Bob is doing a quality test on machine bolts. He tested 24 bolts that he randomly picked and found that 5 were defective Based on Bob's results, what is the expected number of bolts that will be defective if he tests 840 bolts?​

Answer:

25 * 30= x

x= total number of candies

The smallest number by which 2068 must be multiplied to make perfect square is 1080

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We have to find the smallest number by which 2068 must be multiplied to make perfect square.

Then, Let the number be 1080 .

So,

2068 x 1080 = 2,233,440

2,233,440 = perfect square

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Answer:

x = 4

Step-by-step explanation:

5x - 3 + x = 21

6x - 3 = 21

6x = 24

x = 4

Answer:

81 points

Step-by-step explanation:

8/9 = 72 / x

8 goes into 72, 9 times

9 times 9 is 81

I'm sorry if the explanation doesn't make sense. I hope this helps!

Answer:

-11-(-5)= -6

25-(-3)= 28

-7-(-2)= -5

4-15= -11

6-(-9)= 15

Answer:

d = 10mm

r = 5mm

Step-by-step explanation:

the radius is half way across the circle which is given to you so the radius is 5mm. whereas as the diameter is the full way across the circle so it is double the radius so in this case the diameter is 10mm.

Answer:

5.1 :)

Step-by-step explanation:

Answer:

The slopes are the same and the y intercept are the same.

Step-by-step explanation:

In ordwe for a line to have infinitely many solutions they must be the exact same line.

Answer: If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system.

Step-by-step explanation: I hope that Helps!

Answer:

12(x) + 20

Step-by-step explanation:

x represents the amont of dogs and the +20 is the flat fee.        

Answer:

The dimension of box=[tex]2ft\times 2ft\times 1ft[/tex]

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=[tex]lbh=x^2h[/tex]

[tex]4=x^2h[/tex]

[tex]h=\frac{4}{x^2}[/tex]

Now, surface area of box,A=[tex]x^2+4xh[/tex]

[tex]A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}[/tex]

[tex]\frac{dA}{dx}=2x-\frac{16}{x^2}[/tex]

[tex]\frac{dA}{dx}=0[/tex]

[tex]2x-\frac{16}{x^2}=0[/tex]

[tex]2x=\frac{16}{x^2}[/tex]

[tex]x^3=8[/tex]

[tex]x=2[/tex]

[tex]\frac{d^2A}{dx^2}=2+\frac{32}{x^3}[/tex]

Substitute x=2

[tex]\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0[/tex]

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=[tex]\frac{4}{2^2}=1 ft[/tex]

Hence, the dimension of box=[tex]2ft\times 2ft\times 1ft[/tex]

Step-by-step explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

Answer:

0.5(n+1)

Step-by-step explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

Answer:

its C) 14 + 77 = 7(2 + 11)

Step-by-step explanation:

because d is associative property, a is addition, B is commutative property and ONLY c showed distributive property

hope it helps :)

Answer:

-168

Step-by-step explanation:

14(5−11)(2)

=(14)(−6)(2)

=(−84)(2)

=−168

Plug the number for the x value and then solve the equation.

Answer:

4

Step-by-step explanation:

0, 1, 3, 4, 4, 6, 6, 8

Cross off each side until you get to the middle

1, 3, 4, 4, 6, 6

3, 4, 4, 6

4, 4

You add the 4 and 4 together

8

then divide by 2

8/2=4

Your answer is 4, hope this helped!!!!

Answer:

V= 201.1

Step-by-step explanation:

Step-by-step explanation:

I can only answer part 2 of your question, "If we multiply two positive numbers, is the result positive or negative?". if you multiply 2 positive numbers your answer would be positive.

If we multiply two positive numbers, then the result is also positive.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that If a car is traveling east when it passes the camera, then;

the position be positive 60 seconds after it passes the camera.

Therefore, If we multiply two positive numbers, then the result is also positive.

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Answer:

The minimum sample size should be of 381.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Without any prior knowledge of the proportion, what should be our minimum sample size

We dont know the population proportion, so we use [tex]\pi = 0.5[/tex], which is when the largest sample size is needed. We have to find n for which [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.95\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.95*0.5[/tex]

[tex]\sqrt{n} = \frac{1.95*0.5}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.95*0.5}{0.05})^2[/tex]

[tex]n = 380.25[/tex]

Rounding up

The minimum sample size should be of 381.

Answer:

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will stop working. A) 0.073 B) 0.795 C) 0.867 D)0.205

Answer:

182 boys

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

Step-by-step explanation:

There are 4 sides that will be 7cm×2cm

14cm x 4 = 56cm

2 sides which are 2cm × 2cm = 4cm

4cm × 2 = 8cm

56cm + 8cm =

64cm squared

Answer:1-3:3

Step-by-step explanation:

Answer:

A y=2x + 3

Step-by-step explanation:

Answer:

The answer is A. (y = 2x + 3)

Step-by-step explanation:

Since its talking about $3 plus $2 per dog it would make sense to pick

y = 2x + 3 because 2x represents the number of dogs and how it costs $2 per dog while the 3 represents how it also cost $3 plus the $2.

Answer:

Hi

Step-by-step explanation:

Answer:

6. Find the product for both sets of polynomials below by multiplying vertically. (4 points: 2 points for each product)

A)

4x^4 - 4x^3 - 16x^2 + 16x

B)

4x^4 - 4x^3 - 16x^2 + 16x

7. Are the two products the same when you multiply them vertically? (1 point)

Yes, the two products are the same when you multiply them.

Making a Decision:

8. Who was right, Emily or Zach? Are the products the same with the three different methods of multiplication? (1 point)

Emily was right, the products are the same with all three different methods of multiplication.

9. Which of these three methods is your preferred method for multiplying polynomials? Why? (1 point)

I prefer the table method because it is easier to understand what is going on, know where and what to do, and it is nicely and neatly laid out in front of me.

Answer:

Beautiful

Step-by-step explanation:

love them

.....

Answer:

4/8

Step-by-step explanation:

Answer:

It is the first graph to the left

Step-by-step explanation:

because basically it is saying that it is -1/-2 rise over run