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Vlada [557]
1 year ago
8

Find the value of X. The diagram is not to scale. Lines F and G are parallel.

Mathematics
1 answer:
sergejj [24]1 year ago
6 0

Step-by-step explanation:

2 × (First Angle + Second Angle) = 360°

5x + 9x + 26 = 360°/2

14x + 26 = 180°

14x = 180 - 26

14x = 154

x = 154/14

x = 11°

The answer is B.

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Which answer is the approximate standard deviation of the data set?
Anna35 [415]

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

6 0
3 years ago
Please answer this correctly
vichka [17]

Answer:

1/2

Step-by-step explanation:

The non-even numbers are 1, 3, and 5 on the dice.

3 numbers out of 6.

3/6 = 1/2

8 0
3 years ago
Read 2 more answers
A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area o
enyata [817]

45 square feet is the area of the base of the pedestal.

what is rectangular prism?

  • A rectangular prism is a 3D figure with 6 rectangular faces.
  • To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

we know that

The volume of the pedestal (rectangular prism) is given by the formula

   V =   B × h

where

B is the area of the rectangular base of pedestal

V = 405 ft³

h = 9 ft

put the given values in the formula and solve for B

405 = B × 9

B = 405/9

B = 45 ft²

Therefore, 45 square feet is the area of the base of the pedestal.

Learn more about rectangular prism

brainly.com/question/21308574

#SPJ4

3 0
2 years ago
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points a
liq [111]
Assuming it's 7, 2, and 31, you can set up (31+7)/2 is the amount that Carlos scored, which is 38/2 or 19.
8 0
3 years ago
Read 2 more answers
The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $5500 to rent
borishaifa [10]
It's about 83.544 sorry if I get it wrong I'm really sorry I add
6 0
3 years ago
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