Answer:
The circle's diameter is approximately 24.2 cm
Step-by-step explanation:
You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius. With that we can say:
r = √(11² + 5²)
r = √(121 + 25)
r = √146
Now we can double that to get the diameter:
r = 2√146
r ≈ 24.2
Answer:
P(120< x < 210) = 0.8664
Step-by-step explanation:
given data
time length = 20 year
average mean time μ = 165 min
standard deviation σ = 30 min
randomly selected game between = 120 and 210 minute
solution
so here probability between 120 and 210 will be
P(120< x < 210) =
P(120< x < 210) = 
P(120< x < 210) = P(-1.5< Z < 1.5)
P(120< x < 210) = P(Z< 1.5) - P(Z< -1.5)
now we will use here this function in excel function
=NORMSDIST(z)
=NORMSDIST(-1.5)
P(120< x < 210) = 0.9332 - 0.0668
P(120< x < 210) = 0.8664
Answer:
2x + y = 15
Step-by-step explanation:
Total amount with Manuel = $15
Cost of apps = $2
Cost of song = $1
x = number of apps purchased
y = number of songs purchased
Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel
2*x + 1*y = 15
2x + y = 15
The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15
ANSWER: 127
The shape has 5 sides so it’s inner angles add to 540°.
from this you can add up the angles shown on the diagram and subtract this from 540
the answer this gives you is 127 :)