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uysha [10]
3 years ago
13

There is a red, orange, yellow, green, blue, and purple card placed in a box. (six total, one of each color). You are asked to r

andomly choose a card, replace it in the box, and choose another card. Find P(Yellow, then Blue).
Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

Step-by-step explanation:

P(yellow) = 1/6

P(Blue) = 1/6

The combination in that order is 1/6 * 1/6 = 1/36

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What are he square roots of 36/100?
tiny-mole [99]
The square root of 36/100 is c. -6/10 and 6/10
You can get this by using a calculator.
@[email protected]
4 0
3 years ago
If h(x)= (f o g)(x) and h(x)= 4 √x+7, find g(x) if f(x) = 4 √x+1
stepladder [879]
(f o g)(x)=f(g(x))

so

h(x)=f(g(x))
4\sqrt{x+7}=4\sqrt{g(x)+1}
hmm, see the differences

x+7=g(x)+1

x+6=g(x)
g(x)=x+6
6 0
3 years ago
Please help with 7-9 they are related to the same circle
Andrej [43]

40º

7) In this problem, we can see that both tangent lines to that circle come from the same point O.

So, we can write out the following considering that there is one secant line DO and one tangent line to the circle AO

\begin{gathered} m\angle1=\frac{1}{2}(160-80) \\ m\angle1=\frac{1}{2}(80) \\ m\angle1=40^{\circ} \end{gathered}

3 0
1 year ago
Wich relation is a function of x
faust18 [17]

Answer:

the first one

Step-by-step explanation:

In the other 2 i can see the x repeats itself meaning it isn't a function.

7 0
3 years ago
When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
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