Lupe has 14 stickers that she wants to give to 2 friends.

Which of the following represents the characteristics of the graph of x < 4 1.) closed circle on 4 and shaded to the left 2.)

dimulka [17.4K]

Answer:

Open circle on 4 and shaded to the left

7 0

4 years ago

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d

sammy [17]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number <em>and</em> the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are <u>independent</u> events because the probability of A happening does not influence the occuring of event B.

5 0

3 years ago

Simplify ( 2x + 6) + (-3x + 1)

zhenek [66]

Answer:

-x +7

Step-by-step explanation:

Combine like terms.

Rewrite as 2x + (-3x) + 6 + 1

Combining your "x" terms gives you 2x + (-3x), or 2x - 3x = -1x or -x

Combining your integer terms gives you 6 + 1 = 7.

Recombining them gives you -x + 7.

4 0

4 years ago

What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.

Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

$\rm Altitude = \sqrt{xy}$

Where x is DC and y is 5 units.

Then,

The length DC is.

$\rm Altitude = \sqrt{xy}\\
\\
12 = \sqrt{(DC) \times 5}\\
\\
\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\
\\
$

Squaring on both sides

$\rm DC = \dfrac{144}{5}\\
\\
DC = 28.8$

Considering right triangle BDC, use the Pythagorean theorem to find BC:

$\rm BC^2 = DC^2+BD^2\\\\ BC^2 = (28.8)^2+(12)^2\\

\\
BC = \sqrt{829.44+144}\\
\\
BC = \sqrt{973.44}\\
\\
\rm BC = 31.2 \ units$

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0

2 years ago

What is the standard form of (7 - 51)(2 + 3)?

patriot [66]

AnswerAnd Step-by-step explanation:

7-5x2+3

x= times or multiplied

3 0

3 years ago

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