Same strategy as before: transform <em>X</em> ∼ Normal(76.0, 12.5) to <em>Z</em> ∼ Normal(0, 1) via
<em>Z</em> = (<em>X</em> - <em>µ</em>) / <em>σ</em> ↔ <em>X</em> = <em>µ</em> + <em>σ</em> <em>Z</em>
where <em>µ</em> is the mean and <em>σ</em> is the standard deviation of <em>X</em>.
P(<em>X</em> < 79) = P((<em>X</em> - 76.0) / 12.5 < (79 - 76.0) / 12.5)
… = P(<em>Z</em> < 0.24)
… ≈ 0.5948
Answer:0.2 gallons and 1.6 pints
Step-by-step explanation:
1 gallon = 8 pint
1 gallon / 5=0.2 gallon
8 pint / 5=1.6 pint
Answer:
The distance between them after 30 minutes is 6.5 km.
Step-by-step explanation:
Speed =
Sarah's speed = 6 km/hr = 1.6667 m/s
Emily's speed = 10 km/hr = 2.7778 m/s
The measure of angle between their bearings =
After 30 minutes (1800 seconds);
distance = speed x time
Sarah would have covered a distance = 1.6667 x 1800
= 3000 m
= 3 km
Emily would have covered a distance = 2.7778 x 1800
= 5000 m
= 5 km
The distance between them, a, can be determined by applying the cosine rule;
= + - 2bcCos A
= + -2(5000 x 3000) Cos 105
= + -2(5000 x 3000) x (-0.2588)
= 2.5 x + 9 x + 7764000
= 41764000
a =
= 6462.5073
a = 6462.5 m
The distance between them after 30 minutes is 6.5 km.
Answer:
23 months
Also please note that it's everytime ^t/12 not (^t)/12
Step-by-step explanation:
Principal (P) = $2700
rate = 9%
t = ?
Amount =
Amount = 2700 +500 = $3200
So substituting all our values we get :
So we use log to solve for t :
Solving this using a calculator we get:
1.9714966193*12
=23 months
Answer:
C
Step-by-step explanation:
Assume the surface area = 6x²
6 is the number of faces and x is the length of the cube
so 3/2 = 6x²
Divide by 6
1/4 = x²
Square root both sides
1/2 = x
Volume is : l×w×h
so 1/2 × 1/2 × 1/2 = 1/8