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Reika [66]
3 years ago
5

one third of the sum of two angles is 60 degree and one quarter of their difference is 28 degree. find the two angles

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
1/3(a + b) = 60
a + b = 60 * 3 = 180

1/4(a - b) = 28
a - b = 28 * 4 = 112

a + b = 180
a - b = 112
---------------add
2a = 292
a = 292/2
a = 146

a + b = 180
146 + b = 180
b = 180 - 146
b = 34

so ur 2 angles are : 146 and 34
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Answer:

Perimeter: 2(3x+6)+ 2(2x-4)

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Step-by-step explanation:

In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:

Perimeter: 2(heights)+ 2(bases)

Perimeter: 2(3x+6)+ 2(2x-4)

IN order to solve for X we just have to insert the value of perimeter, which is 94:

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94=2(3x+6)+ 2(2x-4)

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A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determinin
riadik2000 [5.3K]

Answer:

Option b - not significantly greater than 75%.

Step-by-step explanation:

A random sample of 100 people was taken i.e. n=100

Eighty of the people in the sample favored Candidate i.e. x=80

We have used single sample proportion test,

p=\frac{x}{n}

p=\frac{80}{100}

p=0.8

Now we define hypothesis,

Null hypothesis H_0 : candidate A is significantly greater than 75%.

Alternative hypothesis H_1 : candidate A is not significantly greater than 75%.

Level of significance \alpha=0.05

Applying test statistic Z -proportion,

Z=\frac{\widehat{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n}}}

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Substitute the values,

Z=\frac{0.80-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}

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The p-value is

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P(Z>1.1547)=0.1241

Now, the p-value is greater than the 0.05.

So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.

Therefore, Option b is correct.

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