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4 years ago

7. The area of a square piece of cardboard is 70 cm2. What is the

Mathematics

2 answers:

astra-53 [7]4 years ago

7 0

Answer:

8.3 cm

Step-by-step explanation:

<h2>so area of a square= side×side</h2><h2>since all sides are equal in a square</h2><h2>so= s×s=70cm²</h2><h2>√s²=√70</h2><h2>s=8.3 cm</h2>

skelet666 [1.2K]4 years ago

5 0

All together the approximate length would be s=8.3 cm

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Volume of composite figures

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<u>✍️</u><u>Answer:</u>

The volume of the figure is 381 cubic in

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3 years ago

The magnitude of an earthquake is calculated using the Richter Scale, M=log I/io , where I0 is the threshold intensity and the i

marysya [2.9K]

Answer:

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3 years ago

Which is the correct classification of 3/8

son4ous [18]

The correct classification is 3/8 in a proper fraction

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3 years ago

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The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

4 years ago

What is the length of a diagonal of a cube with a side

larisa86 [58]

Answer:

62+62=2

122=2

Step-by-step explanation:

The left side

122

does not equal to the right side

, which means that the given statement is false.

False

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4 years ago

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