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2 years ago

Round to the nearest 100 438.7

Mathematics

1 answer:

Masja [62]2 years ago

5 0

Answer:

400

Step-by-step explanation:

438.7

438.7 to the nearest 100 is 400

300, 350, 400, 450, 500

Hope this helps!

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A 60 room hotel is filled to capacity every night at a rate of $40 per room. The management wants to determine if a rate increa

Oxana [17]

Answer: to maximize profit the management must continue charging $40 per room because it will obtain a profit of $1,920 better than $1,870 if it rises the rate.

Step-by-step explanation:

Profit without the increase

60 (number of rooms) * $40 (rate per room) = $ 2,400

costs of day to service = 60 (rooms) * $8 (costs day to service)= $480

Total Profit = $2,400 - $480 = $1,920

Profit with the increase

55 (5 fewer than before) * 42 (rate with the increase) = $ 2,310

costs of day service 55 (rooms) * 8 ( costs day to service) = $440

Total Profit = $2,310 -$440 = $1,870

7 0

2 years ago

Find (f•f) (0) F(x)=3x-2

NNADVOKAT [17]

Answer: (f·f)(0) = 4

(fof)(0) = -8

Step-by-step explanation:

f(x) = 3x - 2

(f·f)(x) = (3x - 2)(3x - 2)

= 9x² - 12x + 4

(f·f)(0) = 9(0)² - 12(0) + 4

= 4

(fof) = 3(3x - 2) - 2

= 9x - 8

(fof)(0) = 9(0) - 8

= -8

I wasn't sure if you wanted multiplication or composition so I solved both

5 0

3 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

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

Formula:

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

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

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

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0

3 years ago

The sign of the product of -35 and -625 is positive, negative, or zero

IRISSAK [1]

Answer:

Positive

Step-by-step explanation:

The product of two negative numbers has a positive sign, whereas the product of a positive and a negative number is negative.

Since -35 and -625 are both negative, they would have a positive sign for their product.

Hope this helps.

7 0

3 years ago

If f(x)=1/2 x-6 what is the equation for f–1(x)?

Mumz [18]

I hope this helps you

5 0

3 years ago

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