6) What is the mystery number?
The mystery number has ...
• 9 in the Ones place.
8 in the Millions place.
4 in the Hundred Thousands place.
3 in the Hundreds place.
3 in the Thousands place.
3 in the Tens place.
O in the Ten Thousands place.

Answer:

-25x-45y, because if we have got + and -, so we will write minus.

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

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Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            \(H_o : p = 0.05\)

Versus

                          \(H_1 : p \ne 0.05\)

Use α = 0.05. Find the P-value for the test

Answer:

The  p-value is  \(p-value = 0.5949\)        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        \(\^ p = \frac{k}{n}\)

=>     \(\^ p = \frac{13}{300}\)

=>     \(\^ p = 0.0433\)

Generally the standard Error is mathematically represented as

       \(SE = \sqrt{\frac{p(1- p)}{n} }\)

=>     \(SE = \sqrt{\frac{0.05(1- 0.05)}{300} }\)

=>     \(SE = 0.0126\)

Generally the test statistics is mathematically represented as

       \(z = \frac{\^ p - p }{SE}\)

=>     \(z = \frac{0.0433 - 0.05 }{0.0126}\)

=>     \(z = -0.5317\)

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         \((P < -0.5317 ) = 0.29747\)

Generally the p-value is mathematically represented as

       \(p-value = 2 * P(Z < -0.5317 )\)

=>     \(p-value = 2 * 0.29747\)

=>     \(p-value = 0.5949\)        

Answer:

First, solve 3x+2y=4 for y.

*Subtract 3x from both sides*

2y=-3x+4

*Divide both sides by 2*

y=-3/2x+2

Parallel lines have the same slope so the answer is y=-3/2x+7/2

Hope this helps!!

One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

200.1625

Step-by-step explanation:

38.15 × 4 + .125 × 380.5

Answer:

23

Step-by-step explanation:

Answer:

The new mean should be 23.

Step-by-step explanation:

The mean of a group of numbers is the average.

We can find the average of a group of numbers by adding them all together and then dividing the final sum by the amount of numbers in the list.

All the numbers added together totaled to 161, and 161 divided by 7 equals 23.

Hope this helps!

Answer:

d?.............................

The number line which shows the solution to the inequality is option C

3x + 2 ≤ -11

or

4x - 3 > 9

3x + 2 ≤ -11

3x ≤ -11 - 2

3x ≤ -13

x ≤ -13/3

x ≤ -4.33

or

4x - 3 > 9

4x > 9 + 3

4x > 12

x > 12 / 4

x > 3

Ultimately, the answer to the inequalities is x ≤ -4.33 and x > 3

Therefore, the number line which shows the solution to the inequality is option C

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The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

3r =15

Step-by-step explanation:

r=20-15

r=5

3r=3×5

3r=15

pls follow

Answer:

r = 5

Step-by-step explanation:

20 - r = 15

     + r    + r

20 = 15 + r

-15    -15

5 = r

The area of the square of the leg 6 is 36 square units.

The area of the square of the leg 8 is 64 square units.

The area of the square of the hypotenuse square is 100 square units.

The length of the hypotenuse is 10 units.

Formula Used

Area of square, A = \((a)^{2}\)

Here, \(a\) is the length of the side of the square.

Pythagoras Theorem is given as,

\(h^{2} =p^{2} +b^{2}\)

Here, \(h, p, b\) are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.

Area of the Square of the Leg 6

Length of the edge of the square = 6 units

Area of square = 6*6

= 36 square units

Area of the Square of the Leg 8

Length of the edge of the square = 8 units

Area of square = 8*8

= 64 square units

Area of the Hypotenuse Square and the Length of the Hypotenuse

Applying Pythagoras theorem,

\(h^{2} = (8)^{2} +(6)^{2}\)

\(h^{2} = 64+36\)

\(h = \sqrt{100}\)

\(h = 10 units\)

Therefore, the area of the hypotenuse square is 100 square units and the length of the hypotenuse comes out to be10 units.

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Answer: in the picture

Step-by-step explanation:

Answer:

If 20 is 100% then 20 divided by 4 equals 5 so 20 lbs. - 5 lbs. = 15 lbs. the baker has 15 pounds of sugar left.

Step-by-step explanation:

This is a wonderfully easy problem. So, you start off by dividing the pounds of sugar by the denominator which is 4. So:

20 / 4 = ?

Then you that product and multiply it by the numerator, which is 3 in this case and you get your answer.

Thanks!

The number of lights L that are on after t minutes of the stage shows is,

A. L = (1/2)t + 10.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, When the show starts, 10 lights are on which is a constant in out function.

Every 30 seconds or (1/2) a minute 1 more light comes on.

∴  The function best models the number of lights that are on after t minutes of the stage shows is,

L = (1/2)t + 10.

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Answer:

aw ty but is there a question?

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

divide 20 and 16 by 4

20/4=5

16/4=4

Answer:

last one I think

Step-by-step explanation:

jejejeiwneieneisnsisneiwnsisna

Answer:

15 percent

Step-by-step explanation:

3/20 multiply the fraction by 5 to equal 100, thus creating 15/100

Answer:

\(\frac{16}{x} = \frac{80}{100}\)  

Step-by-step explanation:

To set up this proportion, we know that 16 must correspond with 80% and the x, the number we're looking for must correspond with 100%

\(\frac{16}{x} = \frac{80}{100}\)

This would be the correct proportion, and you could simplify it to equal

\(\frac{16*100}{80}\)

Answer:

60 miles

Step-by-step explanation:

120/2=60 or 60x2=120

Answer:60 miles

Step-by-step explanation:

120/2=60

Answer:

a

Step-by-step explanation:

give branlest pls

Answer:

y=-4x-4

Step-by-step explanation:

y=-4x-4

y=mx+b where m=slope and b=y-intercept.

Answer:

7.)\(\frac{1}{2}\)

8.) \(\frac{1}{8}\)

9.)\(\frac{1}{3}\)

10.)\(\frac{1}{6}\)×\(\frac{1}{2}\)=\(\frac{1}{12}\)

I should know, I finished this like, a month ago?

Answer:

  multiply them

Step-by-step explanation:

Units work in algebraic equations the same way that variables do. They can be multiplied and divided as though they were variables.

For units conversion, we want to change the units without changing the value of the quantity. We do that by multiplying by a unit conversion factor that has a numerator equal to its denominator.

__

We know ...

  1 cup = 8 fl oz

  2 cups = 1 pint

These relations can be written as the conversion factors ...

  (8 floz)/(1 cup)   and   (2 cups)/(1 pint)

Multiplying these together, the units of cups cancel, leaving fluid ounces per pint.

  \(\dfrac{8\text{ fl oz}}{1\text{ cup}}\times\dfrac{2\text{ cup}}{1\text{ pint}}=\dfrac{8\cdot2\text{ fl oz$\cdot$cup}}{1\cdot1\text{ pint$\cdot$cup}}=\boxed{\dfrac{16\text{ fl oz}}{1\text{ pint}}}\)

_____

Additional comment

The concept of "like terms" applies to expressions involving units as well as expressions involving variables. Terms can only be added or subtracted if they have the same units.