<h2>
Greetings!</h2>
Answer:
Step-by-step explanation:
You need to remember the following equation:
Where a and b is the lengths of the two sides and c is the hypotenuse.
So simply plug these values into this:
36 + 49 = h^2
36 + 49 = 85
So the hypotenuse is the square root of 85:
<h2>Hope this helps!</h2>
Answer:
a) ∅ ∈ {∅} TRUE
b) ∅ ∈ {∅,{∅}} TRUE
c) {∅} ∈ {∅} FALSE
d) {∅} ∈ {{∅}} TRUE
e) {∅} ⊂ {∅,{∅}} TRUE
f ) {{∅}} ⊂ {∅,{∅}} TRUE
g) {{∅}} ⊂ {{∅},{∅}}FALSE
Step-by-step explanation:
To assess whether these statements are true or false, first observe the symbol:
"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"
On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.
So:
c) is false because "{∅}" is not included in the set
g) is false because " {{∅}}" is not included in the set
Y=2x
so what you do is sub 2x for y in the top equation
x^2+(2x)^2=5
x^2+4x^2=5
5x^2=5
divide both sides by 5
x^2=1
sqrt both sides
x=1 or -1
sub back
y=2x
y=2(-1)
y=-2
y=2(1)
y=2
the solutions are (1,2) and (-1,-2)
Answer: 64+8=72...72/9=8
Step-by-step explanation:
Answer: a. iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
Step-by-step explanation:
- A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
- It is square of correlation coefficient (R).
Here, independent quantity = weight of a car
dependent quantity = miles per gallon (gas mileage)
The coefficient of determination (R²) was reported to be 79.6%.
That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
- A correlation coefficient(R) tells about the strength and direction of relation .
- It lies between -1 and 1.
For the study, the correlation coefficient R is -0.8921.
There is a fairly strong, negative relationship between car weight and miles per gallon.
