Answer:
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
Step-by-step explanation:
To solve this question, we use the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 109.0 inches, and a standard deviation of 12 inches.
This means that [tex]\mu = 109, \sigma = 12[/tex]
Sample of 25.
This means that [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex]
What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches?
This is the p-value of Z when X = 112. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{112 - 109}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.
The circle below has a radius of 10 centimeters. What is the area of the shaded
region?
10 cm
120
A. 10 square centimeters
B. 50 square centimeters
C. 3 square centimeters
D. 100 3 square centimeters
The area of the shaded segment is 100/3π square centimeter
What is a area?
Area is nothing but the surface bounded by the object in 2D.
What is a segment?
A part of a line or curve between two points In circle we can say segment is nothing but a region or area cutoff from the circle by chord.
What is a segment area?
Area bounded by a segment. Area of segment has a formula (θ/360°)πr²
According to the question
θ=120°
radius =10cm
area of segment = (120°/360°)π(10²)
120°/360° =0.333
10²=100
0.333×π×100
33.3π or (100/3)π
Thus area of the shaded segment is 33.3π or (100/3)π square centimeters
To know more about area here
https://brainly.com/question/20898622
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I don’t get this one but the question was something about finding the equation.
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Answer:
y = -(x -3)^2 +2
Step-by-step explanation:
The vertex form of the equation for a parabola is ...
y = a(x -h)^2 +k
where the vertex is (h, k) and the value 'a' is a vertical scale factor.
The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.
Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...
y = -(x -3)^2 +2
A project to build a new bridge seems to be going very well since the project is well ahead of schedule and costs seem to be running very low. A major milestone has been reached where the first two activities have been totally completed and the third activity is 60 percent complete. The planners were expecting to be only 50 percent through the third activity at this time. The first activity involves prepping the site for the bridge. It was expected that this would cost $1,420,000 and it was done for only $1,300,000. The second activity was the pouring of concrete for the bridge. This was expected to cost $10,500,000 but was actually done for $9,000,000. The third and final activity is the actual construction of the bridge superstructure. This was expected to cost a total of $8,500,000. To date they have spent $5,000,000 on the superstructure. Calculate the schedule variance, schedule performance index, and cost performance index for the project to date.
Answer:
Scheduled Variance = $850,000.00
Schedule Performance Index = 1.05
Cost Performance Index = 1.11
Step-by-step explanation:
Note: See the attached excel file for the calculations of Total Actual Cost to Date, Budgeted Cost of Work Scheduled (BCWS), and Budgeted Cost of Work Performed (BCWP).
From the attached excel file, we have:
Total Actual Cost to Date = $15,300,000
Total BCWS = $16,170,000
Total BCWP = $17,020,000
Therefore, we have:
Scheduled Variance = Total BCWP - Total BCWS = $17,020,000 - $16,170,000 = $850,000.00
Schedule Performance Index = Total BCWP / Total BCWS = $17,020,000 / $16,170,000 = 1.05
Cost Variance = Total BCWP - Total actual cost to date = $17,020,000 - $15,300,000 = $1,720,000
Cost Performance Index = Total BCWP / Total actual cost to date = $17,020,000 / $15,300,000 = 1.11
f(x)=5^x+1 what’s the rate of change between x=0 and x=4
Answer:
156
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1; Define
Identify
f(x) = 5ˣ + 1
Interval x [0, 4] →b = 4, a = 0
Step 2: Find Rate of Change
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}[/tex][Average Rate of Change] Substitute in x [Function f(x)]: [tex]\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}[/tex](Parenthesis) Evaluate exponents: [tex]\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}[/tex](Parenthesis) Add: [tex]\displaystyle \displaystyle \frac{626 - 2}{4 - 0}[/tex][Fraction] Subtract: [tex]\displaystyle \displaystyle \frac{624}{4}[/tex]Divide: [tex]\displaystyle \displaystyle 156[/tex]NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
The fence around a circular garden is 18 feet long.What is the area of the garden to the nearest square foot?Use 3.14 for pi.
Type the answer in the box
________ square feet
Joe has 23 carnival ride tickets and it takes 3 tickets to ride the roller coaster how many times can he ride the coaster how many tickets will he have left over
Answer:
JIKA ANDA YANG
Step-by-step explanation:
yang bales anak yang
[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]
Answer:
20
Step-by-step explanation:
He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster
so 23 - 3 = 20
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer:
216
Step-by-step explanation:
outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216
Solve for y.
O 10
O 12
O 15
O 18
Answer:
first option
Step-by-step explanation:
3x = 90 degree (being perpendicular)
x = 90/3
x = 30 degree
substitute the value of x
2x + 3y = 90 degree (being perpendicualr)
2*30 + 3y = 90
60 + 3y = 90
3y = 90 - 60
y = 30/3
y = 10 degree
Answer:
that's easy its letter a number 10
Can someone please answer this question for me with explanation bc im kinda having a hard time
Answer:
Step-by-step explanation:
First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region
Area of Circle
Here, r=radius
area of circle= π×r²
= π × 5² (radius=half of diameter)
= 25π
= 78.54cm²
Area of Triangle
Here, b=base, h=height
area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h
= [tex]\frac{1}{2}[/tex]×8×6
= 24cm²
Area of shaded region= area of circle - area of triangle
= 78.54 - 24
= 54.54
≈ 54.5cm² [Ans]
having troubles solving this question
Answer:
option c is the correct answer
Answer:
c. 1/3
Step-by-step explanation: Substitute the corresponding x and y values into the slope formula, m = y2-y1/x2-x1. Then simplify the equation and you will get 1/3.
Can someone answer this I’ll give brainliest
Answer:
7/13
Step-by-step explanation:
Arrange the numbers so that the number of girls in year 10 is the numerator, and the total number of girls is the denominator. (140/260) Simplify this by dividing both numbers by 20.
what is equivalent to 4 to the power of 3
Answer:
64
Step-by-step explanation:
because you multiply 4 by it self
HELP ASAP 35 POINTS
Answer:
Given function:
y = -x² + 6Fill in the table by substituting the value of x:
x = 0 ⇒ y = - 0² + 6 = 6x = 1 ⇒ y = - 1² + 6 = 5x = -1 ⇒ y = -(-1)² + 6 = 5x = 2 ⇒ y = -2² + 6 = 2x = -2 ⇒ y = -(-2)² + 6 = 2The graph is attached
The atmosphere of a certain planet is made up of many
elements. What part of the atmosphere is made up of Element
2?
I’ll make you a brilliant answer plsss help
From her eye, which stands 1,61 meters above the ground, Savannah measures the
angle of elevation to the top of a prominent skyscraper to be 24°. If she is standing at
a horizontal distance of 340 meters from the base of the skyscraper, what is the
height of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary
Answer:
152.99 m
Step-by-step explanation:
Using the solution diagram attached below :
We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;
Tan θ = opposite / Adjacent
Tan 24 = h / 340
h = tan 24 * 340
h = 151.37775
Hence, the height will be (h + distance from eyelevel to ground)
151.37775 + 1.61
= 152.98775
= 152.99 m
Answer:
132.6 meters tall
Step-by-step explanation:
it gave me the answer
In the figure below, YZA and YZX are right angles, XYZ and AYZ are
congruent, and XZ = 10. What is the length of ZA ?
Answer:
10
Step-by-step explanation:
Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10
Alexandra plays poker with seven friends. Each of the eight players starts with 60 chips, but players take chips from one another as play progresses. The goal of the game is to win all of the chips. A player drops out of the game if she loses all her chips to other players in the game. After five players have dropped out of the game, what is the average number of chips each of the remaining players has
Answer:
160 chips
Step-by-step explanation:
Given
[tex]n = 8[/tex] --- players
[tex]c = 60[/tex] --- chips per player
First, calculate the total chips
[tex]Total = n * c[/tex]
[tex]Total = 8 * 60[/tex]
[tex]Total = 480[/tex]
After 5 players are out; there are 3 players remaining in the game
So, the average number of chip with each of the remaining player is:
[tex]Average = \frac{Total}{n-5}[/tex]
[tex]Average = \frac{480}{8-5}[/tex]
[tex]Average = \frac{480}{3}[/tex]
[tex]Average = 160[/tex]
Solve rational equations 5/6+3/b=1/3
Please check my function,
Tell my function right or not, And if not please tell me how to correct
Answer:
yes, i think it is correct :)
Step-by-step explanation:
Help me solve this please !
Answer:
The answer is D, 14. This is because those bars are asking for absolute value, meaning you simply change any negative to a positive and give its value in general instead of as a negative or positive
Julio wants to purchase a truck. The purchase price of the truck is $ 38 , 000.00 The dealership will allow him to pay cash or finance the truck for a down payment of $ 5 , 000.00 and 60 monthly payments of $ 750.00. Julio chooses to finance the truck. Answer the following questions. a) What is the amount financed? b) What is the total amount of monthly payments? c} What is the amount of the finance charge?
Answer:
1000000 kexvixevixev84fvi4fddeyhxe
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds. A sample of 15 babies is studied. Round the answers to three decimal places. Part 1 of 4 (a) What is the probability that exactly 5 of them weigh more than 20 pounds
Answer:
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Step-by-step explanation:
For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.
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.
A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.
This means that [tex]p = 0.3[/tex]
A sample of 15 babies is studied.
This means that [tex]n = 15[/tex]
What is the probability that exactly 5 of them weigh more than 20 pounds
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]
0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.
Explain why the sum of the interior angles in a regular pentagon is 540?
Answer:
Step-by-step explanation:
formula to find the sum of interior angle of a regular pentagon is
(n-2)*180 degree
here n means no of sides .since pentagon has 5 sides replace it by 5
=(5-2)*180
=3*180
=540 degree
In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa Macdonald–Cartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land?
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Answer:
9.5°, yes
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...
tan(α) = 500/3000 = 1/6
α = arctan(1/6) ≈ 9.46°
The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.
_____
Additional comment
The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.
10. Fill in the blank to make an equal problem 2,165 + ______ + 1,678 = 6,414
Answer:
2,165 + 2571 + 1,678 = 6,414
Step-by-step explanation:
We can say;
=> 2,165 + unknown number + 1,678 = 6,414
So let's add like terms first;
=> 3,843 + unknown number = 6,414
=> unknown number = 6,414 - 3,843
=> unknown number = 2571
Hope this helps!
Answer:
2571
Step-by-step explanation:
Let x be the blank.
2165 + x + 1678 = 6414
3843 + x = 6414 (combine like terms)
x = 2571
Which figure can be formed from the net?
6 cm
4 cm
4 cm
6 cm
4 cm
4 cm
6 cm
6 cm
Answer:
It's the fourth option, the bottom right one
The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
[tex]\triangle FED\sim \triangle JEH[/tex]
Step-by-step explanation:
Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]
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Answer:
ΔDEF ~ ΔHEJ
Step-by-step explanation:
The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.
The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...
ΔDEF ~ ΔHEJ
ASAP PlS First answer mark as Brainlist.
Answer:
9 servings
Step-by-step explanation:
What is the probability of the spinner landing on 1 or 3
Answer:
Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Indicate by choosing the correct option
whether the following statement is true or
false:
An electronic funds transfer made by a
debtor of HS Stores on 12 June 20.1, is
an example of an item that will appear
on the bank statement of HS Stores but
not in the cash receipts journal of HS
Stores for June 20.1.
True
False
