The mean of a set of data is 4.11 and its standard deviation is 3.03. Find the z score for a value of 10.86.

No, the given measurement of the sides of a triangle does not forms a right angled triangle.

As given in the question,

For the given triangle,

Length of the sides of the triangle is given by :

8cm , 5 cm , and 10cm

In the given triangle longest side is equal to 10cm

Condition for a right angled triangle:

Longest side is the hypotenuse of the right angled triangle.

By Pythagoras theorem we have,

( Hypotenuse )² = ( Side1)² + ( Side 2)²

R.H.S. ( Right hand side )

= ( 8 )² + (5 )²

= 64 + 25

= 89

≠ 10²

Here given length side of a triangle does not satisfies the Pythagoras theorem .

Therefore, the given sides of a triangle is not representing a right angled triangle.

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A Graph comprise of nodes and edges. The nodes are sometimes also denoted to as vertices and the edges are lines or arcs that joins any two nodes in the graph.

1. Finite Graphs: A graph is said to be limited if it has a finite number of vertices and a finite number of edges.

2. Infinite Graphs: A graph is said to be infinite if it has an unlimited number of vertices as well as an unlimited number of edges.

3. Trivial Graph: A graph is said to be trivial if a finite graph consists of only one vertex and no edge.

4. Regular Graph: A simple graph is called to be regular if all vertices of graph G are of equal degree.

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Answer: 84

Step-by-step explanation:

9^2+2*4-5

Let's solve according to PEMDAS and calculate the exponent first.

That leaves us with

81+2*4-5

Next, it's time to multiply.

81+8-5

From then on, we can just add and subtract to get the final answer:

84

Answer: W = 7, L = 14

Step-by-step explanation: L = 2W. 2L + 2W = 42. Plug in L and we get 4W + 2W = 42. 6W = 42. W = 7. L = 14

Answer:

77 cups

Step-by-step explanation:

88 ounces/ day = 11 cups/ day
A week = 7 days
=> 11 x 7 = 77 cups/week

Answer:

3, 5, 7, 9, 11

Step-by-step explanation:

the recursive formula allows a term to be found by adding 2 to the previous term, that is

u₁ = 3

u₂ = u₁ + 2 = 3 + 2 = 5

u₃ = u₂ + 2 = 5 + 2 = 7

u₄ = u₃ + 2 = 7 + 2 = 9

u₅ = u₄ + 2 = 9 + 2 = 11

the first 5 terms are 3, 5, 7, 9, 11

The angle is 45 degrees between the trajectories the ball takes before and after hitting the rail.

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.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.  To determine the value

To determine the value A statement is not an equation if it has no "equal to" sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Hence, The angle is 45 degrees between the trajectories the ball takes before and after hitting the rail.

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The compound inequality represents the range of the amounts of money a student can brings  $65 ≤ x ≤ $135

Start by setting up the inequality with the variable x, representing the amount of money a student can bring:

x

2. The inequality should be less than or equal to the maximum amount of money a student can bring, which is $135:

x ≤ 135

3. The inequality should also be greater than or equal to the minimum amount of money a student can bring, which is $65:

65 ≤ x

4. Combine the two inequalities to get the compound inequality:

65 ≤ x ≤ 135

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Answer:

C. Use a compass and draw an arc across both the legs of the given angle.

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

So we know that ∠PRM is 120° and that line m would be 180°, we would subtract 120 from 180 to get 60°.

So ∠PRQ is 60°.

All the angles of a triangle equals to 180°.

∠PQR is given as 30°. So we will need to add 60+30=90.

180-90=90. So ∠QPR is 90°.

After simplification, the value of expression is,

⇒ 15 + y - 9a + ax - 9u + ux

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ (15 + y) - (a + u) (3² - x)

Now, Simplify the expression as;

⇒ (15 + y) - (a + u) (3² - x)

⇒ (15 + y) - (a + u) (9 - x)

⇒ (15 + y) - (9a - ax + 9u - ux)

⇒ 15 + y - 9a + ax - 9u + ux

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Answer:

12 people

Step-by-step explanation:

Total people in the company = 120

No. of People who assemble yo- yo's = 120 × (60/100

                                                               = 72

Now, we need 70% of the total people to assemble yoyo = 120 × (70/100)

                                                                                                = 84

We already have 72 people assembling yoyo,

No. of more people needed =  84 - 72 = 12

Hence, if we have 12 more people from other departments, 70% of the total people would be assembling yo-yo's.

The first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long.

The ratio of the two pieces is 3 to 2. This means that the length of the first piece is 3/5 of the total length, and the length of the second piece is 2/5 of the total length.

If we let x be the length of the first piece, the length of the second piece is:

12 - x

Since the ratio of the two pieces is 3 to 2, we can set up the equation:

(3/5) * 12 = x

Solving for x:

x = 7.2

So, the first piece is 7.2 feet long, and the second piece is 12- 7.2 = 4.8 feet long

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Answer: 77m

Step-by-step explanation:

The equation for the perimeter of a rectangle is: p = 2(length) + 2(width). We are given both perimeter and the length, so we can plug in these values to solve for what is missing.

332m = 2(89) + 2(width)

332m = 178 + 2(width)

154 = 2(width)

width = 77

Just combine like terms and get the variable (width) by itself on one side of the equation to solve. Hope this helps!

Answer:

width = 77 m

Step-by-step explanation:

Perimeter = sum of all sides

As a rectangle has 2 lengths and 2 widths making a total of four sides;

P = 2 ( l + w)

332 = 2 ( 89 + w)

332/2 = 89 + w

166 = 89 + w

166 - 89 = w

77 = w

Therefore, the width of the pool is 77 m

The best description of the offspring of Protists is D. sometimes genetically different than both parents

Asexual reproduction in protists includes methods such as binary fission, budding and fragmentation, in these methods the offspring are always genetically identical to one parent.

Sexual reproduction in protists can be through conjugation, meiosis, or syngamy, in this case the offspring are not always genetically identical to one or both parents. It is possible for the offspring to be genetically different from both parents due to the genetic recombination that occurs during sexual reproduction.

So, the statement that best describes the offspring of protists is "sometimes genetically different than both parents" as it depends on the type of reproduction method used.

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The second graph does not represent the y as a function of x.

What is the function?

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

The x value of a point where a vertical line intersects a function represents the input for that output y value.

If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.

If we draw a line parallel to the y-axis it cuts the graph in more than one point.

So, that does not represent a function.

Here, we have given four graphs

Among this, the second graph intersects the x-axis two times,

Hence, the second graph does not represent y as a function of x.

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The value of x, considering the area of the rectangular regions, is given as follows:

x = 12.

The area of a rectangle is given by the multiplication of the two dimensions of the rectangle.

The area of the shaded region is obtained subtracting the area of the entire rectangle by the area of the inner white rectangle.

The area of the entire rectangle is given as follows:

(x + 8)(x + 5) = x² + 13x + 40.

The area of the white region is given as follows:

(x + 2)(x - 3) = x² - x - 6.

Hence the area of the shaded region is given as follows:

x² + 13x + 40 - (x² - x - 6)

x² + 13x + 40 - x² + x + 6

14x + 46.

As the area of the shaded region is of 214 units squared, the value of x is obtained as follows:

14x + 46 = 214

14x = 168

x = 168/14

x = 12.

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Answer:

hard

Step-by-step explanation:

ybfhf

The required converted number is 46.10 which is 46.1031 rounded to four significant figures.

Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.

To convert 46.1031 to four significant figures, we must first identify the four most significant digits. In this case, the four most significant digits are 46.10.

To express 46.1031 in four significant figures, we round it to 46.10.

Therefore, 46.1031 rounded to four significant figures is 46.10.

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The coordinate of the vertices (x,y) after a reflection over the x-axis is (x, -y). It is also known as a rule.

What are coordinates?

Coordinates are two numbers (Cartesian coordinates) or a letter and a number that point to a specific point on a grid known as a coordinate plane. A coordinate plane has four quadrants and two axes: x (horizontal) and y (vertical).

A reflection of a point, line, or figure in the x-axis entailed mirroring the image over the x-axis. In this case, the x-axis is referred to as the axis of reflection.

The rule for reflecting over the x-axis is to negate the value of each point's y-coordinate while keeping the x-value constant.

For instance, when point P with coordinates (7,3) is reflected across the x-axis and mapped onto point P', P"s coordinates are (7,-3). The x-coordinate for both points remained unchanged, but the y-coordinate changed from 3 to -3.

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The probability of each outcome is 1/12 or 0.083.

The probability of each outcome in the sample space can be calculated using the formula for permutations. The formula for permutations is nPk = n!/(n-k)!. In this case n is the number of gift cards (4) and k is the number of gift cards to be selected (2).  In this example, the sample space consists of 16 possible outcomes, and each outcome is equally likely. Thus, the probability of each outcome is 1/16. To calculate this, divide 1 by the total number of outcomes (16). This results in the probability of each outcome being 1/16.Therefore, nPk = 4P2 = 4!/2! = 12. Since each outcome is equally likely, the probability of each outcome is 1/12 or 0.083. This can be written as a fraction as 1/12 or as a decimal as 0.083.

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Yes 1.5 is the same as one and a half

Answer: Yes

Step-by-step explanation:

1/2 = a half 1/2 also = 0.5     1 + 0.5 = 1.5 or 1 and 1/2

Answer is 4 of these sets contain a 5 in sets of three different numbers whose sum is 15

These problems are really brute force, there is no real clever way. I only just listed all possible combinations

HOWEVER, notice in answer.

5 1 9

5 2 8

5 3 7

5 4 6

Since ALL the sets contain a 5, we just subtract 5 from 15.

So we need TWO terms in a set and they add up to 10, and also are unique.

This is quite easy.

1 9

2 8

3 7

4 6

5 5 (does not work because cannot repeat digit)

thus , answer is 4 of these sets contain a 5 in sets of three different numbers whose sum is 15

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Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.  

Let x = length of the portion that is bent into a circle

Then, 10-x = length bent into a square

Each side of the square has length (10-x)/4

So, area of square = (10-x)2/16

x = circumference of circle = 2πr   So, r = x/(2π)

Therefore, Area of circle = πr2 = x2/(4π)

T = total area = (10-x)2/16 + x2/(4π)

                    = [(10-x)2π + 4x2 ]/(16π)

                    = [(100-20x+x2)π + 4x2]/(16π)

                    = [(4+π)x2 -(20π)x+100π]/(16π)

                    = [(4+π)/(16π)]x2 - (5/4)x + (25/4)

The graph of T is a parabola opening upward.  The minimum of T occurs at the vertex of the parabola.  

The x coordinate of the parabola is (5/4)/[(4+π)/(8π)] = (10π)/(4+π) ≈ 4.4  

Thus, Bend 4.4 m of the wire into a circle and bend 5.6 m of the wire into a square in order to minimize the total area.  

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Answer:

--------------------------

Given:

Solve it in below steps:

Answer:

[tex] \sf \: v \geqslant 13.2[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of v.

The equation is,

→ 5 + 12.5v ≥ 170

Then the value of v will be,

→ 5 + 12.5v ≥ 170

→ 12.5v ≥ 170 - 5

→ 12.5v ≥ 165

→ v ≥ 165 ÷ 12.5

→ [ v ≥ 13.2 ]

Hence, the value of v is 13.2.

The total cost of the meal was $16.189.

What is the sales tax?

A sales tax is a consumption tax that is added to the price of goods and services. It is usually a percentage of the purchase price, and the percentage varies depending on the location and type of product or service.

We are trying to find the total cost of the meal including the sales tax. To do this, we need to calculate the amount of tax and add it to the cost of the meal.

The cost of the meal before tax is $15.20 and the sales tax rate is 6.5%. To find the amount of sales tax, we can multiply the cost of the meal by the sales tax rate as a decimal.

$15.20 x 0.065 = $0.989

The amount of sales tax is $0.989.

To find the total cost of the meal, we can add the amount of sales tax to the cost of the meal before tax.

$15.20 + $0.989 = $16.189

Hence, The total cost of the meal was $16.189.

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When n is known to be an integer, the formula for m also produces an integer. The assumption is confirmed once the necessary integer m was located.

Positive, negative, and zero are all examples of integers. As a result, integers include numbers like 0, 1, 2, 3, as well as -1, -2, and 3. There are no additional parts, such as fractions or decimals, in integers. As a result, fractional values like 3 1/2 and decimal numbers like -7.5 are NOT integers. All positive counting numbers, zero, and all negative counting numbers that count from negative infinity to positive infinity are included in the category of integers. The fundamental arithmetic operations are included in integer operations (addition, subtraction, multiplication and division). In mathematics, integers are any numbers that are either positive, negative, or zero, with the exception of fractions. As a result, operations on integers are simple.

given

Any whole number that is a multiple of 3 is a type 0 integer. Examples are 3, 6, 9, and 12.

n=1: 3(1)=3

n=2: 3(2)=6

n=3: 3(3)=9

n=4: 3(4)=12

When n is known to be an integer, the formula for m also produces an integer.

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[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{3f + 4f = 21}[/tex]

[tex]\textbf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{(3f + 4f) = 21}[/tex]

[tex]\mathsf{3f + 4f = 21}[/tex]

[tex]\mathsf{7f = 21}[/tex]

[tex]\textbf{DIVIDE 7 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{7f}{7} = \dfrac{21}{7}}[/tex]

[tex]\textbf{SIMPLIFY it!}[/tex]

[tex]\mathsf{f = \dfrac{21}{7}}[/tex]

[tex]\mathsf{f = 3}[/tex]

[tex]\huge\textbf{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{f = 3}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]