Answer:
EFG = 50.6, LMN = 129.4
Step-by-step explanation:
ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.
to find the angles first we need to solve for x.
we know EFG + LMN = 180 because its supplementary.
that's is (3x+17) + (12x-5) = 180.
we now solve for x;
15x+12 = 180
15x = 168, x= 168/15 = 11.2
now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.
EFG = 3x11.2 + 17 = 50.6
LMN = 12x11.2 - 5 = 129.4
Let p be
the population proportion. <span>
We have p=0.60, n=200 and we are asked to find
P(^p<0.58). </span>
The thumb of the rule is since n*p = 200*0.60
and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is
considered to be large and hence the sampling distribution of sample
proportion-^p will follow the z standard normal distribution. Hence this
sampling distribution will have the mean of all sample proportions- U^p = p =
0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] =
√[0.60*(1-0.60)/200] = √0.0012.
So, the probability that the sample proportion
is less than 0.58
= P(^p<0.58)
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0...
= P(z<-0.58)
= P(z<0) - P(-0.58<z<0)
= 0.5 - 0.2190
= 0.281
<span>So, there is 0.281 or 28.1% probability that the
sample proportion is less than 0.58. </span>
2 1/2 is also 2.5, therefore to calculate each liter, just 60/2.5, so the answer is $24
Line 1 to 2: Commutative Property of Multiplication, because all that changed was the order of the things being multiplied.
Line 2 to 3: Commutative Property of *Addition*, because all that changed was the order of the things being added.
All that changed in either step was the ordering of the things being multiplied or added. That’s the commutative property.
Answer:
190,208
Step-by-step explanation:
732,178 + 167 = 732,345
732,345 - 542,137 = 190,208
