Type an equation for the following pattern.

Using the Empirical Rule, it is found that:

a) 68% of the people have an IQ score between 81 and 119.

b) 0.3% of people has an IQ score less than 43 or greater than 157.

c) 16% of people has an IQ score greater than 119.

It states that, for a normally distributed random variable:

In item a, 81 and 119 are the bounds within 1 standard deviation of the mean, hence 68% of the people have an IQ score between 81 and 119.

In item b, 43 and 157 are the bounds within 3 standard deviations of the mean, hence 0.3% of the distribution is outside this range, that is, 0.3% of people has an IQ score less than 43 or greater than 157.

In item c, considering the symmetry of the normal distribution, the upper 16% has IQ score greater than 119, hence 16% of people has an IQ score greater than 119.

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The military drone must ascend 12250 from its position of 3500ft above sea level feet so that it is vertically in the middle of the plane and the submarine.

To solve this problem we need to understand the concept of sea-level. The sea-level is defined as the average height of all water bodies of the earth. Below sea level is effectively taken as negative length and above sea -level is taken as positive length.

Let us consider the drone will have to ascend x feet to be vertically in between the plane and the submarine.

The submarine is 3500 feet below the sea level.

The plane is 35000 feet above the sea level.

Now we know that the drone is at a height of 3500 feet above the sea level.

Total distance between the drone and the ship=35000-(-3500)=38500ft

Middle point of the two=38500/2 = 19250 feet from the plane

Height above sea level for the drone should be=35000-19250=15750 ft

height of the drone=3500ft

The drone should ascend=15750-3500=12250 feet

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Answer:

X = 36.5

Z = 19

Angle RIG is 69

angle ZIM is 126.5

Step-by-step explanation:

angle AIZ and ZIP

x + 3x - 56 = 90

    4x - 56 = 90

            4x = 90 + 56

            4x/4 = 146/4

                x  = 36.5

Plugin the value of x in (3x -56)

      3x - 56

     (3(36.5) - 56)

     (109.5 - 56) =  53.5

       Angle AIZ = 53.5

Angle RIG is 4z + 7. Convert the letter x in (x + 2)  to Z and solve for z

4z + 7 + z + 2 = 90

         5z + 9 = 90

                5z = 90 - 9

                5z/5 = 81/5

                   z = 16.2

                        Z + 2

                      16.2 + 2 = 18.2

           Angle GIM is 18.2 degrees

  Plugin the the value of z into 4z + 7 for angle RIG

   4z + 7

   (4(16.2) + 7) = 71.8

 Angle RIG = 71.8 degrees

A) In one hour  Graham drove 33 3/4 miles

B) To drive one mile Grahman will take 4/127 hours

a) change into improper fractions

42 1/3 = 127/3

1 1/3 = 4/3

he takes 4/3 hours to drive 127/3 miles

in one hour he will drive 127/3 × 3/4 = 127/4 = 33 3/4 miles

So in 1 hour he will drive 33 3/4 miles

b) he covers 127/3 miles in 4/3 hours

to cover 1 mile he will take = 4/3 × 3/127 = 4/127 hours

Graham will take 4/127 hours to cover 1 mile.

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Answer: 12

Step-by-step explanation: f(-4)= 2-3(-4) which =2+12=14

The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

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The area of ΔTUV, to the nearest square inch is given as 267 square inch

Given data

ΔTUV, = 24 inches, = 29 inches and ∠T=130°

let the Area of the triangle = A

let the two sides be a and b

let the given angle be β

A = a * b * sin β / 2

A = 24 * 29 * sin 130 / 2

A = 696 * 0.7660 / 2

A = 696 * 0.3830 = 266.583

A = 266.583 square inch

A = 267 square inch ( to the nearest square inch )

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The expression 1-cotx/tanx-1 is cot x.

Given,

1-cotx/tanx-1

cot x = 1/tan x

1-cotx/tanx-1 = 1- (1/tan x) / tan x-1

                     = [(tan x -1 )/tan x ]/ [tan x -1]

                     = (tan x -1 )/ [tan x (tan x -1)]

                     =  1/tan x

                     = cot x

Expressions in mathematics are mathematical assertions that comprise at least two phrases that contain numbers, variables, or both, and are connected by an operator in between. Addition, subtraction, multiplication, and division are examples of mathematical operators. For example, x + y is an expression in which x and y are terms separated by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which contain simply numbers, and algebraic expressions, which contain both numbers and variables.

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Answer: The amount less will be with held weekly for federal income tax is $40.65.

Step-by-step explanation:

Given data,

Nico Joven presently earns $348.40 per week.

The amount of money deducted from federal income tax is:

                          = $348.40/2

                          = $174.20

He claims himself and his mother as allowances.

He is single. He is to get a new job classification, which will result in a 15% increase in pay.

The increase in pay will be:

                           = 15% × $348.40

                           = $52.26

After his marriage, he will claim his wife, himself, and his mother as allowances.

The new salary will be the addition which is $400.66.

The new money with held will be:

                            = $400.66/3

                            = $133.55

The amount less withheld will be:

                      = $174.20 - $133.55

                      = $40.65

Therefore,

The amount  less will be with held weekly for federal income tax is $40.65.

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The order of expressions from the least to greatest is [tex]\sqrt{3}[/tex], [tex]\sqrt{pie}[/tex] and 2

In order to find the value of these given expressions, we will have to convert them into a standard form, therefore we will find the value of these expressions by removing the root and finding its actual value

Value of 2 will remain the same as it is already in standard form

Value of [tex]\sqrt{3}[/tex] in standard form = 1.732

Value of [tex]\sqrt{pie}[/tex] in standard form = [tex]\sqrt{3.1459}[/tex] = 1.77

No ordering these expressions we find that 2 is the greatest, followed by 1.77 and 1.732

Hence, the expressions from least to greatest is [tex]\sqrt{3}[/tex], [tex]\sqrt{pie}[/tex] and 2

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Answer:

17.04 x 6.2= 105.648

Hope this helps :)

By solving a system of equations we conclude that they need to use 22 ounces of the 10% alloy and 33 ounces of the 20% alloy.

First, let's define the variables we will use to solve this problem:

We know that they want to get 55 ounces, then:

x + y = 55

And the concentration of these 55 ounces must be 16%, then we can write other equation:

0.1*x + 0.2*y = 0.16*55

Then we have a system of equations:

x + y = 55

0.1*x + 0.2*y = 0.16*55

Isolating x on the first equation we get:

x = 55 - y

Now we can replace that in the other equation so we get:

0.1*(55 - y) + 0.2*y = 0.16*55 = 8.8

Now we can solve this for y.

5.5 - 0.1*y + 0.2*y = 8.8

5.5 + 0.1*y = 8.8

y = (8.8 - 5.5)/0.1 = 33

Then the value of x is:

x = 55 - y = 55 - 33 = 22

We conclude that they need to use 22 ounces of the 10% alloy and 33 ounces of the 20% alloy.

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Answer:

83

Step-by-step explanation:

[tex] \frac{ - 332}{ - 4} = 83[/tex]

The side of one side of the square is determined as: 8.5 meters.

A square is a quadrilateral shape that has four sides that have the same length and four interior angles that are right angles (90 degrees).

The perimeter of a square is the sum of all the sides of a square which can be calculated using the following formula given as,:

Perimeter = 4(s), where s represents the length of one side of the square.

We are given that:

Perimeter of the square = 34 meters

Therefore:

34 = 4(s)

Divide both sides by 4

34/4 = 4(s)/4

8.5 = s

s = 8.5 m

Thus, the side of one side of the square is determined as: 8.5 meters.

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The expanded frequency distribution is attached

This will have additional columns which include

The midpoint

The mid point is gotten by adding the lower class limit and the lower class limit and dividing by two

for instance: 10 + 20 / 2 = 10

The relative frequency

In this column they are in percent and the alue is gotten by first summing up all the frequency then finding the percent of each.

for instance: the total sum of the frequency is 365 so

( 17 / 365 ) *  ( 100 / 1 ) = 4.66%

The cumulative frequency

The cumulative frequency is solved by sequential addition of the frequency

for instance:

17 next is

17 + 44 = 61

61 + 68 = 129

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The information translated to algebraic expression  is 12 - x

Algebraic expressions are simply known as expressions composed of variables, terms, factors, constants and coefficients.

They are also made up of arithmetic operations such as multiplication, division, addition, subtraction, bracket, etc

From the information given, we have;

Let 'x' be the number

Let 'x' be subtracted from 132

This can be expressed as;

12 - x

Thus, the information translated to algebraic expression  is 12 - x

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Answer:

Step-by-step explanation: This vould be the answer because it could have been turned into an epression

Answer:

I tried to solve I got the value of a drink but a popcorn's value comes in negative... Can you recheck it please.......

Answer:

x = 3.

Step-by-step explanation:

ADE and ABC are similar right isoceles triangles.

Step-by-step explanation:

12 / 3 = 12 / X

Answer: [tex]\frac{7}{32}[/tex]

Step-by-step explanation:

You want your numbers to have a common denominator which you can get by doubling both sides of the second number ([tex]\frac{1}{16} = \frac{2}{32}[/tex]).

[tex]\frac{9}{32} - \frac{2}{32} \\= \frac{7}{32}[/tex]

The expression using factoring is 4 * (33 + 57)

The expression is given as

(132 + 228)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * (66 + !14)

Factor out 2 from the expression

So, we have

(132 + 228) = 2 * 2 * (33 + 57)

This gives

(132 + 228) = 4 * (33 + 57)

Hence, the expression using factoring is 4 * (33 + 57)

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Answer:

36.6

Step-by-step explanation:

[tex] \eta \times \eta \times \eta = 60 \\ \eta {}^{3} = 60 \\ \eta = \sqrt[3]{60} \approx3.91487[/tex]

Answer:

79 boxes

Step-by-step explanation:

1500-155= 1345

1345/17=79.11

Answer: -6

Step-by-step explanation:

8t+30-2t-16=-22

8t-2t+30-16=-22

6t+30-16=-22

6t+14=-22

6t=-22-14

6t=-36

t=-6

The decimal form of the fraction 10 / 66 is 0.15.

Fractions represent the parts of a whole or collection of objects.  

In other words fractions are represented as a numerical value, which defines a part of a whole.

Fractions has a numerator and a denominator.

The numerator is at the top while the denominator is below.

A decimal is a number that consists of a whole and a fractional part.

Therefore, let's convert the fractions 10 / 66 to decimal.

Hence,

10 / 66 ÷ 2 / 2 = 5 / 33

Therefore,

5 / 33 = 0.15151515151 = 0.15

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4.3659392

hope this helps

Answer:

x = 7

Step-by-step explanation:

The dashes on each side of the rectangle indicate congruency.

This means that PS = QR, or 2x - 3 = 11.

Now we would solve for this like normal.

2x - 3 = 11 add 3 to each side

+ 3 + 3

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

2x = 14 now divide by 2 to find x

÷ 2 ÷2

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

x = 7

70%

Given: 50 total, 20 red, 15 blue

20 + 15 = 35

35 ÷ 50 = .7

.7 • 100 = 70

70% are blue or red.

the distance, d from the top of the platform to the  beach ball is equal to 10.29 m.

We are given that:

Height of the platform = 5 m

distance between bas of the platform and the beach = 9 m

We need to find the distance from the top of the platform to the beach ball.

We know that this distance d will be the hypotenuse of the triangle formed.

So, we have:

Perpendicular = 5 m

Base = 9 m

Hypotenuse = d

So, by using the Pythagoras theorem, we get that:

d² = 5² + 9²

d² = 25 + 81

d² = 106

d = √ 106

d = 10.29 m.

Therefore, we get that, the distance, d from the top of the platform to the  beach ball is equal to 10.29 m.

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