2. Fill out the table to find the standard deviation of the elephant ages. Check your calculations by finding
the standard deviation on a graphing calculator
925
14
19
858825
26
33
36
-14
-8
14
19
Sum=(x-x²=¸
196
64
196
361
28

Answer:

Step-by-step explanation:

find the semiperiter (1/2 perimeter or L+W)

80 : 2 = 40

now we know that 4z + 2 + 3z + 3 = 40

we solve for z with an equation

4z + 2 + 3z + 3 = 40

7z = 40 - 2 - 3

7z = 35

z = 35 : 7

z = 5

now we find CD

3z + 3 =      (z=5)

3 * 5 + 3 =

15 + 3 =

18

-------------------------------

check (remember pemdas)

4z + 2 + 3z + 3 = 40

4*5+2+3*5+3 = 40

20+2+15+3=40

40 = 40

the answer is good

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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The center height of the semi-elliptical arch of a bridge with a span of 120 feet and a height of 10 feet at a distance of 10 feet from the center is estimated to be around 10.534 feet.

Let's denote the height of the arch at the center as h. We can use the equation of a semi-elliptical arch to solve for h.

The equation of a semi-elliptical arch is given by:

y = a√(1 - x²/b²)

where:

We are given that the span of the arch is 120 feet, so b = 60. We are also given that the height of the arch at a distance of 10 feet from the center is 10 feet, so we can plug in x = 10 and y = 10 to get:

10 = a√(1 - 10²/60²)

Simplifying, we get:

Therefore, the height of the arch at its center is approximately 10.534 feet.

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Answer:

will or will not

Step-by-step explanation:

The inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

The general equation of a straight line is -

[y] > [m]x + [c]

[y] < [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Strict inequalities are those inequalities which use either > or < to compare expressions. Example : 2x + 4 > 5

Slack inequalities are those inequalities which use either ≤ or ≥ to compare expressions. Example : 2x + 4 ≥ 5

We have Cynthia’s mom who gave her $20.00 to spend at her friend’s birthday party on Friday night.

Assume that a single game costs $x. Then, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is-

gx ≤ 20

Therefore, the inequality that represents the number of games [g] Cynthia can bowl to remain within her budget is -

gx ≤ 20

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\( - 3x( {x}^{2} ) \: + \: - 3(7x) \: - \: - 3x( - \frac{1}{3} ) \\ = { - 3x}^{3} \: + \: - 21x \: - \: \frac{3}{ 3} \\ \bf{= {- 3x}^{3} \: + \: - 21x \: - \: 1}\)

The value of the objective function when X1 = 20 and X2 = 30 is 120.

Linear programming (LP) is a method used to optimize (maximize or minimize) a linear objective function subject to a set of linear constraints.

The objective function is the equation that describes the quantity that needs to be optimized, and it is usually expressed in terms of the decision variables.

In this problem,

The objective function for the LP model is given as 3X1 + 2X2 where X1 and X2 are the decision variables.

This means that we are trying to maximize the quantity 3X1 + 2X2 subject to the constraints of the LP problem.

The question asks us to find the value of the objective function when X1 = 20 and X2 = 30.

To do this, we simply substitute these values into the objective function and evaluate it.

3(20) + 2(30) = 60 + 60 = 120

This means that if we choose X1 = 20 and X2 = 30 we will achieve the maximum value of the objective function.

In LP problems, the objective function is the primary focus of the optimization process and the goal is to find the set of values for the decision variables that will maximize or minimize this function while satisfying the constraints.

The value of the objective function provides a measure of the performance of the system or process being modeled and it can be used to make informed decisions about resource allocation, production planning or other management decisions.

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Answer:

x=-4 or x=9

Step-by-step explanation:

Either factor can be 0 for the result to be 0.

Hence you can solve x+4=0 or x-9=0 with above answers.

Answer:

x(square) - 5x -36 = 0

sorry if its wrong

Answer:

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

In the box plot, the following rules apply:

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

The right whisker extends from 26 to 28.

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Box plot has boxes with some lines ( called whiskers ).

Box plot on the graphical level tells about 5 points:

There is starting whisker or left whisker denoting point minimum (Q0) and extends from there the line to Q1 ( first quartile).

Then the box starts which starts from Q1 and touched Q3. In the middle it passes through Q2 ( The median of the data ), and thus has a line in it.

At last, there is end whisker or right whisker denoting end quantile or Q4 (the maximum point).

Given data:

Left whisker extends from 16 to 18.

     Thus Q0 = 16

              Q1 = 18

Box plot starts from 18 and extends to 26, and is split by a vertical line segment at 22.

    Thus Q2 = 22

             Q3 = 26

The right whisker or end whisker extends from 26 to 28

    Thus Q4 = 28.

Thus the description of data is given as:

\(Q_0 = Minimum = 16\\Q_1 = First\: quartile = 18\\Q_2 = Second \:quartile = Median= 22\\Q_3 = Third\: quartile = 26\\Q_4 = Maximum = 28\\\)

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Answer:

20

Step-by-step explanation:

The question says

9 pushup is equal to 45percent of a set.

So we are required to find number of pushups for a whole set

To solve this we will have to do cross multiplication

9 pushup = 0.45

Unknown = 1

When we cross multiply we will have 9x1/0.45 to get the unknown

= 9/0.45

= 20 pushups in a whole set

Use (a^n)^m= A^(mn)

so (6^3)^8(6^6)= 6^(3*8*(6^6))= 6^(24*(6^6))= 6^(24*46656)=6^1119744

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

\(Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714\)

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

If Carla Corporation issued 1,900 shares of $10 par value common stock in exchange for the conversion of 950 shares of $50 convertible preferred stock, we can calculate the impact on the financial statements as follows:

Calculation of the Total Par Value of the Common Stock Issued:

The total par value of the common stock issued is equal to the number of shares issued multiplied by the par value per share. In this case, 1,900 shares were issued with a par value of $10 per share, so the total par value of the common stock issued is:

Total Par Value = 1,900 shares x $10/share = $19,000

Calculation of the Conversion Ratio:

The conversion ratio is the number of shares of common stock that can be obtained from one share of preferred stock. In this case, 950 shares of $50 convertible preferred stock were converted into 1,900 shares of common stock, so the conversion ratio is:

Conversion Ratio = 1,900 shares / 950 shares = 2:1

This means that for every share of preferred stock, the holder can receive two shares of common stock.

Calculation of the Value of the Preferred Stock Converted:

To determine the value of the preferred stock that was converted, we need to multiply the number of shares converted by the conversion price. The conversion price is the price at which the preferred stock can be converted into common stock. In this case, the conversion price is not given, so it is not possible to calculate the value of the preferred stock converted.

Impact on the Financial Statements:

The issuance of the 1,900 shares of common stock will increase the equity section of the balance sheet. The total par value of the common stock issued ($19,000) will be recorded as an increase in the common stock account, which is a component of the stockholders' equity section of the balance sheet.

If the preferred stock had any accumulated dividends or other preferences, these would need to be taken into account in the conversion process. Additionally, any difference between the fair value of the preferred stock and the par value of the common stock issued would need to be recorded as an adjustment to the additional paid-in capital account.

Without more information about the conversion price and any other terms of the conversion, it is not possible to provide a more specific analysis of the impact on the financial statements of Carla Corporation.

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Answer:x − x^{2} − 1.

Step-by-step explanation:

.

The distribution has a 90th percentile for the value of 86.45 of x.

Let the normal distribution be X.

Hence according to the problem,

X ~ N(80, 25)

where,

the mean = μ = 80

the variance = σ² = 5² = 25

To find the 90th percentile we need to find a variable whose CDF is equal to 90% or 0.9

Let the variable be x.

Then

P(X < x) = 0.9

Now to find this we will first transform this to the standard normal form Z.

Any distribution can be brought to the standard normal form by,

Z = (X - μ)/σ

where

μ is the mean of the distribution

σ is the standard deviation of the distribution

Here,

μ = 80

σ = 5

Hence we get,

Φ[(x - 80)/5] = 0.9

From the standard normal table we get that for Φ(1.29) the p-value is approximately 0.9

hence we get

Φ[(x - 80)/5] = Φ(1.29)

or, (x - 80)/5 = 1.29

or, x - 80 = 6.45

or, x = 86.45

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If the staysail is 10.5 feet and height is 30 feet then the area of the staysail is 157.5 feet²

To find the area of the staysail, we can use the formula for the area of a triangle:

Area of triangle = 1/2 x base x height

In this case, the base of the staysail is given as 10.5 feet and the height is given as 30 feet.

Substituting these values into the formula, we get:

Area of staysail = 1/2 x 10.5 feet x 30 feet

Simplifying the expression, we get:

Area of staysail = 0.5 x 10.5 feet x 30 feet

Area of staysail = 157.5 square feet

Therefore, the area of the staysail is 157.5 square feet. This means that if the staysail were to be laid flat, it would cover an area of 157.5 square feet.

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Answer:

5

Step-by-step explanation:

Its where it crosses the y-axis

Answer:

3.5kg

Step-by-step explanation:

Let original weight  of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y  (weight in box = 2 times weight in basket)   --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5  --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

Answer:

C≈81.68

d Diameter

26

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·26≈81.68141

Step-by-step explanation:

Hope it is helpful.....

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

Answer:

75%

Step-by-step explanation:

Answer:

A... 25%

Step-by-step explanation:

75/300 = 1/4

0.25 = 25%

when rotating a point 270° counterclockwise, any point (x,y) becomes (y,-x)

So,

L(-1,5), M( -1, 7), and N(-8,5)

L (-1,5) ⇒ L' (5,1)

M (-1,7) ⇒ M' (7,1)

N(5,1) ⇒ N'(5,8)

Correct option: C. L(5, 1), M(7, 1), N(5, 8)

The area that each color would occupy in the circular garden is: 251.32 sq. ft.

Area of a circle = πr², where the radius of the circle is represented as r.

Area of the circular garden = πr² = π(20²)

Area of the circular garden = 1,256.6 sq. ft.

Area of space each color would cover = 1,256.6/5 = 251.32 sq. ft.

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Answer:

the answer is 28.8 billion plastic bottles

Answer:

28.8 million

Step-by-step explanation:

24 hrs in one day - 1.2 M*24=28.8 M

Answer:

a (18)

Step-by-step explanation:

rate of large polygon side to small polygon side is 15:10, or big polygon is 1.5 times greater than small polygon.

so, 12 * 1.5 = 18.

Answer: I think the answer would be 18 or A

Step-by-step explanation: I think because 12+5=17 but 18 is the closest to 17 how I got it is because 15-10=5. It's hard to explain but i think it's A

Answer:

Step-by-step explanation:

x - 10+ 9x = - 1 + 10x

-10 + 1 = -x - 9x + 10x

-9 = 0

the equation is false

Answer:

Step-by-step explanation:

just find the area of both then subtract the small area from the large

Answer:

(3x +2)*(2x+1) - (2x)*(x+1)

Step-by-step explanation:

Area = length x width

You need the overall shape (the first parentheses) minus the not shaded area (the other parentheses) to get the shaded area

Step-by-step explanation:

(-2xy^3)^3

(-2(4)(-1)^3)^3

(-2(4)(-1))^3

(8)^3

512

Answer:

4:3

Step-by-step explanation: