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2 years ago

The mean of the 6 items below is 6. 2 x 2 7 4 12 Find the value of x.

Mathematics

1 answer:

Aleks [24]2 years ago

6 0

Answer:

Step-by-step explanation:

Mean = sum of number / total number

6 = (2 + x + 2 + 7 + 4 + 12) / 6

Multiply both sides by 6

36 = 27 + x

Solve for x

x = 36 - 27 = 9

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A disease has a constant force of mortality, µ. Historically 10% of all people with the disease die within 20 years. A more viru

kolbaska11 [484]

Answer:

Step-by-step explanation:

For the disease having force of mortality µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = $1-e^{-\mu}$ = .1

$e^{-\mu}$ = .9

For the disease having force of mortality 2µ.

we apply exponential distribution law

probability of dying within 20 years

p( x <20) = 1 - $e^{-2\mu}$

= 1 - ( .9)²

= 1 - .81

= .19

or 19%

5 0

2 years ago

Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated?

Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3. The length of the vertical segment of the triangle graphed is 2. Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3. This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1). This makes the horizontal segment 5 units long and the vertical segment 4 units long. This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 3. This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1). This makes the length of the horizontal segment 6 and the length of the vertical segment 4. This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0

2 years ago

Passes through (-2,2), Parallel to a line whose slope is -1.

Lyrx [107]

Answer:

Step-by-step explanation:

4 0

2 years ago

Find the area and the circumference of a circle with radius 7 cm.

aniked [119]

Answer:

C=14pi cm

A=49pi cm^2

Step-by-step explanation:

1) Circumference of a circle is 2piR and R=7cm

C=2pi(7)

C=14pi cm

2) Area of a circle is piR^2 and R=7cm

A=pi (7)^2

A=49pi cm^2

3 0

2 years ago

Sketch a quadratic function with the given characteristics.

xeze [42]

Answer:

See photo below

Add arrows to the two ends of the parabola.

Step-by-step explanation:

To sketch this quadratic function, we to connect three dots: the two roots and a vertex.

The given roots are -1 and 1.

Draw two dots at the x-intercepts, which are (-1, 0) and (1, 0).

Vertex dot: V (x, y)

The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.

V (0, y)

Since the function increases when x < 0, the parabola will open up.

We read from left to right. The greater numbers are towards the top of the page.

You can put the vertex anywhere on the y-axis that is below the x-axis.

7 0

2 years ago