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Colt1911 [192]
3 years ago
10

Solve for the variable r in this equation: s = 2_rh

Mathematics
2 answers:
svp [43]3 years ago
3 0
I hope this helps you



s=2.r.h

r=s/2h
SIZIF [17.4K]3 years ago
3 0
The equation given in the question is not written properly. I am answering the question based on my thinking of the equation given in the question.

s = 2rh
Then
r = s/2h

I hope that this is the answer that you were looking for and the answer has actually come to your desired help. It you have any doubts, you can always ask for clarifications.
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2. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if
Darina [25.2K]

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

<h3>What is the binomial probability distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • About 30% of frozen chickens are contaminated, hence p = 0.3.
  • Chickens are delivered to grocery stores in crates of 24, hence n = 24.

The probability that a certain crate has <u>more than 4 contaminated</u> chickens is:

P(X > 4) = 1 - P(X \leq 4)

In which:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Then

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{24,0}.(0.3)^{0}.(0.7)^{24} = 0.0002

P(X = 1) = C_{24,1}.(0.3)^{1}.(0.7)^{23} = 0.0020

P(X = 2) = C_{24,2}.(0.3)^{2}.(0.7)^{22} = 0.0097

P(X = 3) = C_{24,3}.(0.3)^{3}.(0.7)^{21} = 0.0305

P(X = 4) = C_{24,4}.(0.3)^{4}.(0.7)^{20} = 0.0687

Hence

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0020 + 0.0097 + 0.0305 + 0.0687 = 0.1111

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0
2 years ago
Find the equation of the line that is parallel to the line y = -1/4x+ 5 passing through the point (4,2)​
cupoosta [38]

Answer:

y = -1/4x + 3

Step-by-step explanation:

Step 1: Write out known variables

m = -1/4

y = -1/4x + b

Step 2: Find <em>b</em>

2 = -1/4(4) + b

2 = -1 + b

b = 3

Step 3: Rewrite equation

y = -1/4x + 3

8 0
3 years ago
What are the x- and y- intercepts of the graph of 9x-3y = 18?
sineoko [7]

Step-by-step explanation:

9x - 3y = 18

Solve for y:

1. 3y= 9x + 18

2. y= 3x + 6 (This is the equation you will graph)  

To graph:  

Make a table for y = 3x +6.

If x =0, y=6

If x =1, y=9

If x =-1, y=3

You could get as many points as you like, however you need at least TWO, to be able to draw the line.

3 0
2 years ago
Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. Write an expression for the length, i
MrRissso [65]

Answer:The length of each piece of fabric is 1/8 yards.

Step-by-step explanation:

Corey has a piece of fabric that is 1/4 yard long. He cuts the length into 2 equal pieces. This means that he cut 1/4 yards of fabric into two equal pieces.

An expression for the length, in yards, of each piece of fabric will be

Let the length of the fabric be x in yards. Also, let the length of each piece of fabric be y in yards. It becomes

y = x/2

Since x = 1/4

y =( 1/4)/ 2 = 1/4 × 1/2

y = 1/8

The length of each piece of fabric is 1/8 yards.

4 0
3 years ago
Graph matching 50 Points!
Sloan [31]

Step-by-step explanation: To find the graphs, we look at the problem and the graph. Let's do it step-by-step.

No. 1 is y = 1/2.

To find the corresponding graph, we look closely at the graph.

Look at the 2nd graph. Do you see a dot by 1/2? I do!

So, No. 1 matches with the 2nd graph.

No. 2 is y = 2.

Like I said, we look closely at the graph.

Look at the 4th graph. Do you see a dot by 2? I do!

So, No. 2 matches with the 4th graph.

No. 3 is y = 4.

Now, we look closely at the graph.

Look at the 3rd and the 4th graph. Do you see a dot by 4? I do!

So, No. 3 matches with the 3rd and the 4th graph.

Lastly, No. 4 is y = 1/4.

Let's look closely at the graph.

Look at the 1st graph. Do you see a dot by 1/4? I do!

So, No. 4 matches with the 2nd graph.

Therefore, our answers are:

No. 1 matches with the 2nd graph

No. 2 matches with the 4th graph.

No. 3 matches with the 4th and the 3rd graph.

No. 4 matches with the 1st and the 2nd graph.

Download pdf
5 0
2 years ago
Read 2 more answers
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