The probability that exactly six out of ten carry a smartphone when travelling is; <u><em>P(6) = 0.146</em></u>
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
- This is a binomial <em>probability distribution</em> problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾
Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
Read more at; brainly.com/question/24239758
Answer:
see below
Step-by-step explanation:
3x^2 + 17x +10 =0
(3x+ ) ( x+ ) =0
We need to factor 10 = 2*5 or 1*10
They are positive since we have all positive terms
3*5 = 15+2 = 17
The 5 needs to multiply the 3 so it goes on the outside
(3x+ ) ( x+ 5 ) =0
That leaves the 2 on the inside
(3x+ 2 ) ( x+ 5 ) =0
Using the zero product property
3x+2 =0 x+5=0
3x = -2 x=-5
x = -2/3 x = -5
The rate of change is (amount of the change) / (time it took to change) .
Amount of the change = (3 - 1) = 2 .
Rate of change = (2) / (time it took to change from 1 to 3) .
The rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
<h3>What is the volume?</h3>
The formula for volume of a cube is given as;
Volume = a³
Where:
a = length of its side
From the information given, we have;
V = s³
Where s = 15 centimeters
Substitute the value into the formula
v = (15)³
v = 3375 centimeters
Thus, the rate of change of the volume with respect to s when s = 15 centimeters is 3375 centimeters
Learn more about a cube here:
brainly.com/question/1972490
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Triangle FOD is an isosceles with base FD.
FD = 2 · 4 = 8
FD = CB
Arc CB = 56°
Arc ED = 1/2 Arc FD = 1/2 Arc CB
Arc ED = 56° : 2
Answer:
Arc ED = 28°
