A triangle is drawn on a coordinate plane. Point A is at (2,6), Point B is at (4,10), and Point C is at (8,5). What is the midpoint of side AB
?

Answer:

SIX MILLION THIRTY ONE THOUSAND SEVEN HUNDRED THIRTY NINE POINT FOUR TWO

6,031,739.42 in word form is written as six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths.

In word form, numbers are written out using words rather than numerical symbols. When we write 6,031,739.42 in word form, we break down the number into its different place values and express each place value using words.

Here's the breakdown:

- Six million (6,000,000) represents the millions place.

- Thirty-one thousand (31,000) represents the thousands place.

- Seven hundred thirty-nine (739) represents the hundreds place.

- And forty-two hundredths (0.42) represents the decimal part.

Putting it all together, we say "six million thirty-one thousand seven hundred thirty-nine and forty-two hundredths" to express the number 6,031,739.42 in word form.

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Rounded to three decimal places, the probability is approximately 0.457.

To find the probability that at least two bills must be selected to obtain a first $10 bill, we need to consider two scenarios.

Scenario 1: The first bill selected is a $10 bill. There are six $10 bills in the wallet, so the probability of selecting a $10 bill first is 6/15.

Scenario 2: The first bill selected is not a $10 bill. In this case, we need to calculate the probability of not selecting a $10 bill on the first draw, and then selecting a $10 bill on the second draw.

There are nine non-$10 bills in the wallet initially (3 $5 bills + 6 $1 bills), and there are a total of 14 bills left in the wallet after the first draw (15 bills - 1 non-$10 bill).

Therefore, the probability of not selecting a $10 bill on the first draw is 9/15, and the probability of selecting a $10 bill on the second draw is 6/14.

Multiplying these probabilities together, we get (9/15) * (6/14) = 54/210.

To obtain the final probability, we sum the probabilities from both scenarios: (6/15) + (54/210) = 16/35.

Rounded to three decimal places, the probability is approximately 0.457.

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Answer:

y is 100degrees

it is correct answer

Answer:

The submarine would be 76 1/2 feet underwater after it is finished diving

Step-by-step explanation:

Multiply 25 1/2 (the amount of feet traveled down each move) by 3 ( the amount of moves it goes downward) to get 76 1/2 feet.

Answer:

y= 1/5x + -8

Step-by-step explanation: slope-intercept form= y=mx+b

y= the number on the y-axis or the simple y

m=slope

x= the number on the x-axis or the simple x

b= y-intercept

The required slope-intercept form of the equation is given as y = 1/5x - 8.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope intercept of the equation is given as,
y = mx + c,

From the given, we have a slope of line m = 1/5 and y-intercept, c = -8.
Now,
y = mx + c
y = 1/5x - 8

Thus, the required slope-intercept form of the equation is given as y = 1/5x - 8.

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The average temperature rose from -10 degree celsius to 32 degree celsius. The rise in average temperature can be calculated below

let

the rise = x

Answer:

C. 8.1 Inches

Step-by-step explanation:

Take 100 Ib. and multiply it by 0.9. You get 90 lb. Now referring to the fraction rule, do the same to the "denominator": 9 In. x 0.9, and you get 8.1 Inches.

The option that is not available to Jacob is: He can purchase the computer now using his debit card, even though he does not have enough money in his bank account to cover the cost.

Using a debit card requires that there are sufficient funds in the linked bank account to cover the transaction. If there is not enough money available, the transaction will be declined. Therefore, Jacob cannot purchase the computer using his debit card unless he has enough funds in his account. The other options, including saving up to purchase the computer with cash, using a credit card, or putting more money in his bank account to use his debit card at a later date, are all valid options for Jacob.

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23/25 is greater than 9/10

23/25=92/100

9/10=90/10

92>90

The volume of the china cabinet is 21 cubic feet.

To find the volume of the china cabinet, we need to multiply its length, width, and height.

Since the dimensions are given in feet, we will use cubic feet as the unit of volume.

The length of the china cabinet is given as 1 ft, the width as 7 ft, and the height as 3 ft.

The volume can be calculated as follows:

Volume = length * width * height

Volume = 1 ft * 7 ft * 3 ft

Volume = 21 cubic feet

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Answer:

28.27

Step-by-step explanation:

Area of a circle A≈ πr2

3.14 x 3^2 ≈ 28.27

The condensed form of 6 ln x + 4 ln y is ln ( x⁶ y ⁴ ).

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

Given a logarithmic function  6 ln x +4 ln y.

Using:

ᵃ log m = log mᵃ and

log a + log b − log c = log ( a b/ c )

In our case,

6 ln x + 4 ln y

=>  ln x⁶ + ln y⁴

=> ln ( x⁶ y⁴ )

Therefore,  ln ( x⁶ y ⁴ ) is The condensed form of 6 ln x + 4 ln y.

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The Surface area of the triangular prism is :

The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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Answer:

6cm by 1.5cm

18cm by 4.5cm

80cm by 20cm

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

15 in the correct answer

The strength of evidence against the null hypothesis depends on the magnitude of the z-score and the significance level. A z-score of 1 is usually not strong enough evidence to reject the null hypothesis because the critical value at common significance levels is usually greater than 1.

The strength of evidence against the null hypothesis depends on the magnitude of the standardized statistic and the significance level chosen for the test.

If the standardized statistic is greater in magnitude than the critical value of the corresponding significance level, then we can reject the null hypothesis in favor of the alternative hypothesis.

The standardized statistic for testing the sample proportion is the

z-score, given by:

z = (p - P0) / sqrt(P0*(1-P0) / n)

where p is the sample proportion, P0 is the hypothesized population proportion under the null hypothesis, and n is the sample size.

Therefore, the magnitude of the z-score determines the strength of evidence against the null hypothesis.

A z-score of 1 is not sufficient evidence to reject the null hypothesis for most significance levels commonly used (e.g., 0.05, 0.01), as the critical value for a two-tailed test at these levels is typically larger than 1.

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Answer:

Step-by-step explanation:

Answer:

18-3y.

Step-by-step explanation:

3 x 6 = 18

3 x -1y= -3y.

Answer:

18 - 3y

Step-by-step explanation:

3(6-y)

(3)(6) + (3)(-y)

18 + (-3y)

18 - 3y

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Let x be the speed of the current in km/h units

Speed of the boat traveling against the current= (15-x) km/h

Time spent traveling 36 miles against the current=36/15-x hours

Time spent rafting36miles (with the current) =35/x hours

Equation=36/x-36/15-x=9

Multiply both sides by x×(15-x)

36×(15-x) - 36x = 9x×(15-x)

540 - 36x - 36x=135x-9x²

9x²-207x+540=0

x²-23x+60=0

(x-3)×(x-30) = 0

Roots are x= 3 and  x= 30

Since 15-x must be positive, the only root x = 3 survives

Hence:

Speed =3 km/h

Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

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Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

There are 14.25 liters in 15 quarts based on the expression and data given.

To find the number of liters in 15 quarts, we can use the conversion factor given in the table for quarts to liters. The table states that 1 quart is equal to 0.95 liters.

To convert 15 quarts to liters, we can set up the following expression:

Number of liters = (Number of quarts) × (Conversion factor)

In this case:
Number of liters = 15 quarts × 0.95 liters/quart

Now, you can simply multiply 15 by 0.95 to find the number of liters:
Number of liters = 15 × 0.95 = 14.25 liters

So, there are 14.25 liters in 15 quarts.

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Hey there!

\(3-3k+7k=5b\)

Assuming you're trying to solve for b or k, I'll solve both.

Solve for b:

\(3-3k+7k=5b\)

We will need to flip the equation:

\(5b=4k+3\)

Now, let's divide both sides by 5:

\(\frac{5b}{5} =\frac{4k+3}{5}\)

\(b=\frac{4}{5} k+\frac{3}{5}\)

Solve for k:

\(3-3k+7k=5b\)

Let's add -3 to both sides:

\(4k+3+-3=5b+-3\\4k=5b-3\)

Now, let's divide both sides by 4:

\(\frac{4k}{4} =\frac{5b-3}{4}\)

\(k=\frac{5}{4} b+\frac{-3}{4}\)

Now, we've solved for b and k.

Hope this helps!

Answer:

9 kg

Step-by-step explanation:

1 kg = 1000 g → 9 kg = 9000 g

9000 g > 8500 g

9 kg > 8500 g

Answer: \(y=\frac{4}{x}\)

Step-by-step explanation:

To find the inverse function, you want to replace y with x and x with y, and then solve.

\(y=\frac{4}{x}\)           [replace y with x and x with y]

\(x=\frac{4}{y}\)           [multiply bith sides by y]

\(xy=4\)          [divide both sides by x]

\(y=\frac{4}{x}\)

Now, we know the inverse is \(y=\frac{4}{x}\).

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Answer:

y = -x + 9

Step-by-step explanation:

✔️Find the slope using (9, 0) and (7, 2):

\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1 \)

Slope (m) = -1

✔️Find the y-intercept (b):

The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9

✔️Substitute m = -1 and b = 9 into y = mx + b

Thus,

y = -1(x) + 9

y = -x + 9