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3 years ago

Can a triangle have more than one obtuse angle? Explain

2 answers:

8 0

No, the interior angles of a triangle always equal 180 degrees. The definition of an obtuse angle is one that is more than 90 degrees. One angle can be more than 90 but the other two have to be smaller than 90 to equal 180. There is no mathematical way to have to angles of more than 90 degrees and still have the interior equal 180 degrees.

Hope that helps.

Cerrena [4.2K]3 years ago

6 0

Yes it can. Because there are many ways you make a triangle.

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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.

8 0

3 years ago

The sum of two numbers is 65 one is 4 times as large as the others.what are the numbers?

bixtya [17]

let the numbers be n and m

n+m=65

n=4m

So when we put our work in:

4m+m=65

5m=65

m=13

n=52

So therefore your two numbers are 52 and 13!

Hope this helped! °ω°

6 0

3 years ago

Which phrases can be used to represent the inequality 6.5 x + 1.5 less-than-or-equal-to 21? Select two options. The product of 6

Montano1993 [528]

Answer:

The option with “at most” and “no more than”

Step-by-step explanation:

These two phrases mean “greater than or equal to”

5 0

3 years ago

What's the 8th term of the sequence defined by the given rule: F(1)=3, F (n-1 )+10

castortr0y [4]

Yes ofcourse maybe why

4 0

3 years ago

Read 2 more answers

Plzzz helppp me!!!!!!!!!!!!!

GREYUIT [131]

Answer:

a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,

258 + 239 = 497

b) It's the same distance = 497

c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.

4 0

3 years ago