Answer:
The probability that exactly four road construction projects are currently taking place in this city is 0.168.
Step-by-step explanation:
Let X denote the number of road construction projects that take place at any one time in a certain city.
It is provided that X follows a Poisson distribution with parameter λ = 3.
Then the probability mass function of X is:
[tex]p_{X}(x)=\frac{e^{-\lambda}\cdot \lambda^{x}}{x!};x=0,1,2,3...[/tex]
Compute the probability that exactly four road construction projects are currently taking place in this city as follows:
[tex]P(X=4)=\frac{e^{-3}\cdot 3^{4}}{4!}[/tex]
[tex]=\frac{0.04979\times 81}{24}\\\\=0.16804125\\\\\approx 0.168[/tex]
Thus, the probability that exactly four road construction projects are currently taking place in this city is 0.168.
Using the Poisson distribution, it is found that there is a 0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.
We have only the mean for the discrete distribution, hence, the Poisson distribution is used.
Poisson distribution In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is of 3, hence [tex]\mu = 3[/tex].
The probability that exactly four road construction projects are currently taking place in this city is P(X = 4), hence:
[tex]P(X = 4) = \frac{e^{-3}3^{4}}{(4)!} = 0.1954[/tex]
0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.
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Hello please help will give brainliest!
Answer:
I'm pretty sure it's A because it's measured with Miles pH no hour per mile
Answer:
A
Hope this helped ;)
NEED HELP WITH MATH! Will Give brainliest! Picture of problem is below
Answer:
2
Step-by-step explanation:
√3x-1=7 solve for x. What is the root? If there is no root, choose none.
Mandy took a total of 6 quizzes over the course of 3 weeks. At this rate, attending 5 weeks of school this quarter, how many quizzes will Mandy have taken?
Answer
2 is the unit rate
Step-by-step explanation:
6/3 =2x5=10
Answer:
2
Step-by-step explanation:
Write a linear equation for the line that passes
through the two points (-6, 7) and (-3, 6). Show all
work
Answer:
y=-1/3x+5
Step-by-step explanation:
to find the slope you have to use the equation y₂-y₁/x₁-x₂
which will give you 6-7/-3-(-6) --> -1/3
the product of this equation is your slope
-3= 6 +?
Help ASAP!!
Answer:
-9
Step-by-step explanation:
-3 = 6 - 9
-3 = -3
mang 2) Write the equation of a line that is parallel to –3x + 2y = 6 and goes through the point (-1,-4).
Step-by-step explanation:
[tex]y - y1 = m(x - x1)[/tex]
[tex]y - ( - 4) = \frac{3}{2} (x - ( - 1)[/tex]
[tex]y = \frac{3(x + 1) - 8}{2} [/tex]
[tex]y = \frac{3}{2} x - \frac{5}{2} [/tex]
3) Which of the following is the slope of a line that is parallel to the line y = 8x + 3
Answer:
8 is slope
Step-by-step explanation:
if it is parallel it is the exact same slope and this equation has a slope of 8
Translate the sentence into an equation.
Five more than the product of a number and 2 equals 9.
Use the variable w for the unknown number.
Answer:
(w * 2) + 5 = 9
Explanation:
Product means multiplication. Five more than means adding 5. So, add five to the answer of w times 2 is 9.
(w * 2) + 5 = 9
Thus the equation is 5 + 2w = 9 and the unknown number is 2.
Given,
Five more than the product of a number and 2 equals 9.
We will use the unknown number as w.
We will form an equation.
Find the equation.
Let the unknown number be w.
"Five more than the product of a number and 2 equals 9".
we can write this as:
5 + w x 2 = 9
5 + 2w = 9
Find the unknown number.
We have,
5 + w x 2 = 9
5 + 2w = 9
Subtract 5 on both sides.
5 + 2w - 5 = 9 - 5
2w = 4
Divide both sides by 2.
w = 2
Thus the equation is 5 + 2w = 9 and the unknown number is 2.
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The degree of the polynomial function f(x) is 3.
The roots of the equation f(x)=0 are −4, 0, and 2.
Which graph could be the graph of f(x)?
Answer:
there is no image
Step-by-step explanation:
meredith deposited $200 into an account
When does a quadratic equation have no solutions
Answer:
A quadratic equation has solutions when the graph crosses the x-axis. There are two ways the graph can have no solution, when the "a" value is greater than 0 and is translated vertically above the x-axis, or if the opposite occurs, when the "a" value is negative and is translated vertically below the x-axis.
What is the solution to this system of equations?
y = x + 6
y = -0.5x + 3
A. (2, -1)
B. (-2,4)
C. (-1,2)
D. (4,-2)
For the number line shown, which statement is not true?
A number line shows a to the left of 0 and b to the right of 0. Point a is closer to 0 than point b.
|a| > b
–|b| a
|a| < |b|
Answer:
1a8?
Step-by-step explanation:
thi is how
The incorrect statement for the given condition is;
⇒ |a| > b
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.
Now,
Since, Point a is closer to 0 than point b.
And, Number 'a' to the left of 0 and 'b' to the right of 0.
Hence,
Let the number 'a' = - 1
Then, The number 'b' = 2
So, We get;
|a| = |-1| = 1
And, |b| = 2
Clearly, |a| < b
Thus, The incorrect statement for the given condition is;
⇒ |a| > b
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The mean income per household in a certain state is $9500 with a standard deviation of $1750. The middle 90% of incomes are between what two values
Answer: The middle 90% of incomes are between $6621.25 and $12378.75 .
Step-by-step explanation:
The critical z-value for 90% confidence = 1.645
Given: Mean income per household = $9500
standard deviation = $1750
then, middle 90% of incomes are between $(9500-(1.645)(1750)) and (9500+(1.645)(1750))
i.e. middle 90% of incomes are between $6621.25 and $12378.75.
Hence, the middle 90% of incomes are between $6621.25 and $12378.75 .
The time needed to complete a job is normally distributed with a mean of 1 hour and standard deviation of 10 minutes. Probability to complete the job in hone hour or more, but less than 70 minutes is:
Answer:
The value is [tex]P(60 < X < 70) = 0.34134[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 1 \ hour = 60 \ minutes[/tex]
The standard deviation is [tex]\sigma = 10 \ minutes[/tex]
Generally the 1 hour is equivalent to 60 minutes
Generally the probability to complete the job in one hour or more, but less than 70 minutes is mathematically represented as
[tex]P(60 < X < 70) = P(\frac{60 - 60 }{10 } < \frac{X - \mu}{\sigma } < \frac{70 - 60 }{10 } )[/tex]
=> [tex]P(60 < X < 70) = P(0 < \frac{X - \mu}{\sigma } < 1 )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(60 < X < 70) = P(0 <Z < 1 )[/tex]
=> [tex]P(60 < X < 70) = P(Z < 1) - P(Z < 0 )[/tex]
From the z table (Z < 1) and (Z < 0 ) is
[tex]P(Z < 1) = 0.84134[/tex]
and
[tex]P(Z < 0 ) = 0.5[/tex]
=> [tex]P(60 < X < 70) = 0.84134 - 0.5[/tex]
=> [tex]P(60 < X < 70) = 0.34134[/tex]
Simplify 2y-3x2 +6x2 - 3y
Answer:3
x2−y
Step-by-step explanation:
Can somebody help me with this problem?
Answer:
You need to use y=mx+b
In this case, m=1.5 so that means that y=1.5x
Now you must find out the y intercept which is "b" in y=mx+b
I think it is the first one (y=1.5x+72)
====================================================
Explanation:
The given slope is m = 1.5
We want the line to go through (x,y) = (6,72). This means x = 6 and y = 72 pair up together.
We'll plug those m, x, and y values into the equation below to solve for b
y = mx+b
72 = 1.5*6+b
72 = 9+b
72-9 = b ... subtract 9 from both sides
63 = b
b = 63 ... y intercept
-------------------
Since m = 1.5 and b = 63, we go from y = mx+b to y = 1.5x+63
b) how would
You work out 7 2/3 + 2 1/5
Answer:
9 13/15
Step-by-step explanation:
Find a common denominator which is 15
2 10. 1. 3
— = ——. —— = ——
3 15 5 15
7 + 2 = 9
10/15 + 3/15 = 13/15
9 13/15
Answer:
Step-by-step explanation:
7+2=5
I would convert 2/3 into 10/15 and convert 1/5 into 3/15 and add
10/15 + 3/15 = 13/15 and the answer would be
5 13/15
Do we flip the inequality 2x<-6
No.
When you divide by a positive value you do not flip the inequality, only when dividing by a negative value.
2x < -6
To solve for c you divide both sides by 2, which is a positive value so the inequality stays the same:
X < -6/2
X < -3
Simplify and determine the coefficient of (-2/3x)(3y)(-2x). 4,-4,1/3,1
Answer:
4
Step-by-step explanation:
on edge
which ordered pair is a solution of the equation y=4x?
a-(1,3)
b-(-1,-4)
c-(-4,-1)
d-(1,-4)
Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this equation? Is x = 4 a solution to this equation? Explain your reasoning in each case.
Answer:
yes x=4
Step-by-step explanation:
may this will support you
Put these fractions in order of size, smallest to largest 1/4, 1/2, 1/3
Answer:
From smallest to largest 1/4, 1/3,1/2
Step-by-step explanation:
As the data suggests: 1/4 would be the smallest, 1/3 is in the middle, and 1/2 is the largest sum.
1/4 = 0.25
1/3 ≈ 0.33
1/2 = 0.5
The fractions in order of size, smallest to largest, 1/4, 1/3, 1/2
Used the concept of ascending order that states,
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right.
The numbers arranged in order from least to the greatest number is called Ascending order.
Given that,
The fraction is,
1/4, 1/2, 1/3
Now evaluate the fractions as
1/4 = 0.25
1/2 = 0.5
1/3 = 0.33
After arranging the number into ascending order, we get;
0.25, 0.33, 0.5
Or, 1/4, 1/3, 1/2
Therefore, the fractions in order of size, smallest to largest is,
1/4, 1/3, 1/2
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Write a polynomial function that has a leading coefficient of 1, and the given zeros
at 3, 5, and -i.
9514 1400 393
Answer:
p(x) = x^4 -8x^3 +16x^2 -8x +15
Step-by-step explanation:
Assuming you want real coefficients, the imaginary root means its conjugate is also a root. In factored form, the polynomial is ...
p(x) = (x -3)(x -5)(x -i)(x +i) = (x^2 -8x +15)(x^2 +1)
p(x) = x^4 -8x^3 +16x^2 -8x +15
What is the distance form X to the rock ? Plz help
Answer:
50 or 60 feet
Step-by-step explanation:
An a plane flies 3.705 miles in 75 hours What is the speed of the airplane in miles per hour? Use the equation d = it, where d is distance is rate and tis time
The airplane's speed is miles per hour?
Answer:
20.243. (Rounded to the nearest hundredths)
Step-by-step explanation:
75 ÷ 3.705 = 20.24291498
Luis bought stock at $50.70. The next day, the price increased $17.75. This new price changed by -3-%
3
4
the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable?
Complete the explanation.
Answer:
Starting price is $50.70.
Next day the price is $50.70 + $17.75 = $68.45
This price then changed by: [tex]-3\frac{3}{4}\%=-3.75\%[/tex].
So in order to calculate that we do: [tex]68.45 - (3.75/100*68.45)=65.883125 =\$65.88[/tex]
Therefore final price is $65.88.
Yes, this is reasonable.
4. What is the equation of a line perpendicular to 2x - 8y = 3 that contains the point (-8, 11)?
A. 2x - 8y = 104
C. 8x + 2y = 42
B. 2x + 8y = 104
D. 8x - 2y = 86
Answer:
C
Step-by-step explanation:
It's y=-4/1-21
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line is y = (-1/2)x + 7
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Let the equation of the line is y = m(1)x + c
The line is perpendicular to 2x - 8y = 3
The means,
2x - 8y = 3
-8y = 3 - 2x
y = -(3 - 2x)
y = -3 + 2x
y = 2x - 3
This is in the form of y = m(2)x + c
m(2) = 2 and c = -3
Now,
The line y = m(1) + c is perpendicular to y = m(2) + c
So,
m(1) x m(2) = -1
m(1) = -1/2
Now,
The line contains (-8, 11) = (x, y).
This means,
y = m(1)x + c
11 = (-1/2) x -8 + c
11 = 4 + c
c = 11 - 4
c = 7
Now,
The equation of the line is y = (-1/2)x + 7
Thus,
The equation of the line is y = (-1/2)x + 7
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Allison buys a spool of thread for sewing. There are 10 yards of thread on the spool. She uses 9 meters. How much thread is left on the
spool in meters? Round your answer to the nearest thousandth, if necessary.
The amount of meters left is 0.144 meters
First and foremost, it should be noted that: 1 yard = 0.9144 meter
Therefore, 10 yards to meters will be:
= 0.9144 × 10
= 9.144 meters
Since Allison uses 9 meters, the amount of thread that is left on the
spool will be:
= 9.144 meters - 9 meters
= 0.144 meters
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