Answer:
0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft.
This means that [tex]\mu = 191.8, \sigma = 4[/tex]
A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.
This is the pvalue of Z when X = 182.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{182.2 - 191.8}{4}[/tex]
[tex]Z = -2.4[/tex]
[tex]Z = -2.4[/tex] has a pvalue of 0.0082
0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.
What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.
Answer:
15m/s
Step-by-step explanation:
Given data
DIstance= 55.5 miles
time= 3.7 hours
Required
the speed
We know that
Speed= distance/time
Substitute
Speed= 55.5/3.7
Speed= 15 m/s
Hence the speed is 15m/s
How much more money does it cost to burn trash than to send it to a landfill? Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound
Answer:
Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound
Step-by-step explanation:
What is 6 to 8 and 18 to X
Answer:
The answer is 24
Step-by-step explanation:
STEP 1:
[tex]6x = 18 \times 8[/tex]
18 * 8 = 144
So, 6x=144
STEP 2:
Divide both sides by 6:
[tex] \frac{6x}{6} = \frac{144}{6} [/tex]
Then, you get 24
So, your answer is 24.
Find the value of 2425÷45. Show your reasoning. fractions
Answer:
Step-by-step explanation:
53.8
Determine which of the given procedures describe a binomial distribution. Select one: A. Record the number of ear piercings in a group of 30 randomly selected college students. B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18. C. Surveying customers leaving a hardware store until a customer responds that he or she spent more than fifty dollars.
Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
An equation is shown below:
8(2x − 14) + 13 = 4x − 27
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Explain the parts please and i will give brainliest the best best explained one.
Answer:
x = 6
Step-by-step explanation:
8(2x − 14) + 13 = 4x − 27
solve everything in parentheses
16x - 112 + 13 = 4x - 27
subtract 4x from each side of the equation
16x - 4x - 112 + 13 = 4x - 27 - 4x
reduce
12x - 112 + 13 = -27
combine those known numbers
12x - 99 = -27
add 99 tooth sides of the equation
12x - 99 + 99 = -27 + 99
reduce
12x = 72
divide both sides by 12
12x / 12 = 72 / 12
reduce
x = 6
HELPP MEE
Write an equation to express y in terms of x.
Answer:
y = -¼x
Step-by-step explanation:
If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.
A blogger has 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
Since a blogger has 400 subscribers to her blog in January, and the number of subscribers has grown by a factor of 1.5 every month since the, to write a sequence to represent the number of subscribers in the 3 months that followed, the following reasoning has to be made:
January: 400 subscribers
February: 400 x 1.5 = 600 subscribers
March: 600 x 1.5 = 900 subscribers
April: 900 x 1.5 = 1,350 subscribers
The sequence to represent the number of subscribers in the 3 months that followed are :
First month = 600 subscribers
Second month = 900 subscribers
Third month = 1350 subscribers
The blogger has 400 subscriber to her blog in January.
The number of subscriber has grown by a factor of 1.5 every month since then.
Therefore, the sequence to represent the number of subscribers in the 3 months that followed can be calculated below
January Subscribers = 400
February Subscribers = 1.5 × 400 = 600
March Subscribers = 1.5 × 600 = 900
April subscribers = 1.5 × 900 = 1350
learn more on sequence here:https://brainly.com/question/21324508?referrer=searchResults
10 points eBookReferencesCheck my workCheck My Work button is now enabled1Item 9 Consider the following observations of a series: Year 1 Year 2 Year 3 Year 4 100 120 160 170 a. Calculate the growth rates for Year 1–Year 2, Year 2–Year 3, and Year 3–Year 4. (Round your answers to 4 decimal places.) b. Calculate the average growth rate. (Enter your answer as a percentage, rounded to 2 decimal places, using intermediate calculations rounded to at least 4 decimal places.)
Answer:
[tex]Growth\ Rate = 0.2000[/tex] --- Year 1 to 2
[tex]Growth\ Rate = 0.3333[/tex] --- Year 2 to 3
[tex]Growth\ Rate = 0.0625[/tex] --- Year 3 to 4
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Year\ 1} & {100} & {Year\ 2} & {120} & {Year\ 3} & {160} & {Year\ 4} & {170} \ \end{array}[/tex]
Solving (a): Growth Rates between each year
For Year 1 to 2.
[tex]Growth\ Rate = \frac{Year\ 2 - Year\ 1}{Year\ 1}[/tex]
[tex]Growth\ Rate = \frac{120-100}{100}[/tex]
[tex]Growth\ Rate = \frac{20}{100}[/tex]
[tex]Growth\ Rate = 0.2000[/tex]
For Year 2 to 3.
[tex]Growth\ Rate = \frac{Year\ 3 - Year\ 2}{Year\ 2}[/tex]
[tex]Growth\ Rate = \frac{160-120}{120}[/tex]
[tex]Growth\ Rate = \frac{40}{120}[/tex]
[tex]Growth\ Rate = 0.3333[/tex]
For Year 3 to 4.
[tex]Growth\ Rate = \frac{Year\ 4 - Year\ 3}{Year\ 3}[/tex]
[tex]Growth\ Rate = \frac{170-160}{160}[/tex]
[tex]Growth\ Rate = \frac{10}{160}[/tex]
[tex]Growth\ Rate = 0.0625[/tex]
Solving (b): The average growth rate
This is calculated as by calculating the mean value of the growth rates in (a)
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.2000 + 0.3333 + 0.0625)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}(0.5958)[/tex]
[tex]Average\ Growth\ Rate = \frac{1}{3}*0.5958[/tex]
[tex]Average\ Growth\ Rate = 0.1986[/tex]
Convert to percentage
[tex]Average\ Growth\ Rate = 0.1986 * 100\%[/tex]
[tex]Average\ Growth\ Rate = 19.86\%[/tex]
Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6
Answer:
No is not the solution to that system
Step-by-step explanation:
Okay can you do this for a test you can be brainleist
hope it's helpful ❤❤❤
THANK YOU
❤
Write the following ratio using two other notations. to Use only the numbers above (not any others). Notation one: Notation two: 9 fration 8
Answer:
9:8 and 9 to 8
Step-by-step explanation:
i literally have no clue how to do this can someone help
Peace and love
Peace
Alana has 1/4 pound of shredded cheese. She uses an equal amount of cheese in each of 4 pizzas. What fraction of a pound of cheese did Alana use on each pizza?
Answer:
1/16
Step-by-step explanation:
To find the answer, you would have to divided 1/4 by 4, which is 1/16.
Hope this helps! :)
Lily needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 4.5 hours and charged her $193 for parts.
The total was $530.50. What was the cost of labor, per hour?
The cost per hour for the labor will be $75
Total amount charged = $530.50
Amount charged for parts = $193
Number of hours used = 4.5 hours
Let the amount charged per hour = x
Therefore, the equation to solve the question will be:
193 + 4.5(x) = 530.50
193 + 4.5x = 530.30
Collect like terms
4.5x = 530.50 - 193
4.5x = 337.50
Divide both side by 4.5
4.5x/4.5 = 337.50/4.5
x = 75.
The cost of labor per hour is $75
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Estimate the unit rate to the nearest whole number.
74.75
Answer:
umm.... 75? id say that sooo yea
Answer:
The answer is $75.00
Step-by-step explanation:
0.75 is above fifty, so you round up. Which gets you to 75
(1+2) +3 = 1 + (2 + 3)
What property is that equation
Answer:
associative property, which is the mathematical property that states that you can change the grouping in an addition or multiplication equation and the answer will not be affected.
A triangle can be formed with the lengths 10 cm, 5 cm and 14 cm.
Answer: yes.
Step-by-step explanation: i dont really get this one so i just said yes
guys I really need help plsss
Answer:
x = 3
Step-by-step explanation:
Multiply the first equation by -1, then add it to second equation.
2x+9y = -12
-2x-7y = 8
-------------------
2y = -4
Solve for y
2y = -4
y = -2
Plug value of y into one of the equations and solve for x
2x + 9(-2) = -12
2x = 6
x = 3
can somebody help me, major grade and is timed, pre ap geometry
Step-by-step explanation:
First find the value of Y=> 5y-8=3y+1
=> 5y-3y=1+8
=> 2y=9
=> y=4.5
Second find the value of X=> x+6=4x
=> 6=4x-x
=> 6=3x
=> x=(6/3)
=> x=2
Thus, x=2 and y=4.5 [Option C]
Hope this helps you.
anyone watch anime... im trying to give out some points :)
Answer:
I do not...
Step-by-step explanation:
but I want to...
Answer:
I have never watched anime like whats it for lol
The graphs show the amounts in two different bank accounts over several months.
Explain whether Account A shows a proportional relationship between months and the amount in the account.
Explain whether Account B shows a proportional relationship between months and the amount in the account.
Analyze the graph that shows a proportional relationship. Explain the meaning of the points (x,y) and (1,r) where r is the unit rate.
Answer:
where are the graphs?
Step-by-step explanation:
What is 9 divided by 5x8?
Answer:
The answer is [tex]\frac{9}{40}[/tex] or 0.225
Answer:
well 5X8= 40 and 9 divided by 40= 4.4444444444444444444444444444444
Step-by-step explanation:
Hope that this has helped you out! :)
answer each question with work and reasoning
Answer:
30
Step-by-step explanation:
2 + 3 = 6
6 x 10 = 30
30 snowmen
Proportions in Similar Triangles find the value of x
Answer:
x=6
Step-by-step explanation:
Need help with this question!
(25 points)
SOMEONE PLSS HELP ASAP
which bicondtonal is not a good definition
Answer:
............... .......
Help plz:)))I’ll mark u Brainliest
9514 1404 393
Answer:
x = 18
Step-by-step explanation:
The parallel lines cut the transversals proportionally.
(2x -1)/40 = 21/24
2x -1 = 35 . . . . . . . multiply by 40
2x = 36 . . . . . . . . add 1
x = 18 . . . . . . . . . divide by 2
1. Write an equation of a function with each domain:
a. [2,)
b. (-0, 0)
C. (2, 0 )