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2 years ago

What is the 185th digit in the following pattern 12345678910111213141516

Mathematics

1 answer:

Delicious77 [7]2 years ago

5 0

Answer:

The 185th digit following that pattern of '12345678910111213141516' would be the number '5'

Step-by-step explanation:

The reason the 185th digit is '5' is because the pattern increases it's standard number by the following number (ex, 1,2,3,4,5, etc), and eventually it reached 185 as one of it's numbers, '5' would be the digit because the '18' part of 185 would only be the 184th digit, hence you are needed to include the '5' to complete the sequence of that number to reach the 185th digit.

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Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of

Gelneren [198K]

Answer:

$P(X < 24 )= 21.186\%$

$x = 19.78 \ months$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 26 \ months$

The standard deviation is $\sigma = 4 \ months$

Generally 2 year is equal to 24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

$P(X < 24 )= P(\frac{X - \mu }{ \sigma} < \frac{24 - 26}{4} )$

Generally $\frac{X - \mu}{\sigma } =Z (The \ standardized \ value \ of \ X )$

$P(X < 24 )= P(Z < -0.8 )$

Generally from the z-table

$P(Z < -0.8) = 0.21186$

$P(X < 24 )= 0.21186$

Converting to percentage

$P(X < 24 )= 0.21186 * 100$

=> $P(X < 24 )= 21.186\%$

Generally the duration that should be the guarantee period if Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

$P(X < x) = P(\frac{X - \mu }{\sigma} < \frac{x - 26}{4} )= 0.06$

=> $P(X < x) = P(Z < \frac{x - 26}{4} )= 0.06$

From the normal distribution table the z-score for 0.06 at the lower tail is

$z = -1.555$

$\frac{x - 26}{4} = -1.555$

=> $x = 19.78 \ months$

6 0

2 years ago

Write a power that has a value greater than 340 and less 345

valina [46]

For this case we must write a power between (340,345)

We chose 343.

We divide the number until we get an exact division:

$\frac {343} {2} = 171.5\\\frac {343} {3} = 114.3\\\frac {343} {4} = 85.75\\\frac {343} {5} = 68.6\\\frac {343} {6} = 57.17\\\frac {343} {7} = 49\\$

So we have:

$7 ^ n = 343\\n = 3$

So, the power is:

$7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343$

ANswer:

$7 ^ 3 = 7 * 7 * 7 = 49 * 3 = 343$

6 0

2 years ago

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If →u and →v are the vectors below, find the vector →w whose tail is at the point halfway from the tip of →v to the tip of →v−→u

S_A_V [24]

Û = (-1, -1, -1)
^v = (2, 3, -5)
^v - û = (2 + 1, 3 + 1, -5 + 1) = (3, 4, -4)
Half way from ^v to ^(v - u) = ((3 - 2)/2, (4 - 3)/2, (-4 + 5)/2) = (1/2, 1/2, 1/2)
Halfway from û to ^v = ((2 + 1)/2, (3 + 1)/2, (-5 + 1)/2) = (3/2, 2, -2)

The required vector ^w = ((3/2 - 1/2), (2 - 1/2), (-2 - 1/2)) = (1, 1/2, -5/2)

5 0

2 years ago

Lyle graphs triangle ABC on coordinate axes. He performs two transformations on this figure that result in the congruent triangl

Shtirlitz [24]

Answer:

a rotation 90˚ clockwise and then a reflection across the y-axis

Step-by-step explanation:

I'm doing the test right now

3 0

1 year ago

The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units. A sphere has a radius of x units. What is the val

Tpy6a [65]

Answer:

(b) Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere = $(\frac{500}{3})\pi$ cubic units ... (1)

Also, radius of the sphere = x units

Now, VOLUME OF SPHERE = $(\frac{4}{3}) \pi r^3$

So, volume of a sphere with radius x = $(\frac{4}{3}) \pi (x)^3$

But volume of sphere is given by (1).

$\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3}) \times (\frac{3}{4}) = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x = 5$

Hence, radius of the sphere = 5 units.

4 0

2 years ago

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