Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that 
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
When 
We have that:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Answer:
5^11
Step-by-step explanation:
5^7/5^-7 is basically 5^7x5^7 which is 5^14. 5^14x5^-3 is 5^11.
Let's solve your equation step-by-step.
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
<em>Step 1: Simplify both sides of the equation.
</em>
−66.17738=6.618(4.3x+1.1)−7.1(x−6.8)
−66.17738=(6.618)(4.3x)+(6.618)(1.1)+(−7.1)(x)+(−7.1)(−6.8)(Distribute)
−66.17738=28.4574x+7.2798+−7.1x+48.28
−66.17738=(28.4574x+−7.1x)+(7.2798+48.28)(Combine Like Terms)
−66.17738=21.3574x+55.5598
−66.17738=21.3574x+55.5598
<em>Step 2: Flip the equation.
</em>
21.3574x+55.5598=−66.17738
<em>Step 3: Subtract 55.5598 from both sides</em>.
21.3574x+55.5598−55.5598=−66.17738−55.5598
21.3574x=−121.73718
<em>Step 4: Divide both sides by 21.3574.
</em>
21.3574x
21.3574
=
−121.73718
21.3574
<u>x=−5.7</u>
Length of rectangle = 5 less than 2x width
Perimeter = 146 cm
<u>Equations we will use...</u>
w = width
(2w - 5) = length (l)
perimeter (p) = 2(l + w)
<u>Substitute equation for </u><u>length</u><u> into equation for </u><u>perimeter</u>
p = 2(l + w)
146 = 2((2w - 5) + w) [use distributive prop.]
146 = 4w - 10 + 2w [combine like terms]
146 = 6w -10 [solve for w]
156 = 6w
w = 26 cm
<u>Now substitute width back into the </u><u>equation</u><u> for length...</u>
l = 2w - 5
l = 2(26) - 5
l = 47
Double check to make sure values added up to 146 cm
w + w + l + l = 146
26 + 26 + 47 + 47 = 146
146 = 146
Therefore, the width is 26 cm and the length is 47 cm.
