What is 5 7/10 plus 3 1/3?

You can choose from groups of 2, 3, or 5 balloons, and you can choose to have them tied together with either a red ribbon or a b

vesna_86 [32]

6 different outcomes

5 0

3 years ago

When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

slava [35]

Answer:

a) There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) There is a 48% probability that Betty watches TV tomorrow.

c) There is a 12% probability that only Alice watches TV tomorrow.

Step-by-step explanation:

We have these following probabilities:

A 60% probability that Alice watches TV.

If Alice watches TV, an 80% probability Betty watches TV.

If Alice does not watch TV, a 0% probability that Betty watches TV, since she cannot turn the TV on by herself.

a) What is the probability that both Alice and Betty watch TV tomorrow?

Alice watches 60% of the time. Betty watches in 80% of the time Alice watches. So:

$P = 0.6*0.8 = 0.48$

There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) What is the probability that Betty watches TV tomorrow?

Since Betty only watches when Alice watches(80% of the time), this probability is the same as the probability of both of them watching. So

$P = 0.6*0.8 = 0.48$

There is a 48% probability that Betty watches TV tomorrow.

c) What is the probability that only Alice watches TV tomorrow?

There is a 60% probability that Alice watches TV tomorrow. If she watches, there is an 80% probability that Betty watches and a 20% probability she does not watch.

So

$P = 0.6*0.2 = 0.12$

There is a 12% probability that only Alice watches TV tomorrow.

7 0

3 years ago

If f(x) = 3x + 5 and g(x) = x - 1, then g[f(-3)] = ?

Dominik [7]

Answer:

-3fg

Step-by-step explanation:

I can't tell exactly what you're trying to say but if you're trying to say:

g x (f x (-3)), then here's how you do it:

g x (f x (-3))

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), then use the commutative property to reorder the terms.

g x (-f x 3)

g x (-3f)

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), the use the commutative property to reorder the terms.

-g x 3f

-3fg

8 0

3 years ago

Which tools were used by ancient mathematicians to make geometric constructions?

ArbitrLikvidat [17]

The tools that were used by ancient mathematicians to make geometric constructions are compasses and straightedges. A compass is a drawing instrument used to draw circles and arcs. The straightedges on the other hand is a tool to check on the accuracy of a straight line.

The answer is first choice.

7 0

3 years ago

Read 2 more answers

(c) The original function y= A(n) converted an input, the circle's radius, to an output, the circle's area.

timama [110]

Two functions f(x) and g(x) are inverses if and only if is true that each function evaluated in the other is equivalent to the identity.

This means that:

f( g(x)) = g( f(x)) = x

With this we can see that:

Input = area

Output = radius.

-------------------------------------

Let's see how we concluded that.

First, we know that the function:

y = A(n) converts an input, the radius of a circle into an output, the circle's area.

Let's assume that G(x) is the inverse function, and "n" is the variable that represents the radius.

By the definition of inverse functions we must have that:

G( A(n)) = n

and n is a radius, so the output of the inverse function is the radius of a circle.

And A(n) is the area of that circle, then the input for the inverse function is the area.

Finally, we can conclude that:

Input: Area

Output: Radius.

If you want to learn more, you can read:

brainly.com/question/2541698

3 0

2 years ago