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IgorLugansk [536]
3 years ago
7

Four sisters take turns using the computer an equal amount of time each night. They are allowed to use the computer from 4 p.m.

to 10 p.m. Each sister can use the computer for at most minutes each night. In terms of the greatest number of hours and the minutes remaining, each sister can use the computer for at most hour(s) and minute(s) each night. Please hurry!!!!
Mathematics
2 answers:
Fed [463]3 years ago
7 0

Answer:

1.5 hours

Step-by-step explanation:

there are 6 hours in between the times of 4 and 10

so 4 sister split up 6 hours equally

to do this, we divide 6 and 4

6/4 = 1.5 hours

each sister can spend 1.5 hours on the computer

andrey2020 [161]3 years ago
4 0

Answer:

1 hour and 30 minutes

Step-by-step explanation:

If four sisters get 1 hour each, 2 hours are left.

4 half hours make 2 hours.

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Nata [24]

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

8 0
3 years ago
On
olya-2409 [2.1K]

Answer:

28.75 or 28 3/4

Step-by-step explanation:

This equation is made for Long Division:

115/4

4 cannot go into 1 evenly.

4 can go into 11, 2 times.

4x2=8

11-8=3

4 can go into 35, 8 times.

35-32=3

Add a zero at the end, then divide 4 into 30.

4 goes into 30, 7 times.

30-28=2

Add another zero, then divide again.

4 goes into 20, 5 times.

20-20=0

So, after you hit an even number you can stop dividing and put in your answer.

28.75

6 0
3 years ago
A manufacturer of t-shirts marks a shirt as "irregular" when it has defects such as crooked seams, stains, rips, or holes. A sma
MaRussiya [10]

Answer:

The test statistic value is 1.474.

Step-by-step explanation:

In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.

If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..

The hypothesis for this test can be defined as follows:

<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.

<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.

The information provided is:

<em>n</em> = 100

<em>X</em> = number of irregular t-shirts = 12

Compute the sample proportion as follows:

\hat p=\frac{X}{n}=\frac{12}{100}=0.12

Compute the test statistic as follows:

t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}

  =\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474

Thus, the test statistic value is 1.474.

4 0
3 years ago
Should be easy points!
Andru [333]

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

4 0
3 years ago
A small circle is 8 points, a larger circle is 4 points, and the largest circle is 2 points.
Luda [366]

Answer:

depends on how hard from where you throw it what type of dart is it is it a metal or plastic tipped dart is it a solid metal dart is the body of the dart  and the tip and the tail metal it depends so theres a ton of factors in the answer theres not just one answer

Step-by-step explanation:

7 0
2 years ago
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