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4 years ago

Can someone please help me? I don’t understand this

Mathematics

1 answer:

vekshin14 years ago

3 0

Answer:

[see below]

Step-by-step explanation:

Substitute the given value into the function and then solve.

$f(x)=6x\\\\f(-7)=6*-7\\\\\boxed{f(-7)=-42}$

$f(x)=6x\\\\f(-1)=6*-1\\\\\boxed{f(-1)=-6}$

$f(x)=6x\\\\f(1)=6*1\\\\\boxed{f(1)=6}$

$f(x)=6x\\\\f(7)=6*7\\\\\boxed{f(7)=42}$

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Specify what an individual unit is in each of the following studies. Then specify what two variables were measured on each unit.

r-ruslan [8.4K]

Answer:

a) Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) Unit: SUV cars

Variables: Manufacturing and car damage for two car manufactures.

Step-by-step explanation:

We are given the following in the question:

In a research, a unit is a single individual or object that is measured.

a) A study finds that college students who often procrastinate tend to be sick more often than students who do not procrastinate.

Since college students are asked about procrastination, then the unit in this study is college students.

Unit: College Student

Variables of measurement: Procrastination and illness habits.

b) A study finds that sport utility vehicles (SUVs) made by one car manufacturer tend to be more heavily damaged in a crash test than SUVs made by a second car manufacturer.

Since all SUVs cars are considered, the unit in this research is SUV cars

Unit: SUV cars

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3 years ago

Help, i've been trying for around 30mins and I can't figure it out.

omeli [17]

Answer:

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Step-by-step explanation:

As,

$2 \sqrt{75} + 3 \sqrt{50}$

$= 2 \sqrt{25 \times 3} + 3 \sqrt{25 \times 2} (A)$

$= 2 \times 5 \sqrt{3} + 3 \times 5 \sqrt{2}$

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3 years ago

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Answer:

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3 years ago

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riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

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3 years ago

Wholemark is an internet order business that sells one popular New Year greeting card once a year. The cost of the paper on the

erma4kov [3.2K]

Answer:

The optimal production quantity is 9,322 cards.

Step-by-step explanation:

The information provided is:

Cost of the paper = $0.05 per card

Cost of printing = $0.15 per card

Selling price = $2.15 per card

Number of region (n) = 4

Mean demand = 2000

Standard deviation = 500

Compute the total cost per card as follows:

Total cost per card = Cost of the paper + Cost of printing

= $0.05 + $0.15

= $0.20

Compute the total demand as follows:

Total demand = Mean × n

= 2000 × 4

= 8000

Compute the standard deviation of total demand as follows:

$SD_{\text{total demand}}=\sqrt{500^{2}\times 4}=1000$

Compute the profit earned per card as follows:

Profit = Selling Price - Total Cost Price

= $2.15 - $0.20

= $1.95

The loss incurred per card is:

Loss = Total Cost Price = $0.20

Compute the optimal probability as follows:

$\text{Optimal probability}=\frac{\text{Profit}}{\text{Profit+Loss}}$

$=\frac{1.95}{1.95+0.20}\\\\=\frac{1.95}{2.15}\\\\=0.9069767\\\\\approx 0.907$

Use Excel's NORMSINV{0.907} function to find the Z-score.

<em>z</em> = 1.322

Compute the optimal production quantity for the card as follows:

$\text{Optimal Production Quantity}=\text{Total Demand}+(z\times SD_{\text{total demand}}) \\$

$=8000+(1.322\times 1000)\\=8000+1322\\=9322$

Thus, the optimal production quantity is 9,322 cards.

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3 years ago