The probability that they will pick neither the chocolate chip nor the walnut toppings is 0.3
We have
the total of all probabilities is 1.00, or 100%.
In the Venn diagram, we have the probabilities 0.2, 0.4 and 0.1; these sum to
0.2+0.4+0.1 = 0.6+0.1 = 0.7.
This leaves us 1.00-0.7 = 0.3 for the remaining probability of no toppings.
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Answer:
C
Step-by-step explanation:
A. Equilateral triangle is a triangle with all sides congruent. These triangles are not equilateral, because there is no information about all three sides of each triangle.
B. Isosceles triangle is a triangle with two sides congruent. These triangles are not isosceles, because there is no information about congruence of two sides of each triangle.
C. ASA posrulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. This is exactly what you are given in this question, so this option is true.
D. This option is false, because triangles can have two pairs of congruent angles (for example, 20° and 40°), then third pair are also congruent angles not necessarily right (180°-20°-40°=120°≠90°).
Answer:
44?.. im going to get rhis one wrong
Answer:
Step-by-step explanation:
The given expression is
(4×10^8)(4×10^-7)/(4×10^8)
Considering the property of exponents which is expressed as
y^a × y^b = y^(a + b)
Applying the above rule to the denominator of the given expression, it becomes
4×10^8 × 4×10^-7 = 16 × 10^(8 + - 7)
= 16 × 10^(8 - 7)
= 16 × 10 = 160
The expression becomes
16 × 10/(4×10^8)
We would apply the property of exponents which is expressed as
y^a ÷ y^b = y^(a - b)
It becomes
16/4 × 10^(1 - 8)
= 4 × 10^-7
One number (a) exceeds another number (b) by 11 so
a = b+11
a + b = 77
Substitute the equation for a into the second equation
(b+11) + b = 77
multiply each side by 1 to remove parentheses
b + 11 + b = 77
Combine like terms
2b + 11 = 77
Isolate the variable
2b = 77-11
Simplify
2b = 66
Divide by 2
b = 33
Now substitute b back into the initial equation for a
a = (33) + 11
a = 44
Check your work by substituting both values into the second equation
44 + 33 = 77
This is true, so 44 and 33 are solutions
