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Anastasy [175]
3 years ago
11

Square root 2 is between 1.4 and 1.5

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0
1.4 < \sqrt2 < 1.5-TRUE,\ because\\\\1.4=\sqrt{1.4^2}=\sqrt{1.96} < \sqrt2\\\\1.5=\sqrt{1.5^2}=\sqrt{2.25} > \sqrt2
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At Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the res
Marina86 [1]

Answer:

Probability that their hair was done by Amy is 0.475.

Step-by-step explanation:

We are given that Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the rest are done by Amy.

Let the Probability of hair cutting done by Chris = P(C) = 0.36

Probability of hair cutting done by Karine = P(K) = 0.26

Probability of hair cutting done by Amy = P(A) = 0.368

Also, let NS = event that customer is not satisfied with his cutting

So, Probability that customers are not satisfied given that their hair cutting is done by Chris = P(NS/C) = 0.05

Probability that customers are not satisfied given that their hair cutting is done by Karine = P(NS/K) = 0.06

Probability that customers are not satisfied given that their hair cutting is done by Amy = P(NS/A) = 0.08

Now, a customer leaving the salon is selected at random. If the customer is not satisfied, the probability that their hair was done by Amy is given by = P(A/NS)

For finding the above probability we will use the concept of Bayes' Theorem;

SO, P(A/NS)  =  \frac{\text{P(A) \times P(NS/A)}}{\text{P(C) \times P(NS/C) + P(K) \times P(NS/K) +P(A) \times P(NS/A) }}\frac{P(A) \times P(NS/A) }{P(C) \times P(NS/C) +P(K) \times P(NS/K) +P(A) \times P(NS/A) }

                     =  \frac{0.38 \times 0.08}{0.36 \times 0.05+0.26 \times 0.06+0.38 \times 0.08}

                     =  \frac{0.0304}{0.064}

                     =  <u>0.475</u>

<em>Hence, the probability that their hair was done by Amy is 0.475.</em>

3 0
3 years ago
Which logarithmic equation is equivalent to 2^5=32?
kolbaska11 [484]

Answer: 5=log_{2}(32)


Step-by-step explanation:

1. By definition, you have if y=b^{x}, then x=log_{b}(y)

2. Keeping this on mind, you must follow the proccedure shown below:

- You have that:

2^{5}=32

Where:

x=5\\y=32\\b=2

- Substitute values into x=log_{b}(y). Then, you obtain:

5=log_{2}(32)


6 0
3 years ago
Read 2 more answers
Find the unit rate for each person's typing test in words per second 0.5 words/second is the unit rate for James. 3 words/second
Salsk061 [2.6K]

Unit rates is the rate of a quantity in comparison to 1 i.e. unit.

Based on the given parameters, Shanya is the fastest typist

From the question, the unit rates are given as:

  • James: 0.5 words per second
  • Shanya = 3 words per seconds

The unit rates of Tristan and Ebony are not given.

So, we compare the rates of James and Shanya

3 words in a second is greater than 0.5 words in a second.

Hence, Shanya is the fastest typist

Read more about unit rates at:

brainly.com/question/11848573

4 0
2 years ago
What is the domain of the function y=2 x-5?<br> O x&gt;-5<br> O x&gt;2<br> O x&gt;5<br> O x&gt;10
antiseptic1488 [7]
That’s a good one Because what is the domain of the function Y equals 2X
3 0
3 years ago
Question 2
Dima020 [189]

Answer:

1 is answer

Step-by-step explanation:

2*3/5*3___6/5

7 0
2 years ago
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