Before the computer is assembled, its vital component(motherboard) goes through a special inspection. Only 80% of components pass this inspection.
What is the probability that at least 18 of the next 20 components pass inspection?

Answer:

29 sq.inches

Step-by-step explanation

2x2+5x3+5x2=29sq .inches

Answer:n=-2 or n=4

Step-by-step explanation:

Q is not inversible if det(Q)=0

\(\left|\begin{array}{ccc}6&7&-1\\3&n&5\\9&11&n\end{array}\right| =0\\\\\\\\6(n^2-55)-3(7n+11)+9(35+n)=0\\\\n^2-2n-8=0\\\\\Delta=36=6^2\\\\n=\dfrac{2-6}{2} =-2\ or\ n=\dfrac{2+6}{2}=4\\\)

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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The equation of the plane through the origin and the points (2, –4, 6) and (5, 1, 3) is - 9x + 12y + 11 x = 0.

The general equation of a plane through (0, 0, 0) is a(x - 0) + b(y - 0) + c(z - 0) = 0

Since the plane passes though the origin, the equation of the plane is given by ( x, y, z ) = 0. Simplify it so that you write the equation of the plane in the form a x + b y + c z = 0

ax + by + cx = 0...(1)

It will pass through B(2, -4, 6) and C(5, 1, 3) if

a(2) + b(-4) + c(6) = 0

2a - 4b + 6c = 0

a - 2b + 3c = 0 ...(2)

a(5) + b(1) + c(3) = 0

5a + b + 3c = 0 ... (3)

Solving (2) and (3) by cross-multiplication, we have

\(& \frac{a}{-6-3}=\frac{b}{15-3}=\frac{c}{1+10} \\\)

\(& \Rightarrow \frac{a}{-9}=\frac{b}{12}=\frac{c}{11}=\lambda\) (say) }

\(& \Rightarrow\) a = - 9 \(\lambda\), b = 12 \(\lambda\)  and c = 11 \(\lambda\)

Substituting the values of a, b and c in (1), we get

- 9 \(\lambda\) x + 12 \(\lambda\) y + 11 \(\lambda\) x = 0

- 9x + 12y + 11 x = 0

which is the required equation of the plane.

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Answer:

y= - 5x+40

Step-by-step explanation:

I graphed this out. Remember that in parallel lines, the slopes are always the same.  

The maximum volume square candy box to be cut out is 2.88 inches.

If the size of the squares to also be cut out is x, then

A rectangular box's volume is provided by length x width x height.

V = (25 - 2x)(14 - 2x)x = x(350 - 78x + 4x²)

V = 350x - 78x² + 4x³

For the maximum volume of the candy box.

dV/ dt = 0

Differentiate the volume with respect to time.

dV/ dt = 350 - 156x + 12x².

Then,

350 - 156x + 12x² = 0

Solve the above quadratic equation by the quadratic formula and find the roots as-

x = 10.12  and 2.88

However, the size of a square cut out cannot be 10.12 because 10.12 inches cannot be cut from both sides of a 14-inch width.

As a result, the maximum volume square to be cut out is 2.88 inches.

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Answer:

X is 26

Step-by-step explanation:

Hahahah don't be mad

One straight line is 180°

So

2x-10+5x+8 = 180

7x = 180-8+10

X = 26

To find the value after it is decreased in the ratio of 2:3, we can use the concept of common ratio. By subtracting the decrease from the ratio, we will get our answer.

Determine the common ratio: The ratio is given as 2:3, which means that for every 2 units decrease, there is a corresponding 3 units decrease. In this case, the common ratio is 2/3.

Calculate the decrease: Multiply the value (30) by the common ratio (2/3) to find the amount of decrease.

Decrease = 30 * (2/3) = 60/3 = 20

Subtract the decrease from the original value to find the final value:

Final value = 30 - 20 = 10

Therefore, when 30 is decreased in the ratio of 2:3, the final value is 10.

Complete Question:

Determine the common ratio: The ratio is given as 2:3.

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A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

Identify the sign bit. In this case, the number is positive, so the sign bit is 0.

Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.

Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0000 -> 0

0001 -> 1

0000 -> 0

0111 -> 7

1110 -> E

0 -> 0

So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.

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Answer: the point that is listed is -6,1. The slope is 1/4. And the slope intercept form is y-1=1/4(x+6)

Step-by-step-explanation

You calculate the slope to be 1/4 by finding 2 points on the line and using rise over run. Then take one of those ordered pairs and put it in the slope intercept formula. Those numbers being y1 and x1 in the equation.

Answer:

10,37

Step-by-step explanation:

for EF= \(\sqrt{17^{2} -14^{2} } =10\)

for D= we have 2 knowns which are 53 and 90, so we need to minus them from each other to get D.  90-53=37

Answer:

I think 11.25

Step-by-step explanation:

25% of 13 is 3.75 3.75-15=11.25

Answer:

\( 41 - ( - 7) = 41 + 7 = 48\)

Answer:

9 sides

Step-by-step explanation:

Formula for finding interior angles of all polygons : 180 ( n - 2) / n = A

(n being the amount of sides it has)

This information is important so you can plug in the numbers that you already know

We know that the interior angle measures to 140 degrees

180 (n - 2) / n = 140

multiply both sides by "n"

(n - 2) x 180 = 140n

Distribute 180 to what's inside the parenthesis

180n - 360 = 140n

Subtract 140n and add 360 to each side (which just moves 360 to the other side of the "="

40n = 360

Divide 40 by both sides

n = 9

hope this helps :)

The product of 2 and 1 3/6 can be expressed as either 18/6 or 3

The product of 2 and 1 3/6 can be found by multiplying 2 by the mixed number 1 3/6. To do this, we need to convert the mixed number to an improper fraction, then multiply it by 2. Here are two possible expressions that are equal to the product of 2 and 1 3/6

Improper fractions

2 x 1 3/6 = 2 x (1 + 3/6) = 2 x (6/6 + 3/6) = 2 x 9/6 = 18/6

Therefore, the product of 2 and 1 3/6 is equal to 18/6.

Decimals

We can also convert the mixed number 1 3/6 to a decimal and then multiply it by 2. To convert the mixed number to a decimal, we divide the numerator (3) by the denominator (6), which gives us 0.5. Then we add the whole number (1) to get 1.5.

2 x 1.5 = 3

Therefore, the product of 2 and 1 3/6 is equal to 3.

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Answer:

the fourth one

Step-by-step explanation:

it says

3

333333

Answer:

UV= 6

XY= 4

YW= 4

XV= 3

ZW= 4

VW= 8

Step-by-step explanation:

Answer:

The area of the rectangle is given by the formula A = lw. Substituting the given values, we get:

A = (x+14)(3x+1)

Expanding the expression, we get:

A = 3x^2 + x + 42x + 14

A = 3x^2 + 43x + 14

Therefore, the area of the rectangle is given by the polynomial expression 3x^2 + 43x + 14.

The sum of all interior angles of a nonagon is given as (n - 2) × 180° where n is the number of sides. Since a nonagon has 9 sides, this can be expressed as:

(9 - 2) × 180° = 1260°

If the measure of seven angles in a nonagon measures 138°, 154°, 145°, 132°, 128°, 147°, and 130°, then the sum of the measures of those angles will be:

138° + 154° + 145° + 132° + 128° + 147° + 130° = 974°

To find the measure of the two remaining angles, we can subtract the sum of the known angles from the sum of all the interior angles of a nonagon:

1260° - 974° = 286°

Thus, the sum of the measure of the two remaining angles is 286°. Since there are two remaining angles, we can divide this by 2 to find the measure of each angle:

286° ÷ 2 = 143°

Therefore, each of the two remaining angles in a nonagon measure 143°. The given problem is to find the measure of the two remaining angles of a nonagon when the measure of seven angles in a nonagon measure 138 154 145 132 128 147 and 130.

First, we need to know that the sum of all interior angles of a nonagon is given as (n - 2) × 180° where n is the number of sides. Since a nonagon has 9 sides, this can be expressed as (9 - 2) × 180° = 1260°.

If the measure of seven angles in a nonagon measures 138°, 154°, 145°, 132°, 128°, 147°, and 130°, then the sum of the measures of those angles will be 138° + 154° + 145° + 132° + 128° + 147° + 130° = 974°.

To find the measure of the two remaining angles, we can subtract the sum of the known angles from the sum of all the interior angles of a nonagon. 1260° - 974° = 286°.

Thus, the sum of the measure of the two remaining angles is 286°. Since there are two remaining angles, we can divide this by 2 to find the measure of each angle. 286° ÷ 2 = 143°.

Therefore, each of the two remaining angles in a nonagon measure 143°.

The sum of the measure of all angles of a nonagon is given as (n - 2) × 180°, where n is the number of sides. If the measure of seven angles in a nonagon measures 138°, 154°, 145°, 132°, 128°, 147°, and 130°, then the sum of the measures of those angles will be 138° + 154° + 145° + 132° + 128° + 147° + 130° = 974°. Subtracting this sum from the sum of all the interior angles of a nonagon gives the sum of the two remaining angles, which is 286°. Dividing this by 2 gives the measure of each of the two remaining angles, which is 143°.

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The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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Answer:

x1 = -4

x2 = 3

Step-by-step explanation:

\(x^{2} + x = 12\\x^{2} +x-12=0\\x^{2} +4x-3x-12=0\\x*(x+4)-3(x+4)=0\\(x+4)*(x-3)=0\\x+4= 0 \\x-3=0\\x=-4 \\x=3\\x1=-4 \\x2=3\)

Step-by-step explanation:

=> x² + x = 12

=> x² + x -12 = 0

=> x² + 4x - 3x -12 = 0

=> x ( x + 4)-3(x + 4) = 0

=> ( x + 4)(x-3)=0

=> x = 3 , -4

Answer:

the approximate value after 6 years is $443

Step-by-step explanation:

The computation of the approximate value after 6 years is shown below:

= Current value × (1 + rate of interest)^number of years

= $250 × (1 + 0.10)^6

= $250 × 1.1^6

= $442.8903

= $443

Hence, the approximate value after 6 years is $443

Therefore the last option is correct

There is a 38.51% probability that a randomly chosen applicant will score between 550 and 650 which is derived through standard normal distribution method.

It is given to us that the scores of the applicants for graduate school are normally distributed with -

Mean(μ) = 560

and, Standard deviation (σ) = 90

We have to find out the probability of a randomly chosen applicant will score between 550 and 650.

We have to use the standard normal distribution method in order to find out the required probability.

According to standard normal distribution curve method,

Z = (X-μ)/σ

=> Z = (550-560)/90 and, Z = (650-560)/90

=> Z = -0.11 and Z = 1.00

The probability will be with respect to the corresponding z-tables which is equal to = (0.3413+0.0438)

= 0.3851

Thus, the probability of a randomly chosen applicant will score between 550 and 650 is 0.3851 or 38.51%.

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Answer:

0.002 pounds

Step-by-step explanation:

1lb / 500 = 0.002 pounds

Answer:

49/90 is simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

49/90

Answer:

there was no question, but if your asking how much there shrinking by the top one comes first and the 2nd shrinks down to twice the size.

Step-by-step explanation:

Using translation concepts, the sequence that is used to obtain Figure A'B'C'D' is given by:

Reflection about the y-axis followed by a translation to the left by 2 units.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Considering the vertices, the changes have the following pattern:

(x,y) -> (-x,y) -> (-x -2, y).

At step (x,y) -> (-x,y), the function is reflected over the y-axis. Then, at step (-x,y) -> (-x -2, y), the function is shifted left 2 units, hence the correct option is given by:

Reflection about the y-axis followed by a translation to the left by 2 units.

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Answer:

56

Step-by-step explanation:

40/10= 4 every hour

14x4=56