The display got this answer because you forgot to put the decimal point on 42.8 and typed in 428 instead this is why the display shows the wrong answer. You can estimate the answer by seeing the numbers are really low and the answer can’t be that big.
Answer:
-2.154
Step-by-step explanation:
We are given;
Population mean; μ = 432
Sample mean; x¯ = 425
Sample size; n = 29
standard deviation; σ = 26
Hypothesis is defined as;
Null hypothesis; H0: μ ≥ 432
Alternative hypothesis: Ha: μ < 432
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
t = (425 - 432)/(26/√29)
t = -1.45
Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28
From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154
However, this is a left tailed test as the rejection region is to the left.
Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154
As the total angle is a straight angle (its measure is 180 degrees), the angles GHL and LHK are supplementary angles (their meausres add up to 180 degrees)
to get the measure of angle LHK = 180 - 79 = 101 degrees
I hope that
helps!
Answer:
Reflex angle
Step-by-step explanation:
Properties of reflex angles:
1). Any angle measuring between 180° and 360°.
2). Other side of the reflex angle is either acute or obtuse angle.
By these properties,
Since, angle C measures more than 180° but less than 360° and opposite angle is an acute angle.
By these properties angle C and angle D are the reflex angles.