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3 years ago

How do i solve this chart

Mathematics

2 answers:

marta [7]3 years ago

3 0

Alright so filling in the chart isnt too hard. First subtract 18 from 25 which gets you 7 for no traffic citations, because 18+7=25, so it makes sense to fill in the gap for no traffic citations. 1st column done.

Shtirlitz [24]3 years ago

3 0

I give the cells on the table numbers. See image attached. There area box 1 to 9.

We count the lower part first.
Find box 8
Solve using horizontal cells
box 7 + box 8 = box 9
25 + box 8 = 50
box 8 = 50 - 25
box 8 = 25

Find box 6
Solve using horizontal cells
box 4 + box 5 = box 6
18 + 5 = box 6
box 6 = 23

Find box 1
Solve using vertical cells
box 1 + box 4 = box 7
box 1 + 18 = 25
box 1 = 25 - 18
box 1 = 7

Find box 2
Solve using vertical cells
box 2 + box 5 = box 8
box 2 + 5 = 25
box 2 = 25 - 5
box 2 = 20

Find box 3
Solve using vertical cells
box 3 + box 6 = box 9
box 3 + 23 = 50
box 3 = 50 - 23
box 3 = 27

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Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys

il63 [147K]

Answer:

a) $P(x)=-0.042x^2+530x-18000$

b) $P'(x)=-0.084x+530$

$P'(4000)=194$

$P'(9500)=-268$

Step-by-step explanation:

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

$P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000$

This is the profit function.

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

$\frac{d}{dx}(x^n)=nx^{n-1}$

Now, we differentiate the profit function to get the marginal profit function (P'):

$P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530$

This is the marginal profit function , P'.

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

$P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194$

and

$P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268$

6 0

3 years ago

The difference of 7 and the product of 4 and a is 11

BlackZzzverrR [31]

Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.

Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3

3 0

2 years ago

Read 2 more answers

The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

2 years ago

Pattern A follows the rule "add 3" and Pattern B follows the rule "add 4." Pattern A 1 4 7 10 13 Pattern B 5 9 13 17 21 Which or

IceJOKER [234]

Answer:

(1,5) (7,13) (10,17) (7,13)

Step-by-step explanation:

1 4 7 10 13

5 9 13 17 21

6 0

1 year ago

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.

Andru [333]

Answer:

Nate made a mistake. He should have got 24 as Least common factor.

Step-by-step explanation:

Given number are 8 and 12.

To find the GCF or LCF we have to list multiples.

For LCF

List the multiples of each number until at least one of the multiples appears on all lists.
Find the smallest number that is on all of the lists.
This number is the LCM.

For GCF

List the multiples of each number until at least one of the multiples appears on all lists.
Find the Biggest number that is on all of the lists.
This number is the GCF

The least common multiple of 8 and 12 is 24.

The Greatest common multiply of 8 and 12 is 4.

Hence, Nate is wrong. Nate should have found 24.

[RevyBreeze]

7 0

2 years ago