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Karolina [17]
3 years ago
14

Assume that when adults with smartphones are randomly​ selected, ​57% use them in meetings or classes. If 8 adult smartphone use

rs are randomly​ selected, find the probability that exactly 4 of them use their smartphones in meetings or classes. The probability is
Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

≈ 0.2526

Step-by-step explanation:

<u>The number of combinations of 4 out of 8:</u>

  • 8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

<u>Success factor is: </u>

  • 57% = 0.57

<u>and failure factor is: </u>

  • (100 - 57)%= 43%= 0.43

<u>Probability:</u>

  • 0.57⁴*0.43⁴*70 ≈ 0.2526
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Find the x- and y-intercept of the line x+4y=36
blagie [28]

Answer:

x=36

y=9

Step-by-step explanation:

Plug in 0 for x to find the y-intercept

0 + 4y = 36

4y = 36

y = 9

y-intercept (0, 9)

Plug in 0 for y to find the x-intercept

x + 4(0) = 36

x = 36

x-intercept (36, 0)

4 0
3 years ago
Ramon uses models to compare two decimial he says 0.09 greater than 0.1 because 9&gt;1 which of these explain ramon's mistake
Shalnov [3]

Answer:

Ramon's mistake was that he used whole numbers in comparison to decimals, which is not an accurate way to solve. Think about it this way, 0.1 is the tens place, 0.01 is the hundreds place. Which would be greater 100% of the time? The hundreds place, in decimal terms, the hundredths.

0.09 is greater than 0.1

5 0
2 years ago
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

  • (0,0)
  • (0,50)
  • (42,36)
  • (60,0)

The profits with the vertices are:

  • P(0,0) = 0
  • P(0,50) = 25(0) + 90(50) = 4,500
  • P(42,36) = 25(42) + 90(36) = 4,290
  • P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
3 years ago
For each handmade card Jacquie sells, she makes a profit of $0.35. In one week she made a profit of $42. she sells the cards for
NARA [144]
Ella hizo 120 tarjetas al venderlas hizo $90 y menos lel beneficio son $48
5 0
4 years ago
The Cost of 625 bolts is $100.What is the coast of 10 bolts?
lys-0071 [83]
$1.60.
You do 100 divided by 625 to get 16 cents. You then multiply .16 times 10 to get $1.60
6 0
3 years ago
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