65,536 welcome :))))))
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 112 inches and standard deviation σ = 10 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 22nd percentile of the tree heights. (b) Find the 80th percentile of the tree heights. (c) Find the first quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Find the 22nd percentile of the tree heights. The 22nd percentile of tree heights is inches.
Answer:
Explained below.
Step-by-step explanation:
Let X represents the tree heights.
It is provided that X follows a normal distribution with mean μ = 112 inches and standard deviation σ = 10 inches.
(a)
Compute the 22nd percentile of the tree heights as follows:
[tex]P(X<x)=0.22\\\\P(Z<z)=0.22[/tex]
The z-score for the corresponding probability is, z = -0.77.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.77=\frac{x-112}{10}\\\\x=112-(0.77\times 10)\\\\x=104.3[/tex]
Thus, the 22nd percentile of the tree heights is 104.3 inches.
(b)
Compute the 80th percentile of the tree heights as follows:
[tex]P(X<x)=0.80\\\\P(Z<z)=0.80[/tex]
The z-score for the corresponding probability is, z = 0.84.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-112}{10}\\\\x=112+(0.84\times 10)\\\\x=120.4[/tex]
Thus, the 80th percentile of the tree heights is 120.4 inches.
(c)
Compute the first quartile of the tree heights as follows:
[tex]P(X<x)=0.25\\\\P(Z<z)=0.25[/tex]
The z-score for the corresponding probability is, z = -0.67.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.67=\frac{x-112}{10}\\\\x=112-(0.67\times 10)\\\\x=113.3[/tex]
Thus, the first quartile of the tree heights is 113.3 inches.
(d)
The tallest 1% of the trees, i.e. P (X > x) = 0.01.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-value is, z = 2.33.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-112}{10}\\\\x=112+(0.99\times 10)\\\\x=121.9[/tex]
Thus, the tallest 1% of the trees are more than 121.9 inches tall.
7th grade math help me plzzzz
Answer:
a) -16
b)7
c) -4
d) 9
Step-by-step explanation:
by solving
Please help please
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
Simplify (4.5)(5)(−2).
Group of answer choices
45
4.5
−4.5
−45
Answer: -45
Steps: 4.5 × 5 × -2 = -45
Plz mark brainliest:)
Mrs. Olen wants to join a gym. Francis Lewis Gym charges a new member fee of $150 plus $10 each month. Clintonville Gym charges a new member fee of $50 plus $35 each month.
Answer:Step-by-step explanation:
a. Let x = number of months
Amount charged by Francis Lewis Gym = 150 + 10x
Amount charged by Clintonville Gym = 50 + 35x
Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months
150 + 10x = 50 + 35x
Collect like terms
150 - 50 = -10x + 35x
100 = 25x
Divide both sides by 25
100/25 = x
4 = x
Answer: 4 months
b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.
Amount charged by Francis Lewis Gym = 150 + 10x
= 150 + 10(2)
= 150 + 20
= $170
Amount charged by Clintonville Gym = 50 + 35x
= 50 + 35(2)
= 50 + 70
= $120
She should join the Clintonville Gym if she plans to join a gym for 2 months.
Answer: Clintonville Gym
There are four different sets of objects shown in the answer choices. Select all of the sets of objects that could be modeled by perpendicular lines. Two roads that meet at an intersection. The top of a desk and the floor. A tree and its shadow on the ground. Two stars seen in the sky.
Answer:
Step-by-step explanation:
Select all of the object sets that could be modelled by perpendicular lines.
A perpendicular line is one that divides a 180 degrees line (or a straight line) into two; creating 90 degrees on one hand and 90 degrees on the other.
OPTIONS:
(A) APPLICABLE
Two roads that meet at an intersection can be modelled by perpendicular lines. Use the definition above as a yardstick.
(B) APPLICABLE
The top of the desk to the floor will represent the dividing line while the floor itself will be the 180° line.
(C) NOT APPLICABLE
A tree and its shadow on the ground will only form a right-angled triangle
(D) NOT APPLICABLE
Two stars seen in the sky cannot be modelled by perpendicular lines. They can only be modelled by a straight line; a line which extends from the first star to the other.
Choose the true statement.
Answer:
-8 < 8
Step-by-step explanation:
-8 is less than 0 so it is definitely less than 8
Hope this helped :)
Use a number line to show the sum of 6+(-7) ?
Answer:
-1
Step-by-step explanation:
When you make the number line, go to the middle then move left once. Then mark that " -1 " and you put the dot over that.
It's hard to explain how to write number lines.
Anyways, the problem equals -1 because 6-7 is negative 1. The + is there to confuse you.
Mark brainliest if possible please :)
Will give brainliest!
a
(1, 3) and (2, 7)
b
(3, 8) and (5, 12)
c
(1, 3) and (6, 13)
d
(5, 12) and (6, 13)
Answer:
B
Step-by-step explanation:
I think its B because the line would be closest to the rest of the dots in the graph. I hope its right!
PLEASE HELP!?!?!
a. c + 7 less than or equal to 3
b. c – 3 > 1
c. c – 7 < 3
Matching
Match the inequality to the graph of its solution.
What is the distance between the points -30, -10 and -30, 19 in the xy plane?
A: 9 units
B: 20 units
C: 29 units
D: 49 units
Answer:
29 units..
Step-by-step explanation:
well i don't know how to insert an image of the answer...but I did it...its (c): 29 units
Help please zearn is so hardddd
Answer:
1000-20
Step-by-step explanation:
Find the exponential function evaluate of
Y=2.5x
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 2.52.5
y-intercept: (0,0)
x y
0 0
1 2.5
丼
Some one please help it’s subtracting fractions
Convert any mixed numbers to fractions.
Then you get your initial equation
Applying the fractions formula for subtraction
Simplifying 72/16, the answer is
4 1/2
Do you guys know the answer?
The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.
Answer:
the anwer is 5*6
The perimeter of a playing field for a certain sport is 214 ft. The field is a rectangle, and the length is 41 ft longer than the width. Find the dimensions
The width of the playing field is
(Type an integer or a decimal)
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
L is the length of the rectangle:
W is the width of the rectangle.
Given
Perimeter = 214feet
If the length is 41 ft longer than the width, then L = 41+W
Substitute L = 41+W into the formula:
P = 2(L+W)
214 = 2(41+W+W)
214 = 2(41+2W)
214 = 82+4W
4W = 214-82
4W = 132
W = 132/4
W = 33 feet
Since L = 41+W
L = 41+33
L = 74 feet
Hence the dimension of the field is 74ft by 33ft
The width of the playing field is 33feet
The sum of two numbers is 61. The smaller number is 7 less than the larger number. What are the numbers?
Larger number:
Smaller number:
Answer:
divide by 2 equals 30.5 minus 7 equals to 23,5
Step-by-step explanation:
smaller is 23,5
B is 37.5
231km 118m - 485km 829m in the smallest unit
Answer:
Uhhhhhh
Step-by-step explanation:
ABUNDA LA CACA BDHDHENSNGAGVD
Answer:
hard
Step-by-step explanation:
A biker cycles 9 miles in 2/3 of an hour.
The distance here varies directly with time. What is the constant of variation? (It is the hikers’ rate .)
Answer:
this is for you RSM people.
1 hour=13.5
2 hours=27
3 hours=40.5
3.5 hours=47.25
Step-by-step explanation:
The constant variation of the biker is the speed of the biker, Hence, the constant variation is 13.5 mph
Giveb the Parameters :
Distance biked = 9 miles Time taken = 2/3 hoursRecall :
Speed = distance / timeSpeed = 9 ÷ 2/3
Speed = 9 × 3/2
Speed = 27/2 = 13.5 miles per hour.
Therefore, the constant variation is 13.5 mph.
Learn more : https://brainly.com/question/18796573
4.20. According to a report released by the National Center for Health Statistics, 51% of U.S. households has only cell phones (no land line). According to the FCC, nearly 70% of the U.S. households have high-speed Internet. Suppose of the U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected. a. What is the probability that the household has only cell phones and has high-speed Internet
Answer:
The probability that the household has only cell phones and has high-speed Internet is 0.408
Step-by-step explanation:
Let A be the event that represents U.S. households has only cell phones
Let B be the event that represents U.S. households have high-speed Internet.
We are given that 51% of U.S. households has only cell phones
P(A)=0.51
We are given that 70% of the U.S. households have high-speed Internet.
P(B)=0.7
We are given that U.S. households having only cell phones, 80% have high-speed Internet. A U.S household is randomly selected.
P(B|A)=0.8
[tex]\frac{P(A\capB)}{P(A)}=0.8\\P(A\capB)=0.8 \times P(A)\\P(A\capB)=0.8 \times 0.51\\P(A\capB)=0.408[/tex]
Hence the probability that the household has only cell phones and has high-speed Internet is 0.408
78 feet wide and 27 feet long what is the perimeter?
Answer:
105
Step-by-step explanation:
When finding the perimeter add them together
a rising unemployment rate affect a society by:
A. discouraging busissnesses from investing
B.making it harder for citizens to find jobs
C. causing inflation rates to rise rapidly.
D.reducing the value of a country's currency
Answer: B
Step-by-step explanation:
just took the quiz
A rising unemployment rate affect a society by making it harder for citizens to find jobs.
What is Unemployment?The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.
As, we know that unemployment means the shortage of jobs for the citizens.
So, rising unemployment rate in society creating trouble for the citizens to find jobs.
Learn more about unemployment here:
https://brainly.com/question/14227610
#SPJ2
The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries. 1. 2. 3. Choose correct answer from above choice 1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. Round your answer to four decimal places. .9588 c. With
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Population Mean wage (m) = $24.57
a. State the null hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
The Null hypothesis : μ = 24.57
1 State the alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
Alternative hypothesis : μ ≠ 24.57
1 b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
Sample size (n) = 30
Sample mean (Sm) = 23.89
Population standard deviation (σ) = 2.40
Obtaining Z:
Z = (Sm - m) / σ/√n
Z = (23.89 - 24.57) / 2.40/√30
Z = - 0.68 / 0.4381780
Z = - 1.5518805
Using the online p value calculator from Zscore
P value = 0.121142
= 0.1211
help and ill give u brainly And points ASAp
I need help asap with my math
Answer:
The first and the third one are correct.
Step-by-step explanation:
Answer: 1 & 3 are proportional relationships
What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
Find the slope of the line through the points (3,2) and (4,5).
Answer:
[tex]m=3[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{5-2}{4-3}[/tex]
[tex]m=\frac{3}{1}[/tex]
[tex]m=3[/tex]
what is the largest six digit number you can make that ends in an even number using 134569.
Answer:
965314
Step-by-step explanation:
Please mark me brainlest and hope that help (=
9.831 rounded to the nearest tenth
Answer:
9.8
Can i get brainliest please?
Answer:
9.8
Step-by-step explanation:
Hoped that helped :)