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aleksklad [387]
3 years ago
14

Please anwser

Mathematics
1 answer:
Sav [38]3 years ago
6 0

9514 1404 393

Answer:

  • ∠1 = 112°
  • ∠2 = 26°

Step-by-step explanation:

The useful relation in this geometry is: an exterior angle of a triangle is equal to the sum of the remote interior angles.

  128° = ∠1 + 16°

  112° = ∠1

__

  112° = 86° +∠2

  26° = ∠2

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The area of a square garden is 128m sqared.how long is the diagonal
weqwewe [10]

The area of a square is  (side)².
If the area is  128m², then the side is  (√128) meters. (That's 8√2.)

The diagonal is the hypotenuse of the right triangle you get
if you slice the square in half along the diagonal.  Its length is
given in the words of Old Pythagoras:

               c² = a² + b²

'a' and 'b' are sides of the square, so

             c² = (√128)² + (√128)²

                 =    2 (√128)²

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Answer:

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3 years ago
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Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey
tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 7 hours

Sample mean, \bar{x} = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s =  0.55 hours

First, we design the null and the alternate hypothesis

H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59

c) Now,

t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301

Since,                    

t_{stat} < t_{critical}

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that  mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

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3 years ago
Help me with this I will give you all my points???​
Rasek [7]

Answer:

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