1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mr_godi [17]
3 years ago
13

A person's home to work commute on a wintery morning involves traveling on Highway A, Highway B, and then Highway C. The person

cannot make it to work if one or more of the roadway segments is icy. The probability of Highway A being icy is 0.1, Highway B being icy is 0.15, and Highway C being icy is 0.15. Assume the highways being icy is independent. Calculate the probability that the person will not make it to work.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

Probability = 0.35

Step-by-step explanation:

Given :-

  • Probability (Highway A Icy) = 0.1
  • Probability (Highway B Icy) = 0.15
  • Probability (Highway C icy) = 0.15

So :-

  • Probability (Highway A not icy) = 1 - 0.1 = 0.9
  • Probability (Highway B not icy) = 1 - 0.15 = 0.85
  • Probability (Highway C not icy) = 1 - 0.15 = 0.85

Probability of person not getting to work timely

=  Probability [Even one of the highway A, B or C is icy]

= 1 - Probability [None of Highway A, B, C is icy]

Since these are independent events, So :-

= Prob. [Highway A not icy & Highway B not icy & Highway C not icy]

= 1 - ( 0.9 x 0.85 x 0.85)

= 1 - 0.65

= 0.35

You might be interested in
Write two polynomials whose sum is x to the second power and whose difference is 1
Alex777 [14]

Answer:

Therefore, the  first polynomial is:

Z=\frac{1}{2}x^2+\frac{1}{2}\\

the second polynomial is:

Y=\frac{1}{2}x^2-\frac{1}{2}\\

Step-by-step explanation:

We assume that: Z is first polynomial and Y is second polynomial.

Therefore, we have

Z+Y=x^2\\\\Z-Y=1\\\\\implies Z+Y+Z-Y=x^2+1\\\\2Z=x^2+1\\\\Z=\frac{1}{2}x^2+\frac{1}{2}\\

now, we get

\implies Z+Y-Z+Y=x^2-1\\\\2Y=x^2-1\\\\Y=\frac{1}{2}x^2 -\frac{1}{2}

Therefore, the  first polynomial is:

Z=\frac{1}{2}x^2+\frac{1}{2}\\

the second polynomial is:

Y=\frac{1}{2}x^2-\frac{1}{2}\\

6 0
3 years ago
6(2b+5)=12b×30<br>What did Joseph do wrong and whats the correct answer<br>​
stiks02 [169]

Answer:

he placed a * sign instead of an add sign in the second part of the equation

Step-by-step explanation:

6(2b+5)=6*2b + 6*5 = 12b + 30

4 0
3 years ago
Which equation in slope-intercept form represents a line that passes through the point (6,−1) and is perpendicular to the line y
damaskus [11]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: y = 2x-7

m_ {1} = 2\\2 * m 2 = - 1\\m_ {2} = - \frac {1} {2}

Thus, the equation is of the form:

y = - \frac {1} {2} x + b

We substitute the point:

-1 = - \frac {1} {2} (6) + b\\-1 = - \frac {1} {2} (6) + b\\-1 = -3 + b\\-1 + 3 = b\\b = 2

Finally, the equation is:

y = - \frac {1} {2} x + 2

Answer:

y = - \frac {1} {2} x + 2

6 0
3 years ago
Homeowrk help
Viktor [21]
✡ When subtracting negatives, your going to do the same thing has subtracting without negatives.

-4 - -3= -1

- - Hope this helps! - - 
7 0
4 years ago
The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to ar
Lilit [14]

Answer:

C) 11

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    

And on this case we have that ME =7 and we are interested in order to find the value of n, if we solve n from the last equation we got:

n=(\frac{z_{\alpha/2} s}{ME})^2  

And replacing the values that we got we have:

n=(\frac{1.64(14)}{7})^2 =10.758 \approx 11

C) 11

8 0
4 years ago
Other questions:
  • The expression 2x+50 represents the elevation above sea level, in meters, of a rock climber after x minutes of climbing. What is
    14·1 answer
  • What is the perimeter of this tile 6 in and 2 in
    8·1 answer
  • Help if u do both I’ll mark Brainlynest
    9·2 answers
  • Can someone please answer this worksheet for me. I would be really thankful if you do so. ​
    9·1 answer
  • Howard downloaded 6 more songs than Erin. Lee downloaded 3 more than Howard. Lee downloaded 16. How many songs did Erin dowy
    11·1 answer
  • ANSWER QUICK PLS WILL MARK BRAINLIEST
    12·1 answer
  • Solve the problem<br><br> 3 x 5/8
    14·2 answers
  • Hey! i’ll give brainliest please help!
    15·2 answers
  • Which scatterplot shows a linear association?
    10·2 answers
  • Kyle collects rainwater in two barrels. Last week one barrel collected 1.46 gallons of rainwater. The other barrel collected 0.7
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!