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sergiy2304 [10]
2 years ago
9

Study the equations:

Mathematics
2 answers:
Alexxx [7]2 years ago
7 0
H(x) = (6x + 7)(4x - 2)

Use FOIL Method (First, Outer, Inner, Last)

h(x) = 24x^2 - 12x + 28x - 14

Combine like terms.

h(x) = 24x^2 - 16x - 14
Mamont248 [21]2 years ago
4 0

Answer:

h(x)=24X^2+40x+14

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VladimirAG [237]

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salary based on how many sales are made

Step-by-step explanation:

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3 years ago
Find the area occupied by the base of a cylindrical bowl if the base is 9 cm?​
Andru [333]

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is it radius or diameter?

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I need help with this ASAP
vodomira [7]

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2 years ago
Read 2 more answers
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

5 0
3 years ago
The density of a fish tank is 0.3fish over feet cubed. There are 15 fish in the tank. What is the volume of the tank?
Sedbober [7]
15 fish* (1 ft^3/ 0.3 fish)= 50 ft^3.
(Note that the unit cancels out so you get the answer)

The volume of the tank is 50 ft^3~
4 0
3 years ago
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