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The unit price of 24 oz can of soup is $0.2

8 oz can of soup cost $1.75

24 oz can of soup cost $4.90

The unit price of 24 oz can of soup can be calculated as follows

24= 4.90

1= x

Cross multiply both sides

24x= 4.90

Divide by the coefficient of x which is 24

24x/24= 4.90/24

x= 0.2

Hence the unit price of 24 oz can of soup is $0.2

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Answer:130

Step-by-step explanation:\

The measures of the acute angles are 3x = 54° and 2x = 36°

An acute angle is an angle that the measure is less than 90 degrees, such angles fall between 0° to 90°.

The right triangle have two acute angles wish are 3x and 2x

2x + 3x + 90° = 180° {sum of interior angles of a triangle}

5x + 90° = 180°

5x = 180° - 90° {subtract 90° from both sides}

5x = 90°

x = 90°/5 {divide through by 5}

x = 18

Therefore, the acute angles are derived to be:

2x = 2(18) = 36°

3x = 3(18) = 54°.

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The correct statement for using the cumulative distribution function (cdf), F(x), to solve the probability P(X<12) is: F(12) - F(11), We subtract the cdf value at x-1 from the cdf value at x.

The cumulative distribution function (cdf), denoted as F(x), gives the probability that a random variable X takes on a value less than or equal to x. In this case, we are interested in finding the probability that X is less than 12, which can be expressed as P(X<12).

To calculate this probability using the cdf, we need to find the difference between the cdf values at 12 and 11. The cdf value at 12, denoted as F(12), gives the probability that X is less than or equal to 12. Similarly, the cdf value at 11, denoted as F(11), gives the probability that X is less than or equal to 11.

Since we want to find the probability that X is strictly less than 12, we subtract the probability that X is less than or equal to 11 from the probability that X is less than or equal to 12. Mathematically, this can be written as F(12) - F(11).

Therefore, the correct statement for using the cdf to solve P(X<12) is F(12) - F(11).

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Answer:

30%

Step-by-step explanation:

because you use %

so that is why i think but i am not sure

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

Their sum plus their product has a maximum potential value of 420.

Given that the product of the two positive numbers and their sum is 39.

The highest feasible value of the total of their products must be determined.

Let's tackle this issue step-by-step:

Assume x and y are the two positive integers.

The product's sum is xy, while the two integers' sum is x + y.

The answer to the issue is 39, which is the product of the two integer sums and their sum.

\(\mathrm{xy + (x + y) = 39}\)

We need to maximize the value of to discover the biggest feasible value of the product of their sum and their product \(\mathrm {(x + y) \times xy}\).

Now, we can proceed to solve the equation:

\(\mathrm {xy + x + y = 39}\)

To make it easier to solve, we can use a technique called "completing the square":

Add 1 to both sides of the equation (1 is added to "complete the square" on the left side):

\(\mathrm {xy + x + y + 1 = 39 + 1}\)

Rearrange the terms on the left side to form a perfect square trinomial:

\(\mathrm{(x + 1)(y + 1) = 40}}\)

\(\mathrm{(x + 1)(y + 1) = 2 \times 2 \times 2 \times 5 }}\)

Now, we want to maximize the value of \(\mathrm {(x + y) \times xy}\), which is equal to \(\mathrm{(x + 1)(y + 1) + 1}\)

Finding the two positive numbers (x and y) whose sum is as close as feasible to the square root of 40, or around 6.3246, is necessary to maximize this value.

The two positive integers whose sum is closest to 6.3246 are 5 and 7, as 5 + 7 = 12, and their product is 5 × 7 = 35.

Finally, \(\mathrm {(x + y) \times xy}\)

= \((5 + 7) \times 5 \times 7\)

= 12 × 35

= 420

So, the largest possible value is 420.

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Answer:

Step-by-step explanation:

The answer would be 6 because you would count the distance like it says!

Let f(x) = y

y = log3(x+1) - 1

Plug x in y and y in x

x = log3(y+1) - 1

x + 1 = log3(y+1)

3^(x+1) - 1 = y

\(y = 3^{x+1}\) - 1

This is the inverse function.

Hope it helps! xxxx

Answer:

y = \(3^{(x+1)}\) -1

Step-by-step explanation:

x = \(log_{3}\)(y + 1) - 1

x + 1 = log₃(y + 1)

\(3^{(x+1)}\) = y + 1

\(3^{(x+1)}\) -1 = y

Answer:

4/8 or 1/2

Step-by-step explanation:

Divide among 8 because its eight children

Answer:

H

Step-by-step explanation:

I don't know if I did it wrong because I got 4,206.27 but I probably did

Answer: 27.61, 12.94, 23.85 units in order

Step-by-step explanation:

The sine rule states that the ratio between the length of a side of a triangle and the sine of the angle opposing the length will be the same for the same triangle.

Q13 From the rule, we can get the equation  \(\frac{x}{sin(90)} = \frac{17}{sin(38)}\) and from here we can solve for x which is 27.61 units

Q15 For this one, we can find the angle opposing the 12-unit length by taking 180° and subtract by the two known angles to get 68° and we can get the equation   \(\frac{x}{sin(90)} = \frac{12}{sin(68)}\) and solve for x which is 12.94 units

Q17 Same thing with Q13,   \(\frac{x}{sin(90)} = \frac{20}{sin(57)}\) and x is 23.85 units

The surface area of trapezoidal prism would be =1,098cm²

To calculate the area of the trapezoidal prism, the formula that should be used is given as follows. That is;

The surface area= (a+b) × h + LSA

But the Lateral surface area (LSA)= (a+b+c)×L

Where:

a = 14cm

b = 20cm

c = 12 cm

L= 15cm

h = 12cm

LSA = (14+20+12 )×15

= 46×15

= 690cm²

Therefore the surface area = (14+20)×12+690

= 408+690

=1,098cm²

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The solution to the system of equation {x + y = 1, 3x - y = 7 } using augmented matrices is ( 2,-1 ).

Given the system of equation in the question;

x + y = 1

3x - y = 7

First, we write the system of equation in matrix form.

\(\left[\begin{array}{ccc}1&1&1\\3&-1&7\\\end{array}\right]\)

Next, we find the reduced row echelon form

Row operation R₂ = R₂ - 3R₁ to make the entry at 2, 1 a 0.

\(\left[\begin{array}{ccc}1&1&1\\3-3*1&-1-3*1&7-3*1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&-1\4&4\\\end{array}\right]\)

Next, multiply each element of R₂ by -1/4 to make the entry at 2, 2 a 1.

\(\left[\begin{array}{ccc}1&1&1\\-\frac{1}{4}*0 &-\frac{1}{4}*-4 &-\frac{1}{4}*4 \\\end{array}\right] \\\\\left[\begin{array}{ccc}1&1&1\\0&1&-1\\\end{array}\right]\)

Now, perform the operation, R₁ = R₁ - R₂, to make the entry at 1,2 a 0.

\(\left[\begin{array}{ccc}1-0&1-1&1+1\\0&1&-1\\\end{array}\right] \\\\\left[\begin{array}{ccc}1&0&2\\0&1&-1\\\end{array}\right]\)

Using the result from the matrix, x = 2 and y = -1.

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The term "solution set" refers to the collection of all possible solutions to an equation thus  {x|x≤4.5} holds it . The value is a solution because the equation holds true if both sides are equal.

Option B is correct.

The distinct items that make up a set are referred to as the set's members or elements. Set notation is a method for representing a set using a combination of symbols and numbers, and it can be used to define sets. "x | -5 x 4.5" is another way to show the solution set of the inequality -5 x 4.5 on a number line. Interval notation is the method by which all real numbers between two given values can be represented. The solution set can be read as "x such that -5 is less than x and x is less than or equal to 4.5" because "|" denotes "such that" and the vertical line denotes "and."

When the lines coincide and have the same y-intercept, the number of solutions to an equation system is infinite. If the slope and y-intercept of the two lines are the same, they are in fact on the same exact line.

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Answer:

9

Step-by-step explanation:

There is a 1:8 ratio of sparkling soda to fruit punch, which means that for every one cup of sparkling soda, there will be eight cups, or two quarts (there are four cups in a quart), of fruit punch.

This means that if you had one quart of sparkling soda, you would need to add eight quarts of fruit punch- 1:8. 1 + 8 is 9, so in total, you would have 9 quarts of beverage.

The inequality √17 > 239/58 correctly compares one rational number and one irrational number.

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

As per option (A),

4π/3 and √17

The values of the above number are 4.1887 and 4.1231

Thus, 4π/3 < √17

So, given inequality 4π/3 > √17 is not true.

As per option (B),

4.\(\bar{19}\) and 239/58

The values of the above number are 4.1919 and 4.1206

Thus, 4.\(\bar{19}\) < 239/58

So, given inequality 4.\(\bar{19}\) > 239/58 is not true.

As per option (C),

√17 and 239/58

The values of the above number are 4.1231 and 4.1206

Thus, √17 > 239/58

This inequality is true.

Therefore, the inequality √17 > 239/58 correctly compares one rational number and one irrational number.

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The answers to the geometry questions attached are :

5.)

UW = 6x - 35

UW = UV + VW (total length of a line segment)

UV = 19

VW = 4x - 20

6x - 35 = 19 + 4x - 20

6x - 4x = 19 - 20 + 35

2x = 34

x = 34 / 2

x = 17

UW = 6x - 35 = 6(17) - 35 = 67

6.)

HJ = 7x - 27

HJ = HI + IJ (total length of a line segment)

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = - 5 - 1 + 27

3x = 21

x = 21 /3

x = 7

7.)

BD = 7x - 10

BC = 4x - 29

CD = 5x - 9

BD = BC + CD (total length of a line segment)

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = - 29 - 9 + 10

-2x = - 28

x = 14

BD = 7(14) - 10 = 88

BC = 4(14) - 29 = 27

CD = 5(14) - 9 = 61

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Using Baye's theorem,  the probability that a randomly selected job applicant who tests positive is a drug user is approximately 0.2332, or 23.32%

Let's define the events:

A: Applicant is a drug user

B: Applicant tests positive

We are given the following information:

P(A) = 0.09 (probability that a potential hire is a drug user)

P(B|A) = 0.77 (sensitivity or true positive rate)

P(B|A') = 0.25 (complement of sensitivity, false negative rate)

P(A') = 1 - P(A) = 1 - 0.09 = 0.91 (probability that a potential hire is not a drug user)

P(B|A') = 0.75 (specificity or true negative rate)

We need to find P(A|B), which is the probability that the applicant is a drug user given that they tested positive.

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

Substituting the given values:

P(B) = (0.77 * 0.09) + (0.25 * 0.91) = 0.0693 + 0.2275 = 0.2968

Now we can calculate P(A|B):

P(A|B) = (0.77 * 0.09) / 0.2968 = 0.0693 / 0.2968 ≈ 0.2332

Therefore, the probability that a randomly selected job applicant who tests positive is a drug user is approximately 0.2332, or 23.32%.

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Answer:

No

Step-by-step explanation:

You can't use the perpendicular bisector theorem because it doesn't intersect it at a right angle, (meaning it isn't perpendicular)

Answer:

1

Step-by-step explanation:

Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3

Answer:

1

Step-by-step explanation:

they are both co-prime (numbers that have a common factor of only 1)

The inputs which are required mention below in descriptive.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.

(a) The rules are functions because each input has only one output. You can test this out, it's true.

(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Additionally, there are only data points at the integer values of x. Look at part c.

(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.

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1. The critical numbers of f(x)=4+1/3x−1/2x^2 are x=-1 and x=2.

To find the critical numbers of a function, we need to determine the values of x for which the derivative is either zero or undefined. In this case, we have f(x)=4+1/3x−1/2x^2, and we need to find the derivative, f'(x).

Taking the derivative of f(x), we get f'(x) = 1/3 - x. To find the critical numbers, we set f'(x) equal to zero and solve for x:

1/3 - x = 0

x = 1/3

Therefore, x=1/3 is a critical number of the function.

Next, we check for any values of x where the derivative is undefined. In this case, there are no such values, as the derivative is defined for all real numbers.

Hence, the critical number of f(x)=4+1/3x−1/2x^2 is x=1/3.

However, it's worth noting that there is a mistake in the provided function. The correct function should be f(x) = 4 + (1/3)x - (1/2)x^2. I will use this corrected function for the explanation below.

To find the critical numbers, we need to find the values of x where the derivative of the function is either zero or undefined.

The derivative of f(x) can be found by applying the power rule and the constant rule: f'(x) = (1/3) - x.

Setting f'(x) equal to zero and solving for x gives us:

(1/3) - x = 0

x = 1/3

So, x = 1/3 is a critical number of the function.

There are no values of x for which the derivative is undefined since the derivative is defined for all real numbers.

Therefore, the critical number of f(x) = 4 + (1/3)x - (1/2)x^2 is x = 1/3.

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Answer:

It is not clear what you mean by "pre-image" in this context. However, based on the given information, we can say that the second triangle is a dilation of the first triangle.

A dilation is a transformation that changes the size of an object, but not its shape. In this case, the second triangle has the same shape as the first triangle, but its sides are scaled up by a factor of 8/3, which is greater than 1. Therefore, the second triangle is an enlargement (or a magnification) of the first triangle.

Answer: Your welcome!

Step-by-step explanation:

The transformation of the triangle is a reduction. This is because the side of the triangle that was 3 cm has been reduced to 8 cm, while the other two sides have stayed the same. This reduction has resulted in the triangle being smaller than the original triangle.

The probability that a household watches more than 3 hours of television a day is 0.0478.

The mean daily viewing time of television is 8 hours per household. Use a normal probability distribution with a standard deviation of 3 hours to answer the following questions about daily television viewing per household.

(a) Probability that a household views television between 5 and 11 hours a day:P(5 < x < 11) = P(z < (11-8)/3) - P(z < (5-8)/3) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826(b) Hours of television viewing must a household have in order to be in the top 3% of all television viewing households:

The top 3% of all households correspond to z = 1.88. Therefore, the number of hours that a household must watch television to be in the top 3% is:1.88 = (x - 8) / 3x - 8 = 5.64x = 13.64

(c) Probability that a household views television more than 3 hours a day:P(x > 3) = P(z < (3-8)/3) = P(z < -5/3) = 0.0478.the probability that a household watches more than 3 hours of television a day is 0.0478.

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The sample size is most affected by construct validity.

The larger the sample size, the better the construct validity.

Here's an explanation: Validity refers to the degree to which an instrument or test accurately measures the concept it is supposed to assess.

It is crucial to have a valid measure for any type of research, but one of the significant factors that can affect validity is the sample size.

A construct is a theoretical concept that cannot be directly measured, and researchers usually create measures that capture and assess the construct indirectly.

As such, the measures' construct validity ensures that the assessment instrument measures what it is supposed to measure.

Researchers use construct validity to evaluate the instrument's accuracy in measuring the construct's concept.

Construct validity has a more significant impact on sample size since the sample size is a crucial factor in measuring the construct.

It is because a larger sample size increases the likelihood of having diverse perspectives and differences in opinion. Having a large number of participants ensures that the measure covers all aspects of the concept and reduces the risk of bias due to individual differences.

Therefore, construct validity is most affected by sample size, and having a larger sample size enhances the construct validity of the study.

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What is most affected by sample size? Does It Primarily Affect Internal Validity?

Answer:

sine=opposite/hypotenuse

sin52.2=x/150

sin0.790=x/150

x=118.5

in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.

When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.

Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.

Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.

Candidate a assumes that the price effect would be larger than the quantity effect.

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The velocity of the oxygen molecule at room temperature is 482 m/s.

The kinetic energy of an oxygen molecule at room temperature (300 K) is determined.

The mass of an oxygen molecule is 5.31 × 10-26 kg. As per the statement, the kinetic energy of the oxygen molecule at room temperature is 6.21 × 10-21 J.Kinetic energy

The kinetic energy of an object is the energy that it possesses because of its motion. It is a scalar quantity and has units of joules (J) in the SI system.

The formula for the kinetic energy of an object is given by 1/2mv²,

where m is the mass of the object, and v is its velocity.

The kinetic energy of a gas is calculated using the root mean square velocity of the molecules. RMS velocityRMS velocity is the square root of the average of the square of the velocities of the gas molecules.

It is calculated using the formula vrms = √(3RT/M)

where R is the ideal gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas. We can obtain the velocity of a single molecule of gas by dividing the RMS velocity by the square root of Avogadro's number.

Here, we have a single oxygen molecule, so we can directly calculate its velocity from the RMS velocity. From the kinetic energy formula, we can get the velocity of the molecule, which is given by √(2KE/m)

Substitute the given values, we get,

Velocity of the molecule = √(2 × 6.21 × 10-21/5.31 × 10-26)= 482 m/s

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