Answer:
Correct option is A
Since it is an equilateral triangle, the lengths of the sides are equal
So, x+3 y=3 x+2 y−2=4 x+
2
1
y+1
x+3 y=3 x+2 y−2
y=2 x−2
2 x−y=2 ...(1)
Also, 4 x+
2
1
y+1=x+3 y
8 x+y+2=2 x+6 y
6 x+2=5 y
6 x−5 y=−2 ...(2)
Multiplying e q(1) by 5 we get,
10 x−5 y=10 ...(3)
Subtracting e q(2) from e q(3) we get,
4 x=12⇒x=3
y=2 x−2=4
The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units
Answer:
2.62*10^5
can you also please mark me as brainliest?
Answer:
12 Nickles
6 dimes
Step-by-step explanation:
yeah bro i think thats the answe
Answer:
The probability that the mean receipt for dinner is between $24.50 and $25.50 is
P(24.50≤ x ≤ 25.50)= 0.8324
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of Population(μ) = $25
Given standard deviation of the Population (σ) = 2.30
Sample size 'n' = 40
Let 'X' be the random variable in normal distribution
Given X₁ = 24.50
Given X₂ = 25.50
<u><em>Step(ii):-</em></u>
The probability that the mean receipt for dinner is between $24.50 and $25.50
P(x₁≤ x ≤ x₂) = P(Z₁≤ z ≤ Z₂) = A(Z₂) + A(z₁)
P(24.50≤ x ≤ 25.50) = P(-1.375≤ z ≤ 1.375) = A(1.375) + A(1.375)
P(24.50≤ x ≤ 25.50)= 2 A( 1.375)
= 2 × 0.4162 ( from normal table)
= 0.8324
<u><em>Final answe</em></u>r:-
The probability that the mean receipt for dinner is between $24.50 and $25.50 is 0.8324
Answer:
Sean's rocket lands 3 seconds after Kiara's rocket.
Step-by-step explanation:
Kiara: f(t)= -16t² + 80t
Sean: h(t) = -16t² + 120t + 64
Assume that both rockets launch at the same time. We need to be suspicious of Sean's rocket launch. His equation for height has "+64" at the end, whereas Kiara's has no such term. The +64 is the starting height iof Sean's rocket. So Kiara has a 64 foot disadvantage from the start. But if it is a race to the ground, then the 64 feet may be a disadvantage. [Turn the rocket upside down, in that case. :) ]
We want the time, t, at which f(t) and h(t) are both equal to 0 (ground). So we can set both equation to 0 and calculate t:
Kiara: f(t)= -16t² + 80t
0 = -16t² + 80t
Use the quadratic equation or solve by factoring. I'll factor:
0 = -16t(t - 5)
T can either be 0 or 5
We'll choose 5. Kiara's rocket lands in 5 seconds.
Sean: h(t) = -16t² + 120t + 64
0= -16t² + 120t + 64
We can also factor this equation (or solve with the quadratic equation):
0 = -8(t-8)(2t+1)
T can be 8 or -(1/2) seconds. We'll use 8 seconds. Sean's rocket lands in 8 seconds.
Sean's rocket lands 3 seconds after Kiara's rocket.
