MATHEMATICS COLLEGE

Evaluate k - m if k = 8, m = -7, and p = -10.

Answers

Answer 1

Answer:

Answer:15

8-(-7)=8+ 7=15 BECAUSE -(-7) = +7

Step-by-step explanation:

BECAUSE -(-7) = +7 SO THE PROBLEM CHANGES TO 8+7=15

P=10 HAS NOTHING TO DO WITH THE FORMULA. K-M=?

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You are renting a limousine that charges certain rates to visit each of the following cities. You needto visit each city once and you need to start in Athens and end in Athens. Use the "Brute Force"
Algorithm to find the cheapest route to visit each city and return home again to Athens.

Answers

Answer:

the answer is Athens-Buford-Cu-Dacul-Athens

Step-by-step explanation:

What is the factors for 14 and 6

Answers

Answer:

14= 1, 2, 7, 14

6= 1, 2, 3, 6

Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 70 55 up to 65 360 65 up to 75 250 75 up to 85 110 (See the Excel Data File.) The mean speed of the automobiles traveling on this road is the closest to ________.

Answers

Answer:

The mean speed of the automobiles traveling on this road is the closest to 65 mph.

Step-by-step explanation:

frequency distribution of speeds.

Speed (mph) | Frequency

45 up to 55 | 70

55 up to 65 | 360

65 up to 75 | 250

75 up to 85 | 110

Using the midpoint method, we represent each group/class of speeds with the midpoint speed, then go ahead to compute the mean.

Let the speed be x

The frequency be f

x | f

50 | 70

60 | 360

70 | 250

80 | 110

Mean = (Σfx)/(Σf)

Σfx = (50×70) + (60×360) + (70×250) + (80×110) = 51,400

Σf = 70 + 360 + 250 + 110 = 790

Mean = (Σfx)/(Σf)

Mean = (51400/790) = 65.06 mph ≈ 65 mph

The mean speed of the automobiles traveling on this road is the closest to 65 mph

Hope this Helps!!!

The popular candy Skittles comes in 5 colors. According to the Skittles website, the 5 colors are evenly distributed in the population of Skittle candies. So each color makes up 20% of the population. Suppose that we purchase a small bag of Skittles. Assume this size bag always has 40 candies. In this particular bag 10 are green. What is the probability that a randomly selected bag of this size has 10 or more green candies

Answers

Answer:

27.76% probability that a randomly selected bag of this size has 10 or more green candies

Step-by-step explanation:

I am going to use the normal approximation to the binomial 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:

$E(X) = np$

The standard deviation of the binomial distribution is:

$√(V(X)) = √(np(1-p))$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

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 $\mu = E(X)$ , $\sigma = √(V(X))$ .

In this problem, we have that:

$n = 40, p = 0.2$

$\mu = E(X) = np = 40*0.2 = 8$

$\sigma = √(V(X)) = √(np(1-p)) = √(40*0.2*0.8) = 2.53$

What is the probability that a randomly selected bag of this size has 10 or more green candies

Using continuity correction, this is $P(X \geq 10 - 0.5) = P(X \geq 9.5)$ , which is 1 subtracted by the pvalue of Z when X = 9.5. So

$Z = (X - \mu)/(\sigma)$

$Z = (9.5 - 8)/(2.53)$

$Z = 0.59$

$Z = 0.59$ has a pvalue of 0.7224

1 - 0.7224 = 0.2776

27.76% probability that a randomly selected bag of this size has 10 or more green candies

Answer:

$P(x\geq 10)=0.2682$

Step-by-step explanation:

The number x of green candies in a bag of 40 candies follows a binomial distribution, because we have:

n identical and independent events: 40 candies
a probability p of success and (1-p) of fail: a probability of 0.2 to get a green candie and 0.8 to doesn't get a green candie.

So, the probability that in a bag of 40 candies, x are green is calculated as:

$P(x)=(n!)/(x!(n-x)!)*p^(x)*(1-p)^(n-x)$

Replacing, n by 40 and p by 0.2, we get:

$P(x)=(40!)/(x!(40-x)!)*0.2^(x)*(1-0.2)^(40-x)$

So, the probability that a randomly selected bag of this size has 10 or more green candies is equal to:

$P(x\geq 10)=P(10)+P(11)+...+P(40)\nP(x\geq 10)=1-P(x<10)$

Where $P(x<10)=P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)$

So, we can calculated P(0) and P(1) as:

$P(0)=(40!)/(0!(40-0)!)*0.2^(0)*(1-0.2)^(40-0)=0.00013\nP(1)=(40!)/(1!(40-1)!)*0.2^(1)*(1-0.2)^(40-1)=0.00133$

At the same way, we can calculated P(2), P(3), P(4), P(5), P(6), P(7), P(8) and P(9) and get that P(x<10) is equal to:

$P(x<10)=0.7318$

Finally, the probability $P(x\geq 10)$ that a randomly selected bag of this size has 10 or more green candies is:

$P(x\geq 10)=1-P(x<10)\nP(x\geq 10)=1-0.7318\nP(x\geq 10)=0.2682$

Tobias is lifting weights and records the total number of reps he does every day. Suppose A represents the number of reps and B represents the day. Which of the following accuratelydescribe this situation?
A. A is a function of B and B is a function of A
B. A is a function of B
C B is a function of A
D. Neither is a function of the other

Answers

Final answer:

The number of reps Tobias does depends on the day, thus 'A' is a function of 'B'. The number of reps in itself does not determine the day, so 'B' cannot be a function of 'A'. The correct answer is 'A is a function of B'

Explanation:

In this situation, each day Tobias lifts weights, he carries out a certain number of reps. So, the number of reps (A) he does is dependent on the day (B), hence, A is a function of B. It simply means that for every day (input), there's a corresponding number of reps (output). It is not necessarily true that for each specific number of reps, there is a specific day. Hence, B cannot be said to be a function of A. Therefore, the correct answer is 'A is a function of B'.

Learn more about Functions here:

brainly.com/question/21145944

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Can some tell me how to do these

Answers

Never forget propertie of indices

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