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lawyer [7]
2 years ago
5

Simplify the following expression by combining like terms.

Mathematics
1 answer:
Nikitich [7]2 years ago
4 0

Answer:

5d² - 3d

Step-by-step explanation:

Given

4d² + d² - 2d - d ← collect like terms

= (4 + 1)d² + (- 2 - 1)d

= 5d² + (- 3)d

= 5d² - 3d

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Answer:

C. 2

Step-by-step explanation:

Cohen's d is a parameter used to express the standardised difference between two means. It is defined as the difference between the means divided by the pooled standard deviation.

In this case, the difference between both means (M2-M1) is 8. As for the pooled standard deviation, simply take the square root of the given pooled variance:

S=\sqrt{S^2}\\S=\sqrt{16} \\S= 4

Therefore, the value of Cohen's d (d) is:

d=\frac{M_{2} -M_{1}}{S} \\d=\frac{8}{4}\\d=2

7 0
3 years ago
A ship sails from harbour h on a bearing of 084 for 340 km until it reaches point P. It the sails on a bearing of 210 for 160km
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Answer:

QH = 227.8 km ≅ 228 km

Step-by-step explanation:

∵ The bearing from H to P is 084°

∵ The bearing from P to Q is 210°

∵ The distance from H to P = 340 km

∵ The distance from P to Q = 160 km

∴ The angle between 340 and 160 = 360 - 210 - (180 - 84) = 54°

( 180 - 84) ⇒ interior supplementary

By using cos Rule:

(QH)² = (PH)² + (PQ)² - 2(PH)(PQ)cos∠HPQ

(QH)² = 340² + 160² - 2(340)(160)cos(54) = 51904.965

∴ QH = 227.8 km ≅ 228 km

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3 years ago
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Aleksandr-060686 [28]

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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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There’s probably an easier way to do it like with the equation to find the area of a trapezoid but i did it this way bc it’s easier for me

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then found the area of the triangle (base X height divided by 2)

THE ANSWER IS 68.9 CM

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3 years ago
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