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saw5 [17]
2 years ago
11

1.

Mathematics
1 answer:
alex41 [277]2 years ago
4 0

Answer:

2

Step-by-step explanation:

slope = Δy/Δx

slope = 6/3

slope = 2

hope this helps :)

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Alex wrote the expanded form for the number 165.038 as "100 60 5 30 8." was he correct? if not, give the correct expanded form.
grin007 [14]

The expanded form for the number 165.038 is 100+60+5+0.03+0.008.

<h3>What is the expended form of decimal numbers?</h3>

Writing decimals in expanded form simply means writing each number according to its place value. This is done by multiplying each digit by its place value and adding them together. Let's look at an example: 2.435. In words, we would say this as two and four hundred thirty-five thousandths.

In the given question expended form 100+60+5+30+8 is wrong.

After decimal point the first digit is at the tenth place and second digit at the hundredth place and third is at the thousandth place and so on....

165.038  = 100+60+5+\frac{0}{10}+\frac{3}{100}+\frac{8}{1000}            

              = 100+60+5+0.03+0.008

Hence, The correct expended form of the given number is 100+60+5+0.03+0.008.

To learn more about expended form from the given link:

brainly.com/question/603715

#SPJ4

5 0
1 year ago
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
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Olegator [25]

Answer:3333333333333333Step-by-step explanation:

4 0
3 years ago
What is the line of symmetry of the parabola y=x2+6x-9?
Rzqust [24]
First we have to find the vertex (h,k) h is also x and it also is the a xis symmetry

1st: group the number
(X2+6x)-9

2nd: use b/2

6/2 = 3 , 3^2= 9

(X2+6x+9)-9-9

(X2 + 3)-18

Vertex is 3,-18 so the symmetry is 3
5 0
3 years ago
Rick's car gets 29.7 miles per gallon of gasoline when driving on the highway. If his fuel tank holds 10.45 gallons of gasoline,
Kazeer [188]

Answer:

310.365 miles

Step-by-step explanation:

10.45*29.7=310.365

7 0
2 years ago
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