which of the following satisfies 3x+1=4 (mod 9) ?

The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

The sample space is (R, G, P, Y).(OB)

What is sample space?

A sample space is a collection  of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”.  A sample space may contain a  finite number of outcomes which depends on the experiment.

You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1

yellow (Y).

So here is 4 sections

Red(R), Green (G), Purple (P), Yellow(Y)

So there are 4 sections in sample space

The sample space for one spin of the spinner is  (R, G, P, Y).

Hence, the sample space is (R, G, P, Y).

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Applying central limit theorem number of books reads in one full year is equal to 720.

As given in the question,

Let X be the number of magazine read by Charlie.

Number of days in 12 months consider 30 days in each month 'n'

= 12 × 30

= 360 days

Number of magazine lies between 3500 and 3600

Consider μ = 2 and σ = √2

Central limit theorem , we have

z =( \(\bar{X}\) - μ )/ σ/√n

\(\bar{X}\) = X / n

Probability of total number of magazine reads between ( 3500 to 3600)

= P ( 3500 ≤ X ≤ 3600 )

= P( 3500/360 ≤ X/ n ≤3600/360)

= P( 9.72< X/n≤ 10 )

= P [ (9.72 - 2)/ √2/√360 ≤ ( X/n - μ)/σ/√n ≤(10 - 2)/ √2/√360]

= P(130.2 ≤ Z ≤107.4)

= P( 0≤Z≤107.4) - P (0≤Z≤130.2)

= φ( 130.2) + φ(107.4)

= 1 + 1      { φ(a) = 1 , a>1}

= 2

Number of books Charlie reads in one year =

∑2ₙ where n = 1 to 360

= 2+ 2+ 2+ ....+ 2 ( 360 times)

= 720 books

Therefore, using central limit theorem number of books reads in one full year is equal to 720.

The above question is incomplete , the complete question is :

Use the central limit theorem to approximate the probability that the total number of magazines that Charlie reads in one full year (12 months of 30 days each) is between 3500 and 3600. (Note that you are asked about the number of magazines, NOT the number of minutes of total reading time.) (Please answer the problem as written.) (Give an answer accurate to at least 3 decimal places.)

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Simply count the number of red marbles in each sample and divide by the total number of marbles in the sample (16). Then, take the average of those proportions to estimate the proportion of red marbles in the jar as a whole

Based on the information provided, the best conclusion we can make is an estimate of the proportion of red marbles in the jar. We can use the four random samples of 16 marbles to calculate the proportion of red marbles in each sample, and then take the average of those proportions to estimate the overall proportion of red marbles in the jar.

It's important to note that this estimate may not be perfectly accurate, since the samples are small and may not perfectly represent the entire jar. However, it's a useful way to get an idea of how many red marbles are in the jar without having to count all of them.

To calculate the proportion of red marbles in each sample

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The time take to fill the pool will be 494 hours.

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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v₂ = 55mph

Hi there !

Velocity formula

v = distance/time = d/t => d = vₓt

v₁ = v₂ - 11

t₁ = 10h

t₂ = 8h

d = v₁ₓt₁ = (v₂ - 11)t₁

d = v₂t₂

(v₂ - 11)t₁ = v₂t₂

replace t₁ ; t₂

(v₂ - 11)10 = v₂8

10v₂ - 11ₓ10 = 8v₂

10v₂ - 8v₂ = 110

2v₂ = 110

v₂ = 55 mph

Good luck !

Answer: the Dorians were far less advanced then the Mycenaean Greeks; economy collasped and trade stopped

0,0,2,3,3,6,9,9,9

median= 3

hey there ..

plz show the graph also ..

Answer:

interior

Step-by-step explanation:

exterior would be located outside the triangle.(10)

vertex is the point of the connected lines (12)

Answer:

answer is J because if we lay out the information we will understand it

The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= \(x + x + x + y + y + y + y = 3x + 4y = 235\) (in dollars)

(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Similarly, we get:

Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= \(x + x + x + x + y + y + y + y + y = 4x + 5y = 305\) (in dollars)

Thus, we got a system of equations in x and y as:

\(3x + 4y= 235\\4x + 5y = 305\) (Option J)

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Answer:

1/9 rise 1 run 9

Step-by-step explanation:

if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run

Answer:

ok

Step-by-step explanation:

ya

The object traveled 300 ft in 15 seconds.

The problem can be solved using precalculus. The distance traveled in 15 seconds can be calculated using the formula d = rt, where d is the distance traveled, r is the rate of speed, and t is the time. In this case, d = 20 ft/sec * 15 sec = 300 ft. Therefore, the object traveled 300 ft in 15 seconds. To calculate this using a graphical approach, we can plot the points (0,0) and (15,300) on a graph. The slope of the line connecting the two points is 20 ft/sec, which is the rate of speed of the object. This confirms that the object traveled 300 ft in 15 seconds.

The object traveled 300 ft in 15 seconds.

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Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

Answer:

False

Step-by-step explanation:

5x+3y=8

4x+7y=34

Then:

5x+4x+3y+7y=9x+10y

9x+10y=43 not 9x-10y

I'm not to sure because neither of these makes sense

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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Answer:

draw the diagram and multiply 5x20

Answer:

50

Step-by-step explanation:

\(\frac{3}{5}*x=30\\x=30*5/3=50\)

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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Answer:

5(3^2-4)x6

Step-by-step explanation:

The fixed costs per unit when 18,349 units are produced is $18.00.

First we need to determine the total costs of production at that level of output.

Given that fixed costs are $18 per unit and variable costs are $10 per unit, the total costs when 15,637 units are produced are:

Fixed costs = $18 * 15,637 = $281,866

Variable costs = $10 * 15,637 = $156,370

Total costs = $281,866 + $156,370 = $438,236

When 18,349 units are produced, the total costs are:

Fixed costs = $18 * 18,349 = $328,882

Variable costs = $10 * 18,349 = $183,490

Total costs = $328,882 + $183,490 = $512,372

Next, we can calculate the fixed costs per unit by dividing the fixed costs by the number of units produced:

Fixed costs per unit = $328,882 / 18,349 = $18.00

Therefore, The fixed costs per unit when 18,349 units are produced is $18.00.

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The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

x = 7

Step-by-step explanation:

x + 3 < 10

x < 10 - 3

x < 7 ( this supposed to be the answer not x = 7 so please check the options again )

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

The approximate diameter of the garden is 12.84 feet.

What is circumference?

The circumference of a circle is the distance around the edge of the circle or It is the perimeter or the length of the boundary of a circle. It is a measure of the total length of the circle, just like the perimeter is the measure of the total length of a polygon. The circumference is also related to the diameter and radius of a circle by the formula:

Circumference = 2πr = πd

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:

r = C / 2π

In this case, we are given that the circumference is 40.25 feet and π is approximately 3.14. Substituting these values into the formula, we get:

r = 40.25 / (2 x 3.14) ≈ 6.42 feet

The diameter of the circle is twice the radius, so we can find the approximate diameter by multiplying the radius by 2:

d ≈ 2 x 6.42 ≈ 12.84 feet

Rounding to the nearest hundredth, we get a diameter of approximately 12.84 feet.

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When two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;