Given: KLMN is a trapezoid, KL=MN,
1 answer:
<h3>Answer:</h3>
∠K = ∠N = 60°
∠L = ∠M = 120°
<h3>Step-by-step explanation:</h3>In the attached, we have renamed F to G so Brainly will let us talk about it more easily. We have also added altitude MX.
AG is also a midsegment of ΔKLM, so LM = 2×AG = 4. Then ...
... NX = AB - LM = 7 -4 = 3
and we have right ΔMXN with hypotenuse 6 and leg 3. This is recognizable as a 30°-60°-90° triangle, with the 60° angle at N.
The angle at M is supplementary to that at N (because LM ║ KN), so measures 120°
The trapezoid is isosceles, so angles K and L have the same measures as angles N and M.
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Answer:
Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week
Step-by-step explanation:
Information given
represent the sample mean for the growth
represent the sample standard deviation
sample size
represent the value to check
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We want to verify if the true mean for the growth us less than 3cm per week, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
We don't know the population deviation so we can use the t statistic:
(1)
Replacing the info given we got:
The degrees of freedom are given by:
The p value for this case would be given by:
Since the p value is less than the significance level of 0.1 we have enough evidence to reject the null hypothesis and we can conclude that the true growth rate is significantly less than 3 cm per week