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3 years ago

5

Of the 25 fish in a tropical fish tank, 10 are guppies, 4 are swordtails, and the rest are tetras. One fish is to be randomly se

lected from the fish tank. What is the probability that the fish selected will not be a guppy?

1 answer:

klio [65]3 years ago

5 0

There are 10 guppies, so we do 25-10
Which equals to 15
Answer is 3/5

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In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets

AnnZ [28]

Answer:

$Probability = \frac{243}{1024}$

Step-by-step explanation:

Given

$Sum = \{7, 11, 12\}$

$Rolls = 5$

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

$Outcomes = 36$

$Sum\ of\ 7 = 6$

$Sum\ of\ 11 = 2$

$Sum\ of\ 12 = 1$

So, in a single roll; The probability of getting audited is:

$p= \frac{1 + 2 + 6}{36}$

$p= \frac{9}{36}$

$p= \frac{1}{4}$

The probability of not getting audited in a single roll is:

$q = 1 - p$ --- Complement rule

$q = 1 - \frac{1}{4}$

Take LCM

$q = \frac{4 - 1}{4}$

$q = \frac{3}{4}$

The probability of not getting audited in 5 rolls is:

$Probability = q^5$

$Probability = (\frac{3}{4})^5$

$Probability = \frac{3^5}{4^5}$

$Probability = \frac{243}{1024}$

7 0

3 years ago

Simplify: (−2a2b) • (4a5b2)<br> please can someone help!

xz_007 [3.2K]

Hey there hope this helps you out

5 0

3 years ago

If the 9-inch wheel of cheese costs $18.60, what is the cost per square inch? If the cost is less than a dollar, put a zero to t

vagabundo [1.1K]

Find the area of the wheel:

Area of a circle is found using the formula:

Area = PI x r^2

9 inch would be the diameter, so the radius would be 9/2 = 4.5 inches.

The area would be 3.14 x 4.5^2 = 63.6 square inches.

Now divide the price by the area to get price per square inch:

Cost per square inch = 18.60 / 63.6 = $0.29 (rounded to the nearest cent)

5 0

3 years ago

Read 2 more answers

Select all sets that contain the number 0.484848.

Yuki888 [10]

0.484848 . . . . .

<span>A. Integer . . . no, it's not
B. Irrational . . . no, it's not
C. Natural. . . no, it's not
D. Rational . . . Yes ! It is !
E. Whole</span> . . . no, it's not

4 0

3 years ago

Hi boys can you help me pls!!!!!!!

goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

$h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}$

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

$x=\frac{-b}{2a}$

In this case:

$a=-\frac{1}{4}\\\\b=\frac{1}{2}$

Then, substituting values, you get:

$x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1$

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

$h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75$

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0

3 years ago