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4 years ago

9

You select a card at random from the cards that make up the word REPLACEMENT. On each card, there is one letter. Without replaci

ng the card, you choose a second card. Find the probability of choosing a vowel and then not a vowel.

1 answer:

elena-14-01-66 [18.8K]4 years ago

8 0

Answer:

4/11 you will get a vowell and 6/11 you will get a constant

Step-by-step explanation:

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Please answer the following questions 1 2 and 3 with showing your work fully!

spayn [35]

Answer:

1. Point of intersection = (4, 360)

2. (4, 360) number of hours and the total cost of the repairs is the same for both repair shops

3. Amy's Auto Repair: $280

Step-by-step explanation:

1. y = 100 + 65x and y = 40 + 80x

Equate the equations and solve for x:

y = y ⇒ 100 + 65x = 40 + 80x

subtract 65x from both sides ⇒ 100 = 40 + 15x

subtract 40 from both sides ⇒ 60 = 15x

divide both sides by 15 ⇒ 4 = x

Therefore, x = 4

Substitute x = 4 into either of the equations to find y:

⇒ y = 40 + (80 x 4) = 40 + 320 = 360

Point of intersection = (4, 360)

2. The two lines intersect at (4, 360)

In this context, the point of intersection is where the number of hours and the total cost of the repairs is the same for both repair shops.

3. Substitute x = 3 into the equations and compare:

Mike's repair shop: y = 100 + (65 x 3) = 295

Amy's auto repair: y = 40 + (80 x 3) = 280

Therefore, Amy's Auto Repair is the cheapest (as 280 < 295) and the cost is $280.

5 0

3 years ago

Find x. (The figure is not drawn to scale.)

ladessa [460]

23 bhfhcjvufhfvufyfdydydculcho

7 0

3 years ago

Which relationships describe the angle pair x° and 157º?

katrin2010 [14]

Adjacent and supplementary :))

4 0

2 years ago

Read 2 more answers

According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume t

Ad libitum [116K]

Answer:

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

What is the probability that a household in Maryland has an annual income of X or more?

The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean income and $\sigma$ is the standard deviation of incomes.

6 0

3 years ago

How do I solve systems of equations? I was absent and the test is next week!

MrRa [10]

Well, there are three different ways to solve systems of equations:
a) Graphing
b) Substitution
c) Elimination

Graphing:
If your system of equations are written in slope-intercept form (y=mx+b "m" being the slope and "b" being the y-intercept) its quite easy.
The y-intercept is pretty much where your line touches the y-axis so if your first equation is: y=3x-2 then you will put your first point on (0,-2). Then from that point you follow the slope. if the slope is 3 then you'll rise 3 and run 1 (go three times up and one to the right and put your point right there) till you feel you have enough points to make a line. You do the same process with your second equation.

Substitution:
This is best when you have a system of equations in which an equation tells you what x or y are equal to. For example: if I have "4x+2=y" and "2y+3x= 26" you can "replace" your "2y" with the equation "4x+2=y" which gives you a brand new equation: " 2(4x+2)+3x=26". To solve this you do the distributive property and link like terms which gives you the equation "11x+4=26". Then you solve like a normal equation, isolating x and then you'll get the value of x (in this case x=2). Now you go to the first equation "4x+2=y" and replace "x" to its value (in this case it's 2) and you get y (in this example, y=10).

Elimination:
I think this one is one of the easiest methods. Let's say my systems of equations is "5x-6y=-32" & "3x+6y=48". If you take a look at y's coefficients, you see they are the same. So you can "cancel them out" like this:
5x-6y=-32
+ 3x+6y=48
-----------------------
8x=16 <-------- when you get this, you can solve like a normal equation
x=2

Also, if you have, for example:
2x+6y=190 & 2x+3y=130
You can solve this by: canceling x or multiplying the second equation by 2 and canceling y.
I'm gonna show you how to do the second way (multiplying and canceling y)
My second equation is "2x+3y=130". To get an equivalent equation, I just have to multiply the whole equation by any number. If I want to cancel y, then I have to multiply by 2.
So "2x+3y=130" turns into "4x+6y=260"
Now you follow the same procedure as before:
2x+6y=190
- 4x+6y=260
-------------------------------
-2x= -70
2x=70--------> x=35
Then you pretty much follow the substitution method by replacing "x" to "35" in one of the equations.

Hope this covers all you missed in class. If you have any questions you can comment them here or message me. :D Good luck in your exam!!!

5 0

3 years ago