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.
The equation, y = -2x + 5, is not in standard form. The standard form of a linear line is ax + by = c. This equation is in slope - intercept form, which is y = mx + b.
Answer:
85,999,999.999 999 909
Step-by-step explanation:
The expression represents the difference of a relatively large number and one that is relatively small. That difference is approximately the value of the large number. The exact value requires 17 digits for its proper expression. Most calculators and spreadsheets cannot display this many digits.
<h3>Standard form</h3>
The numbers in standard form are ...
86,000,000 = 8.6×10^7
0.000000091 = 9.1×10^-8
<h3>Difference</h3>
Their difference is ...
86,000,000 -0.000000091 = 85,999,999.999 999 909
In scientific notation, this is ...
8.599 999 999 999 990 9×10^7
A)3/6=1/2
b)1/2
hope it helps if u need more explanation I will give u.
Step-by-step explanation:
2)
Rectangle has side 5 cm so one side of triangle will be 5cm
area of triangle is = 1/2lb
= 1/2 5*4
=10 cm^2
area of rectangle is l*b = 5*3= 15 cm^2
are of the shape is 10+ 15= 25 cm^2
Area of rectangle is 6*8 = 48 m^2
Area of triangle is = 1/2 *8*2= 8 m^2
area of the shape is 48+8= 56m^2
