4x=xm+x itd the a question

Answer: x=4.2

Step-by-step explanation:add 4 to both side .you have 7x=25.Now divide which gives u 4.2 .

Work Shown:

16 > i - 4

16+4 > i-4+4

20 > i

i < 20

In the second step, I added 4 to both sides to undo the -4

In the last step, I swapped both sides and I flipped the inequality sign.

If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.

Answer:

16>i-4

20>i

Step-by-step explanation:

All you have to do is reverse operation and add 4 to each side

To find one machine that does not work, you expected to buy 200 machines on average.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

A company named Batco sells batteries.

And Batco claims that  99.5% of their batteries are in working order.

That means, 100 - 99.5 = 0.5% of their machines have defect.

0.5 as a fraction of 100% is 0.005.

To find the one machine that does not work;

Divide 1 by fraction of machines not working,

1 / 0.005

= 200

Therefore, you need to buy 200 machines.

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A correlation coefficient is consistently a number between 1 and - 1 .

The correlation coefficient is a factual measure that demonstrates the strength and heading of the straight connection between two factors. It goes from - 1 to 1, where - 1 addresses a completely bad correlation (i.e., as one variable expands, different declines), 0 addresses no correlation, and 1 addresses an entirely sure correlation (i.e., as one variable builds, the other likewise increments).

The indication of the correlation coefficient demonstrates the heading of the relationship, while the extent of the coefficient shows the strength of the relationship. A correlation coefficient of 0 shows no straight connection between the factors, while values nearer to - 1 or 1 demonstrate a more grounded direct relationship.

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Answer:

False

Step-by-step explanation:

The point of tangency is the point where a tangent intersects a circle.

Answer:

The number of cds to be sold to hit a weekly revenue of 1000 pesos is 25

Step-by-step explanation:

Here, we have the revenue function and we want to know the number of cds to be sold to hit a particular revenue value.

Mathematically from the question;

r = 2x^2 - 10x

in the question; r = 1000

so ;

2x^2 - 10x = 1000

divide through by 2

x^2 -5x = 500

so;

x^2 -5x -500 = 0

x^2 -25x + 20x -500 = 0

x (x -25) + 20(x -25) = 0

(x -25)(x + 20) = 0

x -25 = 0 or x + 20 = 0

x = -20 or 25

Since the number of cds cannot be negative, we only select x = 25 as the correct answer

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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Answer:

3rd one

Step-by-step explanation:

Answer:

40.9

Step-by-step explanation:

Law Of Cosines:

   \(cos(A)=\frac{b^2+c^2-a^2}{2bc}\)

   This can generally be understand as the cosine(angle) = the sum of squares of the two other sides - the opposite side squares divided by 2 times the other two sides

   If this is to confusing to understand I'll just provide the formula for the other two angles which is essentially the same thing just different variables

   \(cos(B)=\frac{a^2+c^2-b^2}{2ac}\\\\cos(C)=\frac{a^2+b^2-c^2}{2ab}\)

Anyways for the law of cosines we need all three sides, but since we're given the two other sides, we can also rearrange the equation to solve for the other missing side.

Original Equation

\(cos(A)=\frac{b^2+c^2-a^2}{2bc}\\\)

Multiply both sides by 2bc

\(cos(A)*2bc=b^2+c^2-a^2\)

Add a^2 to both sides

\(cos(A)*2bc+a^2=b^2+c^2\)

Subtract 2bc * cosA from both sides

\(a^2=b^2+c^2-2bc*cos(A)\)

So this can be applied for any side, and it can be generally seen as: side ^2 = sum of squares of other two sides - 2 times the other two sides * cos(opposite angle of the original side). If that's to confusing you can also just look at the other formulas which are essentially the same just different variables

\(b^2=a^2+c^2-2ac * cos(B)\\c^2=a^2+b^2-2ab*cos(C)\)

anyways, applying this formula we get the equation:

\(a^2=20^2+30^2-2(20)(30)*cos(60)\)

Square and multiply values you get

\(a^2=400+900-1200*cos(60)\)

Now add the values and you can calculator cos(60) using a calculator or using the unit circle, both should give the same value

\(a^2=1300-1200(0.5)\)

Multiply

\(a^2=1300-600\)

Simplify

\(a^2=700\)

Take the square root of both sides

\(a\approx 26.4575\)

So now use this to solve for B using the original law of cosines equation. Plugging in all the sides you get the equation:

\(cos(B)=\frac{26.4575^2+30^2-20^2}{2(26.4575)(30)}\)

Square values and simplify denominator

\(cos(B)=\frac{700+900-400}{1,587.451}\)

Simplify numerator

\(cos(B)=\frac{1200}{1,587.451}\)

Convert to decimal

\(cos(B)\approx 0.755\)

Take the inverse cosine of both sides

\(B \approx cos^{-1}(0.755)\)

Approximate this using a calculator

\(B\approx 40.8934\)

Round to the nearest tenth

\(B\approx40.9\)

Given:

In 2001, the number of registrations = 56.1 thousand

In 2002, the number of registrations = 62.5 thousand

We will write the linear equation to represents the given situation

Let G the number of registrations

And t is the number of years where t = 0 is the year 2000

So, in year 2001, t = 1, G = 56.1

And in year 2002, t = 2, G = 62.5

The general form of the equation will be: G = m * t + b

Where: (m) is the slope

and (b) is the y-intercept which will be the number of registrations at t = 0

We will find the slope as follows:

Substitute with (m), so the equation will be:

Substitute with (t = 1, G = 56.1) to find (b)

So, the equation will be:

B) Graph the equation:

The graph of the equation will be as shown in the following picture:

C) we will find the number of registrations in 2017

so, t = 2017 - 2000 = 17

So, substitute with (t=17) into the equation to find G

so,

So, the number of golden retrievers = 158.5 thousand

The number of deer in the game preserve is: 2685.

Here, we have,

given that,

To determine the number of deer in a game preserve, a forest ranger catches 630 deer, tags them, and releases them. Later 179 deer are caught, and it is found that 42 of them are tagged. Assuming that the proportion of tagged deer in the second sample was the same as the proportion of tagged deer in the total population, estimate the number of deer in the game preserve.

We will use proportions to solve our given problem.

we have,

total no. of deer population/caught deer population = caught deer/tagged deer

or, total no. of deer population / 630 = 179/42

or, total no. of deer population = 179/42 × 630

or, total no. of deer population = 2685

Therefore, there are 2685 deer in the preserve.

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Answer: 8

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is sqrt(2) times longer than the leg

The relationship on the table is an exponential function

From the question, we have the following parameters that can be used in our computation:

x | 2 9 16 23

y | 4 8 16 32

For a fucttion to be a linear function:

A change in the x value must correspond to a change in the y values

In the function

When x increases by 7, y doubles

So, it is not linear

Instead, it is an exponential function because is has a common ratio

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Answer:

option c is true.

.............

Moving Average and Exponential Smoothing is a method used in a forecasting model for a time series when a trend, seasonal, or cyclical effect is not significant.

When trend, seasonal, or cyclical effects are not significant in a time series, the most appropriate method for forecasting is typically the Moving Average or Exponential Smoothing method. The Moving Average method involves calculating the average of a set of previous observations to forecast the next data point.

The number of previous observations to include in the average is determined by the chosen window size, which can be adjusted based on the level of smoothing desired. On the other hand, the Exponential Smoothing method assigns more weight to recent observations and less weight to older observations. This method assumes that recent data points are more relevant for forecasting future values than older data points.

The level of smoothing can be controlled by adjusting the smoothing parameter. Linear regression and Holt-Winters methods are better suited for time series with significant trends, and seasonal, or cyclical effects. Holt-Winters is a more complex method that considers both trend and seasonal effects in addition to the level of smoothing.

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Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

\(\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }\)

Then, the cost price of this bicycle :

\( = \tt \frac{2850 \times 100}{100 + 14} \)

\( = \tt \frac{285000}{114} \)

\( =\color{plum} \tt2500\)

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

\( = \tt2500 = \frac{\: x \: \times 100}{100 + 8} \)

\( = \tt2500 = \frac{100x}{108} \)

\( =\tt 100x = 2500 \times 108\)

\( = \tt100x = 270000\)

\( =\tt x = \frac{270000}{100} \)

\( =\color{plum}\tt x = 2700\)

Therefore, the selling price with a profit of 8% will be = 2700

A random variable is said to be continuous if it is measured over an interval. Option b. "is measured over an interval" correctly describes a continuous random variable.

A continuous random variable can take on any value within a given interval, including decimal values. It represents measurements that can be infinitely divided and can take on an uncountable number of values. Examples of continuous random variables include the height of individuals, the time it takes to complete a task, or the temperature of a room. These variables are not restricted to specific discrete values and can vary continuously.

On the other hand, discrete random variables (options a, c, and d) can only take on a countable number of distinct values. Discrete random variables represent outcomes that are distinct and separate, such as the number of students in a class, the number of cars passing by, or the number of heads obtained when flipping a coin.

These variables do not have decimal values and cannot be measured over a continuous range.

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The mean of the distribution is 21 suits, the variance is 0.8 suits squared, and the standard deviation is approximately 0.894 suits.

To find the mean of the distribution, we multiply each value of X (number of suits sold) by its corresponding probability and sum up the products.

Mean (µ):

(19 * 0.2) + (20 * 0.2) + (21 * 0.3) + (22 * 0.2) + (23 * 0.1) = 21

To find the variance, we calculate the average of the squared differences between each value of X and the mean, weighted by their corresponding probabilities.

Variance (σ²):

[(19 - 21)² * 0.2] + [(20 - 21)² * 0.2] + [(21 - 21)² * 0.3] + [(22 - 21)² * 0.2] + [(23 - 21)² * 0.1] = 0.8

The standard deviation is the square root of the variance.

Standard deviation (σ):

√(0.8) ≈ 0.894

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Complete question:

The number of suits sold per day at a retail store is shown inthe table, with the corresponding probabilities. Find themean, variance, and standard deviation of the distribution.

Numer of suits

soldX 19 20 21 22 23

Probability 0.2 0.2 0.3 0.2 0.1

If the manager of the retail store wants to be sure that hehas enough suits for the next 5 days, how many should the managerpurchase?

Answer:

the solution for x is x = −3.

Step-by-step explanation:

To solve for x, we need to isolate it on one side of the equation. We can do this by adding 15 to both sides:

−15 + x + 15 = −18 + 15

Simplifying:

x = −3

Therefore, the solution for x is x = −3.

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

this question is about random samples from the uniform(0,1) distribution.

recall that for a sample of size mm from a uniform(0,1) distribution

the expected value of the largest value in the sample is:

np​.​random​.​uniform​(​0,​1,​100)

import numpy as np

pass the random uniform generated array into x

x = np random uniform(low, high, size)

here low = 0, high = 1, size = 100

x = no. random uniform(0,1,100)

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Answer:

85.....?................

9514 1404 393

Answer:

  $6.80/fortnight

Step-by-step explanation:

You need to know there are 13 weeks in a quarter, and 2 weeks in a fortnight. The conversion is straightforward.

  \(\dfrac{\$44.20}{\text{quarter}}\times\dfrac{1\text{ quarter}}{13\text{ weeks}}\times\dfrac{2\text{ weeks}}{1\text{ fortnight}}=\dfrac{\$44.20\times2}{13\text{ fortnight}}\\\\=\boxed{\$6.80\text{/fortnight}}\)

Answer:

-2.2

Step-by-step explanation:

m = y2 - y1/ x2- x1

m = -5 - 6/ 2 --3

m = -11/5

m = -2.2

In pickleball, when protecting the middle in doubles, it is best to move laterally towards the center of the court. This means positioning yourself closer to the middle of the court, between your partner and the sideline.

By moving towards the center, you are effectively reducing the gap between you and your partner. This positioning allows you to cover more of the court and effectively defend against shots hit down the middle.

Moving towards the center also helps to minimize the angles that opponents can exploit to hit winners. It forces them to hit wider shots to try to pass you, increasing the difficulty of their shots and giving you and your partner better chances to defend and counterattack.

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In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

a=25

Step-by-step explanation:

Solve by subtracting 3 from both sides.

a/5=5

Multiply both sides by 5.

a=25

Answer:

Step-by-step explanation:

a/5+3=8

Subtract 3 from both sides:

a/5+3 -3=8 -3

a/5=5

Multiply both sides by 5:

5×a/5=5×5

a=25

Hope it helps!

Answer:

The answer is 63 miles per hour.

The distance (d) is multiplication of speed x and time (t):

d = x * t

d = 1,764 mi

t = 28 h

x = ?

1,764 mi = x * 28 h

x = 1,764 mi / 28 h

x = 63 miles per hour

Step-by-step explanation:

Answer:

i don't know why the question want in fraction though

Step-by-step explanation:

\(c + 38 = 113 \\ c = 113 - 38 \\ c = 75\)