Georgia needed to sell her iPhone. She priced it at
$650 the first day. The second day she reduced the
price by 12%. What was the price of the phone after
this reduction?

Answer:

Remember that:

\(\frac{a/b}{c/d} = \frac{a}{b}*\frac{d}{c}\)

A) We know that:

Each dog gets (2/3) of a cup of food.

Elena used 3 + 1/3 cups of dog food, then, how many dogs there are?

The number of dogs is equal to the quotient between the total amount of food used and the food that a single dog needs, this is:

\(N = \frac{3 + 1/3}{2/3}\)

We can rewrite the numerator as:

3 + 1/3 = 3*(3/3) + 1/3 = 9/3 + 1/3 = 10/3

Replacing that in the above equation, we get:

\(N = \frac{10/3}{2/3} = \frac{10}{3} *\frac{3}{2} = 10/2 = 5\)

There are 5 dogs.

B)

We know that:

5 + 1/8 cups of water, can fill four bottles.

Then, how many cups we need for each bottle?

Assuming that each bottle holds the same amount of water, then each bottle will hold a fourth of (5 + 1/8) cups of water.

This is the quotient between (5 + 1/8) cups of water and 4.

\(K = \frac{5 + 1/8}{4}\)

We can rewrite the numerator as:

5 + 1/8 = 5*(8/8) + 1/8 = 40/8 + 1/8 = 41/8

Replacing that we get:

\(K = \frac{41/8}{4} = \frac{41}{8} *\frac{1}{4} = 41/32\)

We can rewrite this as a mixed number in the next way:

\(K = \frac{41}{32} = \frac{32 + 9}{32} = \frac{32}{32} + \frac{9}{32} = 1+ 9/32\)

So with 1 and 9/32 cups of water we can fill one of the bottles.

Answer:

Step-by-step explanation:

6 2/5

Number 5 is denominator, keep it for denominator.

Numerator will be 6x5+2 =32

so, a fraction of 6 2/5 greater than 1 is 32/5

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

subtract from both sides and then multiplying both sides

Step-by-step explanation:

how can you solve y = -2x + 25 by subtraction

Answer:

128

Step-by-step explanation:

2^4/2^-3

= 2^7

=128

Answer:

2309

Step-by-step explanation:

V=\(\pi r^{2} h\)

plug in

V=2309.07

Answer:

2x + 7

Step-by-step explanation:

The product of 2 and x

Product means multiplication

The product of 2 and x means multiplication of 2 and x

Which is equivalent to

2 * x = 2x

The product of 2 and x is increased by 7

That is, 7 is added to the product of 2 and x

Here,

2x + 7

The variable expression that represent the word phrase "The product of 2 and x is increased by 7" is 2x + 7

The correct answer is b. we know the standard deviation of the population.

The Nearly Normal condition, also known as the Central Limit Theorem, states that the sampling distribution of the sample mean tends to be approximately normal, even if the population distribution is not normal, under certain conditions. One way to meet the Nearly Normal condition is by knowing the standard deviation of the population.

When the standard deviation of the population is known, the sample size does not have to be large for the sampling distribution of the sample mean to be approximately normal. This is because the standard deviation provides information about the variability of the population, allowing for a more accurate estimation of the sample mean distribution.

While the other options (a, c, and d) may be relevant in specific scenarios, they are not directly related to meeting the Nearly Normal condition as defined by the Central Limit Theorem.

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Answer:

100

Step-by-step explanation:

inverse operation: 12,400 divided by 124

The equation that shows how the total number of science quizzes, y, depends on the number of months that have passed, x is y = 4x.

An equation is a mathematical statement that shows the relationship between two or more values.

In this case, Leon has already had 4 science quizzes this semester and expects to have 4 quizzes per month going forward.

We can use an equation to show how the total number of science quizzes, y, depends on the number of months that have passed, x.

The equation for this would be y = 4x, where x is the number of months that have passed and y is the total number of science quizzes.

This equation shows that for each month that passes, the total number of science quizzes increases by 4

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To find the average quarterly loads for the rest of the years, you can use the formula below:

Average Quarterly Load = Total Annual Load  4 For example, let's say the total annual load for Year 1 is 800.

To find the average quarterly loads for Year 1, we would divide 800 by 4 to get an average quarterly load of 200. Then, you can use this average quarterly load to find the seasonal indices for each quarter of each year.To find the seasonal index for a given quarter and year, you would divide the actual quarterly load by the average quarterly load for that year.

For example, let's say the actual load for Quarter 1, Year 1 is 240. To find the seasonal index for this quarter and year, we would divide 240 by 200 to get a seasonal index of 1.2. You would repeat this process for each quarter and year to find the seasonal indices for all quarters and years.

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Answer:

26 divided by 2

13

Step-by-step explanation:

divide the number of the apples in 2 trees by the number of apples that WOULD be in 1 tree

REST. YOU NEED TO SLEEP.

Answer:

I believe it is 13 I might be wrong but I promise I am trying.

Step-by-step explanation:

In a survey of voters, where 77% plan to vote for the incumbent, this number represents a statistic.

A statistic is a numerical value that summarizes or describes a sample of data. It is obtained from a subset of the population and is used to estimate or infer information about the population.

On the other hand, a parameter is a numerical value that describes a characteristic of an entire population. It is typically unknown and is inferred or estimated using statistics.

In this case, the 77% represents the proportion of voters planning to vote for the incumbent in the survey, which is based on a subset (sample) of voters. Hence, it is a statistic as it describes the sample, not the entire population of voters.

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\( { \frac{2}{3} }^{2} = \frac{4}{9} \)

Answer:

4/9

Step-by-step explanation:

= (2/3)^2

= (2x2/3x3)

= 4/9

Answer:

It is D

Step-by-step explanation:

Because I did the work and if you count where the middle is it is 1 to the right and 3 up.

So, the basketball player needs to shoot the ball with a velocity of u so that the maximum height attained by the ball is 10.0625 feet.

Given, A basketball player shoots a foul shot, releasing the ball at a 45-degree angle from a position 6 feet above the floor, then the path of the ball can be modeled by the quadratic function,

h(x) = -0.005x² + 0.45x + 6

Here, the ball has released at an angle of 45 degrees, then the vertical velocity (v) and horizontal velocity (u) can be given as:

v = usinθ = ucosθ = gt...

As the projectile motion is a 2-D motion]where t is the time, g is the acceleration due to gravity.

As the maximum height is attained at the mid of the total time taken, thus the time taken to attain the maximum height (H) can be given as:

H = u sin(θ)/g

So, H = u/g [Here, sin(θ) = 1/root2]

Also, The total time (T) of flight can be given as:

T = 2u sinθ/g

We can calculate the value of T using the formula above.

T = 2u sinθ/g

= 2u(1/root2)/g

= u/g√2

Now, Let's put the value of T in the quadratic equation of the path of the ball,h(x)

= -0.005x² + 0.45x + 6h(x)

= -0.005(x² - 90x) + 6h(x)

= -0.005(x²- 90x + 2025 - 2025) + 6h(x)

= -0.005((x - 45)²- 1012.5) + 6h(x)

= -0.005(x - 45)² + 10.0625

As the vertex of the parabola represents the maximum height, thus the maximum height (H) can be given as, H

= 10.0625 feet

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This problem is an example of a balanced transportation problem since the total supply of goods is equal to the total demand.

The transportation problem is a well-known linear programming problem in which commodities are shipped from sources to destinations at the minimum possible cost. The initial step in formulating a mathematical model for the transportation problem is to identify the sources, destinations, and the quantities transported.
The objective of the transportation problem is to minimize the total cost of transporting the goods. The mathematical model of the transportation problem is:
Let there be m sources (i = 1, 2, …, m) and n destinations (j = 1, 2, …, n). Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
The transportation problem can then be formulated as follows:
Minimize Z = ∑∑cijxij
Subject to the constraints:
∑xij = si, i = 1, 2, …, m
∑xij = dj, j = 1, 2, …, n
xij ≥ 0
where si and dj are the supply and demand of goods at the i-th source and the j-th destination respectively.
Using the given table, we can formulate the transportation problem as follows:
Let A1, A2, and A3 be the sources, and B2, B3, and B4 be the destinations. Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
Minimize Z = 27x11 + 27x12 + 32x13 + 15x21 + 21x22 + 20x23 + 16x31 + 22x32 + 18x33
Subject to the constraints:
x11 + x12 + x13 = 3
x21 + x22 + x23 = 14
x31 + x32 + x33 = 10
x11 + x21 + x31 = 21
x12 + x22 + x32 = 32
x13 + x23 + x33 = 26
xij ≥ 0
In this way, we can construct a mathematical model of the transportation problem using the given table. The model can be solved using the simplex method to obtain the optimal solution.

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Answer:

30/20 = 6/4 = 2/3 (I hope this makes sense)

Step-by-step explanation:

U are dividing by LCM

The correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

The measure of the variability of the sample means, also known as the standard error of the mean, can be calculated using the formula:

Standard Error of the Mean (SE) = σ / √(n)

sigma is the population standard deviation,

n is the sample size.

The standard error of the mean represents the variability or dispersion of the sample means obtained from repeated samples of size n from a population. It indicates how much the sample means are likely to differ from the true population mean.

The smaller the standard error of the mean, the less variability is expected among the sample means, indicating a more precise estimate of the population mean.

Therefore, the correct answer is B i.e. Standard Error of the Mean (SE) = σ / √(n)

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Given question is incomplete, the complete question is below

A measure of variability of the sample means xbar in repeated samples of n observations randomly selected from a given population is

a. s

b. σ/√(n)

c. s/√(n)

d. σ

Answer:

2/11

Step-by-step explanation:

hellodhjdhdbdhellobehsjsjddj

hihi hi

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer: A

Step-by-step explanation: 3(1)+k =8 8-3=5

Answer:

A. 5

Step-by-step explanation:

Plug each x value into the equation 3x + k

Substitute each answer choice for k

Whenever they match the values under the equation, you have the answer.

3 (1) + 5 = 8

3 (3) + 5 = 14

3 (5) + 5 = 20

Answer:

D 100cm

Step-by-step explanation:

Answer:

the area is 42 square units

Step-by-step explanation:

lets break it down

12 x 1 = 12

12 x 5 = 60

60 / 2 = 30

12 + 30 = 42

The event B and event C are neither independent nor mutually exclusive.

Hence the correct option is (D).

Given that the probability of occurrence of event B is = P(b) = 0.56

The probability of occurrence of event C is = P(c) = 0.23

The probability of occurrence of event B and C together is = P(b and c) = 0.12

Since P(b and c) is not equal to 0 so the events B and C are not mutually exclusive.

Now, P(b) * P(c) = 0.56 * 0.23 = 0.13 (rounding off to nearest hundredth) is not equal to P(b and c) = 0.12.

So the events B and C are not independent either.

Hence the correct option is (D).

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The value of the surd form √14 is 3. 74

The square root of a number is a value that, when multiplied by itself, equals the original number.

It is represented by the symbol √ and is a way to find the side length of a square given its area or the length of a diagonal in a right triangle.

From the information given, we have that;

The expression is √14

We can see that the value √14 is a surd which can no longer be simplified into a whole or rational number.

To determine the square root, we use the calculator

√14

3. 7416

In the nearest tenth, we get;

3. 74

Hence, the value is 3. 74

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The multiplication of \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)in scientific notation is \(9.6 \times {10}^{21} \)

Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.

given that \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)

Now, find the answer in scientific notation

\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)

combine the all the like terms

\((2.4 \times 4)( {10}^{14} \times {10}^{7} )\)

According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.

\((9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} \)

Hence,the multiplication of\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\) in scientific notation is \(9.6 \times {10}^{21} \)

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Answer:

12

Step-by-step explanation:

Rectangle : Let length = b & width = a

PQ = QR = 6

LR = QR - PL = 6 - a

ΔPQR ~ ΔMLR

In similar triangles, corresponding sides are in same ratio.

\(\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}\)

\(1 =\frac{a}{6-b}\)

6 - b = a

6 = a + b

a +b = 6

Perimeter of rectangle = 2*(length +width}

       = 2*(a+ b)

       = 2 * 6

       = 12  

Answer:

[-9. -8]

[2. 0]

Step-by-step explanation:

all you have to do is multiple each number with the corresponding number in the other column

Answer:

Step-by-step explanation:

-5 6

1 -4