During the sale, Ronald paid $77
for a hammock.
​
​What was the original price rounded to the nearest penny? sorry forgot the picture on the other one

Hi ;-)

\(-u+114=262\\\\-u=262-114\\\\-u=148 \ \ /:(-1)\\\\\huge\boxed{u=-148}\)

Answer:

\( - u + 114 = 262 \\ u = 114 - 262 \\ u = - 148 \\ thank \: you\)

Answer:

Population: all of the students at the town's high school

Sample Examples:

- An equal fraction of students from each grade.

- Every 5th student arriving at the school at a certain day.

Step-by-step explanation:

The population of a survey is the group whose data is desired.

If Alan wants to determine the type of art preferred by students at the town's high school, the population of his survey is all of the students at the town's high school.

It might not be realistic to interview every student, which is why samples are used. Samples must be designed in a way that represents the whole population without bias. One way to do it would be to survey an equal fraction of students from each grade. Another alternative, is to randomly survey every 5th student arriving at the school at a certain day.

Answer:

Sample Response: The population of Alan's survey is all the students at the town's high school. The sample must be representative of the population. A possible sample would be an equal number of freshman, sophomores, juniors, and seniors.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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The measure of angle BAC is of 14.48º, considering the relations in a right triangle.

There are three relations in a right triangle, presented as follows:

Using a ruler, it is found that the length of the opposite side to angle BAC, of CB, is of 1.5 cm, hence the following relation is established, considering the hypotenuse of 6 cm.

sin(x) = 1.5/6

In which x is the measure of angle BAC.

x can be isolated applying the arc sine function, which is the inverse of the sine, hence:

x = arcsin(1.5/6)

x = 14.48º.

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Answer:

52 mph

Step-by-step explanation:

Answer:

Find two points on the line and write them out: (x1,y1) (x2,y2)

Use this formula: y2-y1/x2-x1

The answer you get is the slope which is "m" in y=mx+b

Now in y=mx+b plug in one point's y into y and x into x. 

Find b

Answer:

Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

We are rounding to the nearest tenth, so we look at the hundredth place. Since 7 is bigger than 5, we round the digit in the tenths place up. We get 9.6 as our answer.

I hope this helped and please mark me as brainliest!

9.57 rounded up to the nearest tenth is 9.6

The expression that is equivalent to 4 ^ 3 would be an expression that equals 4 ^ 3

4 ^ 3 = 4 x 4 x 4 = 16 x 4 = 64

Answer:

4^3 =

4 x 4 x 4 x4 = 64

Answer:

420 69

Step-by-step explanation:

620 +90 = 42069

Answer: C. are perpendicular

Step-by-step explanation:

I took the test and got it right

Answer:

Quadrant II

Step-by-step explanation:

See attached image.

Answer:

96

Step-by-step explanation:

If Y is directly proportional (or in this case varies directly) then whatever you do to one value you do to the other.

So in this case, when Y = 8 and X = 4 that means that Y is double of X (cause 8 is double 4).

So when X = 48 all you need to do is double X which will give you 96.

Answer:

A = a/2^2 + b/2^2          where b = 26 - a     (a/2 and b/2 sides of square)

A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)

4 * A= 2 a^2 - 52 a + 676

4 dA / da =4 a - 52 = 0

Area will be minimized when   a = 13 and b = 13

Check:  

 n A

13 13 0 84.5

12 14 1 85

11 15 2 86.5

10 16 3 89

9 17 4 92.5

8 18 5 97

7 19 6 102.5

6 20 7 109

5 21 8 116.5

4 22 9 125

3 23 10 134.5

2 24 11 145

1 25 12 156.5

0 26 13 169

The solution to the given equation is x = \(305\frac{11}{45}\).

The given equation is 45(x-310)=-214.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

By using distributive property, we get

45x-13950= -214

45x=-214+13950

45x=13736

x=13736/45

x=\(305\frac{11}{45}\)

Therefore, the solution to the given equation is x = \(305\frac{11}{45}\).

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To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Mr. Dyer received 1,080 votes.

Ratio of votes = 4:3:2

Total votes = 4 + 3 + 2 = 9

Total votes cast = 2,700

Mr. Dyer's votes = (4/9) x 2,700 = 1,080 votes

The ratio of votes cast for Mr. Dyer, Ms. Frau and Mr. Borak was 4:3:2 respectively. This means that for every 9 votes cast, 4 votes were for Mr. Dyer, 3 votes were for Ms. Frau and 2 votes were for Mr. Borak. Since none of the 2,700 voters cast more than one vote, the total votes cast for each candidate would be 2,700. To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Therefore, Mr. Dyer received 1,080 votes (4/9 x 2,700).

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Answer:

The solution of the system of the equations is (2, 1) ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = 8 ⇒ (1)

∵ 5x + 2y = 12 ⇒ (2)

→ Subtract equation (1) from equation (2)

∴ (5x - 3x) + (2y - 2y) = (12 - 8)

∴ 2x + 0 = 4

∴ 2x = 4

→ Divide both sides by 2

∴ x = 2

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(2) + 2y = 8

∴ 6 + 2y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + 2y = 8 - 6

∴ 2y = 2

→ Divide both sides by 2 to find y

∴ y = 1

∴ The solution of the system of the equations is (2, 1)

The probability that the dart lands inside the triangle is \(\frac{1}{4}\).

we know that

Probability = \(\frac{Favourable outcomes}{total outcomes}\)

Probability = \(\frac{162}{648} = \frac{1}{4}\)

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Answer:

25%.

Step-by-step explanation:

a) Probability of drawing a Blue, then a Red:

There are a total of 11 marbles in the bag. The probability of drawing a Blue on the first draw is 3/11. After drawing a Blue, there are 10 marbles left in the bag, including 5 Red marbles. The probability of drawing a Red on the second draw is 5/10. Therefore, the probability of drawing a Blue, then a Red is (3/11) * (5/10) = 15/110 = 3/22.

b) Probability of drawing a Red, then a White:

The probability of drawing a Red on the first draw is 5/11. After drawing a Red, there are 10 marbles left in the bag, including 3 White marbles. The probability of drawing a White on the second draw is 3/10. Therefore, the probability of drawing a Red, then a White is (5/11) * (3/10) = 15/110 = 3/22.

c) Probability of drawing three Blues in a row:

The probability of drawing a Blue on the first draw is 3/11. After drawing a Blue, there are 10 marbles left in the bag, including 2 Blue marbles. The probability of drawing a Blue on the second draw is 2/10. After drawing two Blues, there are 9 marbles left in the bag, including 1 Blue marble. The probability of drawing a Blue on the third draw is 1/9. Therefore, the probability of drawing a Blue, then a Blue, then a Blue is (3/11) * (2/10) * (1/9) = 6/990 = 1/165.

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Answer:

a

Step-by-step explanation:

Answer:

34.1%.

Step-by-step explanation:

Given: Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50.

This problem tells us that the distribution of weekly wages at the factory is normally shaped.

68.2% of wages fall within the standard deviation of the mean.

Since the mean is $400, this means that 68.2% of wages fall between $400 +/- $50, or between $350-$450.

Instead, we are interested in the probability of a wage being between $350-$400.

Said differently, this is between the mean ($400) and one standard deviation below the mean ($350).
The fact that the wages are normally distributed also means that the shape of the distribution is symmetrical above and below the mean.

So the probability of wages being between $350-$400 is half of 68.2%, or 34.1%.

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The option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

In the given question, a group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.29 cm.

We have to find the adult male foot length of 23.8 cm significantly low or significantly​ high.

According to thumb rule, a value is significantly low if it is 2 standard deviations below mean and significantly high if it is 2 standard deviations above mean

Mean = 26.84 cm

Standard deviation = 1.29 cm

Significantly low value = 26.84 - 2*1.29 = 24.26 cm

Significantly high value = 26.84 + 2*1.29 = 29.42 cm

Significantly low values are 24.26 cm or lower.

Significantly high values are 29.42 cm or higher.

The adult male foot length of 23.8 is lower than the significant low value of 24.26.

So the option B, "The adult male foot length of 23.8 cm is significantly low because it is less than 24.26 cm" is correct.

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To correctly substitute the values a, b, and c from the equation 1 = –2x + 3x^2 + 1 into the quadratic formula, we can follow these steps:

1. Identify the coefficients of the quadratic equation. In this case, a = 3, b = -2, and c = 1.

2. Use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

3. Substitute the values of a, b, and c into the formula:
x = (-(-2) ± √((-2)^2 - 4(3)(1))) / (2(3)).

4. Simplify the equation:
x = (2 ± √(4 - 12)) / 6.
  = (2 ± √(-8)) / 6.

5. Notice that the expression inside the square root (√(-8)) is negative, indicating that there are no real solutions to the equation.

when we substitute the values a = 3, b = -2, and c = 1 from the equation 1 = –2x + 3x^2 + 1 into the quadratic formula, we find that there are no real solutions.

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Mary's HLV is $2,215,773.95.

Mary's HLV if she works until 70 is $1,611,008.23.

Mary's COE if she works until 75 is $5,130,372.40.

Mary's COE if she works until 70 is $2,985,308.60.

To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.

Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750

Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33

Total personal consumption = 27% x $3,382,820.33 = $914,073.89

Calculate Mary's HLV:

= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89

= $2,215,773.95

Therefore, Mary's HLV is $2,215,773.95.

If Mary works until 70 total after-tax  = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09

Mary's HLV if she works until 70 is $1,611,008.23.

To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:

Calculate Mary's expected earnings in her final year of work:

Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62

Apply a capitalization rate to the expected earnings:

COE = expected earnings in final year / capitalization rate

= $256,518.62 / 0.05

= $5,130,372.40

Therefore, Mary's COE if she works until 75 is $5,130,372.40.

If Mary works until 70, her expected earnings in her final year of work would be:

Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43

Mary's COE if she works until 70 is $2,985,308.60.

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Ellen will need 40 tablespoons of vinegar for the egg-dying station.

To help Ellen, who is in charge of the egg-dying station at the Roseville Middle School Spring Festival. Ellen needs to figure out how much vinegar she'll need for the egg-dying activity, where she plans to use 16 color tablets.

Let's represent the number of color tablets Ellen plans to use as "T" and the amount of vinegar needed as "V." According to the information given, Ellen needs 5 tablespoons of vinegar for every 2 color tablets. We can write this as:

V = 5 * (T/2)

Now, let's substitute the value of T with the number of color tablets Ellen plans to use, which is 16:

V = 5 * (16/2)

Now, let's simplify the expression inside the parentheses:

V = 5 * 8

Now, perform the multiplication:

V = 40

So, Ellen will need 40 tablespoons of vinegar for the egg-dying station.

Let's assign variables to the given information for easier representation. Let T be the number of color tablets Ellen plans to use, and V be the amount of vinegar needed.

Given:

1. Ellen needs 5 tablespoons of vinegar for every 2 color tablets.

2. Ellen plans to use 16 color tablets.

We can express the relationship between V and T as follows:

V = 5 * (T/2)

Now, we can substitute the value of T with 16:

V = 5 * (16/2)

Simplifying the expression inside the parentheses:

V = 5 * 8

Finally, we perform the multiplication:

V = 40

Hence, Ellen will need 40 tablespoons of vinegar for the egg-dying station.

In conclusion, Ellen will need 40 tablespoons of vinegar for the egg-dying station at the Roseville Middle School Spring Festival.  

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The potential energy of the water in a lake is 57 trillion N × m, which is 57 trillion joules (J).

Gravitational potential energy applies in this situation. G P E = m g h is the formula for gravitational potential energy, where: mg stands for weight or mass times gravity (w). The height to which an object can fall before kinetic energy replaces potential energy is denoted by the symbol h. In the example of the lake, we first determine the amount of water using the equation for the volume of a typical cylinder in order to determine the weight of the cylinder: V cy l = π r²L , The weight density of the water per cubic foot, which is about 62 lb, can then be multiplied by this volume: W(water) = (Volume) (Density)

W (water) = (28,000,000 ft² ⋅ 40ft) ( 62 lb ÷ ft³ )

W (water) = 69,440,000,000 lb

To calculate the potential energy, multiply this weight by the height. GPE=mgh

GPE=Wh=(69,440,000,000lb)(600ft)

GPE=41,644,000,000,000ft⋅lb

matching the level of precision by rounding the response to two significant digits. 4.2X10¹³ft⋅lb , or 42 trillion ft-lb.

Because joules are measured in N × m units, multiply the result by fractional equivalencies. 42trillionft × lb × (4.45N ÷ lb) × (m ÷ 3.28ft)

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Answer:

TV = 9.71

Step-by-step explanation:

sin 47° = TV/13.28

0.7314 = TV/13.28

TV = 9.71

The equation that could be used to solve for the time t in hours that she drove before her stop is 80t + 100(8/3 - t) = 250.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let t = time she drove before her stop

If the total trip time is 3 hours including the stop, which took 20 minutes, then the time she drove after the stop is 3 - t - 1/3 or 8/3 - t.

If altogether she drove a distance of 250 km, then the sum of the products of the rate of speed and time each drive is equal to 250.

(80 km/h)(t) + (100 km/h)(8/3 - t) = 250

Simplify the equation.

80t + 100(8/3 - t) = 250

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Answer: 15%

Step-by-step explanation:  

I hope this helps,

have an wonderful Day!

The tax rate Tasha will pay on her investment income is 15%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Ordinary taxable income= $90,000

Capital gains= $12,000

Now,

The tax rate Tasha will pay on her investment income depends on her ordinary taxable income and the tax brackets for qualified dividends and long-term capital gains. Since Tasha’s ordinary taxable income is $90,000, she falls in the 15% tax bracket for her investment income.

Therefore, by the percentage the answer will be 15%.

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Answer:

yes it is, it has a the properties of a function especially because it passes the vertical line test.