For a left-tailed test based on a sample of 18 observations with the test statistic t = 1.9, what is the associated p-value?

The solution to the given simultaneous equations are:

(-6, -6)

There are different ways to solve simultaneous equations such as:

- Elimination Method

- Substitution Method

- Graphical Method

Now, we are given two simultaneous equations to solve graphically and the equations are:

U = V

8U = 2V - 36

Now, the graph that solves these simultaneous equations is as shown in the attached file.

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Hence, the area of the patio is approximately 226.98 square feet, rounded to the nearest tenth.

In geometry, the circumference is the perimeter of a  ellipse or circle . That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

Area is the measure of a region size on a surface. The area of a plane area  or plane region  refers to the area of a planar lamina or shape , while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

To  determine the area of a  circular patio, we need to know its radius , by using  the formula:

Circumference = 2 *[tex]\pi[/tex]* radius

where [tex]\pi[/tex]  is  approximately 3.14.

radius = [tex]\frac{Circumference}{2 * \pi}[/tex]

according to  question,

radius = [tex]\frac{53.38}{2 * 3.14}[/tex] ≈ 8.5 feet

Now  , we know  that the area of a circle:

Area = [tex]\pi * radius^{2}[/tex]

Substituting the value of the radius

Area = 3.14 *[tex](8.5 feet)^{2}[/tex] ≈ 226.98 square feet

Therefore, the area of the patio is approximately 226.98 square feet, rounded to the nearest tenth.

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Check the picture below.

The sums are 48, 52, 39, and 50

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: The addition of three numbers

When adding, always line up the addends, the two numbers being combined, one on top of each other according to their place values. Add the numbers in the ones column first, then the tens column, and finally the hundreds column, to get the sum, or the total.

1) [tex]24+14+10=\bold{48}[/tex]

2) [tex]17+25+10=\bold{52}[/tex]

3) [tex]16+13+10=\bold{39}[/tex]

4) [tex]26+14+10=\bold{50}[/tex]

Thus the sums of the respective equations gives 48, 52, 39, and 50 respectively

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Applying the Pythagorean theorem, the value of c is 6.0.

A Pythagorean theorem is a principle that can be used to determine the unknown side of a given right triangle when the values of its other two sides are given. Pythagorean theorem states:

[tex]Hyp^{2}[/tex] = [tex]Adj^{2} + Opp^{2}[/tex]

So that from the given question, applying the Pythagorean theorem;

[tex]c^{2}[/tex] = [tex]a^{2} + b^{2}[/tex] - 2abCos θ

But, a = 2.15  and b = 5.61

So that;

[tex]c^{2}[/tex] = [tex]2.15^{2}[/tex] + [tex]5.16^{2}[/tex]

      = 4.6225 + 31.472

[tex]c^{2}[/tex] = 36.0946
c = [tex]\sqrt{36.0946}[/tex]

 = 6.0079

c = 6.0

The value of c is 6.0.

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Answer:

d    ↔   - π

e    ↔    - √8

f     ↔    - 3/2

Step-by-step explanation:

Point d is to the left of -3

All points to the left of - 3 will be smaller than -3

Smaller than -3 means the absolute value will be greater than 3 but prefixed with a negative sign

Thus - 3.5 < - 3

-4 < -3

-99 < -3

etc

π = 3.14 approx

- π = - 3.14

- 3.14 < -3 and so it is to the left of -3. The only point to the left of -3 is point d

Similarly points to the right of -3 will have absolute values > 3 but prefixed by a negative sign

So -2.5, -2, -1, -0.5 etc are all greater than -3

√8 = √(4 · 2) = √4 · √2 = 2√2

√2 ≈ 1.414

so 2√2 ≈ 2.818

-√8 = - 2.818

so it is to the right of -3 but very close to -3

That would be point e

That leaves -3/2

-3/2 = - 1 1/2 and therefore lies halfway between -2 and - 1

That would be point f

The students score for the competitive exam is 110

To find the score of the student, we can use the given information.

For correct answers

Number of correct answers = 70

Marks for correct answers

= Number of correct answers * Marks per correct answer

= 70 * 2

= 140

For wrong answers:

Number of wrong answers = 30

Marks for wrong answers

= Number of wrong answers * Marks per wrong answer

= 30 * -1

= -30

The total score

= Marks for correct answers + Marks for wrong answers

= 140 + (-30)

= 110

Hence the student's score is 110.

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The missing side of the triangle given the angle as 71° and hypotenuse as 17 to the nearest tenth is 16.1.

The correct answer choice is option C

Hypotenuse= 17

Opposite = x

Angle = 71°

Sin 71° = opposite / hypotenuse

sin 71° = x / 17

0.95105 = x / 17

cross product

0.95105 × 17 = x

x = 16.1 to the nearest tenth

In conclusion, the missing side of the triangle to the nearest tenth is 16.1

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Answer:

it's 48

Step-by-step explanation:

you must do 480×10÷100

Answer:

{-1, 1, 2, 3}

Step-by-step explanation:

To find A, we need to determine the set of all possible values of the first component of the ordered pairs in AxB.

Looking at the ordered pairs in AxB, we see that the possible values of the first component are -1, 1, 2, and 3. These correspond to the first components of the pairs (-1, 0), (1, 0), (2, 4), and (3, 5), respectively.

Therefore, A = {-1, 1, 2, 3}.

Answer:

Step-by-step explanation:

yes

The actual weight of rice in a bag labeled as a 20 pound bag is expected not to have a normal distribution.

What is normal distribution ?

A normal distribution is a common probability distribution that is bell-shaped and symmetrical around its mean value. In a normal distribution, the mean, median, and mode are all equal, and the distribution is defined by two parameters: its mean and standard deviation.

The actual weight of rice in a bag labeled as a 20 pound bag is expected not to have a normal distribution. This is because the weight of rice in a bag labeled as 20 pounds may vary due to differences in packing and other factors, and is not necessarily a normally distributed variable. The delay of flights, weights of children, and test scores are all examples of variables that may have a normal distribution under certain conditions.

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Answer:

If y varies directly with the square of x, we can express this relationship using the equation:

y = kx^2

where k is the constant of proportionality. To find the value of k, we can use the given information that y is 16 when x is 8:

16 = k * 8^2

Simplifying the equation, we get:

16 = 64k

Dividing both sides by 64, we get:

k = 16/64 = 1/4

So the equation that relates y and x is:

y = (1/4)x^2

We can use this equation to find the value of y for any given value of x. For example, if x is 10, we have:

y = (1/4) * 10^2 = 25

Therefore, when x is 10, y is 25.

The measure of the angle is 35 degrees.

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary.

Let's assume that x is the measure of the angle in question.

The complement of x is the angle that, when added to x, forms a right angle (90 degrees). Therefore, the complement of x can be represented as 90 - x.

According to the problem, the measure of the angle is 130 less than three times its own complement. We can write this information as an equation:

x = 3(90 - x) - 130

Simplifying and solving for x, we get:

x = 270 - 3x - 130

4x = 140

x = 35

Therefore, the measure of the angle is 35 degrees.

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First term: degree= 3 coefficient = -2

Second term: degree= 2 coefficient = -5

Third term: degree= 4 coefficient = -5

Fourth term: degree= 1 coefficient = -1

Fifth term: degree= 0 coefficient = 1

The leading coefficient is -5.

The degree of the leading term is 4.

The degree of the polynomial is 4.

A polynomial is an expression comprising components and coefficients, which are combined utilizing number juggling operations like extension, subtraction, and increment, but not division.

The degree of a term in a polynomial is the illustration of its variable. The coefficient of a term is the numerical figure that increments the variable.

For the case, inside the polynomial,  [tex]2x^5 - 3x^3 + x - 4 - 2x^-2,[/tex] the degree of the essential term[tex](2x^5)[/tex] is 5, and its coefficient is 2. So moreover, the degree of the third term (x) is 1, and its coefficient is 1.

The degree of the fourth term (-4) is 0, and its coefficient is -4. The degree of the fifth term [tex](2x^-2)[/tex] is -2, and its coefficient is 2. 

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The full question is
Given the polynomial,

-2x³- 5x²-[tex]5x4[/tex]+1-x

identify the coefficients and degree of each term:

First term: degree=

coefficient =

Second term: degree=

coefficient =

Third term: degree=

coefficient =

Fourth term: degree=

coefficient =

Fifth term: degree=

coefficient =

What is the leading coefficient?

What is the degree of the leading term?

What is the degree of the polynomial?

Answer:

c = 108°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × (5 - 2) = 180° × 3 = 540°

since the pentagon is regular then the 5 interior angles are congruent, so

c = 540° ÷ 5 = 108°

To multiply 3/4 by 16/9, you can multiply the numerators (top numbers) together to get the new numerator, and multiply the denominators (bottom numbers) together to get the new denominator. Then, simplify the resulting fraction if possible.

So,

(3/4) x (16/9) = (3 x 16) / (4 x 9)

= 48/36

= 4/3

Therefore, 3/4 multiplied by 16/9 is equal to 4/3.

[tex]\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{c}{\sin(142^o)}=\cfrac{42}{\sin(19^o)}\implies c=\cfrac{42\sin(142^o)}{\sin(19^o)}\implies c\approx 79.4[/tex]

Make sure your calculator is in Degree mode.

The vocabulary term for segment a is an apothem.

The area of this polygon is 41.6 yd².

In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:

Area of regular polygon = (n × s × a)/2

Where:

By substituting the given parameters into the formula for the area of a regular polygon, we have the following:

Area of regular polygon = (6 × 4 × 2√3)/2

Area of regular polygon = (24 × 2√3)/2

Area of regular polygon = 83.1/2

Area of regular polygon = 41.6 yd².

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Answer: 270 ft²

Step-by-step explanation:

The dimensions of 1 room is 10 ft x 12 ft

The other room is 10 ft x 15 ft

For area multiply the length and width and add the 2 areas

so A1 =  10x12=120 ft²

A2 = 10x15 =150 ft²

Total area is 150+120 =270 ft²

Answer:

Answer: (B) $2,450.

Step-by-step explanation:

To find the profit if the store sold 100 books, we can simply substitute n = 100 into the profit function:

p = 27n - 250

p = 27(100) - 250

p = 2,450

Therefore, the profit if the store sold 100 books is $2,450. Answer: (B) $2,450.

The domain is 0 ≤ b ≤ 6 and the range is c ≥ 30.In this situation, the function that models the total weight of a shipping crate is given as c = 24b + 30, where c represents the total weight of the crate and b represents the number of boxes packed inside.

To determine the domain and range of this function, we need to consider the constraints of the problem. It is mentioned that each crate holds a maximum of 6 boxes.

Domain: The domain refers to the set of input values that the function can accept. In this case, the number of boxes (b) cannot exceed 6 since that is the maximum capacity of each crate. Therefore, the domain of the function is 0 ≤ b ≤ 6, where b is a non-negative integer.

Range: The range represents the set of possible output values of the function. The total weight of the crate (c) is determined by the number of boxes packed inside. Since the weight of the crate increases linearly with the number of boxes, there is no upper limit to the range. The range of the function is c ≥ 30, where c is a non-negative integer representing the weight of the crate.

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Answer: 27

Step-by-step explanation:

V=lwh  

V=(3)(3)(3)

=27

Answer:

27 units

Step-by-step explanation:

If we say the cube is broken up into smaller cubes, volume is the number of tiny cubes total.

An easier way to do this is to remember that the volume equation is V=L*w*h= length*width*height, where the width is 3 cube units, the height is 3 cube units, and the length is 3 cube units. So:

V=3*3*3= 27

If this does not make sense, here is another way to think about volume.

First, lets determine what the area of one surface of the cube is. Area is length times width, so the answer is 9. We can also count the number of cubes, if that is easier.

So we found the area of one face. Now we need to know how many of these square areas makes up the cube. That is, how many 3 by squares will make the cube? From the diagram, we see that there are three cube units across, and if each face area has a width of one cube, then we multiply.

3*9= 27

Answer:

Quadrant V

Step-by-step explanation:

A co-ordinate graph only has 4 quadrants!

Answer:  Ans(1)

 In right triangle

     a = 13cos(56°)

   a = 7.3 cm

Ans(2)

   In right triangle

   b = 6/sin(35°)

Equation (2x + 10)⁴*(x + 5)³ simplifies to 16(x + 5)⁷.

We can simplify this expression by factoring out the common factor of (2x + 10) from the first term and (x + 5) from the second term:

(2x + 10)⁴ × (x + 5)³ = (2(x + 5))⁴ × (x + 5)³

We can simplify the first term by expanding the fourth power:

(2(x + 5))⁴ = 16(x + 5)⁴

Now we have:

(2x + 10)⁴*(x + 5)³ = 16(x + 5)⁴ * (x + 5)^3

We can simplify this expression further by adding the exponents of the common factor (x + 5):

16(x + 5)⁴ * (x + 5)³ = 16(x + 5)⁴⁺³ = 16(x + 5)⁷

Therefore, (2x + 10)⁴*(x + 5)³ simplifies to 16(x + 5)⁷.

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Given question is incomplete, the complete question is below

Assuming that x ≠ -5, simplify (2x + 10)⁴×(x + 5)³.

The Empty seats according to the equation will be:

United Continental = 90

American airlines = 30

Southwest airlines = 40

Let the seats in American airlines = x

so according to give condition The United continental airlines have 3x seats. and  the seats in Southwest airlines  = y  and Combined empty seat in American, United continental and  Southwest airlines = 160

4x + y = 160

59.3x + 12.4y = 2275

After solving, x = 30 and y = 40

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The solutions to the quadratic equation 3x² + x - 12 = 1 are given as follows:

[tex]x = \frac{-1 \pm \sqrt{157}}{12}[/tex]

The quadratic function in the context of this problem is defined as follows:

3x² + x - 12 = 1

Placing it into standard format ax² + bx + c = 0, we have that the equation is given as follows:

3x² + x - 13 = 0.

The coefficients are given as follows:

a = 3, b = 1, c = -13.

The discriminant is:

D = b² - 4ac

D = 1² - 4 x 3 x -13

D = 157.

Then the solutions are given as follows:

[tex]x = \frac{-1 \pm \sqrt{157}}{12}[/tex]

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