Which is the least metric mass?

0.0019 kg
0.19 g
190 cg
1900 mg

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

To perform a simulation using a table of random digits to determine the number of correct answers Jason gets on a 10-question multiple-choice exam, follow these steps:

1. Assign each answer choice a digit from 0 to 4. For example, A=0, B=1, C=2, D=3, and E=4.

2. Determine the correct answers for each question and note down the corresponding digits. For example, if the correct answers are A, B, C, D, and E for the first five questions, the correct answer digits would be 0, 1, 2, 3, and 4.

3. Select a starting point in the table of random digits. You can choose any point, as long as you use a consistent method to move through the table.

4. For each question, compare the random digit in the table to the correct answer digit. If the digits match, that means Jason guessed the answer correctly.

5. Move to the next random digit in the table for the next question, until you have simulated all 10 questions.

6. Count the number of correct answers based on matching digits and record the result.

7. Repeat steps 3 to 6 multiple times to get a more accurate estimate of Jason's expected number of correct answers. You can use different starting points in the table for each repetition.

8. Calculate the average number of correct answers from all the repetitions to estimate Jason's performance when guessing the answers.

By using a table of a random number in this manner, you can simulate the number of correct answers Jason might get on a 10-question multiple-choice exam with 5 choices for each question.

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Answer:

when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

Hope this helped if it did can i have brainliest

Answer:

Step-by-step explanation:

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Answer:

g(6)=21

Step-by-step explanation:

Given g(x)= 3x+3, Find g(6)

1. Replace g(x) with g(6), and x with 6. The equation will now look like this: g(6)=3(6)+3

2. Multiply 3 and 6, to equal 18. The equation will now look like this: g(6)=18+3

3. Add 18 and 3 to equal 21. The Answer is g(6)=21

la respuesta es la C plane

Answer:

\(x=-1/2\)

Step-by-step explanation:

\(4 x - 6 = 10 x - 3\)

\(4 x -10x= - 3+6\)

\(-6x=3\)

\(-6x/6=-3/6\)

\(x=-1/2\)

Answer:

\(x = - \frac{1}{2} \)

Step-by-step explanation:

\(4x - 6 = 10x - 3 \\ - 6 + 3 = 10x - 4x \\ - 3 = 6x \\ \frac{ - 3}{6} = \frac{6x}{6} \\ x = - \frac{1}{2} \)

The formula connecting E and F is E = k/F3, where k is a constant. This formula states that the value of E is inversely proportional to the cube of F.

That is, as F increases, the value of E decreases. For example, if F increases from 3 to 4, then the value of E decreases by a factor of 8.

This inverse proportionality between E and F3 is due to the fact that, as F increases, the cube of F increases at a faster rate. In other words, when F doubles, the cube of F increases by a factor of 8. This causes the value of E to decrease by the same factor of 8.

The formula is useful in many applications, such as in physics and engineering. For example, in physics, the formula can be used to calculate the force of an object in a gravitational field. The force is inversely proportional to the cube of the distance between the object and the center of gravity, where the constant k is equal to the gravitational constant. In engineering, the formula can be used to calculate the power of a motor, where the power is inversely proportional to the cube of the speed of the motor.

Overall, the formula E = k/F3 expresses the inverse proportionality between E and F3, and is used in various applications to calculate the value of E given the value of F.

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Answer: A good way to get a small standard error is to use a large sample.

Step-by-step explanation:

In order to find the small standard error, there is always need of a complete set which is called the large sample.

If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.

Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!

-From a 5th Grade Honors Student

Using the method of Bernoulli equations, we can solve the differential equation dy/dx + y/x = 2y^2, where x is the variable.

Differential equation, we can apply the method of Bernoulli equations. The Bernoulli equation has the form dy/dx + P(x)y = Q(x)y^n, where n is a constant. In this case, our equation dy/dx + y/x = 2y^2 can be transformed into the Bernoulli form by dividing through by y^2. This gives us dy/dx * y^-2 + (1/x)y^-1 = 2. Now, we can substitute z = y^-1, which leads to dz/dx = -y^-2 * dy/dx. Substituting these values into the equation, we get dz/dx - (1/x)z = -2. This is a linear first-order differential equation that we can solve using standard methods like integrating factors. Solving the equation and substituting z back into y^-1 will give us the solution for y in terms of x.

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The area of the square is changing at 12√2 + 2√2t square inches/minute when the circle is increasing at 1 in/min.

Let us find the relationship between r and s using the Pythagorean theorem. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square.

2r = s√2
Squaring both sides, we get:
4r² = 2s²or s² = 2r²
Dividing by 2 on both sides, we get:
s²/2 = r²
Differentiating both sides with respect to t, we get:
ds²/dt = 2r (dr/dt)
Dividing both sides by 2s, we get:
ds/dt = r (dr/dt) / s

Substituting r² = s²/2,

\(ds/dt = r (dr/dt) / √2s2s ds/dt = r (dr/dt)s ds/dt = (r/2) (dr/dt)2s ds/dt = r (dr/dt) or dA/dt = 2s ds/dt = 2r (dr/dt)\)

Now, substituting r² = s²/2,

dA/dt = 2s ds/dt = 2(√2 s) (dr/dt) = 2(√2) r (dr/dt)

Now, substituting dr/dt = 1 in/min and r = 6 in (since the circle is increasing at 1 in/min, the radius after t minutes is 6 + t),

dA/dt = 2(√2) (6 + t) (1) = 12√2 + 2√2t square inches/minute

Therefore, the area of the square is changing at a rate of 12√2 + 2√2t square inches/minute.

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Answer:

DEFINITION of Value Change

Value change is an adjustment made to a stock's price to reflect the number of outstanding stock shares issued and currently held by investors. A value change allows the group of stocks to be equally weighted and, therefore, more easily evaluated. Since the number of shares held by investors changes daily, this number can be updated daily to reflect the changes.

I am just giving you a definition but i dont know if this is going to help you

Step-by-step explanation:

Answer:

We have a quotient between a 2 digit number and a 4 digit number.

The usual rule for this type of problems is:

If the denominator has n more digits than the numerator, then the first digit will be in the nth position at the right of the decimal point.

If also, the denominator is larger than the numerator times 10^n, then the decimal will be moved another place to the right.

For example, if we divide 10 by 100 we have:

10/100

The denominator has one more digit than the numerator, then n = 1.

this means that the first digit of the quotient, will be on the first place at the left of the decimal point.

We can solve the quotient to get:

10/100 = 0.1

And, as we predicted, the first decimal is in the first place.

Now, with our quotient we have:

32/8032

n = 2.

and:

32*10^n = 3200

The denominator is larger than this, then we will move the first decimal to another place to the right.

Then we should expect to have the first decimal in the third place after the decimal point.

We can solve the quotient to get:

32/8032 = 0.0039

As we expected.

Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.

To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.

Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.

Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.

Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.

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Answer:

132

Step-by-step explanation:

132

Hey there! :)

Answer:

86° F.

Step-by-step explanation:

Use the formula C = 5/9(F - 32) to convert 30C to Fahrenheit. Plug 30 into C:

30 = 5/9(F - 32)

Multiply both sides by 9/5 (dividing by 5/9):

30 · 9/5 = 5/9(F - 32) · 9/5

54 = F - 32

Add 32 to both sides:

54 + 32 = F - 32 + 32

F = 86°.

Therefore, 30C = 86° F.

Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

Answer:

trinomial

Step-by-step explanation:

Given polynomial has three terms, therefore it is a trinomial.

The probability of selecting a spade and then selecting a heart is 0.0625, and the correct answer is option A.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

Given that the cards are selected with replacement.

The probability of selecting a spade card is:

P(S) =13/52

Now, a heart card is selected.

Since, the previous card is replaced in the deck the total number of cards is 52.

The probability of selecting a heart card is:

P(H) = 13/ 52

The probability of selecting a spade and then selecting a heart is:

P = 13 / 52 × 13/52

P = 0.0625

Hence, the probability of selecting a spade and then selecting a heart is 0.0625, and the correct answer is option A.

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Step-by-step explanation:

100Km/hours......V/T

Answer:

-7.5

Step-by-step explanation:

-140-18+8=20y

-150=20y

y=-7.5

\( - 140 = 18 + 4(5y - 2) \\ = > - 140 = 18 + 20y - 8 \\ = > - 140 - 18 + 8 = 20y \\ = > - 150 = 20y \\ = > y = \frac{ - 150}{20} \\ = > y = - 7.5\)

y = -7.5

The volume of filled water in half of a right circular cylinder glass is 113.04 cm³.

A right cylinder is a cylinder with two congruent parallel circular bases, and each line segment that is part of a side or curved surface is perpendicular to the bases. The volume of a right cylinder is the number of unit cubes that fit inside it. The unit of volume is "cube". Expressed in m³, cm³, km³, etc., depending on the unit specified. Let's see how to find the formula for the volume of a right cylinder.

V = base area × height = πr²× h = πr²h

where, π is special constant, π = 3.14 or 22/7

We have, a glass in form of right circular cylinder

Base radius of cylinder, R = 3 cm

Height of cylinder, h = 8 cm

cylinder is half of full water i.e volume of water is half of volume of right circular cylinder.

Let us assume "V" be volume of right circular cylinder. We have to calculate the volume of water. For this, V = π R²h/2

=> V = π(3)²×(8)/2

=> V = 72π/2 = 36× 3.14

=> V = 113.04 cm³

Hence, required volume is 113.04 cm³.

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Answer:

47/5 or 9 2/5

Step-by-step explanation:

12/1-13/5

60-13/5

=47/5

See attachment for math work and answer.

Answer:

The answer is given below

Step-by-step explanation:

Q1: How are rational exponents and radicals related?

Rational exponents are exponents in fraction form. Radicals are roots (square root, cube root and so on).

The denominator of the rational exponent is the root which is the same as the radical.

Q2: How can the average rate of change be identified for a function?

The average rate of change is ratio of the change in output to the change in input values. The average rate of change for a function is the slope of the function.

It can be gotten by finding the first derivative of he function.

Q3: How do linear and exponential functions compare as the domain increases?

For linear functions as x increases, y also increases by the same amount (i.e rate of change is constant). For exponential function the rate of change increases by a factor known as the multiplier.

The space between two lines or surfaces that intersect at a given point is called a(n) DETAIL or ANS.

The space between two lines or surfaces that intersect at a given point is called an "angle."

Identify the two lines or surfaces that intersect at a given point.
Locate the point where the two lines or surfaces meet, known as the vertex.
The space created between the two lines or surfaces at the vertex is called an angle.

     The space between two lines or surfaces that intersect at a given point is called a(n) DETAIL or ANS.

The space between two lines or surfaces that intersect at a given point is called an "angle."

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30 dollars each member

Step-by-step explanation:

1,300 minus the 550 that they already raised, divided by 25 (for the number of team members = 30 dollars each member .

The probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

It is a branch of mathematics that deals with the occurrence of a random event.

a. The probability that a single battery-powered alarm clock works successfully is 1 minus the probability that it fails.

1 - 0.005 = 0.995 or 99.5%.

b. The probability that both the battery-powered alarm clock and the smartphone alarm clock fail is the product of their individual probabilities of failure.

0.005 x 0.052 = 0.00026 or 0.026%.

The probability that both of them do not fail is the complement of the probability that they both fail

1 - 0.00026 = 0.99974 or 99.974%.

Hence, the probability that your single battery-powered alarm clock works successfully when you need it is 99.5% and probability that both the battery-powered alarm clock and the smartphone alarm clock fail is 0.026%

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Answer:

Ben knows that a line passes through the point (-3, 8) and has a slope of -3/4, but he needs to find the equation of the line. Therefore, he should substitute 8 for_______

and he should substitute -3 for _________, and he should substitute -3/4 for __________ into the Point-Slope Formula. He will need to __________ and simplify before solving for y = mx + b form.

Step-by-step explanation:

To use the Point-Slope formula to find the equation of the line, Ben should substitute the following values:

Substitute 8 for y, since the point (-3, 8) has a y-coordinate of 8.

Substitute -3 for x, since the point (-3, 8) has an x-coordinate of -3.

Substitute -3/4 for m, since the line has a slope of -3/4.

The Point-Slope formula is:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 8 = (-3/4)(x - (-3))

Simplifying the right-hand side, we get:

y - 8 = (-3/4)(x + 3)

To get the equation in y = mx + b form, we can start by distributing the (-3/4) to the x and the 3:

y - 8 = (-3/4)x - 9/4

Adding 8 to both sides, we get:

y = (-3/4)x + 23/4

So the equation of the line is y = (-3/4)x + 23/4.

Answer:

b

Step-by-step explanation:

b=90-a(the other angle)

ex. b=90-51, because it is a right angle.

5) 3x+7+56=90

6)3x+6+48=90