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Helga [31]
3 years ago
11

Anyone know how to check solution, please help if u do

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
Let's check your answer. To do this, you would simply plug your answer into the equation and see if it works. 
5(y - 3) - 2 (3 - 2y) = 6
5(3 - 3) - 2(3 - 2 × 3) = 6

The equation works! 

Y = 3

Great work!

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An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample
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Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

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Sample mean, xbar = 18 ;

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At α = 0.01

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(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

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X, Y and Z form the vertices of a triangle. XY = 12.4m, XZ = 10.4m and YZ = 8.7m. Find the angle ∠ YXZ rounded to 1 DP.
sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

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where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

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collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

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∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
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