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3 years ago

Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?

Mathematics

2 answers:

Dmitry [639]3 years ago

7 0

Answer: $\dfrac{3}{7}$

Step-by-step explanation:

From the given table, the total number of flowers = 315

The total number of yellow flowers = 135

Then , if a flower is picked at random, the probability of getting a yellow flower is given by :-

$\text{P(Yellow)}=\dfrac{\text{Number of yellow flowers}}{\text{Total number of flowers}}\\\\\text{P(Yellow)}=\dfrac{135}{315}=\dfrac{3}{7}$

Therefore, the probability of getting a yellow flower is $\dfrac{3}{7}$

Westkost [7]3 years ago

3 0

Answer 50:50

If you add 105 and 210 together you get 315 which is equal to the number of yellow flowers alone

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An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

Examine these points on line u and line v. Line u: (9, –8), (5, 4) Line v: (4, 2), (7, –7) How many points of intersection are t

musickatia [10]

Answer:

The line u and line v have no point of intersection because they are parallel lines

Step-by-step explanation:

The slope of a straight line is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The slope of line u is (4 - (-8))/(5 - 9) = -3

The equation for line u is y - 4 = -3*(x - 5)

y = -3·x + 15 + 4 = 19 - 3·x

The slope for line v is (-7 - 2)/(7 - 4) = -3

The equation for the line v is y - 2 = -3*(x - 4)

∴ y = -3x + 12 + 2 = -3x + 14

y = 14 - 3·x

Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect

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3 years ago

Need assistance with algebra 2

crimeas [40]

Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

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2 years ago

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Aleksandr-060686 [28]

Answer:

the tan of 36° = 0.726

Step-by-step explanation:

if you go on your calculator an press tan then 36 it gives you the answer

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