a.a + b.b = 612
And
a+b = 30

so a.b?
Pls help.

Answer:

∠ EDC = 55°

Step-by-step explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA = \(\frac{180-20}{2}\) = \(\frac{160}{2}\) = 80°

Similarly for Δ BCD

∠ CDB = \(\frac{180-90}{2}\) = \(\frac{90}{2}\) = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°

Answer:

It's -2, not -12 and the other is -21

Step-by-step explanation:

7*-3=-21

21/-12=-2

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

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When the standard deviation of a data set is 19 then the datasets variance will be :

361

                  variance = σ2

We are given a data set with a standard deviation of 19 and are asked to calculate the variance of the data values.

standard deviation = 19

We know that the variance of a data set is equal to the square of the standard deviation of the data values, so if the standard deviation is 19, the variance will be 19².

            variance = standard deviation²

             variance = 19²

                             = 361

As a result, the variance of the data values is 361.

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Answer:

1) (12x² - 21) ft²

2) (16x² - 42) ft²

3) (28x² - 63) ft²

4) a) 747 ft²

b) 982 ft²

c) You will need 235 more square feet of wallpaper for the living room than the family room.

Step-by-step explanation:

LSA of cuboid = 2h(l + b)

1) h = x, l = 3x and b = 3x

ar(walls) = 2(x)(3x + 3x)

= 2x(6x)

= 12x²

ar(door) = width* height

= 3*7

= 21

Paper for room = ar(walls) - ar(door)

= (12x² - 21) ft²

2) h = x, l = 5x and b = 3x

ar(walls) = 2(x)(5x + 3x)

= 2x(8x)

= 16x²

ar(doors) = 2* ar(door)

= 2*21      (ar(door) = 21 from Q1)

= 42

Paper for room = ar(walls) - ar(doors)

= (16x² - 42) ft²

3) Total paper = paper for living room + paper for family room

=  12x² - 21 + 16x² - 42

=  (28x² - 63) ft²

4) x = 8

a) living room: 12x² - 21

= 12(8²) - 21

= 747 ft²

b) family room: 16x² - 42

= 16(8²) - 42

= 982 ft²

c) Difference in area: 982-747

= 235 ft²

You will need 235 more square feet of wallpaper for the living room than the family room.

We can see here that the areas are:

1) (12x² - 21) ft²

2) (16x² - 42) ft²

3) (28x² - 63) ft²

4) a) 747 ft²

b) 982 ft²

c)  235 more square feet of wallpaper will be needed for the living room than in the family room.

Area refers to the extent or size of a two-dimensional surface or region. It is a measurement of the amount of space enclosed within the boundaries of a shape or an object.

In mathematics, area is typically expressed in square units, such as square meters (m²), square centimeters (cm²), square inches (in²), or square feet (ft²).

Below is how the above answers were gotten:

LSA of cuboid = 2h(l + b)

1) h = x, l = 3x and b = 3x

area(walls) = 2(x)(3x + 3x)

= 2x(6x)

= 12x²

area(door) = width × height

= 3×7

= 21

Paper for room = area(walls) - area(door)

= (12x² - 21) ft²

2) h = x, l = 5x and b = 3x

area(walls) = 2(x)(5x + 3x)

= 2x(8x)

= 16x²

area(doors) = 2 × ar(door)

= 2 × 21      (area(door) = 21 from Q1)

= 42

Paper for room = area(walls) - area(doors)

= (16x² - 42) ft²

3) Total paper = paper for living room + paper for family room

=  12x² - 21 + 16x² - 42

=  (28x² - 63) ft²

4) x = 8

a) living room: 12x² - 21

= 12(8²) - 21

= 747 ft²

b) family room: 16x² - 42

= 16(8²) - 42

= 982 ft²

c) Difference in area: 982-747

= 235 ft²

235 ft² more square feet of wallpaper for the living room than the family room.

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Una expresión algebraica consta de una variable, coeficiente, exponente y signos.

Una variable es cualquier término desconocido y representado por el alfabeto inglés, como a, b, c, etc.

Un coeficiente es un número que se multiplica por la variable, como 2, 17, 39, etc.

Un exponente da la potencia del término que indica cuántas veces se repite.

a) -21x³w⁷

Firmar: -

Coeficiente: 21

Literales: X, W

Exponentes: 3.7

b) -755

Signo: negativo -

Coeficiente: 755

Literales: nulo

Exponentes: 1

c) 8a²b⁵

Signo: Positivo +

Coeficiente: 8

Literales: a, b

Exponentes: 2,5

d) m11

Signo: Positivo +

Coeficiente: 11

Literales: m

Exponentes: 1

e) xyws

Signo: positivo

Coeficiente: 1

Literales: x, y, w, s

English

An algebraic expression consists of a variable , co efficient, exponent and signs.

A  variable is any term that is unknown and represented by the English alphabet such as a, b,c and so on.

A co efficient is a number that is multiplied by the variable such as 2, 17 ,39 etc.

An exponent gives the power of the term indicating how many times it is repeated.

a) -21x³w⁷

Sign: -

Coefficient: 21

Literals: X, W

Exponents: 3.7

b) -755

Sign: negative -

Coefficient: 755

Literals:  nil

Exponents:  1

c) 8a²b⁵

Sign: Positive +

Coefficient: 8

Literals:  a,b

Exponents: 2,5

: d) m11

Sign: Positive+

Coefficient:  11

Literals: m

Exponents: 1

e) xyws

Sign: Positive

Coefficient: 1

Literals: x,y,w,s

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To find the height of the top of the ladder from the ground, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the side of the house. The bottom of the ladder, the side of the house, and the height of the ladder form the three sides of the right triangle.

Given:

Length of the ladder (hypotenuse) = 12 ft

Distance from the side of the house to the bottom of the ladder = 10 ft

Let's denote the height from the ground to the top of the ladder as 'h.'

Using the Pythagorean theorem, we can write the equation as:

\(h^2 + 10^2 = 12^2\)

Simplifying the equation:

\(h^2 + 100 = 144\)

\(h^2 = 144 - 100\)

\(h^2 = 44\)

Taking the square root of both sides:

h = √44 ≈ 6.6 ft

Therefore, the top of the ladder is approximately 6.6 feet from the ground.

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Answer:

84 ÷ -12 = -7

21 ÷ -3 = -7

Step-by-step explanation:

49 ÷ -7 = -7

Means that __ ÷ __ must equal -7

There are many options, here are a few:

84 ÷ -12 = -7

or -84 ÷ 12 = -7

21 ÷ -3 = -7 etc

The simplified form of the expression for -5√6 x .3√6x³ is -9x³.

To multiply and simplify -5√6 x .3√6x³, we can follow these steps:

Step 1: Multiply the coefficients:
-5 x .3 = -1.5

Step 2: Multiply the numbers under the square roots:
√6 x √6 = √(6 x 6)

= √36

= 6

Step 3: Multiply the variables with exponents as follows:
x³

Putting it all together, we have the following equation:
-1.5 * 6x³

To simplify further, we multiply -1.5 and 6:
-1.5 * 6 = -9

So, the simplified expression is -9x³.

Conclusion:
The simplified expression for -5√6 x .3√6x³ is -9x³.

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Answer: m=n=3

Step-by-step explanation:

Reflecting across the y=0, in other words, the x-axis, means

\((x,y) \longrightarrow (x,-y)\)

So, \(p(m,5-n) \longrightarrow p'(m,n-5)=p'(2m-3, 2n-8)\)

This gives us the system

\(m=2m-3 \longrightarrow \boxed{m=3}\\\\n-5=2n-8 \longrightarrow \boxed{n=3}\)

Answer:

Step-by-step explanation:

3/2=5d-1/2 ( do cross multiplication )

3*2=2(5d-1)

6=10d-2

6+2=10d

8/10=d

4/5=d

0.8=d

Answer:

55 ÷ 11 +5 × 19 × 2 =195

If you take turns in filling each gap then at one point you can get the answers.

Brainliest pls if it is correct! And hope it helps!

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Answer:

BCF

Step-by-step explanation:

Answer:

a) 6 2/5  

b) 13 1/2

Step-by-step explanation:

Have a nice day!

Can I maybe have brainliest?

I forgot it was simplify..

This formula calculates the value corresponding to a 90% confidence level using the T.INV function. The first argument, 0.95, represents 1 minus the desired confidence level (0.05 for a 90% confidence level). The second argument, `COUNT(A2:A89)-1`, calculates the degrees of freedom by subtracting 1 from the count of data points.

To find the value from the appropriate probability table to construct a 90% confidence interval in cell B8, you can use the T.INV function in Excel. Here's how you can do it:

1. In cell B8, enter the formula:

  ```

  =T.INV(0.95, COUNT(A2:A89)-1)

  ```

  This formula calculates the value corresponding to a 90% confidence level using the T.INV function. The first argument, 0.95, represents 1 minus the desired confidence level (0.05 for a 90% confidence level). The second argument, `COUNT(A2:A89)-1`, calculates the degrees of freedom by subtracting 1 from the count of data points.

Make sure to adjust the cell references in the formula based on the actual location of your data in the spreadsheet.

Note: The T.INV function returns the value from the Student's t-distribution, which is used for small sample sizes or when the population standard deviation is unknown.

If you have a large sample size (usually considered more than 30), you can use the Z.INV function instead to calculate the value from the standard normal distribution.

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Answer:

x = -25.

Step-by-step explanation:

If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.

f(g(x)) = -10x + 5, and x = 3.

-10 * 3 + 5

= -30 + 5

= -25.

Hope this helps!

Mean is the measure of center that the player should report. So option A:  "The player should report the mean" is the correct answer choice.

The mean is a measure of center that represents the average value of a set of data. If the team has scored a lot of points and the distribution of their scores is relatively symmetrical, the mean will provide a good summary of the central tendency of the data.

In contrast, the median is a measure of center that represents the middle value of a set of data when the data is arranged in order. The median is a useful measure of center when the distribution of the data is skewed or has outliers, as it is less affected by extreme values than the mean.

Therefore, if the player wants to emphasize that the team has scored a lot of points and the distribution of their scores is relatively symmetrical, he should report the mean.

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Answer:

Step-by-step explanation:

18 degrees

The proportions equal to the ratio 9 : 5 is given by the equation A = 18 : 10 , 27 : 15 and 36 : 20

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

A = 9 : 5

Now , the proportion equivalent to the proportion A is given by

A = 9/5   be equation (1)

Multiplying the numerator and denominator by 2 , we get

A = 18/10

So , the value of A = 18 : 10

Now , Multiplying the numerator and denominator by 3 , we get

A = 27/15

So , the value of A = 27 : 15

Now , Multiplying the numerator and denominator by 4 , we get

A = 36/20

So , the value of A = 36 : 20

Hence , the proportion is 9 : 5

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Step-by-step explanation:

Apply Quotient of Powers:

\( \frac{ {9}^{9} }{ {9}^{3} } = {9}^{9 - 3} = 9 {}^{6} \)

The 2nd question is the first option

The 3rd question is the third option

Answer:

1st one: 9^6

2nd one: m^3

3rd one :a^3b^5

(im not entirely sure about the second one)

Answer:

400

Step-by-step explanation:

To determine whether there is a decrease in voter support for the candidate after the scandal, we can test the hypothesis using the proportions of the two polls. The first poll showed 54% support among 630 randomly selected voters, while the second poll showed 51% support among 1010 voters. By conducting a hypothesis test, we can determine if the difference in proportions is statistically significant.

To test the hypothesis, we can use the two-sample z-test for proportions. The null hypothesis (H0) assumes no difference in voter support, while the alternative hypothesis (H1) assumes a decrease in support. We can calculate the test statistic using the formula:

z = (p1 - p2) / √[(p(1 - p) / n1) + (p(1 - p) / n2)]

where p1 and p2 are the proportions from the two samples, and n1 and n2 are the respective sample sizes. p is the pooled proportion, calculated as (x1 + x2) / (n1 + n2), where x1 and x2 are the respective number of successes (votes for the candidate) in each sample.

By calculating the z-value, we can compare it to the critical value for the desired significance level (e.g., α = 0.05). If the z-value exceeds the critical value, we reject the null hypothesis in favor of the alternative hypothesis, indicating a statistically significant decrease in voter support.

After performing the calculations, if the z-value exceeds the critical value, we can conclude that there is evidence to support the claim of a decrease in voter support for the candidate after the scandal. Conversely, if the z-value does not exceed the critical value, we fail to reject the null hypothesis, suggesting that there is insufficient evidence to conclude a significant decrease in support.

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Given:

A card is selected randomly from a standard deck of 52 cards.

To find:

The probability of each outcome.

a. a king of heart

b. a queen of spades

c. an ace of flower

d. an ace of diamond​

Solution:

In a standard deck of 52 cards.

Total number of cards = 52

13 cards of each suit (heart, diamond, club, spade).

13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a. We need to find the probability of getting a king of heart.

Number of king of heart = 1

\(P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}\)

\(P(\text{a king of heart})=\dfrac{1}{52}\)

b. We need to find the probability of getting a queen of spades.

Number of queen of spades = 1

\(P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}\)

\(P(\text{a queen of spades})=\dfrac{1}{52}\)

c. We need to find the probability of getting an ace of flower (spades).

Number of ace of flower = 1

\(P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}\)

\(P(\text{an ace of flower})=\dfrac{1}{52}\)

d. We need to find the probability of getting an ace of diamond​.

Number of ace of diamond​ = 1

\(P(\text{an ace of diamond​})=\dfrac{\text{Number of ace of diamond​}}{\text{Total cards}}\)

\(P(\text{an ace of diamond​})=\dfrac{1}{52}\)

Therefore, the required probabilities for each parts are:

(a) \(\dfrac{1}{52}\)

(b) \(\dfrac{1}{52}\)

(c) \(\dfrac{1}{52}\)

(d) \(\dfrac{1}{52}\)

The probabilities for each of the given selections are;

A) 1/52

B) 1/52

C) 1/52

D) 1/52

A) Since total number of cards in the deck is 52 and there is only one king of heart, then;

Probability of selecting a king of heart = 1/52

B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;

Probability of selecting a queen of spade = 1/52

C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;

Probability of selecting an ace flower = 1/52

D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;

Probability of selecting am ace of diamond = 1/52

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Answer:

NO

Step-by-step explanation:

3(1+3) = 8 - 2(1)

3(4) = 8 - 2

12 = 8 - 2

12 ≠ 6

Answer:

7.47 inches

Step-by-step explanation:

0.8 in : 1.5 ft

14 ft / 1.5 ft

9.33

9.33 x 0.8

7.464

Answer:

b

Step-by-step explanation:

the answer is 7.47 inches

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

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Answer:

11/20

Step-by-step explanation:

5 cents is worth $0.05.

A quarter is worth $0.25.

A dime is worth $0.10

A nickel is worth $0.05

A penny is worth $0.01

In total there are 40 coins in the jar.

The coins that are worth more than $0.05 dollars are the dimes and quarters, so there are 22 coins worth more than $0.05.

Therefore, the probability of of picking a coin worth more than 5 cents is:

22 / 40 = 11/20

The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.

Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.

The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).

Values in between those two extremes indicate a weaker correlation.

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