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3 years ago

What is the value of x?

Mathematics

1 answer:

Neporo4naja [7]3 years ago

5 0

11.313708499

Answer:

11.313708499=16

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Let z = 19 + i and w = 4 + 10i.

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Answer:

C) Apply the distributive property

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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.

The mean of the this sample data is

$\= x = \frac{\sum x_i}{n}$

where is the sample size with values n = 10

$\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}$

$\= x = 26$

The standard deviation is evaluated as

$\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }$

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

$\alpha = 100 -90$

$\alpha =10$ %

$\alpha = 0.10$

Now the critical values of $\frac{\alpha }{2}$ is obtained from the normal distribution table as

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

The reason we are obtaining the critical values of $\frac{\alpha }{2}$ instead of $\alpha$ is because we are considering two tails of the area under the normal curve

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

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

$26 - 0.845 < \mu < 26 + 0.845$

$25.16 < \mu < 26.85$

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

Solve the formula A = one-halfbh for h

garik1379 [7]

Answer:

$\frac{2A}{b} = h$

Step-by-step explanation:

We start with the equation $A = \frac{1}{2} bh$ . First, we multiply both sides by $2$ .

$2A = bh$

Next, we divide both sides by $b$ to get our answer:

$\frac{2A}{b} = h$

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3 years ago

Jer saw 91 squirrels and 1⁄3 as many chipmunks. Which of the following is a good estimation of how many more squirrels he saw th

boyakko [2]

60 more squirrels is the answer because sine its an estimate, 91 turns into 90
therefore u have
90 squirrels and 1/3 as many chipmunks
1/3 of 90 is 30
90 - 30 = 60
Your answer is 60 more squirrels

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Jack and three of his friends

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Answer:

Step-by-step explanation:

Just divide by 4

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