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2 years ago

E(t) models the daily amount of energy (in kilojoules, kJ) that a solar panel in Pago Pago generates, t days

Mathematics

1 answer:

jeka57 [31]2 years ago

6 0

Answer:

E(t) models the daily amount of energy (in kilojoules, kJ) that a solar panel in Pago Pago generates, t days

after the autumn equinox. Here, t is entered in radians.

270

E(t) = 624 sin

t + 8736

365

What is the first day after the autumn equinox that the solar panel generates 8400 kJ?

Round your final answer to the nearest whole day.

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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

a wholesaler allows a discount of 25kobo for every 25 naira goods purchased . find the percentage discount allowed.

ZanzabumX [31]

The percentage discount allowed by the wholesaler is 1%

<h3>Percentage</h3>

1 naira = 100 Kobo

25 naira = 25 × 100

= 2500 Kobo

Percentage discount allowed = 25 / 2500 × 100

= 0.01 × 100

= 1%

Therefore, the percentage discount allowed is 1%

Learn more about percentage:

brainly.com/question/843074

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5 0

1 year ago

HELP PLEASEEEEEEEEEEEEEE!! 10 POINTS

zhannawk [14.2K]

Answer:(x+6)(x^2-9)

Step-by-step explanation:

6 0

3 years ago

In a board game, each player must roll a number cube and spin a spinner. The number cube is labeled with the numbers 1 through 6

HACTEHA [7]

Answer:I think the answer is 5/12.

Step-by-step explanation:

Sorry if I am wrong. :) but it should be correct.

4 0

2 years ago

I need help on this.

mote1985 [20]

Let's go:

7 = x

38 + x = 180

x = 180 - 38

x = 142°

7 = 142°

I hope I helped you

5 0

3 years ago