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Gnesinka [82]
3 years ago
13

Write a conditional statement that correctly describes each venn diagram in the space provided?

Mathematics
1 answer:
MakcuM [25]3 years ago
7 0
Remember that a conditional statement (p→q) is an if-then in which the first part, p, is the hypothesis and the second part, q, is the conclusion. 

1. Here the set m<span>∠A=40° is a subset of the set Acute Angles, so </span>m∠A=40° is the hypothesis and Acute Angles is the conclusion. 
In other words:
m∠A=40°→∠A is an Acute Angle 
if m∠A=40°, then ∠A is an Acute Angle

We can conclude that the conditional statement that describes the Venn diagram is: if m∠A=40°, then ∠A is an Acute Angle

2. Just like before, the set 2x=4 is a subset of the set x=2; therefore, 2x=4 is the hypothesis and x=2 is the conclusion.
In other words:
2x=4→x=2
if 2x=4, then x=2

We can conclude that the conditional statement that describes the Venn diagram is: if 2x=4, then x=2
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The following data are the distances between a sample of 20 retail stores and a large distribution center. The distances are in
sesenic [268]

Answer:

Variance = 1,227.27

Standard deviation = 35.03

Step-by-step explanation:

To calculate these, we use the following formulas:

Mean = (sum of the values) / n

Variance = ((Σ(x - mean)^2) / (n - 1)

Standard deviation = Variance^0.5

Where;

n = number of values = 20

x = each value

Therefore, we have:

Sum of the values = 29 + 32 + 36 + 40 + 58 + 67 + 68 + 69 + 76 + 86 + 87 + 95 + 96 + 96 + 99 + 106 + 112 + 127 + 145 + 150 = 1,674

Mean = 1,674 / 20 = 83.70

Variance = ((29-83.70)^2 + (32-83.70)^2 + (36-83.70)^2 + (40-83.70)^2 + (58-83.70)^2 + (67-83.70)^2 + (68-83.70)^2 + (69-83.70)^2 + (76-83.70)^2 + (86-83.70)^2 + (87-83.70)^2 + (95-83.70)^2 + (96-83.70)^2 + (96-83.70)^2 + (99-83.70)^2 + (106-83.70)^2 + (112-83.70)^2 + (127-83.70)^2 + (145-83.70)^2 + (150-83.70)^2) / (20 - 1) = 23,318.20 / 19 = 1,227.27

Standard deviation = 1,227.27^0.5 = 35.03

5 0
3 years ago
What is 1/6+1/2 in its simplest form?
Salsk061 [2.6K]
1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3
6 0
3 years ago
Read 2 more answers
Calculate the slope of a line that passes through the points (-4,7) and (-1,3)
zmey [24]

Answer:

The answer is

-  \frac{4}{3}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,7) and (-1,3)

We have

m =  \frac{3 - 7}{ - 1 -  - 4}  =  \frac{ - 4}{ - 1 + 4}  =   -  \frac{4}{3}  \\

We have the final answer as

-  \frac{4}{3}  \\

Hope this helps you

4 0
3 years ago
3 1/3 divided by 20 in simplest form
gogolik [260]

Answer:

1/6

Step-by-step explanation:

Hope it helps plz give brainliest! :D

5 0
3 years ago
The area of a square is 676 square yards how long is each side of the square
kogti [31]
So basically what you want to do is square root this, since to find the area of a square from the side length, you square it, (x * x, because the area for a quadrilateral is base * height, and a square has the same length of sides).

So there is no way to properly square root a number unless you memorize it. However, what you can do, is look at the last digit and make an approximation, at which two numbers multiply together to have a last digit of 6.

So, 4 * 4 and 6 * 6 are the two that square to have a last digit of 6.

(1: 1, 2: 4, 3: 9, 4: 6, 5: 5, 6: 6, 7: 9, 8: 4, 9: 1, 0: 0) If that makes any sense.

So basically the square root has to end with 4 or 6.

Now, you can just approximate. It would be over 20, because 20 squared (20 * 20) is equal to 400. But it would be under 30, because 30 squared is 900.

So the two possible numbers are 24 and 26.

If you square both of them, you find that:

24 squared = 576

26 squared = 676

So therefore 26 is the square root of 676, so therefore one side is 26 yards.

Hope this weirdly long explanation helped :)
 
4 0
3 years ago
Read 2 more answers
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