MATHEMATICS HIGH SCHOOL

Find the range for the measure of the third side of a triangle given the measures of two sides.

Answers

Answer 1

Answer:

Answer:

1.625 (1 5/8)

Side 1-4

Step-by-step explanation:

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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 17. What percentage of people has an in score between 83 and 117

Answers

To find the percentage of people with an IQ score between 83 and 117, we need to find the area under the bell-shaped curve between these two scores.

First, we need to standardize the scores by subtracting the mean from each score and dividing by the standard deviation.

For a score of 83:

Standardized score = (83 - 100) / 17 = -1

For a score of 117:Standardized score = (117 - 100) / 17 = 1

Now, we can find the area under the curve between these standardized scores using a standard normal distribution table or calculator.

Using a standard normal distribution table, we can find the area for a standardized score of -1 as 0.1587. This represents the percentage of people below a score of 83.

Similarly, the area for a standardized score of 1 is 0.8413, representing the percentage of people below a score of 117.

To find the area between these two scores, we subtract the area below 83 from the area below 117:

0.8413 - 0.1587 = 0.6826

So approximately 68.26% of people have an IQ score between 83 and 117.

working as a waiter, Michael earns $6.50 per hour plus tips. last night he received $36.50 in tips and earned a total of $65.75. how many hours did he work

Answers

Michael worked 4.5 hours. 65.75 - 36.50 = 29.25, therefore, Michael made $29.25 not including tips. 29.25/6.50 = 4.5

Solve the inequality 6x − 8 > 4x + 26.x < 9

x < 17

x > 9

x > 17

Answers

Answer:

The last option is the correct answer.

Step-by-step explanation:

The given inequality is :

$6x-8>4x+26$

Pairing the like terms together we have :

$6x-4x>26+8$

=> $2x>34$

Now we will divide both sides by 2;

=> $x>17$

Thus, the answer is $x>17$ .

The last option is the correct answer.

Hello,
Answer D (x>17)

6x-8>4x+26
==>6x-4x>26+8
==>2x>34
==>x>17

Answer this: Solve for X
IMAGE below!

Answers

Answer:

x =22.5

Step-by-step explanation:

x+3x = 90

x and 3x are complementary so they add to 90 degrees

Combine like terms

4x =90

Divide each side by 4

4x/4 = 90/4

x =22.5

answer: x = 22.5

explanation:

as the 3x and x are on a straight line with the angle of 90° we know that

3x +x = 90

4x = 90

x = 22.5

A 12-foot flagpole casts a nine-foot shadow. What is the measure from the top of the shadow to the top of the flag pole?

Answers

Here is the answer OwO:

A 12-foot flagpole casts a nine-foot shadow. The measure from the top of the shadow to the top of the flag pole is 15.

Here is the explanation/work OwO:

Switch sides.

c^2=12^2+9^2

12^2=144

c^2=144+9^2

9^2=81

c^2=144+81

Add the numbers: 144 + 81 = 225

c^2=225

For x^2 = f(a) the solution is √f(a)

c = 15

Therefore, your answer will be 15.

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Sorry if I am late. Hope this helps!! ^^

Answer:

The answer is 15 ^-^

Step-by-step explanation:

The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units

Answers

we know that

The volume of a solid right pyramid with a square base is equal to

$V=(1)/(3)*[ area\ of\ the\ base]*height$

area of the base is the area of a square

$area\ of\ the\ base=y^(2)\ units^(2)\nV=v\ units^(3)$

Substitute the values in the formula of volume

$v=(1)/(3)*[ y^(2)]*height$

solve for the height

$v=(1)/(3)*[ y^(2)]*height\n \nheight=(3v)/(y^(2))\ units$

therefore

the answer is

$height=(3v)/(y^(2))\ units$

3v/y² units

Further explanation

Given:

The volume of a solid right pyramid with a square base is v units³
The length of the base edge is y units.

Question:

Which an expression represents the height of the pyramid?

The Process:

We will solve the problem of a geometric solid.

Let us recall the formula of volume of a right pyramid:

$\boxed{ \ V = (1)/(3) * base \ area * height \ }$

Because the base is square, we use the formula for square area, i.e., side times side.

Let us find out the height of the pyramid.

$\boxed{ \ Height = (3v)/(y * y) \ }$

Thus, an expression represents the height of the pyramid is $\boxed{\boxed{ \ (3v)/(y^2) \ }}$ units

Learn more

What is the volume of each prism? brainly.com/question/414021
The volume of rectangular prism brainly.com/question/11613210
Express the volume of the box as a function of the length of the edge of the base. What is its domain? brainly.com/question/4925904

Keywords: the volume of a solid right pyramid, a square, the length of the base edge, an expression, represent, the height, the formula, a geometric solid, units

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