All categories

1 year ago

Find the range of the data set 145, 612, 120, 349, 515, 212, 590.

Mathematics

2 answers:

Kamila [148]1 year ago

7 0

Answer:

612 - 120=492

Step-by-step explanation:

to find the range the formula is to list the data set from smallest to largest, then subtract the smallest from the largest. 120, 145, 212, 349, 515, 590, 612= 612 - 120= 492

storchak [24]1 year ago

6 0

Answer:

The biggest - the smallest

612-120=492

You might be interested in

How do you find the value for x in the problem?

Nata [24]

Make use of the fact that side lengths in similar triangles are proportional.
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x

6 0

3 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are perfect cube numbers (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the sum and difference of cubes factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a sum of cubes.

Sum of cubes

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

8 0

2 years ago

What is 593,204 rounded to the nearest hundred thousand

Alina [70]

Answer:

the answer is 600,000

Step-by-step explanation:

the 9 in the ten thousandth place gets rounded hire to 600,000

5 0

2 years ago

How many feet are shorter than 20 centimeters

Veseljchak [2.6K]

1 foot is shorter that 20 centimeters

8 0

3 years ago

Determine the value of x

KATRIN_1 [288]

Answer:

The value of x is 12 feet

Step-by-step explanation:

The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.

To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.

Area of rectangle = length X breadth

Area of triangle = 1/2 base X height.

However, to calculate the area of the triangle, we need to find its height first.

The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.

Height of triangle = 16 ft - 10 ft = 6 ft

recall area = 156 square feet.

We now have most of our missing dimensions

We can now set up an equation as follows:

$(10 \times x) +0.5 \times x \times 6 = 156$

$10x +3x=156\\13x=156\\x=12 feet$

Therefore the value of x is 12 feet

8 0

3 years ago