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3 years ago

What is the slope of the graph? (Example: 2/3,-4,-2/9)

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

1/2 ; you must look at rise over run. It goes up by one, runs over 2. 1/2 is a half

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The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

Write 13,180,000 in expanded form

azamat

13,180,000 in expanded form is:

13,000,000 + 100,000 + 80,000

7 0

3 years ago

Read 2 more answers

A certain company's main source of income is selling cloth bracelets. The company's annual profit (in thousands of dollars) as a

tester [92]

Answer:

8 thousand dollars

Step-by-step explanation:

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

$P(x)=-2x^2+16x-24$

a=-2 and b = 16

$x= \frac{-b}{2a}= \frac{-16}{2(-2)} = 4$

Now we plug in 4 for x and find out P(4)

$P(x)=-2(4)^2+16(4)-24$ = 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4

6 0

3 years ago

Read 2 more answers

55 is what percent of 1,100 ?

lesya692 [45]

Answer:

Hello There!!

Step-by-step explanation:

55 is what percent of 1100? => 0.05.

hope this helps,have a great day!!

~Pinky~

4 0

3 years ago

HELP ME FIND X AND Y: 2x = 4y + 6 and 3x - y = -1

Naddika [18.5K]

Answer:

x = -1

y = -2

Step-by-step explanation:

To get y by itself:

3x - y = -1

-y = -1 - 3x

y = 1 + 3x

Solve for x with substitution:

2x = 4(1 + 3x) + 6

2x = 4 + 12x + 6

2x = 10 + 12x

-10x = 10

x = -1

Plug the x value into 3x - y = -1

3(-1) - y = -1

-3 - y = -1

-y = 2

y = -2

8 0

2 years ago

Read 2 more answers