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lara [203]
3 years ago
12

Need help on #6 step by step I'm so confused how this works I always get stuck

Mathematics
1 answer:
inna [77]3 years ago
6 0
To find the variable x, set the two outside equations equal to each other because all sides are equal
x+13=3x+3
13=2x+3
10=2x
x=5

then to find h, you set the equation equal to 90 because that's how many degrees it is
2h-45=90
2h=135
h=67.5
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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h
ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

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7 0
1 year ago
Write each fraction in simplest form 18 divided by 9
defon

well it would be 18/9 and that would simplify to 2 because if u divide both by 9 u get 2/1 which is 2

6 0
3 years ago
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Given the following diagram, find the required measure.
Zielflug [23.3K]

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

∠ 5 and ∠ 2 are alternate angles and congruent , thus

∠ 5 = 40°

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