A TV was bought for $18,950 and old at a loss of $4780.Find the selling price

Answer:

x+y=-4=y=-x-4

3x-(-x-4)=12

4x-4=12

4x=16

x=4

4+y=-4

y=-4

solution

(4,-4)

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Answer:

x is 2 and y is -6

Step-by-step explanation:

3x-y=12

x+y=-4

Adding both equations to eliminate y

4x=8

x=2

Substituting

2+y=-4

y=-6

x is 2 and y is -6

Proving that this answer is correct:

Substituting x is 2 and y is -6

3*2-(-6)=12 6+6=12 12=12 True

2-6=-4 -4=-4 True

Therefore, x is 2 and y is -6

We have a 1/6 chance of rolling doubles on the first roll. The odds of rolling a double on the second turn but not the first are (5/6) x (1/6) = 5/36.

So we have a total of 36 outcomes over here. So we have 36 possibilities, and if we simplify this, 6/36 is 1/6. So the chance of rolling doubles on two six-sided dice numbered 1 to 6 is 1/6.

The odds of rolling a double on the second turn but not the first are (5/6) x (1/6) = 5/36.

We'll now look at the chances of getting out of jail by rolling doubles. Because there are more possibilities to examine, this probability is significantly more complex to compute.

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If the data shows that overweight children do not suffer from diabetes as predicted by your model, indicating a lower than 80% probability, it suggests that there may be a discrepancy between the model's predictions and the actual observations. In this case, your next step would be to reevaluate and potentially revise your model.

Here are some possible steps to consider:

1. Review the data: Double-check the accuracy and reliability of the data used to validate your model. Ensure that the data is representative, comprehensive, and properly collected.

2. Analyze potential errors: Look for potential errors or biases in the data collection, analysis, or interpretation process. Consider factors such as sample size, sampling method, data collection methods, or any confounding variables that may have affected the results.

3. Assess model assumptions: Review the assumptions made in developing the model and determine if any of them may have been invalid or inappropriate for the specific context or population under study. Adjust the model if necessary to better align with the observed data.

4. Consider additional variables: Examine if there are any other relevant variables that were not initially included in the model but may influence the relationship between child obesity and diabetes. Incorporating additional variables or adjusting the existing ones might lead to a more accurate model.

5. Seek expert opinions: Consult with experts or researchers in the field of child obesity and diabetes to gain insights and validate your findings. They may provide guidance on potential factors or mechanisms that could explain the discrepancy between the model and the observed data.

6. Further data collection: If necessary, consider collecting additional data to refine and improve the model. This could involve expanding the sample size, targeting specific subgroups, or collecting more detailed information on relevant variables.

7. Model refinement or reconstruction: Based on the findings from the above steps, refine or reconstruct the model to better capture the relationship between child obesity and diabetes. This may involve modifying the assumptions, incorporating new variables, or applying alternative modeling techniques.

8. Test and validate the revised model: After making revisions, test the updated model using independent data sets or conducting further studies to validate its accuracy and reliability.

Remember, the scientific process often involves iteration and continuous improvement. If the initial model does not align with the observed data, it is essential to critically evaluate the model and make necessary adjustments to improve its accuracy and usefulness.

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The equation given is;\(x = ct^5 - bt^7\)Where \(c = 2.6 m/s^5\) and \(b = 1.1 m/s^7\)(a) Displacement is obtained by finding the difference between the initial and final position of the particle.

\(i.e At , the particle is at a distance ofDisplacement = Displacement = = - 1.57 m(b) When t = 1.0 s,\)

the velocity of the particle can be found by taking the derivative of the displacement with respect to time;i.e \(v = \frac{dx}{dt}\)\(x = ct^5 - bt^7\)\(\frac{dx}{dt} = 5ct^4 - 7bt^6\)At \(t = 1.0 s\), \(v = 5*2.6(1.0)^4 - 7*1.

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Answer:

$8502

Step-by-step explanation:

you need to gather a compilation of prices and add them all up. You then divide that total by the number of prices you gathered.

Answer:

8

Step-by-step explanation:

AB is 3 cm and AC is 2 cm, and since triangle ABC is an isosceles triangle, BC can either be 3 cm or 2 cm. We want the longest perimeter possible, so make BC 3 cm, and add the side lengths to find the perimeter.

P = 3 + 3 + 2 = 8.

The approximate diameter of the sphere with a surface area of 95π inches is approximately 9.74 inches.

The surface area of a sphere is given by the formula:

A = 4πr²

where A is the surface area and r is the radius of the sphere. We can solve this equation for r to get:

r = √(A / 4π)

Substituting A = 95π, we get:

r = √(95π / 4π)

 = √(95/4)

 ≈ 4.87

Therefore, the radius of the sphere is approximately 4.87 inches. The diameter of the sphere is twice the radius, so the approximate diameter of the sphere is:

d ≈ 2r ≈ 2(4.87) ≈ 9.74

Therefore, the approximate diameter of the sphere is approximately 9.74 inches.

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Answer:

76.2%

Step-by-step explanation:

0.762 = 76.2/100

Answer:

A. 3.8 grams

Step-by-step explanation:

A baking scale measures mass to the tenth of a gram, up to 650 grams. Which of the following measurements is possible using this scale?

a.3.8 grams

b.120.01 grams

c.800.0 grams

d.54 milligrams

Solution

The scale measures mass to the tenth of a gram

The scale measures up to 650 grams

a.3.8 grams

This measures to the tenth of a gram (to one decimal place) and it is not up to 650 grams

b.120.01 grams

This measures to hundredth of a gram ( 2 decimal places) and it is not up 650 grams.

c.800.0 grams

This measures to the tenth of a gram but exceeds the 650 grams limit

d.54 milligrams

This is in milligram, so it is wrong

Option a.3.8 grams is the only possible scale measurement among the options.

Answer:

Ruffly 6.5

Step-by-step explanation:

a^2+b^2=C^2

In this case we need to find a so we do c^2-b^2.

9.8^2-7.3^2=42.75

Square root of 42.75 is ruffly 6.5

Answer:

6.5 km

Step-by-step explanation:

hypotenuse (h)=9.8km

base(b)=7.3km

perpendicular (p)=?

we know,

p^2 =h^2-b^2

p^2=(9.8)^2-(7.8)^2

p^2= 96.04-53.29

p^2=42.75

(p)^2=(6.5)^2

p=6.5km

Answer:

B

Step-by-step explanation:

3/9 is the same as 1/3.

It can't be D since 5/12 isn't 1/3.

It can't be A since 2/3 and 3/3 don't equal 1/3.

It can't be C since everything listed is equal to 2/3.

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips can be determined by finding the area under the normal distribution curve to the right of the mean.

To find this proportion, we can use the z-score formula:
z = (x - mean) / standard deviation

In this case, we want to find the proportion of bags that contain more than 12 ounces, so x = 12 ounces.

z = (12 - 12.5) / 0.2
z = -2.5 / 0.2
z = -12.5

Next, we need to find the cumulative probability associated with the z-score. We can use a standard normal distribution table or a calculator to find this probability.

Looking up the z-score of -12.5 in the table or using a calculator, we find that the cumulative probability is approximately 0.

Therefore, the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

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The compound inequality statement which combines two or more conditions for each of the two scenarios described are :

1.)

Let Single scoop cone = f

Age range of those entitled to free single scoop :

Adult age older than 65 (> 65)

Children aged 4 or less (≤ 4)

The compound inequality representing both conditions could be written as ::

65 < f ≤ 4

2.)

Least number of flavors = 8

Maximum addition possible = 4

The maximum number of flavors = 8 + 4 = 12

Let the Number of flavors possible = f

The compound inequality can be written thus :

Least number ≤ f ≤ maximum number

8 ≤ f ≤ 12

Therefore, the compound inequality statement for the two scenarios are stated above.

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They are probably vulnerable to divorce within 7 years. People make the decision to go with divorce for a variety of reasons. Finances influence many divorces, but every case is unique, and people choose to end their marriages for various pertinent and personal reasons. You know how challenging this circumstance might be if you consider getting divorced.

It's likely that you've heard of the "seven-year itch." This refers to the idea that couples frequently decide to get divorced after spending about seven years together. Nothing mystical occurs at this stage of a marriage, but there are a number of factors that may increase the likelihood that a couple will file for divorce at or near this time in their relationship.

An average couple stays together for seven years before deciding to end their relationship. Extramarital affairs frequently serve as the catalyst for divorce proceedings. The phrase "seven-year itch" refers to this situation in which one partner becomes dissatisfied in the marriage and seeks fulfillment elsewhere.

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T test is used to compute the confidence interval, when the mean and standard deviation is given.

What is Standard Deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test

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Answer:

I dont know how to comment but how do u take a pic without scanning

Answer:

it is

Step-by-step explanation:

Triangle 1 and 4 are similar using AAA

number one and four.......

Answer:

363/8π yd²

Step-by-step explanation:

The total area of the circle = πr²

the area of the shaded region = 135/360 × πr² = ⅜ πr² = ⅜ π × 11² = 363/8 π ≈ 136.125 yd²

Answer:

12 , 13 and 14

Step-by-step explanation:

The area of the parallelogram is \(\sqrt{132}\).

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. Sum of all the interior angles equals 360 degrees.

Given that,

vertices k(1, 1, 3), l(1, 3, 5), m(6, 9, 5), and n(6, 7, 3)

Area of Parallelogram = |KL × KN|

KL = (1, 1, 3) - (1, 3, 5) = (0, 2, 2)

KN = (1, 2, 3) - (3, 7, 3) = (2, 5, 0)

Area of the parallelogram = cross product of two vectors, represented by the adjacent sides.

Area of Parallelogram = |(0, 2, 2) × (2, 5, 0)|

                                    = |i(2 × 0 - 5 × 2) - j(0 × 0 - 2 × 2) + k(0 × 5 - 2 × 2)|

                                    = |i(-10) - j(-4) + k(-4)|

                                    = |-10i + 4j - 4k|

                                    = \(\sqrt{(-10)^{2}+(4)^{2}+(-4)^{2} }\)

                                    = \(\sqrt{100+16+16}\)

                                    = \(\sqrt{132}\)

Hence, The area of the parallelogram is \(\sqrt{132}\).

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Step-by-step explanation:

revenu is 26,450

the profit is 3,450 I hope it's right

it would be 23,000

Step-by-step explanation:

I don't know how ro explain it

Answer:

  you will save $3.69

Step-by-step explanation:

You save 20% of the marked price on each of the three books. Your savings are ...

Then the total savings is ...

  $1.70 +0.59 +1.40 = $3.69 . . . total savings

__

It can be easier to do the addition first:

  ($8.50 +2.95 +7.00) × 0.20 = $18.45 × 0.20 = $3.69 . . . total savings

9514 1404 393

Answer:

  d = 3√10 ≈ 9.487

Step-by-step explanation:

The distance formula is appropriate.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-3 -0)^2 +(2 -(-7))^2) = √(9 +81) = √90

  d = 3√10

1. The weekly amount that Natalie will earn will be $679.515.

2. The amount earned in the summer will be $5436.12.

Overtime pay = 1.5 × 15.27 = $22.905

Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h.

The weekly amount will be:

= 15.27 × 40 + (3 × $22.905)

= $610.80 + $68.715

= $679.515

The amount earned each summer will be:

= 8($610.80 + $68.715)

= $5436.12

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The initial value problem dy = 2/y * x^3 with the initial condition y(0) = 8 is given. We need to find the value of y(100) to the nearest thousandth (3 decimal places).

To solve the initial value problem dy = 2/y * x^3 with the initial condition y(0) = 8, we can use separation of variables. Rearranging the equation, we have y * dy = 2 * x^3 * dx. Integrating both sides gives us the equation y^2/2 = (1/4) * x^4 + C, where C is the constant of integration.

Using the initial condition y(0) = 8, we can substitute the values and solve for C. Plugging in y = 8 and x = 0, we get (8^2)/2 = (1/4) * (0^4) + C, which simplifies to C = 32.

Now, we have the equation y^2/2 = (1/4) * x^4 + 32. To find y(100), we substitute x = 100 into the equation and solve for y. Plugging in x = 100, we get y^2/2 = (1/4) * (100^4) + 32. By solving for y, we obtain y(100) ≈ 2236.078, rounded to three decimal places.

Therefore, y(100) ≈ 2236.078 (rounded to the nearest thousandth or 3 decimal places).

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Answer:

y = -1/8x - 2

Step-by-step explanation:

y-intercept of -2 means (0,-2)

Given (0,-2) and (8,-3)

Slope m = (y2-y1)/(x2-x1)

m = (-3 - -2)/(8 - 0) = -1/8

Using (8,-3)

y = mx + b

-3 = -1/8(8) + b

-3 = -1 + b

b = -2

then y = -1/8x - 2

Here, the vector equation r(t) = (3t - 4, t^2 + 5), and t = 1, we get  r'(t) = (3, 2t) and r'(1) = (3, 2).

Step 1: To get the derivative of each component of the vector equation.
- The derivative of the first component (3t - 4) with respect to t is 3.
- The derivative of the second component (t^2 + 5) with respect to t is 2t.
Step 2: Combine the derivatives to form the vector r'(t).
r'(t) = (3, 2t)
Step 3: Evaluate r'(t) at t = 1.
r'(1) = (3, 2 * 1) = (3, 2)
So, r'(t) = (3, 2t) and r'(1) = (3, 2).

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tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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Answer:

B) x = √118 mi

Step-by-step explanation:

This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is

a^2 + b^2 = c^2, where

Step 1:  Plug in x and √26 for a and b and 12 for c and simplify:

x^2 + (√26)^2 = 12^2

x^2 + 26 = 144

Step 2:  Subtract 26 from both sides to isolate x^2:

(x^2 + 26 = 144) - 26

x^2 = 118

Step 3:  Take the square root of both sides to isolate x:

√(x^2) = √118

x = √118 mi