What is the standard deviation of this data? Round your answer to the nearest hundredth of a number?
10, 12, 8, 2

Answer:

Step-by-step explanation:

Multiply 3.5 and 2 together, obtaining 7.

Then add the exponents -6 and -4, obtaining -10.

The product is thus 7·10^(-10), or, after simplification,

7·10^(-9), or

    7

----------

 10^9

Answer:

Not Defined

Step-by-step explanation:

Anything divided by 0 is said to be infinity or not defined.

The formula for the amount in the account after t years is given by:

F(t) = 9521 *\(e^(0.027t)\)

Let's find out:

We want to find the rate at which the account is growing after 6 years, which is the first derivative of the function F(t) with respect to t, evaluated at t = 6:

F'(6) = (d/dt) [9521 * \(e^(0.027t)\)] | t=6

Using the chain rule of differentiation, we get:

F'(6) = 9521 * 0.027 * \(e^(0.027t)\) | t=6

F'(6) = 9521 * 0.027 *\(e^(0.027*6)\)

F'(6) ≈ 1429.97

Rounding to two decimal places, the rate at which the account is growing after 6 years is approximately 1429.97. The units of the rate are dollars per year.

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Annual cost to operate farm B well with cost of natural gas $2.50 per 1,000 cubic feet and uses of 10000cubic feet of natural gas per year is $25.

As given,

Farm A:

Cost of natural gas per 1,000 cubic feet=$2.50

Farm B:

Uses of natural gas per year = 10000cubic feet

Cost of natural gas of farm B is same as farm A

Cost of natural gas per 1,000 cubic feet=$2.50

⇒1cubic feet=2.50/1000

Annual cost to operate 200ft well that uses 10000 cubic feet natural gas

10000 cubic feet=(2.50 ×10000)/1000

                             =$25

Therefore, annual cost to operate farm B well with cost of natural gas $2.50 per 1,000 cubic feet and uses of 10000cubic feet of natural gas per year is $25.

The complete question is:

Farm A has a 100 ft well that uses 7,000 cubic feet of natural gas per year. If the cost of natural gas for farm A is $2.50 per 1,000 cubic feet. And farm B has a 200 ft well that uses 10000 cubic feet of natural gas per year. if the cost of natural gas is the same a farm A, what is the annual cost to operate this well?

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The particle has a frequency of 0.032 hertz.

The particle experiments a sinusoidal motion, whose mathematical model is described below:

\(x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)\) (1)

Where:

The frequency (\(f\)), in hertz is defined by this formula:

\(f = \frac{\omega}{2\pi}\) (2)

By direct observation on the formula described in statement we find that \(\omega = 0.2\,\frac{rad}{s}\), then we find the frequency of the particle by (2):

\(f \approx 0.032\,hz\)

The particle has a frequency of 0.032 hertz.

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By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Step-by-step explanation:

djzbiznJzlzbzjdkzlz?kskdbdid jaozbizz,#

Answer:

2(-4)

Immediately, we can narrow it down to the first and last answer choices, since the product is negative. Since there are 4 arrows going left on the number line, the answer to this problem is 2(-4).  

The degree of freedom for the distribution in this test of homogeneity is 7.

For the degrees of freedom for the test of homogeneity for a contingency table, we use the formula:

df = (number of rows - 1) × (number of columns - 1)

In this case, the contingency table has 2 categories in the row variable and 8 categories in the column variable. Therefore, the number of rows is 2, and the number of columns is 8.

Substituting these values into the formula, we get

df = (2 - 1) × (8 - 1)

df = 1 × 7

df = 7

Therefore, the degree of freedom for the distribution in this test of homogeneity is 7.

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Answer:

B

Step-by-step explanation:

Graphs with x^2 look like a U shape as the negative x values will still result in a positive y value since a negative squared is a positive.

Answer:

If r=0, there is absolutely no relationship between the two variables.

Step-by-step explanation:

Answer: 52.5 minutes

Step-by-step explanation:

Answer:

The person below me is right

it's 52.5

Step-by-step explanation:

The sum of the 25th term of the AP 3, 10, 17 is 171.

The sum of the 25th term of an arithmetic progression (AP) 3, 10, 17 can be found using the formula for the nth term of an arithmetic progression, which is:
aₙ = a₁ + (n - 1) d
where aₙ is the nth term, a₁ is the first term, d is the common difference, and n is the number of terms.

In this case, a₁ = 3, d = 10 - 3 = 7, and n = 25. Plugging in these values into the formula, we get:
a₂₅ = 3 + (25 - 1) 7
a₂₅ = 3 + 168
a₂₅ = 171

Therefore, the sum of the 25th term of the AP 3, 10, 17 is 171.

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Answer:

B

Step-by-step explanation:

Answer:

$4.20 Per month = $4.2/1month

Step-by-step explanation:

1 year = 12 months

Proportions:

12 months ⇒ $48.24

1 month ⇒ $P

P = 48.24*1/12

P = $4.2

Best measure of center for defensive linemen is the sample mean as it is not heavily influenced by outliers. Best measure of spread for defensive linemen is the sample standard deviation as it provides a measure of how spread out the data is from the mean.

Standard deviation for the offense is 26.16 and for the defense is 23.03. These values indicate that the weights of the offensive linemen are more spread out than the weights of the defensive linemen.

If you were purchasing uniforms for each group, this information would be useful in determining the range of sizes needed for each group and ensuring that there are enough uniforms available in each size. It would also be helpful in determining if any custom sizing needs to be done for certain players. Additionally, this information could be used to inform decisions regarding player nutrition and conditioning programs, as it may be desirable for certain players to gain or lose weight in order to perform optimally on the field.

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The final amount is higher than the principal amount because of the effect of Compounding interest. The interest is calculated monthly and added to the principal, resulting in a higher amount at the end of the term.

We are given:

Principal amount (P) = $5000

Rate of interest (r) = 9% per annum

Compounding frequency (n) = 12 (monthly)

Time period (t) = 3 years

Using the formula for compound interest:

A = P(1 + r/n)^(nt)

Substituting the given values, we get:

A = $5000(1 + 0.09/12)^(12*3)

A = $5000(1.0075)^36

A = $6817.60

Therefore, Peter owes $6817.60 at the end of 3 years.

the final amount is higher than the principal amount because of the effect of compounding interest. The interest is calculated monthly and added to the principal, resulting in a higher amount at the end of the term.

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Answer:

11.21157846 =x

Step-by-step explanation:

We know log b (a) = c  can be written as b^c =a

log 3 (x) = 2.2

3^2.2 = x

11.21157846 =x

Answer:

\(\large \boxed{\sf \bold{A.} \ x=11.21}\)

Step-by-step explanation:

\(\large \sf log_3 (x)=2.2\)

Solve this by converting the logarithmic statement into its equivalent exponential form, using the relationship:

\(\large \sf log_b(y)=x\)

\(\large{\sf y=b^x}\)

Apply the relationship.

\(\large \sf log_3 (x)=2.2\)

\(\large \sf x=3^{2.2}\)

\(\large \sf x=11.21157845...\)

\(\large \sf x \approx 11.21\)

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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This question is about probability. The answer for this question is 34,09%.

Suppose there was survey that state that the number of hours spent per week on house hold course of adult has mean 26,3 and standard deviatiador 7,4 and, sample are 46.

First, we need to know the base formula for probability given a mean and standard deviation.

First we need to know the z-score with this formula:

z-score =( x -μ )/ δ

Where:

X = individual data

μ = population mean

δ = population standard deviation.

But in this case, we were asked about the probabilty mean of 46 people. Then, we can use this formula :

Z-score =(x- μ) / (δ /√n)

Where :

X = sample mean

μ = population mean

δ = population standard deviation

Then we can find the z-score in z-table value.

Given :

X = 26,75

μ = 26,3

δ = 7,4

n = 46

Question :

Probability mean more than 26,75

Answer :

Z-score = (x- μ) / (δ /√n)

Z-score = (26,75 - 26,3)/ (7,4/√46)

Z-score = (0,45)/ (1,09)

Z-score = 0,4128

if we look in z-score table, we get number 0,6591.The probability that the mean hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is 1 substract by the value of z-score ,

So, the probability mean for working adult more than 26,75 is 1 - 0,6591 = 0,3409 = 34,09%

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Answer:

I think the answer is 42%

I don't really know for sure though

Answer

<CFE

Step-by-step explanation:

alternate means across Interior between the lines

Answer:

2+i or 2-i (D)

Step-by-step explanation:

First you use the quadratic formula.  X= (-b +/- \(\sqrt{b^{2}-4ac }\))/2a

a=1

b=-4

c=5

X= (4 +/- \(\sqrt{16-20}\))/2

X=(4 +/- \(\sqrt{-4}\))/2

The square root of -4 is 2i.  i=√-1.  Therefore 2i= 2√-1 .If you simplify that, it becomes  √-4i.  

X= (4+/- 2i)/2

X= 2+/-i

X= 2+i or 2-i

The required answer is the value of tan(2) is approximately -2352/3669.

To evaluate the expression under the given conditions, we will first determine the value of sin() using the Pythagorean identity and then use the double-angle formula for tan(2).
A Quadrant is circular sector of equal one quarter of a circle ,or  a half semicircle. A sector of two-dimensional cartesian  coordinate system.  The Pythagorean identity, are useful expression involving the function need to simplified.

Given: cos() = 7/25, and is in Quadrant I.
Step 1: Find sin()
Since we are in Quadrant I, sin() is positive. Using the Pythagorean identity, sin^2() + cos^2() = 1, we can find sin().
sin^2() + (7/25)^2 = 1
sin^2() = 1 - (49/625)
sin^2() = (576/625)
sin() = √(576/625) = 24/25

we  are called the Pythagorean identity is  Pythagorean trigonometric identity, is expression A to B .

The same value for all variables within certain range. Angle is double or multiply by 2 so we called double- angle.

Step 2: Find tan(2) using the double-angle formula
The double-angle formula for tangent is: tan(2) = (2 * tan()) / (1 - tan^2())
First, we find tan():
tan() = sin() / cos() = (24/25) / (7/25) = 24/7
Now, use the formula for tan(2):
tan(2) = (2 * (24/7)) / (1 - (24/7)^2)
tan(2) = (48/7) / (1 - 576/49)
tan(2) = (48/7) / ((49 - 576) / 49)
tan(2) = (48/7) * (49 / (-527))
tan(2) = (-2352 / 3669)
So, under the given conditions, the value of tan(2) is approximately -2352/3669.

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Answer:

answer is. option (b) answer

Answer:

(-7,22)

Step-by-step explanation:

X=-7 and y=22

Answer:

a, b, e,f

Step-by-step explanation:

i dont have one