Answer:
REQUIRED TEST STATICS IS 35.19
Step-by-step explanation:
total size of sample = 10,000
men women
voted 2777 3466
did not vote 1444 2313
By chi square test we can find the relationship between gender and participation in the election
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where
a represent = 2777, b = 3466, c= 1444, d = 2313, N = 10000
Putting values to get chis square statics
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HENCE REQUIRED TEST STATICS IS 35.19
Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
The manager needs to buy 3375 water bottles and 1125 sodas and both will equal 4500. hope this helps
There was $800 deposited at 9% interest and $400 deposited at 4% interest.
The formula for simple interest is I = prt. Using our information we have:
88 = x(0.09)(1) + (1200-x)(0.04)(1)
88 = 0.09x + 48 - 0.04x
88 = 0.05x + 48
Subtract 48 from both sides:
88 - 48 = 0.05x + 48 - 48
40 = 0.05x
Divide both sides by 0.05:
40/0.05 = 0.05x/0.05
x = 800
1200 - x = 400
Answer:
the answer is 22
Step-by-step explanation:
you just need to plug in the values of x and y so...
6(5)-8
30-8
=22
