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4 years ago

How do I find x in this problem?

Mathematics

1 answer:

Goryan [66]4 years ago

6 0

You would use the equation x + x + 65 + 25 = 180. The equate should be equal to 180 since a triangle is 180 degrees. Then use the equation and solve

2x + 90 = 180

2x = 90

x = 45

Hope you understand!

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How many cups of flour are needed if we increase the recipe by 50%?

TEA [102]

Answer:it is 2

Step-by-step explanation:

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3 years ago

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He length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.

g100num [7]

The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
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3W * W <= 112
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A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of

lina2011 [118]

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean x = 31,5

Sample standard deviation s₂ = 8,35

Sample size n₂ = 11

Ti-84 Calculator

Sample mean y = 46,2

Sample standard deviation s₁ = 9,99

Sample size n₁ = 12

t(s) = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s) = 12,9 / √(99,8/12) + (69,72/11)

t(s) = 12,9 / √8,32 + 6,34

t(s) = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis H₀ y - x > 1,80

Altenative Hypothesis Hₐ y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c) critical value for

t(c) α; n₁ +n₂-2 df = 12 +11 -2 df = 21

If we choose CI = 95 % then α = 5 % α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

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Answer:

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