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4 years ago

Solve for f pleaseeeee

Mathematics

1 answer:

KonstantinChe [14]4 years ago

7 0

Answer:

$\frac{3}{5}f = 4-2m\\ f= \frac{(4-2m) X 5}{3} \\f= \frac{20-10m}{3}$

P.S. If u want a numerical value for 'f' , now put the value of 'm'

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How to make 20/12 into a whole number and a fraction?

Ludmilka [50]

Hey there,

The whole number(or mixed fraction) would be: 1 2/3

The improper fraction would be: 5/3

6 0

4 years ago

Read 2 more answers

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

vitfil [10]

Answer:

a) $P(2.9$

And we can find this probability with the following difference:

$P(-1$

b) $P(2.9$

And we can find this probability with the following difference:

$P(-3.5$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the diameters of a population 1, and for this case we know the distribution for X is given by:

$X \sim N(3,0.1)$

Where $\mu=2$ and $\sigma=0.1$

We are interested on this probability

$P(2.9$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(2.9$

And we can find this probability with the following difference:

$P(-1$

Part b

$X \sim N(3.04,0.04)$

$P(2.9$

And we can find this probability with the following difference:

$P(-3.5$

4 0

3 years ago

The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poste

hammer [34]

Answer:

Dimensions of the poster

Width 29.10 cm

Height 38.80 cm

A(min) = 1129.08 cm²

Step-by-step explanation:

Printed area = 390 cm² = Ap

Lets call x and y dimensions of printed area

x width

y height

Then Ap = x*y and

y = Ap/x ⇒ y = 390/x

Then total area of the poster is:

A(t) = ( x + 12 ) * ( y + 16 ) and y = 390/x

A as a function of x

A(x) = ( x + 12 ) * ( 390/x + 16 ) ⇒ A(x) = 390 + 16x + 4680/x + 192

A(x) = 582 + 16x + 4680/x (1)

Taking derivatives

A´(x) = 16 - (4680/x²) ⇒ A´(x) = 0

[ 16x² -4680] /x² = 0 16x²- 4680 = 0 ⇒ x² = 4680/16

x = 17.10 cm and y = 390/x y = 390/17.10 y = 22.80 cm

A(t) = ( 17.10 + 12 ) * ( 22.80 + 16 )

A(t) = 29.10 * 38.80

A(t) = 1129.08 cm²

If we substitute in equation (1) the value of x ( 17.10) we see A(x) > 0

Then there is a minimun at the point x = 17.10

4 0

4 years ago

1. Suppose a pepperoni pizza should bake 7 minutes longer than a plain pizza. a. If a small plain pizza should bake for 12 minut

Black_prince [1.1K]

Answer:

19 min for the small pizza

Step-by-step explanation:

just add 12+7 also no idea what the other one is sorry!

5 0

3 years ago

Factor completely.<br> 81x^2+180x+100=

andriy [413]

Answer:

(9x+10)(9x+10)

Step-by-step explanation:

Factor 81x^2+180x+100

81x^2+180x+100

=(9x+10)(9x+10)

4 0

3 years ago