Find the following measure for the set of data given below (Use
formula card or calculator if necessary). x Freq(x) 11 3 12 8 13 3
14 4 15 2
If you draw a histogram for this data, it will be
A. Unifor

Answer:

0.0000000034

Step-by-step explanation:

3.4 × 10^-8

0.0000000034

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer:

(15÷8+2÷5)+(-7÷8)

=(1.875+0.4)- 0.875

= 2.275 - 0.875

=== 1.4

Step-by-step explanation:

mark me as brainlist

Answer: ​7/5, or 1.4, 1.4 in fraction is 7/5

​​  

The given series, 22 + 100/(3^(2n+1)) * (5^(-1)), is absolutely convergent.

To determine the convergence of the series, we need to examine the behavior of its terms as n approaches infinity. Let's break down the series into its two terms. The first term, 22, is a constant and does not depend on n. The second term involves a fraction with a power of 3 and 5. As n increases, the numerator, 100, remains constant. However, the denominator, (\(3^{2n+1}\)) * (\(5^{-1}\)), increases significantly.

Since the exponent of 3 in the denominator is an odd number, as n increases, the denominator will become larger and larger, causing the value of each term to approach zero. Additionally, the term (\(5^{-1}\)) in the denominator is a constant. As a result, the second term of the series approaches zero as n goes to infinity.

Since both terms of the series tend to finite values as n approaches infinity, we can conclude that the series is absolutely convergent. This means that the sum of the series will converge to a finite value, and changing the order of the terms will not affect the sum.

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Answer:

I will use formular for gradient

= y²-y¹

x²-x¹

2-1.5

4-1.5

1.5

3.5

The value of logm 4/m is 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

Given that logm 3 = 0.903, logm 4 = 1.139, and logm 7 = 1.599. We are to find logm 4/m.

Using the properties of logarithm, we have,

logm 4/m = logm 4 - logm m

               =1.139 - logm m               .....................................(1)

Again, using the properties of logarithm, we know that:

logm 4 = logm (2 × 2)  

        = logm 2 + logm 2

         = 1.139 = 2logm 2                    ..................................(2)

Substituting equation (2) into (1) gives:

logm 4/m = 2logm 2 - logm

           m = 2logm (2/m)          ..................................................(3)

Using the property of logarithm once again, we know that:

loga b = logc b / logc a                     ............................................(4)

Substituting equation (4) into equation (3), we have:

logm 4/m = 2 logm 2 - logm

m= logm [(2/m)² / m]                       .............................................(5)

Now, we are to find logm 4/m by substituting the given values.

Using equation (2), we have:

logm 2 = (1.139)/2

     = 0.5695

Using equation (5), we get:

logm 4/m = logm [(2/m)² / m]

logm 4/m = logm [4/m²m]

 logm 4/m = logm 4 - logm

logm 4/m = 1.139 - 2 logm m

Therefore, by using the properties of logarithm, we have found that logm 4/m = 1.139 - 2 logm m. This means that we can express logm 4/m in terms of other logarithmic values without finding the exact value of m.

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Answer:

-16

Step-by-step explanation:

Answer:

What is the lowest common denominator?

✔ 6

Rewrite the difference as a sum of the fractions using the lowest common denominator.

✔ 5/6 + (–4/6)

What is the answer?

✔ 1/6

Step-by-step explanation:

Fractions can be combined by taking their LCMs

The numbers are given as:

\(\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}\)

The denominators are 3 and 6.

Factor both numbers;

\(\mathbf{3 = 1\times 3}\)

\(\mathbf{6 = 1 \times 2 \times 3}\)

So, the LCM is:

\(\mathbf{LCM = 1 \times 2 \times 3}\)

\(\mathbf{LCM = 6}\)

The lowest common denominator is 6

The expression is represented as:

\(\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}\)

Rewrite as:

\(\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}\)

Hence, the new expression is \(\mathbf{-\frac{4}{6} + \frac{5}{6}}\)

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The complement of the empty set is the set of all possible elements in the universal set U, which is the English alphabet in this context.

The universal set U is defined as the set of all possible elements or values under consideration for a given context. On the other hand, the complement of a set A is defined as the set of all elements that are not in A but are in U.

The complement of the empty set is defined as the set of all elements in U since the empty set is a subset of every set.

Therefore, the complement of the empty set in this context would be the entire set of all letters in the English alphabet.

This is because the empty set contains no elements, and therefore, its complement would be the set of all possible elements in U, which in this case is the English alphabet.

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The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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The required total number of pages in the dictionary are 443.

A sum equivalent to three of the four a balance of which make up something : 75%. 3/4 of the class will be going on the excursion. 3/4 of 60 minutes.

We have,

Dictionary contains 253 pages,

Then,

Total number of pages in the dictionary = 253 + \(\frac{3}{4}\) of 253

253 + approx(190)

Total pages =  443 pages

Thus, required number of pages are 443.

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Answer:

14

Step-by-step explanation:

To find the length of the rectangle, we can use the formula for the perimeter of a rectangle, which is:

P = 2L + 2W

where P is the perimeter, L is the length, and W is the width.

By substituting the given values, we get:

60 = 2L + 2(16)

Simplifying the right-hand side, we get:

60 = 2L + 32

Subtracting 32 from both sides, we get:

28 = 2L

Dividing both sides by 2, we get:

L = 14

Therefore, the length of the rectangle is 14 inches.

The half-life of the substance is 1.44 years.

Half-life is defined as the time it takes for half of the original amount of a radioactive substance to decay.

It is denoted by T1/2. If after 1 year, 90% of the initial amount of a radioactive substance remains, then it means that 10% of the substance has decayed.

This 10% is equal to half of the original amount of the substance.

Therefore, we can find the half-life using the following formula:0.5 = (1/2)^(t/T1/2)

where t = 1 year (time elapsed) and 0.5 is half of the original amount of the substance.

Substituting the values, we have:0.5 = (1/2)^(1/T1/2)

Taking the logarithm of both sides, we get:

log 0.5 = log [(1/2)^(1/T1/2)]

Using the power rule of logarithms, we can simplify the right-hand side of the equation as follows:

log 0.5 = (1/T1/2) log (1/2)

Recall that log (1/2) is equal to -0.3010. Substituting this value and solving for T1/2:log 0.5 = (1/T1/2) (-0.3010)T1/2 = 1.44 years

Therefore, the half-life of the substance is 1.44 years.

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The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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The correct answer is:

c. The z-value for a standard normal distribution can be either positive or negative.

The z-value, also known as the standard score, measures the distance between a data point and the mean of its distribution in units of standard deviation. It is calculated by subtracting the population mean from the data point and then dividing the result by the standard deviation.

Since the mean of a standard normal distribution is zero, the z-value simply represents the number of standard deviations a data point is from the mean. As a result, the z-value can be either positive or negative, depending on whether the data point is above or below the mean, respectively.

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Answer:8000

Step-by-step explanation:

The Volume of the box will be 8000 in.³

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape such as here :

It should be noted that a box has six sides that are equal. In this case, we've been given the side of one of the lengths to be 20 inches.

The volume of a cube is :

V = a³

Therefore, the Volume of the box will be :

V = 20³

V = 8000 in.³

Therefore, the Volume of the box will be 8000 in.³

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Answer:

214.91

Step-by-step explanation:

203.71*(1+5.5%) =214.91

Answer:

140 poles

Step-by-step explanation:

1. Convert to the same unit. Either meters to kilometers or kilometers to meters, so you can complete the computation.

2. Divide 0.06 by 8.4 (8.4/0.06 = 140).

3. 140 poles can be placed on the 8.4 km road when separated by 60 m or 0.06 km.

The probability that her trip will take exactly 50 minutes is 1 / 50.Since the travel time is uniformly distributed between 40 and 90 minutes, the probability density function (PDF) is constant within that interval.

To find the probability that her trip will take exactly 50 minutes, we need to calculate the width of the interval and divide it by the total width of the distribution. The width of the interval from 40 to 90 minutes is 90 - 40 = 50 minutes. Since the PDF is constant within this interval, the probability density is 1 / (width of interval) = 1 / 50.

Therefore, the probability that her trip will take exactly 50 minutes is 1 / 50.

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The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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Answer:

The runner's unit rate is:  7 mph

Step-by-step explanation:

The runner's unit rate is the speed of the runner used to cover a mile in one hour

Given that ;

1/4 hours covers 7/4 miles

so;

1/4 = 7/4

1 =?

Perform cross product as;

(1*7/4) / 1/4

(7/4) / (1/4)

7/4 * 4/1

7 miles/hour

The inequality to describe the relationship between the number of floors (f) and the maximum number of offices (o) is:

f * o ≤ 195.

Let's assume that the number of floors in the building is represented by the variable "f" and the maximum number of offices on each floor is represented by the variable "o". To write an inequality describing the relationship between the number of floors and the maximum number of offices, we can use the following inequality:

f * o ≤ 195

In this inequality, the product of "f" and "o" represents the total number of offices in the building. We multiply the number of floors by the maximum number of offices per floor to obtain the total number of offices. The inequality states that the total number of offices must be less than or equal to 195.

This inequality ensures that the building does not exceed the maximum limit of 195 offices. It allows for flexibility in the distribution of offices across the floors, as long as the total number of offices does not exceed the given limit.

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77.4

hope this helps you

Answer:

77.4

Step-by-step explanation:

The value of the expression 6×(0.7 + -0.8) ÷ -2 is 0.3.

To calculate the expression 6×(0.7 + -0.8) ÷ -2

we can follow the order of operations (PEMDAS/BODMAS) which states that we should first perform any calculations within parentheses

Evaluate any exponents or multiplication/division operations from left to right, and finally perform addition/subtraction operations from left to right.

Let's break down the expression step by step:

Calculate the sum within the parentheses:

0.7 + -0.8 = -0.1

Multiply the result by 6:

6 × (-0.1) = -0.6

Finally, divide the result by -2:

-0.6 ÷ -2 = 0.3

Therefore, the value of the expression 6×(0.7 + -0.8) ÷ -2 is 0.3.

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Answer:

Step-by-step explanation:

The false statement among the given options is statement iv: "The sample means calculated from the samples of size 10 give a biased estimate of the true population mean compared with those from the samples of size 100."

Statements i, ii, and iii are true:
i. Each of the means calculated from the samples of size 100 is an unbiased estimate of the population mean. This is true because unbiased estimates are obtained when the sample mean is equal to the population mean on average.
ii. The standard deviation of the means calculated from the samples of size 10 is likely to be larger than the standard deviation of the means calculated from the samples of size 100. This is true because larger sample sizes tend to provide more precise estimates, resulting in smaller variability or standard deviation.
iii. Each of the means calculated from the samples of size 10 is an unbiased estimate of the population mean. This is true because unbiasedness is not dependent on sample size but on the sampling method itself.

Statement iv is false because the sample means calculated from samples of size 10 are unbiased estimates of the population mean, just like those calculated from samples of size 100. Unbiasedness is not influenced by sample size, but rather by the sampling method. The only difference is that the standard deviation of the means calculated from the samples of size 10 is expected to be larger than the standard deviation of the means calculated from the samples of size 100, as mentioned in statement ii.

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Answer: we need a picture to solve this, please repost with a picture of your assignment

Step-by-step explanation:

Answer:

D.) 0, pi/2, pi 3pi/2

Step-by-step explanation:

The maximum amount of customer securities that the firm collateral to borrow money from a bank would be $15,000

In a margin account, the maximum amount of customer securities that a firm can use as collateral to borrow money from a bank depends on the initial margin requirement set by the regulatory authorities or the brokerage firm. The initial margin requirement is the percentage of the total investment that the investor must personally contribute in cash, while the remaining amount can be borrowed from the brokerage firm.

The maximum amount of customer securities that  collateral,  the initial margin requirement. A commonly used initial margin requirement of 50% for this example. The investor needs to contribute at least 50% of the total investment, while the brokerage firm can lend the remaining 50%.

Given that the investor bought 1,000 shares of ABC at $30, the total investment is calculated as:

Total Investment = Number of Shares x Share Price

Total Investment = 1,000 shares x $30

Total Investment = $30,000

To calculate the maximum amount of customer securities that can be used as collateral, the total investment by the initial margin requirement:

Maximum Collateral = Total Investment x Initial Margin Requirement

Maximum Collateral = $30,000 x 50%

Maximum Collateral = $15,000

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The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

21 to 6 or 21:6

Step-by-step explanation:

This is because soldiers come first then nut crackers