Answer: A and D
Step-by-step explanation:
Dependent events mean that one event depends on the outcome of the previous event.
A) If the first roll is a 3, and we want to sum more than 7 with the second roll, then the possible outcomes 5 and 6. Now if the first roll is 4, then the possible outcomes for the second event will be 4, 5 and 6. So you can see how the outcome space of the second event changes depending on the first event, so the events are dependent.
B) Here we do not have dependence, each event only depends on it's own outcome.
C) Again, both events only depend on it's own outcome, so the events are not dependent.
D) This is similar as the case for A, these events are dependent because is not the same if the outcome of the first event is 3, than if the outcome is 5 (the outcome needed for the second roll changes depending on the outcome of the first event)
E) Same as B and C, the events are independent.
[tex] \frac{100}{1} = {10}^{x} [/tex]
Activity
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms? Complete the steps below to solve this problem and others like it.
Part A
Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.
Part B
Simplify the expression obtained in part A and explain what the answer represents.
Part C
Here’s a similar problem. Write an expression for the net change in charge if two electrons are added to each of six atoms in a group. Also, write an expression that represents removing two protons each from a group of six atoms.
Part D
Simplify the two expressions in part C.
Part E
How are the two products in part D related?
Part F
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.
Answer:
Step-by-step explanation:
A: The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
B: (-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12
The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.
C: Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).
D: (-2)(6) = (-1)(2)(6) = (-1)(12) = -12
(2)(-6) = (2)(6)(-1) = (12)(-1) = -12
E: The products are the same: -12.
F: If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
Answer:
A)
The charge of each electron is -1, so the charge of three electrons is -3. Removing something is denoted by a negative sign. The expression that represents the removal of three electrons from each of four atoms is (-3)(-4).
B)
(-3)(-4) = (-1)(3)(-1)(4) = (-1)(-1)(3)(4) = 12
The net change in the charge for the group of atoms is 12 (or +12); that is, the charge of the atoms increases by 12.
C)
Adding two electrons to each of six atoms results in a net change in charge of (-2)(6). Removing two protons from each of six atoms results in a net change in charge of (2)(-6).
D)
(-2)(6) = (-1)(2)(6) = (-1)(12) = -12
(2)(-6) = (2)(6)(-1) = (12)(-1) = -12
E)
The products are the same: -12.
F)
If the signs of the numbers are the same, the product is positive. If the signs of the numbers are different, the product is negative.
solved it on edmentum <3
Suppose the salaries of six employees are $3000,
$7000, $15,000, $22,000, $ 23,000, and
$38,000, respectively. What is the mean(average)
salary?
What is the range?
Answer: 17500
Step-by-step explanation: 7000 + 15000 + 22000 + 23000 +38000/ 6
The difference between a collection of numbers' highest and lowest values is known as the range.
The mean(average) salary exists 17500.
The range salary exists 35000.
What is meant by range?Range, which shows statistical dispersion, is the size of the smallest interval in descriptive statistics that encompasses all the data. It is best suited to capturing the dispersion of tiny data sets because it only depends on two observations.
The difference between the highest and lowest values for a given data collection is the 35000in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.
The salaries of six employees are $3000, $7000, $15,000, $22,000, $ 23,000, and $38,000.
a) Mean = Sum of terms / Number if terms
substitute the values in the above equation, we get
= 7000 + 15000 + 22000 + 23000 + 38000/ 6
= 17500
Therefore, the mean(average) salary exists 17500.
b) The maximum is $38,000 and the minimum is $3000 then the range exists
Range = maximum - minimum
substitute the values in the above equation, we get
Range = $ 38,000 - $ 3000
= $ 38,000 - $ 3000
= $ 35000
Therefore, the range salary exists 35000.
To learn more about range refer to:
brainly.com/question/26098895
#SPJ2
Find the slope of (11,13), (18,4)
Answer:
-9or
Step-by-step explanation:
im not sure, i reccomend using a slope calculator
Given the following function, find f(-2), f(0), and f(4).
f(x) = 3x + 1
f(-2)=
The chess club at school has 15 members. The number of games won in tournament play this season by each other is listed . What measure of the center is most appropriate to use to describe a typical value for the data in the distribution? Explain reasoning .
Answer:
in a example of datas as bellow:
6 6 6 7 10 11 12 13 14 14 15 16 18 18 30
The best method to have the center is by using the Median.
Explanation:
Median is the value that separates the major and minor half of a sample, population or probability distribution. In simpler terms, median can be the middle value of a data set. In the data set {1, 3, 3, 6, 7, 8, 9}, for example, the median is 6. If there is an even number of observations, there is not a single middle value.
How many solutions does the following equation have?
4(y - 30) = 4y + 12
Choose 1 answer:
A no solutions b exactly one solution c infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
Riley agreed to a payment plan for the refrigerator. She used a graph to record her payments and the remaining balance. Which two statements are true about the graph?
Answer:
Step-by-step explanation:
Its the first option and the third.
The true statements are,
Riley's made larger than normal payment in month 11Riley paid the entire balance after one year and eight months of paymentsWhat are intercepts?The x-intercept is the point where a line crosses the x-axis, and y-intercept is the point where the line crosses the y-axis.
Now from the graph, following information are extracted-
Now Riley's made larger than normal payment in month
At 0 month, amount is $1,050
At 1 month, amount is $1,050
At 2 month, amount is $975
At 3 month, amount is $875
.
,
At 10 month, amount is $525
At 11 month, amount is $425
At 12 month, amount is $375
.
.
At 18 month, amount is $325
At 20 month, amount is $0
Thus, from the above Riley's made larger than normal payment in month 11
The intercept of month becomes 0 at 20 months.
Thus, Riley paid the entire balance after twenty months of payments
Therefore, Riley paid the entire balance after one year and eight months of payments.
Thus, the true statements are,
Riley's made larger than normal payment in month 11Riley paid the entire balance after one year and eight months of paymentsTo learn more about graphs :
brainly.com/question/11980836
#SPJ2
Twice a number is equal to negative four. Which equation could be used to find the number?
2n = 4
2n = -4n
2n - 4
2n = -4
Answer:
2n = -4
Step-by-step explanation:
This is because the N is unknown and in the way it's written it means 2 times something is -4
PLEASE ANSWERTHE QUESTION
Answer:
9. y=-2x+1
10. y=3/2x-2
Step-by-step explanation:
could u vote me brainliest plz? thx :)
Answer:
FREE POINTS!!!
Step-by-step explanation:
Sal borrowed $20,000 to buy a new speed boat. The interest rate on the loan is 5%. He'll pay it back in 3 years. What will be the total amount he will pay for the boat, including interest?
Answer:
4,000 dollars i think
Step-by-step explanation:
because in this case you have have to divide and multiply 20/5 and 4x5
The Rally family has 3 types of pets: cats, dogs, and horses. Their total number of pets is 12. The ratio of cats to dogs to horses is 3:1:2. How many of their pets are horses?
Answer:
4
I multiplyed them all by two and then added them to see f it equaled 12 and it did
what percent of the scores are less than 19?
What percent is .0.62
Answer:
Percentage Calculator: 0.62 is what percent of 100? = 0.62.
Step-by-step explanation:
Hope this helps!!!
Answer:
well there cant be 2 decimal points in a decimal, but .062 is 6.2% and 0.62 is 62%
Step-by-step explanation:
puzzle time: what did the bowling pin say to the bowling ball
Answer:
please spare me
Step-by-step explanation:
Shirley decides to buy a weekly train pass for $25 instead of paying $3.25 each way.
She takes the train to work and back home again for 5 days. How much money does
she save with the weekly pass?
Answer:
75 cents or $0.75
Step-by-step explanation:
1. We see that Shirley takes the train to work and back home. This means she takes the train twice a day. We also see that she uses the train five times a week. So step 1, multiple 5 and 2.
5x2 = 10
2. She pays $25 for a weekly train pass. Divide 25 and 10.
25/10 = 2.5
3. Now, we compare how much money she saved. Subtract 3.25 and 2.5.
3.25-2.5 = 0.75
4. This means she saved 75 cents by purchasing the weekly pass.
(-2,-4) and (6,7)
Need help show steps too
Answer:
Step-by-step explanation:
period
HELP PLEASE WILL REWARD WHO GETS IT RIGHT
Answer:
d. y=2x+6
Step-by-step explanation:
the slope is 2 because it goes up 2 over 1 and the y-intercept is 6 because that is where the line intercepts the y-axis
Answer:
D
Step-by-step explanation:
D
A square has side length 10 cm. Use an exponent to
express its area.
Answer:
[tex]10^{4}[/tex]
Step-by-step explanation:
square has 4 sides each side is 10cm
The area of a square with a side length of 10 cm written in exponent form is 10² cm².
What is the perimeter?The perimeter of any given 2D figure is the sum of the lengths of all the sides.
We know the area of a square is a product of its two sides.
Assuming the length of a side of a square is a unit.
∴ The area of the square is (a×a) sq units,
and we know that a×a = a¹×a¹ = a¹⁺¹ = a².
So, given a square has a side length of 10cm.
∴ The area of the square will be (10×10) sq cm.
= 10² cm².
learn more about circumference here :
https://brainly.com/question/28757341
#SPJ2
Please help me with this equation. It’s solving systems of equations.
Moving downstream (with the current), the boat moves at a rate of (252 mi)/(12 h) = 21 mph. Upstream (against the current), it moves at a rate of (252 mi)/(84 h) = 3 mph.
When traveling downstream, the boat's speed is the sum of its own speed in still water and the speed of the current. It's the same going upstream, but the boat and current move in opposite directions. Let b and c denote these speeds, respectively. Then
downstream: b + c = 21 mph
upstream: b - c = 3 mph
Adding these equations eliminates c and lets us solve for b :
(b + c) + (b - c) = 21 mph + 3 mph
2b = 24 mph
b = 12 mph
Now solve for c :
12 mph + c = 21 mph
c = 9 mph
The function f(t)=|98.6-x|, represents a persons variance from normal body temperature, where x represents a persons current body temperature in degrees Fahrenheit. Medical professionals says healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit
Answer:
Step-by-step explanation:
Given the various variance of normal body temperature expressed by the function f(t) = |98.6-x| where x is persons current body temperature in degree Fahrenheit.
If medical professional says that healthy individual cannot have a variance of no more than 0.5F, we can get the variance by substituting x = 0.5 into the modeled function as shown;
Note that the function can either be negative or positive because of the modulus sign
If x = 0.5
For positive value,
f(0.5) = 98.6-0.5
f(0.5) = 98.1
If the function is negative
f(0.5) = -(98.6-0.5)
f(0.5) = -98.6+0.5
f(0.5) = -98.1
The variance for healthy individual will be expressed as -98.1≤f(x)≤98.1
Which subtraction expression
has the difference 1 + 4i?
Answer:
(3 + 5i) – (2 + i).
Step-by-step explanation:
Answer:
first one is D. (3 + 5i) – (2 + i) second is C. –12 – 10i
Step-by-step explanation:
this is correct for the assignment portion of Edge
15 points helpppppppppp plz
a fence is 7 feet 6 inch high. 1 foot = 12 inches. what is the height of the fence
Answer:
90
Step-by-step explanation:
7 x 12 + 6
Which graph best represents the equation y=2x+5?
Answer:
B?
Step-by-step explanation:
The graph y = 2x + 5 can be represented by the image attached below.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, An equation y = 2x + 5, we can graph this by assuming some arbitrary values of 'x' that correspond to some arbitrary values of 'y'.
When x = 0, y = 5.
x = 1, y = 7 ⇒ (1, 7).
x = 5, y = 15 ⇒ (5, 15).
x = - 5, y = - 5 ⇒ (- 5, - 5).
x = - 2, y = 1 ⇒ (- 2, 1).
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ6
Can someone help with this problem?
Answer:
x = [tex]\frac{1}{13}[/tex]
Step-by-step explanation:
Bases are the same. Move to exponents and set them equal to.
x = [tex]\frac{1}{13}[/tex]
The product of 8 and x is greater than 50.
Answer:
X would have to be any number greater than 6.25
Step-by-step explanation:
8*7=56, 8*8=64, and so on.
29.88÷0.36=? I don't know and I need help :(
Answer:
83
Step-by-step explanation:
Answer:
83
Step-by-step explanation:
Not sure how to explain how to divide these, but the answer is 83.
I'm sorry I couldn't explain, but please have an amazing day C:
i need help some help i have no clue how to do this mess..
The probability of rolling any number on a 6-sided die is 1/6.
The probability of rolling a 4 = 1/6
The probability of rolling a 6 = 1/6
The probability of rolling 4 and then 6 = (1/6) * 1/6) = 1/36
The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)? Your answer should be an integer.
===================================================
Explanation:
The remainder theorem says that if we divide some polynomial p(x) over (x-k), then p(k) is the remainder.
The expression x+1 is the same as x-(-1). Comparing this to x-k shows k = -1.
So we'll need to evaluate p(-1)
To do so visually, draw a vertical line through -1 on the x axis. Make sure this vertical line crosses the blue curve at some point, which I'll call point A.
From point A, draw a horizontal line to the y axis. You should reach y = 3.
This is all shown in the diagram below.
In other words, the point (-1,3) is on the blue curve, and p(-1) = 3.
So the remainder is 3.
Answer:
3
Step-by-step explanation:
