pls help me with this question fast.

To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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Answer:

201.06

Step-by-step explanation:

Answer:

201.06

Step-by-step explanation:

Answer:

a= 2.9cm

Step-by-step explanation:

area =25 so 17a=50

50/17=2.941176...

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

According to the given image, the given function is increasing at (C) x > 2.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The relationship between the input or domain and the output or range is known as the function rule.

If and only if there is a single value in the range for each domain value, a relation is a function.

A function is denoted by the notation f x, where x is the input value.

A function has the general form y = f x.

So, let's consider the given image:

The function is increased from the point +2 on the x-axis.

Which can be the point x > 2.

Therefore, according to the given image, the given function is increasing at (C) x > 2.

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Complete question:
Where is the function increasing?

a. The function increases when x > 0

b. The function increases when x > 1

c. The function increases when x > 2

d. The function increases when x > -3

The reason for statement (3) ∠1 ≅ ∠5 and ∠3 ≅ ∠6 is alternate interior angles.    

From the following attached diagram.

ABC is a triangle with line y is parallel to line z.

We can observe that side AC of triangle ABC is a transversal.

Here ∠1 and ∠5 are alternate interior angles.

⇒ ∠1 ≅ ∠5

Similarly, side AB of triangle ABC is a transversal.

Here ∠3 and ∠6 are alternate interior angles.

⇒  ∠3 ≅ ∠6

So, ∠1 = ∠5 and   ∠3 = ∠6         ............(from definition of congruence)

m∠1 + m∠2 + m∠3 = m∠LAM     ........(angle addition postulate)

m∠1 + m∠2 + m∠3 = 180°    ........(definition of straight angle)

m∠5 + m∠2 + m∠6 = 180°    ........(substitution)

Therefore, the two column proof is presented as follows:

      Statement                                            Reason

1. ABC is a triangle                                      Given

2. lines y and z are parallel                         Given

3. ∠1 ≅ ∠5 and ∠3 ≅ ∠6                        alternate interior angles.

4. m∠1 = m∠5; m∠3 = m∠6                  By definition of congruency

5. m∠1 + m∠2 + m∠3 = m∠LAM          By angle addition Postulate

6. m∠1 + m∠2 + m∠3 = 180°                Angles on a straight line

7. m∠5 + m∠2 + m∠6 = 180°                 Substitution (property)

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Find the complete question below.

Given: Lines y and z are parallel, and ABC forms a triangle. Prove: m∠5 + m∠2 + m∠6 = 180° Statements Reasons 1. ABC is a triangle 1. given 2. y ∥ z 2. given 3. ∠1 ≅ ∠5; ∠3 ≅ ∠6 3. ? 4. m∠1 = m∠5; m∠3 = m∠6 4. def. ≅ 5. m∠1 + m∠2 + m∠3 = m∠LAM 5. ∠ addition postulate 6. m∠1 + m∠2 + m∠3 = 180° 6. def. straight angle 7. m∠5 + m∠2 + m∠6 = 180° 7. substitution Which could be the missing reason in Step 3? alternate interior angles are congruent alternate exterior angles are congruent vertical angles are congruent corresponding angles are congruent

Answer: A. Mean = 9.56, Median = 11, Mode = 7

Step-by-step explanation:

The mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

Given data below:

In order to find the mean, it can be calculated by dividing a sum of all the data points with the number of data points in the data set.

The formula is:

\(\bar{M}=\dfrac{\sum M}{N}\)

\(\bar{M}=\dfrac{4+6+7+7+9+11+13+14+15}{9}\)

\(\bar{M}=\dfrac{86}{9}\)

\(\bar{M}=9.56\)

Next, we will find the median.

In order to find the median, we got to place the numbers in value order and find the middle.

So,

\(\text{Median}=9\)

Lastly, we will find the mode.

To find the mode, order the numbers lowest to highest and see which number appears the most often.

So,

\(\text{Mode}=7\)

Thus, the mean, median and the mode for the given data is 9.56, 9, and 7 respectively.

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Answer:

1. \(5*y + 5*2 + 4\)

2. \(5*y + 10 + 4\)  

3. \(5y + 14\)

Step-by-step explanation:

Given

\(5(y + 2) + 4\)

Required

Write an equivalent expression

\(5(y + 2) + 4\)

Start by opening the bracket.

\(5(y + 2) + 4 = 5 * y + 5 * 2 + 4\)

\(5(y + 2) + 4 = 5 y + 10 + 4\)

Add like terms (10 and 4)

\(5(y + 2) + 4 = 5 y + 14\)

Hence, equivalent expressions of \(5(y + 2) + 4\) are:

1. \(5*y + 5*2 + 4\)

2. \(5*y + 10 + 4\)  

3. \(5y + 14\)

The equation cannot be solve using substitution

From the question, we have the following parameters that can be used in our computation:

-5(-2)x−4y=−10

The above equation is a lone equation

For an equation to be solved using substitution, there must be at least two equations

Hence, the equation has no solution

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Answer:

30

I hope this helps!

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

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The recursive formula for the given sequence is a(n) = 2 a(n-1) - a(n-2) + 1

A recursive formula is an equation that express the nth term as a function of preceding term(s), i.e. as function of (n-1)th term, (n-2)th terms, and so on. Mathematically it can be written as:

a(n) = f(a(n-1), a(n-2), ..., a(1))

The given sequence: 1,3,6,10, . . .

Here a(1) = 1. Notice that:

a(2) = 3 = 1 + 2

a(3) = 6 = 3 + 3

a(4) = 10 = 6 + 4

Notice that the differences between terms increase by 1.

Further, we can write:

a(2) = 3 = 1 + (1 - 0) + 1

             = a(1) + a(1) + 1

             = 2a(1) + 1  

a(3) = 6 = 3 + (3 -1) + 1

             = a(2) + a(2) - a(1) + 1

             = 2a(2) - a(1) + 1

a(4) = 10 = 6 + (6 - 3) + 1

               = a(3) + a(3) - a(2) + 1

               = 2 a(3) - a(2) + 1

We can continue this recursive pattern to find a(n),

a(n) = 2 a(n-1) - a(n-2) + 1

We can find next term for n = 5:

a(5) = 2a(4) - a(3) + 1

       = 2. 10 - 6 + 1 = 15

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I don't have a lot of info to go off of to properly solve the question, however I think I may be able to help. If you are trying to solve using the Quadratic Formula:

_______________________________________________________

Solve the rational equation by combining expressions and isolating the variable c.

\(c=\sqrt{(1+s)(1-s)\)

\(c=-\sqrt{(1+s)(1-s)}\)

If this is not what you are looking for, please comment below on what you really need and I'll see what else I can do to help. Thanks!

Answer 870.15

Step-by-step explanation:

Answer:

43.98

Step-by-step explanation:

did some quick maths

c=2

\(c = 2 \times \pi \times r\)

Answer:

$2250

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.75%/100 = 0.0275 per year,

then, solving our equation

I = 2250 × 0.0275 × 8 = 495

I = $ 495.00

The simple interest accumulated

on a principal of $ 2,250.00

at a rate of 2.75% per year

for 8 years is $ 495.00.

In order to convert centimeters (cm) into inches, we can use the conversion factor of 1 inch = 2.54 cm. So, 100 cm is equal to 39.37 inches.

To convert 100 cm into inches, we can use this conversion factor by dividing the number of centimeters by 2.54.

100 cm ÷ 2.54 = 39.37 inches

So, 100 cm is equal to 39.37 inches.

It's important to note that this conversion factor is based on the international standard for length measurements, known as the International System of Units (SI). This system is widely used around the world, but it's important to be aware that some countries may use different units of measurement.

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Answer:

12.56$

Step-by-step explanation:

12 / 3=4

4 × 3.14 = 12.56

The inequality is 2 ≤ a ≤ 3.

What is inequality ?

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality. The equal sign is substituted between by the less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign. It's not always necessary to balance an equation in mathematics by using the "equal to" symbol on both sides. When something is more than or less than another, it can sometimes be said that the two are not equal.

-2 ≤4-3a ≤ 13

-2 -4≤-3a ≤ 13-4

-6 ≤-3a ≤ 9

-6/3 ≤-a ≤ 9/3

2 ≤ a ≤ 3

Hence the inequality will be 2 ≤ a ≤ 3.

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The response variable is the birth weight and the predictor variable is the mother's age.

The reason for this is that the goal is to understand how mother's age affects birth weight, rather than how birth weight affects mother's age. The predictor variable (mother's age) is the variable that is being used to explain or predict the response variable (birth weight).

In other words, we want to determine whether there is a relationship between mother's age and birth weight, and if so, what that relationship looks like. Therefore, mother's age is the independent variable or predictor, and birth weight is the dependent variable or response.

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\(\text{You would use the distributive property to get your answer} \\\\\text{This means that you would distribute the 5 to the numbers inside the}\\\text{parenthesis}\\\\\text{When you distribute, you would multiply}\\\\\text{Distribute:}\\\\5(6-1)\\\\5(6)-5(1)\\\\30-5\\\\\text{You would see that this is equal to answer choice C, therefore making}\\\text{C your answer}\\\\\boxed{\text{C). 30 - 5}}\)

Answer:

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

Step-by-step explanation:

Since the stew is composed of shrimps and potatoes, then the sum of the weighs of these ingredients must be equal to the weigh of the stew, so we have:

\(shrimp + potato = 5\)

We also know that he bought three times more potatoes than shrimps, therefore:

\(potato = 3*shrimp\)

Using the second equation on the first one, we have:

\(shrimp + 3*shrimp = 5\\4*shrimp = 5\\shrimp = \frac{5}{4} = 1.25\)

\(potato = 3*shrimp = 3*1.25 = 3.75\)

He bough 1.25 lbs of shrimp and 3.75 lbs of potato.

Answer

There is a contradiction in the question.  We are told there is only 20 feet of fencing, but the short side is to be 72 feet.  I will answer using the assumption that the 20 feet was supposed to be 200 feet.

The remaining side would be 28 feet.

Step-by-step explanation:

The perimeter of the fence can be no larger than the available fencing, 200 ft.  Will will assume all of the fencing is to be used.

Let L and W stand for the feet of fencing for the Length and Width, respectively.

Perimeter = 2L + 2W

Let L be the short side:  

  L = 72 feet

200 ft= 2(72 feet) + 2W

200 feet = 144 feet + 2W

2W = 56 feet

W = 28 feet

Answer:

  6.5 feet

Step-by-step explanation:

You want to know the length of the other side of a rectangular fence if the perimeter is 20 feet and one side is 7/2 feet.

The formula for the perimeter of a rectangle is ...

  P = 2(L +W)

Filling in the given values, we can find the missing length:

  20 = 2(L +7/2) . . . . use the given values

  10 = L +7/2 . . . . . . divide by 2

  13/2 = L = 6.5 . . . . subtract 7/2

The long side will be 6.5 feet.

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Part A: The side length of triangle EF = 10.35.

Part B: ∠E = 78

Sine rule :

e/sinE = f/sinF = d/sinD

Where D, E, and F are the angles and d,e and f are the angles' opposing sides.

Put the values:

DF/sinE = 11.7/sin55 = EF/sin47

Part A: EF = ?

11.7/sin55 = EF/sin47

EF = 11.7 * sin47 / sin55

EF = 10.35

Part B: ∠E = ?

Using angle sum property of triangles.

∠E + ∠D + ∠F = 180

∠E + 47 + 55 = 180

∠E = 78

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Answer:

14. -21 over 5, 1 over 4

Step-by-step explanation:

PQ: perform the slope formula: y2-y1 divided by x2-x1

-3 - 17 divided by 1 - (-4) = -21 divided by 5

RS: 4 - 3 divided by -5 - (-9) = 1 divided by 4

The distance between the school and the library is less. Then the library is closer to school.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

On one map of a town, the scale from the town to the map is 12mi:3cm.

The school is 2.5cm from the grocery store on this map.

Then the distance between the school and the grocery store will be

⇒ (12 / 3) x 2.5

⇒ 10 miles

On a different map of the same town, the scale from the town to the make is 12mi: 2cm.

The school is 1.5cm from the library on that map.

Then the distance between the school and the library will be

⇒ (12 / 2) x 1.5

⇒ 9 miles

Thus, the distance between the school and the library is less.

Then the library is closer to school.

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Step-by-step explanation:

13.8564064606

hope it helps

Answer

(x2−2–√)2=2(x2−2)2=2

x2−2–√=±2–√x2−2=±2

x2=2–√±2–√x2=2±2

x2=0x2=0 or 22–√22

x=0x=0 or ±22–√−−−−√±22

x=0,±8−−√4x=0,±84

Step-by-step explanation:

hope it helps

Yes, it is possible.

To determine if there is a way to choose some of the n items to make the total weight exactly equal to w, you can use the following step-by-step approach:

1. List the weights of each of the n items.
2. Create a table with columns representing the weights from 0 to w, and rows representing the items from 0 to n.
3. Initialize the first row (representing item 0) with "True" for weight 0 and "False" for all other weights.
4. Loop through each item (i) from 1 to n:
  a. Loop through each possible weight (j) from 0 to w:
     i. If the item's weight is less than or equal to the current weight (j), check if the remaining weight (j minus the item's weight) can be obtained using the previous items (row i-1). If yes, mark the current cell as "True".
     ii. If the current item's weight is greater than the current weight (j) or the remaining weight can't be obtained using the previous items, copy the value from the cell above (row i-1) in the table.
5. Check the last cell in the table (cell [n][w]). If it is marked "True", it is possible to choose some of the n items to make the total weight exactly equal to w. If it's "False", it's not possible.

This approach uses dynamic programming to efficiently solve the problem. If the last cell in the table is "True", you can backtrack through the table to find the exact items that contribute to the total weight of w.

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