describe what is measured by the estimated standard error in the bottom of the independent-measure t statistic.

a) Not possible to determine the percentage of the length of seashells collected by Jaya that were between 3.5 and 7 inches.

b) 25% of the length of seashells collected by Jaya were between 2 and 3.5 inches.

c) It is not possible to determine the percentage of the length of seashells collected by Jaya that were more than 5 inches based on the information provided.

d) The range of lengths of seashells collected by Jaya was = 4.2 inches.

In statistics, the range is the difference between the highest and lowest values for a particular data collection.

For instance, if the provided data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range may alternatively be defined as the difference between the highest and lowest observations.

a) It is not possible to determine the percentage of the length of seashells collected by Jaya that were between 3.5 and 7 inches based on the information provided.

b) 25% of the length of seashells collected by Jaya were between 2 and 3.5 inches.

c) It is not possible to determine the percentage of the length of seashells collected by Jaya that were more than 5 inches based on the information provided.

d) The range of lengths of seashells collected by Jaya was 6.2 - 2 = 4.2 inches.

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Answer:

The answer is the east region

Answer:

The height of the cliff is 408.1 m

Step-by-step explanation:

To find the height of the cliff given a stone is thrown downward from the top of a cliff at 24m/s and hits the ground 7 seconds later, use constant acceleration equations (SUVAT).

Constant Acceleration Equations (SUVAT)

[tex]\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}[/tex]

Note: When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

List the given variables, taking downwards as positive:

Select the SUVAT equation with s, u, a and t in it:

[tex]s=ut+\dfrac{1}{2}at^2[/tex]

[tex]\begin{aligned}\textsf{Substitute the values}: \quad s&=24(7)+\dfrac{1}{2}(9.8)(7)^2\\s&=168+240.1\\s&=408.1\; \sf m \end{aligned}[/tex]

Therefore, the height of the cliff is 408.1 m.

Answer:

Please type or attach a question that you need help with. Currently, all you have is the statement "I still don`t get it."

Answer:

2cm

convert 2 cm to mm

20 mm

After solving the equation we know that the resultant value of a is 14.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, we have the equation:

5a + 3-3a = 31

No, solve the equation as follows for 'a:

5a + 3-3a = 31

5a - 3a = 31 - 3

2a = 28

a = 28/2

a = 14

Therefore, after solving the equation we know that the resultant value of a is 14.

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Answer:

Below

Step-by-step explanation:

5x >= 15     first solve for 'x' by dividing both sides by 5

x >= 5       graph on the number line should be a solid dot at 5 (because it includes '5') and going off to the right....looks like you have it correct.

The product of the solutions of the algebraic equation is -80

An algebraic equation is any equation that contains unknown values, usually represented with alphabets or letter

(x-5)/9 = 5/(x+7)

(x-5)(x+7) = 5 * 9

(x-5)(x+7) = 45

x² - 5x + 7x - 35 = 45

x² + 2x - 35 = 45

x² + 2x - 35 -45 = 0

x² + 2x - 80 = 0

(x − 8)(x + 10) = 0

x−8=0 or x+10=0

x=8 or x=-10

Product of the solutions = 8 * (-10) = -80

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The number of tornadoes that occur in the United States each year is 1158

Let's call the number of tornadoes in the United States each year "x".

The number of tornadoes in Florida each year is 5.7% of this total

So we can write:

66 = x * 5.7%

Divide both sides by 5.7%

x = 66/5.7%

Evaluate

x = approximately 1158

So, approximately 1162 tornadoes occur in the United States each year.

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Answer:

Step-by-step explanation:

THE ANSWEAR IS 58.5 OR 117/2

Answer:

dteps

Step-by-step explanation:

answer

Answer:

I have graphed it and attached an image in the explanation.

Step-by-step explanation:

A straight duct extends in the z direction for a length L and has a square cross section, bordered by the lines x = plus minus B and y = plus minus B

z direction

f(x,y) = x² - y²         subject to   x² + y² = 1      g(x,y) = x² + y²- 1

δf(x,y)/ δx  = 2*x                                                 δg(x,y)/ δx  =    2*x                      

δf(x,y)/ δy  = - 2*y                                                 δg(x,y)/ δy  =    2*y

δf(x,y)/ δx  = λ* δg(x,y)/ δx

2*x = λ*2*x

δf(x,y)/ δy  = λ* δg(x,y)/ δy

- 2*y = λ*2*y

Then, solving

2*x = λ*2*x           x = λ*x      λ = 1

- 2*y = λ*2*y         y = - 1

x² + y²- 1 = 0         x²  + ( -1)² - 1 = 0      x = 0    

Point  P ( 0 ; -1 )  ; then at that point

f(x,y) = x² - y²             f(x,y) = 0 - ( -1)²     f(x,y) = - 1    minimum

b)  f( x, y ) =  3*x  + y            g ( x , y )  = x² +  y²  = 10

 δf(x,y)/ δx  = 3                   δg(x,y)/ δx  =  2*x

δf(x,y)/ δy   = 1                   δg(x,y)/ δy  =   2*y

δf(x,y)/ δx  =   λ * δg(x,y)/ δx      ⇒   3 = 2* λ *x    (1)

δf(x,y)/ δy   =  λ *  δg(x,y)/ δy     ⇒    1 = 2*λ * y    (2)

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The total distance D traveled by John is 255 miles.

The total distance D traveled by John is given by

D = 45 × 2 + 3 × 55 = 255 miles.

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John travelled 280 kilometres in the first distance and 250 kilometres in the second distance.

This question shows the case of John, who drove at constant speed his car on two roads. The travelled distance (s), in kilometers, is equal to the following formula:

s = v × t

Where:

v - Speed, in kilometers per hour.

t - Time, in hours.

The total time (T), in hours, is found by means of the following expression:

T = t₁ + t₂

T = x₁ / v₁ + x₂ / v₂

Where:

x₁ - Distance traveled in the first road

x₂ - Distance traveled in the second road.

v₁ - Speed taken in the first road.

v₂ - Speed taken in the second road.

T - Total time.

If we know that v₁ = 100 km / h, v₂ = 80 km / h, x₂ = 530 km - x₁ and T = 6 h, then the first distance is:

(530 - x₁) / 100 + x₁ / 80 = 6

[80 · (530 - x₁) + 100 · x₁] / 8000 = 6

42400 - 80 · x₁ + 100 · x₁ = 48000

20 · x₁ = 5600

x₁ = 280 km

And the second distance is:

x₂ = 530 km - 280 km

x₂ = 250 km

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By evaluatin a proportional relationship we will find the complete table:

grams:       11.4  |  22.8  | 68.4 | 114

packages:   1     |    2     |   6    |  10

We assume there is a proportional relation between the number of grams y and the number of packages x.

y = k*x

Using the second pair of the table (22.8, 2) we will get:

22.8 = k*2

22.8/2 = k

11.4 = k

So the proportional relation is:

y = 11.4*x

Now let's complete the table, when x = 1

y = 11.4*1 = 11.4

When x = 6

y = 11.4*6 = 68.4

when y = 114

114 = 11.4*x

114/11.4 = x

10 = x

Then the complete table is:

grams:       11.4  |  22.8  | 68.4 | 114

packages:   1     |    2     |   6    |  10

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Rounding to six decimal places, the estimated area is 0.719638.

The midpoint rule for estimating the area under a curve involves dividing the interval of integration into n subintervals and using the heights of rectangles with width equal to the subinterval width to approximate the area under the curve.

Let's divide the interval [0, 2] into 4 subintervals, each with width 0.5. Then the midpoints of the subintervals are: x1 = 0.25, x2 = 0.75, x3 = 1.25, x4 = 1.75

Using the midpoint rule, the estimated area is given by the sum of the areas of the rectangles:

A = 0.5 * f(0.25) + 0.5 * f(0.75) + 0.5 * f(1.25) + 0.5 * f(1.75) where f(x) = e^(-3x²).

Substituting the values of f(x) into the above expression and evaluating, we get:

A = 0.5 * e^(-3 * 0.25²) + 0.5 * e^(-3 * 0.75²) + 0.5 * e^(-3 * 1.25²) + 0.5 * e^(-3 * 1.75²)

= 0.5 * e^(-0.1875) + 0.5 * e^(-2.25) + 0.5 * e^(-3.9375) + 0.5 * e^(-6.0625)

= 0.5 * (1.208611495 + 0.102011764 + 0.024515807 + 0.000598427)

= 0.5 * (1.439275966)

= 0.719637983

Rounding to six decimal places, the estimated area is 0.719638.

Therefore, Rounding to six decimal places, the estimated area is 0.719638.

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Every vector spaces, iff:e→eis an idempotent linear map as E= Kcr(f) + Im(f)

What is Linear Map?

A linear map is a mapping in mathematics, more specifically in linear algebra. It is also known as a linear transformation, vector space homomorphism, or, in some cases, a linear function. that maintains the operations of vector addition and scalar multiplication between two vector spaces

Given that,

F : E → E is an idempotent linear map i.e FoF =F

F is an idempotent, then for any W in the image of F statistics

W = F(x)

for some x = E

Then F(w) = FoF(x)

F(x)=(W)----- (A)

So F is indeed a projection to Im(F) as a subspace of v

also , Kcr(F) + Im(F) =0

Because if x∈Kcr(f) + Im------(B)

then f(x) = 0 and

f(t)=x for some x∈E

FoF (t) = 0

f(t)=x

x=0

also from A we have

f(x)-w=0

f(x) -f(w)=0

f(x-w)=0

x-w=t

where t∈Kcr (F)

X = W+T

here x is arbitrary

E = Kcr + Im f ------(C)

From (B) and (C) we have E = Kcr(f) + Im (f)

Since E= Kcr(f) + Im, every vector space is an idempotent linear map (f)

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Answer:

The number of DVDs Raj lost can be calculated by:

24% of 225 DVDs = 0.24 * 225 DVDs = 54 DVDs

So Raj lost 54 DVDs during his move.

The total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.

The area is the total area occupied by a flat (2-D) surface or the form of an object.

Create a square on paper by using a pencil.

Two dimensions make it up.

A form's area on paper is the space it takes up.

So, given, a square metal frame encircles a circular mirror.

The mirror has a 4x radius.

The metal frame's side length is 12x.

According to the basic formula for the area of a circle and a square:

area of a circle = pi * radius * radius

Square Area = Side * Side

In the given situation:

Mirror's Area = pi * 4x * 4x = pi * 16x² = 50.24x

Squared mirror's Area = 12x * 12x = 144x²

The area of the metal frame is the sum of the areas of the squared and round mirrors.

Metal frame area =   144x² -  50.24x²

Metal frame size = 93.76x²

Therefore, the total area filled by a flat (2-D) surface or an object's form is referred to as the area and the required area of the metal frame is 93.76x² unit square.

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Correct question:

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 4x. The side length of the metal frame is 12x. What is the area of the metal​ frame?

Answer:

it's significant figure it have 4 significant figure

it have other value also percentage, rational and whole number

a. z= 0.80, b. z= -0.60, c. z= 1.40, The z-value is calculated by subtracting the population mean (μ) from the given x-value, and then dividing the result by the population standard deviation (σ).

The standardized z-value is used to measure the number of standard deviations away from the mean a given value lies. To calculate the z-value, we subtract the mean (μ) from the given x-value, and divide the result by the standard deviation (σ) of the population. For example, to calculate the z-value for x=325:

z= (325 - 300)/25 = 0.80

Similarly, for x=295:

z= (295 - 300)/25 = -0.60

And for x=350:

z= (350 - 300)/25 = 1.40

Therefore, the z-value for each of the x-values given is 0.80, -0.60 and 1.40 respectively.

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Simple interest formula-

Amount Received = Principle*[1 + Rate.(Time)]

A= 4000*[1+ 5 (6)]

A= 4000*(1+30)

A= 4000*31

A= $124000

Final Answer - $124000

The value of (x - y)(x - y), if xy = 3 and x² + y² = 25, is 19.

A binomial is an expression represented by the sum or a difference of two algebraic terms. Generally, we can express it as a+b. If we square this binomial, (a + b)², it can be expanded into a² + 2ab + b².

xy = 3

x² + y² = 25

Now,  (x - y)(x - y) = x² + y² -xy -xy

(x - y)(x - y) = x² + y² -2xy

Now put the values of x² + y² and xy

(x - y)(x - y) = 25 - 2 × 3

(x - y)(x - y) = 25 - 6

(x - y)(x - y) = 19

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Answer:

Coefficient: 45

Constant: 2

Hope this helped!

Step-by-step explanation:

The second linear equation will be linearly dependent to the first equation. The graphs of the two linear equation will be parallel to each other.

When two systems of linear equation is given and they do not have a solution that means the  first one is depended on the second one or the second equation is depended on the first set of equations.

The system of linear equations that does not posses a solution is called inconsistent form of linear equation where the multiples of the variables are multiples of each other but the constant is completely different.

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Answer:

Step-by-step explanation:

angle made in 20 min = 120 degree

area swept = (120 * 22 * 42 * 42)÷(360 * 7 * 10 * 10)

= 18.48 cm sq.

From these data, it is difficult to draw any meaningful conclusions about which waiters and waitresses earn larger tips.

The data only measure the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of the 50 restaurants during a 1-week period, which does not provide a large enough sample size to draw any meaningful conclusions. In order to draw more reliable conclusions, a larger, more comprehensive study should be conducted that measures the tips for multiple waiters and waitresses from each restaurant over a longer period of time.

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Answer: To calculate the compound interest and amount for a given principal, interest rate, and time period, we can use the formula:

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

where:

A = the final amount (principal + interest)

P = the principal (initial investment)

r = the annual interest rate (expressed as a decimal)

n = the number of times the interest is compounded per year

t = the number of years the investment is held

a. Principal = $5,900; Time = 2 years; Rate = 14%

n = 2 (since the interest is compounded half-yearly)

t = 2

r = 0.14

A = 5900(1+0.14/2)^(22)

A = 5900(1+0.07)^4

A = 59001.07^4

A = 5900*1.298844

A = 7,638.21

So the final amount, including interest, would be $7,638.21

b. Principal = $7,800; Time = 6 years; Rate = 18%

n = 2 (since the interest is compounded half-yearly)

t = 6

r = 0.18

A = 7800(1+0.18/2)^(26)

A = 7800(1+0.09)^12

A = 78001.09^12

A = 7800*2.05832

A = 16,093.32

So the final amount, including interest, would be $16,093.32

Please note that the above calculations are based on the compound interest formula and the assumption that the interest is compounded half-yearly, without taking into account any fees, taxes or any other associated cost.

Step-by-step explanation:

After examining the first 50 rows of their spreadsheet, the investor is doing a kind of sampling that is called convenience sampling.

Convenience sampling is a type of non-probabilistic sampling method where participants are selected based on their ease of access or availability.

Based on the given situation, the investor has chosen to examine the first 50 rows of the spreadsheet because it is convenient for her, rather than selecting a random sample of the 500 cases measured by the Small Business Administration.

However, convenience sampling can lead to bias and is not considered a rigorous method for estimating population parameters.

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The length of the ladder is given as 30.58 ft using Trigonometry.

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Distance is the measurement of an object's horizontal distance from a certain point, whereas height is the measurement of an object's height in the vertical direction.

Trigonometry includes heights and distances, and it has many uses in practical daily life. It is used to determine the distance between any two objects, including celestial bodies or other objects, as well as the height of towers, buildings, mountains, etc. Astronauts, surveyors, architects, and navigators are the main users.

The angle made by the ladder is 62°

Length of the ladder is x ft (say)

Height of the Electric Box is 27 ft

Now ,

sinθ = height of Electric box/ length of ladder

sin62° = 27/x

⇒x = 30.58 ft.

The length of the ladder is given as 30.58 ft using Trigonometry.

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