<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
Answer:
New mean length of these 17 people=11.62
Step-by-step explanation:
<em>Step 1: Determine the total length of children's fingers</em>
L=l×n
where;
L=total length (cm)
l=mean length (cm)
n=number of children
replacing;
L=6.7×6=40.2 cm
The total children's fingers length=40.2 cm
<em>Step 2: Determine the total length of adults fingers</em>
total length of adults fingers=mean length of adults fingers×number of adults
where;
mean length of adults=14.3
number of adults=11
replacing;
total length of adults fingers=(14.3×11)=157.3 cm
<em>Step 3: Determine the new mean length</em>
new mean length=total length of adults and children fingers/number of adults and children
where;
total length of adults and children fingers=157.3+40.2=197.5 cm
number of adults and children=11+6=17
replacing;
new mean length=197.5/17=11.62
Answer:
Step-by-step explanation:
first multiply 4 X 2= 8
8+2x=42
Now you are going to pass 8 to the other side by adding -
2x=42-8
2x=34
Now you are going to divide 34 between 2 to eliminate the 2 multiplying in the other side. 34 between 2= 17
X=17
Hope this helps :)
Answer:
x = 16
Step-by-step explanation:
Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:
51 + 65 + 4 x = 180
combine and solve for "x"
116 + 4 x = 180
4 x = 180 - 116
4 x = 64
x = 64 / 4
x = 16
You plug in the number for x and if it is equal to the solution then it is correct
