A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.

1.9998

0.9999

0.0001

0.0002

*the diagram of the Russian stringed instrument is attached below.

Answer/Step-by-step explanation:

To show that the traingular parts of the two balalaikas instruments are congruent, substitute x = 6, to find the missing measurements that is given in both ∆s.

Parts of the first ∆:

WY = (2x - 2) in = 2(6) - 2 = 12 - 2 = 10 in

m<Y = 9x = 9(6) = 54°.

XY = 12 in

Parts of the second ∆:

m<F = 72°

HG = (x + 6) in = 6 + 6 = 12 in

HF = 10 in

m<G = 54°

m<H = 180 - (72° + 54°)

m<H = 180 - 126

m<H = 54°

From the information we have, let's match the parts that are congruent to each other in both ∆s:

WY ≅ FH (both are 10 in)

XY ≅ GH (both are 12 in)

<Y ≅ <G (both are 54°)

Thus, since two sides (WY and XY) and an included angle (<Y) of ∆WXY is congruent to two corresponding sides (FH and GH) and an included angle (<G) in ∆FGH, therefore, ∆WXY ≅ ∆FGH by the Side-Angle-Side (SAS) Congruence Theorem.

This is enough proof to show that the triangular parts of the two balalaikas are congruent for x = 6.

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 35,325 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

\(V=\frac{4}{3} \pi r^3\), where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \(\frac{15}{2}=7.5\) cm.

\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times(7.5 \ \text{cm})^3\)

\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times421.875\ \text{cm}^3\)

\(\text{Volume of one candle}=1766.25\ \text{cm}^3\)

Now we will divide 35,325 cubic cm of wax by volume of one candle.

\(\text{Number of candles}=\frac{35,325 \ \text{cm}^3}{1766.25 \ \text{cm}^3}\)

\(\text{Number of candles}=\frac{35,325 }{1766.25 }\)

\(\text{Number of candles}=20\)

Therefore, 20 candles can be made from 35,325 cubic cm of wax.

The given statement "The chi-square distribution is used to perform tests for the population variance but not the standard." is generally true, but it depends on the degree of non-normality of the data and the sample size.

The chi-square test for variance is a hypothesis test that compares the variance of a sample to a known or hypothesized value. The test statistic is calculated as follows:

χ² = (n - 1)s² / σ²

Where χ² is the test statistic, n is the sample size, s² is the sample variance, and σ² is the hypothesized population variance. The test compares the value of χ² to a chi-square distribution with (n - 1) degrees of freedom.

However, if the sample size is large enough, the central limit theorem states that the sample mean will be normally distributed, regardless of the underlying distribution of the data.

The minimum sample size required for the chi-square test to be valid depends on the degree of non-normality of the data.

As a general rule, a sample size of at least 20 is recommended for the chi-square test to be valid for non-normal data.

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Complete Question:

True or false; The chi-square distribution is used to perform tests for the population variance but not the standard.

Answer:

1.13 cm

Step-by-step explanation:

V=1/3 * pi*r^2*h

h=12 cm (assuming, since that's what you gave)

V=16

r=1.13 cm

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

The option that describes the graph of the inequality is:

"number line with open circle on point negative 5 and arrow shaded to the left"

Here we have the following inequality:

2.5 < -0.5*x

First, need to isolate the variable which is x, to do that we divide both sides by -0.5

Remember that because we divide by a negative number, we need to change the direction of the inequality.

2.5/-0.5 > -0.5*x/-0.5

-5 > x

The graph of this inequality will be a number line with an open circle at x = -5, and a line that extends to the left of it, because x is smaller than -5.

Thus the correct option is:

"number line with open circle on point negative 5 and arrow shaded to the left"

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Answer: B.

Step-by-step explanation: It's B, -5 with the arrow pointing to the left.

Answer:

B

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

6 fruits=$3

1 fruit=$0.50

9 fruits=$0.50(9)

9 fruits=$45

Hope this helped! :)

\( \large \purple {\sf { {16x}^{2} + 8x + 1}} \)

\( \large \pink {\sf { = {(4x)}^{2} + 2(4x)(1) + {(1)}^{2}}} \)

\( \large \orange {\sf { = {(4x + 1)}^{2} }}\)

\( \large \green {\sf {{16x}^{2} + 8x + 1 = {(4x + 1)}^{2}}} \)

Answer:

16383

Step-by-step explanation:

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Answer:  3/5 inches

Step-by-step explanation:

l= 5w+7

A = wl

w(5w+7) = 6

5w²+7w = 6

5w²+7w -6 = 0

5w²+10w-3w-6=0

5w(w+2)-3(w+2)=0

(5w-3)(w+2)=0

5w-3=0            w+2=0

   5w=3                w=-2in

     w=3/5in

width cannot be negative, so the width is 3/5 inches.

A rocket is launched from the ground at an angle of 1.02 radians and has traveled 435 yards. The task is to determine the horizontal distance traveled by the rocket and its height above the ground.

The diagram of the situation can be drawn using the given information. The angle of launch can be labeled as 1.02 radians, and the horizontal distance traveled can be labeled as 435 yards. We need to determine the horizontal and vertical components of the rocket's displacement.

The horizontal displacement is the distance traveled by the rocket parallel to the ground, and it can be determined using the formula:

Horizontal displacement = Distance traveled x cos(angle of launch)

Substituting the given values, we get:

Horizontal displacement = 435 x\(cos(1.02)\) = 435 x 0.454 = 197.49 yards (rounded to two decimal places)

The vertical displacement is the change in the height of the rocket from the ground. It can be determined using the formula:

Vertical displacement = Distance traveled x sin(angle of launch)

Substituting the given values, we get:

Vertical displacement = 435 x sin(1.02) = 435 x 0.891 = 388.19 yards (rounded to two decimal places)

Therefore, the rocket has traveled 197.49 yards horizontally from where it was launched, and its height above the ground is 388.19 yards.

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None of the provided statements correctly compare the two functions based on the given information.

Function g:

The x-intercept of function g is not given in the table.

The y-intercept of function g is 24.

The end behavior of function g as x approaches negative infinity is not provided.

Function f:

The x-intercept of function f is -1.

The y-intercept of function f is 245.

The end behavior of function f as x approaches infinity is not provided.

Comparing the statements provided in the answer choices:

A. They have the same y-intercept and the same end behavior as x approaches...

We cannot determine the end behavior of either function based on the given information, so we cannot conclude that they have the same end behavior. Additionally, the y-intercepts are different (24 for g and 245 for f), so this statement is incorrect.

B. They have the same x-intercept and the same end behavior as x approaches ∞.

We know that the x-intercept of function f is -1, but we do not have information about the x-intercept of function g. Therefore, we cannot conclude that they have the same x-intercept. Also, the end behavior is not provided for either function, so this statement is incorrect.

C. They have the same x- and y-intercepts.

Based on the information given, we can see that the x-intercepts of function g and function f are different (-1 for f, unknown for g), and the y-intercepts are also different (24 for g and 245 for f). Therefore, this statement is incorrect.

D. They have different x- and y-intercepts but the same end behavior as x approaches...

Since the end behavior is not provided for either function, we cannot determine if they have the same end behavior. The x- and y-intercepts are indeed different, as mentioned earlier. Therefore, this statement is also incorrect.

In summary, none of the provided statements correctly compare the two functions based on the given information.

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Without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

To calculate the fourth power of eleven using the expy function without redefining the global objects x or y, changing the definition of the expy function, or creating any new objects, you can follow these steps:

1. First, we need to understand the expy function. The expy function calculates the exponential value of the variable y. In this case, y represents the power to which we want to raise a number.

2. To calculate the fourth power of eleven, we can use the expy function with y set to 4 and the number 11 as the input. This can be done by calling the expy function with the value of 11 as the argument, like this: expy(11).

3. The expy function will then raise the input number (11) to the power of the variable y (4). In other words, it will calculate 11^4.

4. The result of the calculation will be the fourth power of eleven, which is 14641.

So, without redefining any global objects, changing the definition of the exp y function, or creating new objects, you can calculate the fourth power of eleven using the exp y function by calling exp y(11), which will give you the result of 14641.

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Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:

Category A: 50 defects

Category B: 30 defects

Category C: 20 defects

Category D: 15 defects

Category E: 10 defects

To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.

c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:

Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.

Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.

The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.

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Answer: 7638373

Step-by-step explanation:

Answer:

X=12 Y=60 degrees

Step-by-step explanation: It is a paralelegram so c and A must have equal angle measures and so do 15 and x+3 and 15-3=12 so there is your answer

According to given information, the width of the rectangle is x - 1.

What is rectangle?

A rectangle is a two-dimensional shape with four straight sides and four right angles. It is a quadrilateral, meaning it has four sides, and it is also a parallelogram, meaning that opposite sides are parallel and have the same length.

We can start by factoring the area and the length of the rectangle:

Area\(= x^4 + 4x^3 + 3x^2 - 4x - 4 = (x^2 + 2x + 1)(x^2 + 2x - 4)\)

Length\(= x^3 + 5x^2 + 8x + 4 = (x + 1)(x^2 + 4x + 4)\)

Since area = length x width, we can equate the factored expressions for area and length to get:

\((x^2 + 2x + 1)(x^2 + 2x - 4) = (x + 1)(x^2 + 4x + 4)\) x width

Canceling the common factor of (x+1) on both sides, we get:

\((x^2 + 2x + 1)(x^2 + 2x - 4) = (x^2 + 4x + 4)\) x width

Expanding the left side and simplifying, we get:

\(x^4 + 4x^3 - 7x^2 - 12x - 4 = x^2 + 4x + 4\) x width

\(x^4 + 4x^3 - 8x^2 - 16x - 8 = 0\) x width

Dividing both sides by \(x^2 + 4x + 4\), we get:

\(x^2 + 4x + 4 = 0\) x width

Solving for x using the quadratic formula, we get:

x = (-4 ± \(\sqrt{(4^2 - 4(1)(4))) / (2(1)\))

x = (-4 ± 4) / 2

x = -4/2 or x = -2

Since the width of the rectangle cannot be negative, we choose the positive value:

x = -2 is extraneous

x = -1

Therefore, the width of the rectangle is x - 1.

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AMSWER

F=m×a

this implies that

a=F/m

a=49/5

a=9.8 m/s^2

(i)F=(m×9.8)N

(ii)F=14×9.8=137.2

(iii)m=F/a

m=215.6/9.8

m=22kg

Answer:

Multiply 6 by −3.

−18

Step-by-step explanation:

Hope it is helpful.....

Answer:

-18

Step-by-step explanation:

make sure you know your tables of 6 it might help you.

The polygon has 10 sides.

Each side of the polygon has a measure of 8 cm.

Therefore, the required perimeter is given by:

Therefore, the required perimeter is 80 cm

Answer:

49.12?

Step-by-step explanation:

half circle= 4 squared *3.14/2=25.12

triangle=pythagorean theorem to find h=8. 8*6/2= 24

25.12+24=49.12

Answer:

27 degrees      

Step-by-step explanation:

12: 180 = 3x - 17 + x + 40 + 2x - 5

180 = 6x + 18

180 - 18 = 6x

162 = 6x

x = 27 degrees

Answer:

Remember the Triangle Angle Sum theory which states that all angles of a triangle add up to 180˚. With this, make the following equation:

(3x-17) + (x + 40) + (2x - 5) = 180

Get rid of parenthesis

3x - 17 + x + 40 + 2x - 5 = 180

Group like terms:

3x + 2x + x + 40 - 17 - 5 = 180

Simplify

6x + 18 = 180

Subtract 18 from both sides.

6x + 18 - 18= 180 -18

6x= 162

Divide both sides by 6

6x/6= 162/6

x= 27

I'm not sure if it's correct...........

Answer:

Age of Nicole x= 24 years

Age of Donald = y = 48 years

Step-by-step explanation:

Suppose x represents Age of Nicole in years and y represents age of Donald in years

Sum of their ages is 72, therefore

\(x+y=72\) -------------- (1)

Nicole is half as old as Donald

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

Substitute x=y/2 in equation (1)

\(\frac{y}{2} +y = 72 \\3y = 2(72) \\y = \frac{144}{3} \\y= 48 \ years\)

Now put y=48 in equation (2)

\(x =\frac{48}{2} \\x=24\)

The original length is 250 meters and the scale drawing width is 0.67 cm

From the question (see attachment), we have the following parameters that can be used in our computation:

Scale length = 0.5 meters

So, we have

Original length = 0.5/(1/500)

Evaluate

Original length = 250

This means that the original length is 250 meters

Here, we have

Scale drawing width = 335 * 1/500

Scale drawing width = 0.67 cm

Hence, the scale drawing width is 0.67 cm

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Answer:−7x^4y^4z^2

Step-by-step explanation: