Apply the distributive property to create an equivalent expression.

The sum of two numbers is 35. There times the larger number is the same as 4 times the smaller number. Find the larger number. W

marshall27 [118]

35 = x + 4 -4
31 = x

4 0

3 years ago

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

Which of the following are examples of exponential decay? select all that apply.

Katarina [22]

B, C and D are exponential decay.

Half-lives are given by exponential function, and since they are decreasing, it is decay.
With the teams being eliminated, this is decay.
Bacteria can be represented by exponential functions, and it is decreasing.

5 0

3 years ago

Find X:<br><br> Solving Linear Equations With A Variable On Only One Side Of The Equation.

soldi70 [24.7K]

Answer:

x = 22 (see explanation!)

Step-by-step explanation:

Just with any algebraic equation, you will want to isolate the variable (x). Here's a step-by-step to show you how it's done:

1/7(x + 6) = 4

Multiply by 7 to get rid of the 1/7 (since 7 * 1/7 = 7/7 = 1)

7*1/7(x+6) = 7*4

x+6 = 28

Now, subtract 6 from both sides to isolate x:

x + 6 - 6 = 28 - 6

Finally:

x = 22

4 0

3 years ago

Read 2 more answers

WILL MARK BRAINLIEST IF YOU GET ALL THREE!!!!!!! ANSWER AS MANY AS POSIBBLE 1. How can you determine whether an answer to a prob

weeeeeb [17]

Answer:

1) yes and no you cant tell most the time but using common sense you can tell.

2)Yards, feet, inches, pounds, quarts, and miles are all part of the English system of measures. they are related because they all deal with unit of distance

3), the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers. they are related because they also deal with distance in metrics.

Step-by-step explanation:

3 0

3 years ago