so you need to select 6 varieties without replacement from 10 varieties: c(10,6) b) if there are at least two varieties.

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

Step-by-step explanation:

MEAN - a). Finds the mean of a numerical data set.

MIN - f). Finds the lowest value of a data set.

COUNT - c). Counts the number of values input for a highlighted data set

MEDIAN - d). Finds the middle value of a numerical data set

MAX - e). Finds the greatest value for a data set

SUM - g). Adds all the numbers in a highlighted range together

MODE - b). Finds the number that occurs most often in a highlighted data set.

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

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Answer:

3+(3×3×4)

3+(9×4)

3+36

39

Answer:

(x+6)(x+6) or (x+6)^2

Step-by-step explanation:

factors of 36 that add up to 12 = 6

so (x+6)(x+6)

(can I get brainliest please)

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

I think it is????

Answer:

No, it is not.

An irrational number is real number that cannot be expressed as a ratio of two integers. The number pi or π is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractions.

Answer:

Step-by-step explanation:

What is answer to X/2 - X/5 = 3

x/2 - x/5 = 3

(3/10)x = 3

x = 3 : 3/10

x = 3 * 10/3

x = 10

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

check

10/2 - 10/5 = 3

3 = 3

the answer is good

We will have the following:

So, the amount will be approximately $11 103.1.

The annual compound growth rate of the Redstone Castle price is 73.10%.

From the information given, the formula to calculate the annual compound growth rate will be:

g = (F/P)^(1/n) - 1

where g = growth rate

f = final value = 19750000

p = initial value = 2200000

n = period = 2020 - 2016 = 4

g = (F/P)^(1/n) - 1

g = (19750000/2200000)^(1/4) - 1

g = 73.10%

Therefore, the growth rate is 73.10%

The price of the house in 1902 will be calculated thus:

PV = F/(1 + g)^n

= 19750000/(1 + 73.10%)^4

= $4811

The year that is considered as the time point 0 in that problem is 1902.

When the average compound growth rate in the question #2 now is compounded daily, the price of the house in 1902 will be $4071. The difference in values will be:

= $4811 - $4071

= $740

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The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

  20 mi/h

Step-by-step explanation:

You want the speed of separation after 3 hours between two cars that started from the same point. One is moving at 16 mi/h south, the other is moving at 12 mi/h west.

Since both cars started from the same point, the speed of separation is the magnitude of the difference between the respective velocity vectors. A graphical representation of the velocity vectors shows them to be the legs of a right triangle. Their difference is the length of the hypotenuse, which can be found using the Pythagorean theorem.

  s = √(16² +12²) = √(256 +144) = √400

  s = 20

The speed of separation is a constant 20 mi/h.

__

Additional comment

If the cars did not start at the same point, then the speed of separation would be changing with time. It could be found using the derivative of the distance between the cars, or by considering the car speeds in the direction each car is from the other at the time of interest.

We note that the problem here makes use of a 3-4-5 right triangle, with a multiplier of 4 mph.

The amount of chlorine needed to treat a swimming pool is directly proportional to the volume of the poolWhat is the constant of proportionality for this relationship

Using the t-distribution, the 90% confidence interval for the mean number of absences is given by: (9.22, 11.60).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 28 - 1 = 27 df, is t = 1.7033.

Researching this problem on the internet, the parameters are given by:

\(\overline{x} = 10.41, s = 3.71, n = 28\).

Hence the bounds of the interval are given by:

The 90% confidence interval for the mean number of absences is given by: (9.22, 11.60).

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Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

The supplement of angles 2.68, 2.79, 1.79, 2.04, 0.34 are 1.32, 1.21, 1.21, 1.96, 2.66 radians respectively.

The supplement of an angle is defined as the difference between π radians (180 degrees) and the given angle. If the measure of an angle is "x" radians, then its supplement is calculated as π - x radians.

The supplement of an angle represents the smallest angle that when added to the original angle.

Supplement of 2.68 radians: π - 2.68 = 1.32 radians

Supplement of 2.79 radians: π - 2.79 = 1.21 radians

Supplement of 1.79 radians: π - 1.79 = 1.21 radians

Supplement of 2.04 radians: π - 2.04 = 1.96 radians

Supplement of 0.34 radians: π - 0.34 = 2.66 radians

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___________The given question is incomplete, the complete question is given below:

find the supplement of each of the following angles measured in radians: 2.68 is supplementary to_____, 2.79 is supplementary to_____, 1.79 is supplementary to_______, 2.04 is supplementary to______, 0.34 is supplementary to_______.

Answer:

P(x≤14) = 0.556

Step-by-step explanation:

Given:

Probability of throwing a strike (p) = 0.487

Total number of throw (n) = 29

Find:

Probability that no more than 14 of them are strikes P(x≤14)

Computation:

Mean(np) = (29)(0.487)

Mean(np) = 14.123

Standard deviation = √[mean( 1- p)]

Standard deviation = √[14.123( 1 - 0.487)]

Standard deviation = 2.6917  (Approx)

P(X < x) = P[(Z < (x - mean)]/[Standard deviation])

P(x≤14) = P(Z < (14.5 - 14.123) / 2.6917 )

P(x≤14) = 0.556

Answer: The next two numbers are -6 and 3

Explanation:

The numbers we have are the following:

We can see that the numbers are decreasing because 48 is smaller than 96, 24 is smaller than 48, and so on.

We can also see that one number has a negative sign and the next does not.

The patter here is that to find the next number we are diving by -2. Because 48 is -96/(-2). And -24 is the result of 48/(-2).

We can see this in the following diagram:

to find the next number, we divide the previous one by -2.

So, to find the next two numbers, first we divide 12 by -2:

The next number is -6.

To find the second next number, we divide -6 by -2:

Answer: The next two numbers are -6 and 3

Answer:

A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too. For example, 9x3yz is a single term, where 9 is the coefficient, x, y, z are the variables and 3 is the degree of monomial.

The ratio of true positives to false positives, given the accuracy of the test would be 239 : 711 .

Here. we have,

First, find the number of people who have the flu:

= 5. 2 % x 10, 000

= 520 people

Those who don't have it:

= 10, 000 - 520

= 9, 480 people

True positive :

= 92 % x 520

= 478 people

False negatives:

= 8 % x 520

= 42 people

False positives:

= 15 % x 9, 480

= 1, 422 people

The ratio of true positives to false positives is therefore:

478 : 1, 422

239 : 711

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Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer:

A

Step-by-step explanation:

The answer is B

15 x 2 = 30

7 x 3 = 21

30 + 21 = 51

Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Andre borrowed 350,000 from the bank and the bank will charge him 6% interest per month. To calculate the amount he has to pay for one month of interest, we can use the following formula:

Interest = Capital * Interest rate

In this case, the capital is 350,000 and the interest rate is 6%. So, we can plug in the values:

Interest = 350,000 * 0.06

Interest = 21,000

Therefore, Andre has to pay 21,000 for one month of interest.

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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