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3 years ago

For questions 5-9 list all the polygons shown that fit each description.If there could be no such polygon, explain why

Mathematics

1 answer:

nlexa [21]3 years ago

6 0

Answer:

5. B, C and E

6. C

7. None

8. A and D

9. F and G

Step-by-step explanation:

See attachment for complete question

5. B, C and E

B, C and E are not parallelogram because they do not have 2 pairs of parallel sides

B and E are trapeziums while C is just a quadrilateral.

6. C

In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.

7. None

A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.

8. A and D

A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.

9. F and G

These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.

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A fair die is rolled 10 times. Find the expected value of:a) the sum of the numbers in the ten rolls;b) the number of multiples

velikii [3]

Answer:

a) 3.5

b) 3.33

c) $6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

Step-by-step explanation:

As given,

A fair die is rolled 10 times

Expected value of Sum of the number in 10 rolls = $\frac{1}{6}(1+2+3+4+5+6) = \frac{21}{6}$

= 3.5

∴ we get

Expected value of Sum of the number in 10 rolls = 3.5

Ley Y : number of multiples of 3

Y be Binomial

Y - B(n = 10, p = $\frac{2}{6}$ )

Now,

Expected value = E(Y) = np = 10× $\frac{2}{6}$ = 3.33

Let m = total number of faces in a die

⇒m = 6

As die is roll 10 times

⇒n = 10

Now,

Let Y = number of different faces appears

Now,

Expected value, E(Y) = m - m $\left(\begin{array}{ccc}m-1\\m\end{array}\right)^{n}$

= $6 - 6\left(\begin{array}{ccc}6-1\\6\end{array}\right)^{10} = 6 - 6\left(\begin{array}{ccc}5\\6\end{array}\right)^{10}$

5 0

3 years ago

–34 = –2(g − 70) g = _____

olganol [36]

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▹ Answer

g = 87

▹ Step-by-Step Explanation

-34 = -2(g - 70)

Divide both sides

17 = g - 70

Rearrange the terms

-g + 17 = 70

Calculate

-g = -87

Change the signs

g = 87

Final Answer

g = 87

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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7 0

3 years ago

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If p varies inversely with q, and p = 2 when q = 1, find the equation that relates p and q.

NeTakaya

Answer:

p = $\frac{2}{q}$

Step-by-step explanation:

Given that p varies inversely with q then the equation relating them is

p = $\frac{k}{q}$ ← k is the constant of variation

To find k use the condition p = 2 when q = 1, thus

k = pq = 2 × 1 = 2

p = $\frac{2}{q}$ ← equation of variation

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4 years ago

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