A computer chip company finds that the experimental probability of manufacturing a defective computer chip is 5 out of 13 chips. How many defective computer chips are likely to be in a batch of 507 computer chips?

Answer:

4 1/4.

Step-by-step explanation:

First convert to improper fractions:

1 3/4 = (4*1 + 3)/4 = 7/4

2 1/2 = (2*2 + 1)/2 = 5/2

So it becomes:

7/4 + 5/2

The LCM of 2 and 4  is 4 so we write:

7/4 + 10/4

= 17/4

Now convert this to a mixed number:

17 / 4 = 4 remainder 1

So the answer is 4 1/4.

Answer:

4¼ is the answer

Step-by-step explanation:

\( \\ 1 \frac{3}{4} + 2\frac{1}{2} \)

\( \\ \rightarrow \frac{7}{4} + \frac{5}{2} \)

\( \\ \rightarrow\frac{7 + 10}{4} \)

\( \\ \rightarrow \frac{17}{4} \)

\( \\ \rightarrow 4\frac{1}{4} \)

As we can see 17/4 is not divisible by 4 so if we divide it we will get decimal number or mixed number and we need the answer in mixed number so the number 4¼ is in the simplest form and is the answer.

Hope it's helpful!

The validity of short forms may be reduced because they contain fewer items compared to the full-length version. Short forms of tests or questionnaires are often used in research and clinical settings due to their convenience and efficiency.

This means that the short form may not fully capture the construct being measured and may not accurately reflect the individual's true scores. Additionally, the items selected for the short form may not be representative of the full range of the construct, leading to bias and limited generalizability.

Therefore, researchers and clinicians should consider the trade-offs between convenience and validity when deciding to use short forms.

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Answer: 4, 2

Step-by-step explanation:

The means of the 10 possible samples of size 2 from the population {2, 4, 6, 6, 8} are 3, 4, 4, 5, 5, 5, 6, 6, 7, and 7.

To list all possible samples of size 2 from the given population of 5 values, we can use combinations. The possible combinations of two values from a set of five are:

{2, 4}, {2, 6}, {2, 6}, {2, 8}, {4, 6}, {4, 6}, {4, 8}, {6, 6}, {6, 8}, {6, 8}

To compute the mean of each sample, we add the two values in the sample and divide by 2. The mean of each sample, rounded to 1 decimal place, is:

{2, 4}: (2 + 4)/2 = 3

{2, 6}: (2 + 6)/2 = 4

{2, 6}: (2 + 6)/2 = 4

{2, 8}: (2 + 8)/2 = 5

{4, 6}: (4 + 6)/2 = 5

{4, 6}: (4 + 6)/2 = 5

{4, 8}: (4 + 8)/2 = 6

{6, 6}: (6 + 6)/2 = 6

{6, 8}: (6 + 8)/2 = 7

{6, 8}: (6 + 8)/2 = 7

Therefore, the means of the 10 possible samples of size 2 from the population {2, 4, 6, 6, 8} are 3, 4, 4, 5, 5, 5, 6, 6, 7, and 7.

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Dimensions of the enclosure that is most economical to construct are approximately L = 6.79 feet and W = 29.43 feet, rounded to two decimal places.

Let's assume that the rectangular area to be enclosed has dimensions length "L" and width "W", respectively.

We know that the area of the rectangle is 200 square feet:

L x W = 200

We also know that we need to enclose three sides of the rectangle with material that costs 6 dollars per foot, and one side with material that costs 14 dollars per foot.

The total cost, C, of the fencing can be expressed as:

C = 6(2L + W) + 14L

where 2L + W represents the length of the three sides that cost 6 dollars per foot, and L represents the length of the fourth side that costs 14 dollars per foot.

We can simplify this equation to:

C = 26L + 6W

using the equation L x W = 200.

Now we can use the method of calculus to find the minimum value of C. We take the derivative of C with respect to L, set it equal to zero, and solve for L.

dC/dL = 26 = 0

L = 0

This result means that the value of L that minimizes C is L = 0, which is obviously not a valid solution. This implies that the minimum value of C occurs at a critical point where dC/dL is undefined.

To find this critical point, we can use the equation L x W = 200 to eliminate one variable. Solving for W in terms of L, we get:

W = 200/L

Substituting this expression for W into the equation for C, we get:

C = 26L + 6(200/L)

Now we can take the derivative of C with respect to L and set it equal to zero:

dC/dL = 26 - 1200/L² = 0

Solving for L, we get:

L = √(46.15)

Substituting this value for L back into the equation for W, we get:

W = 200/√(46.15)

Therefore, the dimensions of the enclosure that is most economical to construct are approximately L = 6.79 feet and W = 29.43 feet, rounded to two decimal places.

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75 cookies

Step-by-step explanation:

500 × 0.25(3/4 cookies sold)= 125

125 - 0.4(2/5 gave to her friends) = 75

75 cookies remain

A word problem consists of a series of sentences that describe a situation which is to be resolved mathematically through calculations

1st question: Htwe has 75 cookies left

2nd question: \(1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6} = \mathbf{\underline {25\frac{11}{18} }}\)

The reasons the above values are as follows:

1st question:

The known parameters are;

The number of cookies Htwe made = 500

The fraction  of cookies she sold = 3/4

The fraction of the cookies she gave to all her friends = 2/5 of the remainder

The required parameter:

How many cookies she has left

Solution:

The number of cookies Htwe sold = 500 cookies × 3/4 = 375 cookies

The number of  cookies remaining = (500 - 375) cookies = 125 cookies

∴ The remainder of the cookies after sale = 125 cookies

The number of cookies she gave to her friends = 2/5 × 125 cookies = 50 cookies

The number of cookies she has left = The remainder - The number given to friends

∴ The number of cookies she has left = (125 - 50) cookies = 75 cookies

The number of cookies she has left = 75 cookies

2nd question:

Required;

To evaluate, \(1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6}\)

Solution:

\(1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6} = \dfrac{5}{2} + \dfrac{\dfrac{4}{5} }{\dfrac{3}{8} } \times \dfrac{65}{6} = \dfrac{5}{2} + \dfrac{4}{5} \times \dfrac{8}{3 } \times \dfrac{65}{6} = \dfrac{461}{18}\)

Therefore;

\(1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6} = \dfrac{461}{18} = \underline {25\frac{11}{18} }\)

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The algebraic expression that corresponds to the sentence "I think of a number, subtract 4, then divide by three" is given as follows:

(n - 4)/3.

The sentence for this problem is given as follows:

"I think of a number, subtract 4, then divide by three".

The number is unknown, hence the variable used to represent the number is given by n.

Then the subtraction of the number n by 4 is represented by the expression presented as follows:

n - 4.

The division of the entire expression by 3 means that the parenthesis has to be applied to (n - 4), due to the precedence of operators, hence:

(n - 4)/3.

The problem asks for the algebraic expression that represents the sentence.

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Answer:

  7 1/2 days

Step-by-step explanation:

The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:

  1/5 + 1/a = 1/3

  1/a = 1/3 -1/5 = 2/15

  a = 1/(2/15) = 15/2 = 7.5

The assistant takes 7.5 days to do the work alone.

The experimental probability of landing on white is 10%.

To find the experimental probability, we divide the number of times white was landed on by the total number of spins and then express it as a percentage. In this case, white was landed on 15 times out of 150 spins.

So, the experimental probability of landing on white is 15/150 = 0.1, which is equivalent to 10% when expressed as a percentage.

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Answer:

123456

Step-by-step explanation:

irdk

The possible values of z is an illustration of the sum operator

The sum of all possible values of z is 17

The conditions in the question are:

x <= y <= z

xyz = 2(x + y + z)

Using the trial by error method, the possible values of x, y and z are:

The sum of the z values are:

z = 8 + 5 + 4

Evaluate the sum

z = 17

Hence, the sum of all possible values of z is 17

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Therefore, the volume of the tissue box is 8208 cubic inches.

To calculate the volume of the tissue box, we can use the formula:

Volume = Base Area * Height

Given that the base area is 16 square inches and the height is 513 inches, we can substitute these values into the formula:

Volume = 16 * 513

Volume = 8208 cubic inches

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Answer:

Yo

Step-by-step explanation:

Answer:

A. 20 + 6L < 60

Step-by-step explanation:

It can't be B. or D. because 20L, not a thing in this problem. That leaves us with A. and C. being our only reasonable answers.

I chose A. because Jenny can't spend more than 60

The largest group would be the target population as it encompasses all individuals or objects of interest, while the other groups are subsets or smaller samples of this larger group.

Out of the four groups listed, the largest group would be the target population. The target population is the total group of individuals or objects that the researcher is interested in studying or gathering information about. It is the group that the researcher wants to make conclusions about based on their study results.

The accessible population is a subset of the target population and refers to the group of individuals or objects that are accessible and available for the researcher to study. This group may be smaller than the target population if some individuals or objects are not accessible or willing to participate in the study. The sample is a smaller subset of the accessible population that is actually studied and analyzed. The sample is chosen to be representative of the accessible population and the target population.

The control group is a specific type of sample used in experimental research. It is a group that does not receive the intervention or treatment being studied and is used to compare against the group that does receive the intervention or treatment.

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59 is a prime number.

This means that it cannot be divided evenly by any other number except for 1 and itself. A composite number, on the other hand, can be divided evenly by at least one other number besides 1 and itself.

To determine if a number is prime or composite, you can use a simple test. Start by dividing the number by 2. If the result is a whole number, then the number is composite.

If the result is not a whole number, try dividing by 3, 4, 5, and so on until you find a whole number result or until you reach the square root of the original number. If you reach the square root without finding a whole number result, then the number is prime.

For example, with the number 59:

59 / 2 = 29.5 (not a whole number)
59 / 3 = 19.67 (not a whole number)
59 / 4 = 14.75 (not a whole number)
59 / 5 = 11.8 (not a whole number)
59 / 6 = 9.83 (not a whole number)
59 / 7 = 8.43 (not a whole number)
59 / 8 = 7.38 (not a whole number)

Since we have reached the square root of 59 without finding a whole number result, we can conclude that 59 is a prime number.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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The probability that a voltage surge will not damage the television when two surge protectors are arranged in series is 0.99 × 0.99 = 0.9801.

When two surge protectors are arranged in series, the probability that a voltage surge will not damage the television is the product of the probabilities that each individual surge protector will not fail. In this case, the probability that a surge protector will not fail is 0.99 (or 99%). Therefore, the probability that a voltage surge will not damage the television is 0.99 × 0.99 = 0.9801. This means that there is a 98.01% chance that the television will not be damaged by a voltage surge when two surge protectors are arranged in series.

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Solutions cannot be more concentrated than a solution that has a %T of 10%

Solutions cannot be less concentrated than a solution that has a %T of 90%.

Beer's Law:

Beer's law (sometimes called Beer-Lambert's law) states that absorption is proportional to the path length b through the sample and the concentration c of the absorbing substance: The constant of proportionality is sometimes designated by the symbol a, which makes Beer's law literal.

The linearity of the law is limited by chemical and instrumental factors. The reasons for the nonlinearity are: Absorbance deviation at high concentrations (>0.01 M) due to electrostatic interactions between adjacent molecules.

Limitation of Beer's Law:

The linearity of the law is limited by chemical and instrumental factors.

Causes of non-linearity include:

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The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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Answer:

3.6

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

see attached image

The proportion of variability that can be explained through study time in exam scores is 64%

It is given that the correlation coefficient of the correlation between study time and exam score is 0.8.

This means that r = 0.8

In correlation the strength of the relation between study time and exam scores, which is also known as variability seen in exam scores can be calculated through the formula

r² X 100

Here as we have already mentioned r = 0.8

Hence, the proportion of variability that is seen in exam scores that can be explained by study time is

0.8² X 100

= 0.8 X 0.8 X 100

= 64%

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The distance from point A to point B is:

590 + x = 590 + 1096.7 = 1686.7 feet

To find the distance between two points, A and B, we need to know the angles of elevation to a lighthouse's beacon-light from each point and the horizontal distance between A and the lighthouse.

The angle of elevation is the angle between a horizontal line and a line of sight from an observer to an object above the horizontal line.

Let's assume that the horizontal distance from the lighthouse to point B is x. Therefore, the horizontal distance from point A to point B is 590 + x.

We can use trigonometry, specifically the tangent function, to find the distance between A and B.

First, let's find the height of the lighthouse, denoted as h. The tangent of the angle of elevation from point A to the beacon-light is equal to the opposite side (h) divided by the adjacent side (590). Therefore,

tan(11°) = h / 590

Solving for h, we get:

h = 590 tan(11°) = 114.4 feet (rounded to one decimal place)

Similarly, the tangent of the angle of elevation from point B to the beacon-light is equal to h divided by x. Therefore,

tan(6°) = h / x

Solving for x, we get:

x = h / tan(6°) = 114.4 / tan(6°) = 1096.7 feet

Therefore, the distance from point A to point B is:

590 + x = 590 + 1096.7 = 1686.7 feet

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We are given the formula in the questions, so all we need to do is solve.

0.25 = 75-p/p

0.25 = 75 - p

0.25p + p = 75

1.25p = 75

1.25p/1.25 = 75/1.25

p = 60

Therefore, the purchase price was $60.

Best of Luck!

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer:

-4

Step-by-step explanation:

the blue line is mapped over the red one to show the slope

use desmos dot com slash calculator for some extra help next time

Answer:92

Step-by-step explanation: I hope it is correct