Answer: -9/1
Step-by-step explanation: you want to get x and y on opposite sides so you subtract 9x and that gives you y=-9x+9 because the nine on the right side doesn’t have a negative in front of it so you know it’s positive. Your slope is whatever comes before the x so since it’s -9 that means it’s -9/1
Answer:
For the answer to the question above, first you must find the area of the rectangle, which is 3 × 6 = 18 inches squared. Then, you find the area of the triangles. To find the area of the top triangle, you'd do base × height/2 (5 × 6)/2 = 15 inches squared. The triangle on the left would be (4 × 3)/2 which is 6 inches squared. After you've added up all of the values, you get (18 + 15 + 6) = 39 inches squared
Step-by-step explanation:
-1 <span>± </span><span><span>√61 / 6. Negative 1, plus or minus square root of 61 divide by 6</span></span>
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:
Patricia will run 132 kilometers with 11 liters of gas.
Step-by-step explanation:
The given table is representing the distance driven by Patricia for every liter of gas she puts in her car.
With 3 liters of gas she drives 36 kilometers.
This means in one liter of gas distance covered by the car = 
kilometers.
Similarly if the car runs 48 kilometers in 4 liters of gas then per liter distance covered by the gas will be = 
kilometers
Now with 11 liters of gas distance covered by the car will be = 11×12
= 132 kilometers
Therefore, with 11 liters of gas Patricia can run 132 kilometers.
