Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that [tex]\mu = 5.11, \sigma = 0.07[/tex]
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = -1.34*0.07[/tex]
[tex]X = 5.02[/tex]
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 5.11}{0.07}[/tex]
[tex]X - 5.11 = 1.34*0.07[/tex]
[tex]X = 5.2[/tex]
The diameter that separates the top 9% is 5.2 millimeters.
what is the distance between ( -5, 3 ) and ( 3, 3 ) ?
Answer:
distance between these point is 8
Step-by-step explanation:
d=
[tex] \sqrt{( 3- - 5) ^{2} + (3 - 3)^{2}} [/tex]
Answer:
8 is the distance between them
FYI distance formula is the square root of (x2 -x1)^2 = (y2- y1)^2
Step-by-step explanation:
A man who is 2m tall stands on horizontal ground 30m from a tree . The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the man eyes to the top of the tree
Answer:
33.97 m
Step-by-step explanation:
Given that,
The height of a man = 2 m
He stands on a horizontal ground 30m from a tree.
The angle of elevation of the top of the tree from his eyes is 28°.
We need to find the distance between the man eyes to the top of the tree. Let the height of the tree be h
Using trigonometry to find such that,
[tex]\tan28=\dfrac{h}{30}\\\\h=\tan28\times 30\\\\h=15.95[/tex]
Now let us consider that the distance between the man eyes to the top of the tree is x. Using Pythagoras theorem,
[tex]x^2=30^2+15.95^2\\\\x=33.97\ m[/tex]
So, the distance between the man eyes to the top of the tree is 33.97 m.
Rehana has some money. After she spends Rs 15, she has three-quarters of the initial amount left. The amount left is
A:60
B:40
C:45
John bought a car for $65.000. If the value depreciates by 8% each year,how much will the car be worth at the end of two years?
Answer:
$546000
Step-by-step explanation:
($65000×8%)(2)
can u guys help i need to make this longer lol
Dan is randomly selecting an outfit to wear to school. He can choose from 3 shirts: blue striped, red striped, or white. He
can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is true or false.
Select True or False for each statement.
The probability that Dan chooses a striped shirt and a pair of tan shorts is
O True
o
False
There are 6 possible outcomes in the sample space.
O
True
O
False
The probability that Dan chooses a striped shirt and a pair of blue shorts is
o
True
O False
There are 2 ways to choose a red striped shirt and a pair of tan shorts.
O True
O False
Answer:i dont know :(
Step-by-step explanation:
im sorry :(
Answer:
1. true
2. false
3. false
4. false
Step-by-step explanation:
hope this helps
please mark brainiest
please give 5 stars
thank you
If 1/3 gallon of paint will cover 1/9 of a wall, how much paint will be needed for the entire wall?
Answer:
3 gallons
Step-by-step explanation:
:}
PLEASE HELP!
Find the area of each figure.
18 square units
9 square units
12 square units
24 square units
MATCH THE NUMBERS TO THE GRAPHS!!!!!
I do know the first figure is 24 square feet.
To get your answer,
Count the amount of the blocks stacked on top each other to make the length, in this case the first photo would be 3, and the width of the block, which is 8. To get the area, you would multiply the length and width together.
Image Form:
l x w = a
(length x width = area)
I hope this is a clear explanation!
Answer:
first one is 24
second one is 12
third one is 9
fourth one is 18
Step-by-step explanation:
Select the correct answer. Find the solution(s) for x in the equation below.
x2-9x+20=0
Step-by-step explanation:
Given
x² - 9x + 20 = 0
x² - ( 4 + 5) x + 20 = 0
x² - 4x - 5x + 20 = 0
x ( x - 4 ) - 5 (x - 4 ) = 0
(x - 4 ) ( x - 5 ) = 0
Either
x - 4 =0
x = 4
or
x - 5 =0
x = 5
x = 4 and 5
Hope it will help :)
[tex].)[/tex]
Answer: hope this helps. Check out the image.. and can u give me brainliest pls and I also have explanation
Step-by-step explanation:
(02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'?
A-75 degrees
B-100 degrees
C-105 degrees
D-180 degrees
The sum of three consecutive odd integers is -39. What is the largest integer?
Answer:
the sum of three consecutive odd number is less than 54.
A rectangle is 5 times as long as it is wide. The perimeter is 50 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
Use the falling object model, h = -16t2 + s.
if h is ground level and S is the initial height of 140 feet above the ground, determine the time (t) in seconds it will take an object to fall to the ground.
1.71 seconds
A
B
2.96 seconds
С
3.06 seconds
D
8.75 seconds
Tell whether −5 is a solution of y+8>3
Step-by-step explanation:
y>3-8
y>-5
The solutions are in the interval ]-5,○○[
Pls help me with this one!! :>
Answer:
i dont see a picture?
Step-by-step explanation:
Step-by-step explanation:
the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.
PLEASE HELP ME 30 points!!!
Multiple Choice
Eighteen students in a class play baseball.
Seventeen students in the class play basketball.
Thirty students in the class play either or both sports
Select the Venn diagram that shows the number of students who play basketball and baseball.
Answer:
A
Step-by-step explanation:
its a bec count how many student are their an see if they add IP to 30
The Venn diagram which shows the number of students who play basketball and baseball is option A.
What is Venn Diagram?Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.
Let A denotes the students playing baseball and B denotes the student playing basketball.
N(A) = 18
N(B) = 17
N(A ∪ B) = 30
We know,
N(A ∩ B) = N(A) + N(B) - N(A ∪ B)
= 18 + 17 - 30
= 35 - 30
= 5
Number of students who play both baseball and basketball = 5
Number of students who plays only baseball = 18 - 5 = 13
Number of students who plays only basketball = 17 - 5 = 12
This is shown in A.
Hence the correct option is A.
Learn more about Venn Diagrams here :
https://brainly.com/question/1605100
#SPJ2
The manager of a fast-food restaurant wants to be sure that, on average, customers are served within 4 minutes from the time the order is placed. He is particularly concerned about the staff working during the early morning shift. From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
(a) Is there convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes?
Answer:
There is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 4[/tex]
The alternate hypothesis is:
[tex]H_{1} < 4[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
From a random sample of 41 orders, the mean time was 3.75 minutes with a standard deviation of 1.2 minutes.
This means that [tex]n = 41, \mu = 3.75, \sigma = 1.2[/tex]
The test-statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{3.75 - 4}{\frac{1.2}{\sqrt{41}}}[/tex]
[tex]z = -1.33[/tex]
[tex]z = -1.33[/tex] has a pvalue of 0.0918, looking at the z-table.
0.0918 > 0.05, which means that the null hypothesis is accepted, and that there is not convincing evidence at the a = 0.05 significance level that the true mean service time during the early morning shift is less than 4 minutes
Please help I will give brainliest
Mateo is training for a race. On Monday Mateo ran 7/10 mile. On Tuesday Mateo ran 9/10 mile. how much farther did Mateon run on Tuesday than on Monday
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10} -\frac{7}{10} =\frac{2}{10} =\frac{1}{5}[/tex]
what is the volume of the cylinder?
A:703.2ft3
B:50.2ft3
C:602.9ft3
D: 653.1ft3
A single die is rolled. Find the odds in favor of rolling a number greater than 1.
Answer:
5/6
Step-by-step explanation:
x > 1
x = 2,3,4,5,6
( quantity of 2,3,4,5,6)/(total)
5/6
Find the volume of cylinder with height 9 cm and radius 4 cm
Answer: 144π
Step-by-step explanation: First. find the area of the bases. To do this, you must solve for the area of a circle with a radius of 4. Since the formula for finding the area of a circle is area=πr² squared, the area of the circles are 16π. Next, you must multiply the area of the base, 16π, by the height of the cylinder, 9. 16π times 9 is 144π, or about 452.4, if rounded to the nearest tenth, or 452.39, if rounded to the nearest hundredth.
A piece of ribbon is cut into three pieces that have length in the extended ratio of 7:8:9. The length of the ribbon is 96 centimeters. What is the length of each piece of ribbon?
Answer:
28:32:36
Step-by-step explanation:
you add the ratios up all together and divide your answer by 96 the answer you get there you multiply it with the ratios
Help meh with an explication
Answer:
[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]\frac{6}{\sqrt 2}[/tex]
Required
Rationalize
[tex]\frac{6}{\sqrt 2}[/tex]
To do this, we simply multiply by [tex]\frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\frac{6}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
This gives:
[tex]\frac{6 * \sqrt 2}{\sqrt 2 * \sqrt 2}[/tex]
[tex]\frac{6 \sqrt 2}{2 }[/tex]
[tex]3\sqrt 2[/tex]
Hence:
[tex]\frac{6}{\sqrt 2}= 3\sqrt 2[/tex]
Select all the correct answers. Which expressions represent a difference of squares?
Answer:
25x2-36
1-16x2
Step-by-step explanation:
HELP I NEED HELP PLEASE HELP ME!
Answer:
On the y cordnate go up 14.5
Step-by-step explanation:
your are planning a birthday Party at Chuck E Cheese for your little brother? your total budget for the party is $500
There is a fee of $302 to hold your party there and a $15 fee for each guest
How many guests,g ,can you invite to your little brother birthday party?
(The answer come greater than or equal to)
Answer:
13
Step-by-step explanation:
500 - 302=198
198 divided by 15 = 13. 2 round down to 13. 13 guests.
3x + 2 when x = 5
Pls
Answer:
15 + 2 = 17
Step-by-step explanation:
Expand the polynomial using the FOIL method.
3 x 2 + 17 x + 10
Coastal Insurance Company underwrites insurance for beachfront properties along the Virginia, North and South Carolina and Georgia coasts. It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05. If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period
Answer:
0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period
Step-by-step explanation:
We have only the mean, so we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.
This means that [tex]\mu = 0.05n[/tex], in which n is the number of yeas.
If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period
30 years means that [tex]\mu = 0.05*30 = 1.5[/tex].
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769[/tex]
0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period
Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.
The mortgage duration is specified as n = 30, and the likelihood of a category ll hurricane in either given year is given as p=0.05.For point a:
The chances of seeing as least one Category lll hurricane are as follows:[tex]\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854[/tex]
For point b:
The chances to see at least two category III hurricanes are as follows:[tex]\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465[/tex]
Learn more:
brainly.com/question/11667993
Susie can run 4 2/3 miles per hour. If she runs for 3/4 hours how far will she have run?