Like charges repel and unlike charges attract. Coulomb’s law states that the force F of attraction or repulsion between two char
ges, q1 and q2 is given by F= kq1q2/f^2, where k is constant and r is the distance between the positive charges. Suppose you were to graph F as a function of r for two positive charges
2 answers:
Step-by-step explanation:
The electrical force between two unlike charge is given by :
k is electrostatic constant
q₁ and q₂ are two charges
r is the distance between charges
It is clear that the electric force is inversely proportional to the square of the distance between them.
The graph F as a function of r for two positive charges is shown in the attached figure. It is a hyperbola.
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I'm assuming this is multiple choice and you forgot to post the answers. I'll take a guess and say it probably looks something like this:
Because you can't take the square root of a negative number without getting an imaginary result, resulting in the function having a closed domain limit.
Because you can't take the square root of a negative number without getting an imaginary result, resulting in the function having a closed domain limit.
system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is and
.
<u>Step-by-step explanation:</u>
Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:
Let the price in dollars of each large candle, x, and each small candle, y .So
A customer at a store paid $64 for 3 large candles and 4 small candles
Equation is :
⇒ .....(1)
At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.
Equation is :
⇒ .......(2)
3(2)-(1) i.e.
⇒
⇒
⇒
So ,
⇒
⇒
Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is and
.
Answer:
71.08% probability that pˆ takes a value between 0.17 and 0.23.
Step-by-step explanation:
We use the binomial approxiation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
. So
In other words, find probability that pˆ takes a value between 0.17 and 0.23.
This probability is the pvalue of Z when X = 200*0.23 = 46 subtracted by the pvalue of Z when X = 200*0.17 = 34. So
X = 46
has a pvalue of 0.8554
X = 34
has a pvalue of 0.1446
0.8554 - 0.1446 = 0.7108
71.08% probability that pˆ takes a value between 0.17 and 0.23.