A manufacturer is doing a quality control check of the laptops it produces. Out of a random sample of 145 laptops taken off the production line, 6 are defective. Which THREE statements are true?

A
It is not a reasonable estimate that 0.5% of all laptops produced will be defective.

B
It is a reasonable estimate that 4% of all laptops produced are defective.

C
The percentage of defective laptops across additional random samples of 145 laptops is likely to vary greatly.

D
The percentage of defective laptops for a random sample of 290 laptops is likely to be twice as high as that of the original sample.

E
It is not a reasonable estimate that 10% of all laptops produced will be defective.

The highest value you would still hold the stock is $23.97

From the question, the given parameters about the distribution are

Mean value of the set of data = $26.94

Standard deviation value of the set of data = $3.54

Proportion = Highest 20%

This means that the p value is

p = 20%

Express as decimal

p = 0.2

At a p value of 0.2, the z-score is

z = -0.84

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

-0.84 = (x - 26.94)/3.54

Cross multiply in the above equation

So, we have

x - 26.94 = -0.84 * 3.54

Evaluate the products

x - 26.94 = -2.97

Add 26.94 to both sides of the equation

So, we have the following representation

x = 26.94 -2.97

Evaluate the difference

x = 23.97

Hence, the highest value is 23.97

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From the given choices, I presume that this is in relation to the ways of finding if the triangles are congruent.

Unfortunately, the question is incomplete, we need to see the diagram and the correct symbols used in the relationships.

On the brighter side, to help you with this, I'll give you a further understanding of the choices for you to be guided in answering this question.

A. Side-Angle-Side

- The triangles are congruent if the two of their corresponding sides and the included angle are equal.

B. Angle-Angle-Side

- The triangles are congruent if the two of their corresponding angles and the non-included sides are equal.

C. Angle-Side-Angle

- The triangles are congruent if the two of their corresponding angles and the included side are equal.

D. Side-Side-Side​

- The triangles are congruent if all sides of the two triangles are equal.

Apply this to the question so that you could identify which rule perfectly fits the given relationships.

The expected number of M&M's in the bag is 308

The parameters that complete the question are:

Number of blue pieces = 4

Total = 15

From the question, the number of blue pieces is:

Blue = 82

Let the total number of M&M be M.

So, we have:

Blue = Number of blue/Total * M

This gives

82 = 4/15 * M

Multiply both sides by 15/4

15/4 * 82 = M

Evaluate

M = 307.5

Approximate

M = 308

Hence, the expected number of M&M's in the bag is 308

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Answer:

1.1 - 0.7w

Step-by-step explanation:

hope this helps    (～o￣3￣)～

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer

False

Step-by-step explanation:

Cause i got it right on edge :)

Answer:

False

Step-by-step explanation:

you multiply .042 to 63.79 because 4.2 is the percentage.

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

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Answer:

-4.1

Step-by-step explanation:

5.7-9.8= -4.1

9514 1404 393

Answer:

  zero solutions

Step-by-step explanation:

The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.

The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.

There is a gap between the shaded areas, so no points will be solutions to both inequalities.

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

Answer:

Answer: meee

Step-by-step explanation: Hunterx.Hunter, Jujutsu Kai.sen, T.okyo Reveng.ers, De.ath Note, Noble.sse, and some more others l.ol

Answer:

[-infinity, 4]

Step-by-step explanation:

-9x + 3 >= -33
-9x >= -36

x<=4 (sign switched because of dividing both sides by a negative integer in an inequality)
Therefore, x is less than or equal to 4

[ - infinity, 4]

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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Answer:

m = undef

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in our coordinates into the formula:

m = (-11 - 8)/(4 - 4)

m = -19/0

m = undef

The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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9514 1404 393

Answer:

  a and b are positive.

Step-by-step explanation:

The form is ...

  IF <hypothesis>, THEN <conclusion>

The hypothesis is the wording between IF and THEN. In your given statement it is ...

  a and b are positive

As a result, we deduce that 101 tickets were sold to adults and 171 to students after solving the algebraic equations.

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.

So on the information provided to us:

we know that the total amount of the tickets sold =1694$

total no. of people = 272

Lets assume the no. of kids to be y and the adults to be x

So the first equation we get for the total no. of people is:

x+y=272...(i)

the next equation we get for the total amount of tickets sold will be equal to the no. of adults and  children multiplied by the cost of each adult and child respectively :
7x+4y=1694....(ii)

Two solve both equations simultaneously , we multiply equation i with 4

we get:

4x+4y=1088

7x+4y=1694

on solving both the equations simultaneously we get

3x=606

x=101

putting value of x in equation (i) we get

y=171

Therefore, we conclude that the no. of tickets sold to adults were 101 and to students were 171.

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The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;

\(y = 10^{16}\)

y = 10,000,000,000,000,000.

y = x² - 17x + 182

y = 16² - 17(16) + 182

y = 256 - 272 + 182

y = 166.

\(y = 1.17^x\\\\y = 1.17^{16}\)

y = 12.330304108137675851908392069373.

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For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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Answer:

we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

Step-by-step explanation:

We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

NEED MORE EXPLANATION?

The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.

Juan must add a volume of 7 cubic feet for the enlarged sandbox.

The volume occupied by the sandbox (V), in cubic feet, is represented by the volume formula for a parallelpiped:

V = w · l · h

Where:

Juan wants to know the additional amount of sand required for the enlarged sandbox. If we know that the initial volume is equal to a cubic foot and each length is double, then we find that the resulting volume for sandbox is:

V' = (2 · w) · (2 · l) · (2 · h)

V' = 8 · (w · l · h)

V' = 8 · V

V = 8 ft³

The addition of sand is found by the following subtraction:

ΔV = V' - V

ΔV = 8 ft³ - 1 ft³

ΔV = 7 ft³

An additional volume of 7 cubic feet is needed for the sandbox.

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The weights of coins in a bag.......Not discrete

The number of cars that pass through an intersection each hour....Discrete

The times required by students to complete a test....Discrete

The speeds of cars as they pass through an intersection I don't know.....Not discrete

Answer:

1,757,600.

Step-by-step explanation:

I am assuming you are allowing duplicates.

Number of possible letters = 26^3

Possible numbers = 10^2

Number of unique Ids = 10^2 * 26*3

= 1,757,600.

Answer:

50 minutes

Step-by-step explanation:

x=9

(5x9+5)+9+13=72

50+9+13=72

59+13=72

5x9=45

45+5=50

Answer:

16 days

Step-by-step explanation:

multiply 8 by 2 because he is eating 1 bag of chip over the course of 2 days

Answer:

in 16 days he will run out of chips