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Anastasy [175]
3 years ago
5

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words f

rom the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0
To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

<span>=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)
</span>
=0.132 
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I DON’T GET THIS ONLY NEED NUMBER 6 PLEASEEE!!!!!
Sophie [7]

\huge\text{Hey there!}

\huge\text{The word \bf{product}}\huge\text{ means multiply in}\\\huge\text{mathematics.}

\huge\text{The number is unknown so we can label}\\\huge\text{it as: x}

\huge\text{Your equation will be setup like this: -2.5x = 60}

\text{-2.5x = 60}\\\text{First divide both sides by -2.5}\rightarrow\dfrac{-2.5\text{x}}{-2.5} = \dfrac{60}{-2.5}\\\text{Cancel out:}\dfrac{2.5\text{x}}{2.5}\text{ because it equals 1}\\\\\text{Keep:}\dfrac{60}{-2.5}\text{because it helps us find the unknown number}\\\\\\\boxed{\boxed{\text{Answer: x = -24}}}\checkmark

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4 0
4 years ago
PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly
Yuri [45]

Just add a similar triangle from the opposite side

Then what happens

  • Hypotenuse of this triangle becomes common and diagonal of the rectangle.

Now

  • Length=L=5
  • Breadth=B=4

Area

\\ \tt\hookrightarrow LB=5(4)=20

  • Area of triangle=20/2=10units^2
6 0
3 years ago
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What is the length of the hypotenuse
Liula [17]

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

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8 0
3 years ago
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Find the value of x​
Ivahew [28]

Answer:

x=27

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

90 + x+23 + x+13 = 180

Combine like terms

126 +2x = 180

Subtract 126 from each side

126-126 +2x=180-126

2x =54

Divide by 2

2x/2 = 54/2

x = 27

4 0
3 years ago
Please Help!!
GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:


{X - 2 Y = -2 | (equation 1)


{3 X - 2 Y = 2 | (equation 2)



Swap equation 1 with equation 2:


{3 X - 2 Y = 2 | (equation 1)


{X - 2 Y = -2 | (equation 2)



Subtract 1/3 × (equation 1) from equation 2:


{3 X - 2 Y = 2 | (equation 1)


{0 X - (4 Y)/3 = (-8)/3 | (equation 2)



Multiply equation 2 by -3/4:


{3 X - 2 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Add 2 × (equation 2) to equation 1:


{3 X+0 Y = 6 | (equation 1)


{0 X+Y = 2 | (equation 2)



Divide equation 1 by 3:


{X+0 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Collect results:


Answer:  {X = 2 , Y = 2

4 0
3 years ago
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