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4 years ago

The rectangle below has an area of 8x^5+12x^3+20x^2.

Mathematics

2 answers:

Y_Kistochka [10]4 years ago

5 0

Answer:

The width of the rectangle is 4x^24x

4, x, squared

The length of the rectangle is 2x^3+3x+52x

+3x+5

Step-by-step explanation:

iogann1982 [59]4 years ago

5 0

Answer:

The width is: $4x^{2}$

The length is: $2x^{3} +3x+5$

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3 years ago

From the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8

Elena L [17]

Answer:

619.13 feet

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between doghouse to the foot of the tower.

We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.

First of all, we will convert our given angle into degrees as it is given in degrees and minutes.

We will divide 8 by 60 to convert 8 minutes into degrees as:

$\frac{8}{60}=0.13333$

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

$\text{tan}(28.13^{\circ})=\frac{331}{x}$

$x=\frac{331}{\text{tan}(28.13^{\circ})}$

$x=\frac{331}{0.534623339864}$

$x=619.12747783$

Upon rounding to nearest hundredth, we will get:

$x\approx 619.13$

Therefore, the doghouse is 619.13 feet far from the foot of the tower.

6 0

3 years ago

The average number of employees that call in sick for the day over the course of a year is 25.

sveta [45]

Answer:

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

<h3>Simplify the numerator. </h3>

x¯ = <u>261.27</u>

<h3>Divide 261.27 by 11 </h3>

x¯= 23.75 18

<h3>Divide. </h3>

x¯= 23.75 18

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s= n^∑ i=1 √(<u>xi−xavg</u>)²

N-1

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

11−1

<h3>Simplify the result. </h3>

s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

7 0

4 years ago

Read 2 more answers

A whole number is multiplied by six. What must the answer be?

Delvig [45]

Answer:

C is the correct one

Step-by-step explanation:

I’ve done it before

7 0

3 years ago

Read 2 more answers

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you exp

julia-pushkina [17]

Answer:

0.17619

Step-by-step explanation:

We solve using z score formula

= z = (x-μ)/σ,

where x is the raw score = 5 accidents

μ is the population mean = 6.4 accidents

σ is the population standard deviation = 1.5

z = 5 - 6.4/1.5

= -1.4/1.5

= -0.93333

Approximately to 2 decimal places = -0.93

Determining the probability value from Z-Table:

P(x< 5) = P(z = -0.93) = 0.17619

Converting this to percentage =

The probability of weeks you would expect to have less than 5 accidents is

0.17619

We are asked in the question:

What proportion of weeks would you expect to have less than 5 accidents?

Proportion is also the same as:

Therefore, the proportion of weeks that you expect to have less than 5 accidents = 0.17619

3 0

4 years ago