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luda_lava [24]
3 years ago
15

Which mathematical concepts did Euler's legacy include? Check all that apply.

Mathematics
2 answers:
quester [9]3 years ago
7 0

Answer:

a)the notation for the imaginary unit

c) the formalization of a function notation

e) the notation for the base of the natural logarithm

Step-by-step explanation:

it said i was correct :P

jonny [76]3 years ago
5 0

the notation

the formalization of function notation

the notation for the base of natural logarithm

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Help!!!
bekas [8.4K]
B and c I hoped that helped
5 0
4 years ago
Listed below are the top 10 annual salaries​ (in millions of​ dollars) of TV personalities. Find the​ range, variance, and stand
valentina_108 [34]

Answer:

Step-by-step explanation:

The given data is

42 40 39 31 22 18 15 12 11.7 10.5

Range = 42 - 10.5 = 31.5

Mean = (42 + 40 + 39 + 31 + 22 + 18 + 15 + 12 + 11.7 + 10.5)/10 = 24.12

n = 10

Variance = Summation(x - mean)²/n

Summation(x - mean)² = (42 - 24.12)^2 + (40 - 24.12)^2 + (39 - 24.12)^2 + (31 - 24.12)^2 + (22 - 24.12)^2 + (18 - 24.12)^2 + (15 - 24.12)^2 + (12 - 24.12)^2 + (11.7 - 24.12)^2 + (10.5 - 24.12)^2 = 1452.396

Variance = 1452.396/10 = 145.2396

Standard deviation = √(summation(x - mean)²/n

Standard deviation = √(145.2396

Standard deviation = 12.1

The standard deviation of the sample is not a good estimate of the variation of the salaries of the TV personalities in general because

B. No, because the sample is not representative of the whole population.

3 0
4 years ago
Question 2: The average price for a BMW 3 Series Coupe 335i is $39,368. Suppose these prices are also normally distributed with
densk [106]

Answer:

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 39368, \sigma = 2367

What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe?

This is 1 subtracted by the pvalue of Z when X = 44520. So

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

Z = \frac{44520 - 39368}{2367}

Z = 2.18

Z = 2.18 has a pvalue of 0.985

1 - 0.985 = 0.015

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

5 0
3 years ago
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. Is Rectan
sergeinik [125]

Rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k = \frac{12}{15} = \frac{4}{5} ← ratio of lengths

k = \frac{8}{10} = \frac{4}{5} ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k = \frac{15}{30} = \frac{1}{2} ← ratio of lengths

k = \frac{10}{15} = \frac{2}{3} ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k = \frac{30}{12} = \frac{5}{2} ← ratio of lengths

k = \frac{15}{8} ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C


4 0
4 years ago
Is 9/10 greater than 1/2
shtirl [24]
Yes, because if you use common Denominator, it'll be 9/10 and 5/10
7 0
4 years ago
Read 2 more answers
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