when looking at the results of a 99% confidence interval, we can predict what the results of the two-sided significance test will be:

Please find attached the completed table of the percentage changes on the amounts drawn with MS Word.

The percentage change on an amount is found by finding ratio of the change in the amount to the original amount then multiplying the obtained ratio by 100.

The percentage change formula is presented as follows;

Where;

Making each of the variables the subject, indicates;

The new amount, [tex]x_2 = \dfrac{\%C \times x_1}{100} + x_1[/tex]

[tex]\%C \times x_1+100\cdot x_1 = 100\cdot x_2[/tex]

[tex]x_1\cdot (\%C+100) = 100\cdot x_2[/tex]

The original amount, [tex]x_1 = \dfrac{100\cdot x_2}{(\%C+100)}[/tex]

The percentage change, [tex]\%C = \dfrac{c}{x_1} \times 100[/tex]

The original amount, [tex]x_1 = \dfrac{c}{\%C} \times 100[/tex]

Using the above formulas, the completed table is created with MS Excel and is presented as follows;

Original amount  Change  Percent Change   New Amount

68 [tex]{}[/tex]                        15            22.1                        83

590 [tex]{}[/tex]                    -40          -6.8                         550

115 [tex]{}[/tex]                       20           17.4                         135

120[tex]{}[/tex]                      -33           -27.5                       87

125[tex]{}[/tex]                     -39           -31.2                        86

163   [tex]{}[/tex]                   47             28.8                       210

274[tex]{}[/tex]                     145.22       17.4                        419.22

70 [tex]{}[/tex]                      -15.4         -27.5                       54.6

1400[tex]{}[/tex]                  -1050         22.1                        350

1250[tex]{}[/tex]                  -25            -2.0                         1225

0.24[tex]{}[/tex]                    0.3            125.0                      0.54

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Answer: 9,000 mL

Step-by-step explanation:

If you multiply 2,000 by 4, you would get 8,000 & if you multiply .5 by 2,000, you get 1,000. If you add both the totals, you would end up with a final answer of 9,000 mL.

Answer:

m = -2

Step-by-step explanation:

slope of AB

(4-3)/(-1-2)= 1/-3 = -1/3

parallel lines have the same slope

slope of CD = -1/3

we can now find the line that passes through the point C

y-5= -1/3(x-4)

y = -1/3 x +4/3 +5

y = -1/3 x + (4+15)/3

y = -1/3 x + 19/3

this line must passes also through the point D

we know its y, so:

7 = -1/3 x + 19/3

(7 * 3) = (-1/3 x + 19/3) * 3

21 = - x + 19

x = 19 - 21

x = -2

Answer:

24.4 km

Step-by-step explanation:

The Pythagorean theorem states that a^2 + b^2 = c^2, where c is the hypotenuse of the triangle, and a and b are the legs. Plugging in your values, we get:

20^2 + 14^2 = c^2

Simplify: 400 + 196 = c^2

Simplify again: 596 = c^2

Square root both sides to cancel out the exponent on the right: 24.4131=c

Round: 24.4

The model which model the dimensions of the bed has been attached.

Perimeter of the bed = 2(length + width)

= 2(6 + 4)

= 2(10)

= 20 feet

Area of the bed = Length × width

= 6 feet × 4 feet

= 24 square feet

Total perimeter = 14 + 10 + 10 + 6

= 40 feet

Therefore, the items listed can not all be underneath your bed because the total perimeter of the items is greater than the perimeter of your bed.

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Answer:

Step-by-step explanation:

weknr f not sure

Answer:

12

Step-by-step explanation:

1/2x+1/3x=10

We simplify by making common denominator and adding them (if you don’t know how to do that please tell me)

3/6x+2/6x=10

5/6x=10

Now divide 5/6 on both sides

5/6x=10

/5/6. /5/6

x=10*6/5

x=60/5

x=12

Hopes this helps please mark brainliest

The proportion of cats in the sample suffers from separation anxiety is 33%

Given 432 cats, a sample of 42 cats is taken.

Out of these 42, cats 14 are suffering from separation anxiety.

The proportion of cats suffering from separation anxiety is: 14/42

The percentage of Cats suffering from separation anxiety is:[tex]\frac{14}{42}*100[/tex]%

This is equal to 33%, rounding off to the nearest percentage value.

Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.

The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.

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The proportion of cats in the sample suffers from separation anxiety is 33%

Given 432 cats, a sample of 42 cats is taken.

Out of these 42, cats 14 are suffering from separation anxiety.

The proportion of cats suffering from separation anxiety is: 14/42

The percentage of Cats suffering from separation anxiety is:(14/42)*100%

This is equal to 33%, rounding off to the nearest percentage value.

Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.

The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.

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An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The table is

x   0     1     2

y  -3    -1     1

The graph of the line is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Equation of a line:

y = 2x  - 3

y = 2 x 0 - 3 = -3

y = 2 - 3 = -1

y = 2 x 2 - 3 = 4 - 3 = 1

Table

x   0     1     2

y  -3    -1     1

The graph of the straight line is given below.

Thus,

The table is

x   0     1     2

y  -3    -1     1

The graph of the line is given below.

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The image of (5, 8) after a reflection over the line y = - x is (-5, -8 ).

To see the graph.

Given,

In the question:

What is the image of (5,8) after the reflection over the line y= -x?

Now, According to the question:

The image of (-5,8) after a reflection over the y-axis

When a point is reflected over y axis, then the value of x changes to -x.

the value of y remains the same.

But, It is given that  the reflection over the line y= -x

Hence, The image of (5, 8) after a reflection over the line y = - x is

(-5, -8 ).

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Answer:

m = -5

Step-by-step explanation:

I'm not sure of the first part, but this is how to solve the second:

5m > -25

5m/5 > -25/5

m = -5

The number of wrapped present with 20 centimeters of tape is given as 5 presents.

In this question, we have the following values

12 centimeters of tape was used to wrap 3 presents

hence we would have

12 = 3 presents - - - - 1

Then we are to know the presents that would be wrapped with the use of 20 centimeters of tape.

we would have

20 = ? presents - - - 2

We have to bring the equations together

12 = 3 presents

20 = ? presents

? is the presents that is to be wrapped with 20 centimeters of tape. It is our unknown.

We would have to cross multiply

12 x ? = 3 x 20

12? = 60

We would have to divide through by 12 in order to get the unknown

? = 60 / 12

? = 5

Hence the number of presents that she wrapped is given as 5

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The value of the summation will be equal to 3.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that X=3/5, Y=1/3, and z=2⁴/₅.

The value of the Z+ ( X x Y ) will be calculated as,

E = Z + ( X x Y )

E = 2⁴/₅ + ( 3 / 5 ) x ( 1 / 3 )

E = 14 / 5 + 1 / 5

E = 15 / 5

E = 3

Therefore, the value of the summation will be equal to 3.

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The area of the parallelogram shown in this problem is of:

A = 432 units squared.

The area of a parallelogram of base b and height h is given by the multiplication of these two dimensions, as presented as follows:

A = b x h.

In this problem, these dimensions are given as follows:

(the height is perpendicular to the sides of the parallelogram, forming an angle of 90º, as is the case in this problem).

Hence the area of the parallelogram, applying the multiplication of the obtained base and height, is calculated by the multiplication of the base and of the height given as follows:

A = 27 x 16 = 432 units squared.

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Answer:

432

Step-by-step explanation:

The area of a parallelogram is the product of a side length (the base) and the perpendicular distance between that side and the opposite side (the height). In this case, we can use (line)DC as a base and (line)EG as the matching height, so the area is equal to

(DC) ∙ (EG) = 27 ∙ 16 = 432.

8 ounce of brown rice and 9 ounce quinoa sold.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Brown rice: $2.00 per pound

Quinoa: $4.50 per pound

let the brown rice sold x ounces

and, let the Quinoa sold be y ounces

So, the equations are:

x + y= 17

2x+ 4.5y= 54

2( 17- y) + 4.5y= 54

34 - 2y + 4.5y= 54

2.5y= 20

y= 20/2.5

y= 8 ounce

and, x= 17-8= 9 ounce

Hence, 8 ounce of brown rice and 9 ounce quinoa sold.

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Using the concepts of the hypothesis test, it is found that the p-value is of 0.0007 corresponding to  ten students who  were surveyed and asked how many hours they spent playing video games.

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H[tex]_o[/tex] = μ=10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₁=μ> 10.2

Ten students were surveyed, so there are 9 df. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.0007.

Hence, when the ten students were surveyed and asked how many hours they spent playing video games and the test statistics is equal to 0.45,then the p-value is 0.0007

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The ladder Brian borrowed for painting should go 19.08 feet up the house if Brian sets the base 6 feet from the house

information given in the question

hypotenuse = 20-foot ladder

adjacent = 6 feet from the house

opposite =  how far up the house = ?

The problem is solved using the Pythagoras theorem is applicable to right angle triangle.  the formula of the theorem is

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

20² = 6² + x²

400 = 36 + x²

400 - 36 = x²

x² = 364

x = √364

x = 19.08

The ladder Brain borrowed will go 19 feet high

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An equation relating x and y is given by y = 3x/4 - 11/2.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

For the slope of this line using point AB, we have:

Slope of AB = (2 - (-1))/10 - 6)

Slope of AB = (2 + 1)/4

Slope of AB = 3/4

Since point AB and points (2, -4), (x, y) all lie on the same straight line, they would all of the same slope. Therefore, an equation relating x and y can be calculated as follows:

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

3(x - 2) = 4(y + 4)

3x - 6 = 4y + 16

4y = 3x - 6 - 16

4y = 3x - 22

y = 3x/4 - 22/4

y = 3x/4 - 11/2

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The the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the function -

x = y

We have the function -

y = x

Now, we can define locus as -

A curve or other figure formed by all the points satisfying a particular equation of the relation between coordinates, or by a point, line, or surface moving according to mathematically defined conditions.

This equation -

y = x

is a straight line.

Refer to the graph attached.

The slope of the line is [m] = 1

The [y] intercept is at [c] = 0

Therefore, the the locus of the equation y = x is a straight line. The slope of the linear function → y = x is [m] = 1 and the [y] intercept is at [c] = 0.

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The quadratic equation 8x² + 16x + 3 = 0 can be solved by using the quadratic formula.

The given quadratic equation is : 8x² + 16x + 3 = 0

Comparing this equation with  ax² + bx + c = 0 we get :

a = 8 , b = 16 and c = 3

Now we will use the quadratic formula:

[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]

Now we will substitute the values in this formula to find the values of x that satisfy the quadratic equation.

[tex]{\displaystyle x={\frac {-16\pm {\sqrt {16^{2}-4\times8\times3}}}{2\times8}}}\\\\{\displaystyle x={\frac {-16\pm {\sqrt {160}}}{16}}}\\\\[/tex]

The values for x that satisfy the equation are the roots or zeros of both expressions on the left-hand side of the equation. In a quadratic problem, there can only be two possible solutions.

A problem is said to have a double root if there is only one solution. One real double root, two complex solutions that appear to be complex conjugates of one another, two real solutions, or two real solutions if all the coefficients have real values are the only options.

Hence the values of x are : [tex]-\frac{4-\sqrt{10}}{4}[/tex] and [tex]-\frac{4+\sqrt{10}}{4}[/tex].

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The probability of favorable  outcomes  P(E) = 37/256

What is probability in math?

Given,

      8 coins are faced simultaneously .

total outcomes = 2 * 2 * 2* 2 * 2 * 2 * 2 * 2

                             = 2⁸

                             = 256

favorable outcomes = 6 heads + 7 heads + 8 heads

                      = ⁸C₆ + ⁸C₇  + ⁸C₈

                       = 28 + 8 + 1   = 37

the probability of favorable  outcomes =            

              P(E) = 37/256

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The correct value of the simplified expressions found using the laws of indices gives;

The laws of indices state rules that enable the simplification of the combination of expressions of numbers and variables that are given in index form or involve powers of other numbers or variables

1. [tex]3^{\frac{1}{4} } = \sqrt[4]{4}[/tex]

The radical sign is used for expressing fractional indices.

The correct option is d. [tex]\sqrt[4]{4}[/tex]

2. The radical is in its simplest form when it cannot be further simplified, which gives the radical in its simplest form as option a. [tex]\sqrt{\dfrac{5}{6} }[/tex]

3. The index of a number is the number to which the variable or number is raised

The index of x³ in [tex]\sqrt{x^3}[/tex] is d. 3

4. The given expression has y raised to the power of [tex]\frac{1}{2}[/tex], which gives;

[tex]x\cdot y^\frac{1}{2} = x\cdot \sqrt{y}[/tex]

The correct option is a. [tex]x\cdot \sqrt{y}[/tex]

5. The common index of the expression within the parenthesis is [tex]\frac{1}{2}[/tex], which gives;

[tex](x^4\cdot y^2)^\frac{1}{2} = (x^{4\times \frac{1}{2} }\cdot y^{2 \times \frac{1}{2} })=x^2\cdot y[/tex]

The correct option is b. x²·y

6. The value of all numbers raised the power of zero is 1, therefore;

[tex](2^{1/3}\cdot 3^{1/4})^0\cdot (2^{1/5}\cdot 3)^0 = 1 \times 1=1[/tex]

The correct option is b. 1

7. The given expression can be simplified as follows;

[tex]\sqrt[5]{\dfrac{1}{243} } = \sqrt[5]{\dfrac{1}{3^5} } = \sqrt[5]{\left(\dfrac{1}{3} \right)^5} = \dfrac{1}{3}[/tex]

The correct option is therefore; a. 1/3

8. The given expression [tex]\sqrt{225\cdot x^4\cdot y^8} = \sqrt{15^2\cdot x^4\cdot y^8} = 15\cdot x^2\cdot y^4[/tex]

The correct option is [tex]15\cdot x^2\cdot y^4[/tex]

9. The given expression is [tex]\sqrt[3]{216\cdot x^9\cdot y^{15}}[/tex]

[tex]\sqrt[3]{216\cdot x^9\cdot y^{15}} = \sqrt[3]{6^3\cdot x^9\cdot y^{15}} = 6\cdot x^3\cdot y^5[/tex]

The correct option is e. [tex]6\cdot x^3\cdot y^5[/tex]

10. [tex]\sqrt{\dfrac{50}{162} } = \sqrt{\dfrac{25\times 2}{81\times 2} } = \sqrt{\dfrac{25}{81} } = \dfrac{5}{9}[/tex]

The correct option is c. [tex]\frac{5}{9}[/tex]

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The statement ""what goes up must come down. the ball went up. it will come down." can be reached through a deductive reasoning.

The mental process of forming deductive deductions is known as deductive reasoning. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if the premises cannot be true while the conclusion is false.

The primary distinction between inductive and deductive thinking is that inductive reasoning seeks to develop a hypothesis, whereas deductive reasoning seeks to test an existing theory. Inductive thinking proceeds from individual observations to broad generalizations, whereas deductive reasoning proceeds in the other direction.

In conclusion, the correct option based on the information is a deductive reasoning.

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Answer: the slope is unidentified

Step-by-step explanation:

The 20 and 21 unit leg lengths of the right triangles ΔACD and ΔBCD formed by the altitude CD indicates, by using Pythagorean theorem that the length of BC is 29 units

A right triangle is a triangle that has two perpendicular sides. The altitude of a triangle is perpendicular to the base of the triangle, forming two right triangles in acute triangle.

Angle ∠A = 45°

The length of the segment the altitude CD divides AB into = 20 and 21 units

Please find attached a drawing created using MS Word based on the question parameters.

[tex]tan(\angle A) = \dfrac{CD}{AD}[/tex]

AD = 20

Therefore;

[tex]tan(45^{\circ}) = \dfrac{CD}{20}[/tex]

CD = 20 × tan(45) = 20

Pythagorean theorem applied to right triangle ΔCBD, indicates that;

[tex]\overline{BC}^2[/tex] = [tex]\overline{CD}^2[/tex] + [tex]\overline{DB}^2[/tex]

DB = 21 units, which gives;

[tex]\overline{BC}^2[/tex] = 20² + 21² = 841

BC = √(841) = 29

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There are no pair of numbers that multiply to 36 and add up to -7

The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.

The pairs of factors of 36 that multiply to 36 are:

From the pair of numbers above, none add up to -7

Therefore, there is no pair of numbers whose product is 36 and sum is -7

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The greatest product that PQ x RS can have: 96 * 87 = 8352

In this question, we have been given PQ and RS represents a 2-digit numbers. Different letter represent different digits, chosen from 6, 7, 8 and 9

We need to find the greatest product that PQ x RS can have.

Consider P = 9, Q = 6, R = 8 and S = 7

So the two digit numbers would be,

PQ = 96 and RS = 87

PQ x RS

= 96 * 87

= 8352

Therefore, the greatest product that PQ x RS can have: 96 * 87 = 8352

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The correct way to write 0.0000250 m in scientific notation is 2.5 · 10⁻⁵ m.

Scientific notation is a convenient way to write numbers that are very large or very small. A number written in scientific notation consists of a number greater than or equal to 1 but less than 10 multiplied by a power of 10. Here are some examples of numbers written in scientific notation:

Since you're given a number less than 1, move the decimal point to the right until you have a number between 1 and 10. Then, count the number of times you moved the decimal and write that as negative exponent over a base of 10. Finally, write out number multiplied by the power. You'll get 2.5 · 10⁻⁵ if you do those things correctly.

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Answer:

A. 2.50 Times. 10–5 m

Step-by-step explanation:

other one is wrong