There's a case where a sampling distribution qualifies as a binomial setting. Describe this case, using the criteria for a binomial distribution.

Answer: 260 meters

Step-by-step explanation: 20 meters per second x 13 seconds = 260 meters

If one side and two angles of a triangle are known, the triangle can be solved Law of Sines.

If A, B, and C are the measurements of the angles of a triangle, and a, b and c are the lengths of the sides opposite of the corresponding angles, then the ratio of side length to the sine of the opposite angle must all be the same.

                                      a/SinA = b/SinB = c/SinC

So, let's say that the value of 'a' is given and the value of angles A and B are also given. By using the law of sine, we can determine the value of 'b' as follows:

                                      a/SinA = b/SinB

                                      b = (a/SinA) SinB

Hence, if one side and two angles of a triangle are known, the triangle can be solved Law of Sines.

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Answer:

£114

Step-by-step explanation:

total price of the tv = cost + tax

tax = o.2 x 1200 = 240

total price = 1200 + 240 = 1440

monthly payment = 1/10 x (1440 - 300) = 114

Answer:

I've done this b4

(0, 1), (2, 7), (3, 4), (-4, 1) , (-6, 7)

Answer:

option 6b):) is correct

Answer:

Part A:

B. rhombus

Part B:

C. Opposite sides are parallel and congruent

The length of line segment RT is 8 units

The given triangles are similar triangles

So, we have the following similarity ratio

RS : RT = QC : QY

Substitute the known values in the above equation

4 : RT = 3 : 6

Express as fractions

RT/4 = 6/3

Multiply through by 4

RT = 4 * 6/3

Evaluate

RT = 8

Hence, the length of RT is 8 units

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Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

Answer:

Y-intercept is at 1 and slope of the graph is 2

Step-by-step explanation:

When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.

To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern

We will need 14 lb of raisins for a mixture worth of $2.75/lb

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

Lets call (x) = number of pounds of raisins we have:

$3.00(x)+$2.40(10) = $2.75(10+x)

3x + 24 = 27.5 + 2.75x

3x - 2.75x = 27.5 - 24

Clearing the variable we have:

0.25x = 3.5

x = 3.5/0.25

x = 14

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The first three nonzero terms of the Taylor series (centered at c=5π) for the function f(x) = 6 tan x are f(x) = 6(x-5π) + 6(x-5π)²+4/5(x-5π)⁵.

The Taylor series is a representation of a function as an infinite sum of terms that are derived from the function's derivatives at a particular point, called the center. The general form of the Taylor series for a function f(x) centered at a is:

f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)²/2! + f'''(a)(x-a)³/3! + ...

To find the first three nonzero terms of the Taylor series for f(x) = 6 tan x centered at c=5π, we need to evaluate the function and its derivatives at this point.

The first derivative of f(x) is:

f'(x) = 6 sec²x

The second derivative of f(x) is:

f''(x) = 12 sec²x tan x

The third derivative of f(x) is:

f'''(x) = 12 sec²x (tan²x + 2)

Evaluating these derivatives at x=5π, we get:

f(5π) = 0

f'(5π) = 6

f''(5π) = 0

f'''(5π) = 504

Plugging these values into the general form of the Taylor series, we get:

f(x) = 0 + 6(x-5π) + 0(x-5π)²/2! + 504(x-5π)³/3! + ...

Simplifying, we get:

f(x) = 6(x-5π) + 6(x-5π)²+4/5(x-5π)⁵ + ...

So, the first three nonzero terms of the Taylor series are 6(x-5π), 6(x-5π)², and 4/5(x-5π)⁵.

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Answer:

6 degrees  F

Step-by-step explanation:

It's asking for the temperature change which it went down to 0 degrees F then went back up to 6 which only means it changed by 6 degrees F.

Answer:

75

Step-by-step explanation:

175= 25+2a

The number of laps that Swimmer A swam was 50 laps.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we suppose that:

Then, according to the given data, we have:

x + y = 175 laps

y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).

Thus, we get a system of two equations as:

\(x + y = 175\\y = 25 + 2x\\\)

From second equation, putting value of y in first equation, we get:

\(x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps\)

As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.

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Answer:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Step-by-step explanation:

Example: Multiply 0.25 by 0.2

0.25 × 0.2. multiply without decimal points:

25 × 2 = 50. 0.25 has 2 decimal places,

'One inch represents 2,000 feet' is a verbal type scale.

The link between a length unit on a map and its corresponding length on the ground is known as the map scale. It will be beneficial for you to carefully study this section because we will use map scale principles throughout the course.

We can use three distinct scales to relate a map to the ground:

'One inch represents 2,000 feet' is an example of a Verbal scale. The relationship between a map distance and a ground distance is expressed verbally using a verbal scale.

Here, it is inferred that one inch on the map corresponds to 2000 feet on the ground. Popular atlases and maps frequently use verbal scales.

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The mean, s^2 of the following X distribution (2,3,2,3,4,2,3) is 2.71 (approximately up to two decimal places) using the formula of mean for ungrouped data.

Hence option d is the correct answer.

The distribution of X is given as (2,3,2,3,4,2,3).

It is in ungrouped data form.

To calculate the mean of ungrouped data we use the formula as,

Mean = (Summation of all the values in the data set) / (Number of observations in the data set)

Here, say Mean = s^2 up to two decimal places for X distribution is (using the formula for calculating mean of ungrouped data),

Mean, s^2 = (2+ 3 +2 +3 +4 +2 +3 )/7

= 19/7 = 2.71 (approximately)

Hence option b is the correct answer.

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Answer:

t = 2.5 years

Step-by-step explanation:

Given that,

Principal = $5000

Interest = $250

Rate of interest = 2%

We need to find the time. We know that,

\(I=\dfrac{PRT}{100}\)

Put all values to find T.

\(T=\dfrac{100I}{PR}\\\\T=\dfrac{100\times 250}{5000\times 2}\\\\T=2.5\ yrs\)

So, it will take 2.5 years.

The relationship between a dependent and an independent variable expressed as a logarithmic equation is as follows X = Y/2

At times, the relationship between a dependent and an independent variable is expressed as a logarithmic equation. For this question, given a positive constant € and the two equations below, we can find the relationship between X and Y. Equation 1: Log(c) = X/2 Equation 2: Log(c^2) = Y.We can use the basic properties of logarithms to solve this problem. To do so, we need to understand what logarithms are first.Logarithms are the opposite of exponentials. They allow us to find the exponent needed to produce a given value. For instance, log base 2 of 8 is 3 since 2^3 = 8.

A logarithm is represented as log_bx where b is the base and x is the argument or the number being passed to the logarithm.In equation 1, we are given that log(c) = x/2. To isolate x, we need to exponentiate both sides with base e.e^(log(c)) = e^(x/2)This gives us c = e^(x/2).We can rewrite this expression as c^2 = e^x. Now we use equation 2 which states that log(c^2) = y. This is equivalent to 2log(c) = y.Using equation 1, we can substitute log(c) for x/2.2log(c) = y2(x/2) = yx = y/2So the relationship between X and Y is X = Y/2. Therefore, we can conclude that the relationship between a dependent and an independent variable expressed as a logarithmic equation is as follows: X = Y/2.

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Answer:

13. acute

14. right

15.  36

16. x = 14

Step-by-step explanation:

Answer:

Part A: The third angle is 20°

Part B: The height of the building is 137.3738m (round to whatever is wanted)

Based on the fact that the cost of the meatball pizza was divided evenly, the equation to find the cost c of the pizza is, c = 2.75 x 6.

When the equation is solved, the value of c is $16.50

Because the cost of the meatball pizza was divided evenly, the cost of the pizza can be found by the formula:
Cost = Cost per person x Number of people

Using c as cost, the equation becomes:

c = 2.75 x 6

Solving for c than gives:

c = 2.75 x 6

= $16.50

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Answer:

-120

Step-by-step explanation:

A=-3

B= 4

5(-3)*2(4)

5(-3)= -15

2(4) = 8

-15*8 = -120

Answer:

120

Step-by-step explanation:

a = –3 and b = 4

The value of –5a2b is:

–5a2b

–5(-3)2(4)

15*2(4)

15*8

120

Answer:

D. Jacob rode a 45-kilometer race in 3 hours.

Step-by-step explanation:

1h = 15km

A. : 30m = \(\frac{30}{60}\) × 15km

              = 7.5km (not 2km)

B. : 15m = \(\frac{15}{60}\) × 15km

             = 3.75km (not 4km)

C. : 5h = 5 × 15km

             = 75km (not 20km)

D. : 3h = 3 × 15km

             = 45km (Yep, 45km)

Using the segment addition postulate, it is found that:

1. Point B is between the other two.

2. The measures are: RS = 5, RT = 10, PR = 10, PQ = 6.

3. The value of x is of x = 9.5.

4. The value of y is of y = ± 5.

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

In item 1, we have that the largest segment is of AC, hence it represents the line, while point B splits the segment into two parts, that is, point B is between the other two.

In item 2, we have that:

For item 3, applying the Postulate, we have that:

AB + BC + CD = AD

4 + 4 + 2x - 6 = 21

2x = 19

x = 9.5.

For item 4, due to the midpoint, we have that:

LM = MN

Hence:

y² + 4 = 29

y² = 25

y = ± sqrt(25)

y = ± 5.

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la respuesta de tu potencia es 1

The equation resulting from Vineet's substitution in solving the system of equations is not provided, so it is not possible to give a direct answer.

To provide an explanation and calculation, we need the specific equations and the substitution made by Vineet. Without this information, it is not possible to proceed with the calculation or analysis.

Without the equation resulting from Vineet's substitution or the specific system of equations being solved, it is not possible to provide a detailed explanation or calculation. It is important to have the complete information in order to analyze Vineet's work accurately. If you can provide the specific equations and the substitution made, I would be happy to assist you further in explaining Vineet's process and reaching a conclusion.

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to determine wether the system has one solution, an infinite number of solutions or no solution at all we have to solve it.

We have the system:

Substracting the second equation from the first one we have:

Since we can find a value for the variable y we conclude that the system has only one solution.

The value of x can be found from the first equation once we have y:

The solution of the sytem is x=40 and y=11/3.

Answer:

c -3072 as you need to double frm 3 which is the first te and as -6 -12 -24 -48 -96 -192 -384 -768 -1536 and -3072.

The given graph is of the equation y = x - 2

Select x-values and enter them into the equation to graph a function. You will obtain a y-value once those values have been entered into the equation. The coordinates of a single point are made up of the x and y values.

Step 1 is to determine the variables.

Step 2: Establish the range of the variable

Determine the graph's scale in step three.

Step 4 is to give each axis a number, a label, and a title.

5. Select the data points and plot them on the graph.

6. Create the graph.

After understanding the "how" of drawing a graph you will surely understand how to decide which equation's graph it is.

The given graph is of the equation

y = x - 2

because as in the graph

the slope cuts the points x = 4 and y = 2

and when we substitute this value in the above mentioned equation we get

2 = 4 - 2

which satisfies the condition .

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I'm sorry. This does not come with a picture.