Step-by-step explanation:
Answer:
23.87
Step-by-step explanation:
Answer:
There are 2,000 grams left after 300 years.
Step-by-step explanation:
Giving the following information:
The half-life of a radioactive substance is 200 years. There are 8000 grams of the substance initially.
First, we need to calculate the reduction of the substance each year:
Yearly reduction= 8,000/400= 20 grams per year
Now, for 300 years:
300 year reduction= 20*300= 6,000
There are 2,000 grams left after 300 years.
Answer: 0.1397 ; 0.385
Step-by-step explanation:
Given the following :
Small engine population = 45% ; 10% fail
Medium engine population = 35% ; 12% fail
Large engine population = 20% ; 15% fail
Probability that a randomly chosen car fails emission test :
P(failure) = Σ(population % * failure %)
P(failure) = (45%*10%) + (35%*12%) + (20%*15%)
P(failure) = 0.045 + 0.042 + 0.03 = 0.117
B) what is the probability it is a car with a small engine
P = small engine cars with emission failure / total emission failure
= (0.45 × 0.1) / 0.117 = 0.045 / 0.117 = 0.3846
= 0.385
Your answer
26 more than twice the
Answer:
23+10r= 5+r
Step-by-step explanation:
let r be the number
Answer:
there are 5280 feet in a mile
Step-by-step explanation:
Give your answers to 2 decimal places when appropriate
The roots of the equation 9x² - 29x - 28 = 0 are x = 4 and x = -0.78.
The equation given is a quadratic equation. To solve it, we can use the quadratic formula: x = [-b ± sqrt(b²-4ac)] / (2a), where a, b, and c are coefficients of the quadratic equation. In your equation, a=9, b=-29, and c=-28.
So now, we substitute these values into the quadratic formula:
x = [29 ± sqrt((-29)²-4*9*(-28))] / (2*9)
Solving inside the square root first, we get:
x = [29 ± sqrt(841+1008)] / 18
x = [29 ± sqrt(1849)] / 18
Continue to simplify and you get:
x = [29 ± 43] / 18, which gives us two possible solutions:
x = 72 / 18 = 4
and
x = -14 / 18 = -0.78 (to two decimal places).
#SPJ3
Answer:
x = 4 or x = 0.78
Step-by-step explanation:
9x² – 29x – 28 = 0
2 roots: x = ((-(-29) ± √(-29)² - 4 x 9 x (-28)) / (2 x 9)
= (29 ± √841 + 1008) / 18
= (29 ± 43) /18
x = 72 /18 = 4 or
x = -14 /18 = - 0.78