Suppose that we have conducted a hypothesis test for one proportion, and the p-value of the test is 0.13. At \alphaα=0.05, state your conclusion. What type of error you might have committed?

a) Reject the null hypothesis, which means we might have committed the type II error.

b) Fail to eject the null hypothesis. We might have committed the type II error.

c) Reject the null hypothesis. We might have committed the type 1 error

d) Fail to eject the null hypothesis. We might have committed the type 1 error.

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 8 - 5}{ - 8 - ( - 2)} \\ m = \frac{ - 13}{ - 8 + 2} \\ m \frac{ - 13}{ - 6} \\ m = \frac{13}{6} \)

ATTACHED IS THE SOLUTION.

I also provided you with the formula to calculate the slope between the points.

formula to calculate the slope between the points.GOODLUCK

The human heart beats approximately 4.1975 x 10⁸ times in one year and it expressed in scientific notation.

According to the question, the average human heart beats 1.15 x 10⁵ times a day. We need to find out how many times the heart beats in one year, which is 3.65 x 10² days.

To calculate the total number of heartbeats in one year, we can multiply the number of heartbeats in a day by the number of days in a year. Therefore, we have:

Total number of heartbeats in one year = 1.15 x 10⁵ beats/day x 3.65 x 10² days/year

= (1.15 x 3.65) x (10⁵ x 10²) beats/year

= 4.1975 x 10⁸ beats/year

This number may seem large, but it is necessary for the heart to pump blood throughout the body to keep us alive and healthy.

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Answer:

I support, but this is actually the addition.

492+817 = 1309, yes :)

Step-by-step explanation:

Answer:

I believe that It will take 3 days if 8 farmers will plow 3-hectare land.

Step-by-step explanation:

The work doubled so days will be less in a half.

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Elena's yearly cash inflows from the project after the payback period is $15,000. A correct answer is an option (b).

The payback period is the time it takes for the project's cash inflows to equal the initial investment. In this case, the payback period is 6 years, meaning that after 6 years, Elena will have received enough cash inflows to recover her initial investment of $150,000.

Since the project pays Elena an even amount per year for 10 years, and the payback period is 6 years, she will receive cash inflows for an additional 4 years after the payback period. Therefore, to calculate Elena's yearly cash inflows, we divide the remaining cash inflows by the number of years remaining:

Remaining cash inflows = $150,000 (initial investment) - cash inflows received during the payback period

= $150,000 - ($15,000 x 6)

= $60,000

Yearly cash inflows = Remaining cash inflows/number of years remaining

= $60,000 / 4

= $15,000

Hence, B is the correct option.

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The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

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The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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As from question asking the probability of A be the event "the outcome is a divisor of 4".

According to given table there are three divisor of 4 i.e 1 and 2 and 4 so the probability for A is:

The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.

To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.

Plugging in these values into the quadratic formula, we have:

x = (-4 ± √(4² - 4(1)(9))) / (2(1))

x = (-4 ± √(16 - 36)) / 2

x = (-4 ± √(-20)) / 2

Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:

x = (-4 ± i√20) / 2

x = (-4 ± 2i√5) / 2

Simplifying the expression by dividing both the numerator and denominator by 2, we get:

x = -2 ± i√5

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Answer:

2,3,5,then the last one

Step-by-step explanation:

Answer:

1.The third one

2. The last one

3. The second one

4. The fifth one

Step-by-step explanation:

Answer:

The correct answer is B. Landsat is the oldest existing satellite program in the world, since it was inaugurated in 1972 by NASA. As of today, 8 satellites of this type have been launched, which have the task of collecting images that allow to gather information applicable to defense, communications, agriculture, meteorology and various other natural sciences.

The expression for the combined perimeter of the rectangles is 14a + 2b + 4

From the question, we have the following parameters that can be used in our computation:

The figure

The perimeter of the figure is the sum of the side lengths

Using the above as a guide, we have the following:

Perimeter = 4 * 3a + 2a + 2b + 4

When the expression is evaluated, we have

Perimeter = 14a + 2b + 4

Hence, the perimeter of the figure is 14a + 2b + 4

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Answer:

Step-by-step explanation:

In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.

From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are

B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6

C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2

D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

The results are the same irrespective of the arrangement of the numbers.

The dimensions of the 12 by 12 yd office where the coverings is sold in square meters, will require 121 m^2 of coverings

The dimensions of the office is; A 12 yd by 12 yd.

Therefore, the area of the office, A is found as follows;

A = 12 yd × 12 yd = 144 yd^2

Using unit conversion factors, we have;

1 yd^2 = 0.836127 m^2

Therefore;

144 yd^2 = 144 × 0.836127 m^2 = 120.402 m^2

Given that the floor covering is sold in square meters, the number of square meters she will need is obtained by rounded to the next whole number, which is; 121 m^2.

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Answer:

In bold.

Step-by-step explanation:

a.  (x+5)^2 – 3x(x+5)     x+5 is common

= (x + 5)(x + 5 - 3x)

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

b.  (x + 5)(5 - 2x) = 0

x = -5, 2.5.

2a.   Area of the square = (x + 5)^2

Area of triangle AEB

= 1/2 * base * height  

I am assuming that  H is the centre of AB , so

Area = x*x

= x^2.

2b

6x^2 = (x + 5)^2

6x^2 = x^2 + 10x + 25

5x^2 - 10x - 25 = 0

x^2 - 2x - 5 = 0

x = [-(-2) +/- sqrt(2^2 - 4*1*-5)] / 2

x = -1.45, 3.45.

 (we ignore the negative).

the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined which shape is formed as Square

When the coordinates (1,1), (7,3), (8,0) and (2,-2) are joined, a square is formed. The sides are equal length and the angles are all 90 degrees.The coordinates (1,1), (7,3), (8,0) and (2,-2) are points on a two-dimensional plane. When the points are connected, a square is formed. A square is a four sided shape with four 90 degree angles and four equal length sides. The length of each side can be calculated by finding the distance between the two points. For example, the distance between (1,1) and (7,3) is 6 units. Therefore, the length of each side of the square is 6 units.

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Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

12

Step-by-step explanation:

since 1 inch equals 2.54 cm then 11 inches equals 27.94 cm

27.94 ÷ 2.33 = 11.99

Answer:

x=-3

Step-by-step explanation:

Answer:

marked price = $69,000

Step-by-step explanation:

cost price = $60,000

profit

= 15%

= 15% × cost price

= 15/100 × $60,000

= $9000

marked price

= cost price + profit

= $60,000 + $9000

= $69,000

The expected change in m if GDP increases by 4% is approximately -2%.

The given equation is a logarithmic regression model that relates the quantity of (real) money (m) to the value of (real) gross domestic product (GDP) and the nominal interest rate (R). The equation is expressed as ln(m) = β0 + β1ln(GDP) + β2R, where β1 = 2.78 and β2 = -0.09.

To determine the expected change in m when GDP increases by 4%, we need to substitute the new GDP value into the equation and calculate the resulting change in m.

Let's consider the scenario where the initial GDP increases by 4%. We can calculate the change in m by plugging the new GDP value into the equation:

ln(m') = β0 + β1ln(GDP') + β2R,

where m' represents the new quantity of money and GDP' is the new GDP value.

Since we are interested in the change in m, we subtract the initial equation from the new equation:

ln(m') - ln(m) = β0 + β1ln(GDP') + β2R - β0 - β1ln(GDP) - β2R,

Simplifying the equation:

ln(m'/m) = β1(ln(GDP') - ln(GDP)),

Using the property of logarithms, ln(a) - ln(b) = ln(a/b):

ln(m'/m) = β1ln(GDP'/GDP).

Now, we know that GDP increased by 4%, so GDP'/GDP = 1 + 0.04 = 1.04. Substituting this value into the equation:

ln(m'/m) = β1ln(1.04),

Since ln(1.04) is a constant, we can multiply both sides by β1:

ln(m'/m) * β1 = \(β1^2\) * ln(1.04),

ln(m'/m) * β1 = 2.78 * ln(1.04),

Finally, we can solve for ln(m'/m) by dividing both sides by β1:

ln(m'/m) = 2.78 * ln(1.04) / β1.

Using the given values, β1 = 2.78 and β2 = -0.09, we can calculate the approximate change in m by exponentiating both sides:

m'/m = \(e^(^2^.^7^8^ *^ l^n^(^1^.^0^4^)^ /^ β^1^)\).

Substituting the values, we find:

m'/m ≈ \(e^(^2^.^7^8^ * ^l^n^(^1^.^0^4^)^ / ^2^.^7^8^)\) ≈ \(e^l^n^(^1^.^0^4^)\) ≈ 1.04.

This means that the expected change in m, when GDP increases by 4%, is approximately 1.04. To express this as a percentage change, we subtract 1 and multiply by 100:

Percentage change = (1.04 - 1) * 100 ≈ 4%.

Therefore, the expected change in m, when GDP increases by 4%, is approximately -2% (rounded to the nearest integer).

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The measurement capacity of the freezer is; 50 cubic feet

A freezer has dimensions which are length, width and height.

Now, for us to calculate the capacity of the freezer, we need to first measure the height and the width of the freezer's opening. Then we multiply the depth, height and width together to determine the capacity in cubic feet

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The area of each small square is (2.1)² = 4.41 cm². Therefore, the area of the unshaded part is 4 x 4.41 = 17.64 cm².

To find the unshaded area of a square that has been divided into equal sections on each side.

Since each side is divided into 3 equal sections, there are 4 smaller squares that make up the unshaded part.

We can find the side length of each smaller square by dividing the length of one side of the larger square (6.3 cm) by 3.

This gives us a side length of 2.1 cm for each smaller square.

To find the area of each smaller square, we multiply the length and width together, giving us (2.1)² = 4.41 cm².

Since there are 4 smaller squares in the unshaded part, we multiply 4.41 cm² by 4, giving us a total area of 17.64 cm² for the unshaded part.

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The approximate correlation of the data shown on the diagram above is: C. -0.5.

The question says we should approximate the correlation using the given scatter plot. Below shows a detailed explanation on how to do a rough estimation of the possible value of the correlation.

Correlation Coefficient, r, is a numerical value of -1 to 1, which tells how strongly related two variables are. If the points on a scatter plot form a trendline that slopes upwards, it is a positive correlation. If it slopes downwards, it is a negative correlation.

The magnitude of the correlation coefficient is dependent on how father apart the points are from each other along a trend line. If they are much farther apart from each other, the correlation coefficient would far from 1 and -1, and close to zero. If they are closer, it would be close to 1 or -1, and far from 0.

The scatter plot shows the data points are moderately spaced from each other and the trendline slopes downwards. Therefore, the best estimate for the correlation is: C. -0.5.

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6 because the rest is blocked out

The cup which fills first among the seven cups is the sixth cup because the way rest six are blocked

According to the given figure in the form of ordinal numbers are

The second cup is blocked from the bottom part

The third cup is blocked by the thicker pipe.

The fourth cup is blocked by the thicker pipe itself which does not allow the liquid to enter the thinner pipe.

The fifth cup is blocked by the thicker pipe again.

The Sixth pipe does not contain any obstacles which divert or block the passage of liquid

The seventh glass is again blocked at the thinner pipe.

Thus sixth glass will fill up faster when compared with others.

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