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MAVERICK [17]
2 years ago
7

A basket of beads contains 8 red beads 6 yellow beads and 6 green beads. A bead will be drawn and replaced 150 times. What is a

reasonable prediction for the number of times a green bead is drawn
Mathematics
1 answer:
lbvjy [14]2 years ago
6 0
To make a reasonable prediction, you can create a proportion using the ratio of green beads to total beads and make it equal to x green out of 150 trials.

<u>green</u>    <u>6 </u>         <u>x</u>
total      20   =   150;   use cross products to solve for x green beads.

15 x 6 = 20x
<u>900 </u>= <u>20x</u>
20      20

x = 45 green

A reasonable prediction would be 45 green beads based on theoretical probability.
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Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, as shown colon
Nadusha1986 [10]

Answer:

Sadie's error is " she made error in step 2 =\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}  where a\geqslant 0"

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is 3ab\sqrt{6ab} where a\geqslant 0</h3>

Step-by-step explanation:

Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "

It can be written as \sqrt{54a^7b^3} where a\geqslant 0

The given expression is \sqrt{54a^7b^3} where a\geqslant 0

To find Sadie's error and explain the correct answer :

Sadie's steps are

\sqrt{54a^7b^3}  where a\geqslant 0

=\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b}

=3ab\sqrt{6a^5b}

<h3>\sqrt{54a^7b^3}=3ab\sqrt{6a^5b} where a\geqslant 0</h3><h3><u>Now corrected steps are</u></h3>

\sqrt{54a^7b^3}  where a≥0

=\sqrt{(9\times 6)(a^{6+1})(b^{2+1})

=\sqrt{(3^2\times 6)(a^6.a^1)(b^2.b^1) (by using the identity a^{m+n}=a^m.a^n

=\sqrt{3^2\times 6\times ((a^3)^2.a)(b^2.b) (by using the identity a^{mn}=(a^m)^n )

=3ab\sqrt{6ab}

Therefore \sqrt{54a^7b^3}=3ab\sqrt{6ab}  where a\geqslant 0

<h3>The correct answer is 3ab\sqrt{6ab} where a\geqslant 0</h3>

Sadie's error is " she made error in step 2 =\sqrt{3^2\times 6\times a^2\times a^5\times b^2\times b} " where a\geqslant 0

Because she made error in splitting the powers to simplify the square root

<h3>Therefore the correct answer for Sadie's expression is 3ab\sqrt{6ab} where a\geqslant 0</h3>
5 0
2 years ago
Read 2 more answers
To gather information about the validity of a new standardized test for tenth-grade students in a particular state, a random sam
aleksklad [387]

Answer:

(c) A cluster sample

Step-by-step explanation:

A cluster sample occurs when the intended population is divided into   non- overlapping sub -groups or clusters and some of these clusters are represented in the sample.

From the question, In a state 15 high schools where randomly selected and  the standardized test was administered to only 10th grade student. Here, the  high schools  are the non-overlapping sub groups that is randomly selected and a reasonable representation of the  entire subgroups.

5 0
2 years ago
What is the slope of this line graphed below?​
egoroff_w [7]

Answer:

The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Step-by-step explanation:

make sure you mark me as briliest

5 0
2 years ago
Read 2 more answers
Jenna’s method: Mia’s method: 5(30 + 4) 5(30 + 4) (5)(30) + (5)(4) 5(34) = 170 150 + 20 = 170 Explain why both Jenna and Mia arr
seraphim [82]

Answer:

Both people did the same type of general question, but Jenna's method uses the distributive property to do it mentally.

Step-by-step explanation:

Jenna's Method: Uses distributive property to break it all down and do it mentally.

Mia's Method: She broke the equation down so much that the answer will be more complex to find.

3 0
2 years ago
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1
sergiy2304 [10]

The height of statue is 12.2 inches in Troy's drawing.

Step-by-step explanation:

Given,

Actual height of statue = 305 feet

Scale used by Troy;

25 feet = 1 inch

1 feet = \frac{1}{25}\ inches

305 feet = \frac{1}{25}*305 \ inches

305 feet = \frac{305}{25}\ inches\\

305 feet = 12.2 inches

The height of statue is 12.2 inches in Troy's drawing.

Keywords: unit rate, division

Learn more about unit rate at:

  • brainly.com/question/884169
  • brainly.com/question/902892

#LearnwithBrainly

3 0
2 years ago
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