Answer:
x = 44°
Step-by-step explanation:
The sum of the three angles is 180°.
So, x + x + 5 + 2x -1 = 180
4x + 4 = 180
4x = 176
x = 44°
Step-by-step explanation:
The first expression is :
Numerator = -11×2 = -22
Denominator = 3
So, answer will be :
(negative)
The second expression is:
Numerator = -11×-2 = 22
Denominator = 3
So, the answer will be :
(positive)
Hence, this is the required solution.
Answer:
<u>108</u>
Step-by-step explanation:
Volume of a Square Pyramid :
- V = 1/3 x Base Area x Height
Solving :
- V = 1/3 x (6)² x 9
- V = 36 x 3
- V = <u>108</u> cubic centimeters
Answer:
-6=2/3*-6
Step-by-step explanation:
y=mx+b
slope = m b=y intercept
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
