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bagirrra123 [75]
3 years ago
15

in a bag of marbles you have three green, two yellow, six blue, and nine red marbles. what is the probability of picking a yello

w marble from the bag?
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0
The answer is 1/10.

There are in total 20 marbles in the bag:
3 green + 2 yellow + 6 blue + 9 red = 20 marbles

There are 2 yellow marbles of total 20 marbles. 2 of 20 can be expressed as:
2/20 = 1/10.

Therefore, <span>the probability of picking a yellow marble from the bag is 1/10.</span>
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12xy-44y+5 determine if it is prime or factorable
Elza [17]

PrimeAnswer:

Step-by-step explanation:

8 0
3 years ago
GIVING 30 POINTS
FromTheMoon [43]

Answer:

A. 502.4 cm^3

Step-by-step explanation:

r=8/2=4  cm

V=pi*r^2*h=3.14*16*10=502.4 cm^3     (A)

7 0
3 years ago
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Design a sine function with the given properties:
Rom4ik [11]

Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
3 years ago
determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to
kolezko [41]

We are given the following quadratic equation

f(x)=2x^2+7x-10

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

h=-\frac{b}{2a}

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75

The y-coordinate of the vertex is given by

\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

(-1.75,-16.13)

7 0
1 year ago
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Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Maksim231197 [3]

Answer:

y = -17/2

Step-by-step explanation:

Substitute with the givens.

30= 8(8) + 4y.

Multiply parentheses.

30 = 64 + 4y

Subtract.

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Divide each side by 4.

y = - 8.5, or -17/2

hope that is right!

8 0
3 years ago
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