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3 years ago

-8+(-4)+(-2)+(-1)+(-1/2)+.... what is the sum of the first 7 terms of the geometric series

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Your answer is 15.875

-8+(-4)+(-2)+(-1)+(-1/2)+(-1/4)+(-1/8)
you half the previous vaule to find the next value

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Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope

d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

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:

$\mu = 46.8, \sigma = 1.75$

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

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

$Z = \frac{50 - 46.8}{1.75}$

$Z = 1.83$

$Z = 1.83$ has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

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

$Z = \frac{48 - 46.8}{1.75}$

$Z = 0.685$

$Z = 0.685$ has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0

3 years ago

Mike jogged a total distance of 5 1/3 miles during the months of October and November. If Mike only jogger 1/6 mile every day, W

Bumek [7]

Answer:

Step-by-step explanation:

If he jogged $x$ miles every day, and he jogged a total distance of $y$ miles, then he runs for $y/x$ days. This is an extension of the $d=rt$ or distance equals rate times time.

We plug in for y and x to get that he runs for $5~1/3~~/~~1/6$ .

So, the answer is $\boxed{D}$ and we're done!

7 0

2 years ago

Read 2 more answers

Eva and her children went into a restaurant and where they sell hotdogs for $5 each and tacos for $2.50 each. Eva has $30 to spe

Tanzania [10]

Answer:

Step-by-step explanation:

(dont mind my spelling im bad at that)so seeing that one hot dog is 5 dollors

and two hotdogs would cost 10 dollors and that would leave 20 dollors to spend and seeing that one taco is 2 dollors and 50 cents we need to figure out how many times does 2.50 go into 20 which is 8 so eva can buy 8 tacos along with 2 hot dogs

8 0

3 years ago

Read 2 more answers

Can u answer fast please

Gnesinka [82]

C. e

Step-by-step explanation:

$ln( {e}^{e} ) = e ln(e ) = e(1) = e$