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sergey [27]
3 years ago
15

Some doctors recommend that men drink 2.5 liters of water every day. There are approximately 29.8 millimeters in 1 fluid ounce.

Which measurement is closest to the number of fluid ounces in 2.5 liters? A. 84 fl oz B. 74 fl oz C. 32 fl oz D. 12 fl oz
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer:

A

Step-by-step explanation:

First step, convert liter to millimetres

1l - 1000mm

2.5 x 1000 = 2500 mm

2. convert mm to fluid ounce

2500 / 29.8 = 84

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Does anyone know how to factor y^2+49?
Delvig [45]

Answer:

(y + 7i)(y - 7i)

Step-by-step explanation:

It cannot be factored using real numbers, but consider

7i × - 7i

= -49i² and i² = - 1

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The factoring as a difference of squares to obtain

y² + 49 = (y + 7i)(y - 7i)

5 0
3 years ago
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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

6 0
3 years ago
Cam has 32 dollars. How many roses can he afford to buy?
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Answer:

8 roses

Step-by-step explanation:

roses cost about 4 dollars, and 8 times 4=32

6 0
3 years ago
Assume 3 in every 1000 students at a local community college have quit due to serious health issues. An insurance company offers
worty [1.4K]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

 <span>E(X) = 50*1 - 3*8000/10000 
E(X) = 50 - 24 = $26 per year</span>
4 0
3 years ago
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Analyze the diagram below and complete the instructions that follow. Find the area of QRS.
11Alexandr11 [23.1K]

<u>Answer-</u>

<em>The area of QRS is </em><em>238.7</em><em> sq units.</em>

<u>Solution-</u>

According to properties of supplementary angles,

m\angle R+124=180\\\\m\angle Q+132=180

So,

\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48

As the sum of measurement of all the angles in a triangle is 180, so

\Rightarrow m\angle S+m\angle R+m\angle Q=180

\Rightarrow m\angle S=180-m\angle R-m\angle Q

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Then the area of the triangle will be,

\text{Area}=\dfrac{1}{2}qr\sin S

=\dfrac{1}{2}\times 21\times 23.43\times \sin 76

=238.7\text{sq.units}

8 0
3 years ago
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