Little Johnny's lemonade stand sells glasses of lemonade for 75 cents per class. If he sells 125 glass, how much money did he make?
$75.00
$93.75
$935.75
$9375.00

The standard error measures the variability of the sample mean from the true population mean. It represents the standard deviation of the sampling distribution of the mean and gives an estimate of how much the sample means will vary from one sample to another.

b. When calculating the standard error of the mean, we assume that the sample was randomly selected from the population, and that the sample size is large enough (usually, n > 30) for the central limit theorem to apply.

c. To reduce the standard error of their estimate of the mean home range size, researchers could increase the sample size, which will decrease the standard error by reducing the variability of the sampling distribution of the mean.

Alternatively, they could improve the precision of their measurements or reduce measurement errors to decrease the standard deviation of the sample, which will also decrease the standard error.

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Answer: Parallelogram

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel. If ZL, ZM, ZN, and ZO are approximately equal, it implies that the opposite sides LM and NO are parallel, and the opposite sides LO and MN are also parallel.

It may not be a rectangle: While a parallelogram is a quadrilateral with opposite sides parallel, a rectangle is a special type of parallelogram with additional properties, such as all angles being right angles. The given information does not provide any information about the angles of the quadrilateral, so we cannot conclude that it is a rectangle.

It may not be a rhombus: A rhombus is a special type of parallelogram in which all sides are equal. The given information only states that the angles ZL, ZM, ZN, and ZO are approximately equal, but it does not provide any information about the lengths of the sides LM, LO, MN, or NO. Therefore, we cannot conclude that LMNO is a rhombus based solely on the given information.

The electrician needs approximately 296.26 feet of wire.

The links between triangle's sides and angles are studied in the mathematic discipline known as trigonometry. It entails an examination of triangle's angles, lengths, and areas as well as their angles' mathematical properties (such as sine, cosine, and tangent).

The situation described can be modeled as a right triangle, where the wire from the electric box to the pole is the hypotenuse, and the angle of elevation is one of the acute angles. Let x be the length of the wire needed in feet.

Using trigonometry, we can write:

sin(17°) = opposite / hypotenuse

where the opposite side is the height of the connection on the pole above the ground. We can solve for the hypotenuse (the length of wire needed) as follows:

hypotenuse = opposite / sin(17°)

To find the opposite side, we can use the fact that the angle of elevation is 17° and the distance from the pole to the point on the ground directly beneath the connection is 85 feet. This distance is the adjacent side of the triangle, so we can write:

tan(17°) = opposite / 85

Solving for the opposite side, we get:

opposite = 85 tan(17°)

Substituting this into the formula for the hypotenuse, we get:

hypotenuse = (85 tan(17°)) / sin(17°)

hypotenuse ≈ 296.26 feet

Therefore, the electrician needs approximately 296.26 feet of wire.

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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 solution for the equation -x² + 2x + x - 3x = -9 + 2 + 6 is derived to be x = 1

We shall solve for x by simplifying the equation and making x the subject as follows:

-x² + 2x + x - 3x = -9 + 2 + 6

-x² + 3x - 3x = 8 - 9

-x² = -1

multiply both sides by -1 we have;

x² = 1

take square root of both sides

x = √1

x = 1

Therefore, the equation -x² + 2x + x - 3x = -9 + 2 + 6 will have a solution for the value of x = 1

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The expression (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

from the question, we have the following parameters that can be used in our computation:

(4d + 7) + (4d² + 8d + 9)

We can simplify the expression by combining like terms:

(4d + 7) + (4d² + 8d + 9) = 4d² + (4d + 8d) + (7 + 9)

= 4d² + 12d + 16

Therefore, (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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The IQR for both runs is 8 minutes.

If there are outliers or extreme values ​​in the data set, we summarize the typical value using the median instead of the mean. When there are outliers in a data set, the variation is often summarized by a statistic called the interquartile range, which is the difference between the first and third quartiles.

 Based on the given box pairs, we can make the following comparisons:

The average wait time at Thrill Tower is about 5 minutes shorter than the average wait time at River Rapids. That's because the centerline of Thrill Tower is  about 5 units below the centerline of River Rapids.  The IQR (interquartile range) for both times is not  directly in the box. However, we can estimate this by finding the distance between the first quartile (Q1) and the third quartile (Q3) of each run. From the box plot of Thrill Tower, we can see that Q1 is around 6 and Q3 is around 14. Therefore, the IQR for Thrill Tower is:

 Thrill Tower IQR = Q3 - Q1 = 14 - 6 = 8 minutes

From the box plot for River Rapids, we can see that Q1 is about 8 and Q3 is about 16. Therefore, the IQR for River Rapids is:

 River Rapids IQR = Q3 - Q1 = 16 - 8 = 8 minutes

Therefore, the IQR for both runs is 8 minutes.

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Answer: HERE IS THE ANSWER BELOW :)

die

Step-by-step explanation:

The expression 1,436,492÷2 has a value of 718246 when evaluated because we divided the numbers

From the question, we have the following parameters that can be used in our computation:

1,436,492÷2

The above statement is a quotient expression that divide the values of 1,436,492 and 2

Also, there is no need to check if there are like terms in the expression or not

This is  because we are dividing the factors

So, we have

1,436,492÷2 = 718246

This means that the value of the expression is 718246

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The correct vocab in written as;

DC = semi-circle

<ECD = minor arc

<ECF = point of tangency

CF = chord

To determine the corresponding terms, we need to take note of the following definitions;

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The degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock at 2:48 is 85 degrees.

The hour hand is between the 2 and the 3, and since it's 2:48, it's closer to the 3. To be more precise, it's at 2.8 on the clock face .

The minute hand is pointing at the 8, as it's 48 minutes past the hour.

To find the angle between the hands, we need to find the difference between their positions and multiply it by 30 .

So the angle formed by the hour and minute hands at 2:48 is:

| 30 × (2.8/12 - 8) | = | -85 | = 85 degrees.

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When the temperature increases and the water vapor content in the air stays the same, the relative humidity decreases. This is because warmer air can hold more moisture than colder air, and therefore the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor that the air can hold decreases as the air temperature increases.

Relative humidity depends on two factors: the amount of water vapor present in the air and the maximum amount of water vapor that the air can hold at a given temperature. As the temperature rises, so does the amount of water vapor that the air can hold, since warm air has more energy to hold the water molecules in vapor form. This reduces the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor the air can hold, resulting in lower relative humidity.

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The amount of fabric that should be used to build a kite with the above given dimensions would be = 2,285.125cm²

To calculate the area of a kite the formula that should be used would be = 1/2 d1d2

where d1 = 50½cm

d2 = 90½cm

The area of the kite;

= 1/2 × 50.5×90.5b

= 4570.25/2

= 2,285.125cm²

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Answer:the first one

Step-by-step explanation:

The function that models the total amount of money Julia has after x weeks is f(x) = 27x + 254

An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.

Let f(x) represent the total amount of money Julia has after x weeks.

Julia has $254 and saves $27 each week, hence:

f(x) = 27x + 254

The function is f(x) = 27x + 254

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The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.

The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.

⇒ For the first bag of dog food:

The Cost is = $10.47,

The Weight is = 6.08 kg,

So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,

⇒ For the second bag of dog food:

The Cost is = $13.88,

The Weight is = 7.48 kg,

So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,

Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.

Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.

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The given question is incomplete, the complete question is

Justin paid $10.47 for a 6.08-Kg bag of dog food.  A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

The general form of the equation is x² + y² - 10x - 12y + 60 = 0.

The general form of the equation of a circle is given by:

x² + y² + Cx + Dy + E = 0

Where C, D and E are constant

Given the standard form of the equation of a circle as (x−5)² + (y−6)² = 1, we can rewrite it as follow:

(x−5)² + (y−6)² = 1

(x² - 10x + 25) + (y² - 12y + 36) = 1        (Expand the brackets)

x² + y² - 10x - 12y + 25 + 36 - 1 = 0

x² + y² - 10x - 12y + 60 = 0

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Answer:

∠A=∠P, AC = PR

Step-by-step explanation:

Because triangles ABC and PQR are congruent their corresponding angles and sides are congruent.

So

∠A=∠P

∠B=∠Q

∠C=∠R

Also

Side AB = Side PQ

Side BC = Side QR

Side AC = Side PR

If you use the normal distribution to estimate the probability that score exceeds 100, the answer would be zero.

This is because a normal distribution is a continuous probability distribution, and the probability of any individual score, no matter how high or low, is always zero.

However, this answer contradicts the assumption of a normal distribution for scores because it implies that scores cannot exceed 100, which is not true. Scores can theoretically range from negative infinity to positive infinity, and in practice, there may be some scores above 100, especially if the measurement instrument is imprecise or the test is very difficult.

Therefore, if we observe scores that are higher than 100, it suggests that the assumption of a normal distribution may not be appropriate for the data, and we may need to use a different distribution or statistical model to estimate probabilities or make inferences about the scores.

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The IQR is the best measure of variability, and it equals 3.

The appropriate measure of variability for the data in the box plot is the interquartile range (IQR), which is a measure of the spread of the middle 50% of the data.

From the box plot, we can see that the lower quartile (Q1) is located at 17, the upper quartile (Q3) is located at 20, and the median is located at 19. The IQR can be calculated as the difference between the upper and lower quartiles:

IQR = Q3 - Q1 = 20 - 17 = 3

Therefore, the IQR is 3 and it is the best measure of variability for the given data. The range, which is the difference between the maximum and minimum values (24 - 12 = 12), is not the best measure of variability in this case because it is affected by extreme values that may not be representative of the typical spread of the data.

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The train travels a distance of 120 kilometers.

To calculate the distance traveled by the train, we can use the formula:

Distance = Speed × Time

Given that the train travels at a consistent speed of 480 km/h and the time is one-fourth of an hour, we can substitute these values into the formula:

Distance = 480 km/h × (1/4) hour

To simplify the calculation, we can convert one-fourth of an hour to minutes. Since there are 60 minutes in an hour, one-fourth of an hour is equal to (1/4) × 60 minutes = 15 minutes.

Now, we can calculate the distance:

Distance = 480 km/h × (1/4) hour

= 480 km/h × (1/4) × 60 minutes / 60 (converting hours to minutes)

= 480 km/h × 15 minutes / 60

= 480 km/h × 0.25

= 120 km

Therefore, distance travelled by train is 120 kilometers.

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Answer:

22

i took this one

Answer:

17.5

Step-by-step explanation:

94 divided by 4 is 23.5 and I subtracted 6 from 23.5

Answer: 136

Step-by-step explanation: it's the only big number

The following are the correct vertical translation and you can use this information to fill the table in the picture:

A vertical translation refers to a type of transformation that moves a function or graph vertically up or down without changing its shape. Specifically, a vertical translation of distance c is given by the function:

f(x) + c

where f(x) is the original function and c is a constant that determines the amount and direction of the translation. If c is positive, the graph of the function is shifted upwards; if c is negative, the graph is shifted downwards.

For example, the function f(x) = x^2 has a graph that is a parabola opening upwards. If we apply a vertical translation of 2 units, the resulting function is:

f(x) + 2 = x^2 + 2

The graph of this function is also a parabola, but it has been shifted vertically upwards by 2 units. Similarly, a vertical translation of -3 units would give us the function f(x) - 3 = x^2 - 3, which is the same parabola shifted downwards by 3 units.

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They should mix 16 pounds of City Roast Columbian coffee with 4 pounds of French Roast Columbian coffee to make their blend.

Let x be the number of pounds of City Roast Columbian coffee.

Let y be the number of pounds of French Roast Columbian coffee.

The total cost of the blend is 7.80x + 8.10y

The total weight is x + y = 20.

We can write an equation for the cost per pound:

(7.80x + 8.10y) / 20 = 7.86.

We will multiply both sides by 20 which gives:

7.80x + 8.10y = 157.20.

We can use this equation along with the total weight equation to solve for x and y:

x + y = 20

y = 20 - x (subtract x from both sides)

7.80x + 8.10(20 - x) = 157.20 (substitute y = 20 - x into the cost equation)

7.80x + 162 - 8.10x = 157.20 (distribute)

-0.30x = -4.80

x = 16

Solve for the equation (x + y = 20):

y = 20 - x

y = 20 - 16

y = 4.

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Answer:

D) a trapezoid with congruent diagnols

Explanation:

When none of the sides of a trapezoid are congruent, then it is a non isosceles trapezoid or a scalene trapezoid.

The two solutions that satisfy the equation 3x^2 + 2x = 6 when rounded to two decimal places are x = 1.12 and x = −1.79. So, correct option is A.

To solve for x in the equation 3x^2 + 2x = 6, we need to rearrange the terms and use the quadratic formula:

3x^2 + 2x - 6 = 0 (subtract 6 from both sides)

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

In this equation, a = 3, b = 2, and c = -6, so we can substitute those values into the quadratic formula:

x = (-2 ± √(2^2 - 4(3)(-6))) / 2(3)

x = (-2 ± √(4 + 72)) / 6

x = (-2 ± √(76)) / 6

Simplifying this expression, we get:

x = (-2 ± 2√(19)) / 6

x = (-1 ± √(19)) / 3

Rounding these solutions to two decimal places, we get:

x = -1.79 or x = 1.12

Therefore, the answer is (a) x = 1.12 and x = -1.79.

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Answer:

x = 1.12 and x = −1.79

Step-by-step explanation:

i got it right on my quiz

Answer:

9/4.

Step-by-step explanation:

Hope this helps! =D

The lowest price of the product that gives a monthly profit of $1550 is $25.

To find the lowest price of the product that gives a monthly profit of $1550, we can substitute P = 1550 into the profit equation P = -x + 105x - 1050 and solve for x.

P = -x + 105x - 1050

1550 = -x + 105x - 1050 (Substitute P = 1550)

1550 + x = 105x - 1050 (Add x to both sides)

x + 1050 = 105x - 1550 (Add 1550 to both sides)

1050 = 105x - x - 1550 (Rearrange terms)

1050 = 104x - 1550 (Combine like terms)

1050 + 1550 = 104x (Add 1550 to both sides)

2600 = 104x (Combine like terms)

2600/104 = x (Divide both sides by 104)

25 = x (Simplify)

So, the lowest price of the product that gives a monthly profit of $1550 is $25.

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