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Ksivusya [100]
3 years ago
11

128.09 to the nearest tenth

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

128.1

Step-by-step explanation:

Since this is rounding to the nearest tenth , we look at the first number after the decimal place it's 0 so we look at the second number after the decimal place which is 9 , this rounds 0 up to 1

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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
-2x+3=9. What does x equal?
Dimas [21]

Answer:

<h2>x= -3</h2>

Step-by-step explanation:

- 2x + 3 = 9 \\  - 2x = 9 - 3 \\  - 2x = 6 \\  \frac{ - 2x}{ - 2}  =  \frac{6}{ - 2}

x =  - 3

3 0
3 years ago
Read 2 more answers
Communicate Mathematical Ideas Find the area of the figure. Explain how you found your answer. 10 ft 16 ft 12 ft 18 ft
sveta [45]
<h3>Answer:  300 square feet</h3>

Explanation:

The trapezoid has area of

A = h*(b1+b2)/2

A = 6*(10+18)/2

A = 84

The rectangle is 18 ft by 12 ft, which leads to an area of 18*12 = 216 sq ft.

Adding the two sub-areas gets us: 84+216 = 300

The total area of the house-shaped figure is 300 sq ft.

5 0
2 years ago
1. You purchase a bag of chips that cost $4. The sales tax is 6.5% what will be the total cost.
Yuliya22 [10]

Answer:

the first one is 3.74 and the second one is 6%

its basic percent subtraction

Step-by-step explanation

6 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=16x%20-%20%288x%20%20%2B%206%29%20%3D90" id="TexFormula1" title="16x - (8x + 6) =90" alt="16x
Lina20 [59]

Answer:

x=12

Step-by-step explanation:

16x - (8x  + 6) =90

The first step is to distribute the - sign

16x -8x -6 =90

Now we combine the like terms

8x-6 = 90

Add 6 to each side

8x-6+6 = 90+6

8x = 96

Divide each side by 8

8x/8 = 96/8

x =12

8 0
3 years ago
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