Answer:
Since the shape was formerly a square,ofarea 100in²
Then,Area of square=side×side
100in²=side²
side=√100in²
side=10 inches
Perimeter of the shape=10+10+7+6+5
=38inches
Now a length of 3inches is cut off from the upper horizontal side and a length of 4in is also cut off from the right vertical side.
So now we can say a triangle of base 4in and height 3in is cut off from the square.
Area of cut off triangle=½base×height
=½×4×3=0.5×12
=6 inches ²
So the Area of the shape=Area of square-Area of triangle
=100-6=94inches²
PLEASE GIVE BRAINLIEST
Answer: Probability of getting
17
tails from
20
tosses is
285
262144
=
0.0010872
Step-by-step explanation:
When a coin is tossed there are two possibilities.- it is either a head or tail and probability of getting either head or tail is
1
2
.
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:
Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)
*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.