run charts of sample averages with statistically determined upper and lower limits are:

Answer:

Step-by-step explanation:

Square, Irregular shape

Answer:

101

Step-by-step explanation:

Given the expression:

2016 · 199 = 2016·? +2016 · 98

We could rewrite the expression such that the missing value equals x

2016 * 199 = 2016 * x + 2016 * 98

Using BODMAS:

401184 = 2016x + 197568

401184 - 197568 = 2016x

203616 = 2016x

Divide both sides by 2016

203616 / 2016 = 2016x / 2016

101 = x

Hence, missing value is 101

Answer:

x < -3

Step-by-step explanation:

The mean of the sampling distribution is still 810 grams, which is the same as the population mean. The standard deviation of the sampling distribution is 4 grams.

The mean of the sampling distribution for the average weight of a simple random sample can be considered an unbiased estimator of the population mean. In this case, since the population mean is 810 grams, the mean of the sampling distribution remains the same.

The standard deviation of the sampling distribution, on the other hand, is influenced by the sample size. The formula for the standard deviation of the sampling distribution of the sample mean is given by the population standard deviation divided by the square root of the sample size. In this case, the population standard deviation is 40 grams, and the sample size is 100. Therefore, the standard deviation of the sampling distribution is calculated as 40 grams divided by the square root of 100, which is 4 grams.

In summary, the mean of the sampling distribution for the average weight of simple random samples of 100 children born with ELBW is 810 grams, and the standard deviation is 4 grams.

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Answer:

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40

Step-by-step explanation:

El número total de páginas en el cuaderno = 40

Número de páginas utilizadas = 2/5 × 40 = 16 páginas

Número de páginas extraídas = 1/8 × 40 = 5 páginas

Número de páginas disponibles = 40 - 16 - 5 = 19 páginas

Fracción del total restante = 19/40

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.

Answer:

67/24

Step-by-step explanation:

Simplify the numerical expression.

2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3

2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3

(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]

= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]

=( 2/3 × 1/16 ) + [ 11/12 × 3]

= 1/24 + 11/4

= 67/24

The justification for the third step of the proof as given in the task content is; Reflexive property of ~; SSS.

The justification for the fourth step of the proof as required is; Symmetric Property of ~; SSS.

Recall that the; Reflexive Property as used in mathematical operations is such that: x = x. Therefore, the length of line segment ST and the length of line segment TS are equal and the segments are congruent.

Also, it follows from the task content that ∆RST ~ ∆UTS which means that both triangles are congruent by the Symmetric Property of SSS.

Ultimately, the justification for steps 3 and 4 are therefore, Reflexive Property of mathematical operations and the Symmetric property of SSS respectively.

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Answer:

29041

Step-by-step explanation:

1995-1990

300×5=1500

27541+1500=29041

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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Answer:

A plane is a two-dimensional surface that can contain points, rays, and lines, including parallel lines.

A plane can contain several lines which might be parallel to each other.

A plane is a flat surface on which a straight line joining any two points on it would wholly lie. It is usually represented in drawings by a four‐sided figure.

A plane is a flat, two-dimensional surface that extends indefinitely.

A line can be contained in a plane.

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Step 6 contains an error. Option C is correct

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

The incorrect step is;

\(\rm 1 + cos \theta = 2 sin^2\frac{\theta}{2}\)

The correct step is;

\(\rm 1 - cos \theta = 2 sin^2\frac{\theta}{2}\)

Because when you multiply the whole equation the cosΘ will be negative and in the given solution it is positive. Step 6 contains an error.

Hence, option C is correct

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if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.

The installment amount per month is $4,500, and the repayment term is 240 months.

Total repayment = Installment amount per month * Repayment term

Total repayment = $4,500 * 240

Total repayment = $1,080,000

Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.

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The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

Answer:

More sod is needed

Step-by-step explanation:

Well we know that 3/4 of a bag of sod covers 55 ft^2  then  if we divide 55 by 3 we get 18.3333 we take that and multiply by 4 to get 73.333 or the amount one bag of sod can cover

73.333*3 cuz 3 bags of sod is 220 ft^2  

She needs more sod

Answer:

-48

Step-by-step explanation:

We must find p′, q′ in order to calculate the confidence interval; the sample proportion is p′ = 0.842; This is the population proportion's point estimate. Since CL = 0.95 is the requested confidence level, = 1 – CL = 1 – 0.95 = 0.05 (2) (2) = 0.025.

For P, what is the confidence interval at 95 percent?

Since 95% of the area under the curve falls within this interval, the interval (-1.96, 1.96) serves as a 95% confidence interval for the standard normal distribution.

What is the 95 percent confidence interval for the population's proportion of smokers?

Standard Error for Proportion Calculating a 95% Confidence Interval for each group separately is another way to consider whether smokers and nonsmokers have significantly different proportions with wrinkles. For the smokers, we have a certainty time period ± 2(0.0394) or 0.63 ± 0.0788.

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To find the line segment C connecting the points (0, 0, 0) and (1, 2, 3), you can use the parametric equations for a line in 3D space. The general form of these equations is:

x = x0 + at
y = y0 + bt
z = z0 + ct

where (x0, y0, z0) is the initial point, (a, b, c) is the direction vector from the initial point to the final point, and t is the parameter that varies from 0 to 1.

For the given points (0, 0, 0) and (1, 2, 3), the direction vector is (1-0, 2-0, 3-0) = (1, 2, 3). So, the parametric equations for the line segment C are: x = 0 + 1t, y = 0 + 2t, z = 0 + 3t
or simply: x = t
y = 2t
z = 3t
with t ranging from 0 to 1.

Source: Stewart, James. Multivariable Calculus (p. 1124). Cengage Learning. Kindle Edition.

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The answer to your question is B.7/16.

The explanation for this is that 3/8 is in 16ths, 6/16, and 7/16 is greater than 6/16!

Hope this helps, if not, comment below please!!!

We can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

Given is to write a function that represents the arithmetic sequence.

       {a, a + d, a + 2d, a + 3d, .....}.

       {2, 4, 6, 8, 10, 12, ....}.

Therefore, we can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

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Answer:

Step-by-step explanation:

If there are five knights and they need to divide the guard duty equally for the 24 hours in a day, each knight would spend 24/5 = 4.8 hours on guard duty in one day.

However, since it's not possible to guard for a fraction of an hour, they would need to round that number to the nearest whole number. In this case, each knight would spend 5 hours per day on guard duty.

There are C(n,3) terms in this formula that are intersections of 3 sets.

What is combination?

The combination is outlined as “An arrangement of objects wherever the order within which the objects square measure chosen doesn't matter.” the mix means that “Selection of things”, wherever the order of things has no importance.

According to inclusion-exclusion principle :

Cardinatlity of a₁∪ a₂∪. ∪aₙ is the sum of the individual cardinalities minus the sum of the cardinalities of intersections of any two sets plus the sum of the cardinalities of intersections of any three sets minus the sum of the cardinalities of intersections of any four sets and so on , which means

n(a₁∪a₂∪a₃) = n(a₁) +n(a₂) + n(a₃) - n(a₁∩a₂) - n(a₂∩ a₃) - n(a₁∩ a₃) +                                                              n(a₁∩a₂∩a₃)

so in this example ,

intersections of 3 sets is 1 where n = 3

So correct option is C(n,3).

Hence correct option is A.

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Answer:

122 and 58

Step-by-step explanation:

Answer:

Emilio compra kg De manzanas a euros el kilo cuanto pagara por Las manzanas

Answer:

emilio compra de manzanas a euros el kilo cuanta pagara por las manzanas

Answer:

D 480 miles

Step-by-step explanation:

Distance = speed * time = 40*12 = 480 miles

Answer:

D. 480 miles

Step-by-step explanation:

Speed = 40mph

Time = 12 hours

Distance =?

\(distance = speed \times time \\ distance = 40 \times 12 \\ distance = 480 \: miles\)

The values of the terms are a₂ = 15, a₃ = 30 and a₄ = 45

The definition of the function is given as

a₁= 0

aₙ = aₙ₋₁ + 15

The above definitions imply that we simply add 15 to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₂ = 0 + 15

a₂ = 15

Also, we have

a₃ = 15 + 15

a₃ = 30

Lastly, we have

a₄ = 30 + 15

Evaluate the equation

a₄ = 45

Hence, the value of a₄ is 45

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The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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Answer:

y = 36

Step-by-step explanation:

For proving two parallel lines in a triangle, we will take the proportionality of their sides, such that

\(\frac{28}{14} = \frac{y}{18}\)

Cross- Multiplying

18 × 28 = y × 14

14y = 504

Dividing both sides by 14

y = 36

So, y = 36 would prove that Segment OP is parallel to segmant LN

Answer:

y = 36

Step-by-step explanation:

If OP were parallel to LN then OP divides the sides proportionally, thus

\(\frac{MP}{PN}\) = \(\frac{MO}{OL}\) , substitute values

\(\frac{y}{18}\) = \(\frac{28}{14}\) = 2 ( multiply both sides by 18 )

y = 36