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3 years ago

Round to nearest ten thousand 409,381,886

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

6 0

409,380,000
Hope it helps

Ivanshal [37]3 years ago

4 0

409,380,000
is the correct answer

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2 years ago

True or False: Point estimation is a form of statistical inference in which, based on the sample data, we estimate the unknown p

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Answer:

True

Step-by-step explanation:

Point estimation of a population parameter provides an estimate of a single value calculated from the sample that is likely to be close to its value to the unknown parameter. Itis to be noted that a point estimate will not in general be equal to the population parameter as the random sample used is one of the many possible samples which could be chosen from the population.

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3 years ago

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3 years ago

A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions

salantis [7]

Dimensions are length 20 meter and width 14 meter

Solution:

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

A rectangle has width that is 6 meters less than the length

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

The area of the rectangle is given by formula:

$Area = length \times width$

Substituting the values we get,

$Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0$

Solve the above equation by quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}$

$a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14$

Since, length cannot be negative, ignore a = -14

Thus solution of length is a = 20

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

6 0

3 years ago

Inventory Heung-Soo is responsible for checking a shipment of technology equipment that contains laser printers that cost $700 e

Alla [95]

Answer:

P + M = 30

700P + 200M = 15000

Number of laser printers = 18

Number of color monitors = 12

Step-by-step explanation:

Let P = number of laser printers

Let M = number of color monitors

Given total number of boxes = 30

⇒ P + M = 30

Given:

$700 = cost of laser printer
$200 = cost of color monitor
$15000 = total cost of order

⇒ 700P + 200M = 15000

Rewrite P + M = 30 to make P the subject:

⇒ P = 30 - M

Substitute into 700P + 200M = 15000 and solve for M:

⇒ 700(30 - M) + 200M = 15000

⇒ 21000 - 700M + 200M = 15000

⇒ 500M = 6000

⇒ M = 12

Substitute found value for M into P = 30 - M and solve for P:

⇒ P = 30 - 12 = 18

5 0

2 years ago