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3 years ago

Find fractional notation for the infinite sum (these are geometric series) 0.1919191919

1 answer:

8 0

Let x = 0.191919...
Now, we want to find some sort of relationship with x and 0.191919...

If we multiply x by 100, we get:
$100x = 19.19191919...$

Now, it's clear that the decimal places will cancel when we subtract it:
$100x - x = 19.19191919... - 0.19191919...$
$99x = 19$

Solving for x, we get:
$x = \frac{19}{99}$

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Carlos owns an orchard. His apple trees produced 315 bushels of apples. Each bushel of apples weighs about 48 pounds. There are

Anna71 [15]

If
1 bushel = 48 pounds
and 1 pound = 3 apples
48 pounds = x apples cross multiply
x apples = 48 X 3 ==> 144 apples
1 bushel = 144 apples (because 48 pounds = 1 bushel)
315 bushel = x apples
x apples = 144 X 315
x = 45360 apples

3 0

3 years ago

Perform the indicated operation and write the answer in the form a + bi.<br> (3 +81) (4-3i)

kkurt [141]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: 36 + 23 i$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: (3 + 8i)(4 - 3i)$

$\qquad \tt \rightarrow \: (3 \sdot 4)+ (3 \sdot - 3i) + (8i \sdot4) + (8i \sdot - 3i)$

$\qquad \tt \rightarrow \: 12 - 9i + 32i - (24 {i}^{2} )$

$\qquad \tt \rightarrow \: 12 + 23i -( 24 \sdot - 1)$

$\qquad \tt \rightarrow \: 12 + 23i + 24$

$\qquad \tt \rightarrow \: 36 + 23i$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0

2 years ago

Read 2 more answers

Match the number (1-5) of each coordinate pair with the corresponding letter of the point from the graph.

lara [203]

1--> A
2 --> D
3 --> F
4 --> G
5 -->H

7 0

3 years ago

Read 2 more answers

If triangle EFG is shifted ten units to the left, what are the new coordinates of vertex E?

jenyasd209 [6]

Answer:

(-13,2)

Step-by-step explanation:

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3 years ago

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The weight at birth of males has a mean value of 3.53 kg with a standard deviation of 0.58. What birth weight has a z-score of

Serga [27]

Answer:

A birth weight of 3.9998kg has a z-score of 0.81.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 3.53, \sigma = 0.58$