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omeli [17]
3 years ago
5

1. Police estimate that 10% of drivers drive without their seat belts. If they stop 8 drivers at random, a) What is the probabil

ity that exactly two of the 8 drivers are driving without their seat belts? b) What is the probability that at most two of the 8 drivers are driving without their seat belts? c) What is the probability that at least three of the 8 drivers are driving without their seat belts?
Mathematics
1 answer:
koban [17]3 years ago
8 0
I not a really sure:(
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suppose that y varies jointly with x and z. Find your when x=3 and z=5 , given that y=72 when x=6 and z=4
Hitman42 [59]
Y α xz

y = kxz             y = 72, when x = 6, and z = 4

72 = k*6*4

72 = k*24

24k = 72

k = 72/24

k = 3.

<span>y = kxz    
</span>
<span>y = 3xz    </span>

Finding y, when x = 3, z = 5.

y = 3xz

y = 3*3*5

y = 45
3 0
3 years ago
What is x² − 4x + 7 factored?
allochka39001 [22]

Answer:

The expression is not factorable with rational numbers.

x² − 4x + 7

8 0
3 years ago
Find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (1 comma 0 )​, (3 comma 2
Troyanec [42]

Answer: Volume = \frac{20\pi }{3}

Step-by-step explanation: The <u>washer</u> <u>method</u> is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = \pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy

Since it is given points, first find the function for points (3,2) and (1,0):

m = \frac{2-0}{3-1} = 1

y-y_{0} = m(x-x_{0})

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy

V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy

V=\pi \int\limits^2_0 {y^{2}+2y} \, dy

V=\pi(\frac{y^{3}}{3}+y^{2} )

V=\pi (\frac{2^{3}}{3}+2^{2} - 0)

V=\frac{20\pi }{3}

The volume of the region bounded by the points is \frac{20\pi }{3}.

6 0
4 years ago
Is 3/47 rational number
BabaBlast [244]
<span>In the question of whether "3/47 is a rational number" - the answer is "yes". The definition for a rational number used in mathematics is that it can be expressed as a fraction in which both the nominator and the denominator are natural numbers , and this is the case here- both 3 and 47 are natural numbers, so 3/47 is a rational number. </span>
7 0
3 years ago
What is the vertex of the graph of f(x) = |x + 5| – 6?
Ket [755]
The vertex of the graph f(x)= lx+5l-6 is...
(-5,-6)
This is because of the picture above.

Hope this helps

7 0
3 years ago
Read 2 more answers
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