Let T = the distance, in miles, a tire lasts
T ~ N(70000,4400<span>²</span>)
P(T
75000)
= P(Z
)
= P(Z
)
≈ P(Z
1.14)
= 1 - P(Z < 1.14)
≈ 1 - 0.8729
= 0.1271
we know that
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle
The distance of the circumcenter to the vertices of the triangle is equal to the radius of the circle
see the attached figure to better understand the problem
therefore
the answer is
The cell phone company must be place the new cell tower in the circumcenter of the triangle formed by the center of the three towns
B . The result is a prime number
Answer:
10. Let m<Y = y.
Then,
m<Y + m<X +m<Z = 180 [ Sum of angles of triangle is 180 degrees]
or, y + (6x-23) + (4x + 9) = 180
or, y + 10x -14 = 180
or, y = 194 - 10x
or, m<Y = 194 - 10x
12. Solution,
a. m<1 = 60 degrees [Each angles of equilateral triangle is equal to 60 degrees]
b. In triangle WYZ,
m<Z + m<ZWY + m<ZYW =180 [Sum of angles of triangle is 180]
or, 138 + m<ZWY +m<ZWY =180 [Base angles of isosceles triangle are equal, i.e. m<ZYW = m <ZWY]
or, 2 (m<ZWY) = 180 -138 = 42
or, m<ZWY = 21 = m<ZYW
or, m<3 = 21 = m<5
c. Solution,
m<XWY = m<2 + m<3 [Addition axiom]
or, 60 = m<2 + 21 [Each angle of equilateral triangle is 60]
or, m<2 = 39
d. Solution,
m<4 + m<5 =60 [<XYW = 60 ]
or, m<4 + 21 = 60
or, m<4 = 39
Fill in the blanks:
1.) 85% expressed as a fraction in simplest form is 17/20
Step:
85/100=17/20
2.) 60 out of 300 CDs are classical music CDs. What percent of the CDs are classical music CDs?
20%
Steps:
60/300=1/5
1/5 ×20=20/100=20%
3.) 4/9 expressed as a percent is?
44.4%
Steps:
100% = 9 units
1 unit =100/9
4units=100/9×4=44.4%
4.) 0.72 expressed as a percent is?
72%
Step:
0.72=72/100=72%
