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ArbitrLikvidat [17]
3 years ago
7

What is the area of the triangle? Drag the dot to help you remember the formula.

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0
<h3>Answer:  10 square units</h3>

Work Shown:

base = 4

height = 5

area of triangle = (1/2)*base*height = (1/2)*4*5 = 10

The dot can be dragged to the left so that the dashed height line is inside the triangle. No matter where you drag the green dot, the height stays the same and so does the area.

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A stereo store is offering a special price on a complete set ofcomponents (receiver, compact disc player, speakers, cassette dec
Korvikt [17]

Answer:

Step-by-step explanation:

(a)

The number of receivers is 5.

The number of CD players is 4.

The number of speakers is 3.

The number of cassettes is 4.

Select one receiver out of 5 receivers in 5C_1 ways.

Select one CD player out of 4 CD players in 4C_1 ways.

Select one speaker out of 3 speakers in 3C_1 ways.

Select one cassette out of 4 cassettes in 4C_1 ways.

Find the number of ways can one component of each type be selected.

By the multiplication rule, the number of possible ways can one component of each type be selected is,

The number of ways can one component of each type be selected is

=5C_1*4C_1*3C_1*4C_1\\\\=5*4*3*4\\\\=240

Part a

Therefore, the number of possible ways can one component of each type be selected is 240.

(b)

The number of Sony receivers is 1.

The number of Sony CD players is 1.

The number of speakers is 3.

The number of cassettes is 4.

Select one Sony receiver out of 1 Sony receivers in ways.

Select one Sony CD player out of 1 Sony CD players in ways.

Select one speaker out of 3 speakers in ways.

Select one cassette out of 4 cassettes in 4C_1 ways.

Find the number of ways can components be selected if both the receiver and the CD player are to be Sony.

By the multiplication rule, the number of possible ways can components be selected if both the receiver and the CD player are to be Sony is,

Number of ways can one components of each type be selected

=1C_1*1C_1*3C_1*4C_1\\\\=1*1*3*4\\\\=12

Therefore, the number of possible ways can components be selected if both the receiver and the CD player are to be Sony is 12.

(c)

The number of receivers without Sony is 4.

The number of CD players without Sony is 3.

The number of speakers without Sony is 3.

The number of cassettes without Sony is 3.

Select one receiver out of 4 receivers in 4C_1 ways.

Select one CD player out of 3 CD players in 3C_1 ways.

Select one speaker out of 3 speakers in 3C_1 ways.

Select one cassette out of 3 cassettes in 3C_1 ways.

Find the number of ways can components be selected if none is to be Sony.

By the multiplication rule, the number of ways can components be selected if none is to be Sony is,

=4C_1*3C_1*3C_1*3C_1\\\\=108

[excluding sony from each of the component]

Therefore, the number of ways can components be selected if none is to be Sony is 108.

(d)

The number of ways can a selection be made if at least one Sony component is to be included is,

= Total possible selections -Total possible selections without Sony

= 240-108

= 132  

Therefore, the number of ways can a selection be made if at least one Sony component is to be included is 132.

(e)

If someone flips the switches on the selection in a completely random fashion, the probability that the system selected contains at least one Sony component is,

= \text {Total possible selections with at least one Sony} /\text {Total possible selections}

= 132  / 240

= 0.55

The probability that the system selected contains exactly one Sony component is,

= \text {Total possible selections with exactly one Sony} /\text {Total possible selections}\frac{1C_1*3C_1*3C_1*3C_1+4C_11C_13C_13C_1+4C_13C_13C_13C_1}{240} \\\\=\frac{99}{240} \\\\=0.4125

Therefore, if someone flips the switches on the selection in a completely random fashion, then is the probability that the system selected contains at least one Sony component is 0.55.

If someone flips the switches on the selection in a completely random fashion, then is the probability that the system selected contains exactly one Sony component is 0.4125.

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3 years ago
Seven times one number is half of another number... please put in equation form
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7 x 1 =1/2 of another number heres the answe
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Imena's math test scores are 83, 93, 78, 89, and 83. She has one more math test this semester. What score most she get on the te
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87 is the median because 83 and 87's average is 85.
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Given that 3 x : 10 = 5 : 2 Calculate the value of x .
borishaifa [10]

\tt{ 3x:10=5:2 } ⠀

\tt{\dfrac{3x}{10}=\dfrac{5}{2}  } ⠀

\tt{3x×2=10×5  } ⠀

\tt{6x=50  } ⠀

\tt{x=\dfrac{50}{6}  } ⠀

\tt{ x=\dfrac{25}{3}} ⠀

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3 years ago
PLZZ Help me algebra 2.
Kipish [7]

Answer:

32

Step-by-step explanation:

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