 in² + 720 in²

total surface area = 936 in²

Answer:

C

Step-by-step explanation:

Please refer to the given picture (sorry, it's a rather bad drawing.)

Anyways, we know that the cube has side lengths of 12. Since the figure is a cube, all the side lengths are 12. Let's find the surface area of the cube first.

The cube has six faces. However, we only need to do five faces because one of the faces is the face that connects the cube to the pyramid. Because of this, we won't count it towards the surface area. Therefore, the total surface area of the cube would be:

\(5(bh)\)

The bh represents the area of one face. The five multiplies that amount by five, giving us the surface area of the cube. Plug in 12 for the base and 12 for the height:

\(5(12)(12)=5(144)=720\)

Therefore, the surface area of the cube (excluding one face) is 720 square inches.

Now, find the surface area of the square pyramid. The square pyramid is composed of four congruent triangles and one square base. Again, since the square base is connecting it to the cube, we won't count it. So, we only need to find the area of the four triangles and then add it to 720.

We are given that the height of the pyramid is 9. The base of all four triangles is 12 (since the side length of the cube is 12). However, to find the area, we first need to use the Pythagorean Theorem to determine x or the actual height of one of the triangles. We won't use 9 as the height because the 9 doesn't represent the height of the triangle, but rather of the pyramid. x is essentially the hypotenuse here. Thus:

Pythagorean Theorem:

\(a^2+b^2=c^2\)

Plug in 9 for a, 12 for b, and x for c:

\(9^2+12^2=x^2\\x^2=81+144=225\\x=\sqrt{225}=15\)

Therefore, the height of the triangles is 15. Now, we can use the area formula for triangles:

\(A=\frac{1}{2} bh\)

The base is 12 and the height is 15. Thus:

\(A=\frac{1}{2}(12)(15)=6(15)=90\)

And there are four of them, so the total surface area is:

\(4(90)=360\)

Therefore, the total surface area of the composite figure (excluding the one face) is:

\((720+360)=1080\text{ in}^2\)

The graph of the function y = \(x^{2}\) intersects the horizontal line y = 0 at the origin.

What is a function?

A function is a mathematical expression, rule, or law that explains how one independent variable and one dependent variable interact.

In the question, we are provided a function as y = \(x^{2}\) and the horizontal line is y = 0.

We know that the function y = \(x^{2}\) will pass through the origin and will always lie in the first and the second quadrant as y will always be positive.

Also, the given line will lie on the x - axis which means that it will pass through the origin.

So, the two will intersect at the origin.

A graph has been attached below which depicts the relationship between the two.

Hence, the graph of the function y = \(x^{2}\) intersects the horizontal line y = 0 at the origin.

Learn more about function from the given link

https://brainly.com/question/11624077

#SPJ1

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

Answer:

24feet 1 inches

Step-by-step explanation:

Answer:

x^{2} +2x+y^{2}+2y= 18

Step-by-step explanation:

equation of circle is:

\(x^{2}+y^{2}=r^{2}\)

using distance formula and substituting value,

\((3-(-1))^{2} +(1-(-1))^{2}=r^{2}\)

solving,

r=\(2\sqrt{5}\)

for equation of circle,

\((x-(-1))^{2} +(y-(-1))^{2} =20\)

on solving,

\(x^{2} +2x+1+y^{2}+2y+1=20\)

on solving,

\(x^{2} +2x+y^{2}+2y= 18\)

Answer:

B. (1.5, 2)

Step-by-step explanation:

Hope it helps!

Answer:

B

Step-by-step explanation:

The intersection of the two lines looks to be about (1.5 , 2)