Off the production line, there is a 4.6% chance that a candle is defective. If the company selected 50 candles off the line, what is the standard deviation of the number of defective candles in the group?

Answers

Answer 1
Answer:

Answer: 1.48

Step-by-step explanation:

From binomial distribution, the formula to find the standard deviation is given by :-

\sigma=√(np(1-p)), where n is the sample size and p is the proportion of success.

Given : The percent of chance that a candle is defective. If the company selected 50 candles off the line : 4.6%

i.e. The proportion of success : p=0.046

Sample size : n=50

Then, Standard deviation = \sigma=√(50(0.046)(1-0.046))

\sigma=1.48128322748\approx1.48

Hence, the standard deviation of the number of defective candles in the group=1.48


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1. SPOTLIGHTS Ship A has coordinates (–1, –2) and Ship B has coordinates (–4, 1). Both ships have their spotlights fixated on the same lifeboat. The light beam from Ship A travels along the line y = 2x. The light beam from Ship B travels along the line y = x + 5. What are the coordinates of the lifeboat?

Answers

Answer:

( 5 , 10 )

Step-by-step explanation:

Solution:-

- There are two ships, A and B, currently located by their respective coordinates in the cartesian coordinate system:

          Position of ship A: ( - 1 , -2 )

          Position of ship B: ( -4 , 1 )

- Both ships try to locate a lifeboat. The spotlights used by each ship are modelled as straight line functions of cartesian coordinate originating from their respective ships.

- Spot lights for each ship were able to locate the same lifeboat. The respective spotlights are modelled by the following functions:

         Spotlight Ship A: y = 2x

         Spotlight Ship B: y = x + 5

- To locate the position of the lifeboat with respect to the origin ( 0 , 0 ) we will use the spotlight model functions and equate them. This is because the spotlights must converge or meet at the position of lifeboat provided the lifeboat is found by both ships.

- Therefore,

       

         Spotlight A = Spotlight B

         y = 2x = x + 5

         2x = x + 5

         x = 5 , y = 10

Answer:The two spotlight meet at the coordinates ( 5 , 10 ). This is also the position of the lifeboat located by both the ships.

       

Simplify the expression:
3+ – 5(4+ – 3v)

Answers

Answer:

The answer is

15v - 17

Step-by-step explanation:

3+ – 5(4+ – 3v) can be written as

3 - 5( 4 - 3v)

Expand and simplify

That's

3 - 20 + 15v

15v - 17

Hope this helps you

7cm is less than or greater than 3in

Answers

7 cm is less than 3 inches. 7 cm = 2.75 inches

HELP! Click on the png if your willing to save me from eternal pain!

Answers

Answer:

The correct answer is 2.75

Step-by-step explanation:

I hope I saved you from internal pain! (∩^o^)⊃━☆(ノ◕ヮ◕)ノ*:・゚✧✪ ω ✪

The correct awnser is b I think

Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximatelyinches. Enter only the number.

Answers

The area of the circle is 379.94 square inches.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the area of a circle with a radius of 11 inches.

Here, area of a circle is

A=3.14×11²

= 3.14×121

= 379.94 square inches

Therefore, the area of the circle is 379.94 square inches.

Learn more about the area of a circle here:

brainly.com/question/28642423.

#SPJ5

Answer:

A = 379.94 square inches

Step-by-step explanation:

The area of a circle equation is:

A = pi *  r^2

Fill in what you know and solve:

A = 3.14 * 11^2

A = 3.14 * 121

A = 379.94

17.Find the value of k that will make 4x² – 12x + k a perfect square trinomial.
k =
Enter your next step here
-
G
O Tool

Answers

Solution:

Using formula (a-b)^2 = a^2-2ab+b^2

4x^(2) - 12x + k \n = > (2x) ^(2) - 2(2x)(3) + {3}^(2) \n \n = > {(2x)}^(2) - 2(2x)(3) + 9

Answer:

k = 9

Answer:

Using formula (a-b)^2 = a^2-2ab+b^2

4x 2 −12x+k

=>(2x) 2 −2(2x)(3)+3 2

=>(2x) 2 −2(2x)(3)+9

=> k = 9