The probability that the mean clock life would differ from the population mean by greater than 12.5 years is 98.30%.
Given mean of 14 years, variance of 25 and sample size is 50.
We have to calculate the probability that the mean clock life would differ from the population mean by greater than 1.5 years.
μ=14,
σ=[tex]\sqrt{25}[/tex]=5
n=50
s orσ =5/[tex]\sqrt{50}[/tex]=0.7071.
This is 1 subtracted by the p value of z when X=12.5.
So,
z=X-μ/σ
=12.5-14/0.7071
=-2.12
P value=0.0170
1-0.0170=0.9830
=98.30%
Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.
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There is a mistake in question and correct question is as under:
What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?
Identify the postulate if possible
Answer:
Below.
Step-by-step explanation:
It's the Alternate Angle Theorem.
The opposite sides of the quadrilateral are parallel.
Each of 15 learners will give a one and a half minute speech in their mother tongue. how long will it take to give the speeches?
It will take approx. 22 minutes and 30 seconds for the speeches.
What is Division?It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Here, Time duration of each learner = 1 minutes 30 seconds
= 3/2 minutes.
Total number of learners = 15
Time taken by all the speech category = 15 X 3/2
= 45/2
= 22 minutes 30 seconds
Thus, It will take approx. 22 minutes and 30 seconds for the speeches.
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SOMEONE PLS HELP MEEEE
The solutions to the quadratic equations are:
a) [tex]x = \frac{3 \pm \sqrt{19}}{5}[/tex]
b) x = -8, x = 5.
A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]
In which:
[tex]\Delta = b^2 - 4ac[/tex]
Item a:
The coefficients are a = 5, b = -6, c = -2, hence:
[tex]\Delta = (-6)^2 - 4(5)(-2) = 76[/tex][tex]x_1 = \frac{6 + \sqrt{76}}{10} = \frac{6 + 2\sqrt{19}}{10} = \frac{3 + \sqrt{19}}{5}[/tex][tex]x_2 = \frac{6 - \sqrt{76}}{10} = \frac{6 - 2\sqrt{19}}{10} = \frac{3 - \sqrt{19}}{5}[/tex]Item b:
The equation is:
x² + 3x = 40
x² + 3x - 40 = 0.
It can be simplified as follows:
(x - 5)(x + 8) = 0.
Hence the solutions are:
x - 5 = 0 -> x = 5.x + 8 = 0 -> x = -8.More can be learned about quadratic equations at https://brainly.com/question/24737967
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Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 3 ≤ x ≤ 6.
Answer:
OC
1
2
ين
3
4
5
6
f(x)
69
64
59
54
49
44
Need Help
Answer:
this question is not clear i have read it twice an still dont understand it. Sorry
i need help asap
1: Write a function that represents this process:
Take a number, x.
Multiply it by 4.
Subtract 2 from the result.
Then find the inverse of this function. Does the inverse represent the reverse of the process above? Explain why or why not.
2:Show why, for linear functions, a vertical translation is equivalent to a horizontal translation. For a linear function, what horizontal translation is equivalent to a vertical translation of 3 units up?
3:Alex says that the function f(x) = (3x)2 represents a vertical stretch of the quadratic parent function by a factor of 3. Marta says that it represents a horizontal compression by a factor of . Decide whether one student is correct, both are correct, or neither is correct.
4:For an unknown parent function f(x), write a function g(x) that is:
vertically stretched by a factor of 2,
shifted up 5 units, and
shifted right 4 units.
Explain how your function accomplishes these transformations.
Original function involved multiplication by 4 and then subtraction of 2.
Inverse function involves addition of 2 and then division by 4.
So the inverse represents the reverse of the given process.
What is function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
According to the function,
Let the function be represented by f(x).
Step 1- Multiplying the number x by 4 results in 4x.
Step 2 - Subtracting 2 from results give 4x - 2.
So the function becomes:
f(x) = 4x - 2
We will find the inverse function by Replacing f(x) by y, and isolate x on one side of the equation and find the inverse:
[tex]y=4x-2\\\\ < br/ > y+2=4x\\ < br/ > x =\frac{1}{4} (y+2)\\ < br/ > f^-^1(y) = \frac{1}{4} (y+2)\\ < br/ > f^-^1(x) = \frac{1}{4} (x+2)[/tex]
Here,
The inverse function represents the reverse process.
Here, Original function involved multiplication by 4 and then subtraction of 2.
Inverse function involves addition of 2 and then division by 4.
So the inverse represents the reverse of the given process.
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The Womens' World Record Marathon time has improved by 34.82% from Dale Grieg's (UK) time of 3 hrs 27 mins 45s in 1964 to Paula Radcliffe's (UK) time in 2003. Find Paula Radcliffe's World Record time.
Using proportions, it is found that Paula Radcliffe's World Record time was of 2h 15 min 25s.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In seconds, Dale Grieg's time is of:
3 x 3600 + 27 x 60 + 45 = 12,465s.
The Womens' World Record Marathon time has improved by 34.82%, that is, it was reduced by 34.82%, which means that the time is 65.18% of what it was, hence Paula Radcliffe's time is seconds is given by:
P = 0.6518 x 12465 = 8,125s.
In hours, minutes and seconds, we have that:
8,125s = 2h 15 min 25s.
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What is the approximate angle made by the stairway with the ground?
Answer: C
Step-by-step explanation:
[tex]\sin x=\frac{13}{18}\\\\x=\sin^{-1} \left(\frac{13}{18} \right) \approx \boxed{46.24^{\circ}}[/tex]
1
in
Which of the following gives a single solution of the inequality Ix+31-230 and shows a graph that can be used to
determine the entire solution set of the inequality?
x=0
--6-5
O x=-1
Mark this and return
54
3
4
t..
1 2 3 4
Save and Exit
Next
Submit
The required range of the x in the inequality [tex]\left|x+3\right|-2\le0[/tex] is [-1, -5]
and the graph is attached below
Inequality, can be define as when the equations contain [≤ , ≥ <, >] is called inequalities.
Simplifying
[tex]\left|x+3\right|-2\le0[/tex]
[tex]|x+3|\leq 2\\-2\geq x+3\leq2 \\-5\geq x \leq-1[/tex]
Thus, the required range of x in inequality [tex]\left|x+3\right|-2\le0[/tex] is [-5, -1].
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Answer: The answer to the question is Answer Choice "B"
where it says x=-1
Step-by-step explanation:
Proof that It's actually correct as you can see it on the screenshot :)
lorena lifeguards at a lap pool that is 25 yards long, 10 ards wide, and 2 yards deep. There is a drain around he entire top edge of the pool. Each winter, Lorena uts a cover over the top surface of the pool. 25 yd Cover 2 yd 10 yd Which statements are true about the poor? Check all that apply The drain is best measured using perimeter The volume of water in the pool is measured in square yards The area of the cover is 250 yo The length of the drain is the perimeter of the top of the pool and is 100 yd One edge of the pool measures 10 yd orena lifeguards at a lap pool that is 25 yards long , 10 ards wide , and 2 yards deep . There is a drain around he entire top edge of the pool . Each winter , Lorena uts a cover over the top surface of the pool . 25 yd Cover 2 yd 10 yd Which statements are true about the poor ? Check all that apply The drain is best measured using perimeter The volume of water in the pool is measured in square yards The area of the cover is 250 yo The length of the drain is the perimeter of the top of the pool and is 100 yd One edge of the pool measures 10 yd
The true statements about the pool are
The drain is best measured using perimeter The area of the cover is 250 square yardsOne edge of the pool measures 10 ydHow to determine true statements?The given parameters are:
Length = 25 yardsWidth = 10 yardsDepth = 2 yardsTo measure the drain, we simply calculate the perimeter of the edge of the pool.
This means that (a) is correct
When the volume is calculated, the unit is cubic yard or yd³.
This means that (b) is wrong
The area of the cover is:
Area = Length * Width
This gives
Area = 25 yards * 10 yards
Evaluate
Area = 250 square yards
This means that (c) is correct
The length of the drain is calculated as:
Perimeter = 2 *(Length + Width)
This gives
Perimeter = 2 * (25 + 10)
Evaluate
Perimeter = 70
This means that (d) is wrong
Lastly (e) is correct, because the width of pool is 10 yards
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CAN ANYONE HELP ME WITH THIS QUESTION?
Answer:
try 4
Step-by-step explanation:
8x4= 32
32-7=25
Anyone know what to do to figure this out ? :1/2(27+6)10
[tex]\bf{\dfrac{1}{2}(27+6)10 }[/tex]
Add 27 and 6 to get 33.
[tex]\bf{\dfrac{1}{2}(33)(10) }[/tex]
Multiply 1/2 by 3 to get 33/2.
[tex]\bf{\dfrac{33}{2}(10) }[/tex]
Express 33/2 (10) as a single fraction.
[tex]\bf{\dfrac{(33)(10)}{2} }[/tex]
Multiply 33 and 10 to get 330.
[tex]\bf{\dfrac{330}{2} }[/tex]
Divide 330 by 2 to get 165.
[tex]\bf{165 \ \ \to \ \ \ Answer}[/tex]
{ Pisces04 }Question 1 of 15
Solve 18x+62 12x+18.
A. x ≥ 4
B. x≤ 4
C. x≤2
D. x ≥ 2
Answer:
18+62=80x
12+18=30x
x=80÷30=2
x>2
A trader sold a tv for sh .18000 making a 20percent loss.For how much was he supposed to sell it in order to make 20percent profit.
Answer:
The trader was supposed to cell the TV for sh. 27000 in order to make 20% profit
==============
Let the cost price is x.
We have:
x - 20% = 18000Solve it for x:
x - 0.2x = 180000.8x = 18000x = 18000/0.8x = 22500The cost is 22500, find selling price with 20% profit:
22500 + 20% = 22500 + 0.2*22500 = 22500*1.2 = 27000For each experiment, determine whether events A and B are independent or dependent.
For the given experiments there are following outcomes.
A) Independent
b) Dependent
C) Dependent
D) Dependent
E) Independent
Probability can be defined as the ration of favorable outcomes to the total number of events.
For A)
A coin is tossed and a dice is flip. Both the event are independent of each other.
For B)
Choosing of clips have same total number of events that why both the events are dependent to each other.
For C)
It also have same number of total samples cause both cherries and nuts contained chocolate belongs to the same box. That's why its also dependent.
For D)
It is also dependent because the total number of sample is same for both the marbles.
For E)
It is independent, because for every box that picked reduces the size of sample and probability of picking new box wont depends on previous box.
Thus, this is how events are dependent and independent
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What is the L.C.M of 4,10
Answer:
The LCM is 20
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the LCM of 4, 10
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
The lcm stands for the least common multiple.
Using our times tables, let's find the lcm of 4 and 10.
[tex]\bf{Which\;is\;20}[/tex]. 40 is indeed a common multiple of 4 and 10, but it's not the least common multiple. The lcm is 20.
We can also list some multiples of 4 and 10 and find the lcm.
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...
10: 10, 20, 30, 40, 50, 60...
As you can see, we end up with the same answer: the lcm of 4 and 10 is indeed 20.
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Lcm=20}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]
x =x=x, equals
^\circ
∘
degrees
Answer:
Actually this question is easy. Mutual angles are equal to each other. Then 152-90=62
Solve for X
1. 6(8 x + 6) + - 1
2. 9x/7 + 6 = 6
3. 2x/11 (11 - 7) = 6
4.11x/4 (4 - 2) = 9x + 10
The value of x is
1. x= -37/48
2. x=0
3. x = 33/4
4. x= -20/7
What is equation?A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
1. 6(8 x + 6) + = - 1
48x + 36 = -1
x= -37/48
2. 9x/7 + 6 = 6
9x/7= 6-6
9x/7 =0
x= 0*7/9
x= 0
3. 2x/11 (11 - 7) = 6
x * 4= 6*11/2
4x= 33
x = 33/4
4. 11x/4 (4 - 2) = 9x + 10
11x/4 * 2 = 9x +10
11/2*x = 9x +10
-7/2x = 10
x= -20/7
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21. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?
21. Line 1: Passes through (1, 7) and (5, 5)
Line 2: Passes through (−1, −3) and (1, 1)
Answer:
The given lines are perpendicular.
Step-by-step explanation:
In the question, two lines are given as line 1 passes through (1,7) and (5,5). Whereas, line 2 passes through (-1,-3) and (1,1).
It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.
To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.
Step 1 of 2
Find the slope of first line.
[tex]$$\begin{aligned}m_{1} &=\frac{5-7}{5-1} \\m_{1} &=\frac{-2}{4} \\m_{1} &=-\frac{1}{2}\end{aligned}$$[/tex]
Step 2 of 2
Find the slope of first line.
[tex]$$\begin{aligned}&m_{2}=\frac{1-(-3)}{1-(-1)} \\&m_{2}=\frac{4}{2} \\&m_{2}=2\end{aligned}$$[/tex]
And
[tex]$$\begin{aligned}&m_{1} m_{2}=-\frac{1}{2}(2) \\&m_{1} m_{2}=-1\end{aligned}$$[/tex]
Since, both slopes are reciprocal of each other.
Therefore, the lines are perpendicular.
Write the equation of the circle graphed below. (-5,-5)
Answer:
(x+5)² + (y+5)² = 18
Step-by-step explanation:
Since the outline of the circle intersects with the point (-8,2), you can substitute to find the equation of the circle in the form (x-h)² + (y-k)² = r². First the center of the circle is given in the form (h,k). So (-5, -5) → (x – (-5))² + (y – (-5))² = r² → (x + 5)² + (y + 5)² = r².
Then to find r², substitute the given point with x and y.
((-8) + 5)² + ((-2) + 5)² = r²
(-3)² + (3)² = r²
18 = r²
r² = 18.
A 26-feet board is cut into 3 lengths where the first length is x, the second piece is 3 feet less than twice the first and the third piece is 2 feet more than the second. Find the length of the shortest piece.
We now have three equations, so we can solve them.
Let's define the length of the 3 boards in terms of x:
F=x
S=2x-3
T=2
F+S+T =26
x+2x-3+2 =26
3x =26+1=27
x =27/3 = 9 feet for First section
2x-3 =18-3 = 16 feet = Second
2 = Third
9+16+2 = 27
27 is the length of the shortest piece.
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The first digit of a 2-digit number is randomly selected from the set {1, 2}. The second digit is
randomly selected from the set {1, 2, 3, 4}. What is the probability that the 2-digit number is
prime?
The probability that the 2-digit number is prime is 3/8
How to determine the probability?The sets are given as:
First digit = {1, 2}.
Second digit = {1, 2, 3, 4}
When the 2-digit is formed, we have:
Numbers = {11, 12, 13, 14, 21, 22, 23, 24}
In the above set, there are 3 prime numbers out of the 8 numbers.
Hence, the probability that the 2-digit number is prime is 3/8
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A rectangle is divided into two equal parts and a circle is divided into four parts and a circle is divided into four equal parts. One part of rectangle is shaded.
How many parts of the circle should be shaded so that both the figures have the same fraction shaded?(1 Point)
Answer:
2 parts
Step-by-step explanation:
The rectangle has a 1/2 ratio, because there are 4 parts of the circle, you will shade 2. This is because 2/4 ratio is simplified to 1/2.
solve the following equation for q. 5q - 3p + 4 = 4q - 2
Drag the tiles to the correct boxes to complete the pairs.
Match each expression to its simplified form.
The simplification of each form of expression is;
(6r + 7) + (13 + 7r) = 13r + 20(13 - 3/2r) - (1 - r) = 12 - 1/2r(-8 - r) + (2r - 4) = -12 + r(7r - 3/2) - (2/3 + 6r) = r - 13/6Simplification(6r + 7) + (13 + 7r)
= 6r + 7 + 13 + 7r
= 13r + 20
(13 - 3/2r) - (1 - r)
= 13 - 3/2r - 1 + r
= 12 - 3/2r + r
= 12 -3r+2r/ 2
= 12 - 1/2r
(-8 - r) + (2r - 4)
= -8 - r + 2r - 4
= -12 + r
(7r - 3/2) - (2/3 + 6r)
= 7r - 3/2 - 2/3 - 6r
= r -9-4/6
= r - 13/6
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What is the sum of the series infinity e n-1 -7(3/8)^n?
Let
[tex]S_N = \displaystyle \sum_{n=1}^N -7 \left(\frac38\right)^n = -7\left(\dfrac38 + \dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \cdots + \dfrac{3^N}{8^N}\right)[/tex]
Then
[tex]\dfrac38 S_N = -7\left(\dfrac{3^2}{8^2} + \dfrac{3^3}{8^3} + \dfrac{3^4}{8^4} + \cdots + \dfrac{3^{N+1}}{8^{N+1}}\right)[/tex]
[tex]S_N - \dfrac38 S_N = -7 \left(\dfrac38 - \dfrac{3^{N+1}}{8^{N+1}}\right)[/tex]
[tex]\dfrac58 S_N = -\dfrac{21}8 \left(1 - \left(\dfrac38\right)^N\right)[/tex]
[tex]S_N = -\dfrac{21}5 \left(1 - \left(\dfrac38\right)^N\right)[/tex]
As [tex]N\to\infty[/tex], the exponential term will converge to zero, so the infinite sum converges to
[tex]\displaystyle \sum_{n=1}^\infty -7 \left(\frac38\right)^n = \lim_{n\to\infty} S_N = \boxed{-\dfrac{21}5}[/tex]
Geometry question confused
Answer:
my ans will be wrong also and right also 50%5$chances it is an opposite angle so it is in out manner so iys sum is 180 so we have to subbtract
Step-by-step explanation:
65०to 180०(180०-65०=115०) i think ans is 115०the missing angle measurement is 115०in my opinion
What times itself gets 2230
There's no "whole" number that gets exactly to 2230 (but the question that you are asking is the square root of 2230 I believe) but the answer would essentially be about 47.22.
Find the total surface area of this cylinder.
Give your answer to 1 decimal place.
20 cm
11 cm
find intervals when the graph is growing or increasing or constant
The function shown in the graph is increasing over the interval (-1, 0) and (1, ∞). It is decreasing over the interval (-∞, -1) and (0, 1). The function does not remain constant.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The function shown in the graph is increasing over the interval (-1, 0) and (1, ∞). It is decreasing over the interval (-∞, -1) and (0, 1). The function does not remain constant.
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Please help ASAP!
Robin can clean 72 rooms in 6 days.
How many rooms can Robin clean in 9 days?
I'll give 20 points away.