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2 years ago

The table below shows the different times it takes Paula to drive to work each day depending on the rate at which she drives.

2 answers:

7 0

Speed = distance / time
30 = d / 2.5
30 * 2.5 = d
75 = d

40 = d / 1.875
40 * 1.875 = d
75 = d

50 = d / 1.5
50 * 1.5 = d
75 = d

60 = d / 1.25
60 * 1.25 = d
75 = d

24 = 75 / time
time = 75/24
time = 3.125 hours

natulia [17]2 years ago

3 0

Answer:

75 miles / 24 mph = 3.125 hours

Step-by-step explanation:

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Prof. okamoto selects 3 different students to report on 3 different current events. if there are 27 students in the class, in ho

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Consider this option:
C³₂₇=27!/(3!*24!)=25*13*9=2925 ways to select 3 students.

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2 years ago

Which pair of expressions has equivalent values? 1 Superscript 13 and 1 Superscript 15 6 Superscript 1 and 9 Superscript 1 7 Sup

lora16 [44]

Answer:

1 Superscript 13 and 1 Superscript 15

Step-by-step explanation:

The process of exponentiation can be mathematically written as:

a^b

where a is called the base, and b is called the exponent.

Basically it means that we have to multiply the base with itself as many times as the value of the exponent.

For example 2^4 is 2•2•2•2

Having this in mind, 1^13 and 1^15 have equivalent values, because no matter how many times we multiply 1 with itself it will always be equal to 1.

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2 years ago

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Anthony borrows $6.50 from a friend to pay for a sandwich and drink at lunch. Then he borrows $3.75 from his sister to pay a lib

Katen [24]

Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50

Money borrowed by Anthony from his sister to pay a library fine = $3.75

Hence, the equation to express Anthony's total debt that day will be =

Let T be the total debt , so the equations becomes,

6.50 + 3.75 = T

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2 years ago

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According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening.† (a) For

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Answer:

a) 0.2741 = 27.41% probability that at least 13 believe global warming is occurring

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Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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:

$Z = \frac{X - \mu}{\sigma}$

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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .