a lot of 150 semiconductor chips is inspected by selecting five at random and without replacement. if at least one of the five is defective, the lot is rejected. find the probability of rejecting the lot if in the 150, (a) 10 are defective. (b) 20 are defective.

Answer:

\(4\sqrt{3}\)

Step-by-step explanation:

\(4\sqrt{3}\) = \(\sqrt{6}\) x \(\sqrt{8}\)

Answer:

4 root 3 is the answer

Step-by-step explanation:

hope its help

Answer:

Hello . ♡

The answer to your question is : −370 .

Step-by-step explanation:

Hope this helps u ;)

Answer:

8%+10%=180 180÷100=1.8% grapefruit is heavier than Apple

The missing figure is attached down

Answer:

Container A is filling more quickly

Step-by-step explanation:

Let us explain the linear relation

The linear equation is y = m x + b, where

If a line represents the amount of water over time, then it represents the rate of filling of the water

∵ There are two containers A and B that have the same size

∵ The two lines represent the amount of water over time in

    containers A and B

∴ The slopes of the lines represent the rat of water in the tanks

→ That means the greater slope represents the greater rate

∵ The greater the slope, the steeper the line

∴ The container that represented by the steeper the line is filling quickly

→ The line represents container A is steeper more than the line

    represents container B

∴ Container A is filling more quickly

Answer:

b becuase of the slope

Step-by-step explanation:

The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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Step-by-step explanation:

Let there be 15 milk choclates and 10 white choclates, out of the total 25 choclates.

fraction of the box of chocolates that are milk chocolate = 15/25=3/5.

fraction of the box of chocolates are white chocolate =10/25 =2/5

Answer:

25/1 or 5/5

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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Answer:

XY=13

Step-by-step explanation:

From the triangles, you can see XY=PR

XY=(2x+3)

PR=(4x-7)

plug in the values into the equation

2x+3=4x-7

solve

-2x=-10

x=5

Don't forget to substitute x into 2x+3

2(5)+3=XY

13=XY

Answer:

149

Step-by-step explanation:

6.4 ÷ 0.043

= 148.837209302

= 149 (rounded to the nearest whole number)

Hope this helped!

Answer:

6.4 ÷ 0.043=148.83...so the nearest whole number it is 149

Step-by-step explanation:

since 5-9 are rounded up

The equation of the hyperbola is (y-6)²/16 - (x-3)²/36 = 1.

We can start by finding the center of the hyperbola, which is the midpoint between the two foci. The midpoint is (3,6).

Next, we can find the distance between the center and one of the vertices. This distance is called the semi-major axis, and it is equal to 4 in this case (since the distance between the center and either vertex is 4).

We can also find the distance between the center and one of the foci. This distance is called the distance between the center and focus, and it is equal to 5 in this case (since the distance between the center and either focus is 5).

Now we can use these values to write the equation of the hyperbola. The standard form of the equation is:

(y-k)²/a² - (x-h)²/b² = 1

where (h,k) is the center of the hyperbola, a is the semi-major axis, and b is the semi-minor axis.

Plugging in the values we found, we get:

(y-6)²/4² - (x-3)²/5² = 1

Simplifying, we get:

(y-6)²/16 - (x-3)²/36 = 1

So the equation of the hyperbola is (y-6)²/16 - (x-3)²/36 = 1.

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doesn't the thing in the box tell you how much for 90 cookies ?

Answer:

Interest = Principal x rate x time

Principal = 5000     rate = 4.5%                      t= 10 years

Amount =P(1 + r/n)nt

Amount = 5000(1 +.045/10)10

          A = 5000( 1 + .0045) 10

          A = 5000( 1.0045) 10    

Total Amount money in 2020 = Php. 50,225

The required inequality is x > -22/7 which is equivalent to the given inequality.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

-4(x+7) < 3(x-2)

We have to determine the equivalent inequality to the given inequality

As per the question, we have

-4(x+7) < 3(x-2)

Apply the distributive property on both sides,

-4x - 28 < 3x - 6

Rearrange likewise terms,

-4x - 3x < -6 + 28

-7x < 22

- x < 22/7

x > -22/7

Thus, the required inequality is x > -22/7.

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Answer:

-1/2

Step-by-step explanation:

The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.

In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.

To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.

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Answer:

3. 3g/mL

4. 11 g/mL

5. 5mL

6. 500g

Step-by-step explanation:

By using a trigonometric relation, we will see that the value of x is 60.57°

On the image, we can see a right triangle where x represents one of the angles.

We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Then we can write:

tan(x) = 3.9/2.2

Using the inverse tangent function in both sides, we will get:

Atan( tan(x)) = Atan(3.9/2.2)

x = Atan(3.9/2.2) = 60.57°

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Answer:

9^10

Step-by-step explanation:

(a^b)^c = a^(b×c)

hihi

If the spheres are connected by a long thin wire, then the two spheres are at the same potential.

In math, the term sphere refers a three dimensional solid, that has all its surface points at equal distances from the center.

Here we have given that the two conducting spheres, here one having twice the diameter of the other, that are separated by a distance large compared to their diameters. Then the smaller sphere (1) has charge q and the larger sphere (2) is uncharged.

And we need to find If the spheres are connected by a long thin wire.

While we looking into the given question when these two conducting spheres are connected together through a thin wire then charge from the smaller sphere will travel through the wire.

Therefore, here this charge will continue to travel towards the neutral sphere until the charge on both the spheres will become equal to each other.

Therefore, their potential will also become equal.

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The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.

The sample variance is a measure of how much the individual data points in a sample vary from the mean.

It is calculated by finding the average of the squared differences between each data point and the mean.

To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:

Calculate the mean (average) of the data set:

Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90

Subtract the mean from each data point and square the result:

(93 - 90)^2 = 9

(89 - 90)^2 = 1

(91 - 90)^2 = 1

(87 - 90)^2 = 9

(91 - 90)^2 = 1

(89 - 90)^2 = 1

Calculate the sum of the squared differences:

9 + 1 + 1 + 9 + 1 + 1 = 22

Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):

Variance = 22 / 5 = 4.4

It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.

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The median is the middle value when an odd number of data values are arranged in order.

The median is an important concept in statistics that helps to describe the central tendency of a dataset. When dealing with an odd number of data values, finding the median is straightforward. First, you need to arrange the values in either ascending or descending order. Once the data is ordered, the middle value is the median. For example, if you have the following dataset: 1, 3, 5, 7, 9. The median is the middle value, which in this case is 5. It is important to note that the median is not affected by extreme values or outliers. It is a reliable measure that represents the central value in a dataset.

In summary, when an odd number of data values are arranged in order, the middle value is known as the median. It is a measure of central tendency that helps to describe the middle value in a dataset.

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It is False that the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian. .

In a geographic coordinate system, a prime meridian is any line of longitude when longitude is defined to be 0°. A great circle is formed by a prime meridian and its anti-meridian (the 180th meridian in a 360° system).

A spheroid, like the Earth, is divided into two hemispheres by this vast circle: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system).

Different conventions have been used or supported for Earth's prime meridian throughout history in various places. The IERS Reference Meridian is the current international prime meridian for the Earth. It is developed from the former Greenwich Meridian, however it is somewhat different.

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The simplified fοrm οf the inequality is  -5x < -10.

The term "inequality" is used in mathematics tο describe a relatiοnship between twο expressiοns οr values that is nοt equal tο οne anοther. Inequality results frοm a lack οf balance. When twο quantities are equal, we use the symbοl '=', and when they are nοt equal, we use the symbοl. If twο values are nοt equal, the first value can be greater than (>) οr less than (), οr greater than equal tο () οr less than equal tο ().

Here the given inequality is,

=> 7-2( x + 2) <-4 - 3(1 – x)

Nοw simplifying the inequality then,

=> 7-2( x + 2) <-4 - 3(1 – x)

=> 7-2x-4 < -4-3+3x

=> 3-2x < 3x-7

=> -2x -3x < -7-3

=> -5x < -10

Hence the simplified fοrm οf the inequality is  -5x < -10.

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Answer:

d = 225 m

Step-by-step explanation:

Initial speed, u = 5 m/s

Final speed, v = 40 m/s

Time, t = 10 s

Acceleration,

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{40-5}{10}\\\\a=3.5\ m/s^2\)

Let d is the distance covered. Using second equation of motion to find it i.e.

\(d=ut+\dfrac{1}{2}at^2\\\\d=5\times 10+\dfrac{1}{2}\times 3.5\times 10^2\\\\d=225\ m\)

So, it will cover 225 m.

Answer:

3 and 1/3 because 7 minus 3 and 1/3 equals 3 2/3 or you could also do 3+3=6 and 2/3+1/3=1 and 1+6=7

The distance between -7 and -3 2/3 on the number line is 3 1/3

The numbers are given as:

-7 and -3 2/3

Calculate the absolute difference between both numbers

d = |-7 + 3 2/3|

Evaluate the difference

d = | 3 1/3|

Evaluate the absolute value expression

d = 3 1/3

Hence, the distance between -7 and -3 2/3 on the number line is 3 1/3

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Answer:

100 is the correct answer. I've checked it for you. :)

Answer:

m<1=120

Step-by-step explanation:

A linear pair adds up to 180 degrees.

So <1+<2=180

Let <2=X, that would make <1=2X because <1 is 2 times more.

So substitute that into the equation.

2x+x=180.

Combine like terms and get 3x=180

Divide both sides by 3 and get x=60.

Substitute that into <1 and get <1=120

Answer:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))

Step-by-step explanation:

Solve for t:

z = (h t^2)/2 + t q_1

z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:

(h t^2)/2 + t q_1 = z

Divide both sides by h/2:

t^2 + (2 t q_1)/h = (2 z)/h

Add q_1^2/h^2 to both sides:

t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2

Write the left hand side as a square:

(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2

Take the square root of both sides:

t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)

Subtract q_1/h from both sides:

Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))