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expeople1 [14]
3 years ago
12

An experiment consists of randomly drawing a cube from a bag containing three red and

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0

Answer:

1. Sample space: red or blue

2. Red: 3/5,   Blue 2/5

3. 60% probability of selecting a red, 40 percent probability

4. 1 more blue

Step-by-step explanation:

3. 3/5 x 2 = 6/10 --> 60%

4. 5 total, 3 red, 2 blue (+ 1 blue) = 6 total, 3 red, 3 blue

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Robyn likes to read novels that have 400 pages or fewer. Which inequality represents the number of pages, p, in the novels she l
belka [17]

Answer:

A

Step-by-step explanation:

P represents the page of number and she likes to read FEWER than 400 or equal to it. P <u><</u> 400 says that she likes to read pages that are fewer or equal to 400 pages.

4 0
3 years ago
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Answer the following
Amanda [17]

The set A satisfying the given inequality is A = (-\infty, -10].

<h3>What are some properties of an inequality relation? </h3>

Following are some facts which are true for an inequality relation:

  • Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
  • The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.

\frac{5x-2}{8} - \frac{3x-5}{10} &\ge& x+y\\\\\Rightarrow\;\; \frac{13}{40}x + \frac{1}{4}&\ge& x+y\\\\\Rightarrow\;\;\;\;\;\; -\frac{27}{40}x &\ge & y - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\;\; -x &\ge & \frac{40}{27}\left( y-\frac{1}{4} \right).\hspace{1cm}(1)

Since y ∈ B, -2 ≤ y ≤ 7. So,

\;\;\;\;\;\;\;\,-2 - \frac{1}{4}\; \le\; y - \frac{1}{4} \;\le\; 7 - \frac{1}{4}\\\\\Rightarrow\;\;\;\;\;\;\;\;\; -\frac{9}{4}\; \le\;  y - \frac{1}{4} \;\le\; \frac{27}{4}\\\\\Rightarrow\;\;\; -\frac{9}{4}\cdot \frac{40}{27} \;\le\; \frac{40}{27} \left( y-\frac{1}{4} \right) \;\le \;\frac{27}{4}\cdot \frac{40}{27}\\\\\Rightarrow\;\;\;\;\;\;\;\; -\frac{10}{3} \;\le\; \frac{40}{27}\left( y - \frac{1}{4} \right)\; \le\; 10.

The set {-x | inequality (1) holds ∀ y ∈ B} is [10, \infty) i.e.

10 ≤ -x ≤ \infty.

Multiplying -1 throughout gives

-10 ≥ x ≥ -\infty.

x, thus, lies in the range A = (-\mathbf{\infty}, -10}.

Learn more about the inequality here.

brainly.com/question/17801003

Disclaimer: The question was incomplete. Please find the full content below.

<h3>Question </h3>

Find the set A such that for x ∈ A

\frac{5x - 2}{8} - \frac{3x - 5}{10} \ge x + y

∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.

#SPJ4

4 0
2 years ago
Which of the following equations represents the graph shown? ​
SCORPION-xisa [38]

Answer:

F(x)=-x+2

Step-by-step explanation:

equation

mx+b

m= slope

x

b = y-intercept

4 0
3 years ago
Which expression is equivalent to x^-5/3<br><br> Answer choices:
Alex17521 [72]

Answer:

1/3x5 the Answer is b

Step-by-step explanation:

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A rectangle has a length of 3x+5 units and a width of x+5 units. A second rectangle has an area of 4x^2-5x+6 square units. What
natima [27]

Answer:

7x^2+15x+31

Step-by-step explanation:

(3x+5)(x+5)

FOIL

3x^2+15x+5x+25

(3x^2+20x+25)+(4x^2-5x+6) = 7x^2+15x+31

7 0
3 years ago
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