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Vadim26 [7]
3 years ago
11

*Need Help??!!

Mathematics
2 answers:
RoseWind [281]3 years ago
3 0

The probability of getting a <em>country CD</em> out of all the CDs is the number of <em>country CDs</em> divided by the <em>total number of CDs</em> in Dante's Collection.

The <em>total number of CDs</em> in Dante's collection is 6+12+8+4+10=40.

The total number of <em>country CDs</em> is 12.

So our required probability is \frac{12}{40}= \frac{3}{10}.

In percentage this is 3 divided by 10, and then multiply by 100. We get 30%. Answer choice D is correct.


ANSWER: D

hjlf3 years ago
3 0

Answer: D.) 30%

Step-by-step explanation:

From the given pie chart, we have the number of country CD = 12

The total number of CD's=12+8+4+6+10=40

 

Now, the probability that a randomly chosen CD will be country is given by :-

\text{P(country)}=\dfrac{\text{Number of country CD}}{\text{Total CDs}}\\\\=\dfrac{12}{40}=\dfrac{3}{10}=0.3

In percent, 0.3\times100=30\%

Hence, the probability that a randomly chosen CD will be country is 30%.

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A sqware has an area of 49 sqware feet. A rectangle has an area of 24 sqware feet its lanth is 2 feet longer than its width witc
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

If the square has an area of 49 ft^2, then the length of one of its sides is

s = √(49 ft^2) = 7 ft, and its perimeter is P = 4(7 ft) = 28 ft.

As for the rectangle:  let W and L represent the width and length, respectively.  Then W*L = 24 ft^2 is the area.  L = W + 2 ft.  Therefore,

W(W + 2) = 24, or W^2 + 2W - 24 = 0, or (W +6)(W - 4) = 0.  Thus, W = 4 ft.

The perimeter of this rectangle is P = 2W + 2L, or

P = 2(4 ft) + 2(6 ft) = 24 ft.

The square has the larger perimeter:  It is 28 ft.

8 0
3 years ago
I need help on two questions!
Inessa05 [86]

1) Answer: \frac{x^{2}}{100} +\frac{y^{2}}{4} = 1

<u>Explanation:</u>

The equation of an ellipse is: \frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}} = 1 ; where (h, k) is the center, "a" is the x-radius, and "b" is the y-radius.

               Center                        Radius

x-axis:   (10 + -10)/2 = 0            10 - 0 = 10

  •       h = 0                             a = 10

y-axis:   (2 + -2)/2  = 0               2 - 0 = 2

  •       k = 0                             b = 2

Now, input the values into the equation:

\frac{(x-0)^{2}}{10^{2}} +\frac{(y-0)^{2}}{2^{2}} = 1

\frac{x^{2}}{100} +\frac{y^{2}}{4} = 1

************************************************************************

2) Answer: \frac{x^{2}}{1} +\frac{(y+2)^{2}}{4} = 1

<u>Explanation:</u>

Vertices are: (0, 1) and (0, -5) ------> x-values are the same, y = 1, -5

Covertices are: (-1, -2) and (1, -2) ----> y-values are the same, x = -1, 1


               Center                        Radius

x-axis:   (-1 + 1)/2 = 0                  1 - 0 = 1

  •       h = 0                             a = 1

y-axis:   (1 + -5)/2  = -2               1 - (-2) = 3

  •       k = -2                             b = 3

Now, input the values into the equation:

\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}} = 1

\frac{(x-0)^{2}}{1^{2}} +\frac{(y-(-2))^{2}}{3^{2}} = 1

\frac{x^{2}}{1} +\frac{(y+2)^{2}}{9} = 1

3 0
4 years ago
Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?
mario62 [17]

Answer: Yes, No Submit ·

Step-by-step explanation:

6 0
3 years ago
100 pts question
bixtya [17]

Let x be the width

Lenght = 10x + 8.1

(10x + 8.1)2 + 2x = 515.6

22x = 499.4

x = 22.7

Area = l*w

= 22.7*235.1

= 5336.77

= 5340( nearest tens)

4 0
3 years ago
I need help!!!!!!!!!!!!
Ainat [17]

Answer:

See explanation below.

Step-by-step explanation:

A number bond shows what two parts add to make the number. The 1 in the bigger circle is equal to the two small circles each 1/2.

On the number line you have drawn from 0 to 1 a bar. This is the whole number. Divide the bar with one line exactly at the half.

This now shows that two bars or 1/2 + 1/2 becomes 1 big bar or 1. This shows the same relationship as the number bond.

4 0
3 years ago
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