Triangle a'b'c' is result of dilating abc about point a by a scale factor of 2/3. Determine whether each claim about the properties of abc and a'b'c' is true or false

The molecular geometry of o=c=o is linear.

The molecular geometry of o=c=o is linear because it contains two atoms of similar electronegativity (the two oxygen atoms) and one atom of lower electronegativity (the carbon atom).

This means the two oxygen atoms will pull the electrons of the carbon atom towards themselves, creating a linear geometry. The Molecular Geometry Chart can be used to confirm this.

The chart shows that when there are two atoms of similar electronegativity and one atom of lower electronegativity, the molecular geometry is linear.

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Given,

F= Fixed Cost = $18,000

V= Variable Cost per unit = $0.90

P= Price per unit = $3.20

a) Q= Quantity = 12,000 cupcakes annually

Total Cost (TC) formula is:TC = F + V x Q = 18,000 + 0.90 × 12,000 = $29,400

Total Revenue (TR) formula is:TR = P × Q = 3.20 × 12,000 = $38,400

Profit formula is:Profit = TR − TC = 38,400 − 29,400 = $9,000.

b) The bakery will need to sell 6,924 cupcakes in order to break even.

The formula for the Break-even point (BEP) is BEP = F / (P - V) = 18,000 / (3.20 - 0.90) = 6,923.08 ≈ 6,924 cupcakes

5. The graphical representation of the Break-even volume for the Gobblecakes bakery is shown below:

8. Break-even volume as a percentage of maximum operating capacity will be = 58%

Break-even volume as a percentage = (Break-even volume / Maximum operating capacity) x 100%

                                                             = (6,923.08 / 12,000) x 100% = 57.69% ≈ 58%

11. The new Break-even point (BEP) will increase from 6,924 cupcakes to 8,750 cupcakes.

When the selling price for a cupcake changes from $3.20 to $2.75, the new Break-even point (BEP) will be:

BEP = F / (P - V) = 18,000 / (2.75 - 0.90) = 8,750 cupcakes

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Answer: 30\(\pi \\\) or 94.247

Step-by-step explanation:

Circumference=2\(\pi\)r

2·\(\pi\)·15=30\(\pi\)=94.247

Answer:

94.2in.

Step-by-step explanation:

The formula for circumference is 2radius x π

π≈3.14

So we can say:

30in.x3.14=circumference

30x3.14=94.2

94.2in=circumference

(i.e. I don't know what you mean by using T.)

Answer:

2:3

Step-by-step explanation:

9marbles - redmarbles=6marbles

6/9

To simplify the ratio 6:9, we find the greatest common divisor of 6 and 9, and then we divide 6 and 9 by the greatest common divisor. The greatest common divisor that you can use to simplify 6:9 is 3. Which means the answer to ratio 6:9 simplified is: 2:3. Here is the math to illustrate better: 6/3 = 2 and 9/3 = 3.

Answer:

2 : 4

green : blue

Step-by-step explanation:

if there is 9 marbles in the bag and 3 are red and 2 are green then 3+2= 5 so 9-5 = 4 so there 4 blue marbles

hope this helps

The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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Answer:

2,000,000

Step-by-step explanation:

Simple maths, really.

65 times 2 is 130, and the population is already 500,000 with no time passing. 65 years later, the population would be 1,000,000. 65 years after that, the population would double again, so the answer would be 2 million.

Hope this helped!

The number of outcomes in the sample space is 25

First time taking the tile out of urn and marking it down, the possibilities are 1,2,3,4,5

After replacement of the tile, once again there are 5 tiles in the urn.

Second time taking the tile and marking it down, the possibilities are 1,2,3,4,5

The sample space is set of all possibilities, which is

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(2,5),(3,1),(3,2),(3,3),(3,4),(3,5),(4,1),(4,2),(4,3),(4,4),(4,5),(5,1),(5,2),(5,3),(5,4),(5,5)}

S=25

The number of outcomes in the sample space is 25

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Answer

Number of students Total cost

0 $800

20 $1160

30 $1340

40 $1520

50 $1700

Explanation

Given

Cost per student = $18

The cost of the bus = $800

Step-by-step solution:

The total cost for food, admission, and the bus can be calculated using;

18a + b

Where a is the number of students and b is the cost of the bus.

For 30 students:

$18(30) + $800 = $540 + $800 = $1340

For 40 students:

$18(40) + $800 = $720 + $800 = $1520

For 50 students:

$18(50) + $800 = $900 + $800 = $1700

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{10^{15}}{10^4}}\)

\(\mathsf{10^{15}}\\\mathsf{=10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times 10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 1,000,000,000,000,000}}\)

\(\mathsf{\dfrac{\bold{1,000,000,000,000,000}}{10^4}}\)

\(\mathsf{10^4}\\\mathsf{= 10\times10\times10\times10}\\\mathsf{10\times10=\bf 100}\\\mathsf{100\times100}\\\mathsf{= \boxed{\bf 10,000}}\)

\(\mathsf{\dfrac{1,000,000,000,000,000}{\bf 10,000}}\)

\(\mathsf{\dfrac{1,000,000,000,000,000}{10,000}}\\\\\mathsf{= 1,000,000,000,000,000\div 10,000}\\\\\mathsf{= \boxed{\bf 100,000,000,000}}\)

\(\mathsf{10^{11}}\\\mathsf{10\times10\times10\times10\times10\times10\times10\times10\times10\times10\times10}\\\mathsf{= \boxed{\bf 100,000,000,000}}\)

\(\mathsf{100,000,000,000= 100,000,000,000= 10^{11}}\)

\(\boxed{\boxed{\large\text{Answer: BASICALLY }\mathsf{\dfrac{10^1^5}{10^4}\large\text{ is EQUAL to or EQUIVALENT to}}}}\\\boxed{\boxed{\mathsf{10^{11}}\large\text{ because they both give you the result of \bf 100,000,000,000}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

AccordingAccording to the question probability table of given situation is given as image1 and image2, the probability associated with W = 3 and w = 1 are 8/27 and 12/27 respectively.

Part (a):-

Here, W is the random variable giving the difference between the number of heads and tails in three tosses of a coin.

The sample space on three tosses of a coin along with the corresponding values of W as follows: given below in (image1).

Part (.b)

Here, it is found that the random variable,

W can take the values 3,1,−1,−3.

As the coin is biassed with the probability of heads and tails in the ratio, 2:1, it implies that P(H) =2/3 and P(T) = 1/3.

Here, the probability associated with W = 3, (all three heads) can be calculated as follows:

P(W=3) = ⅔ × ⅔ × ⅔ = 8/27      

Similarly, the probability associated with W = 1, (2 heads and 1 tails) can be calculated as follows:

P(W=1) = 3 × (⅔ × ⅔ × ⅓ ) = 12/27

So, the probability distribution table for W can be calculated as follows: given below in (image2).

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answer:

8x - 16 + 5x + 15 = 90

and

8x - 6 + 18x + 4 = 180

Answer:

Blank 1: 2xy(4x-5)=3(4x-5)

Blank 2: (2xy+3)(4x-5)

Step-by-step explanation:

The first step in factoring this polynomial is to find the biggest common factor in both numbers inside the parenthesis, and the second step is to find the biggest common factor of the 2 addents.

The other steps are invalid, either because they don't respect positive or negative signs, or that they just factor it wrong completely.

The only correct answer are:

Blank 1: 2xy(4x-5)=3(4x-5)

Blank 2: (2xy+3)(4x-5)

Answer:

-3

Step-by-step explanation:

Let the number be x.

x^2 - 21 = 4x

x^2 - 4x - 21 = 0

(x - 7)(x + 3) = 0

x - 7 = 0 or x + 3 = 0

x = 7 or x = -3

Answer: -3

Answer:

-3

Step-by-step explanation:

I got it right

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Answer:

22

Step-by-step explanation:

hope this helps u. if not, then im sorry.

Answer:

two cost 5.6 dollars

Step-by-step explanation:

8.4 / 3=2.8$

2.8*2=5.6$

Answer:

$5.60

Step-by-step explanation:

You first take 8.40 and divide it by 3. Which makes you get 2.8. 2.8 is the cost per ice cream cone. Do 2.8 times 2 to get 5.6.

According to the question The tax for a house assessed at $160,000 would be $4,000.

To find the tax for a house assessed at $160,000 using the same tax rate, we can set up a proportion based on the assessed values and taxes paid:

\(\(\frac{\text{{Assessed value of house 1}}}{\text{{Tax paid for house 1}}}\) = \(\frac{\text{{Assessed value of house 2}}}{\text{{Tax for house 2}}}\)\)

Substituting the given values, we have:

\(\(\frac{120,000}{3,000} = \frac{160,000}{x}\)\)

Cross-multiplying and solving for \(\(x\)\), we get:

\(\(x = \frac{160,000 \times 3,000}{120,000}\)\)

Calculating the expression on the right side, we find:

\(\(x = \$4,000\)\)

Therefore, the tax for a house assessed at $160,000 would be $4,000.

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Answer:

7 zeros

Step-by-step explanation:

2¹² = 4096

5⁷ = 78,125

4096 × 78125 = 320,000,000

The number has seven zeros at the end of it.

Hope that helps.

Answer:

y+2=1/2(x+3)

Why?

Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)

The expression P(N) represents the probability of adults responding "never" when asked how often they typically travel on commercial flights. The value of P(N) is 0.33.

In the context of the Harris survey, the expression P(N) represents the probability of an adult responding "never" when asked about their frequency of travel on commercial flights. The letter N is used to represent the response category "never."

The value of P(N) is given as 0.33. This means that out of the total number of adults surveyed, approximately 33% of them responded with "never" when asked about their travel frequency on commercial flights.

The probability P(N) can be understood as a measure of the likelihood of selecting an individual from the survey sample who falls into the "never" category. In this case, P(N) has been determined to be 0.33, indicating that a significant proportion of the respondents in the survey do not travel on commercial flights.

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9514 1404 393

Answer:

  P = 50,000

  r = 0.08

  i = 0.02

  K = 4

  n = 20

  t = 5

Step-by-step explanation:

In this formula, r is the annual interest rate, 8% or 0.08. K is the number of times the interest is compounded in a year. Since interest is compounded quarterly, K = 4.

  r = 0.08

  i = r/K = 0.08/4

  i = 0.02

t is the number of years interest is compounded, so ...

 t = 5

  n = Kt = 4·5

  n = 20

P is the principal amount invested:

  P = 50,000

The correct decision in a hypothesis test when the data produces a t-statistic that is in the critical region is to reject the null hypothesis.

This is because a t-statics in the critical region indicates that the differences between the sample mean and the population mean are statistically significant. This means that the data indicates that the null hypothesis is wrong and that the alternative hypothesis is true. In a hypothesis test, the null hypothesis is what the researcher is trying to disprove. It is the general statement that suggests that there is no difference between the sample mean and the population mean. The alternative hypothesis is what the researcher is attempting to prove. It suggests that there is a difference between the sample mean and the population mean. Therefore, when the data produces a t-statistic that is in the critical region, it indicates that the alternative hypothesis is true. When a t-statistic is in the critical region, it means that the result is statistically significant. This means that the differences between the sample mean and the population mean are unlikely to have occurred by chance and that the alternative hypothesis is likely to be true. Therefore, when the data produces a t-statistic that is in the critical region, the correct decision is to reject the null hypothesis and accept the alternative hypothesis.

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Answer:

your answer would be c

Step-by-step explanation:

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event might occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Classical: (equally probable outcomes) (equally probable outcomes) Let S be the sample space (the collection of all unique outcomes that might occur).

Subjective Probability. Definition of Relative Frequency.

Considering there are males, females and other genders

The probability that a randomly selecting a college student at Washington who either a male or a female is 33.3%

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n(AUB)=n(A)+n(B)-n(AnB)

=25+27-10

=52-10

=42

n(AUB)=n(A)+n(B)-n(AnB)

=25+27-10

=52-10

=42

The formula for the number of elements in A union B is n(A U B) = n(A) + n(B) - n(A ∩ B).

What is AUB A ∩ B?

The union of two sets A and B, written A U B, is the combination of the two sets. Intersection The intersection of two sets A and B, written AnB, is the overlap of the two sets.

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The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

$4.25

Step-by-step explanation:

(1.5 + 2p) x 1.15 = 11.5

1.725 + 2.3p=11.5

2.3p=9.775

p=4.25

chek

4.25+4.25+1.5=10

10×1.15=11.5

Answer:

2

Step-by-step explanation:

4(f+2)=16

4f+8=16

4f=8

f=8/4

f=2