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balu736 [363]
2 years ago
9

in a survey four out of seven people named blue as their favorite color. One out of three named red.If 1,092 people were include

d in the survey how many named neither blue nor red as their favorite color.
Mathematics
1 answer:
Dominik [7]2 years ago
5 0

Answer: There are 312 people who named neither blue nor red as their favorite color.

Step-by-step explanation:

Since we have given that

Total number of people who are surveyed = 7

Number of people who named blue as their favorite color = 4

According to question, one out of three named 'red'.

So, Out of seven people , number of people who named neither blue nor red as their favorite color is given by

7-(4+1)=7-5=2

There if there are 1092 people who were included in the survey , then we need to find the number of people who named neither blue nor red as their favorite color.

\frac{2}{7}=\frac{x}{1092}\\\\x=\frac{2\times 1092}{7}\\\\x=312

Hence, there are 312 people who named neither blue nor red as their favorite color.

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Nonamiya [84]

Answer:

  • we can conclude that for every single unit of : x, y would be increased by 0.2871.  and intersection of x and y will be through =1.5974
  • it  can be  concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = \frac{S_{xy} }{S_{xx} }   = 0.2871

and ∝ = y - βx   =  - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871.  and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it  can be  concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient  ( r ) = \frac{S_{xy} }{\sqrt{S_{xx}*S_{xy}  } }    = 0.8394

5 0
3 years ago
SOMEONE PLEASE HELP ME !!!!!
Maslowich
The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.

To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.

The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.

The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.

The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.



Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.
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2 years ago
Calculate the volume HELP PLEASE ASAP
jeka94
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2 years ago
How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?
alexira [117]

Answer:

The number of non-congruent triangles that can be formed by connecting 3 of the vertices of the cube is 3 non-congruent triangles

Step-by-step explanation:

From the three dimensional shape of a cube, triangles can be constructed from;

1) 6 side faces

2) 4 front face to opposite vertices triangles

3) 4 rear face to opposite vertices triangles

Each face can produce ₄C₃ = 4 triangles

Therefore;

The total number of triangles that can be formed = 4 × 6 + 4 × 4 + 4  × 4 = 56 triangles

Of the 56 triangles, it will be found that all 24 triangles from the different 6 direct faces will have the same dimension of 1, 1, √2 are congruent

The 24 triangles formed by the sides of the faces and an adjacent diagonal have the same dimension of 1, √2, √3 and are congruent

The 8 triangles formed by joining the three diagonals have the same dimension of √2, √2, √2 are congruent

Therefore, the 56 triangles comprises of a combination of three non-congruent triangle.

There are only 3 observed non congruent triangles formed by connecting three of the vertices of the cube.

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3 years ago
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