A sample of 1500 computer chips revealed that 25% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 27% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.10 level.
Answers
Answer:
since p-value (0.0801) is < 0.10, the result is significant
so, we reject Null hypothesis
Step-by-step explanation:
Given the data in the question;
Null Hypothesis H₀ : p = 0.27
Alternative Hypothesis H₁ : p ≠ 0.27
Test statistic
z = (\(p^{ bar}\) - p)/√(\(\frac{p(1-p)}{n}\))
we substitute
z = (0.25 - 0.27)/√(\(\frac{0.27(1-0.27)}{1500}\))
z = -0.02 / √( 0.1971/1500)
z = -0.02 / 0.01146
z = -1.7452 ≈ -1.75
p-value;
for z = -1.75, the two tailed p value is 0.0801
Decision
since p-value (0.0801) is < 0.10, the result is significant
so, we reject Null hypothesis
Related Questions
Please look at the photo! Thank you.
Answers
The output value of (g/f)(x) is 9x/(7x + 28).
The domain of g/f is (-∞, -4) U (-4, ∞)..
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(g/f)(x) = (9/(x + 4)) ÷ 7/x
By rearranging the mathematical expression using the multiplication operation, we have the following:
(g/f)(x) = (9/(x + 4)) × x/7
(g/f)(x) = 9x/(7x + 28)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
7x + 28 ≠ 0
7x ≠ -28
x ≠ -4
Domain = (-∞, -4) U (-4, ∞).
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Can someone answer this
Answers
The order of the graphs from largest to lowest correlation coefficients is:
Graph D, Graph A, graph C, graph B.
Which graph has the largest correlation coefficient?The correlation coefficient between two variables is a coefficient that tells us "how much" these variables relate.
So, in the case for linear correlation, as "more linear" the data appears to be, a large correlation is between the two variables.
With that in mind, we conclude that the order of the graphs (going for larger correlation coefficient to smaller correlation coefficient) is:
Graph D, Graph A, graph C, graph B.
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work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units
Answers
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:
C = π(14 cm)
Multiplying, we get:
C = 14π cm
So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.
Solve the equation by completing the square. x2 + 20x + 82 = 7
Answers
Answer:
{-15, -5}
Step-by-step explanation:
The constant on the left needs to be the square of half the x-coefficient:
(20/2)^2 = 100
To get it to that value, we can add 18 to both sides of the equation:
x^2 +20x +100 = 25 . . . add 18 to both sides of the equation
(x +10)^2 = 25 . . . . . . . . write the left side as a square
x +10 = ±√25 = ±5 . . . . . take the square root
x = -10 ±5 = {-15, -5}
The solutions are x = -15 and x = -5.
_____
The attached graph shows the solutions to ...
x^2 +20x +82 -7 = 0 . . . . . the result of subtracting 7 from both sides
Answer:
sqdancefan
Genius
40.3K answers
503.3M people helped
Answer:
{-15, -5}
Step-by-step explanation:
The constant on the left needs to be the square of half the x-coefficient:
(20/2)^2 = 100
To get it to that value, we can add 18 to both sides of the equation:
x^2 +20x +100 = 25 . . . add 18 to both sides of the equation
Step-by-step explanation:
Here is some information about Stokenchurch Inc.: Beta of common stock = 1.2 Treasury bill rate = 4% Market risk premium = 6.5% Yield to maturity on long-term debt = 7% Book value of equity = $340 million Market value of equity = $680 million Long-term debt outstanding = $680 million Corporate tax rate = 21% What is the company’s WACC? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
Answers
When Stokenchurch Inc.: Beta of common stock = 1.2, Treasury bill rate = 4%, Market risk premium = 6.5%, Yield to maturity on long-term debt = 7%, Book value of equity = $340 million, Market value of equity = $680 million, Long-term debt outstanding = $680 million, Corporate tax rate = 21%. The company's weighted average cost of capital (WACC) is 6.74%.
To calculate the company's WACC, we need to consider the weightings of each component of the capital structure (equity and debt) and their respective costs.
Calculate the cost of equity:
The cost of equity can be determined using the capital asset pricing model (CAPM), which considers the risk-free rate, the market risk premium, and the beta of the stock.
Given:
Beta of common stock = 1.2
Treasury bill rate = 4%
Market risk premium = 6.5%
Using the CAPM formula:
Cost of equity = Risk-free rate + Beta × Market risk premium
Cost of equity = 4% + 1.2 × 6.5%
Cost of equity = 4% + 7.8%
Cost of equity = 11.8%
Calculate the cost of debt:
The cost of debt is the yield to maturity on long-term debt. Given that the yield to maturity on long-term debt is 7%, the cost of debt is 7%.
Calculate the weights of equity and debt:
To calculate the weights, we need the book value of equity, market value of equity, and long-term debt outstanding.
Given:
Book value of equity = $340 million
Market value of equity = $680 million
Long-term debt outstanding = $680 million
Weight of equity = Market value of equity / (Market value of equity + Long-term debt outstanding)
Weight of equity = $680 million / ($680 million + $680 million)
Weight of equity = $680 million / $1,360 million
Weight of equity = 0.5
Weight of debt = Long-term debt outstanding / (Market value of equity + Long-term debt outstanding)
Weight of debt = $680 million / ($680 million + $680 million)
Weight of debt = $680 million / $1,360 million
Weight of debt = 0.5
Calculate the WACC:
WACC = (Weight of equity × Cost of equity) + (Weight of debt × Cost of debt)
WACC = (0.5 × 11.8%) + (0.5 × 7%)
WACC = 5.9% + 3.5%
WACC = 9.4%
Thus, the company's WACC is 6.74% (rounded to two decimal places).
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A club’s first meeting was attended by 28 people. Four times as many people went to the first meeting than the second meeting. How many people attended the second meeting?
Answers
Answer:
112people attended the 2nd meeting
Step-by-step explanation:
28 times 4=112
Hope this helps because the first response seems inaccurate if you read closely. Have a good day. I hope I have helped you.
Suppose the manager of your local McDonalds tracks the
monthly sales of their new McBurger, Mini McBurger, and
Choco-Latte Shake. The data is listed below.
For January through December, the sales are as follows.
McBurger: 46, 63, 58, 77, 81, 102, 183, 197, 125, 111, 83, 218.
Mini McBurger: 23, 41, 35, 44, 62, 88, 95, 99, 108, 111, 98, 63.
Choco-Latte Shake: 88, 46, 39, 52, 67, 99, 189, 238, 188, 97,
51, 12
Create a matrix to display the data.
Answers
Answer:
Step-by-step explanation:
The question says "Create a matrix to display the data".
The are 3 products:
- McBurger - Mini McBurger - ChocoLatte Shake
The figures represent monthly sales for each product, in a given year. This means 12 figures for each product - represent the 12 months of the year.
These figures will appear on the matrix, with the horizontal arrangement representing each month of the year and the vertical arrangement representing each product's sales.
In that light, you'll have a 12 by 3 matrix.
\(\left[\begin{array}{ccc}46&23&88\\63&41&46\\58&35&39\\77&44&52\\81&62&67\\102&88&99\\183&95&189\\197&99&238\\125&108&188\\111&111&97\\83&98&51\\218&63&12\end{array}\right] 12 by 3 matrix\)The first row represents sales in January, the second row represents sales in February, the third row represents sales in March, the fourth row represents sales in April, etcetera.
The first column represents sale of McBurger, the second column represents sale of Mini McBurger, the third column represents sale of Choco-Latte Shake.
A scooter costs $160. The cost of a pair of roller skates is 20% of the cost of the scooter.How much do the roller skates cost?
Answers
Answer:
32
Step-by-step explanation:
20% of 160 is 32
20% of $160= $32 so that is the answer
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of:
federalism
individual rights
checks and balances
republicanism
Answers
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.
What is federalism?Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.
What is republicanism?Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.
This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.
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Answer:
republicanism
Step-by-step explanation:
2x-y≤-3
graph the inequality
Answers
Therefore , the solution of the given problem of inequality graph comes out to be the graph of the inequality 2x - y ≤ -3 is a line that cuts through the x-y plane
What do you mean by inequality graph?An inequality graph is a graph that represents the solution set of an inequality, showing the values of the independent variable (usually represented on the x-axis) for which the inequality is true.
Here,
An inequality can be represented graphically by shading the region on a coordinate plane that satisfies the inequality. The direction of shading (above or below the line) depends on the inequality symbol.
The graph of the inequality 2x - y ≤ -3 in the x-y plane can be plotted by finding the boundary line for the inequality and shading the region that satisfies the inequality. To do this, we can start by setting the equation 2x - y = -3 and finding the x- and y-coordinates of the points on the line. Then we can plot these points and draw the line that connects them.
Next, we will determine which side of the line represents the solution set. To do this, we can pick a point that is not on the line and substitute its x- and y-coordinates into the inequality. If the inequality is true for the point, we shade the region that contains the point. If the inequality is false, we shade the region that does not contain the point.
So the graph of the inequality 2x - y ≤ -3 is a line that cuts through the x-y plane and is shaded on one side. The shaded region represents all the x- and y-coordinates that satisfy the inequality.
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5.6 x 5.6 x 6.16 x 6.16
Answers
Answer:
5.6 x 5.6 x 6.16 x 6.16=1190
Step-by-step explanation:
5.6 x 5.6 x 6.16 x 6.16=1189.974016
Rounded up will be 1190.
Look at the picture below! WILL GIVE BRAINILEST TO CORRECT ANSWER!!!
Answers
Answer:
3/5
Step-by-step explanation:
If each interior angle of a regular polygon is 168 °, then the number of sides of the polygon is ….
Answers
each interior angle= 168°
to find:the number of sides the polygon has.
solution:180- 360/n= 168
12= 360/n
n= 360/12
n= 30
therefore, the polygon has 30 sides.
the answer to your question is 30 sides
hope this helps
Find the value of x and YZ if Y is between X and Z.
XY = 4x, YZ = x, and XZ
25
Answers
Answer:
The value of x is 5
The length of YZ is 5 units
Step-by-step explanation:
If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment
Let us use this fact to solve the question
∵ Point Y is between points X and Z
→ By using the fact above
∴ XY + YZ = XZ
∵ XY = 4x and XZ = x
∵ XZ = 25
→ Substitute then in the equation above
∴ 4x + x = 25
→ Add the like terms in the left side
∴ 5x = 25
→ Divide both sides by 5 to find x
∵ \(\frac{5x}{5}\) = \(\frac{25}{5}\)
∴ x = 5
∴ The value of x is 5
∵ YZ = x
∵ x = 5
∴ YZ = 5
∴ The length of YZ is 5 units
41 Points!! Multiple choice algebra question. Use the value of the discriminant to determine the number and type of roots for the equation x^2-3x+7=0. Photo attached. Thank you!
Answers
Since the discriminant is negative, the equation has two complex conjugate roots is -19.
How to find complex conjugate roots?To find complex conjugate roots of a polynomial, you can follow these steps:
Identify the complex roots of the polynomial: Use the quadratic formula or any other method to find the roots of the polynomial. If the roots are complex, they will be of the form a + bi, where a and b are real numbers and i is the imaginary unit.
Check for conjugate pairs: If a complex root is of the form a + bi, then its complex conjugate will be a - bi. Check if the polynomial has any other root of the form a - bi. If so, then the two roots are complex conjugates.
For example, suppose you have a polynomial with the equation:
\(x^3 - 4x^2 + 7x - 10 = 0\)
Using a calculator or other methods, you can find that one of the roots of this polynomial is approximately 1.72 + 0.98i. To check if this is part of a complex conjugate pair, you can check if the polynomial has another root of the form a - bi.
One way to do this is to use polynomial long division to divide the original polynomial by the quadratic factor (x - (1.72 + 0.98i)) (x - (1.72 - 0.98i)).
To determine the number and type of roots of the equation x^2 - 3x + 7 = 0, we need to use the discriminant, which is given by the formula b^2 - 4ac.
In this case, a = 1, b = -3, and c = 7. Substituting these values into the formula, we get:
\(b^2 - 4ac = (-3)^2 - 4(1)(7) = 9 - 28 = -19\)
Since the discriminant is negative, the equation has two complex conjugate roots.
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Help with graph, algebra, just need the answer, A, B, C, or D
Answers
The domain and the range of the graph are
Domain = (a) All real valuesRange = (a) All real valuesCalculating the domain and range of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The above graph can be represented as a list of ordered pairs
The rule of a graph is that
The domain is the x valuesThe range is the f(x) valuesFrom the graph, we can see that
There are no holes or discontinuity on the graphThe curve span across the x-axis and the y-axisThis means that the domain and range can take any real value for x and y
Using the above as a guide, we have the following:
Domain = All set of real values
Range = All set of real values
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Mrs alvares rents skis and poles for 3 days what is the total cost of rental
Answers
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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I need help with this question
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Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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given f(x) = √x²+4 and g(x)= 2x+1 . Find the domain of f(x)/g(x)
Answers
gIven:
\(\begin{gathered} \: f\mleft(x\mright)\: =\: \sqrt[]{x^2+4} \\ g\mleft(x\mright)=-\: 2x+1 \end{gathered}\)Find the domain of
\(\frac{f\left(x\right)}{g\left(x\right)}\)to solve,
\(\frac{f\left(x\right)}{g\left(x\right)}=\frac{\sqrt{x^2+4}}{-2x+1}\)The domain of the above function is,
The undefined points are,
\(\begin{gathered} x<\frac{1}{2} \\ \: x>\frac{1}{2} \end{gathered}\)the answer is
In interval notation,
\((-\infty\: ,\: \frac{1}{2})\cup(\frac{1}{2},\: \infty\: )\)apply the Pythagorean theorem to find the distance between two points (to the nearest tenth). which statements are correct
Answers
Answer:
options pls. or any image.......................................
The distance between two points is √29 unit.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, also known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have the points (-2, 3) and (3, 1).
Using Distance formula
= √(1-3)² + (3 - (-2))²
= √ (-2)² + (5)²
= √ 4 + 25
= √29 unit
Thus, the distance between two points is √29 unit.
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Solve the inequality and graph the solution on the line provided.
7 + 5x < 42
Answers
Answer:
x < 7
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
5x+7<42
Step 2: Subtract 7 from both sides.
5x+7−7<42−7
5x<35
Step 3: Divide both sides by 5.
x<7
For the graph, draw an open circle at 7 and an arrow pointing left.
Hope this helps! :D
Step-by-step explanation:
5x<42-7
5x<35
5x/5<35/5
x<7
giving 90 points! NEED IN TWO MINS
Answers
Answer:
300
Step-by-step explanation:
A=wl=10·30=300
multiply the length of the rectangle by the width of the rectangle.
The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
Answer:
Area = 378.5 ft²
Step-by-step explanation:
The figure is having two semi circles and one rectangle.
\({ \sf{area = area \: of \: semicircles + area \: of \: rectangle}} \\ \\ { \sf{area = 2( \frac{1}{2} \pi {r}^{2}) + (l \times w) }} \\ \\ { \sf{area = \pi {r}^{2} + (l \times w) }} \\ \\ { \sf{area = 3.14 \times {5}^{2} + (30 \times 10)}} \\ \\ { \sf{area = 378.5 \: {ft}^{2} }}\)
A chemist is using 332 milliliters of a solution of acid and water. If 17.3 p of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answers
57.4 millilitres
We know that the chemist has 332 milliliters of the solution of acid and water, and 17.3% of that solution is acid.
We can then persume that the amount of acid in the solution is equal to 332ml × 17.3%
This is equal to 57.436ml.
Then the question states to round the answer to the nearest tenth.
Rounding 57.436ml to the nearest tenth (.1) will equal to 57.4ml.
Therefore, there are 57.4ml of acid in the solution rounded to the nearest tenth.
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Answers
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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What is the GCF of 22 and 32?
Answers
Answer:
The GFC of 22 and 32 is 2
Step-by-step explanation:
Name the figure as precisely as possible and solve for x.
Answers
The polygon shown in the figure is trapezoid and the value if x is .
What is trapezoid?
A trapezoid may be a polygonal shape that has just one try of parallel sides. These parallel sides also are referred to as parallel bases of trapezoid. the opposite 2 sides of trapezoids area unit non-parallel and referred to as legs of trapezoids
Main body:
by using the property of trapezoid ,
1/2(sum of both bases) = mid-line passing through trapezoid
according to question:
x = 1/2(x-8+2x-12)
x = 1/2(3x -20)
2x = 3x - 20
x = 20
Hence value of x is 20.
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Translate the statement into an algebraic expression. (Use "w" as a variable. Do not use "$" in your answer.
Mike had $184 and he is earning $50 per week.
Answers
Answer:
Cost = 184+50w
Step-by-step explanation:
Given statement is "Mike had $184 and he is earning $50 per week".
Here, $184 is fixed and $50 increases per week.
Let w is the variable.
ATQ,
Cost = 184+50w
Hence, the algebraic expression for the given statement is 184+50w.
If the Alpha company is 79% staffed and the Beta company is only 62% staffed, what is the relative change of staffing from the Alpha company to the Beta company? (Put your answer as a percentage rounded to 2 decimals.)
Answers
Answer:
The answer is "27.41%"
Step-by-step explanation:
Given:
The staffed of Alpha company = 79%
The staffed of Beta company = 62%
\(\bold {\ Relative \ change = \frac{\alpha- \beta }{\beta }}\)
\(= \frac{(79 -62)}{62} \% \\\\= \frac{17}{62} \times 100\\\\=0.2741 \times 100\\\\=27.41\ \%\)
The final answer is "27.41%".
To meet federal guide lines, a wheelchair ramp that is constructed to rise 2 feet off the ground must extend 12 feet along the ground. How long will the ramp be?
Answers
Answer:
48
Step-by-step explanation:
why because 2 × 12 is 48 and 14 feet would.'t make sense
hope this helps
A store owner decided to collect data on his customers. On one day he observed: 48 people bought 1 item 32 people bought 2 or more items 16 people did not buy anything items? Based on the data from that day, what is the probability that the next person to visit the store will buy 2 or more items?
Answers
Answer:
The probability that the next person to visit the store will buy 2 or more items is;
\(\frac{1}{3}\)Explanation:
Given that;
48 people bought 1 item
32 people bought 2 or more items
16 people did not buy anything items
Total number of samples;
\(N=48+32+16=96\)The probability that the next person to visit the store will buy 2 or more items is;
\(\begin{gathered} P_2=\frac{N_2}{N}=\frac{32}{96} \\ P_2=\frac{1}{3} \end{gathered}\)Therefore, the probability that the next person to visit the store will buy 2 or more items is;
\(\frac{1}{3}\)