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3 years ago

Analyze the diagram below and complete the instructions that follow. find sin angle C

Mathematics

1 answer:

tia_tia [17]3 years ago

5 0

the answer is A ;

sin = opposite/ hypotenuse

= 24/ 26 ( we need to simplify it)

= 12/13

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In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of drawing a blue ball is 1/3, what is t

Scorpion4ik [409]

Step-by-step explanation:

I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).

tricky, your teacher.

I think the temptation is to simply say 1/3×1/3 = 1/9.

but is it ?

the probabilty to draw one blue ball out of the complete system (no ball missing) is

x / (6+4+x) = 1/3

x = (6+4+x)/3

3x = 6 + 4 + x = 10 + x

2x = 10

x = 5

so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .

the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.

but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).

and so the probability to draw a blue ball out of this is

4/14 = 2/7.

therefore, the probability to draw 2 blue balls is now the combination

1/3 × 2/7 = 2/21

aha ! so, it is a little bit less than the originally suspected probability of 1/9.

5 0

3 years ago

In Exercise, find the derivative of the function.<br> y = 3ex - xex

nevsk [136]

Answer:

the question is incomplete, the complete question is "find the derivative of the function $y=3e^{x}-xe^{x}$ "

answer: $\frac{dy}{dx}=(2-x)e^{x}$ .

Step-by-step explanation:

From the equation, $y=3e^{x}-xe^{x}$ , we approach the question using the differentiation of a product and differentiation of a sum simultaneously,

the differentiation of a sum is express as

f(x)=u(x)+v(x)+.....w(x) then

$\frac{df(x)}{dx}=\frac{du(x)}{dx}+\frac{dv(x)}{dx}+...\frac{dw(x)}{dx}.\\$

For the differentiation of a product we have

f(x)=u(x)v(x), then

$\frac{df(x)}{dx}=\frac{dv(x)}{dx}u(x)+\frac{du(x)}{dx}v(x)$

hence if we go by the formula we arrive at

for $y=3e^{x}$

let u(x)=3 hence du/dx=0 and

$v(x)=e^{x}$ and $\frac{dv(x)}{dx}=e^{x}$

hence $\frac{dy}{dx}=3e^{x}+0e^{x}\\\frac{dy}{dx}=3e^{x}---equation 1\\$

Also for $y=-xe^{x}\\\frac{dy}{dx}=-e^{x}-xe^{x}---equation 2$ .

if we add equation 1 and equation 2 we arrive at

$\frac{dy}{dx}=3e^{x}-e^{x}-xe^{x}\\\frac{dy}{dx}=(3-1-x)e^{x}\\\frac{dy}{dx}=(2-x)e^{x}$ .

4 0

3 years ago

Professor Green is interested in determining the average SAT score for the entire population of individuals who took the SAT. Sh

Dvinal [7]

Answer:

Descriptive statistics

Explanation:

The population average is a descriptive statistic. It informs about how the population looks like, in this case, the population looks like having a average of 1000.

If, using her class's average where to infer the population average that is inferential statistic. But that is not the case

7 0

4 years ago

H Н

levacccp [35]

A and b are not true because

7 0

3 years ago

Which is the graph of f(x)=x^2-2x+3

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Hello, the vertex is (1,2), right?

You remember that when the parabola equation is in standard form like below

$y=ax^2+bx+c$

The vertex is for , and we apply with this example where a = 1, b = -2, c=3

$x=-\dfrac{b}{2a}=\dfrac{-(-2)}{2}=1\\\\1^2-2*1+3=4-2=2$

So this is the first graph.

Thank you

3 0

4 years ago