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3 years ago

Is the right answer is 110

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer: 140

Step-by-step explanation:

Angles 3 and 4 have equivalent degree values. Set them equal to each other: x + 30 = 2x - 80

Solve for x: add 80 to both sides

x + 110 = 2x

Then subtract x from both sides

110 = x. This is x, not the final answer. The question asks for the measure of angle 3.

To get the measure of angle 3, plug in 110 for x.

Instead of x + 30, calculate 110 + 30.

So, angle 3 is 140 degrees.

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The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie

Fittoniya [83]

Answer:

The confidence interval is $25.16 < \mu < 26.85$

Step-by-step explanation:

From the question we are given a data set

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

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where is the sample size with values n = 10

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substituting values

$= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }$

$\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }$

$\sigma = 1.625$

The confidence level is given as 90% hence the level of significance is calculated as

$\alpha = 100 -90$

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$\alpha = 0.10$

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$Z_{\frac{\alpha }{2} } = 1.645$

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The margin of error is evaluated as

$MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$MOE = 1.645 * \frac{1.625 }{\sqrt{10} }$

$MOE = 0.845$

The 90%, two sided confidence interval is mathematically evaluated as

$\= x - MOE < \mu < \= x + MOE$

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$25.16 < \mu < 26.85$

Given that the lower and the upper limit is greater than 25 then we can assure the manufactures that the battery life exceeds 25 hours

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3 years ago

Please help tysmmm for your help guys number 16

evablogger [386]

Answer:

x = 6

Step-by-step explanation:

Hello!

x + 22 is equal to the sum of 5x - 6 and 4.

<h3>Solve for x</h3>

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The value of x is 6.

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2 years ago