50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m​

Answer:

410.305

Step-by-step explanation:

there's the answer for ya

Answers and solutions are attached in the pictures! Hope it helps!

We should set the mean amount of coffee dispensed to 341 ml to ensure that the cup does not overflow more than 2% of the time.

The connection between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.

To solve this problem, we need to find the mean amount of coffee that should be dispensed into the cup to ensure that it does not overflow more than 2% of the time.

First, we need to find the z-score corresponding to the 2nd percentile (i.e., the 2% threshold). We can use a standard normal distribution table or a calculator to find this value. Using a calculator, we can use the inverse norm function with a left-tailed probability of 0.02 to find the z-score:

invNorm(0.02) = -2.05

Next, we can use the formula for a z-score to find the corresponding raw score (x value) for the 2nd percentile:

z = (x - μ) / σ

-2.05 = (x - μ) / 4.4

Solving for x, we get:

x = -2.05(4.4) + μ

x = -9.02 + μ

So, to ensure that the cup does not overflow more than 2% of the time, we need to set the mean amount of coffee dispensed to be at least -9.02 ml below the nominal 350-ml cup size. However, we cannot dispense a negative amount of coffee, so we should round this value up to the nearest whole number:

μ = 350 - 9.02 ≈ 341

Therefore, we should set the mean amount of coffee dispensed to 341 ml to ensure that the cup does not overflow more than 2% of the time.

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The three steps to solve the proof are,

The given argument uses the method of indirect proof, also known as proof by contradiction, to derive the conclusion that ~(X v Y) from the premises (X v Y) ⊃ (Z• U) and X ⊢ Z.

To begin the proof, the assumption ~Z ⊃ ~(X v Y) is made, which states that if Z is false, then X or Y must also be false. Using Modus Tollens, the statement ~Z is derived, as X is known to be true. Finally, using Modus Ponens, the statement ~(X v Y) is derived, which contradicts the initial assumption.

Therefore, the assumption ~Z ⊃ ~(X v Y) must be false, and it follows that Z must be true.

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Answer:

b.  {-3, -1, 2}

Step-by-step explanation:

An ordered pair is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.

The domain is the set of input values (x-values)

The range is the set of output values (y-values)

Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)

Domain:  {-3, -1, 2}

Range:  {0, 4, 6}

Answer:

9 and 12

Step-by-step explanation:

Pythagorean Theorem. One of the most common Pythagorean triples is 3, 4, 5 with 3 and 4 the legs and 5 the hypoenuse. That will make 9, 12, 15 anotther trible because you are tripling the side lengths. 12-9=3 so this triangle works.

A = 139°

B = 139°

You can see A and B are coefficients of each other, which means they have the same angle because they are opposite each other on the straight line. just like the two 41° angles are.

The angle around a point always add up to 360°, so add the 41° angles.

41 + 41 = 82°

Then minus this by 360°.

360 - 82 = 278°

And to work out one angle, which gives you the angle for both, divide 278 by two.

278 ÷ 2 = 139°

Both A and B have an angle of 139°

Example:

To find the value of two intersecting lines, you need to know the equations of both lines. Then, you can set the equations equal to each other and solve for the variable x. This will give you the x-coordinate of the point where the lines intersect. To find the y-coordinate, you can plug the value of x into either equation and solve for y. For example, if one line is y = 3x - 5 and another line is y = -2x + 7, then you can set 3x - 5 = -2x + 7 and solve for x:

3x - 5 = -2x + 7

5x = 12

x = 12/5

Then, plug x = 12/5 into either equation and solve for y:

y = 3(12/5) - 5

y = 36/5 - 25/5

y = 11/5

Therefore, the point of intersection is (12/5, 11/5).

If one of the lines has a given angle, such as 41 degrees, then you can use trigonometry to find its equation. For example, if one line passes through the origin and has an angle of 41 degrees with the positive x-axis, then you can use the slope formula to find its equation:

slope = tan(41 degrees) ≈ 0.87

y = mx + b

y = 0.87x + 0

Then, you can use the same method as before to find the point of intersection with another line.

_______________________________________________________

The answer is 139 degrees, using the method I gave.

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Answer:

130°

Step-by-step explanation:

\(e = \frac{1}{2} (100 \degree - 80 \degree) \\ \\ e = \frac{1}{2} \times 20 \degree \\ \\ e = 10 \degree \\ \\ a = \frac{1}{2} \times 80 \degree \\ \\ a = 40 \degree \\ \\ by \: interior \: \angle \: sum \: postulate \: of \: a \: \triangle \\ a + e + f = 180\degree \\

40\degree + 10\degree + f = 180\degree \\

50\degree + f = 180\degree \\

f = 180\degree - 50\degree \\

\huge \red {\boxed {f = 130\degree}} \)

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Answer:

(-12, 0)

Step-by-step explanation:

They are asking for the coordinates of the given point on the plane.

Therefore, since the point is on the x axis, we know that its y-coordinate must be zero. y = 0

Now, since it is 12 units to the left of the y axis, then its x coordinate is -12

x = -12

Therefore, the point in plane coordinates is written as: (-12, 0)

Answer:

The angles are: 50.3 and 129.7

Step-by-step explanation:

The sum of supplementary angles is 180°.

Let x be one angle then the other angle will be x+79.4

Using the supplementary angle sum

\(x+x+79.4 = 180\\2x+79.4 = 180\\2x = 180-79.4\\2x = 100.6\\\frac{2x}{2} = \frac{100.6}{2}\\x = 50.3\)

For the measurement of 2nd angle

x+79.4 => 50.3+79.4 => 129.7

Hence,

The angles are: 50.3 and 129.7

Answer:

11 buses

Step-by-step explanation:

215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Answer:

x=11

Step-by-step explanation:

22*y=32

y=16/11

So,

x*16/11=16

x=11

Answer:A

Step-by-step explanation:

a. Linearly dependent. Notice that u = 3w, so w can be written as a scalar multiple of u, meaning the set is linearly dependent.

b. Linearly independent. The vectors are not scalar multiples of each other, meaning they are linearly independent.

c. Linearly dependent. Notice that v = -2u, so v can be written as a scalar multiple of u, meaning the set is linearly dependent.

d. Linearly independent. The vectors are not scalar multiples of each other, meaning they are linearly independent.

e. Linearly dependent. If (ui, u2, ..., um) is a set of vectors in R" and n < m, then the set is linearly dependent. This means that the set of vectors {u, v, w} is linearly dependent as n = 2 and m = 3.

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Answer:

x = 40

Step-by-step explanation:

The figure shows two similar triangles. Thus, the side lengths of similar triangles are proportional to each other. Therefore:

\( \frac{24}{24 - 15} = \frac{x}{x - 25} \)

\( \frac{24}{9} = \frac{x}{x - 25} \)

Cross multiply

\( 24(x - 25) = 9(x) \)

\( 24x - 600 = 9x \)

Subtract 24x from each side

\( - 600 = 9x - 24x \)

\( - 600 = -15x \)

Divide both sides by -15

\( 40 = x \)

x = 40

Answer:

hiii 7272<>*~_+89×[0<×<×*×

Answer:

V = 904.3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

Let pi = 3.14 and the radius is 1/2 of the diameter d= 12 so r =1/2(12) =6

V = 4/3 (3.14) * (6)^3

V = 4/3 * 3.14 * 216

V =904.32

Rounding to the nearest tenth

V = 904.3

The function that represents how much more water can be added to the bucket before it overflows is given as follows:

c(x) = 6x³ + 3x² - 2x - 2.

The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.

The functions in this problem are defined as follows:

Then the capacity function is obtained as follows:

c(x) = f(x) - g(x)

c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)

Then the distributive property is applied to the negative sign as follows:

c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.

Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:

c(x) = 6x³ + 3x² - 2x - 2.

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Answer:

x=17/5

i hope this helps

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Explanation:

Define the events

The given probabilities are

The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.

----------------------

We want to find the value of P(H and F), which is the same as P(F and H)

We can use the conditional probability formula

P(F given H) = P(F and H)/P(H)

P(H)*P(F given H) = P(F and H)

P(F and H) = P(H)*P(F given H)

P(F and H) = 0.60*0.80

P(F and H) = 0.48

There's a 48% chance someone orders a burger and fries.

Answer:

8.6

Step-by-step explanation:

VW = WX / cos (36°)

= 7 / 0.81

= 8.6

Answer:

8.65

Step-by-step explanation:

cos 36° = 7 / VW

VW = 7 /  cos 36°

VW = 8.65

Answer:

032.0 yd2 de nada corona por favor

Answer:

2 \(\frac{2}{9}\) days

Step-by-step explanation:

Let d = the number of days.

\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1

\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1

\(\frac{9}{20}\) d = 1  Multiply both sides by \(\frac{20}{9}\)

(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))

d = \(\frac{20}{9}\)   I can break 20 into 9 + 9 + 2

d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\)           \(\frac{9}{9}\) = 1

d = 1 + 1 + \(\frac{2}{9}\)

d = 2 \(\frac{2}{9}\)

Answer:

146, 146

Step-by-step explanation:

\(AB^2 = (-4-4)^2 + (11-8)^2 = 73 \\ \\ BC^2 = (4-1)^2+ (8-0)^2 =73 \\ \\ \therefore AB^2 + BC^2 = 146 \\ \\ \\ AC^2 = (-4-1)^2 + (11-0)^2 = 146\)

The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

Answer:
A and B

Step-by-step explanation:

-10/3= -3.33333333333

(- (-10))/(-3)= -10/3, (negative sign being erased)

=-3.33333333333

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Total earnings for an 8-year period is - 378520 dollars.

The salaries, year by year, can be written in a sequence

           40000,  40000 + 2090 , 40000 + 2(2090)......

which is an arithmetic sequence, with

                         a=40,000  , d=2090

and the general term

                        \(a_{n}\) = 40000 + 2090 (n - 1)

gives the salary at the beginning of year n.

Recall that for the arithmetic sequence,

              \(a_{n}\) = \(a + (n - 1 )d\)

the nth partial sum is given by either of the equivalent formulas:

              \(S_{n} = \frac{n}{2} [2a + (n - 1 )d ]\)

we find \(S_{8}\) = the sum of the first 8 salaries:

            \(S_{n} = \frac{8}{2} [2. 40000 + (8 - 1 )2090 ]\)

                 = 4 [ 80000 + 7 × 2090 ]

                 = 4 [ 80000 ++ 14630 ]

                 = 4 × 94630

                 = 378520

So, total earnings for an 8-year period is - 378520 dollars.

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X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

K = 19