We calculated that the value of the test statistic is z = 3.53. Next we will calculate the P-value. Since the alternative hypothesis is of the form p > Po, the P-value is the area under the z curve to the right of the calculated value of the test statistic. Using SALT, we find that the cumulative probability associated with a z test statistic of 3.53, rounded to four decimal places, is 1.6449. We can use the cumulative probability to find the P-value. (Round your answers to four decimal places.)P-value = (z curve area to the right of 3.53) = P(z < 3.53) = 1 1.6449 xP Value is =

Answer:

The first will be the distributive property.

The second will be adding 6x on both sides.
The third will be subtracting 2 on both sides.

The fourth is dividing both sides by 11.

The last is the solution.

Step-by-step explanation:

Whenever you see parentheses with an operator between numbers, you use the distributive property(Meaning to multiply -3x(2) and 2(4).
Which gets you to the second step. Adding 6x on both sides. This action will undo the -6x and adding 5x + 6x will get you 11x.
Then, you subtract +2(canceling it entirely, because remember: we need to isolate x on one side of the equation).
Lastly, you will divide both sides by 11 to get to your solution.

x = 6/11

Answer:

Step-by-step explanation:

1) m // n                Given

2) ∠1 ≅ ∠2           Alternate interior angles

3) ∠1 ≅ ∠3           Given

4) ∠2 ≅ ∠3          From step 2

5) p // q                corresponding angles are congruent, then lines are  parallel                                  

Answer:

The correct option is;

80

Step-by-step explanation:

The standard deviation of the components = 2.2 mm

The difference in the mean = 0.3

The level of confidence (power)= 80%

The formula for finding the sample size is given as follows;

\(n = \dfrac{2 \times \left [ (a + b)^2 \right ] \times \sigma ^2}{\left (\mu_1 - \mu_2\right )^2}\)

Where;

μ₁ - μ₂ = Is the difference in the mean = 0.3

a = The α multiplier = 0.05

b = The power multiplier = 0.8

σ = The standard deviation

n = The sample size

By substituting in the values, we have;

\(n = \dfrac{2 \times \left [ (0.05 + 0.8)^2 \right ] \times 2.2 ^2}{\left (2.2\right )^2} = 77.7\)

n ≈ 8

Rounding up to the next 10th gives;

n = 80

Therefore, the correct sample size should be about 80

Step-by-step explanation:

-2(x + 10) + 4 = -32

-2(x + 10) = -32 -4

-2(x + 10) = - 36

x + 10 = (-36)/(-2)

x + 10 = 18

x = 18 - 10

x = 8

8 is a solution ... true

A. assignment of experimental units to treatments within each block. Blocking is a technique used to reduce random error by grouping experimental units (e.g. participants in an experiment) that are similar.

Technique is a method or procedure used to achieve a specific goal. It is a particular way of accomplishing a task that is efficient and effective. Techniques are typically developed through practice, trial and error, or research. Techniques can be used in many different fields, including art, science, business, education, engineering, and sports. Techniques often require specific skills, knowledge, or experience in order to be used properly.

Within each block (group of similar units), randomization is used to assign each unit to a different treatment. This helps to ensure that any effects seen in the experiment are due to the treatment and not to any individual characteristics of the participants.

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If the average value of the function f on the interval 1 < x < 4 is 8,  the value of so (3f(x) + 2x) dx is 15. None of the given options (A, B, C, D) is correct.

To find the value of ∫(3f(x) + 2x) dx over the interval 1 < x < 4, we need to use the given information that the average value of the function f on this interval is 8.

The average value of a function f(x) over the interval [a, b] is given by:

Avg(f) = (1 / (b - a)) * ∫[a, b] f(x) dx

In this case, the average value of f on the interval 1 < x < 4 is 8. So we have:

8 = (1 / (4 - 1)) * ∫[1, 4] f(x) dx

8 = (1 / 3) * ∫[1, 4] f(x) dx

Multiplying both sides by 3, we get:

24 = ∫[1, 4] f(x) dx

Now, we can substitute this value into the integral we want to evaluate:

∫(3f(x) + 2x) dx = ∫3f(x) dx + ∫2x dx

Since we know that ∫3f(x) dx over the interval 1 < x < 4 is equal to 24, and the integral of 2x dx is x², we can calculate:

∫(3f(x) + 2x) dx = ∫3f(x) dx + ∫2x dx

= 24 + x²

To find the value of the integral over the interval 1 < x < 4, we evaluate the expression at x = 4 and subtract the value at x = 1:

∫(3f(x) + 2x) dx = 24 + (4)² - (24 + (1)²)

= 24 + 16 - 24 - 1

= 15

Therefore, the value of ∫(3f(x) + 2x) dx over the interval 1 < x < 4 is 15.

None of the given options (A, B, C, D) match the calculated value of 15.

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Step-by-step explanation:

One cable company charges $50 per month for their basic plan, plus $75 installation. A second company charges $55 per month, but offers free installation. For what number of months is the first plan cheaper than the second plan?

50m + 75 < 55m

subtract 50m from both sides:

50m + 75 -50m < 55m - 50m

75 < 5m

divide both sides by 5:

75/5 < 5m/5

15 < m

or m > 15

so:

The first plan cheaper than the second plan after 16+ months

Hope this helps and please give brainlist

The Analyst can use COALESCE function to eliminate the null values from the results.

The SQL Coalesce functions is used to handle NULL values. During the expression evaluation process the NULL values are replaced with the user-defined value. It  returns the first non-NULL value from a series of expressions.

The SQL Coalesce function evaluates the arguments in order and always returns first non-null value from the defined argument list.

Few Properties of COALESCE Function

SYNTAX -

COALESCE ( expression [ ,...n ] )  

Hence, the analyst can use COALESCE function to eliminate the null values from the results.

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Answer:

16x25x15=6000

4+11÷2=9.5

Step-by-step explanation:

1) 16x25x15 is 16 times 25 times 15, which is 6000

2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5

Answer:

81

Step-by-step explanation:

A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.

\(9^{2} = 81\)

Answer: 81

Step-by-step explanation:

81 can be perfectly square rooted into 9. \(\sqrt{81}=9\)

Answer:

x pluse 10 y pluse 4 ...don't mind the dots

Answer:

B. 81 in.²

Step-by-step explanation:

We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.

The area of the original trapezoid is 36 square inches.

Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.

The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.

1.5 × 1.5 = 2.25

Area of new trapezoid: 2.25 × 36 in²

Area of new trapezoid = 81 in²

The area of the enlarged trapezoid would be 81 in² or option B.

Answer:

x= -3

Step-by-step explanation:

Answer:

x = -3 hope this help  

The independent variable is typically plotted on the x-axis, while the dependent variable is plotted on the y-axis.

To determine the value of the independent variable at point A on a graph, we need to look at the x-axis of the graph.

The x-axis represents the independent variable, which is the variable that is being manipulated or changed in an experiment or study.

At point A on the graph, we need to identify the specific value of the independent variable that corresponds to that point.

This can be done by looking at the position of point A on the x-axis and reading the value that is associated with it.

For example, if the x-axis represents time and the independent variable is the amount of light exposure, point A may represent a specific time point where the amount of light exposure was measured.

In this case, we would need to look at the x-axis and identify the time value that corresponds to point A on the graph.

This information is important for understanding the relationship between the independent variable and the dependent variable, and for drawing conclusions from the data.

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The resulting units are kilograms grams milligrams, mole grams liter, ft^2g mL ft gmL

To evaluate the given unit expressions, we can apply the rules of multiplying units similar to multiplying fractions.

(kilogram)(kilogram grams)(gram milligrams):

The units cancel out as follows:

(kilogram)(kilogram grams)(gram milligrams) = (kilogram)(grams)(milligrams)

Therefore, the resulting units are kilograms grams milligrams.

(mole)(mole grams)(gram liter):

The units cancel out as follows:

(mole)(mole grams)(gram liter) = (mole)(grams)(liter)

Therefore, the resulting units are mole grams liter.

(mL)(cmmg)(mLcm3):

The units cancel out as follows:

(mL)(cmmg)(mLcm3) = (mL)(cm mg)(cm^3)

Therefore, the resulting units are mL cm mg cm^3.

(f^2g)(mLft)(gmL):

The units cancel out as follows:

(f^2g)(mLft)(gmL) = (ft^2g)(mLft)(gmL)

Therefore, the resulting units are ft^2g mL ft gmL.

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If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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( x - 2) ( x - 4 ) is function which is equal to g(x) .

In the simplest terms, what is a function?

f(x) = x² - 1

f( x - 3 ) = ( x - 3 )² - 1

             = x² + 9 - 6x -1

             = x² -6x + 8

             = x² -4x -2x + 8

             = x( x - 4 ) -2( x - 4)

             = ( x - 2) ( x - 4 )

g(x) = f(x - 3)

       = ( x - 2) ( x - 4 )

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The partial fraction decomposition of 1/(x+1)(x²+4) is A/(x+1) + (Bx+C)/(x²+4), where A, B, and C are constants.

To find A, we multiply both sides of the equation by (x+1) and then let x = -1. This gives us A = 1/5.

To find B and C, we use the method of equating coefficients. We set 1/(x+1)(x²+4) equal to A/(x+1) + (Bx+C)/(x²+4), and then multiply both sides by (x+1)(x²+4). This gives us 1 = A(x²+4) + (Bx+C)(x+1).

We can now equate coefficients. The constant term on the left side is 0, and the constant term on the right side is A+B. Therefore, B = -1/5.

The coefficient of x on the left side is 0, and the coefficient of x on the right side is C+A. Therefore, C = 1/5.

The partial fraction decomposition of 1/(x+1)(x²+4) is A/(x+1) + (Bx+C)/(x²+4) = 1/5/(x+1) - 1/5x/(x²+4) + 1/5/(x²+4).

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The points that are part of the solution set are (3, 7), (8, 1), and (10, 2).

The coordinate plane is a two-dimensional space formed by two perpendicular lines called the x-axis and y-axis. The point where the two axes intersect is called the origin. Each point in the plane is identified by a pair of numbers called its coordinates, where the first number represents its position along the x-axis and the second number represents its position along the y-axis. Coordinates are typically written as (x, y), with the x-coordinate listed first and the y-coordinate listed second. The coordinate plane is commonly used in mathematics to graph and analyze equations, functions, and geometric shapes.

Let x be the number of bags of popcorn and y be the number of bags of cotton candy. Then the cost constraint is:

3x + 7y ≤ 56

We also have the constraint that Chris needs at least 7 bags of popcorn:

x ≥ 7

To graph these constraints, we can rewrite them in slope-intercept form:

y ≤ (-3/7)x + 8

x ≥ 7

The first inequality has a slope of -3/7 and a y-intercept of 8, and the second inequality is a vertical line at x = 7.

To plot the points that are part of the solution set, we can simply plug them into the two inequalities and see if they are true. The points that satisfy both inequalities are part of the solution set.

(3, 7) satisfies both inequalities:

7 ≤ (-3/7)(3) + 8

3 ≥ 7

(2, 2) does not satisfy the first inequality:

2(7) > 3(2) + 7

(8, 1) satisfies both inequalities:

1 ≤ (-3/7)(8) + 8

8 ≥ 7

(10, 2) satisfies both inequalities:

2 ≤ (-3/7)(10) + 8

10 ≥ 7

(5, 5) does not satisfy the first inequality:

5(7) > 3(5) + 7

Therefore, the points that are part of the solution set are (3, 7), (8, 1), and (10, 2).

To graph these on the coordinate plane, we can plot the vertical line x=7 and the line y= (-3/7)x + 8, and then shade in the feasible region below the line and to the right of the vertical line.

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Given matrices are u=6 −3 6 and v= −4 −2 3. u•v=0u2 =81v2 =29u v2 =0

When multiplying two matrices, it is important to verify that the inner dimensions match. If you try to multiply two matrices that don't have compatible inner dimensions, you will get the following error message:

"Error using * Inner matrix dimensions must agree.

"The product of matrices AB is defined if the number of columns of A is equal to the number of rows of B.The product matrix AB is defined as follows:

If A is an m x n matrix and B is an n x p matrix then AB is an m x p matrix u•v Calculation:6 −3 6 • −4 −2 3= (6)(-4)+(-3)(-2)+(6)(3)=-24+6+18=0So, u•v=0u2

Calculation:u2 =u•u= 6 −3 6 •6 −3 6= (6)(6)+(-3)(-3)+(6)(6)=36+9+36=81

Therefore, u2 =81v2 Calculation:v2 =v•v= −4 −2 3 • −4 −2 3=(−4)(−4)+(−2)(−2)+(3)(3)=16+4+9=29Therefore, v2 =29u v2 Calculation:u v2 =u•v•v= (6 −3 6 )• ( −4 −2 3 )2u v2 =0•(−4 −2 3 )=0Therefore, u v2 =0.

Summary:Given matrices are u=6 −3 6 and v= −4 −2 3. u•v=0u2 =81v2 =29u v2 =0

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Both of these are correct. When multiplying 32 and 8, we should follow these steps:

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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Answer:

B.

Step-by-step explanation:

hope it helps :)

Answer:

a^m-n

Step-by-step explanation:

You subtract powers when it is a divide

When doing transformations and shipments to absolute value functions is:

When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift

When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.

The vertex for the general form of an absolute value function is (h,k)

The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".

Answer:

The expression that is not correct is:

The vertex for the function is (k,h)

Answer:

The answer is 26.

Step-by-step explanation:

7 x 4 = 28 so

28 + (-2)=

26

Answer:

26

Step-by-step explanation:

7y+z=

y =4 and z = -2

7(4)+-2

28+-2

26

Hence, the answer is 26.

The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.

To estimate the population after one year, we can use the formula for exponential growth:

P = P0 * (1 + r)^t.

P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).

Using these values, we can calculate the population after one year as follows:

P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34

Therefore, the estimated population after one year is approximately 34 deer.

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Answer:

This is a required answer:look it once.

The three angles above the bottom line are supplementary, so they add up to 180° in measure:

2x° + 90° + x° = 180°

3x° + 90° = 180°

3x° = 90°

x = 30

The angles with measure x° and 2y° are congruent, since they form a pair of interior angles that alternate with respect to the transversal (in this case, this is the ray that starts from the bottom line and point up and to the right, and passes through the parallel upper line). So

2y° = x°

2y° = 30°

y = 15

Below the upper line, the two angles 2y° and z° are supplementary, so

2y° + z° = 180°

30° + z° = 180°

z = 150

Answer:

The vertex is (4,-4)

Step-by-step explanation:

Plug in x=4 in the equation