How do you become a junior helper?

Answer:

\(\dfrac{1}{6}\)

Step-by-step explanation:

Let A be the event of getting an odd number.

P(A) be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \(\{1,3,5,7,9,11\}\)

Here, total numbers in the game are 12 i.e \(\{1,2,3,....,12\}\).

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

\(P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}\)

Let B be the event of getting 11.

P(B) be the probability of getting 11.

Total number of possible cases is 1.

\(P(B) = \dfrac{1}{12}\)

\(P(A \cap B)\) is the probability that we get 11 and an odd number.

Possible number of cases = 1

\(P(A\cap B) = \dfrac{1}{12}\)

P(B/A) is the probability that we get an 11 given that it is an odd number.

\(P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}\)

Hence, P(B/A) = \(\dfrac{1}{6}\)

Answer:

The probability in fraction is \(\frac{1}{12}\).

Step-by-step explanation:

Total number of outcomes is = 12

Now we have to find the probability that spun number is 11.

That means favorable outcome is 1.

In this case, the probability can be determined by dividing the number of favorable outcomes by the total outcome. Accordingly, the total outcomes are 12 and favorable outcome is 1.  

\(\text{P(The spun number is 11)}= \frac{\text{Favorable outcomes}}{\text{total outcomes}} \\\text{P(The spun number is 11)}= \frac{1}{12} \ (in \ fraction)\\\text{P(The spun number is 11)} = 0.083 \ (in \ decimal)\)

Answer:

1) You were right

2) Also correct

3) Again, correct

4) Wrong, the correct answer is 2m + 5 = 25

5) Correct

Step-by-step explanation:

1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:

3g + 7 = 65

2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?

226 - 3a = 133

3) The sum of three consecutive numbers is 72.

n + ( n + 1 ) + ( n + 2 ) = 73

4) It cost 5 plus 2 per mile.The total spent was 25

2m + 5 = 25

5)

1. Read the entire problem.

2. Identify all the important info.

3. Define the variable

4. Write an equation using the important information and the variable

Answer:

while using a calculator we need it for solving problems and practice and analysis of reference to be able to answer

Step-by-step explanation:

according to which unit are we calculating

Answer:

4

Step-by-step explanation:

volume is equal to a x a x a

This means that \(a^{3}\) = V

Therefore, a = cube root of V, which is 4

Amswer is 84...

12×7=84

Answer:

buh it is 84

Step-by-step explanation:

The given problem involves the angular kinematics of a train's wheels during its acceleration. Angular kinematics is a branch of physics that deals with the motion of objects in circular motion, and it includes concepts such as angular displacement, velocity, and acceleration. In this problem, we are given a specific scenario where a train is being tested for public use, and its wheels have a radius of 0.30 m and an angular acceleration of 0.20 rad/s2. We are asked to find the angular displacement of the wheels in radians per second after they have made 200 revolutions. To do this, we need to first find the total angular displacement of the wheels, which is equal to the product of the number of revolutions and the angle covered by each revolution. By applying the appropriate formula and converting the angle to radians, we can solve for the angular displacement in radians. The concept of angular kinematics is important in many areas of physics and engineering, including the design and analysis of rotating machinery and vehicles.

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The angular displacement after testing is approximately 12.73 radians per second.

To answer your question, we need to first convert the number of revolutions to radians and then use the given angular acceleration to find the angular velocity.

1. Convert revolutions to radians:
200 revolutions * (2π radians/revolution) = 400π radians

2. Use the angular displacement (θ) and angular acceleration (α) to find the angular velocity (ω):
θ = 0.5 * α * t^2
400π = 0.5 * 0.20 * t^2
Solve for t:
t^2 = (400π) / 0.1
t ≈ 63.66 seconds

3. Calculate angular velocity (ω) using angular acceleration (α) and time (t):
ω = α * t
ω = 0.20 rad/s² * 63.66 s
ω ≈ 12.73 rad/s

The angular displacement after testing is approximately 12.73 radians per second.

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-2 is the value of linear equation .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                     Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

= 3a - 4a^2 + 5b

PUT a = -2 and b=4

= 3 * -2 - 4 * (-2)² + 5 * 4

= -6 - 16 + 20

=  - 22 + 20

= - 2

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We happen to have

\(\dfrac17 = \dfrac18 + \dfrac1{8^2} + \dfrac1{8^3} + \cdots\)

which is to say, the base-8 representation of 1/7 is

\(\dfrac17 \equiv 0.111\ldots_8\)

This follows from the well-known result on geometric series,

\(\displaystyle \sum_{n=1}^\infty ar^{n-1} = \frac a{1-r}\)

if \(|r|<1\). With \(a=1\) and \(r=\frac18\), we have

\(\displaystyle \sum_{n=1}^\infty \frac1{8^{n-1}} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac1{1-\frac18} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac87 = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac17 = \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots\)

Uniformly multiplying each term on the right by an appropriate power of 2, we have

\(\dfrac17 = \dfrac2{16} + \dfrac{2^2}{16^2} + \dfrac{2^3}{16^3} + \dfrac{2^4}{16^4} + \dfrac{2^5}{16^5} + \dfrac{2^6}{16^6} + \cdots\)

Now observe that for \(n\ge4\), each numerator on the right side side will contain a factor of 16 that can be eliminated.

\(\dfrac{2^n}{16^n} = \dfrac{2^4\times2^{n-4}}{16^n} = \dfrac{2^{n-4}}{16^{n-1}}\)

That is,

\(\dfrac{2^4}{16^4} = \dfrac1{16^3}\)

\(\dfrac{2^5}{16^5} = \dfrac2{16^4}\)

\(\dfrac{2^6}{16^6} = \dfrac4{16^5}\)

etc. so that

\(\dfrac17 = \dfrac2{16} + \dfrac4{16^2} + \dfrac9{16^3} + \dfrac2{16^4} + \dfrac4{16^5} + \dfrac9{16^6} + \cdots\)

and thus the base-16 representation of 1/7 is

\(\dfrac17 \equiv 0.249249249\ldots_{16}\)

and the first 10 digits after the (hexa)decimal point are {2, 4, 9, 2, 4, 9, 2, 4, 9, 2}.

By comparing the numerical results with the exact result and estimating the errors, we can verify the accuracy of the composite Simpson's rule approximation.

To evaluate the integral numerically using the composite Simpson's rule, we need to divide the interval [0, 1] into subintervals and approximate the integral within each subinterval using Simpson's rule. Let's calculate the integral for n = 4 and n = 8 subintervals.

(a) For n = 4 subintervals:

Step 1: Divide the interval [0, 1] into 4 subintervals: [0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1].

Step 2: Apply Simpson's rule in each subinterval:

I1 = (0.25 - 0) / 6 * (f(0) + 4f(0.125) + f(0.25))

I2 = (0.5 - 0.25) / 6 * (f(0.25) + 4f(0.375) + f(0.5))

I3 = (0.75 - 0.5) / 6 * (f(0.5) + 4f(0.625) + f(0.75))

I4 = (1 - 0.75) / 6 * (f(0.75) + 4f(0.875) + f(1))

Step 3: Sum up the individual subinterval approximations:

I = I1 + I2 + I3 + I4

Calculate the value of I and compare it with the exact result ln(2). Also, estimate the error using the error formula for Simpson's rule.

Repeat the same process for n = 8 subintervals and calculate the integral, compare it with ln(2), and estimate the error.

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Answer:

first of all what th math are you taking second of all c =1/4

Step-by-step explanation:

if 2 is to 2and 2/19 so you put 2 to be over 19 and you get 38/19 is to 40/19 then 40/38 gives a weird number but you multiply that by the initial value to get then second so multiply that by 3.8 and you get 4 so 4c +3 = 4 so subtract 3 you get 4c = 1 so c =1/4

Answer:

lol xd

Step-by-step explanation:

ecks dee

(a) The null and alternative hypothesis using proper notation is

H(0) :p ≤ 0.5

H(1) : p > 0.5

(b) The estimate of the true proportion of all orders that are delivered early is 0.6.

A delivery company samples 500 orders.

Out of 500 records, 300 of them were delivered early.

(a) To determine if the true proportion of orders that were delivered early occurs most of the time or not, i.e., whether the true proportion of orders that were delivered early is more than 0.5, we will perform a one proportion z-test.

Let p stand for the actual ratio. Our theory is stated as follows:

H(0) :p ≤ 0.5

H(1) : p > 0.5

We specifically want to determine whether the true proportion is greater than 0.5, hence this is a right-tailed test.

(b) The sample proportion's estimated value is provided as

P = Number of people who wake up early/Total Number of people

P = 300/500

P = 0.6

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Answer: 10

Step-by-step explanation:

4(x+2)=48

4x+8=48

4x=40

x=10

Answer:

x=10

Step-by-step explanation:

4(x+2)=48

Divide each side by 4

4/4(x+2)=48/4

x+2 = 12

Subtract 2 from each side

x+2-2= 12-2

x = 10

Answer:the graph is not linear

Step-by-step explanation:

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer:

Step-by-step explanation:

Orange taxi:

Cost = 4 + 0.75m

Blue taxi:

Cost = 1.25m

b) If blue taxi has the better deal then cost of blue taxi is less than cost of orange taxi.

1.25m < 4 + 0.75m

1.25m - 0.75m < 4

0.50m < 4

m < 4/0.5

m < 8

c) When we are travelling less than 8 miles , travelling by blue taxi is a better deal. Because, the cost is less than orange taxi when we travel less than 8 miles.

Answer:

199.5

Step-by-step explanation:

3 is not greater than 5

Answer:

199.5

Step-by-step explanation:

The tenth place is the first number to the right of the decimal, in this case, it is 5. In order to know whether or not to raise it to 6 or keep it as 5, we have to look at the hundredth's value. If the number is 5 or higher, we change 5 to 6. If the number is 4 or lower, we keep the 5. In this case, the number is 3, which is 4 or lower. We keep the 5 as it is and get rid off all the numbers behind it. Resulting in:

199.5

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

683.24

Step-by-step explanation:

Im pretty sure PLEASE give BRAINLIEST I NEED IT

All you have to do is 899 times .24 and then get that answer and subtract

Answer:

its $683.24

as we first took out 24%of $899 i.e215.76 then we subtracted it from $899

The value of a is 20, because the graph of the function passes through the point (-1,20).

The absolute value function f(x) = a|x| is a function that takes a number as input and returns its absolute value, which is its distance from zero. The value of a is a scaling factor that determines how much the graph of the function is stretched or compressed.

In this case, we know that the graph of the function passes through the point (-1,20). This means that when we plug in -1 for x, the function returns 20. So, we have f(-1) = 20.

We can solve for a by substituting f(x) = a|x| into this equation. This gives us a|-1| = 20.

Since the absolute value of -1 is 1, we have a*1 = 20.

Therefore, a = 20.

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Answer:

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

Area is the product of two dimensions, so the ratio of areas of similar figures is equal to the square of the scale factor k.

Hence the scale factor is:

Therefore the ratio of corresponding parts is:

If there are 6 circles and 10 triangles, then the simples ratio of circles to total shapes is 3 : 8

Total number of circles = 6 circles

Total number of triangles = 10 triangles

Total number of shapes = Total number of circles + Total number of triangles

Substitute the values in the equation

Total number of shapes = 6 + 10

= 16 shapes

The ratio of circles to total shapes = Total number of circles : Total number of shapes
Substitute the values

= 6 : 16

Simplify the ratio

= 3 : 8

Therefore, the simplified ratio of circles to total shapes is 3 : 8

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Answer:

C

Step-by-step explanation:

10/4=2.5

2.5x38=95

95 minutes= 1 hour 35 minutes

Answer:Kathy uses 1.72 pint of white paint

Step-by-step explanation:

Total amount of paint ( Blue and white paint)= 8.6 pints

Amount of  blue paint=4/5 x 8.6 = 6.88 Pints

amount of white paint = Total amount of paint - amount of blue  paint

= 8.6 pints - 6.88 pints

=1.72 pint of white paint

Answer:274707

Step-by-step explanation:

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

Considering that the angles are opposite by the same vertex, the relationship between angles B and C is given by:

Vertical Angles.

Researching this problem on the internet, it is found that there is a vertex, and angles are diagonal, also called opposite by the same vertex. These angles are also called vertical angles, hence this is what describes the relationship between these angles.

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Answer:

Step-by-step explanation:

Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.

It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.

Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.

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Answer:

C)   4(5c -2d)

Step-by-step explanation:

You would need to find the greatest commen factor in the equation.

it would end up being 4 since it is the biggest number that can divide between 8 and 20.

20/ 4 = 5

8/4 = 2

so you would leave the varibles since you can't take them out and put 4 on the outside of the parantheses.

4(5c -2d)

Answer:

Option C:   4(5c -2d)

Step-by-step explanation:

Have a nice day! :-)

Answer:

  6

Step-by-step explanation:

You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.

An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.

An integer is divisible by 3 if the sum of its digits is divisible by 3

An uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...

  {5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}

Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.

The uphill integers that end in 5 are ...

  5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345

We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...

  15, 45, 135, 345, 1245, 12345

There are 6 uphill integers divisible by 15.

To determine the number of years ago the supernova occurred, we can calculate the time it took for the supernova remnant to expand to its current diameter of 6.20 parsecs (pc) at a rate of 4.50 × 10^3 km/s.

To find the time, we need to convert the diameter from parsecs to kilometers. Since 1 parsec is approximately equal to 3.09 × 10^13 kilometers, the diameter of 6.20 pc is equivalent to 6.20 × 3.09 × 10^13 km.

Next, we divide this distance by the expansion rate of the supernova remnant, which is 4.50 × 10^3 km/s. By dividing the distance by the rate, we obtain the time it took for the remnant to expand to its current size.

Therefore, the calculation is: (6.20 × 3.09 × 10^13 km) / (4.50 × 10^3 km/s).

Simplifying this expression gives us the time in seconds. To convert it to years, we divide the result by the number of seconds in a year (approximately 3.16 × 10^7 seconds). This gives us the final answer, indicating how many years ago the supernova occurred.

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