Order the integers from least to greatest:
-9, 3, 4, 5, 0

Answer:

A data represent an exponential function because there is a common ratio of 1

If the psychologists state in a report that M = 16 and SD = 4, they are reporting sample statistics. The sample statistics are calculated based on the data collected from a sample of participants.

M or the mean is the average of the scores in the sample, and SD or standard deviation is the measure of how spread out the scores are from the mean. These sample statistics provide important information about the sample, which can be used to draw conclusions about the population.

On the other hand, if the psychologists state in a report that p = 16, they are reporting a population parameter. A population parameter is a numerical value that describes a characteristic of a population. In this case, p could refer to the proportion of individuals in the population who exhibit a certain behavior or trait. It is important to note that population parameters are typically unknown and are estimated using sample statistics.

Overall, understanding the difference between sample statistics and population parameters is crucial for interpreting research findings and making informed decisions based on data.

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Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).

To earn interest, we can use the formula: Interest = Principal × Rate × Time

For the 4% interest account, the interest earned is:

0.04x × 1 (1 year) = 0.04x

For the 5% interest account, the interest earned is:

0.05(11000 - x) × 1 (1 year) = 550 - 0.05x

According to the problem, the total interest earned is $490. Therefore, we can set up the equation:

0.04x + (550 - 0.05x) = 490

Simplifying the equation:

0.04x + 550 - 0.05x = 490

-0.01x + 550 = 490

-0.01x = -60

x = 6000

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

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Answer:

x=16

Step-by-step explanation:

angle LMN+ angle LNM+ angle MLN=180^

angle LMN+60^ +60^ =180^

angle LMN=60^

overline LN sin( angle LMN) = overline LM sin( angle LMM)

16/(sin(60 degrees)) = x/(sin(60 degrees))

x = 16

Answer:

y = 3

Step-by-step explanation:

When x = -2, y = 3. You can tell because when you go to the -2 on the graph, and you move upwards, towards the line, the line lays on the point 3.

Answer:

1,784=1,780

Step-by-step explanation:

because the tens column is 4,it is not greater than 5 but less than 5.due to this, the 1,784 becomes 1,780 because in this a number less than five will automatically become 0

The answer is 1,780

Mgghvcjgghcgjchkkcf gdhjvdh gang zgb ca gdgjxfh. KkHogg b

Answer:

p - w = $25 OR w + $25 = p

Step-by-step explanation:

pencil = p

pen = w

p - w = $25 OR w + $25 = p

Answer:

6

Step-by-step explanation:

410-50=360

360÷60=6

The rectangular forest area measures 3,000 square kilometers and 30,000 hectares.

To find the rectangular area of forest, we need to multiply its length by its width. The length of the forest is given as 10,000 meters, and the width is given as 300,000 meters.

To convert these measurements to kilometers, we divide each value by 1,000 since there are 1,000 meters in a kilometer. This gives us a length of 10 kilometers and a width of 300 kilometers.

To calculate the area in square kilometers, we multiply the length (10 kilometers) by the width (300 kilometers), resulting in an area of 3,000 square kilometers. This means that the rectangular forest covers an area of 3,000 square kilometers.

Now, to convert the area from square kilometers to hectares, we use the conversion factor that 1 square kilometer is equal to 100 hectares. By multiplying the area in square kilometers (3,000 square kilometers) by this conversion factor, we get the area of the forest in hectares. Therefore, the rectangular forest has an area of 300,000 hectares.

In summary, the rectangular forest measures 3,000 square kilometers and 300,000 hectares.

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Answer:

The answer is not finished but if John is buying the materials and paying for the labor then the answer will be $510.

Step-by-step explanation:

I’m sorry if I didn’t help but the answer is not written out enough…

The value of x in the given circle is 18.1 units.

Given is a circle, where two radii are given one chord is given,

We need to find the value of the x which is also the radius,

We know all the radii in a circle are equal,

So, here the radius = 7.9+10.2 = 18.1 units.

Hence the value of x in the given circle is 18.1 units.

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To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer:

v = 15

Step-by-step explanation:

Hope this helped

Answer:

v = 15

Step-by-step explanation:

-9-8v = -129

-8v = -129 + 9

-8v = -120

v = -120/-8

v = 15

No, the given relation is not a function. An association between items of two sets—the domain and the codomain—is known as a binary relation.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, functions represented the idealised relationship between two changing quantities.

Consider the given relation

{(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}

We need to check whether the given relation is function or not.

A relation is a function if there exist a unique value of y for each value of x.

In the given relation, for x=0.3 there exist more than one value of y.

y=0.6 at x=0.3

y=0.7 at x=0.3

For one input there exist more than one output. Therefore, the given relation is not a function.

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Answer:

492

Step-by-step explanation:

Answer:

492 divide 2

Step-by-step explanation:

EXPLANATION:

1.First we have to find the linear combination of the two matrices.

2.The two matrices are 3 x 2 rows.

3.Then we must multiply each number by each of the matrices.

4.Finally we must subtract the results of each matrix

Now we will solve the exercise by following the steps already mentioned;

Answer: 1 1/5

Step-by-step explanation: So the diameter is the length of the whole sphere and since half of this is 3/5 you at times that by two and you would get 1 1/5

Answer:

30cm

Step-by-step explanation:

Diameter of circle= 2×radius

2×⅗

30cm

hope it helps

Answer:

Step-by-step explanation:

Endpoints of the segment are (-4, -3) and (3, 5).

Rule for the reflection of the points across a line \(y=x\) is,

(x, y) → (y, x)

By following this rule of reflection,

New endpoints will be,

(-4, -3) → (-3, -4)

(3, 5) → (5, 3)

Therefore, new endpoints of the reflected segment are (-3, -4) and (5, 3).

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

The probability of earning exactly 2 golden coins after three consecutive selections is 2/9.

To find the probability of earning exactly 2 golden coins after two consecutive selections and three consecutive selections, we can use the concept of probability and apply it to each scenario.

Given:

Golden coins = 4

Iron coins = 8

Total coins = Golden coins + Iron coins

= 4 + 8

= 12

a) Two consecutive selections:

In this scenario, we select one coin, observe its type, put it back in the bag, and then select another coin. We want to find the probability of getting exactly 2 golden coins.

The probability of getting a golden coin on the first selection is:

P(Golden on 1st selection) = Golden coins / Total coins

= 4 / 12

= 1/3

Since we put the coin back in the bag, the total number of coins remains the same. So, for the second selection, the probability of getting a golden coin is also:

P(Golden on 2nd selection) = Golden coins / Total coins

= 4 / 12

= 1/3

To find the probability of both events occurring (getting a golden coin on both selections), we multiply the individual probabilities:

P(2 Golden coins in 2 consecutive selections) = P(Golden on 1st selection) * P(Golden on 2nd selection)

= (1/3) * (1/3)

= 1/9

Therefore, the probability of earning exactly 2 golden coins after two consecutive selections is 1/9.

b) Three consecutive selections:

In this scenario, we perform three consecutive selections, observing the coin type after each selection, and putting the coin back in the bag.

The probability of getting a golden coin on each selection remains the same as in part a:

P(Golden on each selection) = Golden coins / Total coins

= 4 / 12

= 1/3

To find the probability of getting exactly 2 golden coins out of 3 selections, we need to consider the different possible combinations. There are three possible combinations: GGI, GIG, IGG, where G represents a golden coin and I represents an iron coin.

The probability of each combination occurring is the product of the probabilities for each selection:

P(GGI) = (1/3) * (2/3) * (1/3)

= 2/27

P(GIG) = (1/3) * (1/3) * (2/3)

= 2/27

P(IGG) = (2/3) * (1/3) * (1/3)

= 2/27

To find the overall probability, we sum the probabilities of all possible combinations:

P(2 Golden coins in 3 consecutive selections) = P(GGI) + P(GIG) + P(IGG)

= 2/27 + 2/27 + 2/27

= 6/27

= 2/9

Therefore, the probability of earning exactly 2 golden coins after three consecutive selections is 2/9.

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Supplementary angles are angles that sum up to 180 degrees

Step 1:

If m<x and m<y are supplementary, hence;

m<x + m<y = 180 ....................1

Step 2:

If m<y is a supplement to m<z, hence:

m<y + m<z = 180 ...........................2

Equating 1 and 2

m<x + m<y  = m<y + m<z

Subtract m<y from both sides

m<x + m<y-m<y  = m<y + m<z - m<y

m<x = m<z

This proves the statement m<x = m<z

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Angle BCF = 38 degrees

Angle BED = 79 degrees

Angle BDE = 63 degrees

Angle B = 79 degrees

Angle C = 79 degrees

Angle ACF = 38 degrees

Angle F = 104 degrees.

We have,

As ED//BC,

We can say that angle EDB = angle BCF = 38 degrees.

Also, in rhombus ABCF, angles BCF and CAF are equal,

So CAF = 38 degrees.

In triangle BED,

We have angle BED = 79 degrees and angle EDB = 38 degrees.

Angle BDE = 180 - (79 + 38) = 63 degrees.

In triangle BDE,

We also has angle B = angle EBD = 180 - (63 + 38) = 79 degrees.

In trapezium BCDE,

Angles B and C are equal, so angle C = 79 degrees.

Finally, in rhombus ABCF, angles CAF and ACF are equal,

So ACF = 38 degrees.

Therefore,

Angles A and C of triangle ACF equal 38 degrees each, and angle F is:

= 180 - (38 + 38)

= 104 degrees.

Thus,

angle BCF = 38 degrees

angle BED = 79 degrees

angle BDE = 63 degrees

angle B = 79 degrees

angle C = 79 degrees

angle ACF = 38 degrees

angle F = 104 degrees.

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The complete question.

In the figure, ABCF is a rhombus and BCDE is a trapezium. ED//BC, BCF=38 degrees, and BED= 79 degrees.

Find the following:

Angle BCF

Angle BED

Angle BDE

Angle B

Angle C

Angle ACF

Angle F

The partial derivatives of the function f(x, y) = e^(xy) are:

f_x(x, y) = y * e^(xy)

f_y(x, y) = x * e^(xy)

To compute the partial derivatives of the function f(x, y) = e^(xy) with respect to x and y, we differentiate the function with respect to each variable while treating the other variable as a constant.

Let's start by finding f_x, the partial derivative with respect to x. To do this, we differentiate the function with respect to x while treating y as a constant:

f_x(x, y) = d/dx [e^(xy)]

To differentiate e^(xy) with respect to x, we use the chain rule. Let u = xy, so that e^(xy) = e^u. Now, we differentiate e^u with respect to u and then multiply by the derivative of u with respect to x:

f_x(x, y) = d/du [e^u] * d/dx [xy]

The derivative of e^u with respect to u is simply e^u. The derivative of xy with respect to x is y. Therefore, we have:

f_x(x, y) = y * e^(xy)

Next, let's find f_y, the partial derivative with respect to y. We differentiate the function with respect to y while treating x as a constant:

f_y(x, y) = d/dy [e^(xy)]

Using the chain rule again, let u = xy, so that e^(xy) = e^u. Now, we differentiate e^u with respect to u and then multiply by the derivative of u with respect to y:

f_y(x, y) = d/du [e^u] * d/dy [xy]

The derivative of e^u with respect to u is e^u. The derivative of xy with respect to y is x. Therefore, we have:

f_y(x, y) = x * e^(xy)

Therefore, the partial derivatives of the function f(x, y) = e^(xy) are f_x(x, y) = y * e^(xy) and f_y(x, y) = x * e^(xy).


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To solve this problem, we can use the standard normal distribution and the Z-score formula to find the probability that a pregnancy will last at least 300 days.

The Z-score is a measure of how many standard deviations a value is from the mean. We can use the Z-score to standardize a value, which means we can express it in terms of how many standard deviations it is from the mean of the distribution.

The Z-score formula is:

Z = (x - μ) / σ

Where x is the value we are standardizing, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

To find the probability that a pregnancy will last at least 300 days, we can use the Z-score formula to standardize 300 days:

Z = (300 - 268) / 15 = 4

This means that 300 days is 4 standard deviations above the mean of 268 days.

To find the probability that a pregnancy will last at least 300 days, we can use a Z-table or a calculator to find the area under the standard normal curve that is greater than or equal to 4 standard deviations.

Using a calculator or a Z-table, we find that the probability that a pregnancy will last at least 300 days is approximately 0.0165, which corresponds to answer choice D: 0.0165.

The value is approximately equal to 12.0711°

While measuring angles, we use various units of measurements such as the degrees or the SI unit radians as per our convenience.

When we use the degree system, we can use the degree-minute-second or the degree decimal system as per our requirement of precision.

The angle in degree - minutes - seconds is 12°4'16"

We know that \(\frac{1}{60}\) of a degree is minute and \(\frac{1}{60}\) of a minute is a second.

Hence, \(\frac{1}{3600}\) of a degree is a second.

Therefore the angle \(\theta\) in degrees and decimal fractions of degrees will be:

\(\theta\) = \(12+\frac{1}{60}\) × 4 + \(\frac{1}{3600}\) × 16

 = \((12+\frac{1}{15}+\frac{1}{225} )\)°

The value is approximately equal to 12.0711°

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The given question is incomplete, complete question is:

The angle 12 degrees 4'16" is given in degrees, arcminutes, and arcseconds. How do you rewrite them in degrees and decimal fractions of degrees?

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Answer:

Yes

Step-by-step explanation:

Answer:

Y=3x - 8

Step-by-step explanation:

Slope-intercept is Y=mx +b

Solve for  m using the formula  (y₂ - y₁) / (x₂ - x₁)  

so (7-1) / (5-3)

Solve inside paratheses to get  6/2. Simplify to 3

Solve for b by plugging in our first points (3,1)

1 = 3(3) + b

1 = 9  + b

-8   = b

Answer:

I can't

Step-by-step explanation:

The variance of Y is approximately 0.2130.

To find the probability that the temperature at a randomly chosen time will be less than or equal to 15 Celsius, we will first standardize the value using the z-score formula:

z = (X - mean) / standard deviation

Here, X = 15, mean = 10, and standard deviation = 10.

z = (15 - 10) / 10 = 0.5

Now, we look up the z-score of 0.5 in the standard normal table (or use a calculator with a normal distribution function) to find the probability. The probability for a z-score of 0.5 is approximately 0.6915.

So, the probability that the temperature at a randomly chosen time will be less than or equal to 15 Celsius is approximately 0.6915.

Now, we need to find the variance of Y. Since Y is a binary random variable, its mean is given by:

E[Y] = P(Y = 1) = 0.6915

And its variance is given by:

Var(Y) = E[Y^2] - (E[Y])^2

Since Y^2 = Y for a binary random variable,

E[Y^2] = E[Y] = 0.6915

Now, we can calculate the variance:

Var(Y) = 0.6915 - (0.6915)^2 ≈ 0.2130

So, the variance of Y is approximately 0.2130.

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