Step 1
<u>Find the measure of angle x</u>
we know that
If ray NP bisects <MNQ
then
m<MNQ=m<PNM+m<PNQ ------> equation A
and
m<PNM=m<PNQ -------> equation B
we have that
m<MNQ=(8x+12)°
m<PNQ=78°
so
substitute in equation A
(8x+12)=78+78-------> 8x+12=156------> 8x=156-12
8x=144------> x=18°
Step 2
<u>Find the measure of angle y</u>
we have
m<PNM=(3y-9)°
m<PNM=78°
so
3y-9=78------> 3y=87------> y=29°
therefore
<u>the answer is</u>
the measure of x is 18° and the measure of y is 29°
Answer:
see the explanation
Step-by-step explanation:
we know that
A gross is equal to 120 ones or ten dozen
what is 15 tens - 1 gross
we know that
15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12
which gives you

so
The algebraic expression of 15 tens - 1 gross is equal to

Convert to word expression
3 tens
Answer:
B. 1.2×10^-3 mm
Step-by-step explanation:
What constitutes an "appropriate" unit depends on the use of the number. Since we're not told of any particular use, we might choose the smallest of the available units: mm.
1.2×10^-3 mm
_____
<em>Additional comment</em>
The most appropriate unit would be the one that eliminates the power-of-ten multiplier:
= 1.2 µm
Answer: <span>w = [ y + 1] / [a + 2]
Solution step by step:
</span>
1) given <span>formula: y-aw=2w-1
2) transpose aw and - 1
2w + aw = y + 1
3) common factor w:
w (a + 2) = y + 1
4) divide both sides by (a + 2):
w = [ y + 1] / [a + 2]
</span>
Answer:
a.

b-Check illustration below
c.(-0.0517,0.0177
Step-by-step explanation:
a.let
denote processes 1 & 2.
For
: T1=10,n1=200
For
:T2=20,n2=300
Therefore

b. To test for hypothesis:-
i.

ii.For a two sample Proportion test

iii. for
(0.5 alpha IS 0.025),
reject
if
iv. Do not reject
. The noncomforting proportions are not significantly different as calculated below:

z=-0.78
c.
for the p1-p2 is given as:

=(-0.0517,+0.0177)
*CI contains o, which implies that proportions are NOT significantly different.