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Mandarinka [93]
2 years ago
9

A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 4 cm wide, and 15 cm tall. If the company

used 5100 cm of wax, how many candles did they make?
Mathematics
2 answers:
faust18 [17]2 years ago
8 0

Answer:

idk do you know this is a hard one

Step-by-step explanation:

inessss [21]2 years ago
7 0

Answer:

5100 cm of wax will make 17 candles

Step-by-step explanation:

Each candle is 5 cm long, 4 cm wide, and 15 cm tall

to know the space they cover, we divide it with their volume and since they are in rectangular prism

Volume is length x width x height

5 x 4 x 15 = 20 x 15 = 300cm

1 candle = 300cm

what number of candle is represented as x

1 candle comprises of  300cm wax

x = 5100

300x = 5100 x 1 =5100

300x= 5100

x= 5100/300 = 17

5100 cm of wax will make 17 candles

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[(4096)⁰]⁻⁴ = (4096)⁰ = 1

OPTION D

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The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50
Natali5045456 [20]

Answer:

(a) See Explanation

(b) \bar x =50 and \sigma_x = 0.8944

(c) The shape is normal

(d) P(\bar x > 55) = 0

Step-by-step explanation:

Given

\mu = \$50 -- mean

\sigma = \$20 --- standard deviation

n=500 --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

\bar x =\mu

\bar x =50

The sample standard deviation is calculated as thus:

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{20}{\sqrt{500}}

\sigma_x = \frac{20}{22.36}

\sigma_x = 0.8944

Solving (c): The shape of the distribution.

We have:

n = 500 --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

<em>Hence, the shape is normal</em>

Solving (d): P(\bar x \ge 55)

Calculate the test statistic (t)

t = \frac{\bar x - \mu}{\sigma}

t = \frac{55 - 50}{0.8945}

t = \frac{5}{0.8945}

t = 5.590

So:

P(\bar x > 55) = P(t > 5.590)

Referencing the z table, we have:

P(t > 5.590) = 0

Hence:

P(\bar x > 55) = 0

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3 years ago
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lara31 [8.8K]

Answer:

A

Step-by-step explanation:

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asmine left the house at 7.10 am to go to work. She gets back at 6.35 pm. How long is she out of the house?
ratelena [41]

Answer: 11 hours and 25 minutes


Step-by-step explanation:

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Sorry if you didnt under stand my explanation.

8 0
3 years ago
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