what is the scale factor

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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9514 1404 393

Answer:

  2 1/4 days

Step-by-step explanation:

You could extend your table a bit to help answer this.

  (days, hours)

  (1, 24)

  (1/2, 12)

  (1/4, 6)

  (2, 48)

Now, we observe that 54 hours is 6 more hours than 48 hours, so will be 1/4 day more than 2 days.

54 hours is 2 1/4 days

Answer:

Step-by-step explanation:

The sum of the three angles is 180°.

  (2x) +(x+y) +(52-2y) = 180

  3x -y = 128 . . . . write in standard form

The congruent angles have equal measure.

  2x = 52 -2y

  x + y = 26 . . . . write in standard form

__

Adding these two standard-form equations, we get ...

  (3x -y) +(x +y) = (128) +(26)

  4x = 154

  x = 38.5

  x + y = 26

  y = 26 -38.5 = -12.5

The values of interest are ...

Answer:

[tex]f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252[/tex]

[tex]g(f(x)) = 3x^4 + 18x^2 + 18[/tex]

f(x) and g(x) and not inverse functions

Step-by-step explanation:

Given

[tex]f(x) = 3x^2 + 9[/tex]

[tex]g(x) = \dfrac{1}{3}x^2 - 9[/tex]

Required

Determine f(g(x))

Determine g(f(x))

Determine if both functions are inverse:

Calculating f(g(x))

[tex]f(x) = 3x^2 + 9[/tex]

[tex]f(g(x)) = 3(\frac{1}{3}x^2 - 9)^2 + 9[/tex]

[tex]f(g(x)) = 3(\frac{1}{3}x^2 - 9)(\frac{1}{3}x^2 - 9) + 9[/tex]

Expand Brackets

[tex]f(g(x)) = (x^2 - 27)(\frac{1}{3}x^2 - 9) + 9[/tex]

[tex]f(g(x)) = x^2(\frac{1}{3}x^2 - 9) - 27(\frac{1}{3}x^2 - 9) + 9[/tex]

[tex]f(g(x)) = \frac{1}{3}x^4 - 9x^2 - 9x^2 + 243 + 9[/tex]

[tex]f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252[/tex]

Calculating g(f(x))

[tex]g(x) = \dfrac{1}{3}x^2 - 9[/tex]

[tex]g(f(x)) = \frac{1}{3}(3x^2 + 9)^2 - 9[/tex]

[tex]g(f(x)) = \frac{1}{3}(3x^2 + 9)(3x^2 + 9) - 9[/tex]

[tex]g(f(x)) = (x^2 + 3)(3x^2 + 9) - 9[/tex]

Expand Brackets

[tex]g(f(x)) = x^2(3x^2 + 9) + 3(3x^2 + 9) - 9[/tex]

[tex]g(f(x)) = 3x^4 + 9x^2 + 9x^2 + 27 - 9[/tex]

[tex]g(f(x)) = 3x^4 + 18x^2 + 18[/tex]

Checking for inverse functions

[tex]f(x) = 3x^2 + 9[/tex]

Represent f(x) with y

[tex]y = 3x^2 + 9[/tex]

Swap positions of x and y

[tex]x = 3y^2 + 9[/tex]

Subtract 9 from both sides

[tex]x - 9 = 3y^2 + 9 - 9[/tex]

[tex]x - 9 = 3y^2[/tex]

[tex]3y^2 = x - 9[/tex]

Divide through by 3

[tex]\frac{3y^2}{3} = \frac{x}{3} - \frac{9}{3}[/tex]

[tex]y^2 = \frac{x}{3} - 3[/tex]

Take square root of both sides

[tex]\sqrt{y^2} = \sqrt{\frac{x}{3} - 3}[/tex]

[tex]y = \sqrt{\frac{x}{3} - 3}[/tex]

Represent y with g(x)

[tex]g(x) = \sqrt{\frac{x}{3} - 3}[/tex]

Note that the resulting value of g(x) is not the same as [tex]g(x) = \dfrac{1}{3}x^2 - 9[/tex]

Hence, f(x) and g(x) and not inverse functions

Answer:

80

Step-by-step explanation:

Answer:

well 5 x 6 is 30 carry the 3, 1 x 6 is 6 plus the 3 is 9 so ur answer is 90

Step-by-step explanation:

Answer: The smallest number to be divided by 768 is 768. The number obtained will be one and the square root of 1 is 1.

Step-by-step explanation:

We need to find a number that when being divided by 768 we will get a perfect square number. First list the perfect square numbers ,which starts from 1,4,9,16,25,36,49,64.....  

In these perfect squares  the least of them is 1, meaning that we  need to find a number that when divided  by 768 we will get 1. We know that when a number is divided by the same number we get 1. Meaning that the smallest number to be divided by 768 to get 1  is 768 itself.  

The number obtained is 1 .

The square root of one is 1.

Answer:

27 is a composite number. 27 = 1 x 27, or 3 x 9. Factors of 27: 1, 3, 9, 27. Prime factorization: 27 = 3 x 3 x 3, which can also be written 27 = 3³.

Answer:

3 x 3 x 3

Step-by-step explanation:

ok so 27 can be broken down to 3 and 9

3 x 9

and 3 x 9 can be broken down to 3 and 3 and 3

3 x 3 x 3

Answer:

Arithmetic sequence:  [tex]a_{n}=a_{1}+(n-1)d[/tex]

Geometric sequence: [tex]a_{n}=a_{1}(r)^{n-1}[/tex]

Step-by-step explanation:

The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.

Examples:

The explicit formula for the nth term of the arithmetic sequence is:

The geometric sequence: is the sequence whos consecutive terms have a constant ratio

Examples:

The explicit formula for the nth term of the geometric sequence is:

* Arithmetic sequence          →→→→→→   Geometric sequence

 Has a constant difference    →→→→→→    Has a constant ratio

 [tex]a_{n}=a_{1}+(n-1)d[/tex]                  →→→→→→    [tex]a_{n}=a_{1}(r)^{n-1}[/tex]

 [tex]d=a_{n}-a_{n-1}[/tex]                          →→→→→→    [tex]r=\frac{a_{n}}{a_{n-1} }[/tex]

Answer:

Slope (m) = -1/2

Step-by-step explanation:

y = mx + b

5x – 10y = 30

-5x             -5x

-10y = -5x + 30

y = -5x/ 10 + 30/10

y = -1/2x + 3

Answer:

Formula: 0.12x = y

Step-by-step explanation:

5 × 0.12 = 0.60

3 × 0.12 = 0.36

14 × 0.12 1.68

says the answer needs to be 20 letters long so here are the 20 letters

Step-by-step explanation:

1. -3/7

2. x = 0, -3, -4

The categories being mutually exclusive and independent observations. Violation of these assumptions may affect the validity of the test results.

To run a chi-square goodness-of-fit test with only one variable available, you can compare the observed frequencies of different categories with the expected frequencies under a specified distribution or hypothesis.

Here are the steps to conduct a chi-square goodness-of-fit test with one variable:

1. Define your null hypothesis (H₀) and alternative hypothesis (H₁). The null hypothesis typically states that the observed data follows a specific distribution or expected frequencies.

2. Determine the expected frequencies for each category under the null hypothesis. If you have a specific distribution in mind, such as a uniform distribution or a normal distribution, you can use the expected frequencies based on that distribution. If not, you can use the proportion of each category in the sample as the expected frequency.

3. Collect your observed data. This should consist of the frequencies or counts for each category in your single variable.

4. Calculate the chi-square test statistic. The chi-square test statistic measures the discrepancy between the observed and expected frequencies. It is calculated using the formula:

  χ² = Σ((O - E)² / E)

  where O is the observed frequency and E is the expected frequency for each category.

5. Determine the degrees of freedom (df) for the test. For a chi-square goodness-of-fit test with one variable, the degrees of freedom is equal to the number of categories minus 1.

6. Look up the critical value from the chi-square distribution table using the significance level (α) and the degrees of freedom. This critical value determines the threshold for rejecting the null hypothesis.

7. Compare the calculated chi-square test statistic with the critical value. If the calculated chi-square test statistic is greater than the critical value, you reject the null hypothesis. If it is less than or equal to the critical value, you fail to reject the null hypothesis.

8. Calculate the p-value associated with the chi-square test statistic. The p-value represents the probability of obtaining the observed data or more extreme results, assuming the null hypothesis is true. You can use a chi-square distribution table or statistical software to calculate the p-value.

9. Make a decision based on the p-value. If the p-value is less than the chosen significance level (α), typically 0.05, you reject the null hypothesis. If the p-value is greater than or equal to α, you fail to reject the null hypothesis.

Remember that the chi-square goodness-of-fit test assumes certain assumptions, such as the categories being mutually exclusive and independent observations. Violation of these assumptions may affect the validity of the test results.

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Answer:

−2⋅(2x−3)⋅(x+1)

Step-by-step explanation:

Answer:

(5,-3)

Step-by-step explanation:

The set of the whole numbers is the set of all the positive integers and the zero. So we can write it as:

{0, 1, 2, 3, 4, ...}

We will see that:

if k is a whole number, then there are k whole numbers that are smaller than k.

Let's see how we got that:

Now, we know that k is a whole number, then just let's assign different whole numbers to k and count how many whole numbers are smaller than k.

if k = 1

We have 1 whole number smaller than k, that is the zero.

if k = 2

We have 2 whole numbers smaller than k, the zero and the 1.

if k = 3

we have 3 whole numbers smaller than k, {0, 1, 2}

We already can see the pattern.

if k is a whole number, then there are k whole numbers that are smaller than k.

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Answer:

(7x-3)(x-3)

Good Luck!!!

Answer:

[tex]d=9.2[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(1-8)^2+(1-(-5))^2}[/tex]

[tex]d=\sqrt{(-7)^2+(1+5)^2}[/tex]

[tex]d=\sqrt{49+(6)^2}[/tex]

[tex]d=\sqrt{49+36}[/tex]

[tex]d=\sqrt{85}[/tex]

[tex]d=9.21954[/tex]

[tex]d=9.2[/tex]

Answer:

[tex]c. \: \: \: y + 3 = f(x)[/tex]

Answer:

the ans is 108

Step-by-step explanation:

let the three consecutive no. be 'x'

by question:

x+x+x=324

or,3x=324

or,x =324÷3

or, x=108

checking this answer

108+108+108

=324

Answer:

x =10

Step-by-step explanation:

Use the process of the elimination. Start with the first and work your way down.

y= -3(10) + 2

y= -30 + 2

y = -28

Answer:

19

Step-by-step explanation:

So:

x + (x + 1) + (x + 2) = 5 (x + 2) - 41

3x + 3 = 5x + 10 - 41

3x + 3 = 5x - 31

34 = 2x

17 = x

The numbers are 17, 18, and 19. The biggest is 19

Answer:

t = 81

Step-by-step explanation:

81/-9 = -9

Answer:

81 = t

Step-by-step explanation:

-9 = t/-9

To isolate x, multiply -9 on both sides.

-9 = t/-9

*-9    *-9

81 = t

Hope this helped you...have a great day! C:

Answer:

Y=4x-2

Step-by-step explanation:

You have to try it (x,y) (2,6)

y=4x-2

6=4(2)-2

6=8-2

The correct risk-return graph is option (A).This graph shows that for a negative correlation coefficient, an investor can reduce their risk without sacrificing return by investing in a portfolio that combines two negatively correlated assets. This is because when the assets have negative correlation, they are less likely to move in the same direction at the same time, resulting in a reduced overall portfolio risk.

The expected returns and standard deviations for two assets are as follows:E(R1) = 0.18 E(σ1) = 0.09 w1 = 0.7E(R2) = 0.24 E(σ2) = 0.17 w2 = 0.3Mean of two portfolios:There are two portfolios with a correlation coefficient r1,2, which is given as follows:r1,2 = 0.30Thus, the mean of the two portfolios is calculated as follows:Mean of portfolio 1: (w1 × E(R1)) + (w2 × E(R2))= (0.7 × 0.18) + (0.3 × 0.24)≈ 0.198Mean of portfolio 2: (w1 × E(R1)) + (w2 × E(R2))= (0.7 × 0.18) + (0.3 × 0.24)≈ 0.198Standard deviation of two portfolios if r1,2 = 0.30:The formula to calculate the standard deviation of two portfolios is given as follows:σp = √[w12 × σ1^2 + w22 × σ2^2 + 2w1w2σ1σ2r1,2]σ1 = 0.09σ2 = 0.17r1,2 = 0.30w1 = 0.7w2 = 0.3Thus, the standard deviation of two portfolios if r1,2 = 0.30 is calculated as follows:σp = √[(0.7)2 × (0.09)2 + (0.3)2 × (0.17)2 + 2 × (0.7) × (0.3) × (0.09) × (0.17) × (0.30)]≈ 0.11469 (rounded to 5 decimal places)Standard deviation of two portfolios if r1,2 = -0.45:Thus, the standard deviation of two portfolios if r1,2 = -0.45 is calculated as follows:r1,2 = -0.45σp = √[(0.7)2 × (0.09)2 + (0.3)2 × (0.17)2 + 2 × (0.7) × (0.3) × (0.09) × (0.17) × (-0.45)]≈ 0.08223 (rounded to 5 decimal places)The correct risk-return graph is option (A).

This graph shows that for a negative correlation coefficient, an investor can reduce their risk without sacrificing return by investing in a portfolio that combines two negatively correlated assets. This is because when the assets have negative correlation, they are less likely to move in the same direction at the same time, resulting in a reduced overall portfolio risk.

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Answer:

27is answer

Step-by-step explanation:

x+ x - 14 = 40

or, 2x = 40+ 14

or, 2x = 54

or, x = 54

2

or, x= 27

first you need to find out how long it took him to get there

Answer: b/a

Step-by-step explanation: 4/4 * b/a = 1 * b/a = b/a

a/b is the value of fraction. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.

Given ,

4b/4a

When you divide both the numerator and the denominator by 4, you get:

Therefore  b/a is the value of fraction.

The complete question is : Reduce the following fractions.

4a/4b

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