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3 years ago

HELP ME PLEASE I WILL MAKE U BRAINLIEST

Mathematics

2 answers:

8090 [49]3 years ago

7 0

Answer:

Step-by-step explanation:

Given that the graph shows the normal distribution of the length of similar components produced by a company with a mean of 5 centimeters and a standard deviation of 0.02 centimeters.

A component is chosen at random, the probability that the length of this component is between 4.98 centimeters and 5.02

=P(|z|<1) (since 1 std dev on either side of the mean)

=2(0.3418)

=0.6826

=68.26%

The probability that the length of this component is between 5.02 centimeters and 5.04 centimeters is

=P(1<z<2) (since between 1 and 2 std dev from the mean)

=0.475-0.3418

=0.3332

=33.32%

Vladimir [108]3 years ago

3 0

Answer:

the first one is .6826%

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The first term in a geometric sequence is 54, and the 5th term is 2 / 3. Find an explicit form for the geometric sequence.

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Answer: $ar^{n-1}=54(\dfrac{1}{3})^{n-1}$

Step-by-step explanation:

The nth term for a geometric sequence is given by :-

$a_n=ar^{n-1}$ (1)

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Put n=5 and a= 54 in (1), we get

$a_5=(54)r^{4}=$ (3)

From (2) and (3), we have

$\Rightarrow(54)r^{4}=\dfrac{2}{3}\\\\\Rightarrow r^4=\dfrac{2}{3}\times\dfrac{1}{54}=\dfrac{1}{3\times27}=\dfrac{1}{81}\\\\\Rightarrow\ r=(\dfrac{1}{81})^{\frac{1}{4}}=\dfrac{1}{3}$