Ask question

Ask question

All categories

3 years ago

8

Eleven purple marbles, seven orange marbles and two pink marbles are in a bag. What is the probability of selecting a purple mar

ble, not replacing it, and then selecting an orange marble?
Question 4 options:

19%

20%

21%

22%

1 answer:

Anna [14]3 years ago

6 0

Answer:

19%

Step-by-step explanation:

You might be interested in

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

Can a chord also be classified as a radius?

klemol [59]

No.

A chord is a straight segment that joins two points of the circumference. It starts at a point in the circumference and ends at other point in the circumference.

The radius goes from the center of the circle (which is not on the circumference) to one point of the circumference.

The diameter is a chord (the largest chord possible); but not the radius.

5 0

3 years ago

Read 2 more answers

Need help on this question. Will give brainliest

Llana [10]

Answer: C

Step-by-step explanation:

Bcuz when its square it results to something known as the perfect square trinomial. Thats the way i learned it. Ion know if u learned it the same way pero i hope this helps.

3 0

3 years ago

If f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?

alexgriva [62]

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

= 2(x-3/x) + 1

= 2x -6 /x +1

= 2x-6 +x/x

= 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

= 3x-6/x + 3

= 3x-6+3x/x

= 6x-6/x

So, Option B is correct.

6 0

4 years ago

Solve the inequality n+3<-7

Aliun [14]

Answer:

Step-by-step explanation:

n<-7-3

n<-10

=> n= (-infinitive ; -10)

5 0

2 years ago