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2 years ago

Which expression is equivalent to (0.23t-0.3)-(0.7t-0.23)

Mathematics

1 answer:

shepuryov [24]2 years ago

6 0

Answer:

8282

Step-by-step explanation:

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The lifetime of a certain type of battery is normally distributed with mean value 15 hours and standard deviation 1 hour. There

KIM [24]

Answer:

If the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1

Sample size = 4

Total lifetime of 4 batteries = 40 hours

We are given that the distribution of lifetime is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1}{\sqrt4} = 0.5$

We have to find the value of x such that the probability is 0.05

P(X > x) = 0.05

$P( X > x) = P( z > \displaystyle\frac{x - 40}{0.5})=0.05$

$= 1 -P( z \leq \displaystyle\frac{x - 40}{0.5})=0.05$

$=P( z \leq \displaystyle\frac{x - 40}{0.5})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 40}{0.5} = 1.64\\x = 40.825 \approx 40.83$

Hence, if the lifetime of batteries in the packet is 40.83 hours or more then, it exceeds for 5% of all packages.

8 0

3 years ago

Practice B

Alona [7]

Answer:

Where did the writer go in holiday

4 0

2 years ago

You roll a standard number cube. Find P(number is not 2).

Morgarella [4.7K]

A standard number cube has 6 sides, and so the numbers are:

1,2,3,4,5,6

P, is any of those numbers that are not 2.

2 is one of the numbers in 6, and so it is 1/6 of the die.

6/6 - 1/6 = 5/6

C) 5/6 is your chance of getting a number that is not 2

hope this helps

7 0

3 years ago

Read 2 more answers

Which are partial products for 68 × 43?

3241004551 [841]

The correct answer is D? Its the only one that makes sense.

6 0

3 years ago

A runner runs a distance of 350 metres in a time of 50 seconds. What is his average speed?

rodikova [14]

Answer:

Average speed = 7 metre per second

Step-by-step explanation:

Average speed ( v ) = distance / time

=》v = 350 / 50

=》v = 7

so, average speed = 7 m / sec

5 0

3 years ago