how much is (+2) + (-12)​

The p-value (0.0251) is greater than the significance level (0.02), we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 level to dispute the company's claim.

To determine if there is sufficient evidence to dispute the company's claim, we can set up the following hypotheses:

Null hypothesis (H₀): The proportion of chips that fail in the first 1000 hours is equal to 49%.

Alternative hypothesis (H₁): The proportion of chips that fail in the first 1000 hours is not equal to 49%.

In symbols:

H₀: p = 0.49

H₁: p ≠ 0.49

Where:

p represents the true proportion of chips that fail in the first 1000 hours.

The significance level is given as 0.02, which means we want to test the hypotheses at a 2% level of significance.

Now, let's perform a hypothesis test using the provided sample data.

Given that the sample size is 1300 and the proportion of chips that fail in the first 1000 hours is found to be 46%, we can calculate the test statistic and p-value using the binomial distribution.

The test statistic follows an approximate standard normal distribution when the sample size is large. To calculate the test statistic, we need to compute the standard error (SE) of the sample proportion:

SE = √((p * (1 - p)) / n)

where n is the sample size.

SE = √((0.49 * (1 - 0.49)) / 1300)

≈ 0.0134

We can now calculate the test statistic (Z-score):

Z = (p sample - p) / SE

where p sample is the sample proportion and p is the proportion specified in the null hypothesis.

Z = (0.46 - 0.49) / 0.0134

≈ -2.2388

Using the standard normal distribution table or a statistical calculator, we find that the p-value corresponding to Z = -2.2388 is approximately 0.0251 (two-tailed test).

Since the p-value (0.0251) is greater than the significance level (0.02), we fail to reject the null hypothesis. There is not sufficient evidence at the 0.02 level to dispute the company's claim.

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The complete question is:

A sample of 1300 computer chips revealed that 46% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that 49% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to dispute the company's claim? State the null and alternative hypotheses for the above scenario.

9514 1404 393

Answer:

  -8/5

Step-by-step explanation:

When you solve for y, the slope of the line is the x-coefficient. For the given line, that is ...

  8y = 5x +11 . . . . . add 5x

  y = 5/8x +11/8 . . . . divide by 8

The given line has a slope of 5/8. The perpendicular line will have a slope that is the opposite of the reciprocal of this:

  -1/(5/8) = -8/5 . . . . slope of perpendicular line

Answer:

The slope of the perpendicular line will be -8/5, or -1.6

Step-by-step explanation:

First we need to rearrange the equation to show the slope, putting in the format y = sx + c:

\(8y - 5x = 11\\8y = 5x + 11\\y = \frac{5}{8}x + \frac{11}{8}\)

So the given line has a slope of 5/8.

A line perpendicular to that will have a negative reciprocal of that slope, so it's slope will be -8/5.

Answer:

Step-by-step explanation:

greater than 1   ,  is your teacher just giving you brain teaser questions?  these seem like they are .. "out in the weeds"  type of questions,  not really useful math   :/  

Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.

One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.

The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.

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Observations consisting of pairs of variable data are required to construct a scatter chart.

A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.

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Answer:

A number cube

Step-by-step explanation:

A coin a 5-sector spinner a number cube a bag of 11 marbles

A number cube is the best to simulate this scenario and predict whether a randomly chosen resident has a library card.

As Coin has only 2 outcomes "Head" and "Tail".

A 5-sector sector spinner has only 5 outcomes we need six outcomes.

A bag of 11 marbles has no differentiated with respect to colors etc.

Hence, A number cube is correct to chosen five out of six residents of Mayville have library cards.

Answer:

c

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

factors are numbers that divide exactly into a number , leaving no remainder.

then the only factor of 27 from the list is 27

Given sequence is geometric sequence and common ratio between consecutive term is

In Arithmetic sequence , common difference between consecutive terms should be equal.

In Geometric sequence, common ratio between consecutive terms should be equal.

Given sequence, 16, 8, 4, ...

Since, common difference = 8 - 16 ≠ 4 - 8 , this is not arithmetic sequence.

Common ratio = T2/T1 = T3/T2 = 8/16 = 4/8 = 1/2 Because common ratio is are equal. Thus, given sequence is geometric sequence.

Hence the sequence is a geometric sequence and the common ratio = 1/2

Answer:

696

Step-by-step explanation:

\(\frac{m}{8} = 87\)

First I would multiply each side by 8 to find what M is (because if you multiple m/8 by 8 the 8s will cancel out).

\(m=87*8\\m = 696\)

Because any number divided by 1 would just be itself, 696/1 is just 696.

Answer: m/1= 7.125 or 7.1 (rounded)

Step-by-step explanation:

if m/8=57 then m/1 multiplied by 8 would be 57 . so you do the opposite and divide 57 by 8.

Answer:

15% of a 55.80 meal is $8.37

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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Answer:

17

Step-by-step explanation:

f(x) = x^2 + 8.

f(-3) = (-3) ^2 +8

      = 9+8

      = 17

The equation of the elastic curve for portion ab of the beam is y = w/24 * e^(-x/4 * l) * (4l^2 - x^2)

The elastic curve equation for a simply supported beam with a uniformly distributed load is y = (w/(24 * EI)) * (x^2) * (3l - x), where w is the load per unit length, E is the modulus of elasticity, I is the moment of inertia, x is the distance from the left end of the beam, and l is the length of the beam.

In this case, we are given a load w, and a beam of length l. The elastic curve equation is given as y = w/24 * e^(-x/4 * l) * (4l^2 - x^2), which is a variation of the standard equation. The e^(-x/4 * l) term represents the deflection due to the load, while the (4l^2 - x^2) term represents the curvature of the beam.

To derive this equation, we first find the deflection due to the load by integrating the load equation over the length of the beam. This gives us the expression for deflection as a function of x.

We then use the moment-curvature relationship to find the curvature of the beam as a function of x. Finally, we combine these two expressions to get the elastic curve equation for the beam.

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In the function rule p(t) - 700, the number 700 represents a constant value that is subtracted from the value of the function p(t).

Assuming that p(t) is a function of time t, it is possible that p(t) represents a physical quantity such as the population of a city, the price of a stock, or the number of customers in a store, among other things. If we know what p(t) represents, we can interpret the meaning of 700 in the context of the situation.

For example, if p(t) represents the population of a city, then p(t) - 700 would represent the difference between the population and a reference value of 700. This could mean that 700 is the estimated minimum viable population of the city, or it could represent a reference population for comparison with other cities.

If p(t) represents the price of a stock, then p(t) - 700 would represent the difference between the stock price and a target value of 700, such as a price floor or a strike price.

In general, the meaning of 700 in the function rule p(t) - 700 depends on the specific context of the situation and the physical quantity that p(t) represents.

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Answer:

637.50

Step-by-step explanation:

Answer:

One way to find the area of a square with a side length of 12 yards is to use the formula A = s^2, where A is the area and s is the side length. Since 1 yard equals 3 feet, we can convert the side length to feet and then square it to get:

12 yards = 12 x 3 = 36 feet

A = 36^2 = 1296 square feet

Another way to find the area is to use the fact that the area of a square is equal to the length of one side squared, and the length of one side is equal to the square root of the area. So we can find the area of the square in square yards first, and then convert it to square feet:

Area in square yards = side length in yards squared

= 12 yards x 12 yards

= 144 square yards

Since 1 yard equals 3 feet, we can convert square yards to square feet by multiplying by 9:

Area in square feet = 144 square yards x 9

= 1296 square feet

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

i know it

Answer:

f ≥ -2

Step-by-step explanation:

6f ≥ -12

Divide both sides by 6;

f ≥ - 2

Answer:

16767

Step-by-step explanation:

Each new term is found by multiplying the previous term by 3.  Thus, 3 is the common ratio.  The formula for this geometric series is therefore

a(n) = 23*3^(n - 1).

The 7th term is a(7) = 23*3^6 = 16767

The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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An understanding of Boolean algebra is important to computer scientists because it provides the basis for logical operations that are used in computer programming and digital electronics.

Boolean algebra is a branch of mathematics that deals with binary variables and logic gates. Computer scientists use Boolean algebra to design and analyze digital circuits and logic gates, as well as to create programming languages and algorithms. The ability to understand and apply Boolean algebra is crucial for computer scientists in order to develop efficient and reliable software and hardware systems.
Boolean algebra deals with binary values (true/false or 1/0) and uses logical operations like AND, OR, and NOT to manipulate them. Computer scientists use these concepts in programming, data structures, algorithms, and optimization. By mastering Boolean algebra, computer scientists can create efficient and reliable software and hardware systems.

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Answer:

6

Step-by-step explanation:

3*5*height=90

Answer:

B) Graph of an Absolute Value Function

Step-by-step explanation:

A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input correspond with exactly one output.    

The given table in Option A) is not a function because there are two corresponding y-values for x = 3.

Option C is also not a function because the input value of x = -1 has two output (y-values): -11 and 5.

Option D is also not a function because the input value of 3 has two output values: -5 and 0.

Option B represents a function because each input value has exactly one corresponding output value.  A useful technique to use in determining whether a given graph represents a function is the Vertical Line Test.  If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is an edited screenshot of Option B, where it shows that each blue vertical line has its own corresponding point.  This means that the each line crosses the graph at most once. Therefore, the correct answer is Option B.

Answer:

The graph

Step-by-step explanation:

I got it right on plato

Answer:

55.8507 i didnt have enough time to post the picture

Answer:

3

Step-by-step explanation:

In this case, because there is a right angle, we can use pythagoras

The equation of sphere is (x -1 )^{2}  + (y - 2 )^{2}  + (z+3 )^{2}  = 14.

According to the statement

we have to find the equation of the sphere which passes through the a(1,2,-3), with center b (2,4,0).

So, For this purpose, we know that the

Sphere is In analytical geometry, if “r” is the radius, (x, y, z) is the locus of all points and \((x_{0} , y_{0} , z_{0})\)

is the center of a sphere, then the equation of a sphere is given by: \((x -x_{0} )^{2} + (y - y_{0} )^{2} + (z-z_{0} )^{2} = r^{2}\).

So, Here from given equation

The sphere that passes through a(1,2,-3), with center b (2,4,0).

here the locus point is a(1,2,-3).

The radius of sphere is

\(Radius = \sqrt{(1-2)^{2} + (2-4)^{2} + (-3-0)^{2} } \\Radius = \sqrt{(1 + 4 +9 }\)

So, radius is square root 14.

And then the equation of sphere become

\((x -1 )^{2} + (y - 2 )^{2} + (z+3 )^{2} = 14\).

So, The equation of sphere is (x -1 )^{2}  + (y - 2 )^{2}  + (z+3 )^{2}  = 14.

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the possible dimensions of the rectangular prism are:

1 unit by 12 units by 10 units

2 units by 6 units by 10 units

3 units by 4 units by 10 units

Let the length and width of the rectangular prism be represented by l and w, respectively. Since the height of the prism is 10 unit cubes, we know that the volume of the prism is:

V = l × w × 10

We are also given that the prism requires 120 unit cubes to fill completely, which means:

V = l × w × 10 = 120

Dividing both sides by 10, we get:

l × w = 12

Now we need to find pairs of positive integers l and w that multiply to 12. These are:

1 × 12

2 × 6

3 × 4

Therefore, the possible dimensions of the rectangular prism are:

1 unit by 12 units by 10 units

2 units by 6 units by 10 units

3 units by 4 units by 10 units

Note that these dimensions are not unique, as we can also obtain different dimensions by exchanging the length and width, or by rotating the prism.

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False, one can tell if a data set is close to symmetric or not by watching a histogram.

             The histogram exhibit a symmetrical distribution of given data. The data is symmetrical if we are able to draw a vertical line at some point in the histogram such that its shape on both sides of the left and the right of the vertical line exactly reflected images to each other. The mean, the median, and the mode are can be taken as examples to prove the symmetricity using histogram for these data.  

         In an altogether symmetrical distribution, the mean and the median are alike. Such as the mode has one mode (unimodal), and the mode is the alike as the mean and median.

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