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quester [9]
2 years ago
6

A word game has 100 tiles, 98 of which are letters and 2 of which are blank. The numbers of tiles of each letter are shown. You

randomly draw 1 tile, set it aside, and then randomly draw another tile.

Mathematics
1 answer:
love history [14]2 years ago
7 0
Complete question is attached.
------------------------------------------
Consonants (A) = 56
Vowels (B) = 42
Blank = 2
------------------------------------------
Total letters = 100
Two letters are drawn with replacement.

P(A) = 56/100 = 0.56
P(B) = 42/ (100-1) = 0.424

P(A).P(B) = 0.56*0.424 = 0.2376

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Which conjecture explains the relationship between the angles in the construction below?
Ksju [112]

Answer:

BAngle AOB is half as big as angle COB.

7 0
2 years ago
Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, -4).
Step2247 [10]
We have 
Parabola
with vertex (0,0) and   focus (0,-4)

we know that
is a vertical parabola that opens down
the standard form of the equation is of the form
(x-h)²=-4p(y-k)
where
(h,k) is the vertex----------> (0,0)
p is the distance from the vertex to the focus or directrix
in this problem 
p=4
(x-h)²=-4p(y-k)------> x²=-16y-------> y=-(1/16)x²

the answer is the option
<span>D.)y = negative one divided by sixteen x2

see the attached figure
</span>

7 0
2 years ago
Which rule describes the composition of transformations that maps ΔABC to ΔA"B"C"?
MaRussiya [10]

Answer:

<h2>Reflection across the<em> x-axis</em> composition translation of negative 6 units <em>x</em>, negative 2 units <em>y</em>.</h2>

Step-by-step explanation:

To find the right order in this transformations from ΔABC to ΔA"B"C", we first need to consider that the initial figure is ΔABC, which is transformed to  ΔA'B'C', and then to  ΔA''B''C''.

So, from the image we can see that from ΔABC to  ΔA'B'C', the transformation applied is reflection across the <em>x-axis</em>, because ΔA'B'C' is an inverted image of the original, like a mirror.

Then, from ΔA'B'C' to ΔA''B''C'', we can see that the transformation is a combination of translations, to the left side and down side. From the graph we can see that it moved exactly, 6 negative units in the direction of the <em>x-axis</em>, and 2 negative units in the direction of the <em>y- axis</em>, in other words, it moved 6 units to the left and 2 units down.

Therefore, the correct answer is the second one:

<em>Reflection across the x-axis composition translation of negative 6 units x, negative 2 units y.</em>

<em></em>

4 0
2 years ago
Read 2 more answers
1. Find the area of the unshaded square
e-lub [12.9K]

The large square is 6 by 6 so it has area 6*6 = 36

The small square is 2 by 2 (since 6-2-2 = 2), so it has area 2*2 = 4

The difference in areas is 36 - 4 = 32 which is the area of the shaded region

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

In summary:

1. The unshaded square (smallest square) has area 4 square inches

2. The area of the large square is 36 square inches

3. The shaded region (area of the frame) has area 32 square inches

7 0
2 years ago
PLEASE HELP ASAP<br> Prove that x+a is a factor of (x+a)^5 + (x+c)^5 + (a-c)^5
Brums [2.3K]

P(x)=(x+a)^5 + (x+c)^5 + (a-c)^5

If x+a is a factor of P(x), then -a is a root of P(x).

Therefore

(-a+a)^5+(-a+c)^5+(a-c)^5=0\\\\0^5+(-1(a-c))^5+(a-c)^5=0\\\\(-1)^5(a-c)^5+(a-c)^5=0\\\\-(a-c)^5+(a-c)^5=0\\\\0=0

6 0
2 years ago
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