A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.
Required:
a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.
b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?
Answer:
a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%
b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%
Step-by-step explanation:
We have to find
a) P(X>40)= 1- P(x=40)
Using the z statistic
Here
x= 40 mph
u= 44mph
σ= 3 mph
z=(40-44)/3=-1.33
From the z-table -1.67 = 0.9082
a) P(X>40)=
Probability exceeding the speed limit = 0.9082 = 90.82%
b) P(50<X<55)
Now
z1 = (50-44)/3 = 2
z2 = (55-44)/3= 3.67
Area for z>3.59 is almost equal to 1
From the z- table we get
P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)
= P(2 < z < 3.67)
= P(z<3.67) - P(z<2)
= 1 - 0.9772
= 0.0228
or 2.28%
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answer:
Vg
Step-by-step explanation:
All the others are decimals
pls give thanks, 5 star, brainliest
Evaluate the following expression for m=9
Answer:
That is 4
Step-by-step explanation: First you need to substitute 9 in for m. Then multiply 4 x 9 to get 36. Then the square root of 36 is 6. Lastly 6-2 equals 4.
i realy need help with this: 2 2/3 divided by 9
Answer:
8/27
Step-by-step explanation:
2 2/3 = 8/3
8/3 divided by 9 =
8/3 x 1/9 =
8/27
I HAVE 10 min to finish PLEASE I NEED HELP WITH MATH
Answer:
90 degrees
Step-by-step explanation:
PLS HELP ME NOW THERE DIFFERENT QUESTIONS
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
A swimming pool has a leak and is losing 23.5 gallons of water every 5 days. What is the average change in water volume each day?
Step-by-step explanation:
If you divide the distance by the elapsed time, the result will be the rate of water loss (evaporation). To convert this evaporation rate in to gallons lost over a specific time period, you will need convert the measure into a volume. WTG GLAD U GOT IT RIGHT..
EMERGENCY!!!!
I have fallen and can't get up.
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
what is F?
H is 5m
I is 8m
G is 10m
Answer: F is 11m.
Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.
which equation represents a line parallel to the y axis?
A: y=x
B: x=4
C: y=4
D: y=x+4
PLEASE HELP ME ILL GOVE BRAINLY OR WHATEVER
?
What is the y-intercept of f(x) =(1/4)^x
a. (0,1)
b. (0,0)
c. (1,0)
d. (1, 1/4)
Answer:
(0,1)
Step-by-step explanation:
i recommend if you ever need a faster answer use desmos!
The guidance office at a high school surveyed their 12th grade students to know in which of four states they would prefer to live in after highschool. The results are summarized in the tso way frequency table below.
Which two-way table accurately represents the relative frequency for the whole table in this situation?
Hence, the two way frequency table is:
Action Drama Comedy total
Highschool 26/128=0.20 14/128=0.11 22/128=0.17 0.48
College 20/128=0.16 28/128=0.22 18/128=0.14 0.52
----------------------------------------------------------------------------------------------------------
total 0.36 0.33 0.31 1
Step-by-step explanation:
" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .
We are given a table or data as:
Action Drama Comedy Total
Highschool 26 14 22 62
College 20 28 18 68
------------------------------------------------------------------------------------------------------------
Total 46 42 40 128
The total number of students in all the categories and classes are: 128
Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.
Action Drama Comedy total
High school 26/128=0.20 14/128=0.11 22/128=0.17 0.48
College 20/128=0.16 28/128=0.22 18/128=0.14 0.52
----------------------------------------------------------------------------------------------------------
total 0.36 0.33 0.31 1
Answer:
It would be the first table (taking the test right now) p.s sorry if im late
Step-by-step explanation:
CA TX NY FL Total
Boys 0.21 0.095 0.16 0.11 0.575
Girls 0.125 0.11 0.065 0.125 0.425
Total 0.335 0.205 0.225 0.235 1
7.4 divided by 92.5 will have the same quotient as 74 divided by 925?
Yes because in it's the same variable do it will give the same answer
4j = 0.7 Solve for j
Answer:
0.175
Step-by-step explanation:
[tex]\frac{4j}{4} =\frac{0.7}{4}[/tex]
j=0.175
realiza las siguientes adiciones y halla abc
2+22+222+2222+...+22 222 222=abc
Answer:
sssssssssiiiiiiiiiiiiii
Answer:
6
Step-by-step explanation:
What transformation has occurred
Answer:
Step-by-step explanation:
distributive
1. What is 5% of 224?
Answer:
11.2
Step-by-step explanation:
224 x 0.05 = 11.2
Hope this helped!
i believe it is 12.2
One-third of the total number of marbles in a jar are blue and green. There are 24 blue marbles and 18 green marbles. How many marbles are in the jar?
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
126 marbles
Step-by-step explanation:
24 - blue
18 - green
42 are blue or green
let 't' = total number of marbles
1/3t = 42
t = 42 x 3 = 126
Question 14 options: x−93=28 Solve for x.
Answer:
x = 121
Step-by-step explanation:
In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.
Answer:
121
Step-by-step explanation:
x-93=28
x=28+93
x=121
How long will it take to run up to ∞ kilometers per hour?
Answer:
About 30 min
Step-by-step explanation:
Six out of the 12 members of the school choir are boys. In simplest form, what fraction of the choir is boys?
Answer:
1/2
Step-by-step explanation:
Drag the point A to the location indicated in each
scenario to complete each statement.
Answer:
The answer is...
1: quadrant III
2: quadrant II
3: quadrant IV
4: quadrant I
Step-by-step explanation:
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
What is Coordinate system?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The point A to the location indicated in each scenario.
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||
If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||
If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V
If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
Hence, A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
To learn more on Coordinate system click:
https://brainly.com/question/4726772
#SPJ2
I need help ASAP please giving brainliest!
Answer:
20.00
Step-by-step explanation:
Answer:
$20.00
Step-by-step explanation:
Can u guys help me quick plz I will make brainliest (I need help with 32)plzzzz
Answer:
A
Step-by-step explanation:
Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
Answer:
[tex]P(L\ or\ C) = 0.13[/tex]
Step-by-step explanation:
Given
Represent loose threads with L, Crooked stitching with C.
So, we have:
[tex]P(L) = 6.5\%[/tex]
[tex]P(C) = 9.5\%[/tex]
[tex]P(L\ and\ C) = 3\%[/tex]
Required
Calculate P(L or C)
In probability:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]
In this case:
[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]
Substitute values for P(L), P(C) and P(L and C)
[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]
[tex]P(L\ or\ C) = 13\%[/tex]
Convert to decimal
[tex]P(L\ or\ C) = 0.13[/tex]
Hence:
The required probability is 0.13
A scale model of an object is 6 inches tall. The actual object is 324 feet tall. What is the scale factor of the model
Answer: try downloading an app for math
Step-by-step explanation:
It helps me
Please answer whoever answer correct gets a brainlest Which character trait of Kim’s does the narration revel in this passage
Answer:
She is determined
Step-by-step explanation:
Answer:
Determined
Step-by-step explanation:
A multiple of a number is the power of a number
Step-by-step explanation:
very unique nice speech for a number lol
James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. How
many minutes will it take Jenny and James to eat a combined total of 100 jellybeans?
Answer:
5 mins.
Step-by-step explanation:
hope his helps good luck
Answer:
5 minutes
Step-by-step explanation: