Which graph shows the solution to the system of linear inequalities? y < 2x – 5 y > –3x + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded. Mark this and return

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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The expression 2 - 5(x - 1) is a linear expression

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

2 - 5(x - 1)

The general rule is that

Using the above as a guide, we have the following:

2 - 5(x - 1) is a linear expression

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Answer:

D

Step-by-step explanation:

sin  (  3pi / 4 )

 =  sin   (   pi   -   pi  /  4   )

 =  sin   (   pi / 4  )

 = 1/root(2)

  =  root(2) / 2

The function representing the number of bacteria after t hours is N(t) = 5300 * (1 + 0.0592)^t, and the growth rate per hour is approximately 5.92%.

To represent the number of bacteria after t hours, we can use the exponential growth formula:

N(t) = N₀ * (1 + r)^t,

where N(t) is the number of bacteria after t hours, N₀ is the initial number of bacteria, r is the hourly growth rate, and t is the time in hours.

In this case, the initial number of bacteria is 5300, and the hourly growth rate can be determined from the doubling time of 12 hours. The growth rate can be calculated using the formula:

r = 2^(1/t_double) - 1,

where t_double is the doubling time in hours.

Substituting the given values, we have:

r = 2^(1/12) - 1 ≈ 0.0592.

Now we can write the function for the number of bacteria after t hours:

N(t) = 5300 * (1 + 0.0592)^t.

To determine the percentage of growth per hour, we can calculate the relative growth rate as a percentage:

percentage_growth = r * 100 ≈ 5.92%.

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The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The word phrase is,

''The quotient of 55 and x.''

Now, The value of mathematical expression is,

''The quotient of 55 and x.''

⇒ 55 ÷ x

⇒ 55 / x

Therefore, The value of mathematical expression is,

⇒ 55 ÷ x

⇒ 55 / x

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Answer:

There are 23C6 ways to pick 6 numbers from 23; the probability of any particular one is just shy of 1/100000.

There are 23C6 ways to pick 6 numbers from 23; the probability of any particular one is just shy of 1/100000.Thus the expectation for winning is about $0.30 and losing very close to $1...the t total expectation is about -$0.70.

There are 23C6 ways to pick 6 numbers from 23; the probability of any particular one is just shy of 1/100000.Thus the expectation for winning is about $0.30 and losing very close to $1...the t total expectation is about -$0.70.You can calculate the exact number by using the exact probability of picking the winning number stated in the first line of this answer.

Step-by-step explanation:

I hope it's helpful

Interpretation: On average, we lose about 95 cents each time we play the game.

This is not a fair game because the expected value is not 0.

=============================================================

Explanation:

There is only one way to win the game which is to match all the numbers.

This is out of 376,740 different ways to select 6 items from a pool of 28. The steps on how to get this value are shown below

\(_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{28} C _{6} = \frac{28!}{6!*(28-6)!}\\\\_{28} C _{6} = \frac{28!}{6!*22!}\\\\_{28} C _{6} = \frac{28*27*26*25*24*23*22!}{6!*22!}\\\\_{28} C _{6} = \frac{28*27*26*25*24*23}{6!}\\\\_{28} C _{6} = \frac{28*27*26*25*24*23}{6*5*4*3*2*1}\\\\_{28} C _{6} = \frac{271,252,800}{720}\\\\_{28} C _{6} = 376,740\\\\\)

I used the nCr combination formula. n = 28 is the pool size and r = 6 is the sample size.

Therefore, the probability of winning is 1/376740 and the probability of losing is 1-1/(376740) = 376739/376740

Multiply the odds found by each corresponding net winnings

Win: (1/376740)*(20,000) = 0.05308700960874

Lose: (376739/376740)*(-1) = -0.99999734564951

Then add up those results

0.05308700960874 + (-0.99999734564951) = -0.94691033604078

Rounding to the nearest cent, we get -0.95

The expected value is -0.95

We expect to lose, on average, 95 cents every time we play the game. The game is considered not fair because the expected value is not 0. The game is in favor of the lotto company.

Answer:

They will be 10 miles apart on the 4th hour

Step-by-step explanation:

4hr=60 (15miles)

4hr=48 (12miles)

60

-48

12 more than 10 hours apart

The value of x in the given similar triangles △ABC∼△DEF is 35.

Similar triangles are those triangles in which the ratio of there common sides is always equal to each other.

As it is mentioned that △ABC∼△DEF, therefore, the two triangles are similar. Now, since in similar triangles the ratio of the sides of the triangle is same. Therefore, we can write the ratio of the sides of the triangles as,

AB/ DE = BC/EF = AC/DF

The value of x can be written as,

AB/ DE = BC/EF

25 / x = 20 / 28

x = (25 × 28) / 20

x = 35

Hence, x = 35.

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The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:

3/8

Step-by-step explanation:

\( \frac{p}{q} = \frac{ \frac{3}{4} }{ \frac{2}{1} } \\ \frac{p}{q} = \frac{3}{8} \)

\( \frac{p}{r} = \frac{ \frac{1}{3} }{ \frac{1}{2} } \\ \frac{p}{r} = \frac{2}{3} \)

\( \frac{ \frac{p}{q} }{r} = \frac{ \frac{3}{8} }{ \frac{2}{3} } \\ \frac{ \frac{p}{q} }{r} = \frac{9}{16} = \frac{3}{8} \)

Answer:

26000

Step-by-step explanation:

Answer:

x=2,   y=3,   z=-14

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

-8-4/x= -6

multiply x to both sides of the equation.

-8-4= -6x

solve -8-4. (-12)

-12= -6x

divide both sides by -6.

2=x

Answer: 355

Step-by-step explanation:

Hope this helps !

Answer:

75

Step-by-step explanation:

I hour and 15 minutes in minutes is 75 minutes

1 hour = 60 minutes

you add 15 and you get

60+15=75

The answer would be 75 Minutes.

1 Hour = 60 Minutes

\(60 + 15 = 75\) Minutes.

Answer:

"the short run Phillips curve will shift right."

Step-by-step explanation:

have a great day and PLEASE MARK BRAINLIEST!

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Answer: y-intercept is 0,4

Step-by-step explanation:

Answer:

I believe its C

Step-by-step explanation:

The x intercept is (5,0) and the y intercept is (0,4)

Here's a video for more help:

ht tps://w ww.you tube .com/w atch? v=hG yK6i v0 Lg8

Please erase the spaces

hope i helped! GL!!

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

10% of his customers buy a magazine

This means that \(P = 0.1\)

What is the probability that exactly 5 out of the first 13 customers buy a magazine?

This is P(X = 5) when n = 13. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{13,5}.(0.1)^{5}.(0.9)^{8} = 0.0055\)

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Answer:

\( P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554\)

So then  he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554

Step-by-step explanation:

Let X the random variable of interest "number of customers that buy a magazine", on this case we can model the variable of interest with this distribution:

\(X \sim Binom(n=13, p=0.1)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

We want to find this probability:

\( P(X=5)\)

And using the probability mass function we got:

\( P(X=5) = (13C5) (0.1)^5 (1-0.1)^{13-5}= 0.00554\)

So then  he probability that exactly 5 out of the first 13 customers buy a magazine is 0.0554

Answer:

#2 is 12 and #3 is 45

Step-by-step explanation:

Step 1:  Determine 25% of 48

\(48 * \frac{25}{100}\)

\(48 * 0.25\)

\(12\)

Step 2:  Determine 150% of 30

\(30 * \frac{150}{100}\)

\(30 * 1.5\)

\(45\)

Answer:  #2 is 12 and #3 is 45

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Notice that 2cm*5cm*10cm=4cm*5cm*5cm, then the volumes of both rectangular prisms are equal. On the other hand, notice that one of the prisms has a square face but the other one does not, therefore they cannot be similar nor congruent.

Answer: First option, equal volumes only.

Answer:

3m I believe I'm not fully sure

More than once a week: 0.11

Once a week: 0.51

Every other week: 0.26

Every three weeks: 0.05

Less often than every three weeks: 0.07

To make a relative frequency distribution, follow these steps:

Count the number of occurrences of each category in the data. In this case, 11% of the 251 participants responded "more than once a week", so the number of occurrences for this category is 0.11 * 251 = 27.61 (rounded to 28). Similarly, 51% of the participants responded "once a week", so the number of occurrences for this category is 0.51 * 251 = 127.51 (rounded to 128). And so on for the other categories.

Divide the number of occurrences for each category by the total number of participants. In this case, the total number of participants is 251, so the relative frequency for "more than once a week" is 28 / 251 = 0.11. The relative frequency for "once a week" is 128 / 251 = 0.51. And so on for the other categories.

And that's it! These are the relative frequencies for each category in the data.

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Step-by-step explanation:

done hope this helped you

There are 40 cubes in the bag.

Using algebra to represent the number of black and white cubes in the original bag.

We know that the ratio of black to white cubes = 3:7,

So we can represent the number of black cubes as 3x

And the number of white cubes as 7x.

After adding 8 black cubes,

The ratio becomes =  5:7.

This means that the new number of black cubes is 5x,

And the new number of white cubes is 7x.

To solve for x,

Use the information that we have about the number of black cubes.

We know that we added 8 black cubes to the original bag,

So we can set up the equation:

⇒ 3x + 8 = 5x

Solving for x, we get:

⇒ 2x = 8

⇒   x = 4

Now that we know that x = 4,

We can find the total number of cubes in the bag,

original number of black cubes + 8 = 3x + 8

= 3(4) + 8

= 20

Total number of cubes = original number of black cubes + original number of white cubes

= 3x + 7x

= 10x

= 10(4)

= 40

Therefore,

The required number of cubes = 40.

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