You are remodeling your kitchen. You have contacted 2 tiling companies who gladly told you how long it took their workers to tile a floor of a similar size. Jim completed 1/2 the floor in 12 hours, Pete completed the other 1/2 in 10 hours. If Pete can lay 25 more tiles per hour than Jim, what equation would you use to find the rate that Jim can lay tiles? Let x represent Jim's rate.

A. 10x = 12 (x -25)
B. 12x = 10 (x + 25)
C. 10x = 12 (x + 25)
D. 12x = 10 (x - 25)

Answer: 20.8ft

Step-by-step explanation:

Answer:

26/8 = 3.25

10 x 3.25 = 32.5

The answer is 32.5 ft

The triangles are not similar. Option E

Similar triangles are those triangles that may not be of the same size but a related in the sense of the proportionality in the following ways;

Looking at the two triangles as shown, we can see that they are not related in any of the ways by which we define proportionality of two triangles as such, the triangles are not similar. Option E

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Answer:

hypotenuse(?)

Step-by-step explanation:

A random sampling method could be used to find the percentage of students in your grade who eat five servings of fruit and vegetables each day.

This method involves selecting a random sample of students from the entire population of your grade and surveying them about their eating habits.

In other word, its involves randomly selecting a subset of students from the entire grade population and collecting data on their eating habits. By selecting students at random, the sample is more likely to be representative of the entire grade. This cam provide accurate insights into the percentage of students meeting the desired dietary recommendation.

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For the period 2005–2010, the drought caused a change in fish population of 2298 fishes each year.

According to the specified question-

Rate of change = (final number - initial number)/(final year - initial year)

Rate of change = (12,458 - 968)/(2010 - 2005)

Rate of change = -11490/5

Rate of change = -2298 fishes per year.

Negative sign shows there is a decline in the number.

Thus, for the time period 2005–2010, the drought caused a change in fish population of 2298 fishes each year.

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Answer:

642 is divisible by 3 but not by 9

Step-by-step explanation:

642/3

= 214

642 / 9

= 71 remainder 3.

Answer:

(-3,0) (2,0) (0,-7)

Step-by-step explanation:

Up and Right are addition and Left and Down are subtraction. add 8 to the y coordinates.

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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1. 3.2673 is the expected number of ticket holders that will fail to show for the flight.

2.  0.425  is the probability that the airline will not have enough seats for all the ticket holders who show for the flight.

P(airline will not have enough seats for all the ticket holders who show for the flight) = P(more than 267 people show up for the flight)

p = P(will show for flight) = 1 - 0.04 = 0.96

n = 278

µ = n * p = 278 * 0.96 = 266.88

   σ = \(\sqrt{ n*p* (1 - p)} = \sqrt{278 * 0.96 * 0.04} = 3.2673\)

P(X > 267)  =  P(X > 267.5)

                          p(x-  µ) / σ  > 267.5-  µ /σ

                   = P(Z> 267.5 – 266.88/ 3.2673 )

                   = P(Z > 0.19)

                    = 0.425.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means.  To understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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Answer:

B

Step-by-step explanation:

To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.

Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).

Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.

Thus, the value of z when the area to the right of z is 0.5 is 0.

Therefore, the correct option is b. 0.0000.

The situation representing independent events are ,

Drawing an ace and spade from a deck of 52 cards.

Choosing a destination by 3 randomly selected travelers.

Representing the dependent and the independent events,

Drawing an ace and then drawing a spade from a standard deck of 52 cards without replacement.

The probability of drawing a spade is not affected by whether or not an ace was drawn first,

This is independent event .

Training as a long-distance runner and winning a marathon.

The probability of winning a marathon depends on various factors such as training, skill, and the competition.

These factors are not independent.

so these events are dependent.

The destinations of 3 randomly selected travelers at an airport.

The choice of destination for each traveler is independent of the choices made by the other travelers.

so these events are independent.

Flipping a coin and getting heads twice in a row.

The probability of getting heads on the second flip depends on the outcome of the first flip.

If the first flip resulted in tails, then the probability of getting heads on the second flip is 1/2.

However, if the first flip resulted in heads, then the probability of getting heads on the second flip is still 1/2.

This events are dependent.

Therefore, the independent events are drawing an ace and spade from deck of cards and selecting destination of 3 randomly selected travelers.

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Answer:  

$4.09

Step-by-step explanation:

14.20+6% of 14.20 = 15.05
118% of 15.05= 18.29
18.29-14.20=4.09

Answer:

Ascending order:

Decreasing order:

Answer: $35.99

Step-by-step explanation: Subtract 20% of $44.99 from $44.99, and you have your answer! I hope this helps!

So, the price index of healthy food in the year 2017 based on the year 2014 is 109, indicating that the price of healthy food has increased by 9% from the base year 2014.

To calculate the price index of healthy food in the year 2017 based on the year 2014, we can use the following formula:
Price Index = (Price in the Current Year ÷ Price in the Base Year) x 100
Using this formula, we can determine the price index of healthy food as follows:
Price Index = (Price of Healthy Food in 2017 ÷ Price of Healthy Food in 2014) x 100
Given that the price of healthy food increased by 9% from 2014 to 2017, we can assume that the price in 2017 is 109% of the price in 2014. Therefore, the price index of healthy food in 2017 based on 2014 can be calculated as follows:
Price Index = (109 ÷ 100) x 100
Price Index = 109
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The standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is y - y₁ = m(x - x₁) when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

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We want to find two points that belong to the line

The easiest points to calculate are the intercepts. The x-intercept happens when y = 0, to find the corresponding x-value we just need to evaluate y = 0 on the expression for our line.

The x-intercept is (-0.25, 0).

Analogously, for the y-intercept(that happens at x = 0), we have

The y-intercept is (0, -1).

Two points that belongs to this line are (-0.25, 0) and (0, -1).

The graph of this line is

Answer:

a b d e

Step-by-step explanation:

The reason is for A. BD=BF is the same length

the reason for B. is that angle one and two combined is a right angle so 90 degrees

the reason for D. is that E is in the middle of DF if you cut it in half where the E is it will be equal to each other

the reason for E. is that is angle three and four combined equals 90 degrees

Answer:

6 is the GCF / 6(4+6)

Step-by-step explanation:

You should know your multiples up to 10, so then do some mental math and think about what number could go in each example:

Try 2: 2,4,6,8,10,12,14,16,18,20,24... except at the end we know there is most likely a greater GCF because two even numbers still remain in the parentheses.

This should be pretty fast since you should realize that three wouldnt work and same with five.

Until you see six

6,12,18,24,30,36

Answer:

1/3 pies per person

Step-by-step explanation:

there are 6 people who gets served.

2 pies / 6 people = 1/3 pies per person

Answer:

2/6 = 1/3

She has 5 visitors + herself=6

Six people share 2 pies

She'll have to cut each pie into 3 equal pieces

So everyone will get a third of an apple

That is 1/3

As a continuous random variable's probability density function spans a wide range of values, the likelihood that it will take any particular value is equal to zero.

The probability that a continuous random variable takes any specific value is equal to zero because the probability density function is spread out over a range of values rather than assigning a specific probability to any one value. This means that the probability of any one specific value is effectively zero, as the probability of that value is spread out across the range. The probability of any range of values (e.g. the probability that the variable takes a value between 1 and 5) can be calculated, but not the probability of any one specific value. Nonetheless, the probability density function may be used to estimate the odds that any range will exist, as well as the likelihood that a variable would take a value in that range.

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Answer:

Right Triangle and isosceles

Step-by-step explanation:

It is a right triangle given the 90° angle, but it is isosceles because only 2 of the sides are of equal length.

You will have approximately $1929.29 available to spend in 6 years.

To calculate the future value of your deposit after 6 years, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)^Time

Plugging in the values:

Present Value (PV) = $1491

Interest Rate = 5.07% = 0.0507

Time = 6 years

Future Value = $1491 * (1 + 0.0507)^6

Calculating the expression:

Future Value = $1491 * (1.0507)^6

Future Value ≈ $1929.29

Therefore, you will have approximately $1929.29 available to spend in 6 years.

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The image of G when A IMG is rotated 180 around the origin is (-2,-4).

To rotate a figure 180 degrees around the origin, we reverse the signs of both the x-coordinate and the y-coordinate. In the image, the point G has coordinates (2,4). Reversing the signs of these coordinates gives us (-2,-4).

Rotate the figure 180 degrees around the origin. This means that we imagine the figure being flipped over the origin.

Reverse the signs of both the x-coordinate and the y-coordinate of the point G. This is because when we rotate a figure 180 degrees around the origin, the signs of both the x-coordinate and the y-coordinate are reversed.

The new coordinates of G are the coordinates of the point that is the result of rotating the figure 180 degrees around the origin and reversing the signs of the coordinates of point G. In this case, the new coordinates of G are (-2,-4).

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Complete question :

The Cozy Inn wants to gather information about customer satisfaction concerning the cleanliness of its rooms upon check-in. This Inn has 100 rooms, and the manager decides to start with the first room and place surveys in this room and every 5th room thereafter (room 6, room 11. room 16, etc.). This is an example of a :

Answer: Systematic sampling

Step-by-step explanation: Systematic sampling usually takes an ordered technique or process in dealing with samples. Systematic sampling could assume a randomized start point in selecting observations, However, every other successive points usually follow a fixed order or selection process. In the scenario above, the manager sampling choice involves an ordered and fixed selection process whereby every fifth sample after the initial point is considered. Hence, resulting in predictable points, such as 6th, 11th, 16th, 21st, 26th, 31st,...and so on.