Answer:
54.03% probability that a randomly selected road has between 128 and 136 potholes per 10 miles.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the probability that a randomly selected road has between 128 and 136 potholes per 10 miles.
This probability is the pvalue of Z when X = 136 subtracted by the pvalue of Z when X = 128. So
X = 136
has a pvalue of 0.8849.
X = 128
has a pvalue of 0.3446.
0.8849 - 0.3446 = 0.5403
54.03% probability that a randomly selected road has between 128 and 136 potholes per 10 miles.
How many cubes with the side lengths of 1/2 cm does it take to fill the prism? 1 x 2 x 3/2 as the measurements.
Answer:
24
Step-by-step explanation:
Volume to fill = 1 x 2 x 3/2 = 3 cm^3
Volume of cube to fill this volume 1/2 * 1/2 * 1/2 = 1/8 cm^3
3/ (1/8) = 24
Write an equation of the line in the slope-intercept form from each of the following. the y-intercept of 2, the slope is 4
Answer:
y=4x+2
Step-by-step explanation:
Hi there!
We are given that a line has a y intercept of 2, and a slope of 4
We want to write the equation of that line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.
First, substitute 2 as the y intercept (b)
y=mx+2
Now substitute 4 as the slope (m)
y=4x+2
We have found the equation of the line.
Hope this helps!
See more on this subject here: https://brainly.com/question/12232875
B
45°
71°
E
27°
A
D
11. What is mBAC
Answer:THE ANSWER IS B MY GUY
Step-by-step explanation:
Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders. She recorded data for a sample of 350350350 recent visits. Here are the results: Feeder \#1#1\#, 1 \#2#2\#, 2 \#3#3\#, 3 \#4#4\#, 4 Observed visits 808080 909090 929292 888888 Ciara wants to perform a \chi^2χ 2 \chi, squared goodness-of-fit test to determine if these results suggest that birds visit one specific feeder more often than the other feeders. What is the expected count of visits to the third feeder? You may round your answer to the nearest hundredth.
The expected count of visits is the mean or average visits to each feeder
The expected count of visits to the third feeder is 87.5
How to determine the expected count of visit?The table of values is given as:
Feeder 1 2 3 4
Observed visits 80 90 92 88
In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed
So, the expected count is calculated using:
Expected count =Visits/Feeders
This gives
Expected count = 350/4
Evaluate the quotient
Expected count = 87.50
Hence, the expected count of visits to the third feeder is 87.5
Read more about chi square goodness of fit test at:
https://brainly.com/question/4543358
Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people
Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
Learn more about statistics in brainly.com/question/8058700
I need help with this
Answer:
104
Step-by-step explanation:
8x3=24 then you carry over the 2 and 8x1=8 and 8+2=10 so the awnser is 104
Briana has 3/4 pound of rabbit food. She feeds her rabbit 1/12 pound each day. How many days can Briana feed her rabbit with the food she has?
Find five numbers so that the mean, median, mode and range is 4.
Answer:
Let’s break this apart
Well we know the median has to be 4
Since it’s 5 numbers the middle number has to be 4 since its the median.
Let’s put in what we know.
a, b, 4, d, e
Constraints:
There has to be more then 1 “4”.
e-a = 4
So using that information lets solve since the possibility is almost endless
SO lets make e 5 and a 1.
1, b, 4, d, 5
There has to be more then 1 4 so lets put that as b.
We can solve for the last remaining digits.
1+ 4 + 4 + d + 5 / 5 = 4
14 + d /5 = 4
2.2 + d = 4
1.8 = d
So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.
1, 1.8, 4, 4, 5
Thats your 5 numbers right there.
Check:
Mode is 4: yes!
Range is 4: 5-1 = 4 yes!
Median is 4: yes!
Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!
Every thing checks out.
There could be a lot of possibilities.
For example take this wrong one
Lets make the same exact thing except change the a and the e.
THis is what we have,
a, b, 4, d, e
Lets make e and a as 6 and 2. 6-2 is still 4 so its possible.
2, b, 4, d, 6
And of course we need more then 1 4 so lets make d 4.
2, b, 4, 4, 6
Now solve for b in the mean.
2 + b + 4 + 4 + 6 / 5 = 4
16 +b /5 = 4
3.2 + b = 4
Solve
B = 0.8
This doesn’t work cause the median and the range has constraint here…
When doing a median, it has to be in ORDER.
2, 0.8, 4, 4 , 6 isn’t in order
ANd even when put in order.
0.8, 2, 4, 4, 6
THe range has the constraint here becuase 6 - 0.8 isn’t 4.
PLEASE HELP I WILL GIVE BRAINLIEST
180-135=45
Step-by-step explanation:
the angles should total 360.
the opposite angle R is 135 and is equal to P
S is equal to Q so that can help
HELP PLEASE ITS DUE TODAY
The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.
Find the area of the parallelogram.
3 cm
5 cm
Answer:
Area = Base ×Height
Step-by-step explanation:
Area = Base × Height
Area = 3cm × 5cm
Area = 15cm
Area of the parrallelogram is 15cm
On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
113.04 ft
B.
226.08 ft
C.
4,069.44 ft
D.
16,277.76 ft
Answer:
[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]
Step-by-step explanation:
Given:
distance from center to the edge(Radius) of playground = 36 feet
To find:
Circumference of playground=?
Solution:
we know that,
Circumference of circle = 2πr
substituting the radius value in above formula,
[tex]2 \pi r = 2 \times 3.14 \times 36 = 226.08 \: ft[/tex]
[tex]\fbox{\fbox{Circumference = 226.08 feet}}[/tex]
Thanks for joining brainly community!
Answer: 226.08ft
Step-by-step explanation: we are finding the circumference of a circle so we will make 3.14 times 2 times 36 as it is a radius I think .
3.14 ×2×36=226.08 and the units is feet . Hope it helps buddy
Calculate the determinant of this matrix:
What is the first step?
Step 1: Augment the matrix by copying columns 1 and 2 to the right of the matrix
Step 2: Find the products along the main diagonals
d1= 4
d2= 0
d3= 3
Step 3: Find the products of the minor diagonals
e1= 0
e2= 16
e3= 2
Step 4; Perform the final calculation
d1+d2+d3-e1-e2-e3= -11
(Got them all right on edge 2022)
Why did you ask this, but also answer it?- Lol thank you for the points though I guess...
Answer:
thank you they are all correct!
Step-by-step explanation:
can anyone pls answer dis math problem
Answer:
the answer would be 3x^2 + 29x + 6/15x(x+2)
-3(10)
Simplify
[Multiplication with integers]
Answer:
[tex]\boxed{\sf{-30}}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is solve by order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract-3(10)First, remove parenthesis.
Multiply.
-3*10
Solve.
[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]
-30
Therefore, the correct answer is -30.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
-30
Step-by-step explanation:
it is adding 10 three times, but then you add the negative after
so it is 10+10+10 because you are multiplying it by 3
you could also add 3 ten times because the communitive property
so 3+3+3+3+3+3+3+3+3+3
you would do the same whether the -3 was in parentheses or not
If the diameter of a circle is 10 inches, what is the area of a circle?
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
because area is pi r^2
Answer:
78.54 or 25π (if in terms of pi)
Step-by-step explanation:
A = πr² = π*5² ≈ 78.53982
Determine the equation of a Linear Function with a negative slope, goes through the point (0,5), and has a hole at x = -1
Answer:
[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]
Step-by-step explanation:
This function has a slope of -1, a hole at x = -1, and a y-intercept of 5
HELP ME OUT PLS!!!!!
Solve for x.
A) -30
B) -6
C) 6
D) 30
Step-by-step explanation:
-3x + 6 = 2x - 24
6 = 5x - 24
30 = 5x
x = 6
College algebra chapter 3
Equation given: [tex]S = 16t^2[/tex]
S: distance fallen --> 1279 ftt: time taken for the distance fallenSolve:
[tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]
Thus it took 8 seconds for the thing to fall from the top
Hope that helps!
help and walk me thru pleasee
Answer:
Your answer is 63
Step-by-step explanation:
First lets find the area of the rectangle:
To find the area of a rectangle your multiply the length by the width. In this case it is 5 and 9 so..
5 x 9 = 45
Now to find the area of the triangle:
Formula for triangle: 1/2(bh)
9 is your height to find the base subtract 5 from 9:
9 - 5 = 4
Now divide that by 2:
4 / 2 = 2
2 is your base
Now we know the base and height solve:
1/2(2 x 9)
1/2(18)
18 / 2 = 9
multiply 9 by 2
9 x 2 = 18
Now add your areas to find the final area:
45 + 18 = 63
Magan has a bag that contains pineapple chews, cherry chews, and lime chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment 68 times. The results are shown below:
A pineapple chew was selected 59 times.
A cherry chew was selected 3 times.
A lime chew was selected 6 times.
Based on these results, express the probability that the next chew Magan removes from the bag will be cherry chew as a decimal to the nearest hundredth.
Answer:
The Answer is 0.04
Step-by-step explanation:
Describe and correct the error in using the percent proportion to answer the question below
“6 is 6.25% of what number”
Using proportions, it is found that the error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that 100% = 1 of the number is w, while 6 is equals to 6.25% = 0.0625. Hence the rule of three is given by:
1 - w
0.0625 - 6
Applying cross multiplication:
0.0625w = 6.
w = 6/0.0625
w = 96.
The error was treating the 100% value as a percent(100) instead of a decimal 1, hence the correct value is of 96.
More can be learned about proportions at https://brainly.com/question/24372153
ik it's a bit Blurry but Can someone help me Please best answer will be brainliest<33
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the refurbished computer?
answer choices:
98 hours
89 hours
111 hours
Total earnimgs per hour=10$
After deduction
Percentage=7.65+8+12=27.65%Total earnings
10-27.65%×1010-0.2765(10)10-2.7657.335$Total hours:-
640/7.33587.25Approximately 89 hours
in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?
Answer:
800ml
Step-by-step explanation:
solution A= 2% alcohol
solution B=7% alcohol
1200ml=1.2L
1200ml=1200cm^3
X= solution B
solution A + solution B=(1200+x)cm^3
% alcohol= amount of alcohol/total solution(AorB)×100
☆in 1200ml of solution A there's
0.02x1200
2x12
=24ml of alcohol (in 1200ml of solution A)
0.07x X
=0.07Xml of alcohol (in some ml of solution B)
(24+0.07X)ml of alcohol in = solution A and solution B
solution A + solution B= 1200+X
0.04 (1200+X)=24+0.07X
48+0.04X=24+0.07X
48-24=0.07X-0.04X
24=0.03X
X=800ml
Adrian is 3 times as old as Anisah now. 4 years ago,Adrian was 28 years older than Anisah . How old will Anisah be in years' time?
Lets have Anisah be x right now.
4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.
Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)
x+24=3x-4
24=2x-4
28=2x
x=14
Right now Anisah is 14, and in 4 years he will be 14+4 = 18.
a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize
Answer:
£120
Step-by-step explanation:
96 divided by 4=£24
1=£24
24+96=120
Write the word sentence as an inequality.
1. A number x divided by 3 is at most 5
An inequality that represents this word sentence is ____ .
[tex]\boxed{ \dfrac{x}{3} \leq 5}[/tex]
Explanation:A number {x} {divided by} {3} is {at most} {5}.
↧ ↧ ↧ ↧ ↧
x ÷ 3 ≤ 5
[tex]\text{Inequality formed} \rightarrow \boxed{ \dfrac{x}{3} \leq 5}[/tex]
Answer:
[tex]\sf \dfrac{x}{3}\leq 5[/tex]
Step-by-step explanation:
x divided by 3 = x/3
at most 5 means "equal or less than 5" = ≤ 5
Final solution
[tex]\sf \dfrac{x}{3}\leq 5[/tex]
------------------------------------------------------------------------------------------------
Extra information
Alternative ways of writing the inequality:
x ÷ 3 ≤ 5
[tex]\sf \dfrac13x\leq 5[/tex]
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x+1/3=1/2x+5
2
3
6
12
Answer:
12 because it is a common factor of the denominators
Answer:
178
Step-by-step explanation:
8. Rita looks at the floor plan of a room that was drawn with scale factor 1 inch equals 4 feet. She multiplied the perimeter of the drawing by four and ordered that many feet of molding. She multiplied the area of the drawing by four and ordered that many square feet of carpeting. When the orders arrived, Rita had enough molding, but the carpet covered only of the room. Explain the error.