Answer:
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
Step-by-step explanation:
Slope formula: m = (x' - x)/(y' - y)
m-AD: (6-3)/(-5 - -9) = 3/4 (I'm not detail other Other slopes)
m- BC = 3/4
m-AB = - 4/3
m-AD = m-BC AD // BC (ABCD is a Trapezoid)
m-AB = - 1 / m-BC
AB ⊥ BC
segment length formula: d = √(x' - x)² + (y' - y)²
AD = √(-5 - -9)² + (6 - 3)² = √4² + 3² = √25 = 5
DC = √50 = 7.1
BC = √100 = 10
AB = √25 = 5
Perimeter = 5 + 5 + 7.1 + 10 =27.1
area = (5 + 10)x5 / 2 = 37.5
area ABCD = (5+10)x5 / 2 =
Answer:
284.837734 ft^3 rounded up to 284.84 ft^3
Step-by-step explanation:
Cylinder Volume: pi*r^2h
pi*4^2*4=201.06193
Cone Volume: pi*r^2*(h/3)
pi*4^2*(5/3)=83.7758041
201.06193+83.7758041=284.837734
284.837734 ft^3
Here is the graph, the vertex is (-2,2)
Answer: the probability it will come up heads 25 or fewer times is 0.019
Step-by-step explanation:
Given that;
n = 50
p = 0.65
so, q = 1 - p = 0.35
np = 50 × 0.65 = 32.5 ≥ 10
nq = 50 × 0.35 = 17.5 ≥ 10
so, we need to use Normal Approximation for the Binomial Distribution
μ = np = 50 × 0.65 = 32.5
σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726
now, the probability that it will come up heads 25 or few times will be;
⇒ P( x≤25)
{using continuity correction}
⇒ P[ z < (25.5 - 32.5)/3.3726 ]
⇒ P[ z < -2.0755 ]
using z-table
= 0.01923 ≈ 0.019 { 3 decimal places}
Therefore the probability it will come up heads 25 or fewer times is 0.019
Answer:
$10 coins: 21
$20 coins: 24
Step-by-step explanation:
heyy me again
So we can create 2 equations where
x = number of $10 coins
y = number of $20 coins:
x + y = 45
10x + 20y = 690
we can move equation 1 around so that we can get a value of x
x = 45 - y
now we can substitute x into the second equation
10(45 - y) + 20y = 690
450 - 10y + 20y = 690
10y = 240
y = 24
Now plug in y back into the first equation
x = 45 - y
x = 45 - 24
x = 21