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2 years ago

The price of a plane ticket has increased from $150 to $200. By what percent has the price increased?

2 answers:

4 0

There is a formula to figure out questions like this:

The price difference/ the original price and times the whole equation by 100 (to get the percentage).

> ($50/$150) x 100 = 33% (rounded)

White raven [17]2 years ago

4 0

Answer:

The answer is the option C

$33\%$

Step-by-step explanation:

we know that

$\$150$ ------> represent the $100\%$

by proportion

Find what percent has the price increased

$\frac{100}{150}\frac{\%}{\$}=\frac{x}{200-150}\frac{\%}{\$} \\ \\x=(200-150)*100/150\\ \\x=50*100/150\\ \\x=33.33\%$

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The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?

Ierofanga [76]

Answer:

Option b

Step-by-step explanation:

A function is even if and only if f(-x) = f(x).

This means that there is the same value of y for $x_0$ and for $-x_0$

Where $x_0$ is any point belonging to the function .

Therefore you must select a graph whose ordered pairs are of the form $(x_0, y_0)$ and $(-x_0, y_0)$

Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.

8 0

3 years ago

Helpppp. I don’t understand

Pie

Multiply 2^(-5) by 2^6. The correct result is 2^1, or just 2 (inches).

7 0

3 years ago

2. A man drove 240 miles south at the rate of 60 miles per hour. On the return trip, he drove the rate of 40 miles per hour. The

shutvik [7]

$av = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}$

$t_{1} = \frac{d}{v_{1}} = \frac{240}{60} = 4 \: hours \\ t_{2} = \frac{d}{v_{2}} = \frac{240}{40} = 6 \: hours$

$av = \frac{v_{2} - v_{1}}{t_{2} - t_{1}} = \frac{40 - 60}{6 - 4} = \frac{ - 20}{2} = - 10$

$av \: speed= 10 \\ av \: velocity = - 10 \: \: north$

3 0

1 year ago

Read 2 more answers

One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independ

Illusion [34]

Question has missing details

One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is 0.05. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly?

Answer:

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

Step-by-step explanation:

Given

Let P = Probability that a point signals an error incorrectly = 0.05

Let Q = Probability that a point signals an error correctly

P + Q = 1 ---- Make Q the subject of formula

Q = 1 - P where P = 0.05

So, Q = 1 - P becomes

Q = 1 - 0.05

Q= 0.95

Solving for the probability that at least one of 10 successive points indicates a problem when in fact the process is operating.

If two events (P and Q) are independent

Then

P(P n Q) = P(P) * P(Q)

From De Morgan law;

P(P u Q) = 1 - P(P' n Q')

Where P(P u Q) represent the probability that at least one of 10 successive points

P(P' n Q') is calculated as follows;

P(P' n Q') = 0.95^10

P(P' n Q') = 0.59873693923837890625

So,

P(P u Q) = 1 - P(P' n Q') becomes

P(P u Q) = 1 - 0.59873693923837890625

P(P u Q) = 0.40126306076162109375

P(P u Q) = 0.4013 ----- Approximated

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

7 0

2 years ago

A² + b² = 7b and b² + (2b-a)² = 7² find (a - b)².

Mamont248 [21]

Answer:

(a - b)^2 = 49 - 4b^2 +2ab

Step-by-step explanation:

Given: a^2 + b^2 = 7b (assuming A is really “a”)

b^2 + (2b - a)^2 = 7^2

Find; (a - b)^2

Plan: Use Algebraic Manipulation

Start with b^2 + (2b - a)^2 = 7^2 =>

b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.

a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms

a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>

a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2

(a - b)^2 = 49 - 4b^2 +2ab

Double Check: recalculated ✅ ✅

(a - b)^2 = 49 - 4b^2 +2ab

4 0

2 years ago