Applying the square root of the variance, the standard deviation of the distribution is of 13.964.
What is the standard deviation of a distribution?The standard deviation of a distribution is given by the square root of the variance of the distribution.
For this problem, the variance of the distribution is of 195, hence the standard deviation is:
s = sqrt(195) = 13.964.
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What is 7/8 - 2/3 equal
Answer:
5/24 is your answer
Step-by-step explanation:
4. The heights of 50 children were measured (correct to the nearest cm) giving the following
results:
Height (in cm)
66
69
71
72 73
4
11
10
6
2
No. of children
4
Calculate the mean height for this distribution correct to one place of decimal.
65
1
67
5
68
7
70
Answer:
To calculate the mean height, we need to find the sum of all the heights and divide it by the total number of children:
Sum of heights = (66 x 4) + (69 x 11) + (71 x 10) + (72 x 6) + (73 x 2) = 264 + 759 + 710 + 432 + 146 = 2311
Total number of children = 4 + 11 + 10 + 6 + 2 = 33
Mean height = Sum of heights / Total number of children = 2311 / 33 = 70.0
Therefore, the mean height for this distribution is 70.0 cm. Answer: 7
Answer:
Step-by-step explanation:
38.4 cm
add all the heights and divide by ten(since total number of heights were ten)
35.5
the half-life of zn-71 is 2.4 minutes. given you start with 50g of the material, how many minutes will pass before you have 5g left?
Before 5g left, 7.2 minutes had gone by.
How do you define time and distance?Distance, time, and speed are all related to one another in their fundamental concepts. Distance traveled by a body in a given amount of time is its speed. That is Speed = Distance / Time. Normal Speed: Normal Total distance times speed Speed: Speed = Distance x Time Distance = D. (Speed x Time) Distance multiplied by speed equals time. mass This means that it would take 7.2 minutes before you had 5 g left: 0. 502.4. 254.8. 12.57.2. 6.259.6.
Why is it known as a half-life?The amount of time it takes for a radioactive element to decay to half its original value is known as its half life. The time it takes for a source's activity to decrease to half its initial value is implied by this to be the definition of a half life.
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If y=sin x and y{n} means the nth derivative of y with respect to x then the smallest positive integer n for which y(n)=y is:________
y4 = sin x is the smallest positive integer n .
What is a positive integer, exactly?
If an integer is more than zero, it is positive; otherwise, it is negative. Zero is characterized as being neither positive nor negative.What is a positive integer example?
A whole number, or a number whose decimal portion is 0, is another name for an integer. 72 is an illustration of a positive integer.
y = sin x
1 derivative of sin x -
y' = cos x
2 derivative of cos x
y'' = - sinx
3 derivative of sinx
y''' = - cos x
4 derivative of cos x
\(y^{(4)} = sinx\)
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50 is what percent of 1000
Answer:500
explanchion: 1000/50=500
two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. find the probability that both marbles are red.
The probability that both marbles are red is 2/14 or 1/7.
This is because there are only two red marbles in the box, so the probability of the first being drawn is 2/14 (or 1/7). Since the first marble is not replaced, the probability of the second being drawn is also 2/14 (or 1/7). Mathematically, this can be expressed as: P(Both Red) = P(Red 1) x P(Red 2) = (2/14) x (2/14) = 1/7
In general, when dealing with probability questions involving drawing multiple objects from a box, the probability of drawing one object followed by another is calculated by multiplying the probability of drawing each individual object.
In the case of two marbles being drawn without replacement, the probability of both marbles being the same color is calculated by multiplying the probability of the first marble being of that color by the probability of the second marble being of that color.
The probability of the second marble being of the same color is lower than the probability of the first marble being of that color since it is drawn from a reduced set (the original set minus the first marble).
In this case, the probability of the second marble being of the same color as the first is 2/14, or 1/7. In conclusion, the probability of both marbles being red is 2/14, or 1/7.
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Need answer for both will mark brainlest
Hey there ..
In ∆PRS and ∆RPQ ,
PS=QR (given)
angle PRS =angle QPR (90°)
PR=PR (common)
therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )
Hope it helps ..and plz mark me as brainliest if u found it helpful
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
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9x - 4 = 5x - 4 + 4x
Answer:
x = 1
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
2^-5 =
Can someone please help
Answer:
\(\frac{1}{32}\)
Step-by-step explanation:
Using the rule of exponents
\(a^{-m}\) = \(\frac{1}{a^{m} }\) , then
\(2^{-5}\) = \(\frac{1}{2^{5} }\) = \(\frac{1}{32}\)
What is the answer? i need help so bad....
Answer:
18
Step-by-step explanation:
(6 * 3 ) - (8 * 0) = 18
Name the object below.
Thank you :’)
Answer:
The answer is option A.
A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring.
Select one:
True
False
This statement is true
A probability is a numerical value that indicates the chance, or likelihood, of a specific event occurring. Probability is the measure of the likelihood of a random event happening, and it is expressed as a number between 0 and 1, with 0 implying that the event would never occur and 1 implying that it is certain to happen.
The probability of an event happening is referred to as its likelihood. Probability can be expressed as a fraction, percentage, or decimal, and it is a vital tool in statistics. It is frequently utilized in mathematics to estimate real-world situations that involve random variables such as coin flips, weather patterns, stock market trends, and even sporting events.
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Isabella, the owner of an e-commerce site, buys lawn mowers for $32 and then sells them on
her site for $40. What is the mark-up, as a percentage?
Answer:
the markup is 8%
Step-by-step explanation:
No desenvolvimento da multiplicação 2 × (4+7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, qual propriedade fui utilizada?
Answer:
Propiedad distributiva de la multiplicación sobre la suma
Step-by-step explanation:
Spanish
Propiedad distributiva de la multiplicación sobre la suma
2 × (4 + 7)
Aquí vemos que el número 2 se multiplica por 4 y 7
2 se distribuye a 4 y 7
= 2 × 4 + 2 × 7
Después de la multiplicación se suman ambos
= 8 + 14 = 22
Esta propiedad se llama propiedad distributiva de la multiplicación sobre la suma.
English
No development of multiplication 2 × (4 + 7) = 2 × 4 + 2 × 7 = 8 + 14 = 22, which property was used?
Distributive property of multiplication over addition
2 × (4 + 7)
Here we see that the number 2 is multiplied with both 4 and 7
2 is distributed to both 4 and 7
= 2 × 4 + 2 × 7
After multiplication both are added
= 8 + 14 = 22
This property is called distributive property of multiplication over addition.
find the value of given expression
=》
\( \frac{ \sqrt{121} }{11} \)
Answer:
Answer is 1 I hope this help you
Which statements are true? Check all that apply.
The ratio of the measure of the central angle to the measure of the entire circle is StartFraction 5 Over 2 pi EndFraction.
The ratio of the measure of the central angle to the measure of the entire circle is Five-halves.
The area of the sector is 250 units².
The area of the sector is 100 units².
The area of the sector is more than half of the circle’s area.
Answer:
1, 3, 5
Step-by-step explanation:
just took the edge.
The area of the sector is 250 units². Therefore, the correct option is option A among all the given options.
What is sector of circle?A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also called as an arc) and two of its radii meet, a sector is produced. A sector of such a circle resembles a piece of pizza or a pie in shape.
A circle ranks among the most ideal shapes in geometry. The simplest geometric shape is that of a circle's sector. It has a number of its own components. such as sector, segmentation, circumference, segment, and diameter. The area of the sector is 250 units².
Therefore, the correct option is option A.
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Farmer Ed has 3,000 meters of fencing. and wants to enclose a reclangular plot that borders on a river. If Famer Ed does nat fence the side along the river, What is the largest area that can be enclos
Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.
What is the largest area that can be enclosed?To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.
Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.
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How will you use graph to solve Linear Inequalities?
2x+y=3
Зу = 18 -6x
On a graph please
3. The number which when substituted in a polynomial makes its value zero.
The number which when substituted in a polynomial makes its value zero is called the zero of the polynomial.
What is zero of a polynomial?The zero of a polynomial can be defined as the points where the polynomial becomes zero as a whole.
In other words, The zeros of a polynomial p(x) are the values of x which satisfy the equation p(x) = 0
For example, the zero of the polynomial f(x) = x³- 12x²+ 20x is x = 0 or x = 10 or x = 2.
This is because f(x) = o when we substitute those x values.
Therefore, the number which when substituted in a polynomial makes its value zero is called the zero of the polynomial.
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If a function f has an inverse and f(x) = -1, then f'(-1)= __ If a function f has an inverse and f(x) = - 1, then f'(-1)=0
In order for the function to have an inverse, f'(x) ≠ 0. Therefore, we cannot provide a specific value for f'(-1) based on the given information.
A function that reverses the effects of another function is called an inverse function. It links each of the original function's output values to the relevant input value. A function must be one-to-one and onto in order to have an inverse. In other words, the function must be able to handle every potential output value and each input value must translate into a distinct output value.
To find the derivative of the inverse function at a given point, we can use the formula:
(f^(-1))'(y) = 1 / f'(f^(-1)(y))
In this case, we know that f(x) = -1. Let's assume f^(-1)(-1) = x. Then, we have:
f^(-1)'(-1) = 1 / f'(x)
Now, according to the given information, f'(-1) = 0. However, this statement is incorrect because it would lead to division by zero in our formula, which is undefined. In order for the function to have an inverse, f'(x) ≠ 0. Therefore, we cannot provide a specific value for f'(-1) based on the given information.
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Solve y=f(x) for x . Then find the input when the output is −3 . f(x)=−2/3x+1
The value for the input when the output is −3 is 6.
What are linear equations?When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."
There are both one-variable and two-variable linear equations.
Given y = f(x)
and f(x) = -2/3x + 1
to find the value of x when f(x) = -3
substitute the value of f(x)
f(x) = -2/3x + 1
-3 = -2/3x + 1
-2/3x = -3 - 1
2/3x = 4
x = 4*3/2
x = 6
Hence the input is 6.
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5.8 rational or irrational?
Answer:
Yes,its Rational
Step-by-step explanation:
it is nothing but 58/10
Answer:
Rational number not irrational number
Find 39.2% of 448.Round to the nearest hundredth.
Answer:
175.62
Step-by-step explanation:
39.2•448=17561.6
17561.6/100=175.616
=175.62
solve each system of equations algebraically y= x-6 y= 2x
Answer: x = -6
Step-by-step explanation: The problem gave us the y value, so we can just substitute it into the equation and solve it.
y = x - 6
y = 2x
2x = x - 6 (substitute the y value into the equation)
1x = -6 (subtract x on each side)
x = -6 (1x is basically saying x so you do not need to divide)
Can someone help me
How many edges does the following shape have?
Four edges I believe :))
BRAIN TO CORRECT ANSWER!!
Find the value of x.
A. 21
B. 4
C. 13
D. 11
Answer:
160° and the angle (10x+50)° are congruent. So
160°=10x+50
subtract 50° from both sides
110=10x
divide 10 by both sides
11=x
The answer js
D.11
in the diagram below, AB CD and BPT = 118 Calculate the value of x and y.
The value of x is 36 and the value of y is 108
How to calculate the values of x and y?The diagram that completes the question is added as an attachment
From the figure, we have:
Internal angles within a transversal = 3x and 2x
The sum of these angles is 180 degrees.
So, we have
3x + 2x =180
Evaluate the sum
5x = 180
Divide both sides by 5
x = 36
Also, we have
y = 3x ---- vertical angles
Substitute x = 36 in y = 3x
y = 3 * 36
Evaluate the product
y = 108
Hence, the value of x is 36 and the value of y is 108
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