Answer:
240°
Step-by-step explanation:
Draw a line EF perpendicular to AB and CD passing through M
In △BME
∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)
∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘
In △DMF
∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )
∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘
x=∠DMF+∠BME+∠EMF
x=15∘+45∘+180∘x=240∘
Answer:
The slope of this line would be undefined.
Step-by-step explanation:
In order to find the slope of any line, use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (3 - -1)/(-6 - -6)
m = (3 + 1)/(-6 + 6)
m = 4/0
Since we cannot divide by 0, then we know the slope is undefined.
1920÷12= 160
Step-by-step explanation:
1920÷12= 160
Answer:
Step-by-step explanation:
⇒ 
⇒ 
⇒ 
Part B is not clear and the clear one is;
P(X ≥ 6)
Answer:
A) 0.238
B) 0.478
C) 0.114
Step-by-step explanation:
To solve this, we will make use of binomial probability formula;
P(X = x) = nCx × p^(x)•(1 - p) ^(n - x)
A) 54% of U.S. adults have very little confidence in newspapers. Thus;
p = 0.54
10 random adults are selected. Thus;
P(X = 5) = 10C5 × 0.54^(5) × (1 - 0.54)^(10 - 5)
P(X = 5) = 0.238
B) P(X ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)
From online binomial probability calculator, we have;
P(X ≥ 6) = 0.2331 + 0.1564 + 0.0688 + 0.01796 + 0.0021 = 0.47836 ≈ 0.478
C) P(x<4) = P(3) + P(2) + P(1) + P(0)
Again with online binomial probability calculations, we have;
P(x<4) = 0.1141 ≈ 0.114
