A coordinate plane linear graph shows inequalities. A line goes through (0, 1) and (2, minus 1). Another line goes through (0, minus 3) and (2, 1). From intersection, region to the right of it is A, below is D, to the left is C, and above is B. The region in the graph that represents the solution of the system of linear inequalities y ≥ 2x − 3 and y ≤ -x + 1 is .

Answer:

no it can not make a triangle

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of \(\frac{15}{32} ,\frac{7}{31}\) In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

\(-\frac{15*31}{32*31} +\frac{7*32}{31*32}\)

3) Simplify. Denominators are now the same.

\(-\frac{465}{992} +\frac{224}{992}\)

4) Join the denominators.

\(\frac{-465+224}{992}\)

5) Simplify

\(-\frac{241}{992}\)

Decimal Form: -0.242944

15_10

24_? criscos 15x=240

x= 240÷15

x=16

Answer:

B = 16

Step-by-step explanation:

Given V is directly proportional to B then the equation relating them is

V = kB ← k is the constant of proportion

To find k use the condition

V = 15 when B = 10

15 = 10k ( divide both sides by 10 )

1.5 = k

V = 1.5B ← equation of proportion

when V = 24 , then

24 = 1.5B ( divide both sides by 1.5 )

16 = B

Answer:

5.4

Step-by-step explanation:

The scale of the 2 shapes is 1:1.8. so if the smaller shape's side is 3, insert 3 into the ratio. Now, multiply 3*1.8, and you get your answer of 5.4

The height of the basketball hoop is 13.32'.

What is law of similarity?

The Law of Similarity in mathematics states that if two geometric figures have the same shape but different sizes, then they are considered similar. This means that the corresponding angles of the two figures are congruent, and the corresponding sides are proportional in length.

Formally, if we have two geometric figures A and B, and if every angle of figure A is congruent to the corresponding angle of figure B, and if the ratio of the length of any pair of corresponding sides of A and B is constant, then we can say that A and B are similar figures.

Here we can see two triangle and base of two triangle is given.

Here base of small triangle is 12' and the base of big triangle is (12'+25') = 37'.

It is also given that height of small triangle is 4'3.84".

Now we want to find the height of the basketball hoop which is equal to height of big triangle.

Let the height of the basketball hoop be x.

So, by law of similarity ratios,

12'/37' = 4'3.84"/x

Now, 4'3.84" = 4.32'

So, 12'/37' = 4.32'/x

Therefore, x = 13.32'

Therefore, the height of the basketball hoop is 13.32'.

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Answer:

this a answer nogufyoias5 oFos

Answer:

I need this answer as well

Step-by-step explanation:

Answer:

Length=45 inches, width=15 inches

Step-by-step explanation:

Length=3w

Width=w

Can be written as 3w+w+3w+w

Combine like terms to get 8w

120/8=15

w=15

Width=15 inches

Length=3(15)=45

Length=45 inches

Answer:

x=3

Step-by-step explanation:

distribute 3 into (x+2)

3x+6=x+12

move all the x variables to one side and all the numbers to another side

3x+6=x+12                                                                                                                         -3x      -3x

6=-2x+12

-12       -12

6-12=-2x

-6=-2x

isolate x by dividing everything by -2

-6/-2=-2x/-2

eliminate the -2 multiplying the x with the -2 dividing the -2x

-6/-2= x

x=3

Answer:

x=3

Step-by-step explanation:

3(x+2)=x+12

First, distribute the 3(x+2).

3x+6=x+12

Next, subtract 1x from each side. That will cancel out the x in the x+12.

2x+6=12

Subtract 6 from both sides. Canceling out the 6 in the 3x+6.

2x=6

Divide both sides by 2.

x=3

Answer:

\(\frac{1}{36}\)

Step-by-step explanation:

The probability of rolling a 4 is 1/6.

Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).

The probability of at least one error occurring in one billion divisions with this chip is approximately 0.1721, or 17.21%.

The probability of at least one error occurring in one billion divisions with this chip can be calculated using the binomial distribution. Let p be the probability of an error occurring in one division, which is 1/6 billion, and q be the probability of no error occurring in one division, which is 1 - p. Then, the probability of at least one error occurring in one billion divisions can be calculated as 1 - (q)^1,000,000,000, where the exponent is the number of trials.

Plugging in the values, we get:

p = 1/6 billion

q = 1 - p = 4,999,999,999/6 billion

n = 1 billion

P(at least one error) = 1 - (4,999,999,999/6 billion)^1,000,000,000 = 0.1721

Therefore, the probability of at least one error occurring in one billion divisions with this chip is approximately 0.1721, or 17.21%.

The binomial distribution is used to model the number of successes in a fixed number of independent trials with a constant probability of success. In this case, the number of successes is the number of errors, and the probability of success is the probability of an error occurring in one division. We calculate the probability of at least one error occurring by subtracting the probability of no errors from 1. We use the exponentiation rule of exponents to calculate the probability of no errors occurring in one billion divisions, which is the probability of no errors occurring in one division raised to the power of the number of divisions. Finally, we use the formula to get the probability of at least one error occurring in one billion divisions with this chip.

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Answer:

13

Step-by-step explanation:

You can think of the 2x + 5 as a rule that works on your input and spits out something new. The rule says to "times by 2 and then add 5" SO... take the input, 4, in this case, 4 × 2 is 8 and then add 5 and out comes the output 13.

in mathey writing it looks like this:

2x+ 5, x = 4

2(4) + 5

8 + 5

13

Answer:

The answer is 49 in^2.

Step-by-step explanation:

The area of the triangle is 1/2* perpendicular height * horizontal length.

The horizontal length is 14 in, while the perpendicular height is 7 in.

The area of the triangle is 1/2* 7 in * 14 in = 49 in^2

The condition for the figure to be similar is that; DE = FD

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

In the problem, the ratio should be CD/DE = GD/DF

We can also write the ratios of the corresponding sides as:

CD/DE = GD/DF

Therefore, CE and GF are similar

Thus, the condition for the figure to be similar is that;

DE = FD

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Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

We have the following polynomial:

See that 2k is the greatest common factor, then, let's factor it out

We can still do some small factors inside the parenthesis, like:

Then, inside the parenthesis it's

Therefore, the expression, completely simplified is

Answer:

C

Step-by-step explanation:

The equation for the Area of a circle: A = (pie) r^2

1) Find your radius

   5/2 = 2.5

2) square your radius

     2.5^2 = 6.25

Based on this, we can make an estimated guess that it will be C

Hope this helps =)

Let me know if incorrect, if that is the case then I am sooo sorry.

LOL, i just reread the question.

Do not multiply by Pie, DON'T!

The answer is C, 6.25pie

Answer:

357 cm2

Step-by-step explanation:

The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!

The 95% confidence interval estimate of the percentage of orders that are not accurate is approximately (17.37%, 27.83%)

Let's denote p as the proportion of orders that are not accurate.

The sample proportion of orders that are not accurate is given by:

p(bar) = 70 / (239 + 70)

= 70 / 309

≈ 0.226

The standard error of the proportion is calculated as:

SE = √[(p(bar)(1 - p(bar))) / n]

= √[(0.226(1 - 0.226)) / 309]

≈ √(0.1785 / 309)

≈ 0.0267

To find the margin of error, we need to multiply the standard error by the critical value corresponding to a 95% confidence level. For a 95% confidence level, the critical value is approximately 1.96.

Margin of error = 1.96 × SE

≈ 1.96 × 0.0267

≈ 0.0523

Now we can construct the confidence interval:

Lower limit = p(bar) - Margin of error

= 0.226 - 0.0523

≈ 0.1737

Upper limit = p(bar) + Margin of error

= 0.226 + 0.0523

≈ 0.2783

Therefore, the 95% confidence interval estimate of the percentage of orders that are not accurate is approximately (17.37%, 27.83%).

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Think of a bracelet made of five different coloured beads. Be sure to account for flipping and rotating. Check to see whether your solution is right by applying the same logic to a bracelet with four beads of four different colours.

Properties. The form with the biggest area for a given perimeter is a circle (see Isoperimetric inequality). The circle has excellent spherical shape around the centre for all angles and every line thru the centre generates a path of reflection symmetry.

My response is: There are (n-1)!/2 potential bracelets for n different colours, as in our example. Therefore, there are 4!/2=12 various bracelets that might be made for n=5.

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Answer:

3x + 2(x − 1) − 4?

3x + 2x - 2 - 4

5x - 6

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

2/5(3/2x - y + 25)

Step-by-step explanation:

The GCF is 2/5

Factoring:

= 2/5(3/2x - y + 25)

___________________A

The function that represents the inequality of the given graph is;

Option A

From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.

Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.

Looking at the options, option A is right and we will prove it thus;

for y = x³ - 3

At x = 2, we see that;

y = 2³ - 3

y = 5

This corresponds with the given equation

For the second curve, for y = x² + 6;

At x = 2, we have;

y = 2² + 6

y = 4 + 6

y = 10

This corresponds with what is given and is thus correct.

Thus, option A is the correct answer

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The subject is taught in a non-theoretical manner in Al Bluman's Elementary Statistics. Today's world speaks statistics, and Bluman's market-leading Step-by-Step Approach makes it simple to learn and comprehend.

Bluman gives your students all the assistance they need to understand the foundations of statistics and draw that link by assisting them in transitioning from the computational to the conceptual.

Elementary Statistical Methods are the collection, analysis, presentation, and interpretation of data, and probability. The analysis includes descriptive statistics, correlation and regression, confidence intervals, and hypothesis testing.

Thus, The subject is taught in a non-theoretical manner in Al Bluman's Elementary Statistics. Today's world speaks statistics, and Bluman's market-leading Step-by-Step Approach makes it simple to learn and comprehend.

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A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.


A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.

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Answer:

The answer is 6

Step-by-step explanation:

Because 2 1/4 divided by 13 1/2 is 6

Answer:

answer is no

Step-by-step explanation: