Vertical angles are congruent, so
107=3x-4
3x=111
x=111/3=37°
Answer:
5
Step-by-step explanation:
Let L be the larger number and s be the smaller one.
Then we have two equations.
(1) L – s = 25
(2) s = L/6 Multiply both sides by 6
6s = L Substitute the value for L in Equation(1)
6s – s = 25 Combine like terms
5s = 25 Divide both sides by 5
s = 5
The value of the smaller number is 5.
Answer:
its the first one
Step-by-step explanation:
Both solutions:
x = -1, -7/3
Answer:
0.9544
Step-by-step explanation:
We are given that mean=18 and standard deviation=1 and we have to find P(16<X<20).
P(16<X<20)=P(z1<Z<z2)
z1=(x1-mean)/standard deviation
z1=(16-18)/1=-2
z2=(x2-mean)/standard deviation
z2=(20-18)/1=2
P(16<X<20)=P(z1<Z<z2)=P(-2<Z<2)
P(16<X<20)=P(-2<Z<0)+P(0<Z<2)
P(16<X<20)=0.4772+0.4772=0.9544
The probability that the height of a tree is between 16 and 20 feet is 95.44%
