What is the remainder when the two-digit, positive integer x is divided by 3?
(1) The sum of the digits of x is 5
(2) The remainder when x is divided by 9 is 5

Answer:

  4 pieces each

Step-by-step explanation:

You want to know the number of $0.10 candies each brother can buy with his equal share of Karla's $1.44.

Each column of the diagram represents $0.10, the cost of one piece of candy. Then 3 columns represent 3 pieces, or one for each brother.

We can divide the shaded area into four (4) groups of 3 columns, representing 4 pieces of candy that each brother can buy. The remaining $0.24 will be divided so that each brother will have $0.08 left over after buying 4 pieces of candy.

Cinderella would weigh either 187 or 153 pounds this morning.

Unit cοnversiοn is the prοcess οf cοnverting a quantity expressed in οne unit οf measurement tο anοther equivalent quantity expressed in a different unit οf measurement. It invοlves using cοnversiοn factοrs that relate the twο units οf measurement. This is dοne by multiplying οr dividing the οriginal quantity by a cοnversiοn factοr, which is a ratiο οf the twο units οf measurement that is equal tο οne.

Cinderella's weight increased or decreased by 10%, we can find her weight this morning by multiplying her previous weight by 1.10 (to find a 10% increase) or 0.90 (to find a 10% decrease).

For a 10% increase, Cinderella's weight this morning would be:

170 x 1.10 = 187 pounds

For a 10% decrease, Cinderella's weight this morning would be:

170 x 0.90 = 153 pounds

So depending on whether her weight increased or decreased by 10%, Cinderella would weigh either 187 or 153 pounds this morning.

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Jennifer needs to sample at least 151 vets to achieve a standard error of the mean of 3.42 years or less.

The variability or uncertainty of a sample statistic, like the mean or proportion, is measured by standard error. It represents the sample distribution's standard deviation for that statistic. In other words, it calculates the amount by which chance is likely to cause the sample statistic to deviate from the actual population parameter.

The calculation of the standard error is based on the particular statistic being produced as well as the characteristics of the sampled population. For instance, the population's standard deviation is divided by the square root of the sample size to determine the standard error of the mean. If p is the estimated proportion based on the sample, then the standard error of a proportion is determined as (p * (1 - p)) divided by the square root of the sample size.

A population parameter estimate that has a lower standard error is more accurate. Inferential statistics frequently employ the standard error to compute confidence intervals and test population parameter-related hypotheses.

The formula for the standard error of the mean can be used to get the approximate number of veterans Jennifer needs to sample:

[tex]SE = / \sqrt{n}[/tex]

where n: sample size, delta: age standard deviation, and SE: standard error of the mean.

In this instance, we are aware that = 22 years and SE = 3.42 years. As we solve for n, we obtain:

[tex]n = (delta / SE)^2 n = (22 / 3.42)^2 \sn = 150.39[/tex]

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The ratio of QR to ST in the triangle is 5/7

Three angles and the three sides of a triangle are equal to the corresponding angles and the corresponding sides of another triangle, then both the triangles defined as congruent.

To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five condition for two triangles to be congruence,  according to  the trials. The congruence qualities are SSS, SAS, ASA, AAS, and RHS.

PQR and PST are congruent

So PQ/PS=QR/ST

We know that

PQ=10

PS=14

QR/ST=10/14

QR/ST=5/7

hence, the ratio of QR to ST in the triangle is 5/7.

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The approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%

To find the approximate percent decrease in the number of customers from Saturday to Sunday, we first need to calculate the decrease in the number of customers:

Decrease = Saturday customers - Sunday customers

Decrease = 135 - 90

Decrease = 45

The percent decrease can be found by taking the decrease as a percentage of the original value (Saturday customers):

Percent decrease = (Decrease / Saturday customers) x 100%

Percent decrease = (45 / 135) x 100%

Percent decrease = 33.33%

Rounding to the nearest percent, we get that the approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%.

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Your question is incomplete, but probably the complete question is :

You work as a cashier in a supermarket. On Saturday, you had 135 customers. On Sunday, you had 90 customers. What is the approximate percent decrease in the number of customers from Saturday to Sunday?

33%

45%

50%

90%

225%

Answer:

Step-by-step explanation:

From the parallel lines, we know that corresponding angles are congruent, so:

(2y+78) = X

We also know that vertically opposite angles are equal:

X=5y

Substitute for X:

2y+78=5y

Solve:

2x-5x=-78

-3x=-78

x=26

Therefore, the measure of angle WXZ is 26.

The probability that the project will take 224 days or more to complete is: 0.1587

The project is being analyzed by PERT, it has 60 activities, out of which 13 are on the critical path. The estimated time along the critical path is 214 days with a project variance of 100. We are required to find the probability that the project will take 224 days or more to complete.

Now, z-score = (x - μ) / σ = (224 - 214) / 10 = 1.

So, using the standard normal table, we have: P(Z > 1) = 1 - P(Z < 1) = 1 - 0.8413 = 0.1587.

Hence, the required probability that the project will take 224 days or more to complete is 0.1587.

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Tyler has run 10.4 miles, which is 65% of the total distance he plans to run this week. Tyler plans to run a total of 16 miles this week.

Let's use "x" to represent the total distance that Tyler plans to run this week. According to the problem, Tyler has already run 10.4 miles, which is 65% of the total distance he plans to run. We can set up an equation to represent this information:

10.4 = 0.65x

To solve for x, we can divide both sides of the equation by 0.65:

x = 10.4 ÷ 0.65

x = 16

Therefore, the total distance that Tyler plans to run this week is 16 miles.

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The vοlume οf the cοne is 156π cubic units

A cοne is a three-dimensiοnal geοmetric fοrm with a flat base and a smοοth tapering tip οr end. A cοne is made up οf a cοllectiοn οf line segments, half-lines, οr lines that link the apex—the cοmmοn pοint—tο every pοint οn a base that is in a plane οther than the apex.

Given,

h = 13 units and r = 6 units

We knοw the fοrmula tο determine vοlume οf cοne; that is

(1/3)πr²h

Where r= radius οf the cοne

h=  height οf the cοne

We put the value οf h and r in the fοrmula

(1/3)πr²h

= (1/3)π6² *13

=156π cubic units

The vοlume οf the cοne is 156π cubic units

Hence the cοrrect answer is 156π cubic units

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Answer:

There is a [tex]\frac{1}{24}[/tex] chance that Sara will be picked.

There is a 4.16% chance that Sara will be picked.

Step-by-step explanation:

there are 12 boys + 12 girls in Mooney's class => 24 total students

Sara is ONE out of those students

Sara is [tex]\frac{1}{24}[/tex].

[tex]\frac{1}{24}[/tex] as a percent is 4.16%.

The functions when ordered from narrow to wide is g(x) = 4x², h(x) = 2x² and f(x) = (1/3)x²

The width of the graph of a quadratic function is determined by the coefficient of the squared term.

The greater the value of this coefficient, the narrower the graph, and vice versa.

So, in order of increasing width, we have:

g(x) = 4x²

h(x) = 2x²

f(x) = (1/3)x²

f(x) has the widest graph because its coefficient is the smallest, followed by h(x), and g(x) has the narrowest graph because its coefficient is the largest.

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By the 46th day, there are 400 water lilies in the pond. the estimate you made: a). close to 46 (or exactly right) because it was estimated well.

We know that the regression equation is: y = 3.915(1.106)ˣ and that the pond can hold 400 water lilies.

y = 3.915(1.106)ˣ

Here, y is equal to the number of water lilies the pond can hold.

So, y = 400

And,  x is the required time taken.

So,

400 = 3.915(1.106)ˣ

⇒ (1.106)ˣ = 400/3.915    

⇒ (1.106)ˣ = 102.17

Taking logarithm on both sides, we get

log (1.106)ˣ = log (102.17)

⇒ x log (1.106) = log (102.17) .............. [log aˣ = x loga]

⇒ x = [log (102.17)/log (1.106)]    

⇒ x = 45.92

x ≅ 46

So, the pond will take 46 days to become full.

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Complete question:

Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.

Answer:

b

Step-by-step explanation:

just did it

The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.

As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.

The ocean water rises upto 5.5 feet during a storm

Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.

If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.

You just subtract the combined height of the storm and the highest tide from the height of the beach.

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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.

Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.

Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{2}[/tex] x - 2 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

• Parallel lines have equal slopes , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 4, - 1 ) into the partial equation

- 1 = - [tex]\frac{1}{2}[/tex] (- 4) + c = 2 + c ( subtract 2 from both sides )

- 3 = c

y = - [tex]\frac{1}{2}[/tex] x - 3 ← equation of parallel line

Extrapolation is a useful tool for predicting future values based on past data

Bethany used a method of predicting future values from past values known as extrapolation. Extrapolation is a powerful tool for predicting future values, but it is important to remember that it only works if the underlying trend in the data does not change. In Bethany's case, she is making an assumption that her income over the next 10 years will follow the same trend as it did in the past 5 years.

In extrapolation, the assumption is that the data points that were observed in the past will continue in the same direction and with the same intensity into the future. Therefore, extrapolation can be used to make predictions about future values even when no new data points have been collected. It is important to remember, however, that any predictions made using extrapolation are only estimates and may not be accurate.

Extrapolation is used in many different fields, such as finance, economics, medicine, engineering, and even weather forecasting. For example, stock analysts may use extrapolation to make predictions about future stock prices based on past prices. Similarly, meteorologists may use extrapolation to make predictions about future weather conditions based on historical weather data.

Overall, extrapolation is a useful tool for predicting future values based on past data. However, it is important to remember that it only works when the underlying trend in the data does not change. Additionally, any predictions made using extrapolation are only estimates and may not be accurate.

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The solution of the system 2 -1 5 with -2 -1 in real form is (x, y) = (7/4, 7/2).

To solve the system with the given coefficients, first, let's rewrite it as a linear system of equations:

2x - y = 5
-2x - y = -2

Now, let's solve this system step-by-step:

Step 1: Solve for y in the first equation:
y = 2x - 5

Step 2: Substitute the expression for y from Step 1 into the second equation:
-2x - (2x - 5) = -2

Step 3: Simplify and solve for x:
-2x - 2x + 5 = -2
-4x = -7
x = 7/4

Step 4: Substitute the value of x back into the expression for y:
y = 2(7/4) - 5
y = 7/2

The solution in real form is (x, y) = (7/4, 7/2).

Regarding the ellipse with counterclockwise orientation, the trajectory can be described as a smooth, closed curve in the shape of an ellipse. The ellipse will have a major and minor axis, with the points on the ellipse moving continuously in a counterclockwise direction along the curve.

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Brenna is buying 15 tomato plants for her garden, because she uses a lot of cherry tomatoes when she cooks. The inequality models the this story is equals to c< 7. So, correct option is option (b). The graph for inequlity to model the story is present in above figure.

Inequality refers a relationship between two values that are not equal, i.e., a<b. We have, brenna bought 15 tomato plants for her garden. At a time of cooking , she used a lot of cherry tomatoes. So, she wants a variety of tomato plants. She has decided to buy fewer than 7 cherry tomato plants for garden. Let c be the number of cherry tomato plants bought by brenna. Now, as we know cherry tomato plants come into the tomato plants, so c< 15 . Also, she plans to buy cherry plants less than 7, so c < 7. That is we have to choices for inequlity, c < 15 or c< 7. But we know if a number is less than 7 then trivially, it is less than 15 ( 7< 15), so we use the c< 7, Inequality to model the story. The graph of this inequlity that models the story is present above in figure. Hence, required inequalty is c< 7.

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Complete question:

Brenna is buying 15 tomato plants for her garden. she uses a lot of cherry tomatoes when she cooks, but she wants a variety of tomato plants. brenna plans to buy fewer than 7 cherry tomato plants. let c represent the number of cherry tomato plants brenna might buy. which inequality models the story?

a) c> 7

b) c< 7

c) c>15

d) c<15

See the above Graph and find out the inequality that models the story. To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Using the stars and bars technique, Candice can distribute her 24 pieces of candy among her four siblings in 2,925 different ways. If she must give each sibling at least one of each type of candy, there are 67,200 ways to distribute the candy among the four siblings.

(A) To solve this problem, we can use the technique of stars and bars. We have a total of 24 pieces of candy to share among four children. We can represent this using 24 stars, with 3 bars to separate the stars into four groups, one for each child. For example, the following arrangement represents giving 6 pieces of candy to the first child, 10 pieces to the second child, 3 pieces to the third child, and 5 pieces to the fourth child:

*****|**********|***|****

The number of ways to arrange the stars and bars is equal to the number of ways to choose 3 positions out of the 27 possible positions for the stars and bars. Therefore, the number of different ways that Candice can share her candy with her three younger brothers is:

C(27, 3) = 27! / (3! * 24!) = 2925

(B) Now, we need to ensure that each child receives at least one Tootsie roll and one Twizzler. We can give each child one of each candy to start, and then distribute the remaining 13 Tootsie rolls and 7 Twizzlers using the stars and bars technique. We have 13 Tootsie rolls and 7 Twizzlers to distribute among four children, which can be represented using 13 stars and 3 bars for the Tootsie rolls, and 7 stars and 3 bars for the Twizzlers. The number of ways to arrange the stars and bars for each type of candy is:

C(16, 3) = 560 for the Tootsie rolls

C(10, 3) = 120 for the Twizzlers

To find the total number of ways to distribute the candy, we can multiply the number of ways for each type of candy:

560 * 120 = 67200

Therefore, there are 67,200 different ways for Candice to share her candy with her three younger brothers after her mother asks her to give at least one of each type of candies to each of her brothers.

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Complete question:

After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her mother asks her to share some of the loot with her three younger brothers.

(A) How many different ways can she do this?

(B) How many different ways can she do this after her Mother asks her to give at least one of each type of candies to each of her brothers?

An access control list (ACL) specifies which subjects and objects users or groups can access.

An Access Control List (ACL) is a term used to describe a security mechanism that regulates who has access to an object in a computing system. An Access Control List (ACL) is a type of file that contains the names of people or groups of individuals who are allowed or denied access to a system resource.

ACLs are one of the most widely used security measures in computer networks today, and they are used to establish access control policies for network resources such as files, folders, devices, or services. This list is compiled on the basis of the requirements and policies of the security team in place.
The access control list (ACL) is a security feature that allows administrators to define and manage the permissions and rights for different users or groups to access specific resources, such as files, directories, or applications. Implementing an ACL helps to ensure proper security and privacy in a system or network.

The access control list (ACL) is correct in the blanks.

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for the angle measures where cos(0) = 0, sin(x) equals 1 for π/2 radians and -1 for 3π/2 radians.

cos(0) = 0 when the angle is π/2 or 3π/2 radians.

To label the corresponding points on the unit circle, we can use the following conventions:

The angle 0 radians (or 0 degrees) starts at the positive x-axis and goes counterclockwise.

The angle π/2 radians (or 90 degrees) is at the positive y-axis.

The angle π radians (or 180 degrees) is at the negative x-axis.

The angle 3π/2 radians (or 270 degrees) is at the negative y-axis.

So, for cos(0) = 0, the corresponding angle measures are π/2 and 3π/2 radians. On the unit circle, these correspond to the points (0, 1) and (0, -1), respectively.

the values of sin(x) for these angle measures:

sin(π/2) = 1

sin(3π/2) = -1

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The zeroes of the factored polynomial as required to be determined in the task content are: x = -6 and x = 8.

It follows from the task content that the zeroes of the completely factorised polynomial are to be determined.

Since the given polynomial is; x² - 2x - 48 which has been factorised completely to; (x + 6) (x - 8).

Ultimately, the zeroes of the Polynomial are as follows;

x + 6 = 0; x = -6.

and

x - 8 = 0; x = 8.

Conclusively, the zeroes of the polynomial are; x = -6 and x = 8.

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Answer:

27 cubic units

Step-by-step explanation:

Since each small cube is a unit cube, then each small cube has side length 1 unit. Each side of the Rubik's cube has length 3 units.

V = s³ = 3³ = 27

Answer: 27 cubic units

The size of angle DAB in the quadrilateral is 49°.

The sum of the interior angles of a quadrilateral is 360°. We can say:

∠A + ∠B + ∠C + ∠D = 360°

∠A + 34° + ∠C + 228° = 360°

∠A  + ∠C + 262° = 360°

∠A  + ∠C = 360 - 262

∠A  + ∠C = 98

Since angles DAB and BCD are the same size. This implies ∠A  = ∠C. Thus:

∠A  + ∠A = 98

2∠A  = 98

∠A = 98/2

∠A  = 49°

Therefore, the size of angle DAB is 49°.

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Complete Question

Check the attached image

The plot suggests that the logistic regression model is not adequately fitting the data.

The deviance residuals plot against the estimated model probabilities with a lowess smooth indicates how well the logistic regression model fits the data. A plot with residuals around zero suggests that the model is adequately fitting the data. In this case, the deviance residuals are around 14.83 which indicates a poor fit of the model. Therefore, the plot suggests that the logistic regression model is not adequately fitting the data.

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Answer:

Step-by-step explanation:

In this expression, the number 3 represents the initial group of friends to whom Carol told the joke.

The base number 4 represents the number of people each friend told the joke to on the following day.

The exponent x represents the number of days that have passed since Carol first told the joke, and as a result, the number of "generations" of people who have heard the joke.

Therefore, 4 raised to the power of x represents the total number of people who have heard the joke after x days, including Carol's initial group of friends and all subsequent generations of people who have been told the joke by those who heard it before.

Finally, multiplying 3 and 4 raised to the power of x gives the total number of unique people who have heard the joke after x days, since the initial group of friends is not included in the later generations.

Answer:-1

Step-by-step explanation:

in order to solve this type questions you should "orginize" numbers same variables:

-6x+4x=6-4

-2x=2

x=-1

The expression to represent how much Mason's mom spent for "g" games online is 12g + 7

An expression is a combination of numbers, variables, and operators that represent a mathematical phrase or statement. Expressions can be used to represent mathematical operations and relationships, and they can be simplified or evaluated using mathematical rules and techniques.

Let's say that Mason's mom bought "g" games online.

Each game costs $12, and there is an additional $7 shipping fee per order.

Therefore, the total amount spent on g games can be represented by the expression:

12g + 7

Here, 12g represents the cost of the games, and 7 represents the shipping fee.

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The given question is incomplete, the complete question is:

Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games

The recursive formula that represents the given sequence is:

(B) an = -44aₙ₋₁ - 2

Any term of a series can be defined by its preceding term in a recursive formula (s).

For instance: An arithmetic series has the recursive formula a = an-1 + d.

An = An-1r is the recursive formula for a geometric sequence.

Because each phrase, an, goes back to the preceding term, an1, the formula an=2an1+3 is recursive.

According to this equation, any term we want is equal to two times the previous term plus three.

This sequence's first three terms are 4, 11, and 25.

So, we have the sequence:

-44, -46,-48, ...

Now, we have d that is:

= -48 - (-46)

= -48 + 46

= -2

The 1st term would be: a1 = -44

Then, the correct formula would be: an = -44aₙ₋₁ - 2

Therefore, the recursive formula that represents the given sequence is:

(B) an = -44aₙ₋₁ - 2

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