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USPshnik [31]
3 years ago
14

1.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

Null hypothesis H_0; \mu=5

Alternative hypothesis H_a; \mu\neq 5

Step-by-step explanation:

Consider the provided information.

The shower by an adult is 5 minutes.

The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.

We need to determine the appropriate null and alternative hypotheses.

A null hypothesis is there is no statistical significance between the two variables.

An alternative hypothesis is there is a statistically significant relationship between two variables.

Therefore the required null and alternative hypothesis are:

Null hypothesis H_0; \mu=5

Alternative hypothesis H_a; \mu\neq 5

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A quadrilaterals consecutive angles measure (3x+10), (9x+50), (4x), and (13x+10). Determine the value of x.
LuckyWell [14K]

The value of x is 10

Step-by-step explanation:

We know that the sum of internal angles of a quadrilateral is 360 degrees

So,

Given

Angle 1 = A1 = 3x+10

Angle 2 = A2 = 9x+50

Angle 3 = A3 = 4x

Angle 4 = A4 = 13x+10

So,

A_1+A_2+A_3+A_4 = 360\\(3x+10)+(9x+50)+(4x)+(13x+10) = 360\\3x+10+9x+50+4x+13x+10 = 360\\3x+9x+4x+13x+10+50+10 = 360\\29x+70 = 360

Subtracting 70 from both sides

29x+70-70 = 360-70\\29x = 290

Dividing both sides by 29

\frac{29x}{29} = \frac{290}{29}\\x = 10

Hence,

The value of x is 10

Keywords: Angles, Quadrilateral

Learn more about angles at:

  • brainly.com/question/725998
  • brainly.com/question/7128279

#LearnwithBrainly

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