A bag has 5 red marbles, 6 blue marbles and 4 black marbles. What is the probability of a blue marble, replacing it, and then picking a black marble?
8/75
4/45
1/9

Answers

Answer 1

Answer: There are 15 total marbles in the bag, of which 6 are blue nd 4 are black.

The probability of pulling a blue marble from the full bag is 6/15 .

The probability of pulling a black marble from the full bag is 4/15 .

The probability of both events happening is

(6/15) x (4/15) = 24/225 = 8/75

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Answers

Answer:

Step-by-step explanation:

$H(t) = 14000(0.8)^(t +3)\n\n = 14000*(0.8)^(t)*(0.8)^(3)\n\n=14000*(0.8)^(t)*0.512\n\n=7168(0.8)^(t)$

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1) (1, negative 5) (5, negative 1) (Negative 1, 5)

Answers

Answer:

B. $(1,-5)$

Step-by-step explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

$y=-7x+2...(1)$

$y=9x-14...(2)$

To solve our given system, we will equate both equations as:

$9x-14=-7x+2$

Combine like terms:

$9x+7x-14+14=-7x+7x+2+14$

$16x=16$

$x=(16)/(16)=1$

Upon substituting $x=1$ in equation (1), we will get:

$y=-7(1)+2\n\ny=-7+2\n\ny=-5$

Therefore, the ordered pair $(1,-5)$ is the solution of the given system and option B is the correct choice.

Answer:

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm its b

Step-by-step explanation:

Given that D(x) = 2x, select all of the following that are true statements. a- D(x) is a function,
b- xis the dependent variable,
c- D(6) = 3,
d- D(x) is a direct variation,
e- D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).

Answers

For D (x) = 2 x:
- x is the independent variable,
- D ( 6 ) = 2 · 6 = 12.
10 = 2 · 5, 12 = 2 · 9, - 4 = 2 · ( - 2 ).
True statements are:
A ) D ( x ) is a function.
D ) D ( x )is a direct variation.
E ) D ( x ) is arule for the set of points ( 5, 10), ( 6, 12 )and ( -2, - 4 ).

Answer:

Step-by-step explanation:

A tank has an opening through which water leaks out. The table below shows the amount of water, in gallons, in the tank after different amounts of time, in hours:What type of association will the scatter plot for this data represent between the number of hours and the amount of water in the tank, in gallons?
A negative nonlinear association
A positive linear association
A positive nonlinear association
A negative linear association

Answers

Answer: A negative linear association

Step-by-step explanation:

From the given table in the picture , it can be seen that as the time is increasing the amount of water in tank decreases, it indicates that there is a negative association between the two variables.

Also, the rate of change in amount of water is constant as 0.5 gallon per hour.

It implies there is a linear association.

Now, the scatter plot for this data represents there is a negative linear association between the number of hours and the amount of water in the tank, in gallons.

It is a negative linear association because it descends at a constant rate of .5 making it linear but the line is going down making it negative

2) Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1 / 4^-2 = ____

Answers

$(1)/(4^(-2))=(1)/(\left((1)/(4)\right)^2)=(1)/((1)/(4^2))=4^2=16$

Answer:

16

Step-by-step explanation:

1/4^-2

Express with a positive exponent

4^2

Evaluate the power

Solution: 16

∵

Solve by completing the square: x^2-2x-1=0

Answers

$(a-b)^2=a^2-2ab+b^2\ (*)\n------------------------------\n\nx^2-2x-1=0\n\nx^2-2x\cdot1=1\n\n\underbrace{x^2-2x\cdot1+1^2}_((*))-1^2=1\n\n(x-1)^2-1=1\n\n(x-1)^2=1+1\n\n(x-1)^2=2\Rightarrow x-1=-\sqrt2\ \vee\ x-1=\sqrt2\n\n\underline{\underline{x=1-\sqrt2\ \vee\ x=1+\sqrt2}}$