find the number of different ways that an instructor can choose 3 students from a class of 24 students for a field trip.

The function is increasing in the intervals: (-∞, -3) and (2, 5)

If you want to guarantee that two cards are from the same suit, you need only draw five cards (since there is no way you can draw five cards without at least two of them being the same suit)

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

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Answer:

\(43.1 ^{\circ}F\)

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of \(1.7 ^{\circ}F\) in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 \(^{\circ}F/\text{ft}\).

If the change in height is \(\Deltah\)\(\Delta h\) feet, the temperature drop,

\(\Delta T= \Delta h R \;^{\circ}F\cdots(i)\)

The temperature on the ground is 49.9 \(^{\circ}F\).

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

\(\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.\)

Hence, the temperature at an altitude of 4000 feet \(= 49.9-6.8=43.1 \;^{\circ}F\).

Answer:

D

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I always remember it, over then up

Answer:

Step-by-step explanation:

The median is the middle number (or average of middle two numbers if data set has even number of elements) of the data set.

According to the graph, the data set has 9 elements.

The 5th number in the set is the median, which is 14

14

Step-1: Prepare a table that represents the number of dots above a specific number:

\(\text{Dots above 10}: || \\ \text{Dots above 12}: | \\ \text{Dots above 13}: | \\ \text{Dots above 14}: | \\ \text{Dots above 15}: | \\ \text{Dots above 18}: | \\ \text{Dots above 19}: ||\)

Step-2: Put the values in ascending or descending upon your choice:

\(10, 10, 12, 13, 14, 15, 18, 19, 19\)

Step-3: Determine wether the total number of digits in the data is even or odd. This will help us find the median.

\(\text{9 digits in total}\\\\\text{The number of digits is \underline{odd}}\)

Since the number of digits is odd, we will use the formula (a + 1)/2

(where a is the number of digits in the data)

Step-4: Substitute the number of digits in the formula.

⇒ (a + 1)/2th

⇒ (9 + 1)/2th

⇒ (10)/2th

⇒ 5th digit is median

Step-5: Look for the 5th digit in the data. That digit is your median.

\(10, 10, 12, 13, \underline{\underline{14}}, 15, 18, 19, 19\)

The median of the dot plot is 14.

Answer:

To convert inches to feet, we divide the number of inches by the number of inches per foot. One foot is equal to 12 inches.

So, to convert 5 inches to feet:

5 inches / 12 inches/foot = 5/12 feet

The answer can be simplified as a proper fraction.

5 inches = 5/12 feet

A planet located around Fomalhaut, assuming the same mean orbital distance as Earth, would receive approximately 0.1738 W/m² of irradiance.

To calculate the irradiance that a planet located around Fomalhaut would receive, we can use the inverse-square law equation:

E₂ = E₁ * (R₁ / R₂)²

Given:

E*₁ = 62,930,000 W/m² (emission from the Sun)

R₁ = 695,700,000 m (radius of the Sun)

R₂ = 149,597,870,700 m (distance to the planet)

We are looking for E*₂, the irradiance received by the planet around Fomalhaut.

First, let's calculate the value of (R₁ / R₂)²:

(R₁ / R₂)² = (695,700,000 / 149,597,870,700)²

Calculating this expression gives us:

(R₁ / R₂)² ≈ 2.761622 × 10^(-8)

Now, we can substitute the known values into the inverse-square law equation:

E₂ = E₁ * (R₁ / R₂)²

= 62,930,000 * 2.761622 × 10^(-8)

Calculating this expression gives us:

E*₂ ≈ 1.738 × 10^(-1) W/m²

Therefore, a planet located around Fomalhaut, assuming the same mean orbital distance as Earth, would receive approximately 0.1738 W/m² of irradiance.

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Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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Answer:

x = - 46

Step-by-step explanation:

Step 1:

x = 5 - 51

Answer:

x = - 46

Hope This Helps :)

Answer: x= -46

Step-by-step explanation:

-46+51=5

Answer:

2/15

Step-by-step explanation:

LCD(4/5, 2/3) = 15

so then when you find the Least Common Denominator it will be 12/15-10/15 and then it equals 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

I guess it is but i don't know exact answer

Answer:

-8x^2

Step-by-step explanation:

This works like multiplying numbers "by hand."  The partial product in the bottom row comes from two multiplications:  (-4x)(-1) = +4x, shown in red in the attached image.  The second multiplication is (-4x)(2x) = -8x, shown in blue.

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

1)
Number of Seats in next three rows: 37, 41, 45

Number of seats in row 21 = 105

2)

Cost for 4, 5, 6 miles:
Miles            Cost($)
4                    14.50

5                    18.00

6                    21.50

Cost for 12 miles = $42.50

Step-by-step explanation:

1) The arithmetic sequence is
25, 29, 33 ....

Each term is 4 more than the previous term

So the next three terms starting with the 4th term area

33 + 4 = 37
37 + 4 = 41

41 + 4 = 45

In terms of the problem statement these are the number of seats in rows 4, 5, 6 respectively

The general equation for an arithmetic sequence nth term is

a(n) = a(1) + d(n - 1)

Here a(1) is the first term; here a(1) = 25

d = difference between successive terms called the common difference; here common difference = 4

n is of course the number of terms to be considered

using the values we have
a(n) = 25 + 4(n- 1)

= 25 + 4n - 4

= 21 + 4n

So the 21st term is a(21)

a(21) = 21 + 4 (21)

= 21 + 84

= 105

------------------------------------------

2. Another arithmetic sequence

The first term is the charge for the first mile = 4

The second term = 7.5 for 2 miles

The third term = 11.5 for 3 miles

So d = 11 - 7.5 = 7.5 - 4 = 3.5

The cost for 4 miles = 11 + 3.50 = $14.50

The cost for 5 miles = 14.50 + 3.50 = $18

The cost for 6 miles = 18 + 3.50 = $21.50

Using the equation for finding the nth term we get

a(n) = a(1) + d(n - 1)
a(n) = 4 + 3.5(n-1)

a(n) = 4 + 3.5n - 3.5

a(n) = 0.5 + 3.5n

We have the following table

Miles            Cost      ($)

1                     4.00

2                    7.50

3                    11.00

4                    14.50

5                    18.00

6                    21.50

For 12 miles which would correspond to the 12 term

a(12) = 0.5 + 3.5(12)

= 0.5 + 42

= $42.50

The attached image shows the triangle with coordinates A(1,4), B(1,7) and C(3,5) and reflected over the line y = 2x + 1.

Reflection refers to the transformation of a geometric shape by flipping it across a line called the line of reflection.

When a shape undergoes reflection, every point on the shape is mapped to a corresponding point on the opposite side of the line of reflection, maintaining the same distance from the line.

For example, if you have a triangle and reflect it across a line of reflection, the resulting image will be a triangle with the same size and angles, but it will be facing in the opposite direction.

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Answer:

The answer for this problem is C.) 4

The correct answer is option B) which is 0.3 kilometers in case of golf ball travel.

Since there are 1000 metres in a kilometre, we can divide the length in metres by 1000 to convert it to km. The distance covered by the golf ball in this instance was 300 metres.

300 metres are multiplied by 1000 to translate to kilometres; 300 metres divided by 1000 equals 0.3 kilometres.

The field was therefore traversed by the golf ball over a distance of 0.3 kilometres.

To convert meters to kilometers, you need to divide the distance in meters by 1,000. In this case, Gellar hit a golf ball 300 meters across the field.

Step 1: Divide the distance in meters by 1,000.
300 meters ÷ 1,000 = 0.3 kilometers

So, the golf ball travel 0.3 kilometers.

Your answer: B) 0.3 kilometers

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Answer:

Step-by-step explanation:

x²-9x -36 =(x+3) (x -12)

because

x² -12x +3x -36 =

x( x-12) +3( x-12)=

(x-12) (x+3)

Answer:

After 2 1/3 hours.

Step-by-step explanation:

For this you have to calculate how much hours is 1/3 of 7 hours. The word 'of' implies a multiplication function.

1/3 * 7 = 7/3 = 2 1/3

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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The integral converges for p > 1, and its value is (2^(1-p) - 1)/(1-p).

We have the integral:

∫ 1 to 2 1/x^p dx

To determine the values of p for which the integral converges, we need to find the values of p for which the integrand function is integrable over the given interval.

For the integrand 1/x^p to be integrable over the interval [1, 2], we need it to be continuous and bounded. It is continuous for all p > 0, but it is not bounded for p ≤ 1. Therefore, the integral converges if and only if p > 1.

When p > 1, we can evaluate the integral using the power rule of integration:

∫ 1 to 2 1/x^p dx = [x^(1-p)/(1-p)]_1^2

= (2^(1-p) - 1)/(1-p)

Therefore, the integral converges for p > 1, and its value is (2^(1-p) - 1)/(1-p).

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The slope of a line parallel to 12x-2y= -2 is 6. The slope-intercept form of the equation 12x- 2y= -2 is y= 6x+1. The correct option is A.

To find the slope of a line parallel to a given line, we need to determine the slope of the given line. The equation 12x−2y=−2 can be rewritten in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.

First, let's isolate the y-term in the equation:

−2y=−12x−2

Dividing both sides by -2

y=6x+1

From this equation, we can see that the slope of the line is 6. Since a line parallel to this line will have the same slope, the slope of a line parallel to  12x−2y=−2 is also 6.

Therefore, the answer is:

The slope of a line parallel to 12x−2y=−2 is 6. The slope-intercept form of the equation 12x−2y=−2 is y=6x+1, which corresponds to option A.

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Answer:

2×π×3·4+2×π×32

≈131.94689

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

132.3

Step-by-step explanation:

A= 2 π r h+2 π r²

A=2×3.14×3×4+2×3.14×3²

A=6.3×3×4+6.3×9

A=75.6+56.7

A=132.3

(π is rounded up to 3.14)

NOTE:

The answer might defer from the calculator answer (which is 131.9) and that is because the value of pi taken by the calculator is the whole value and here it is rounded up to 3.14 which is what you take when calculating manually

Answer:

20 degress i think

Step-by-step explanation: