graph 2x=2y plssssssss

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

Answer:

Check the step-by-step

Step-by-step explanation:

To get the perpendicular you need to find the negative reciprocal, therefore, he is wrong as he did not switch the negative/positive sign in m & 1/m. Also, if m is a fraction like 5/3, the reciprocal would not be 1/m, it would be 3/5 as you flip the denominator and numerator.

Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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Equation of new function when vertically compressing the absolute value of parent function by a factor of 4 is option d. g(x) = (1/4)|x|.

The absolute value parent function is f(x) = |x| .

f(x) = x when x is positive,

and f(x) = -x when x is negative.

To vertically compress the function by a factor of 4,

Multiply the function by 1/4.

This implies,

The equation of the new function is equal to,

g(x) = (1/4) × f(x)

      = (1/4) × |x|

      = (1/4) × x when x is positive,

and g(x) = (1/4) × (-x)

             = (-1/4) × x when x is negative.

This implies,

g(x)=  (1/4) × f(x)

      = (1/4) |x|

(1/4) x for x ≥ 0

(-1/4) x for x < 0

Therefore, the equation of the new function is equal to option d. g(x) = (1/4)|x|.

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The above question is incomplete, the complete question is:

If you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 4, what is the equation of the new function?

a. g(x) = 4x

b. g(x) = 4x -1

c. g(x) = x - 4

d. g(x) = (1/4)|x|

There are "P(20, 10) - P(15, 10)" options (ways) to distribute the coupons so that at least one woman receives a coupon.

What do you mean by permutation?

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

There are P(20, 10) ways to distribute the coupons if they are different, with the only restriction being that no more than one coupon can be given to a shopper. To ensure that all of the coupons go to the guys, there are P(15, 10) ways to distribute them. In order to ensure that at least one coupon is given to a woman, there are P(20, 10) - P(15, 10) options to distribute the coupons.

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Complete Question

10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men.

If the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?

Answer:

Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.

Step-by-step explanation:

Answer: 2.2

Step-by-step explanation:

Answer:

The range of widths is {1.23,1.31} so none will be rejected, answer A.

Answer:

True.  2/11 is greater than 4/25

Step-by-step explanation:

Hope that helps!

Answer:

True

Step-by-step explanation:

The LCM of 11 and 25 is 275.

2/11 -> 50/275

4/25 -> 44/275

2/11 is greater

Given function:

Let the inverse is y = f⁻¹(x).

Swap x and y in the given function and solve for y:

The inverse of the given function is:

Answer:

f-¹(x) = √(x)/3

Step-by-step explanation:

Now we have to,

→ find the inverse of f(x)=9x²

Then the inverse function will be,

→ f(x) = 9x²

→ y = 9x²

→ 9y² = x

→ y² = x/9

→ y = √(x/9)

→ [ y = √(x)/3 ]

Hence, the inverse is √(x)/3.

Answer:

9b + 3c

Step-by-step explanation:

1. Combine like terms:

(7b + 2b) + 3c

2. Simplify.

9b + 3c

Answer:

9b + 3c or 9b^2 + 3c

Step-by-step explanation:

Add 7b & 2b:

9b or 9b^2

If this is correct please give me Brainliest.

The total mass of the chocolate in the box is given as follows:

2160 grams.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions of the box are given as follows:

6 cm, 15 cm and 20 cm.

Hence the volume is given as follows:

V = 6 x 15 x 20

V = 1800 cm³.

The density formula is given as follows:

d = m/v

Hence the mass is obtained as follows:

m = d x v

m = 1.2 x 1800

m = 2160 grams.

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

v/5*3

Step-by-step explanation:

The volume of 5 balls is V cm. Express the volume of 3 balls in terms of V

v/5*3

Step-by-step explanation:

5 balls volumes = V cm

1 ball volume = V/5 cm

:. 3 balls volumes = 3×V/5 = 3V/5 cm

the volume of 3balls is 3V/5 cm.

hope this helps you.

Answer:

16 sq mm

Step-by-step explanation:

hope this helps

The expected cost of accepting or rejecting a person in fingerprint verification is defined using the cost matrix. The threshold for accepting a person is K = ca/(ca+cr). This is computed for the Supermarket and CIA applications.

The expected cost of accepting the person is the probability that the person is an intruder (i.e., g(x) ≤ 0.5) multiplied by the cost of accepting an intruder (ca), plus the probability that the person is the correct person (i.e., g(x) > 0.5) multiplied by the cost of accepting the correct person (0). Thus,

cost(accept) = P(y=-1 | x)ca + P(y=+1 | x)0

= (1 - g(x))ca

Similarly, the expected cost of rejecting the person is the probability that the person is the correct person (i.e., g(x) > 0.5) multiplied by the cost of rejecting the correct person (cr), plus the probability that the person is an intruder (i.e., g(x) ≤ 0.5) multiplied by the cost of rejecting an intruder (0). Thus,

cost(reject) = P(y=+1 | x)cr + P(y=-1 | x)0

= g(x)cr

To minimize the expected cost, we should accept the person if the cost of accepting is less than or equal to the cost of rejecting. Thus, we should accept the person if:

(1 - g(x))ca ≤ g(x)cr

Simplifying this inequality, we get:

g(x) ≥ ca / (ca + cr)

Thus, the threshold K should be set to K = ca / (ca + cr).

For the Supermarket application, we have ca = 1 (i.e., it costs $1 to investigate a customer who is actually innocent) and cr = 100 (i.e., it costs $100 to miss a thief who is actually stealing). Therefore, the threshold should be set to:

K = 1 / (1 + 100) = 0.0098

This means that the Supermarket should accept a customer only if the estimated probability that they are innocent is greater than 0.0098.

For the CIA application, we have ca = 0 (i.e., it is free to investigate a person who is actually an intruder) and cr = 1 (i.e., it costs $1 to reject a correct person). Therefore, the threshold should be set to:

K = 0 / (0 + 1) = 0

This means that the CIA should accept a person if the estimated probability that they are the correct person is greater than 0 (i.e., always accept).

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Answer:

\(73.5cm^{2}\)

Step-by-step explanation:

Answer:

Total cost = $5h + $3s

Step-by-step explanation:

total cost of hot dog = price of hot dog x quantity of hot dog = 5 x $h

total cost of softdrink = price of softdrink x quantity of softdrink = $3s

total cost = $5h x $3s

Answer:

-12+(-8)=-20

-20 is the answer

The correct answer is

x+9

The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars. The total cost of the fuel is 383 USD.

Significant Figure

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

Euro and Dollars:

The cost of the total fuel consumed can be determined by the conversion of the Euro into Dollars.

Given here,

Total distance = 5000 km

Average fuel consumption = 6 lit per 100 km = 0.06 lit / km

Average fuel cost = 1.063 EUR/lit

1 EUR  = 1.2 USD

So, Total fuel consumption,

⇒ 5000 km × 0.06 lit /km

⇒ 300 lit

Thus, Total fuel cost,

⇒ 300 lit × 1.063 EUR/lit

⇒ 318.9 EUR

⇒ 318.9 EUR × 1.2 USD

⇒ 383 USD

Therefore, the total cost of the fuel is 383 USD

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The number will be 6,125.Given, we need to form a four-digit number using the digits 1, 2, 3, and 4. The number should satisfy the following conditions:The thousands digit is three times the tens digit.The hundreds digit is one more than the units digit.The sum of all four digits is 10.

To find: The four-digit number

Solution:Let us assume the digit in the unit place to be x.∴ The digit in the hundredth place will be x + 1∴ The digit in the tenth place will be a.

Let the digit in the thousandth place be 3a∴ According to the given conditions a + 3a + (x + 1) + x = 10⇒ 4a + 2x + 1 = 10⇒ 4a + 2x = 9……(1)

Now, the value of a can be 1, 2, or 3 because 4 can’t be the thousandth place digit as it will make the number more than 4000.Using equation (1),Let a = 1⇒ 4 × 1 + 2x = 9⇒ 2x = 5, which is not possible∴ a ≠ 1

Similarly,Let a = 3⇒ 4 × 3 + 2x = 9⇒ 2x = −3, which is not possible∴ a ≠ 3

Let a = 2⇒ 4 × 2 + 2x = 9⇒ 2x = 1⇒ x = 1/2Hence, the number will be 6,125. Answer: The four-digit number will be 6,125.

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Step-by-step explanation:

\( {x}^{2} - 3x + 4 + 4 {x}^{2} - (x + 12)\)

\(5 {x}^{2} - 4x - 8\)

All formulas that model the sequence​ include the following:

E. aₙ =  aₙ₋₁ - 13.8, where a₁ = -7.4

F. aₙ =  6.4 - 13.8n

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference of the given sequence by using the following formula;

Common difference, d = a₂ - a₁

Common difference, d = -21.2 - (-7.4)

Common difference, d = -13.8.

For the nth term of this arithmetic sequence, we have:

aₙ =  a₁ + (n - 1)d

aₙ =  -7.4 + (n - 1)-13.8

aₙ =  -7.4 - 13.8(n - 1)

aₙ =  -7.4 - 13.8n + 13.8

aₙ =  6.4 - 13.8n

aₙ =  aₙ₋₁ - 13.8, where a₁ = -7.4

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Answer:

a strong and almost perfect positive linear correlation.

Answer:

3°

Step-by-step explanation:

33 +19x = 90     subtract 33 from both sides of the equation

19x = 57             divide both sides by 19

x = 3°

False.

A 95% confidence interval does not mean that 5% of the time the interval does not contain the true mean.

Instead, a 95% confidence interval implies that if we were to repeat the sampling process and construct confidence intervals multiple times, about 95% of those intervals would contain the true population mean. In other words, it provides a measure of our confidence or level of certainty that the interval we have calculated captures the true population parameter.

The 5% significance level associated with a 95% confidence interval refers to the probability of observing a sample mean outside the confidence interval when the null hypothesis is true, not the probability of the interval not containing the true mean.

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