Which of the following values of x solves 3(x-6)=18?
1. x=12
2. x=0
3. x=8
4. x=-6

The required probability for a bottle has volume between 995ml to 1,002ml is equals to 32.6%

Mean volume 'μ' = 1,000 milliliters

Standard deviation 'σ' = 7 ml

Using the standard normal distribution,

First, convert the given values to a standard normal distribution.

Using z-scores for each value, we have,

z -score = ( X - μ )/ σ

For X > 996 ml

z1 = (996 - 1000) / 7 = -0.5714

For X < 1002ml

z2 = (1002 - 1000) / 7 = 0.2857

Use a standard normal distribution table ,

Probability that a bottle has a volume between these two values.

Probability that a bottle has a volume between z1 and z2,

P(z1 < z < z2) = P(z < z2) - P(z < z1)

Using a standard normal distribution table,

P(z < z2) = 0.6103

P(z < z1) = 0.2843

Probability that a bottle has a volume between 996 ml and 1,002 ml is,

P(z1 < z < z2)

= P(z < z2) - P(z < z1)

= 0.6103 - 0.2843

= 0.3260

= 32.6%

Therefore, there is a 32.6% probability that a bottle has a volume between 996 ml and 1,002 ml.

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The two angles formed by two coplanar lines and a transversal are Corresponding angles and alternate angles

You should know that two coplanar lines are two transversal lines that are bisect two parallel lines at two or more points

A line which bisects or intersects two or more coplanar lines at different places is a transversal line.  In this case:

1. Corresponding angles are angles that are in similar positions on the same side  of the transversal line

2. Alternate angles:  The alternate angles are angles that are on the opposite sides of the coplanar line and on top and bottom of the transversal lines respectively.

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Correct question

What are two angles that are formed by two coplanar lines and a transversal?

Answer:

They are all acute triangles or iscoles triangles

Step-by-step explanation:

The  probability of event A is P(A) = 1/4 or 0.25.

The formula to find P(A) for a series of simple events is:

P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)

For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:

- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.

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Answer:

r = ± \(\sqrt{q^2-p^4\)

Step-by-step explanation:

p² = \(\sqrt{q^2-r^2}\) ( square both sides )

(p² )² = q² - r²

\(p^{4}\) = q² - r² ( subtract q² from both sides )

\(p^{4}\) - q² = - r² ( multiply through by - 1 )

q² - \(p^{4}\) = r² ( take square root of both sides )

± \(\sqrt{q^2-p^4}\) = r

Answer:

¾

Step-by-step explanation:

\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope of line

\( = \frac{6 - 3}{0 - ( - 4)} \)

\( =\frac{3}{4} \)

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer: 120 cm

Step-by-step explanation:

V = a^2 h/3

Answer:

B

Step-by-step explanation:

The line is solid, so eliminate A and D.

Also, the line is shaded below, so this eliminates C.

The inequality is represented by the given graph is y ≤ -x/3+1 [option B]

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given is a graph of an inequality, passing by (0, 1) and (3, 0), we need to determine the inequality,

Since,

The line is solid, so eliminate A and D.

Also, the line is shaded below, so this eliminates C.

Therefore, the inequality will be y ≤ -x/3+1

Hence, the inequality is represented by the given graph is y ≤ -x/3+1 [option B]

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Answer:

x = 9

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{BC}{DE}\) = \(\frac{AB}{AD}\) ( substitute values )

\(\frac{2x+3}{15}\) = \(\frac{20+8}{20}\) = \(\frac{28}{20}\) ( cross- multiply )

20(2x + 3) = 15 × 28 = 420 ( divide both sides by 20 )

2x + 3 = 21 ( subtract 3 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Answer:

x = 9

Step-by-step explanation:

In similar triangles, the corresponding sides are in same proportion.

 AB = AD + DB

       = 20 + 8

       =28

        ΔABC ~ ΔADE,

     \(\sf \dfrac{BC}{DE}=\dfrac{AB}{AD}\\\\\\\dfrac{2x + 3}{15}=\dfrac{28}{20}\\\\\ 2x + 3=\dfrac{28}{20}*15\)

     \(2x + 3 = 7\) *3

    2x + 3 = 21

Subtract 3 from both sides,

          2x = 21 - 3

          2x = 18

Divide both sides by 2,

            x = 18 ÷ 2

            x = 9

Answer:

1/6 yard

Step-by-step explanation:

A rectangular plaque at a historical museum is 5/6 and 2/3 yard wide how

Given data

Length of plaque= 5/6 yard

Width of plaque= 2/3 yard

The difference between the Length and the width is

=5/6-2/3

=5-4/6

=1/6 yard

Hence the Lenght is 1/6 yard longer than the width

Answer:

D

Step-by-step explanation:   hope this helps

Answer: A. We will divide total seeds by the number of total rows.

300 seeds will be planted in each row.

Step-by-step explanation:

Given: Total seeds = 2700

Total rows = 9

If each row will have the same number of seeds.

Then,  the number of seeds will be planted in each row = (Total seeds) ÷ (Total rows)

= 2700÷9

= 300

Hence, 300 seeds will be planted in each row.

False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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Answer:

(-1, -4)

Step-by-step explanation:

To find the missing endpoint, we can multiply the midpoint coordinates by 2, so we can get 4 and 2. Then we can subtract the coordinates from the endpoint we have, which is A, to those numbers.

4-5 is -1

2-6 is -4

Put them together and we get (-1, -4) as our endpoint B.

Answer:

Step-by-step explanation:

(5+x)/2=2, (6+y)/2=1

for the x value

5+x=4

x=-1

then for the y value

6+y=2

y=-4

then your answer would be (-1,-4)

Answer:

nic

Step-by-step explanation:

Answer:

a. Yes

B. 12

C. 7.5 cm

I think.............

The best answer that describes the least squares criterion is that it identifies the best fitting line as the line that minimizes the sum of the squared vertical distances of points from the line. Therefore, the correct option is: It identifies the best fitting line as the line that minimizes the sum of the squared vertical distances of points from the line.

The least squares criterion is a statistical approach that aims to find the best-fitting line for a set of data points. It works by minimizing the sum of the squares of the residuals, where a residual is the difference between the observed value and the predicted value of the dependent variable.

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Answer:

Step-by-step explanation:

what

Answer:

9in

Step-by-step explanation:

a p e x

Answer:

Step-by-step explanation:

Answer:

50.3 square units

Step-by-step explanation:

area of rectangle: 11 x twice the radius

radius = 2

A(rect): = 11(4) = 44 sq units

A (semi-circle) = (π·r²) / 2

A = 4π / 2 = 2π = 6.28 sq units

44.0 + 6.28 = 50.28

Answer:

68.1

Step-by-step explanation:

3.14*3²=28.26

28.26/2=14.13

3*2=6

9*6=54

54+14.13=68.13

68.1

Answer:

6.40 meters

Step-by-step explanation:

To convert feet to meters, divide by about 3.281

21 feet/3.281 = 6.4004876562 meters

Round to the nearest hundredth, so it will be 6.40 meters

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

900 ml of milk

Step-by-step explanation:

the scale is 1:1 so just multiply by 3

Scrooge sees out of his window when Marley's ghost leaves as all the spirits of people whom Scrooge has not met before in his life. Thus, option B is correct.

Although ghosts are typically thought of as lone, human-like essences, and there have been reports of ghostly battalions, ghosts that resemble animals instead than people.

Here, we have,

Scrooge discovers "the air filled with phantoms" outside s windowsill after Marley's Apparition hath left it. Some of these imprisoned spirits were people Scrooge had indeed known. It resembles an incredible image of the metropolis that Scrooge has already been familiar with. Scrooge is compelled to agree.

Scrooge responds with the ghost's request to peek out just the balcony. He observes a mass of ghosts, each one imprisoned in bonds. As both they and Marley vanish into darkness, they sob at their failure to live noble, compassionate lives and their incapacity to help other people in need.

Therefore, option B is the correct option.

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The equation of the circle is with the diameter given is x² + y² = 9.

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.

We can quickly determine the circle's centre and radius thanks to this form. We must first square the x and y terms before rearranging the components in order to transform a circular equation into standard form.

The endpoints of the diameter is (-3,0) and (3,0).

Now, using the section formula the coordinates of radius are:

((-3+3)/2, (0+0)/2) = (0,0

The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h,k) is the center of the circle.

Substituting the values:

(x - 0)² + (y - 0)² = 3²

Hence, the equation of the circle is x² + y² = 9.

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Answer:

Hello Mate! Ans : Yes, number x = 9.688888...... is rational number.

Answer:

82 spaces are filled.

Step-by-step explanation:

9•10=90..

90-8=82

Answer:

22 students

Step-by-step explanation:

0.65 - 0.3 = 0.35

0.35 - 0.15 = 0.2

0.35 + 0.2 = 0.55

0.3 + 0.15 = 0.45

0.55 prefer football.

0.55 × 40 = 22

Answer:

11 and 8

Step-by-step explanation: