The difference of two numbers is 3. Their sum is 13. Which pair of equations can be used to determine, X, first number, and y, second number.

i just need the answer!

Null Hypothesis: The population mean is equal to 15. (H0: μ = 15)

Alternative Hypothesis: The population mean is not equal to 15. (HA: μ ≠ 15)

In hypothesis testing, the null hypothesis is assumed to be true until there is enough evidence to reject it. The alternative hypothesis is what the researcher wants to prove or find evidence for. In this case, the researcher wants to find out whether the population mean is different from 15 or not. If the sample data provides sufficient evidence to reject the null hypothesis, then the researcher can conclude that the population mean is different from 15. On the other hand, if the sample data does not provide enough evidence to reject the null hypothesis, then the researcher cannot conclude that the population mean is different from 15.

Learn more about  hypotheses

brainly.com/question/18064632

#SPJ11

Answer:

180 eggs is the correct amount.

The statement that is true of the sample size for nonprobability samples is that it is typically small.

Nonprobability sampling methods are often used when it is not feasible or practical to obtain a large sample that is representative of the population.

Nonprobability samples are selected based on criteria other than random selection, such as convenience, judgment, or purposive sampling. These methods are commonly used in qualitative research or when studying hard-to-reach populations.

Since nonprobability samples do not guarantee representativeness, the focus is often on in-depth exploration rather than generalization to a larger population. As a result, researchers often work with smaller sample sizes that are more manageable and allow for in-depth analysis of the selected cases or individuals.

To learn more about nonprobability click here:

brainly.com/question/29062631

#SPJ11

The two equations that represent a shift of the graph are  y=(x-12)³ and y=(x+8)³.

What is an equation?

Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.

The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.

=> y=(x-12)³

=> y=(x+8)³

Therefore , the solution of the given problem of equation comes out to be  y=(x-12)³ and y=(x+8)³.

To know more about equation visit:

https://brainly.com/question/19040584

#SPJ1

Judging by the given polar plots, we have

\(z = e^{i\,16\pi/12} = e^{i\,4\pi/3}\)

\(w = e^{i\,10\pi/12} = e^{i\,5\pi/6}\)

Then

\(z + w = e^{i\,4\pi/3} + e^{i\,5\pi/6} \\\\ ~~~~~~~~ = e^{i\,5\pi/6} \left(e^{i\,\pi/2} + 1\right) \\\\ ~~~~~~~~ = e^{i\,5\pi/6} (1 + i) \\\\ ~~~~~~~~ = (1 + i) w\)

Compute the modulus and argument.

\(|z + w| = |1+i| |w| = \sqrt2\)

\(\arg(z+w) = \arg(1+i) + \arg(w) = \dfrac\pi4 + \dfrac{5\pi}6 = \dfrac{13\pi}{12}\)

or equivalently, -11π/12, to ensure the argument is between -π and π. So we have

\(z + w = \sqrt2 \, e^{-i\,11\pi/12}\)

Then by de Moivre's theorem,

\((z + w)^9 = \left(\sqrt2 \, e^{-i\,11\pi/12}\right)^9 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^9\,e^{-i\,99\pi/12} \\\\ ~~~~~~~~ = 2^{9/2}\,e^{-i\,\pi/4} \\\\ ~~~~~~~~ = 2^{9/2} \left(\cos\left(\dfrac\pi4\right) - i \sin\left(\dfrac\pi4\right)\right) \\\\ ~~~~~~~~ = 2^{8/2} - i\,2^{8/2} = \boxed{16 (1 - i)}\)

Answer:

Dyscalculia is a learning disorder that affects a person's ability to understand number-based information and math

The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:

Step 1: Symbolic Expression

The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.

Step 2: Removing Radical

To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).

So, the expression becomes (57^(1/8))^6.

Step 3: Simplifying Exponents

To simplify the exponent, we multiply the powers:

(57^((1/8)*6))

Simplifying further:

(57^(6/8))

Step 4: Fractional Form

The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(57^(3/4))

Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.

learn more about exponential expression here

https://brainly.com/question/26540624

#SPJ11

A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.

Hence, the zeroes of the functions are -2, 1, and 3.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

−1, 2, −3; continues downward to the left and upward to the right

Step-by-step explanation:

subtracting a positive number

4 - 2 = 2

Adding a negative number

4+ (-2) = 4 - 2 = 2

So they are not completely different operations.

Answer : FALSE

The permutation combination is 120 for 3 different topping pizzas are available.

Permutation Combination:

A variety of ways to select objects from a set, usually forming a subset without replacement. The selection of this subset is called a permutation if the order of selection is a factor, and a combination if the order is not a factor. The French mathematicians Blaise Pascal and Pierre de Fermat, in the 17th century, used many chances in his game of combinatorics and probability by considering the ratio of the number of required subsets to the number of all possible subsets stimulated the development of the theory.

The concepts of permutations and combinations and their differences can be illustrated by examining all the different ways of selecting pairs of objects from five identifiable objects such as the letters A, B, C, D and E.

According to the Question:

Given that :

Number of different toppings = 10

Number of Pizzas = 03

therefore,

The permutation  combination are :

                = 10!/7! 3!

                = 15 × 8

                = 120.

Therefore, there are 120 different combinations of toppings.

Learn more about Permutation Combination :

https://brainly.com/question/13387529

#SPJ4

Answer:

trinomial

Step-by-step explanation:

Given polynomial has three terms, therefore it is a trinomial.

The expression -2 to 4 f(x)/8 is asking for the average volume of the function f(x) over the interval [-2,4], divided by the length of the interval (which is 8). The value is -9.

Since we are given that the average value of f on the interval [-2,4] is 12, we can use the formula for the average value of a function over an interval:
average value = (1/b-a) * integral from a to b of f(x) dx
where a and b are the endpoints of the interval.
Plugging in the values for a, b, and the average value, we get:  12 = (1/4-(-2)) * integral from -2 to 4 of f(x) dx
Simplifying:  12 = (1/6) * integral from -2 to 4 of f(x) dx
Multiplying both sides by 6:  72 = integral from -2 to 4 of f(x) dx
Finally, we can plug this back into the original expression:  -2 to 4 f(x)/8 = (-1/8) * integral from -2 to 4 of f(x) dx
= (-1/8) * 72  = -9
Therefore, the value of -2 to 4 f(x)/8 is -9.

Learn more about average volume here, https://brainly.com/question/1082469

#SPJ11

Answer:

72\(\sqrt{3}\)

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \(\frac{1}{2}\) × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = \(\sqrt{3}\)

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{opp}{6}\) = \(\sqrt{3}\) ( multiply both sides by 6 )

opp = 6\(\sqrt{3}\) , then

d₂ = 2 × 6\(\sqrt{3}\) = 12\(\sqrt{3}\)

Thus

A = \(\frac{1}{2}\) × 12 × 12\(\sqrt{3}\) = 6 × 12\(\sqrt{3}\) = 72\(\sqrt{3}\)

The dimensions of the rectangular poster are 4 feet in width and 6 feet in height.

To find the dimensions of the rectangular poster with an area of 24 ft^2 and height being 6 feet less than three times its width, we can follow these steps:
Let the width of the poster be represented by the variable w (in feet).
According to the given information, the height of the poster is 6 feet less than three times its width. We can express this as: height = 3w - 6.
The area of a rectangle is calculated by multiplying its width and height. So, we have the equation: area = width * height.
Substitute the given area and the expression for height into the equation: 24 = w * (3w - 6).
Solve the equation for w:
24 = w * (3w - 6)
24 = 3w^2 - 6w
0 = 3w^2 - 6w - 24
Factor the equation:
0 = 3(w^2 - 2w - 8)
0 = 3(w - 4)(w + 2)
Solve for w:
w - 4 = 0 => w = 4
w + 2 = 0 => w = -2 (discard this solution, as width cannot be negative)
Now that we've found the width (w = 4 feet), we can find the height by substituting w back into the height equation:
height = 3w - 6
height = 3(4) - 6
height = 12 - 6
height = 6 feet
So, the dimensions of the rectangular poster are 4 feet in width and 6 feet in height.

for more questions on rectangular

https://brainly.com/question/19819849

#SPJ11

Considering the table given, it is found that function g(x) is most likely an exponential function.

An exponential function is modeled by:

\(y = ab^x\)

In which:

From this, we get that when x changes by 1, the value of y is multiplied by a constant, and this constant is b, which is the rate of change.

From the given functions, when x changes by 1, in g(x) the function is multiplied, hence function g(x) is most likely an exponential function.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Therefore , the solution of the given problem of ratio comes out to be  8:17 .

The simple formula "a / b," where "b" may be greater than zero, can be used to determine a group of integers "a" and "b" that appear to be equal. Two ratios are combined to form a ratio. If there were only one man and three ladies, the fraction would be 1:1. In the group, there are 3/4 women and 1/4 males. Parts can be a division between things, a figure, or a particular percentage of a component's volume.

Here,

Let x be the price of plastic per square centimetre used to create visage A.

Consequently, the price of the components for aspect A is:

=> 4πx

The metal sector's size on face B is:

=>  (20/360)π(2cm)² = (1/9)π cm²

The plastic sector's size on face B is:

=>  (340/360)π(2cm)² = (17/9)π cm²

Face B's entire surface size is:

=>  (1/9)π + (17/9)π = 2π cm²

Let y be the plastic's expense per square centimetre used to create face B.

Consequently, the price per cm2 of the metal used to create face B is three and a half times the price per cm2 of the plastic, leading to:

=> (3/2)y = (3/2)(2x) = 3x

The material cost for the metal section on face B is inversely correlated with its area, so:

=>  (1/9)π(3x)

The price of the plastic used in the section on face B is inversely proportional to its area, so:

=>  (17/9)πy

=> 8πx : 17πy = 8 : 17

The response is 8:17,

To know more about ratio visit:

brainly.com/question/13419413

#SPJ1

The probability that Steve will get a nine on the next card he is dealt is 4/47.  Steve and Cathy are playing a card game with a standard deck of 52 playing cards. After Cathy is dealt an ace and a four and Steve is dealt a jack, there are 49 cards left in the deck. Out of the remaining cards, there are three aces.

If Steve gets an ace on the next card he is dealt, he will win. The probability of this happening is 3/49, as there are three aces left in the deck out of a total of 49 cards remaining.

After Steve gets a two and Cathy gets a five, there are now 47 cards left in the deck. The probability of Steve getting a nine on the next card he is dealt is 4/47, as there are four nines left in the deck out of a total of 47 cards remaining.

Learn more about card game here:

https://brainly.com/question/14965801

#SPJ11

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

-354+139

-215

So

Net charge

Negative charge and the amount is 215

Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

We have given the methods for proving triangles similar.

What are similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and their corresponding sides are in equal proportion.

Angle-Angle Similarity

A triangle is said to be similar to another triangle if any two of its three angles are equal to any two of its three angles.

If ∠ A = ∠X and ∠C = ∠Z then ΔABC ~ΔXYZ.

From the result obtained, we can easily say that,

AB/XY = BC/YZ = AC/XZ

and ∠B = ∠Y

Side-Angle-Side Similarity

If the two sides of a triangle are in the same proportion as the two sides of another triangle, and the angle inscribed by the two sides in both triangles are equal, then two triangles are said to be similar.

Thus, if ∠A = ∠X and AB/XY = AC/XZ then ΔABC ~ΔXYZ.

From the congruency,

AB/XY = BC/YZ = AC/XZ

and ∠B = ∠Y and ∠C = ∠Z

Side-Side-Side Similarity

If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.

From this result, we can infer that-

∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z

Hence, we have given the methods for proving triangles similar.

To learn more about similarity theorems of triangles, visit:

https://brainly.com/question/22472034

#SPJ4

18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

Learn more about Daily Fluid Requirements (DFR) here:

https://brainly.com/question/28334028

#SPJ4

Total number of flowers = 210

Carnations = c = $1.50

Roses = r = $5.75

Daisies = d = $2.60

d = r - 20

Total price = $667.5

Equation 1

1.5c + 5.75r + 2.6d = 667.5

Equation 2

c + r + d = 210

Equation 3

d = r - 20

Solve by substitution

1.5c + 5.75r + 2.6(r - 20) = 667.5

1.5c + 5.75r + 2.6r - 52 = 667.5

1.5c + 8.35r = 667.5 + 52

1.5c + 8.35r = 719.5

c + r + r - 20 = 210

c + 2r = 210 + 20

c + 2r = 230

Solve for c

x c = 230 - 2r

1.5(230 - 2r) + 8.35r = 719.5

345 - 3r + 8.35r = 719.5

5.35r = 719.5 - 345

5.35r = 374.5

r = 374.5/5.35

r = 70

e c = 230 - 2(70)

c = 230 - 140

c = 90

d = 70 - 20

d = 50

Billy ordered 70 roses, 90 carnations and 50 daisies.

5

345 - 3r + 8.35r = 719.5

5.35r = 719.5 - 345

5.35r = 374.5

r = 374.5/5.35

r = 70

e c = 230 - 2(70)

c = 230 - 140

c = 90

d = 70 - 20

d = 50

Billy ordered 70 roses, 90 carnations and 50 daisies.

Answer:

Living

Step-by-step explanation:

The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.

The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.

In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.

To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.

The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.

By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.

To calculate the UCL and LCL using ±3σ limits, we use the following formulas:

UCL = Mean + 3σ
LCL = Mean - 3σ

Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237

B) For data set B:
UCL = 7.82
LCL = 0

C) For data set C:
UCL = 8.382
LCL = 0

D) For data set D:
UCL = 7.82
LCL = -2.22

E) For data set E:
UCL = 9.112
LCL = 0

The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.

Learn more about statistical control limits click here :brainly.com/question/29512700

#SPJ11

Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?

A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.

Question

Juan deposited $2,250 in the bank to celebrate the birth of his son. After three years, he received his statement and the bank said he had $2,587.50 in the account.

How much interest did Juan earn in three years?

How much interest did Juan earn per year?

What was the interest rate?

Answer: GOOD LUCK

337 and 112.33

Answer:

337 and 112.33

Step-by-step explanation:

First answer is 337 u take the difference between the 2 numbers. And the interest is 112.33 per year u divide the interest by 3. I hope this helps.

The area of the cone that was painted black is given by 47.66 ft²

For a right circular cone of radius 'r', height 'h', and slant height 'l', we have; Curved surface area of the right circular cone = π r l. The total surface area of a right circular cone = π(r + l) r. The volume of a right circular cone = 1/3π r2 h.

Given here: The height of the cone is 12 feet and circumference of the base of the cone is 8π

We know the base of the cross section is always a circle.

Thus  we have

2πr=8π

2r=8

r=4

Now slant height of the cone is given using the pythagoraes theorem as follows

l=\(\sqrt{4^2+12^2}\)

=12.65 feet

Thus lateral surface area of the cone is L= πrl

                                                                   =3.14×4×12.65

                                                                   =158.884 ft²

Now we can infer from the question that 30% of the lateral surface area is painted black thus

Area painted black is = 30%×158.884

                                    =0.3×158.884

                                    =47.66 ft²

Hence, The area of the cone that was painted black is given by 47.66 ft²

Learn more about the cone here:

https://brainly.com/question/15584129

#SPJ1

Answer: 47.7

Step-by-step explanation:i took the quiz the guy on top is wrong

Answer: 16.12 or 16.1

Step-by-step explanation:

The horizontal distance is equal to 6.45ft.

Using trigonometric ratio SOHCAHTOA,

We have the values of

Using trigonometric ratio to solve this problem,

SOHCAHTOA,

we can easily use the cosine of the angle to find the adjacent side.

\(cos\theta = \frac{adjacent}{hypothenuse}\\ cos69 = \frac{adjacent}{18}\\ adjacent = 18cos69\\adjacent = 6.45ft\)

From the calculations above, the horizontal distance is equal to 6.45ft.

Learn more on trigonometric ratio here;

https://brainly.com/question/4326804