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masya89 [10]
3 years ago
10

Help me please, an explanation would be nice as well

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Answer:

Option (A). 44.1

Step-by-step explanation:

In the figure attached,

Triangle XYZ is am obtuse triangle having,

m∠XZY = 133°

m(YZ) = 21 units

m(XZ) = 27 units

By Cosine rule,

(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ

Where θ is the angle opposite to side XY.

(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°

        = 1943.38614

XY = √1943.38614

XY = 44.084

     ≈ 44.1 units

Therefore, length of side XY = 44.1 units

Option (A) will be the answer.

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Answer: We will not accept the null hypothesis.

Step-by-step explanation:

Since we have given that

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At 0.01 level of significance, z = - 2.58

Hypothesis are:

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So, test statistic value would be:

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.48-0.50}{\sqrt{\dfrac{0.5\times 0.5}{1068}}}\\\\z=\dfrac{-0.02}{0.0152}\\\\z=-1.315

So, test statistic > critical value.

Hence, we will not accept the null hypothesis.

7 0
4 years ago
Hector needs to find the product of 23 and 97. Which shows a way to Hector could find the product?
zaharov [31]

23 x 97

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 7         140           21      = <u>    161  </u>

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3 0
3 years ago
Help #2-8 please thank you !
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3 years ago
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Step-by-step explanation:

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3 years ago
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Paul [167]

Answer:

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