Answer:
a) All of them are out of charge = 9.31x10⁻¹⁰
b) 20% of them are out of charge = 5.529x10⁻⁴
Step-by-step explanation:
This problem can be modeled as a binomial distribution since
There are n repeated trials and all of them are independent of each other.
There are only two possibilities: battery is out of charge and battery is not out of charge.
The probability of success does not change with trial to trial.
Since it is given that it is equally likely for the battery to be out of charge or not out of charge so probability of success is 50% or 0.50
P = 0.50
1 - P = 0.50
a) All of them are out of charge?
Probability = nCx * P^x * (1 - P)^n-x
Probability = ₃₀C₃₀(0.50)³⁰(0.50)⁰
Probability = 9.31x10⁻¹⁰
b) 20% of them are out of charge?
0.20*30 = 6 batteries are out of charge
Probability =₃₀C₆(0.50)²⁴(0.50)⁶
Probability = 5.529x10⁻⁴
9514 1404 393
Answer:
- 4% fund: $39,000
- 52% fund: $1000
Step-by-step explanation:
Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...
0.52x +0.04(40000-x) = 2080
0.48x = 480 . . . . . . . . . subtract 1600, simplify
x = 1000 . . . . . . . . . divide by 0.48
Then the amounts invested in each fund are ...
4% fund: $39,000
52% fund: $1000
He used an incorrect time ratio converting hours to minutes.
Answer:
<em>The answer resides in the explanation.</em>
<em>Pls rate as brainliest </em>
Step-by-step explanation:
The predicted useful life of a brand A cutting tool when the speed is 45 meters per minute is 1.2 to 5.5 hours.
The predicted useful life of a brand B cutting tool when the speed is 45 meters per minute is 3.4 to 5.4 hours.
The prediction interval for brand A is larger than the prediction interval for brand B because the estimated standard error of y^ is different for the two intervals.
The prediction intervals are both larger than the corresponding confidence intervals.
The standard error for the estimated mean value of y is smaller than the standard error for the predicted value of y.
The predicted useful life of a brand A cutting tool that is operated at 100 meters per minute is -0.59 hours
The actual predicted useful life of a brand A cutting tool when the speed is 100 meters per minute is 0.0 to 2.3 hours.
Answer:
C
Step-by-step explanation:
In the graph given, we can expect the x axis to be horizontal and the y axis to be vertical. This means that the arm span represents y and the height represents x.
Therefore, if a girl on her team is 63 inches tall, we can say that y=x+2, and since height is x, y = 63 + 2 = 65
