Coats are highly seasonal items. Their highest selling month is 450% of their lowest selling month. During the lowest selling month, they sell 360 units. How many units do they sell during the peak month?.

The value of each side of the right-angled triangle is:

(x+10) = 13.5 + 10 = 23.5;

(x + 4) = 13.5 + 4 = 17.5;

(x + 2) = 13.5 + 2 = 15.5;

What is a Right angled Triangle?

Any two sides of a triangle three sides must always add up to more than the third side since a triangle is a regular polygon with three sides. This distinguishing characteristic of a triangle. In other words, any closed shape with three sides whose internal angles add up to 180° is said to be such. A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse. The right triangle's three sides are interconnected. The Pythagorean Theorem explains this connection. This theorem states that the hypotenuse of a right triangle equals the perpendicular and the base.

Here, It is given:

The sides of the triangle are: (x+10); (x+4); and (x+2);

\((\text { Hypotenuse })^2=(\text { Base })^2+(\text { Perpendicular })^2\)

\($\because(x+10)$ is the biggest side.$$\begin{aligned}&\therefore(x+10)^2=(x+4)^2+(x+2)^2 \\&\Rightarrow x^2+100+20 x=x^2+16+8x+x^2+4+4x \\&\Rightarrow x^2+20+12x=20x+100 \\&\Rightarrow x^2-8x+80=0 \\\end{aligned}$$\)

Solving the equation, we get the value of x:

x = 13.5;

So, The sides are:

(x+10) = 13.5 + 10 = 23.5;

(x + 4) = 13.5 + 4 = 17.5;

(x + 2) = 13.5 + 2 = 15.5;

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Answer:

16 candy bars

Step-by-step explanation:

We know

Each candy bar cost costs $0.75

Billy buys candy bars for $12.50

How many candy bars did he buy?

We take

$12.50 divided by $0.75 = 16 candy bars

So, he bought 16 candy bars.

Answer:

16 2/3 candy bars.  Usually you cannot buy 2/3 of a candy bar so I am wondering if a number was copied incorrectly.

Step-by-step explanation:

12.50/.75 = 16 2/3 candy bars

16 candy bars would cost $12.00

16 x .75 = 12.00

the equation of the horizontal line passing through (-3, 4) is y = 4.

The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.

Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.

In other words, all the points on this line will have a y-coordinate of 4.

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Complete question is below

Write the equation of the horizontal line that passes through (-3, 4).

The equation for the horizontal line that passes through a given point is y = b.

A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.

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Answer:

3 ft

Step-by-step explanation:

We can use a ratio to solve

Using x as the length of the model

1           x

----- = -----------------

12            36 ft

Using cross products

1 * 36 = 12x

Divide each side by 12

36/12 = 12x/12

3 =x

Answer:

Step-by-step explanation:

\(\frac{1}{x}\) : \(\frac{12}{36}\)

12x and 36

divide 36 by 12

36/12 = 3

3in

The more accurate method for calculating the total energy converted would be calculating the energy converted from the average power and total time.

To do this, follow these steps:

1. Determine the average power (in watts) during the given time period.
2. Calculate the total time (in seconds) of the conversion process.
3. Use the formula: Energy (in joules) = Average Power (in watts) x Total Time (in seconds).

This method provides a more accurate representation of the energy conversion as it takes into account the overall average power and time, rather than making multiple separate calculations and adding them together, which could result in potential discrepancies due to varying power levels throughout the process.

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Answer:

(5x - 1)(2y - 3)

Step-by-step explanation:

10xy - 15x - 2y + 3 = 5x (2y - 3) - (2y - 3) = (5x - 1) (2y - 3)

Answer:

∠C = 132°

Step-by-step explanation:

∠B and ∠C form supplementary angles meaning they add up to 180°.

180 - 48 = 132

Therefore, m∠C = 132°.

Answer:

To calculate x-y, we need to know the values of x and y. However, since we only have seven out of the eight values in the sequence, we cannot determine the values of x and y with certainty.

One approach to estimating x-y is to find the average value of the sequence and assume that x and y are close to this average.

The average of the given values is:

(8 + 7 + 11 + 10 + 14 + 13 + x + y) / 8 = (63 + x + y) / 8

If we assume that x and y are close to the average, we can set x = y = (63 + x + y) / 8, which gives:

x + y = 63 + x + y

x - y = 0

Therefore, an estimate for x-y based on this assumption is 0. However, without more information about the sequence, we cannot determine the actual value of x-y.

Therefore , the solution of the given problem of equation comes out to be y = (-1/5)x + 4 is the required equation.

The equivalent sign (=) is used in arithmetic equations to signify the equality of two propositions. It is shown that it is possible to compare various numerical factors by using mathematical techniques, which have served as manifestations of reality. For instance, the equal sign divides the number 12 even the solution y + 6 = 12 in two distinct portions. How many characters also are present from either end of such a character can be calculated. Conflicting symbol readings are prevalent.

Here,

The given equation of line j is y+5=5(x+5) which can be rewritten in slope-intercept form as y = 5x + 20.

Since line k is perpendicular to line j, the slope of line k will be the negative reciprocal of the slope of line j. The slope of line j is 5, so the slope of line k will be -1/5.

We are also given that line k includes the point (5,3). We can use this point and the slope of line k to find the equation of line k using point-slope form:

y - 3 = (-1/5)(x - 5)

Simplifying and rearranging, we get:

y = (-1/5)x + 4

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If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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Answer:

5:05

6

10

Step-by-step explanation:

3:30 + 1 hour = 4:30

4:30 + 35 mins = 5:05 pm

5 days per 1 gallon, 30 days for :

30/5 = 6

500/50 = 10

Answer:

-385

a negative is nice

Step-by-step explanation:

Answer:

i got 45 but I'm not sure

Step-by-step explanation:

so if he is saving up fot the skate board,

you would need to multiply 40 × 3 that will give you 120, then after that I subtracted 85 from 120 and got 45 but like I said I'm not so sure

Answer:

7/36

Ask me if you need the steps (:

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

Positive interval: x is in (-5, infty)

Negative interval: x is in (-infty, -5)

Step-by-step explanation:

A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.

Positive interval: x is in (-5, infty)

A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.

Negative interval: x is in (-infty, -5)

A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.

Answer:

you would role 2 about 67 times

Step-by-step explanation:

Answer:

67 times

Step-by-step explanation:

The probability of rolling a 2 is:

P(2) = number of 2's on a die / total sides on a die.

P(2) = 1/6

Multiply this probability by the number of rolls.

P(2) * 400

1/6 * 400

66 2/3

Rounding up.

67 times

Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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The solutions to the given algebraic expressions are;

1) 3x + 4 = 7x - 8; Letter C

2) 2x = 7x - 5; Letter E

3) 5x - 8 = 5x + 12; Letter D

1) We are given the algebraic expression as;

3x + 4 = 7x - 8

Add 8 to both sides to get;

3x + 12 = 7x

Subtract 3x from both sides to get;

12 = 4x

divide both sides by 4 to get;

x = 3

2) 2x = 7x - 5

Add 5 to both sides to get;

2x + 5 = 7x

Subtract 2x from both sides to get;

5x = 5

divide both sides by 5 to get;

x = 1

3) 5x - 8 = 5x + 12

Subtract 5x from both sides gives;

-8 = 12

Thus, no solution

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Answer:

6 days

Step-by-step explanation:

Answer:

he had the tux for 6 days because he paid the cleaning fee

Step-by-step explanation:

If the volume of a tank is 4,750 cubic centimeters, the volume of the tank in cubic meters is 0.00475 m³.

To convert the volume of the tank from cubic centimeters to cubic meters, follow these steps:

Step 1: Understand the conversion factor between cubic centimeters and cubic meters.

There are 1,000,000 cubic centimeters in 1 cubic meter

(1 cm³ = 0.000001 m³ or 1 m³ = 1,000,000 cm³).

Step 2: Divide the volume of the tank in cubic centimeters by the conversion factor.

In this case, divide 4,750 cm³ by 1,000,000.

Step 3: Perform the calculation:

4,750 cm³ ÷ 1,000,000 = 0.00475 m³.

So, the volume of the tank in cubic meters is 0.00475 m³.

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Answer:

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

Step-by-step explanation:

Slope-intercept form is y = mx + b

Lambda cap is an unbiased estimator of lambda.

Lambda cap = (1/n) * Σ^n_i=1 X_i is an efficient estimator for lambda

To show that lambda cap = (1/n) * Σ^n_i=1 X_i is an efficient estimator for lambda, we need to demonstrate that it is unbiased and achieves the minimum variance among all unbiased estimators.

Unbiasedness:

To show that lambda cap is unbiased, we need to show that its expected value is equal to lambda.

E(lambda cap) = E((1/n) * Σ^n_i=1 X_i)

= (1/n) * Σ^n_i=1 E(X_i) [since expectation is a linear operator]

= (1/n) * Σ^n_i=1 lambda [since E(X_i) for a Poisson distribution with parameter lambda is lambda]

= lambda.

Minimum Variance:

To show that lambda cap achieves the minimum variance, we can calculate its variance and compare it with the variances of other unbiased estimators of lambda.

Var(lambda cap) = Var((1/n) * Σ^n_i=1 X_i)

= (1/n^2) * Σ^n_i=1 Var(X_i) [since variance of a sum is the sum of variances for independent random variables]

= (1/n^2) * Σ^n_i=1 lambda [since Var(X_i) for a Poisson distribution with parameter lambda is lambda]

= lambda/n.

The Cramer-Rao lower bound states that the variance of any unbiased estimator of a parameter must be greater than or equal to the reciprocal of the Fisher information. In the case of the Poisson distribution, the Fisher information for the parameter lambda is equal to lambda.

Since Var(lambda cap) = lambda/n, which is equal to the reciprocal of the Fisher information, lambda cap achieves the minimum variance among all unbiased estimators of lambda.

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.

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

The probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A large high school offers AP Statistics and AP Calculus. Among the seniors in this school,

Probabily of hapnning event A or event B, but not both can be given as,

\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

In the problem, we have,

\(P(A)=0.65\\P(B)=0.45\\P(A\cap B)=0.30\)

Put the values in the above formula as,

\(P(A\cup B)=0.65+0.45-0.30\\P(A\cup B)=0.80\\P(A\cup B)=80\%\)

Thus, the probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.

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If Mr. Jeff divided his money in the ratio 4:2 between Jon and Jack. Jon got the smaller amount of $1,256 and Jack received $628.

First, we need to find the total amount of money that Mr. Jeff divided. To do this, we add the ratio values:

4+2=6

This means that the money was divided into 6 equal parts. To find the value of one part, we divide the total amount by 6:

Total amount/6 = Value of one part

Now we can set up an equation to solve for Jack's share. Let's call the value of one part "x":

4x + 2x = Total amount

Simplifying this equation, we get:

6x = Total amount

Now we can substitute the given information:

4x = $1,256

Solving for "x", we get:

x = $314

Now we can find Jack's share by multiplying his ratio value by the value of one part:

2 x $314 = $628

Therefore, Jack received $628.

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The value of the unknown variable, m in the equation 4m / 3 = 8 is 6. option B

4m / 3 = 8

4m = 8 × 3

4m = 24

m = 24/4

m = 6

let

three more than twice as many pounds of apples as bananas.

a = 2b + 3

If you bought seven pounds of apples, how many pounds of bananas did you buy?

b = 7 pounds

a = 2b + 3

7 = 2b + 3

7 - 3 = 2b

4 = 2b

b = 4/2

b = 2 pounds

So therefore, the correct equation and solution for this problem is 2p + 3 = 7; p = 2 pounds. option D

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Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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Answer:

1.2

Step-by-step explanation:

I did the teat and it was correct on

Answer:

(1) 1.2 inches