You anticipate that management would be comfortable with a probability of 0.500 when offering your estimate of the sample mean. Using σ = $80 and n = 64 as before, what dollar interval would you have to present in order to obtain a probability of 0.500?

The rounding up of all the numbers 36,892 81,055 7,908 126,388 to the nearest 10000, 1000 and 100 are as shown below.

To round up a number to the nearest 10000, what we do is to check the thousands digit to decide whether to round up or round down.

To round up a number to the nearest 1000, what we do is to check the hundreds digit to decide whether to round up or round down.

To round up a number to the nearest 100, what we do is to check the tens digit to decide whether to round up or round down.

1) 36,892 to the nearest 10000 is; 40000

81,055 to the nearest 10000 is; 80000

7,908 to the nearest 10000 is; 10000

126,388 to the nearest 10000 is; 130000

2) 36,892 to the nearest 1000 is; 37000

81,055 to the nearest 1000 is; 81000

7,908 to the nearest 1000 is; 10000

126,388 to the nearest 1000 is; 126000

3) 36,892 to the nearest 100 is; 36900

81,055 to the nearest 100 is; 81100

7,908 to the nearest 100 is; 7900

126,388 to the nearest 100 is; 126400

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Applying Side-side-side (SSS), the two-column proof that explains why ∠T ≅ ∠S is shown below.

The side-side-side (SSS) postulate states that two triangles that have all their three corresponding sides equal are definitely congruent triangles.

The two-column proof that shows that ∠T ≅ ∠S is explained below:

Statement                                  Reason                                                  

1. U is the midpoint of ST          1. Given

2. RT ≅ RS                                 2. Given

3. TU ≅ SU                                3. Definition of a midpoint

4. UR ≅ UR                                4. Reflexive property

5. ΔTUR ≅ ΔSUR                      5. Side-side-side (SSS)

6. ∠T ≅ ∠S                                6. CPCTC

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Answer:

[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]

Step-by-step explanation:

Midpoint

The point that is halfway between the endpoints of the line segment.

Reflexive Property

For every number a:

Side-Side-Side (SSS) Congruence Theorem

If all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are congruent.

Corresponding parts of congruent triangles are congruent (CPCTC)

If two or more triangles are congruent, their corresponding angles and sides are congruent.

[tex]\large\begin{array}{|l|l|}\cline{1-2}\sf Statement&\sf Reason\\\cline{1-2}1.\;\textsf{$U$ is the midpoint of $ST$}&1.\;\sf Given\\\cline{1-2}2.\;RT \cong RS&2.\; \sf Given\\\cline{1-2}3.\;TU \cong SU & 3.\; \sf De\:\!finition\;of\;a\;midpoint\\\cline{1-2}4.\;UR=UR&4.\;\sf Reflexive\;property\\\cline{1-2}5.\; \triangle TUR \cong \triangle SUR&5.\;\sf Side-Side-Side\;(SSS)\\\cline{1-2}6.\;\angle T \cong \angle S&6.\;\sf CPCTC\\\cline{1-2}\end{array}[/tex]

The scenario with the greater speed is scenario 1, then the correct option is C

"Scenario 1 because the slope is 60"

Remember that speed is defined by:

distance = speed*time

On scenario 2 we have the linear equation:

y = 50*x

Where y is distance and x is the time in hours, so the speed is 50 miles per hour.

If we look at the graph, we can see a proportional relationship also of the form y = k*x

Where the slope k is the speed.

The first graphed point is (1, 60), then:

60 = k*1

60/1 = k

So here the speed is 60 miles per hour.

Then the correct option is C, the speed in scenario 1 is greater.

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Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Expressing 675dam is 675000cm

A centimeter (American spelling centimeter, symbol cm) is a unit of length that is equal to one hundredth of a meter, the current SI base unit of length. A centimeter is part of a metric system.

A decameter (American spelling: dekameter, symbol: dam) is a measurement of distance equal to ten meters. This measure is included mostly for completeness

0.001. dam in 1 cm

Formula:

dam x 1,000 = cm

675 dam x 1,000 = 675,000 cm

Therefore, 675 dam is equal to 675000cm

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The average amount of time spent studying among graduate students at this​ student's school is between 17.3 and 22.5 hours per week. which is the correct interpretation would be option (A).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.

A graduate student wanted to determine the average time spent studying between many graduate students at her school. She took a random sample of graduate students from her school and obtained an hour per week.

In the context of the problem,

We are​ 99% sure that the average amount of time spent studying among graduate students at this​ student's school is between 17.3 and 22.5 hours per week.

Therefore, the correct interpretation would be option (A).

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Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

Answer:

4

Step-by-step explanation:

-3 + 8 + 9 + (-7) + 13 = 20

20/5 = 4

The percentage she spends on books from her total edducational expenses is 0.17

What is Percentage?

A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

Solution:

Assuming there are only these two expenses on education,

the total expenses are 1100 + 225 = $1325

amount the student pays on books = $225

Percentage = (225/1325) * 100

Percentage = 16.98% = 17% (approx)

So, the final answer is 0.17

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Answer:

Below

Step-by-step explanation:

A parbola with zeroes at 0 and 598 would look like this:

  f(x) = a ( x-0)(x-598)      at the midpoint 299   the value is 625

   625 = a (299) (299-598)      shows a = - 625/89401

-625/89401 (x)(x-598)   <======expand as necessary

It is TRUE to state that w/ a discount factor less than 1, value iteration is guaranteed to converge.

The discount factor ranges from 0 to 1. To represent the importance of a reward R that happens N steps in the future from the current state, multiply it by γⁿ. Consider γ= 0.9 and a reward R = 10 that is three steps ahead of our current condition.

Hence, it is correct to indicate that value iteration is assured to converge if the discount factor 0 < γ < 1.

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Full Question:

For an infinite horizon MDP w/ a finite # of states and actions and w/ a discount factor γ that satisfies 0 < γ < 1, value iteration is guaranteed to converge.

a. true

b. false

The number of people surveyed in the bar graph is 34

The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph.

The number of people surveyed is calculated by adding up the frequencies of each bar

The frequency shows the number of people using cell phones starting from zero cell phone user which is 1 to 6 cell phone users which is 5

The calculation

1 + 5 + 6 + 8 + 9 + 5 = 34

Hence the number people surveyed is gotten to be 34

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The following gives the variations:

m= -4p -----------> direct variation

r=9/t----------->indirect variation

n=(1/2)f----------->direct variation

u=2/z----------->indirect variation

The value of y when x=2 is -14

What are direct and indirect variations ?

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

m= -4p -----------> direct variation

r=9/t----------->indirect variation

n=(1/2)f----------->direct variation

u=2/z----------->indirect variation

General equation for an indirect variation:

y = k/x

substitute y=7 and x= -4

7=k/-4

k=7*-4 = -28

To find y when x=2:

Substitute x=2 and k=-28 into the equation

y=-28/2 = -14

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Step-by-step explanation:

ok hope it will help you thanks for watching hope it will happen

Answer:

X=-36

Y=-7

Step-by-step explanation:

If 5y-1=x

then you can substitute x into the first equation

x-4y=-8

as we know x=5y-1 then

(5y-1)-4y=-8 is true

5y-4y is just y

so we are left with y-1=-8

add 1 to both sides

y=-7

substitute this into other equation

5(-7)-1=X

-35-1=X

X=-36

The perimeter of the original square is 36 ft.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Let the side of square is x,

When one side is increased by 5 ft, the side = 5+x,

And other side is decreased by 3 ft, the side = x-3.

Also given that, the area of rectangle = 84 square ft

The area of rectangle = length×width

84  = (5+x)×(x-3)

By solving the equation, the value of x is 9,

Therefore, the side of the square is 9 ft

Perimeter of the square = 4x = 4×9 = 36 ft

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The interest rate is 6%.

What is an interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here,

It is given the initial amount was $1100 and after 51  days, it was worth $1110.44.

The interest can be calculated as follows:

Interest = $1110.44 - $1100

= $ 10.44

Now, we find the simple interest

I = PRT

I =  10.44

P =  $1100

T = 51 days

R =?

We put the given value in the formula and get

10.44 = (1100 ×51 ×R)/360

R = 0.066 × 100%

R = 6%

Hence, the interest rate is 6%.

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For the first 3 images.

a) The linear equation is the  one in option A:

y = x

b) The linear equation is the one in option B:

y = (1/2)*x + 3

c) The correct option is C, the slope of scenario 1 is 60

A general linear equation is:

y = a*x + b

So we have a polynomial of degree 1, this means that there can be at most two terms, one that depends of x, and other that is a constant.

From the first list the only linear equation is y = x.

none of the others depend linearly with x.

From the second list the only option that is a linear equation is B.

y = (1/2)*x + 3

Where you can see two terms, the first one depends linearly of x and the second one is a constant.

For the third image.

If you evaluate the equation for scenario 2 in x = 1, you get:

y = 50*1 = 50

So in one hour, you travel 50 miles.

While on scenario 1, on one hour you travel 60 miles.

Then the speed is greater on scenario 1, where the slope is 60, so the correct option is C.

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The human brain has approx 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.

The places of contact within neurons are known as synapses which is where data is transferred from one cell to the next.

As we know, from the definition of synapses, synapses which is where data is transferred from one cell to the next.

Also, the human brain has approximately 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.

Thus, the human brain has approx 100 billion neurons on average and many more neuroglia that nourish and protect the neurons.

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Answer:

c = 15

Step-by-step explanation:

P = 36; a = 11; b = 10

P = a + b + c

36 = 11 + 10 + c

36 = 21 + c

Subtract 21 from both sides.

15 = c

c = 15

The options that are partial products for 43 × 17 include:

B. 21

E. 400

We want to find the partial products of 43 x 17

Since 43 = 40 + 3

and 17 = 10 + 7

Then

43 x 17 = (40 + 3) x (10 + 7)

We find all the partial products by multiplying one term of the first addition with one term of the second:

43 x 17 = (40 + 3) x (10 + 7)

= (40 x 10) + (40 x 7) + (3 x 10) + (3 x 7)

= 400 + 280 + 30 + 21

The options are B and E.

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where is the example? What are the binomials?- or do we use any three?

Answer: Protein receptors - B)

Step-by-step explanation:

Once hormones find a target cell, they bind with specific protein receptors inside or on the surface of the cell and specifically change the cell's activities.

Miguel has a higher unit rate of change than Donna because 53mph is greater than 48mph.

The unit rate is used to show the relationship between the variables illustrated. Since Miguel drove for 8 hours at a constant rate and drove a total of 424 miles. The rate will be:

= 424 / 8

= 53 miles per hour.

The unit rate for Donna will be:

Miles / Time

= 144 / 3

= 48 miles per hour.

Therefore, Miguel has a higher rate.

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Answer:

  A. The number of pages in the assignment

Step-by-step explanation:

You want to know which of several possibilities the amount of time it takes to complete a reading assignment might be a function of: pages, cost, age of the book.

We expect that an assignment to read more pages will result in a longer completion time. While there might be different completion times for the same number of pages in different assignments (relation not a function), the relation might be a function for assignments in the same book.

There are many factors affecting the cost of a book, including the materials it is made of, the number of printed copies, the difficulty of providing the necessary typesetting and illustrations. These factors may also affect the time it takes to read an assignment. In general, we don't expect that a given number of pages in a book costing $20 will take longer to read than in a book costing $10 or $50. That is, we don't expect completion time to be a function of the cost of the book.

As with book cost, the year of publication may also have a relationship with readability. Older books may use different language, unfamiliar terminology, more (or less) complex illustrations, different typography. These may have a bearing on the time it takes to complete a reading assignment. However, if the same material is presented in the same way in a book published in 1900 versus 2000, we don't expect the assignment completion time to change.

The time it takes to complete a reading assignment is most likely to be a function of the number of pages in the assignment (other factors being equal).

The statement that correctly represents the distance between points E and F is

The distance between points measured as d between two points in the x y z coordinate system is given by

d = √{(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²}

From the graph point E = (0, 0, 5) and F = (0, 6, 5)

comparing the points to (x, y, x), the points are substituted and it written as

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Answer:

the answer is the second

Step-by-step explanation:

I took the quiz

Answer:

£52 was the original price

Step-by-step explanation: