Answer:
0.9855 or 98.55%.
Step-by-step explanation:
The probability of each individual match being flawed is p = 0.008. The probability that a matchbox will have one or fewer matches with a flaw is the same as the probability of a matchbox having exactly one or exactly zero matches with a flaw:
The probability that a matchbox will have one or fewer matches with a flaw is 0.9855 or 98.55%.
14+10y > 3(y+14)
14+10y > 3y + 42
-3y -3Y
14 + 10y - 3y < 42
-14 -14
10y - 3y >42 - 14
7y > 28
Y> 4
Answer:
a) The variable of the study is: milligrams of nitrogen per liter of water.
This is the amount that needs to be measured and analyzed to reach conclusions in the study.
b) The variable is quantitative. The quantitative variables are those that represent quantities. This variables can be measured on a continuous or discrete scale. Then, all the variables that you can measure or count are quantitative variables(height of trees, number of passengers per car, wind speed, milligrams of nitrogen per liter, etc). On the other hand, qualitative variables are those that can’ t be measured, and they represent attributes, like apple colors (red, green), size of trousers (small, medium, large) and so on.
c) The population under study is the milligrams of nitrogen per liter of water that are in the entire lake. You can estimate the parameters of the population by taking samples (In the example, 28 samples are taken).
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
Answer:
Step-by-step explanation:
From the figure attached,
Given:
Lines AB and CD are intersecting each other at a point E.
To prove:
∠ACB ≅ ∠DEB
Statements Reasons
1). ∠AEC + ∠BEC = 180° 1). Linear pair theorem
2). ∠DEB + ∠BEC = 180° 2). Linear pair theorem
3). ∠AEC + ∠BEC = ∠DEB + ∠BEC 3). Transitive property of equality
4). ∠AEC = ∠DEB 4). Subtraction property of equality
