Draw a box plot for each set of data. {65,92,74,61,55,35,88,99,97,100,96} Cost of MP3 Players ($)

Answer:

diagram shows a person and her twin at equal distances on opposite sides of a thin wall. Suppose a window is to be cut in the wall so each twin can see a complete view of the other. Show the size and location of the smallest window that can be cut in the wall to do the job.

Step-by-step explanation:

Answer:

-8 29/20

Step-by-step explanation:

Answer: -8  29/40

Step-by-step explanation:

Answer:

\(4\sqrt{5}\)

Step-by-step explanation:

\(\sqrt{80}\)

\(\sqrt{16} \sqrt{5}\)

\(4\sqrt{5}\)

Answer:

2.964

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3/9ths

Step-by-step explanation:

Answer: 90.2

Step-by-step explanation:

The area of the rectangle with sides of 30 cm and 50 cm is 0.15 square meters (m²) in SI units.

To find the area of a rectangle with sides of 30 cm and 50 cm, we use the formula:

Area = length x width

where length and width are the sides of the rectangle.

Substituting the given values, we get:

Area = 30 cm x 50 cm = 1500 cm²

To convert this area to SI units, we use the conversion factor 1 m = 100 cm, which gives:

Area = 1500 cm² x (1 m / 100 cm)² = 0.15 m²

Therefore, the area of the rectangle with sides of 30 cm and 50 cm is 0.15 square meters (m²) in SI units.

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Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

\(\displaystyle g'(s) = (s-s^4)^6\)

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
\(\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)\)

Where a is some constant.

We can let:
\(\displaystyle g(t) = (t-t^4)^6\)

By substitution:

\(\displaystyle g(s) = \int_6^s g(t)\, dt\)

Taking the derivative of both sides results in:
\(\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]\)

Hence, by the Fundamental Theorem:

\(\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}\)

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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Answer:

1/6

Step-by-step explanation:

The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.

Answer: The width of the rectangular window is 53 cm.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula:

Area = Length x Width

Substituting the given values, we have:

3816 cm² = 72 cm x Width

To solve for the width, we can divide both sides by 72 cm:

Width = 3816 cm² ÷ 72 cm

Width = 53 cm

Therefore, the width of the rectangular window is 53 cm.

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

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

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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If a desk is on sale for $391, which is 68% of the regular price then the regular price of the desk is $575.

Let the regular price "x".

We know that the sale price is 68% of the regular price, which can be written as:

Sale price = 0.68 × x

We also know that the sale price is $391

so we can set up an equation:

0.68 × x = 391

To solve for x, we can divide both sides by 0.68:

x = 391 / 0.68

Using a calculator or long division, we get:

x = 575

Therefore, the regular price of the desk is $575.

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Answer:

24

Step-by-step explanation:

To find the slope of the expression:

We need to remember that this is the Slope-intercept Form of the line equation:

Where

m = slope

b is the y-intercept.

Therefore, the slope of the line equation above is m = 3.

The formula that will be useful in finding the area of the triangle is: Pythagoras theorem

The formula to find the area of the triangle is expressed by the formula:

A = ¹/₂bh

Where:

b is base

h is height

Now, we have the base but we don't have the height.

Pythagoras Theorem is defined as the way in which we find the missing length of a right angled triangle.

The triangle has three sides, namely the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

where c is the hypotenuse

Thus, to find the height of the triangle, we will use Pythagoras theorem to get:

h = √(6² - 4²)

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Answer:

200 is your answer

Step-by-step explanation:

First, multiply:

8 × 5 × 4 = 160

Then, multiply:

4 × 5 × 2 = 40

Next, add them up.

160 + 40 = 200

Lastly, have a great day!

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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Carton’s error is that she incorrectly broke up 2 and two-fifths.

The equation at the start is:

-9 * (2 + 2/5)

Step 1 : -9 * (2 + 2/5)

Step 2 : -9 * 2 +(-9)* 2/5

Step 3 : -18 + (-18/5)

Step 4 : -108/5

The correct answer should be -108/5, but since Carton made an error handling the fraction part, it becomes incorrect. The mistake is made by Carton at Step 3 while breaking up the fractions.

Hence, Catron’s error can be described by: She incorrectly broke up 2 and two-fifths.

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it would be 4 right. if aces are 1 and you draw one card

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:  The correct answer is y-intercept = -1

Step-by-step explanation:

The table provided:

   x    y

  5     4

  6     5

Find the slope:

Slope (m) = ΔY/ΔX = 1/1 = 1

The slope-intercept form for this line: y = x – 1

The graph is provided below.

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The Born exponent or interatomic potential energy for Rbl is 11 ( approximately). The correct option is D).

The Born exponent for RbI can be calculated using the relationship between the Born exponent and the interionic distance. The Born exponent is defined as the ratio of the repulsive to attractive contributions to the interatomic potential energy, and it depends on the charges and sizes of the ions.

For Rb+ and I-, the Born exponents are 10 and 12, respectively. This means that the repulsive interaction between Rb+ and I- is weaker than the attractive interaction, as the repulsion is proportional to Rb+^10 and the attraction is proportional to I^-12. Therefore, the attractive interaction dominates.

For RbI, we can use the relationship between the Born exponent and the interionic distance to calculate the Born exponent. This relationship is given by:

B = (1/d) * ln[(l1 + l2)/|l1 - l2|]

where B is the Born exponent, d is the interionic distance, and l1 and l2 are the ionic radii of the cation and anion, respectively.

Assuming the ionic radii of Rb+ and I- are additive, we have:

l1 + l2 = l(RbI) = l(Rb+) + l(I-) = 1.52 + 1.81 = 3.33 Å

|l1 - l2| = |l(Rb+) - l(I-)| = |1.52 - 1.81| = 0.29 Å

Substituting these values into the equation for B, we get:

B = (1/d) * ln[(l1 + l2)/|l1 - l2|] = (1/d) * ln[3.33/0.29] ≈ 11.02

Therefore, the Born exponent for RbI is approximately 11.02.

The correct answer is D).

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The expected hourly payoff of Denis's plan to seek employment at Roberto's Restaurant is $16.50.

To calculate the expected hourly payoff of Denis's plan, we need to consider the probabilities of each step and the respective pay rates.

1. Probability of becoming a waiter: 60% (0.60)

  Pay rate as a waiter: $10 per hour

2. Probability of being promoted to cook given he becomes a waiter: 50% (0.50)

  Pay rate as a cook: $15 per hour

3. Probability of being promoted to manager given he becomes a cook: 40% (0.40)

  Pay rate as a manager: $25 per hour

Now, let's calculate the expected hourly payoff:

Expected hourly payoff = (Probability of each step) * (Pay rate at each step)

Expected hourly payoff = (0.60 * $10) + (0.60 * 0.50 * $15) + (0.60 * 0.50 * 0.40 * $25)

Expected hourly payoff = $6 + $4.50 + $6

Expected hourly payoff = $16.50

Therefore, the expected hourly payoff of Denis's plan to seek employment at Roberto's Restaurant is $16.50.

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The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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