Keypad B A sample of 1700 computer chips revealed that 57% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 60% of the chips do not faili n the first 1000
hours of their use. Is there sufficient evidence at the 0.01
level to support the company's claim?
Answers
The company's claim that 60% of the computer chips do not fail in the first 1000 hours of use is not supported by the evidence at the 0.01 level.
To determine whether there is sufficient evidence to support the company's claim, we can conduct a hypothesis test. Let's define the null hypothesis H₀ as "the proportion of chips that do not fail in the first 1000 hours is equal to or greater than 60%," and the alternative hypothesis H₁ as "the proportion is less than 60%."
We can use the binomial distribution to analyze the data. Out of the sample of 1700 chips, 57% did not fail in the first 1000 hours. We can calculate the expected number of chips that would not fail if the claim is true by multiplying 1700 by 0.60. This gives us an expected count of 1020 chips.
To conduct the hypothesis test, we can use the one-sample proportion z-test. We calculate the test statistic by subtracting the expected count from the observed count (in this case, 1020 - 969 = 51) and dividing it by the square root of (0.60 * 0.40 * 1700). This gives us a test statistic of approximately 2.45.
We can compare this test statistic to the critical value of the standard normal distribution at a significance level of 0.01. For a one-sided test, the critical value is -2.33. Since 2.45 > -2.33, the test statistic falls in the acceptance region.
Therefore, we fail to reject the null hypothesis. There is not sufficient evidence to support the company's claim at the 0.01 level. The sample data does not provide strong evidence to conclude that the proportion of chips not failing in the first 1000 hours is significantly different from 60%.
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Related Questions
Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answers
Answer:
31.4
Step-by-step explanation:
x=18/sin35
x= 31.38
=31.4(nearest tenth )
A fair spinner has 11 equal sections: 4 red, 3 blue and 4 green. It is spun twice. What is the probability of getting not green then green?
Answers
Answer: 7/11 probability it doesn’t land on green
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
if u can get a better picture I can help you
3
16) Find BD
15) Find CE
3x +47
B
10
E
B
С
D
1
27 + x
x + 26
Answers
Answer:
15) CE= 14
16) BD= 15
Step-by-step explanation:
Please see the attached picture for the full solution.
5
Select the correct answer.
Simplify the expression.
3x √648x4y8
O A. 18x2y2√3xy²
1
O B. 18ry2 3x²y²
O c. 9x²y 2xy²
OD. 18x2y2 √2xy²
Answers
The correct simplified expression is 18xy^7√2. Therefore, the correct answer is not D. 18x^2y^2√2xy^2, as stated earlier.
To simplify the expression 3x √648x^4y^8, we can start by simplifying the square root of 648. The square root of 648 can be expressed as the square root of 9 times the square root of 72.
The square root of 9 is 3, and the square root of 72 can be simplified as the square root of 36 times the square root of 2. The square root of 36 is 6, so the square root of 72 is 6√2.
Now we can rewrite the expression as 3x(6√2x^4y^8).
Next, we can simplify the coefficients and the variables. The coefficient 3 multiplied by 6 gives us 18. The variables x^4 and x cancel out, leaving us with x^0, which is equal to 1. Similarly, the variables y^8 and y cancel out, leaving us with y^7.
Therefore, the simplified expression is 18xy^7√2.
The correct answer is D. 18x^2y^2√2xy^2.
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In the first half of last year, a team won 60 percent of the games it played. In the second half of last year, the team played 20 games, winning 3 of them. If the team won 50 percent of the games it played last year, what was the total number of games the team played last year?
A) 60
B) 70
C) 80
D) 90
E) 100
Answers
The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.
In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.
To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.
Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:
0.375x = 50% of x
0.375x = 0.5x
0.5x - 0.375x = 0
0.125x = 0
x = 0 / 0.125
x = 0
However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.
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There are 20 animals in the barn. Some are geese and some are buffalo. There are 64 legs in all. How many of each animal are there?
Answers
Answer:
20 animals = x chickens (2 legs) + y horses (4 legs).
x+y=20 (total number of animals)
2x+4y=64 *total number of legs)
x+y=20
x+2y=32
If you solve this system of animal with 2 and 4 legs, you get 6 chickens and 14 horses
x=6
y=14
Try on your own!
The solution 5 = 5 is an example of what kind
of solution?
Answers
Answer:
algebraic expressions
QUICK PLEASE HELP WHAT IS THE ANSWER TO THIS QUESTION I NEED HELP: Jennifer earned $75.00 babysitting. She went shopping and bought a shirt for $18.50, a skirt for $22.95, and 3 pairs of socks for $4.75 each. She paid a 7% sales tax on all of the items she bought. How much money did Jennifer have left?
Answers
Answer:
15 dollars and 40 cents
Step-by-step explanation:
you add the shirt cost to the skirt cost to 3 times the sock cost
After that, you multiply that by 1.07 for the sales tax
then you take 75(her money) and subtract it from your previous answer to get how much she has left
Which ratios have a unit rate less than 1? Choose ALL that apply.
Answers
2 feet : 5/12 minutes has unit less than 1
What is unit rate?
A rate is a comparison between two separate measurement units.
18 bucks
one hour
A rate with a unit rate has 1 as the bottom number (also called a single-unit rate). Any rate can be converted into a unit rate. To accomplish this, divide both the top and bottom numbers by the bottom one. Of course, the denominator is the figure at the bottom.
18 dollars and 30 minutes = 0.6 dollars and 1 minute
Consider that a 5 ounce can of soup costs $1.25. What is the price of one ounce?
1.25 US dollars
5 ounces times 5 times 5 is 0.25 dollars.
1 ounce
Therefore, each ounce costs $0.25, or 25 cents! This is referred to as the soup unit price.
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Which statements can be represented by this equation? Select three options.
2n - 9.2 = n + 4/5
A. Twice a number minus nine and two-tenths is the same as number plus four-fifths.
B. Nine point two decreased by double a number is the same as the number added to four-fifths.
C. Nine point two less than twice a number is equal to the number added to four-fifths.
D. Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.
E. Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
Answers
Step by step example:
Answer:
A C E
Step-by-step explanation:
(-5)x (-5) x (-5) x (-5) =
What would the answer be
20 points
Answers
Answer:
\(625x^{3}\)
Step-by-step explanation:
Does the point (-2, 7) lie on the graph of y=-2x+1?
yes
no
Answers
The point (-2,7) is not lie on the graph of y = -2x +1 .
Given,
In the question:
To check the :
Does the point (-2, 7) lie on the graph of y=-2x+1?
Now, According to the question:
The equation is :
y = -2x + 1
Substitute the values of x = -2 and y = 7 into y = -2x +1
7 = -2(-2) + 1
LHS = 7
RHS = -2(-2) + 1 = 5
Write in the form :
7 = 5
Verify the relationship
False
Determine whether the point is on the line:
(-2, 7) not on the graph.
Hence, The point (-2,7) is not lie on the graph of y = -2x +1 .
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123.25 divided by 8.5
Answers
Answer:
14.5, with a remainder of 6.5.
Check bottom of explanation for more ways to answer the question!
Step-by-step explanation:
So, when we divide one number by another, we are trying to figure out how many times the second number goes into the first number. In this case, we want to know how many times 8.5 goes into 123.25.
One way to do this is to use long division. Here are the steps:
1. Write the number 123.25 under the division symbol, and the number 8.5 outside the division symbol.
2. Ask yourself, "How many times does 8.5 go into 12?" The answer is 1, so write a 1 above the division symbol, above the 2 in 12.
Multiply 8.5 by 1 to get 8.5, and write that number under the 12.
Subtract 8.5 from 12 to get 3.5, and write that number next to the 5 in 123.25.
Bring down the next digit of the dividend (which is the 2 in 123.25) to the right of the 3.5 to get 35.
Ask yourself, "How many times does 8.5 go into 35?" The answer is 4, so write a 4 next to the 1 above the division symbol.
Multiply 8.5 by 4 to get 34, and write that number under the 35.
Subtract 34 from 35 to get 1, and write that number next to the 2 in 123.25.
Bring down the next digit of the dividend (which is the decimal point) to the right of the 1.
Add a decimal point to the answer above the division symbol, and bring it down next to the decimal point in the dividend.
Ask yourself, "How many times does 8.5 go into 10?" The answer is 1, so write a 1 next to the 4 above the division symbol.
Multiply 8.5 by 1 to get 8.5, and write that number under the 10.
Subtract 8.5 from 10 to get 1.5, and write that number next to the decimal point in the quotient.
Bring down the next digit of the dividend (which is the 5 in 123.25) to the right of the 1.5 to get 15.
Ask yourself, "How many times does 8.5 go into 15?" The answer is 1, so write a 1 next to the 5 in the quotient.
Multiply 8.5 by 1 to get 8.5, and write that number under the 15.
Subtract 8.5 from 15 to get 6.5.
So the final answer is 14.5, with a remainder of 6.5.
**We can write this as 14 with a remainder of 6.5/8.5, or as a mixed number 14 and 6.5/8.5.
I hope this explanation helps you understand how to divide 123.25 by 8.5!
- Dante
Refer to figure 14-4. When price rises from P2 to P3, the firm finds that its quantity supplied also increases from Q2 to Q3 due to the higher profitability at the new price level
Answers
Figure 14-4 illustrates a situation where the price of a good or service increases from P2 to P3. As a result, the quantity supplied by the firm also rises from Q2 to Q3.
When the price of a good or service rises from P2 to P3, the firm realizes that the new price level offers higher profitability.
This encourages the firm to increase its quantity supplied from Q2 to Q3. The rationale behind this response lies in the profit motive of the firm. As the price increases, the firm anticipates higher revenue per unit sold.
Consequently, the firm sees an opportunity to generate more profits by supplying a greater quantity of the product at the new price.
This adjustment in quantity supplied reflects the firm's strategic decision to capitalize on the increased profitability associated with the higher price level, thereby maximizing its financial gains.
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A carpenter has been hired to construct a sign for a pet grooming business. The plans for the sign call for an elliptical shape with an eccentricity of 0.60 and a length of 36 inches. What is the maximum height of the sign?
Answers
Answer:
The maximum height of the sign is 3.6 inches.
Step-by-step explanation:
To obtain the maximum height of the sign, we need to understand the relationship between the eccentricity and the dimensions of an ellipse.
The eccentricity of an ellipse measures how elongated or stretched the ellipse is. It is defined as the ratio of the distance between the foci of the ellipse to the length of the major axis.In this case, the eccentricity is given as 0.60, which means the distance between the foci is 0.60 times the length of the major axis.
The length of the major axis is 36 inches, we can calculate the distance between the foci:
Distance between foci = eccentricity * length of major axis
Distance between foci = 0.60 * 36 inches
Distance between foci = 21.6 inches
Now, to obtain the maximum height of the sign, we need to consider that the distance from the center of the ellipse to the highest point (vertex) is equal to the distance from the center to one focus.
The maximum height of the sign is half the length of the minor axis, and it can be calculated using the formula:
Height = 0.5 * (length of major axis - 2 * distance between foci)
Height = 0.5 * (36 inches - 2 * 21.6 inches)
Height = 0.5 * (36 inches - 43.2 inches)
Height = 0.5 * (-7.2 inches)
Height = -3.6 inches
However, negative height does not make sense in this context, so we take the absolute value of the height:
Absolute Height = |-3.6 inches
Absolute Height = 3.6 inches
Therefore, the maximum height of the sign is 3.6 inches.
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Guys, can you please help me find the 2 values of k so that an each trinomial can be factored over the integers for me, please? :)
a). 2x²–7x+k
b). kx²–5x+3
Answers
Answer:
~Senpi Boi here~
Step-by-step explanation:
For the values of a and b that can be factored are the following answers, for a it would be 2x^2-6x. And for b it would be x-5/2^2.
(Hope this helps!) ^-^
the temperature in your town is 31 degrees Fahrenheit the radio announcer says that the temperature will drop 15 degrees what will the temperature be right in equation to show how you found your answer
Answers
Given data:
The initial value of the temperature is T= 31 degrees Fahrenheit.
The temperature drop is T'= 15 degrees .
The expression for the final value of the temperature is,
\(T_f=T-T^{\prime}\)Substitute the given values in the above expression.
\(\begin{gathered} T_f=31^{\circ}F-15^{\circ}F \\ =16^{\circ}F \end{gathered}\)Thus, the final temperature is 16 degrees Fahrenheit.
hurry guys i need help! ! ! !
Answers
Answer:
5: 15
10: 30
15: 45
20: 60
answer: ? = 60
Step-by-step explanation:
In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?
50%
-33.3%
-50%
66.7%
Answers
Answer:
33.3
Step-by-step explanation:
i´m good at math but hit thanks
A bricklayer is building a wall. Each layer of the wall has the same number of bricks. The points on the following coordinate plane show how many bricks he used to make 2, 3, and 4 layers of the wall.
Answers
Answer:
50
Step-by-step explanation:
Follow the graph and the bricks go up by 50 per 1 layer
For 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.
What is a linear graph?The graph for a straight line is called the linear graph in the linear graph the increment of the data for both the axes is constant so it gave a linear relationship.
As we can see in the graph there is a relationship between the number of bricks and the layers of the bricks.
Therefore, for 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.
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T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log
Answers
T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log
This statement is true.
Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.
For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.
In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.
Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.
For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.
Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.
Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.
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according to the bureau of labor statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with a standard deviation of 0.3 weeks. assuming that distribution is approximately normal, what is the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks? .8314
Answers
The probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is 0.8314 (to four decimal places).
According to the bureau of labor statistics, in calendar year 2000, the average duration of unemployment was 12.7 weeks, with a standard deviation of 0.3 weeks. Assuming that distribution is approximately normal, the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks is 0.8314 (to four decimal places).
Given that the average duration of unemployment was 12.7 weeks with a standard deviation of 0.3 weeks, and the distribution is approximately normal, the problem is solved as follows:
We are required to find the probability that a randomly selected individual who was unemployed in 2000 would have been unemployed between 12 and 13 weeks which is the same as finding P(12 ≤ X ≤ 13).The z-value for 12 is:
z = (12 - 12.7)/0.3 = -2.33 (to 2 decimal places)The z-value for 13 is:
z = (13 - 12.7)/0.3 = 1 (to 1 decimal place)Using a z-table or calculator, the probability is found to be 0.8314 (to four decimal places).
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Questions are in the image above.
Answers
Answer:
hope this helps
you will find all answer in the photo i sent
a woman is traveling in her car at 25 miles per hour. how far will that woman travel in thirty minutes? (distance
Answers
In 30 minutes, the woman will travel 12.5 miles.
This is due to the fact that the rate (25 mph) times the time equals the distance traveled. Mathematically, this can be expressed as d = rt, where d represents the distance, r represents the rate (speed), and t represents the time. In this instance, the distance can be calculated as d = 12.5 miles by multiplying d = 25 mph by 30 minutes/60 minutes.
The distance between two points is measured in distance. The rate, or the amount of distance traveled per unit of time, is the speed at which a person or vehicle travels. The woman in the car is traveling at a rate of 25 miles per hour (mph).
In this instance, the time is. The formula d = rt can be used to determine the distance traveled by multiplying her rate by the time. Given the rate and duration of travel, this formula can be used to determine the distance traveled by any object or person.
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can someone help me find what the “sin0=“ is for this
Answers
Answer:
24/25
Step-by-step explanation:
here's your solution
=> perpendicular = 24
=> base = 7
=> hypotenuse = ?
=> firstly we need to find hypotenuse
=> h^2 = p^2 + b^2
=> h^2 = 24^2 + 7^2
=> h^2 = 576 + 49
=> h^2 = 625
=> h = √625
=> h = 25
now sin thita = perpendicular/hypotenuse
=> 24/25
hope it helps
5/6 x = 15
Explain please and say the answer
Answers
Answer:
x=18
Step-by-step explanation:
multiply both sides of the equation by 6/5
simplify
yw
carson kelly, a catcher for the arizona diamondbacks, hit 18 home runs in 2019. if his home-run-hitting ability is expected to grow by 12 percent every year for the following five years, how many home runs is he expected to hit in 2024?
Answers
Carson Kelly is expected to hit approximately 31 home runs in 2024.
To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.
Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:
H(n) = H * (1 + r)^n
Where r is the growth rate, and n is the number of years into the future.
If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.
H = 18 (number of home runs in 2019)
r = 0.12 (growth rate)
n = 5 (number of years into the future)
H(5) = 18 * (1 + 0.12)^5
H(5) = 18 * 1.7623
H(5) = 31.9214
It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.
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The radius of a cylindrical water tank is 6.5 ft, and its height is 11 ft. What is the volume of the tank? Use the value 3.14 for pie, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answers
Answer:
Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...
The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.
What is a cylinder?
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Radius r = 6.5ftHeight h = 11ftConstant pi π = 3.14Volume of the cylindrical water tank V = ?We substitute our values into the expression above.
V = π × r² × h
V = 3.14 × (6.5ft)² × 11ft
V = 3.14 × 42.25ft² × 11ft
V = 1459ft³
The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.
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Which of these statements is true for f(x) = 4 . (7)*?
A. It is always decreasing.
B. The y-intercept is (0, 1).
C. The y intercept is (0, 4).
D. The domain of f(x) is x > 0.
Answers
Answer:
C. The y-intercept is (0, 4).
Step-by-step explanation:
The graph of f(x) = 4 is a straight line parallel to the x-axis passing through the point (0, 4).
Answer:C
Step-by-step explanation:
BIG BRAIN