Answer:
-82.8
Step-by-step explanation:
15.45 + ( − 98.25)
15.45 - 98.25
= -82.8
Since the two terms are of opposite signs, you have to subtract and use the sign of the greater term (positive or negative)
Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.
Answer:
[tex]P(C\ and\ D) = 153\%[/tex]
Step-by-step explanation:
Given
[tex]P(C) = 98\%[/tex]
[tex]P(D) = 88\%[/tex]
[tex]P(C\ or\ D) = 33\%.[/tex]
Required
[tex]P(C\ and\ D)[/tex]
In probability, the relationship between the given parameters and the required parameter is:
[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]
Substitute values in the above formula
[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]
[tex]P(C\ and\ D) = 153\%[/tex]
No, it can't be a probability
Because [tex]P(C\ and\ D) > 100\%[/tex]
Graph the line with slope 8 and y-intercept −8.
To create the slope 8, you would have to do the rise over run:8/1. which means u go up 8 units and to the side one unit and you keep doing that. And since the y-intercept is -8, then you start your first point at -8 and continue to go up.
The graph is attached below:
What is graph?Graphing basic functions like linear functions and quadratic functions is easy. The basic idea of graphing functions is
Identifying the shape if possible. For example, if it is a linear function of the form f(x) = ax + b, then its graph would be a line; if it is a quadratic function of the form f(x) = ax2 + bx + c, then its a parabola.
finding some points on it, by substituting some random values of x and finding the corresponding values of y by substituting each value into the function.
For graphing quadratic function also, we can find some random points on it. But this may not give a perfect U-shaped curve. This is because, to get a perfect U-shaped curve, we need where the curve is turning. i.e., we have to find its vertex. After finding the vertex, we can find two or three random points on each side of the vertex and they would help in graphing the function.
Given:
slope= 8
y- intercept = -8
So, the equation can be
y= mx+ c
y= 8x - 8
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Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
Which coordinate pair represents the reflection of (-4,6)
3x+4=17x-10 what is x
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
[tex]3x+4=17x-10[/tex]
Subtract 4 from both sides:
[tex]3x+4-4=17x-10-4[/tex]
[tex]3x=17x-14[/tex]
Subtract 17x from both sides:
[tex]3x-17x=17x-14-17x[/tex]
[tex]-14x=-14[/tex]
Divide both sides by -14:
[tex]\frac{-14x}{-14}=\frac{-14}{-14}[/tex]
[tex]x=1[/tex]
Answer:
1
Step-by-step explanation:
Step 1:
3x + 4 = 17x - 10
Step 2:
4 = 14x + 10
Step 3:
14 = 14x
Answer:
x = 1
Hope This Helps :)
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)
Answer:
156
Step-by-step explanation:
Since, ∠CAT and ∠TAD is a linear pair.
Therefore,
∠CAT + ∠TAD = 180°
14° + (x + 10)° = 180°
(x + 24)° = 180°
x + 24 = 180
x = 180 - 24
x = 156
Solve the system using elimination.
7x + 10y = 27
X-10y = -19
The solution is
(Simplify your answer. Type an ordered pair.)
The solution is (1,2)
Step-by-step explanation:
7x + 10y = 27
x - 10y = -19 +--------------------
8x = 8
Divide by 8 on both sides
x = 1
To find y substitute any of the equations to 1
7(1) + 10y = 27
7 + 10y = 27
Substract 7 from both sides
10y = 20
Divide by 10
y = 2
Which statement is true?
A function is a relation where each output value is assigned to exactly one input value.
The domain of a function is the set of all output values, or y-values, for which the function is defined.
The range of a function is the set of all input values, or x-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
To write the equation y = ax + b in function notation, substitute f(x) for y
Step-by-step explanation:
The only true statement is the last one.
__
A function assigns exactly one output value to each input value.
The domain is the set of all input, or x-values.
The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
Answer:
The last one: To write the equation y = ax + b in function notation, substitute f(x) for y.
Step-by-step explanation:
A relation is a mapping from a set of input values, called the domain, to a set of output values, called the range. In a relation, each element in the domain can be assigned to one or more elements in the range.
A function is a relation where each input value is assigned to exactly one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y, resulting in the function f(x) = ax + b.
which ordered pair is not a solution to this system?
x+y > 3
x + 2y > 5
Answer:2,2
Step-by-step explanation:
I guess
Suppose you travel 300 miles on a highway for 6 hours.At what rate did you travel?use the distance formula d=rt and solve for r.
Answer:
50 mph
Step-by-step explanation:
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
A 3-mi cab ride cost $7.90. A 9-mi cab ride cost $18.70
Answer:
The 3 mile cab ride includes a basic charge as well as the cost for the distance covered. For a 6 mile trip, the cost ...
a triangle has side lengths of (9.7m-6.8m) centimeters, (6.6m+6.5p) centimeters, and (2.2p-6.4n)centimeters. which expression represents the perimeter, in centimeters, of a triangle?
Answer:
To find the perimeter of a triangle, you would need first all three side lengths.
9.7m-6.8m = 2.9, 6.6m+6.5p=7.1, 2.2p-6.4= -4.2. once I added all the sides it was 5.8.
10 friends share six pizzas equally. What fraction of a pizza does each friend get?
Answer:
10 friend=6 pizza now,
1 friend gets =10÷6
=5÷3
Jill, Cathy, and Sandy were in line for a roller coaster ride. How many ways could they be seated if the ride held 3 people in each seat?
Answer:
6
Step-by-step explanation:
1x2x3=6
Please help I can’t afford to fail this class :(
33 feet is how many meters? Hint: 1 ft ≈ 0.305 m Round your answer to the nearest tenth. (HELP!)
Answer:
10.1m
Step-by-step explanation:
1ft = 0.305m
33ft = 33 x 0.305m = 10.065m ≈ 10.1m
What is the solution of the following quadratic inequality?
XA – 18x²=-64
0 (-3.623, -2.208) U (2.208, 3.623)
[-3.623, -2.208] U [2.208, 3.623]
0 (-00, -3.623) U (-2.208, 2.208) U (3.623, co)
(-00, -3.623] U-2.208, 2.208] U [3.623, có)
o
Answer:
Answer D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddd
Andy was buying
$5 hats and $3
gloves for every
person on his
Christmas list. He
also bought one roll
of wrapping paper
for $2. Let x
represent the
number of people
on his Christmas
list.
Answer:
5x+3x+2= total
x is total number of people times cost
Answer:
5x+3x+2=total
8x+2=total
Step-by-step explanation:
you add the 5x and 3x and get 8x plus the 1 roll which cost 2 and you have total money spent
The following quadratic equations can be solved by extracting square roots x²=36
Answer:
x= 6
Step-by-step explanation:
you can do 6 squared, which is also equal to 6 x 6
4/9(3/8x-27/16)=13/4
Answer:
x=24
Step-by-step explanation:
A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7, 9)
AN(BNC) =
(1, 3, 5, 6, 7, 9)
O {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
OO
The intersection A n(B n C) is an empty set: {∅}
How to get the intersection between the 3 sets?
For two sets A and B.
A n B is defined as the intersection between A and B, so it is the set of common elements between A and B.
Here we have:
A = {1, 3, 5, 7, 9}B = {2, 4, 6, 8, 10}C = {1, 5, 6, 7, 9}Then:
A n (B n C)
First, we have:
B n C = {6}
6 is the only common element between B and C.
And 6 does not belong to A, then:
A n (B n C) = {∅}
Which is an empty set.
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Simplify. 24/36 divided by 9/27
what 6.8 into 3 by 4. urgent
Step-by-step explanation:
5.1 .......... write it fast..........
The matrix below represents the solution to a system of equations.
Which of the following describes the solution?
Answer: C
Step-by-step explanation:
What is a requirement of adjacent angles?
Answer:
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Solve the equation x-3=23
X=
Answer:
26
Step-by-step explanation:
26 - 3 = 23
hope this helps
Answer:
x = 26
Step-by-step explanation:
x-3=23
Add 3 to each side
x-3+3=23+3
x = 26
What is -20.3-14.34?
Answer:
-34.64
Step-by-step explanation:
-20.3-14.34
-34.64
The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.
Answer:
It has a constant slope.
Step-by-step explanation:
A linear function graphs as a straight line. It will have a constant rate of change.
It has a constant slope.
Answer:
D. It has a constant slope on Edg2020
Step-by-step explanation:
Hope this helps!!! Have a great day!!!
By how much does the outlier in the following data set increase the range of the data set?
{59, 70, 63, 46, 60, 38, 60, 51, 48, 85, 66, 55, 236}
To find the range, subtract the smallest from the biggest number.
The outlier is most commonly the biggest or smallest number. Obviously it is 236 in this situation.
To find how much the outlier increases the range, you need to find out the range WITH and WITHOUT the outlier.
Without the outlier: 39
With the outlier: 190
Then you subtract 190 - 39 because you are trying to find out how much MORE RANGE the outlier makes.
The answer is 151.
THEREFORE, The outlier increases the range by 151.