What is the probability that the manufacturing unit has carbon emission beyond the permissible emission level and the test predicts this? a. 0.2975 b. 0.0525 c. 0.0975 d. 0.5525 e. 0.6325

Answer:

the answer is reflected over both axes hope this helped

The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and  14.370 units respectively.

Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.

Therefore, the angles are as follows;

Hence,

length of small diagonal = √9²+ 6² - 2(9)(6) cos 34

length of small diagonal = √81 + 36 - 108(0.82903757255)

length of small diagonal = √117 - 89.5360578359

length of small diagonal = √27.5

length of small diagonal = 5.24404424085

length of small diagonal = 5.244 units

5.244² + d² = 2(9² + 6²)

27.499536 + d² = 2(81+36)

d² = 234 - 27.499536

d²= 206.5

d = √206.5

d = 14.3701078632

d = 14.370 units

length of the longer diagonal = 14.370 units

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Answer:

2 pounds (lbs)

Step-by-step explanation:

Using the normal distribution, it is found that he needs a score of 605 in exam b in order to do equivalently well as he did on exam a.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the z-score for exam a, we have that the parameters are given as follows:

[tex]X = 22, \mu = 40, \sigma = 10[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 40}{10}[/tex]

Z = -1.8.

Then, for the equivalent grade X in exam B, we have that:

[tex]Z = -1.8, \mu = 650, \sigma = 25[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.8 = \frac{X - 650}{25}[/tex]

X - 650 = -1.8 x 25

X = 605.

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Only for c = 49 the given expression is the square of a binomial.

We want to find the values of c such that:

[tex]4x^2 + 14x + c[/tex]

Is the square of a binomial.

Remember that:

[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]

Now we can rewrite our expression as:

[tex](2x)^2 + 2*7*x + c[/tex]

If you compare that with the general binomial expansion, we can see:

[tex]a = 2x[/tex]

[tex]b = 7[/tex]

Then c must be equal to 7 squared:

[tex]7^2 = 49 = c[/tex]

Only for c = 49 the given expression is the square of a binomial.

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If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph

We are given;

Distance travelled by Donna = 70 miles

Average Speed of Donna = 40 mph

Additional Distance travelled = 30 miles

Average speed for entire journey = 44 mph

We know that;

time = distance/speed

Thus

Total time = (70 + 30)/44

Total time = 100/44 h

Time 1 = 70/40 = 7/4 hr

Time 2 = 30/v

Thus;

30/v + 7/4 = 100/44

Multiply through by 44 to get;

1320/v = 100 - 77

v = 1320/23

v = 57.39 mph

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The following claims concerning hyperbola are correct:

It's worth noting that a hyperbola is essentially an open curve with two branches.

The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.

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Answer:

1,2,5

Step-by-step explanation:

Let the length of the room = L = 12m

width of the room = b = 8m

Height of the room = h = 4m

• Area of the four walls of the room = Perimeter of the base x Height of the room.

[tex] = 2(l + b) \times h = 2(12 + 8) \times 4[/tex]

[tex] = 2 \times 20 \times 4 = 160 {m}^{2} [/tex]

Hence , the total cost of white washing four walls of the room ;-

Cost of white washing the ceiling.

So , the total cost of white washing ;

Hope this helps you :)

#Carry on learning# :) ..

The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.

Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.

The three locations form a triangular pattern on the map.  Now the Taliya were to use a center of triangle.

Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

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Answer:

10 x 10^7

Step-by-step explanation:

When multiplying two expressions of scientific notation together, you multiply the values together, and then add the exponents. In this case, it would be:

2.5 x 4 = 10

4 + 3 = 7

10 x 10^7

Answer:

Is 4

4

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Power in repeated multiplication form is : 4 x 4 x 4 x 4

Value of the power : 16 x 16 = 256

[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]

Hello student!

We are given two angles that are right next to each other and are formed off of a 180 degree angle.  These two angles are known as supplementary angles which means that the two angles add up to 180 degrees.  Using that information we can create an equation to help us find x.

[tex]Angle_1 + Angle_2 = 180[/tex]

[tex](5x - 18) + (4x + 45) = 180[/tex]

We now have a functioning equation which we can use to determine x.  The first step that we have is to combine like terms which means to add together numbers which the same variables.  In this case 5x and 4x would add together and -18 and 45 would also add together.

[tex](5x - 18) + (4x + 45) = 180[/tex]

[tex](5x + 4x) + (-18 + 45) = 180[/tex]

[tex]9x + 27 = 180[/tex]

Now we are down to the final steps which is just some algebra.  The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.  

[tex]9x + 27 - 27= 180- 27[/tex]

[tex]9x = 153[/tex]

The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.

[tex]\frac{9x}{9} = \frac{153}{9}[/tex]

[tex]x=17[/tex]

Therefore, our final answer is that x is equal to 17.

Answer:

2x - 11, 2x + 11

Step-by-step explanation:

The length of each side must multiply together to get [tex]4x^2 - 121[/tex] so have to factorise to make 2x-11 and 2x +11.

Answer: 19/28

Step-by-step explanation:

p(student plays basketball)=  14/28

p(student plays baseball)=  7/28

2 students play both sports= 2/28

⇒ 14/28+ 7/28 - 2/28 = 19/28

Answer:

300

Step-by-step explanation:

TR(n)= n*(n+1)

               2

TR(300)=300*(300+1)

                        2

TR(299)=299*(299+1)

                       2

45150-44850=300

One way to solve is to find TR(300) and TR(299) and then find the difference in between them.  

Reason:

The mode is the number that shows up the most.

In this case, it would be 59 because it shows up twice, which is the most compared to any other number (which only show up once).

The thickness of each sheet of paper is 0.0012mm.

To find the thickness of each sheet of paper answer in millimeters​.

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.

To convert cm in mm.

3742.2cm=37422 mm

Surface 1 sheet:

(297mm) X 210mm) =

62370[tex]mm^{2}[/tex]

Volume 1 sheet:

37422mm : 500 =

74.844mm

Thickness of 1 sheet:

74.844mm : 62370mm =

0.0012mm

So, the thickness of each sheet of paper is 0.0012mm.

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Answer:  Yes, you can ignore the four on this one.  Since the shape is irregular, you have the separate them. The bigger box will be 54.  

Length(6) × Width(3) × Height(3)

Do the same for the smaller box = 3 × 1 × 2

The volume of this irregular shape will be 60.

Heads is 6/10 and tails is 4/10

if answer needs to be simplified then heads is 3/5 and tails is 2/5

Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6

Tails: Fraction= 4/10 simplified=2/5

Percentage=40% Decimal=0.4

brainliest if answer is good

Answer:

6.62cm

Step-by-step explanation:

tan = opp/adj

opp = adj(tan)

opp = 13(tan(27))

opp = 6.62cm

Answer:

See below

Step-by-step explanation:

The trigonometric expression sin 30° will be equal to cos 60°. Then the correct option is E.

We can use the fact that:

sin(θ) = cos(90 - θ)

To convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).

The trigonometric expression sin 30° will be equal to

The sin 30° can be written as

sin 30° = cos(90° - 30)

sin 30° = cos 60°

Then the correct option is E.

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Answer:

29.3938769134

Step-by-step explanation:

Answer:

[tex]\sf 12\sqrt{6}[/tex]

Part A

The group of points labeled "T" can be thought of as the main cluster of points. Your teacher might have given another name for it, but this is how I think about it. All of these points are very close to a straight line.

The point R is known as an outlier. It is fairly far from the main cluster, in that it's not near the regression line. You can think of the points in the main cluster as houses along/near a straight road. The outlier house is unfortunately far from that road.

One possible reason for point R is that the student is very talented and can pick up music really easy, thereby not needing that much practice. Another reason is that the student already had tons of prior practice and experience, so they don't need as much practice currently.

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

Part B

We have a strong positive linear association with the main cluster of data points. As mentioned earlier, a straight line is very close to these points. The closer they are to the same straight line, the stronger the correlation.

We have positive correlation because as x goes up, so does y. The variables increase together. Negative correlation happens when x and y go in opposite directions (one goes up, the other goes down).

The outlier point R pulls on the regression line to make it slightly not near the main cluster. The line tries its best to be near all of the points, and that includes the outlier. In some situations, the outlier is ignored and regression is done on the other set of points.

As you can probably guess, the outlier dilutes the strength of the correlation. The further the outlier, the weaker the correlation gets.

Answer:

Here you go!

Step-by-step explanation:

A) The group of points labeled T called cluster. The point labeled R called outlier. Student because of being proficient on the piano before practice was measured.

B) A positive correlation is a relationship between two variables that tend to move in the same direction

Answer:

H=4.243

Step-by-step explanation:

Formula: A^2+B^2=C^2

(3)^2+(3)^2=C^2

9+9=C^2

sqrt18=C

C=4.242640....

Answer:

if it is a 6 sided cube, then 50

Step-by-step explanation:

300/6=50

Answer:

The first answer is correct

Step-by-step explanation:

< O Z Q = < O Z P  + < Q Z P

Given that,

< O Z Q = 12x - 4

< O Z P = 6x + 4

< Q Z P = 3x + 10

Let us solve it now.

< O Z Q = < O Z P  + < Q Z P

12x - 4 = 6x + 4 + 3x + 10

Combine like terms and make the x as the subject.

12x - 4 = 9x + 14

12x - 9x - 4  = 14

3x - 4 = 14

3x = 14 + 4

3x = 18

Divide both sides by 3.

x = 6