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liubo4ka [24]
3 years ago
15

Which name accurately describes the figure shown below and why?

Mathematics
1 answer:
Gala2k [10]3 years ago
6 0

Option C:

The name of the figure is rhombus, because it has four sides of equal length and opposite sides that are parallel.

Solution:

In the given figure, all sides are equal and they are parallel to opposite side.

To find which name is suitable for the figure.

<u>Trapezoid:</u>

  • Trapezoid have two non-parallel sides and two parallel sides.
  • Four sides of trapezoid are not equal in length.

Therefore option A and option B are not true.

<u>Rhombus:</u>

  • Rhombus have four equal sides and opposite sides are parallel.
  • But all angles are not right angles.

Therefore Option D is not true.

Option C is the correct answer.

The name of the figure is rhombus, because it has four sides of equal length and opposite sides that are parallel.

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Answer:

250 berries

Step-by-step explanation:

There are 10 berries to every orange there is. It is given that there are 25 oranges. Simply multiply 10 with 25:

10 x 25 = 250

There are 250 berries.

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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7 0
3 years ago
An article presents voltage measurements for a sample of 66 industrial networks in Estonia. Assume the rated voltage for these n
kramer

Answer:

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 232 V

Sample mean, \bar{x} = 231.5 V

Sample size, n = 66

Sample standard deviation, s = 2.19 V

Alpha, α = 0.05

First, we design the null and the alternate hypothesis

H_{0}: \mu = 232\\H_A: \mu \neq 232

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{231.5- 232}{\frac{2.19}{\sqrt{66}} } = -1.8548

Now,

t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = \pm 1.9971

Since,              

|t_{stat}| > |t_{critical}|

We accept the null hypothesis and conclude that voltage for these networks is 232 V.

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