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
kodGreya [7K]
3 years ago
15

Suppose the time required for an auto shop to do a tune-up is normally distributed, with a mean of 102 minutes and a standard de

viation of 18 minutes. What is the probability that a tune-up will take more than 2hrs? Under 66 minutes?
Mathematics
1 answer:
hammer [34]3 years ago
4 0

Answer:

Step-by-step explanation:

Suppose the time required for an auto shop to do a tune-up is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = points scored by students

u = mean time

s = standard deviation

From the information given,

u = 102 minutes

s = 18 minutes

1) We want to find the probability that a tune-up will take more than 2hrs. It is expressed as

P(x > 120 minutes) = 1 - P(x ≤ 120)

For x = 120

z = (120 - 102)/18 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.8413

P(x > 120) = 1 - 0.8413 = 0.1587

2) We want to find the probability that a tune-up will take lesser than 66 minutes. It is expressed as

P(x < 66 minutes)

For x = 66

z = (66 - 102)/18 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

P(x < 66 minutes) = 0.02275

You might be interested in
This is geometry. Please help explain this.
lina2011 [118]
Sorry I don’t now Gemini
5 0
3 years ago
What number has a 9 with a value ten times as many as the 9 in 39,154
Tomtit [17]

Answer:

Any number with 9 in the ten-thousands place. 90,000 is one such number.

Step-by-step explanation:

The 9 in 39,154 is in the thousands place. Its value is 9,000. In order for the 9 in a number to have a value 10 times that, or 90,000, the 9 must be in the ten-thousands place.

There are an infinite number of such numbers. We suspect you have a list you are to choose from. Pick the number with 9 where it is in the number 90,000.

8 0
3 years ago
Point A has the coordinates (2,2). What are the coordinates of its image point if it is translated 2 units up and 5 units to the
Marysya12 [62]
A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes 

<span>(2 - 5 , 2 + 2) = (-3,4) </span>

When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes 

<span>(-3,-4)</span>
5 0
3 years ago
Graph the linear equation x-3y=-6
TEA [102]

Answer:

Step-by-step explanation:

One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.

x-3y=-6 → -3y = -x - 6,  or 3y = x + 6.

Dividing both sides by 3, we get   y = (1/3)x + 2.

So the slope of this line is 1/3 and the y-intercept is 2.

Plot a dot at (0, 2).  This is the y-intercept.  Now move your pencil point from that dot 3 spaces to the right and then 1 space up.  Draw a line thru these two dots.  End.

Alternatively, you could use the intercept method.  We have already found that the y-intercept is (0, 2).  To find the x-intercept, let y = 0.  Then x = -6, and the x-intercept is (-6, 0).

Plot both (0, 2) and (-6, 0) and draw a line thru these points.  Same graph.

7 0
3 years ago
Read 2 more answers
PLS help!!
prohojiy [21]

Answer:

is the root of 5 not equal why

8 0
3 years ago
Other questions:
  • The lines below are perpendicular if the slope of the green line is 2/3 what is the slope do the red line
    9·1 answer
  • Studt the list of numbers and use it’s pattern to predict the next three numbers describe the pattern
    12·2 answers
  • Can anyone help me with this math question it’s difficult?
    10·1 answer
  • An A grade will be given to students having at least 450 total test points. There are two more tests to take before the semester
    13·1 answer
  • Tiffany wanted belgian waffles for breakfast while on her dream vacation.
    11·2 answers
  • If a string that is 15.5 inches long is cut into equal peices that are 1.25 inches long how many prices of ribbon can be created
    12·1 answer
  • A relation is given in the table below. Write out the ordered pairs for the inverse, and then determine if the inverse is a func
    13·2 answers
  • Classify the triangle according to the side length and angle measurement
    7·2 answers
  • 8+0=0+8 is what property
    7·2 answers
  • HELPPPPPP HELPPP!!!!!!!! ASAPPPP PLS AHHHHHHH
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!