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lubasha [3.4K]
3 years ago
8

Answer all this for a lot of points

Mathematics
2 answers:
Aleksandr [31]3 years ago
7 0

Answer:

3. a. 1/4 b. 3/13

4. a. 4/9 b. 2/3

5. a. 3/8 b. 2/11

6. a. 1/4 b. 9/13

7. a. 3/11 b. 6/19

8.  a. 1/9 b. 2/11

can I also get Brainliest???


Andreyy893 years ago
5 0

Answer:

3a =1/4

3b = 3/13

4a = 4/9

4b = 2/3

5a = 3/8

5b = 3/11

6a = 1/4

6b = 9/13

7a = 3/11

7b = 6/19

8a = 1/9

8b = 2/11

Step-by-step explanation:


Either divide by 2 or any of the factors of both the numbers


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I don't know the area of a parallelogram off the top of my head but you can use the area of the rectangle and the area of the triangle and add those. The area of the triangle is 1/2*base*height and use the pythagorean theorem to find the base. 3² + b² = 5²; 9 + b² = 25; b² = 16; b = 4. The area of the triangle is 1/2*4*3 or 6 in. Since there are two of them, the total area of the triangles are 12 in. The area of the rectangle is length*width or (12 - 4) * 3 which is 8 * 3 or 24in. Add these areas together to get 36in total

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3 years ago
The batteries from a certain manufacturer have a mean lifetime of 850 hours, with a standard deviation of 70 hours, assuming tha
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To answer (a), we will need to find the Z value for 710 hours and 990 hours.

\begin{gathered} For\text{ 710} \\ Z\text{ = }\frac{x-\mu}{\sigma} \\ \text{    = }\frac{710-850}{70} \\ \text{    = -2} \\ p\text{ =0.0228 } \\ For\text{ 990:} \\ Z\text{ = }\frac{990-850}{70} \\ \text{ =2} \\ p\text{ = 0.9772} \end{gathered}\begin{gathered} To\text{ find P \lparen–2 \le Z \le 2\rparen} \\ =\text{ 0.9772 -0.0228} \\ =\text{ 0.9544} \\ =95.44\% \end{gathered}

B) 68% of data lies between one standard deviation of the mean.

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3 years ago
"Filipe" was playing with a triangle on a coordinate plane. The triangle's area is 242424 square units. The largest circle he ca
Charra [1.4K]

Answer:

52.33% is the correct answer.

Step-by-step explanation:

<u>Given that:</u>

Area of triangle = 24 sq units

Center of Circle is at <em>(0, 0)</em> and the circle passes through <em>(1.2, 1.6).</em>

<u>To find:</u> The percentage of triangle covered by circle.

<u>Solution:</u> To find the required percentage, we need to find the area of circle.

To find the area of circle, we need the radius of circle.

Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.

We can use Distance formula :

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Radius = \sqrt{(1.2-0)^2+(1.6-0)^2} =  \sqrt{1.44+2.56} = \sqrt{4} = 2\ units

Now, area of circle is given by the formula:

Area = \pi r^{2}

Area = 3.14 \times 2^{2} = 12.56 sq units

Percentage of Triangle covered:

\dfrac{Area\ of\ circle}{Area\ of\ triangle}\times 100\\\Rightarrow \dfrac{12.56}{24}\times 100\\\Rightarrow 52.33\%

Hence, 52.33% is the correct answer.

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