Orange box:
The incorrect statement is B. The theoretical probability is the probability of an event occurring that is expected. In this case, the theoretical probability of selecting a dime is 4/25.
Purple box:
The incorrect statement is C. The difference between the theoretical and experimental probability is not 1/10. The difference between the experimental and theoretical probability is 0.015 or 3/200.
6/25 = 0.24
9/40 = 0.225
0.24 - 0.225 = 0.015
Hope this helps!! :)
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
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Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
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As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
The domain is the value of x, the range is the value of y.
A parabola opens infinitely to the right and left, so x can be any number, the domain is all real numbers
Vertically, however, a parabola opens only one way, either upward or downward. when it opens upward from a a certain level, say, the lower point (the vertex) has a y coordinate of 2, we say the range is all real numbers larger than or equal to 2, or y≥2. When it opens downward, we say the range is all real numbers smaller or equal to 2, y≤2
Answer: -1
Step-by-step explanation:
1 - (-3) - 5 = 1 + 3 - 5
Thats because subtracting by a negative number is the same as adding the negative number's absolute value (Distance away from zero).
(1 + 3) - 5 = -1
PEMDAS Addition and Subtraction from left to right.
Answer:
90
Step-by-step explanation:
