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Svetlanka [38]
3 years ago
13

Laura has moved to a new apartment. Her schoolbooks comprising of different subjects are mixed in a bag during the move. Four bo

oks are of mathematics, three are English, and six are science. If Laura opens the bag and selects books at random, find the given probability. P(3 mathematics books)
Mathematics
1 answer:
mixer [17]3 years ago
3 0
4/13, will be mathematics, 6/13 will be science and 3/13 will be english
You might be interested in
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet.
enyata [817]

Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.

Step-by-step explanation:

The dimensions of the box are:

L = length

W = width

H = heigth.

We know that:

L = 4*W

And the girth of a box is equal to: G = 2*W + 2*H

then we have:

2*W + 2*H + H = 200ft

2W + 3*H = 200ft

Then we have two equations:

L = 4*W

2W + 3*H = 200ft

We want to find the volume of the box, which is V = W*L*H

and we want in on terms of W.

Then, first we can replace L by 4*W (for the first equation)

and:

2*W + 3*H = 200ft

3*H = 200ft - 2*W

H = (200ft - 2*W)/3.

then the volume is:

V(W) = W*(4*W)*(200ft - 2*W)/3

V(W) = (1/3)*(*W^2*800ft - 8W^3)

The domain of this is the set of W such that the volume is positive, then we must have that:

W^2*800ft > 8W^3

To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)

W^2*800ft = 8W^3

800ft = 8*W

100ft = W.

This means that if W is equal or larger than 100ft, the equation gives a negative volume.

Then the domain is 0 < W < 100ft.

6 0
3 years ago
HELP ME PLEASEEEEE i need this now
OleMash [197]

Answer:

195 yd^2

Step-by-step explanation:

Formula: A = \frac{pq}{2}

p = 7.5 + 7.5 = 15

q = 13 + 13 = 26

A = \frac{26*15}{2}

A = 195

5 0
3 years ago
Read 2 more answers
Is the square root of 1.69 rational or irrational?
Andrei [34K]
Its rational  
Square root of 1.69 is 1.3  which is rational ( 1.3  = 13/10)
5 0
3 years ago
Can someone please help me with this please
andrew11 [14]
A 40 x 110 rectangle has an area of 4400 sq. ft.

The horse has a 14 ft lead. That makes 14 ft. the radius that the horse can cover.

The formula for the area of a circle is r^2 * PI ( radius squared * 3.14 ).

So the horse can't get to 4400 - ( 14 * 14 * 3.14 ) sq. ft.
8 0
3 years ago
Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores a
IRINA_888 [86]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:

Country Average monthly salary   Standard deviation  Original currency

the Czech Republic   $1,059            $158.80             koruna

Latvia                           $790      $118.60                    lat

Korea                       $2,245            $673.60                  won

Romania                          $646          $96.80            leu

the United States          $4,141         $1,242.20        dollar

Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____.

a) highest z score

b) lowest z score

c) z score closest to zero

Answer:

a) highest z score

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

Step-by-step explanation:

Let us calculate z-score corresponding to each country.

The z-score is given by

$ z = \frac{x-\mu}{\sigma } } $

Czech Republic:

μ = $1,059

σ =  $158.80

z = \frac{1500-1059}{158.80 } } \\\\z = 2.77

Latvia:

μ = $790

σ =  $118.60

z = \frac{1500-790}{118.60 } } \\\\z = 5.98

Korea:

μ = $2,245

σ =  $673.60

z = \frac{1500-2245}{673.60 } } \\\\z = -1.10

Romania:

μ = $646

σ =  $96.80

z = \frac{1500-646}{96.80 } } \\\\z = 8.82

United States:

μ = $4,141

σ =  $1,242.20

z = \frac{1500-4141}{1242.20 } } \\\\z = -2.12

Country                                  z-score

Czech Republic                   2.77

Latvia                                  5.98

Korea                                  -1.10

Romania                                  8.82

The United States                   -2.12

Therefore, using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from Romania will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the  highest z score .

6 0
3 years ago
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