We know that if Two Complex Numbers (p + qi) and (a + bi) are said to be Equal then (p = a) and (q = b)
Given : (2x + 5) + (1 - y)i = -3 - 4i
⇒ 2x + 5 = -3
⇒ 2x = -3 - 5
⇒ 2x = -8
⇒ x = -4
Option 2 is the Answer
2x + 5 + i - yi = -3 - 4i
2x - yi = -8 - 5i
2x = -8 - 5i - yi
2x = -8 -i(5-y)
2(-4) = -8 -i(5-y)
0 = -i(5-y)
0 = 5 - y
-y = -5
y = 5
If x = -4, y is a real number.
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The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
Given the following parameters
If the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
Using the binomial distribution, it is found that there is a 0.0369 = 3.69% probability that 3 or more were involved in an accident last year.
For each driver, there are only two possible outcomes, either they were involved in an accident, or they were not. The probability of a driver being involved in an accident is independent of any other driver, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
In this problem:
The probability is:
In which:
Then
0.0369 = 3.69% probability that 3 or more were involved in an accident last year.
To learn more about the binomial distribution, you can check brainly.com/question/24863377
Answer:
Therefore the probability that 3 or more were involved in an accident last year is 0.376.
Step-by-step explanation:
Binomial distribution:
A discrete random variable X having the set {0,1,2.....,n} as the spectrum, is said to have binomial distribution with parameter n= the number of trial and p = probability of getting successes in one trial if the p.m.f of X is give by
for x=0,1,2,....,n
=0 elsewhere
where , n is a positive integer and 0<p<1.
Given that,
7% of all drivers were involved in an accident last year that was determined by a car insurance company.
p= 7%=0.07, n=11, x=3
P(X≥3)
= 1-P(X≤2)
= 1- P(X=0)-P(X=1)-P(X=2)
=1-0.624
≈0.376
Therefore the probability that 3 or more were involved in an accident last year is 0.376.
A. 10a^4b^3
B. 3a^4b^4
C. 10a^4b^4
D. 3a^4b^3
B.6, –6
C.9, –9
D.36, –36
Answer: A) 530
Step-by-step explanation:
1000-470=530
To find out how many tens are needed to add to 470 to equal 1000, subtract 470 from 1000 and divide the difference by 10.
To find out how many tens are needed to add to 470 in order to equal 1000, we need to subtract 470 from 1000. This will give us the difference, which is 530. Since each ten is worth 10, we divide the difference by 10 to find out how many tens are needed. So, 530 divided by 10 equals 53. Therefore, the correct option is C) 53.
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