use proof by case to show that min(a, min(b, c)) = min(min(a, b), c) where a, b, and c are integers.

The event for which the probability can be calculated from the two events given is event B.

Given that:

Mean = 2.5 children per family

Standard deviation = 1.3 children per family

Here, for event B, the sample size is going to take 40.

So, the distribution can be formulated to be approximately normal distribution since the sample size is 40 which is greater than 30.

So, the mean is the same which is 2.5.

The standard deviation can be calculated as 1.3/√40.

So, event B can be calculated for the probability.

Hence the event is event B.

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The complete question is given below:

The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.

Event A: Randomly selecting a family from the United States that has 3 or more children.

Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

The probability of one of the two events can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated?

The interquartile range for the data set are

Andre

Interquartile Range: = 2

For Lin

Interquartile Range = 8

For Noah

Interquartile Range = 8

For Andre

Min: 25 the minimum number

Q1: 27 (the third position)

Median: 28 (the sixth position)

Q3: 29 (the 9th position)

Max: 30 (the maximum number)

Interquartile Range: Q3 - Q1 = 29 - 27 = 2

For Lin

Min: 20 the minimum number

Q1: 21 (the third position)

Median: 28 (the sixth position)

Q3: 29 (the 9th position)

Max: 32 (the maximum number)

Interquartile Range: Q3 - Q1 = 29 - 21 = 8

For Noah

Min: 13 the minimum number

Q1: 15 (the third position)

Median: 20 (the sixth position)

Q3: 23 (the 9th position)

Max: 25 (the maximum number)

Interquartile Range: Q3 - Q1 = 23 - 15 = 8

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Pythagoras theorem is used to find the length of sides in geometry. The number of strips of Balsa wood having length of 13cm is  8 approximately.

Pythagoras theorem states that the square of the hypotenuse in a right angled triangle is equal to the sum of the squares of the remaining two sides.

Given that,

The length of each pole = 100cm.

The distance between the pole = 12cm.

The length of each strip of Balsa wood = 13cm.

The diagram for the given question is as follows,

Apply Pythagoras theorem, h² = p² + b² in the given triangle to find the hypotenuse as,

h² = 100² + 12²

=> h² = 10144

=> h = 100.71

Now, the number of strips of balsa wood is equal to hypotenuse divided by 13 which is given as,

100.71 ÷ 13 = 7.74.

Hence, the number of small strips of Balsa wood is 8 approximately.

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Answer:1.6 hours.

Step-by-step explanation: 11/7=1.57142857 rounding to the tenth you get 1.6

Answer:

6.75 $

Step-by-step explanation:

25%

= 25 / 100

= 1 / 4

25% of $ 27

= ( 1 / 4 ) x ( 27 )

= ( 1 x 27 ) / 4

= 27 / 4

= 6.75 $

Answer:

$20.25

Step-by-step explanation:

Answer:

I think its

Step-by-step explanation:

left second one

The slope of this graph is equal to 2.

In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given points into the formula for the slope of a line, we have the following;

Slope, m of graph = (80 - 0)/(100 - 60)

Slope, m of graph = 80/40

Slope, m of graph = 2.

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The difference between new garden and the original garden is 4x + 5.

We have,

Area of yard = 3x² m²

New Area = 3x² + 4x + 5

So, the difference in

= (3x² + 4x + 5) - 3x²

= 3x² + 4x + 5 -3x²

= 3x² -3x² + 4x + 5

= 4x + 5

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Answer:

A. 90 degrees

Step-by-step explanation:

Look this picture :]

Answer:

\(2\frac{7}{16}\)  inches

Step-by-step explanation:

Since 1 mi = 5,280 ft., to convert miles to feet, multiply by 5,280.

96 mi. = 96(5,280 ft.)

96 mi. = 506,880 ft.

Since 1 ft. = 12 in., to convert feet to inches, multiply by 12.

506,,800 ft. = 506,880(12 in.)

506,880 ft. = 6,082,560 in.

The map scale is 1 in. represents 2,500,000 in.

\(\frac{6,082,560}{2,500,00} = 2.4330...\)  

The distance on the map between Nanaimo and Campbell River is approximately \(2\frac{7}{16}\)

Answer:

y = 3/2x+5

Step-by-step explanation:

1) The price of part A is increasing by 3% per year.

2) Product A recorded a greater percentage change in price over the previous year.

The percentage change in price is calculated by the formula,

% change = (New price - old price)/old price × 100

If the difference between the new price and the old price is positive, then it is said to be increasing and if it is negative, it is said to be decreasing.

It is given that,

Maco is studying the change in the price of two products, A and B, over time.

Part A: For product A, the price in dollars is given by f(x) and the time is given by x.

I.e., f(x) = 0.69(1.03)ˣ

From this, product A has f(1) = 0.69(1.03)¹ = 0.71 and f(2) = 0.69(1.03)² = 0.73.

Then, the difference between f(2) and f(1) for product A is

f(2) - f(1) = 0.73 - 0.71 = 0.02

So, the % change of product A is increasing per year and it is

% increase = (f(2) - f(1))/f(1) × 100 = (0.02/0.71) × 100 = 2.89 ≅ 3%

Thus, the percentage of increase in product A is 3%.

Part B: For product B, the price in dollars is given by f(t) and the time is given by t.

I.e.,

t (in years)  -  1        2          3               4  

f(t) (price) - 10,100  10,201  10,303.01  10,406.04

From this, product B has f(1) = 10,100 and f(2) = 10,201

Then, the difference between f(2) and f(1) for product B is

f(2) - f(1) = 10,201 - 10,100 = 101

So, the % change of the product B is increasing per year and it is

% increase = (f(2) - f(1))/f(1) × 100 = (101/10100)× 100 = 1%

Therefore, product A has a greater percentage of increase than product B.

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The measure of the third angle in Elise angle measurement is

The third angle of the triangle is solved with knowledge of sum of angles on a triangle being equal to 180 degrees and a triangle having three angles

say the third angle measure is x, so we have that

30 + 100 + x = 180

130 + x = 180

collecting like terms

x = 180 - 130

x = 50

we can therefore say that the third angle is 50 degrees

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Answer:

67 percent wouldnt it?

Answer:

t2-t1 =43-40

Step-by-step explanation:

you subtract the second term by the first term to get the common difference

The probability that he will reach out into his pocket and pull out a $10 bill each time is 1/7. The correct option is the second option 1/7

From the question, we are to determine the probability of William pulling out a $10 bill twice without replacement

The probability of pulling out a $10 bill on the first draw is 3/7, since William has three $10 bills out of a total of seven bills in his wallet.

Since William does not replace the first bill when he pulls out the second one, there will be one less bill in the wallet for the second draw. Therefore,

The probability of pulling out another $10 bill on the second draw is 2/6 (since there will be two $10 bills left out of six bills in the wallet).

Thus,

The probability that he will reach out into his pocket and pull out a $10 bill each time is

P(two $10 bill) = 3/7 × 2/6

P(two $10 bill) = 3/7 × 1/3

P(two $10 bill) = 1/7

Hence, the probability is 1/7

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Answer:

x = 17

Step-by-step explanation:

The triangle is a 45-45-90 triangle. Also, you can take all of the angles of a triangle and set it equal to 180 like this:

(x + 17) + (4x - 34) + (6x + 10) = 180

x = 17

For the month of November, there has been a depreciation of almost $1,089.60.

By deducting the expected residual value from the cost of the tractor and dividing the result by the total projected operational life in hours, let's first get the depreciation per hour:

A tractor's depreciation per hour is calculated by deducting the residual value from the purchase price, and multiplying the result by the number of hours the tractor will be in use.

\(\rm D = \dfrac {136,700 - 14,500} { 18,800}\\D = \$6.81\)

Multiplying the depreciation per hour by the number of hours the tractor was used to get the depreciation for the month of November

\(D_m = 6.81 \times 160\\D_m = \$1,089.60\)

Therefore, for the month of November, there has been a depreciation of almost $1,089.60.

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Therefore, the resulting error in the volume of the sphere is approximately 1.13 cubic inches.

To estimate the resulting error in the volume of the sphere, we can use linear approximation. The formula for the volume of a sphere is given by:

V = (4/3)πr³

where V is the volume and r is the radius.

The linear approximation formula is given by:

ΔV ≈ dV/dr × Δr

where ΔV is the resulting error in the volume, dV/dr is the derivative of the volume with respect to the radius, and Δr is the error in the radius.

Taking the derivative of the volume formula with respect to the radius, we have:

dV/dr = 4πr²

Given that the radius is claimed to be 3.0 inches, correct to within 0.01 inch, we can consider the error (Δr) to be 0.01 inch.

Now we can substitute the values into the linear approximation formula:

ΔV ≈ dV/dr × Δr

ΔV ≈ (4π(3.0)²) × 0.01

ΔV ≈ (4π(9.0)) × 0.01

ΔV ≈ (36π) × 0.01

ΔV ≈ 0.36π

Approximating π to be 3.14, we can calculate the resulting error:

ΔV ≈ 0.36π

ΔV ≈ 0.36 × 3.14

ΔV ≈ 1.13 cubic inches

Therefore, the resulting error in the volume of the sphere is approximately 1.13 cubic inches.

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Answer:

A

Step-by-step explanation:

pgt states if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Answer:

Does the answer help you?

The measure of the length of the given arc is 16.5 m.

Given that a circle with radius 7 m we need to find the length of an arc which has a central angle of 135°,

The length of an arc = central angle / 360° × π × diameter

= 135° / 360° × 3.14 × 14

= 16.5 m

Hence, the measure of the length of the given arc is 16.5 m.

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One-sided confidence interval which have the smallest margin of error.

Given that;

Researchers want to decrease the margin of error by adjusting the confidence level.

You cannot be completely certain of the true value of a parameter, such as the mean, if your confidence interval is too broad. However, there are a number of methods you may do to narrow a confidence interval and improve the accuracy of your estimate. The following characteristics have an impact on the confidence interval's width.

one-sided confidence interval:

The margin of error is lower for a one-sided confidence interval than a two-sided confidence interval. A one-sided interval, however, merely shows whether a parameter is larger or less than a cut-off number. A one-sided interval does not reveal anything regarding the parameter's value when viewed from the other direction. Therefore, only use a one-sided confidence interval to boost an estimate's precision when you are concerned that it will either be higher or lower than a cut-off value, but not both.

Hence, we use one-sided confidence interval which have the smallest margin of error.

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Answer:

210 x 297 mm

Hope that this helps!

Answer: 2.54167 another way to write it 2 13/24 gallons of water jake put in his water.

Step-by-step explanation:

Answer:

A. -0.8x + 4.8y + 16

Step-by-step explanation:

Solved using distributive property

Let's find out

\(\\ \tt\Rrightarrow 4(0.5x+2.5y-0.7x-1.3y+4)\)

\(\\ \tt\Rrightarrow 4(-0.2x+1.2y+4)\)

\(\\ \tt\Rrightarrow -0.8x+4.8y+16\)

Option A

Answer:

a

Step-by-step explanation:

because im learning it too

Answer:

a

Step-by-step explanation:

I passed that assignment