We can divide x^3 + x^2 + 3x – 4 by x^2 + 1 using synthetic division.
true or false?
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.36 and event B occurs with probability 0.31. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). 0. x 5 ? (b) Compute the probability that either A occurs without B occurring or A and B both occur. 0.36
Answer:
Events A and B are dependent
Step-by-step explanation:
If A and B are two events such as A and B are dependent then
P(A∩B) P(A) P(B)
An event A will occur with probability 0.4 that is
An event B will occur with probability 0.6 that is
The probability that both A and B will occur is 0.20 that is P(A∩B) = 0.20
Therefore,
P(A∩B) P(A) P(B)
So,
events A and B are dependent
simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)
Answer:
2187
Step-by-step explanation:
[tex]3^{6}[/tex] × 3
729 × 3
2187
Answer:
l maooooooo but ill help
its 2187
Step-by-step explanation:
use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first
3x3x3x3x3x3=9x9x9=81x9=729
729x3=2187
The sum of three numbers is 235. The second number
is 15 more than the first number, and the third number
is 8 times the first number. Find the second number.
Answer:
37
Step-by-step explanation:
x = 1st number
y = 2st number
z = 3rd number
x + y + z = 235
y = x + 15
z = 8x
x + x + 15 + 8x = 235
10x = 220
x = 22
y = 37
z = 176
The second number is 37.
Given that,
The sum of three numbers is 235. The second number is 15 more than the first number, and the third number is 8 times the first number.Here we assume the first number be x, second number be y, and third number be z.Based on the above information, the calculation is as follows:
x + y + z = 235
y = x + 15
z = 8x
Now
x + x + 15 + 8x = 235
10x = 220
x = 22
So,
y = 22 + 15
= 37
Learn more: brainly.com/question/17429689
In the equation P = 1,000T/V, find the value of P when T = 32 and V = 800.
(And please explain it! Don't just answer.)
Answer:
Step-by-step explanation:
1. Substitute t and v
p=1000(32)/800
2. solve
p=32000/800
3.simplify
p=40
hope it helps, please mark as brainliest :)
Cheryl made a one-time deposit at Eagle Savings & Loan of $6,400. The bank offers a 4.5% interest rate compounded annually. What is the amount of interest Cheryl will earn at the end of 5 years? help please ((:
Answer: I am truly sorry for doing this.
Step-by-step explanation:
At a certain time of day, the sun shines on a large flagpole causing a shadow that is twice as long as the flagpole is tall what is the height of the flagpole to the nearest tenth of a foot?
350ft
Answer:
156.5
Step-by-step explanation:
The height of the flagpole to the nearest tenth of a foot is 156.5 ft.
Word Problems Using Pythagoras Theorem:Word Problems involving the use of the Pythagoras theorem need careful understanding to discern the complexity of the variables given, the using the Pythagoras theorem to solve the eqaution.
The Pythagoras Theorem states that the sum of the squares of the opposite side and the adjacent side is equal to the hypotenuse square.
From the information;
The large flagpole height = adjacent = xThe shadow of the flagpole = opposite = 2xThe hypotenuse = 350 ftUsing the Pythagoras theorem, we have;
hyp² = opp² + adj²
350² = (2x)² + x²
350² = 4x² + x²
122500 = 5x²
x² = 122500/5
x² = 24500
x = √24500
x = 156.5 ft
Therefore, we can conclude that the height of the flagpole is approximately 156.5 ft.
Learn more about word problems here:
https://brainly.com/question/13818690
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
points srry
Step-by-step explanation:
Will mark Brainliest!!!
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4
Answer:
C
Step-by-step explanation:
Combine like term
82x - 26y - 60z - 15y+49z - 53x
Answer:
29x-41y-11z
Step-by-step explanation:
Answer:
29 x − 41 y- 11 z
Step-by-step explanation:
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal
PLZ HELP WILL MARK BRAINLIEST
Plzzzzzz help, tysm if you do
Answer:
I think it C
Step-by-step explanation:
Let's solve your equation step-by-step.
(k−4)2=9
Step 1: Simplify both sides of the equation.
k2−8k+16=9
Step 2: Subtract 9 from both sides.
k2−8k+16−9=9−9
k2−8k+7=0
Step 3: Factor left side of equation.
(k−1)(k−7)=0
Step 4: Set factors equal to 0.
k−1=0 or k−7=0
k=1 or k=7
Answer:
k=1 or k=7
Hope this helps! :)
Square both sides:
K -4 = sqrt(9)
With the answer being a square root rewrite with a postive and negative value:
K-4 = sqrt(9)
And
K-4 = -sqrt(9)
Simplify each:
K-4 = 3
And
K-4 = -3
Solving for k in each one you get answer
C. {1,7}
Dimitri wants to use his 18% employee discount to buy a video game that is priced at $69.99. A 6.5% sales tax is applied to the discounted price. What will be the total cost of the video game, including the sales tax?
A$55.37
B$56.54
C$61.12
D$61.94
Answer:
61.12 look at picture below for work and any rounding I did wrong it can be 62.13 if you are rounding the the next whole cent
Write the number 560 in scientific notation.
Answer:
5.6 x 10 2
Step-by-step explanation:
Answer:
5.6 × [tex]10^{2}[/tex] - scientific notation
hope this answer helps you.....
Stella needed to get her computer fixed. She took it to the repair store. The technician
at the store worked on the computer for 3.25 hours and charged her $75 for parts.
The total was $188.75. What was the cost of labor, per hour?
9514 1404 393
Answer:
$35 per hour
Step-by-step explanation:
The total charge is the sum of costs of parts and labor. If h is the cost of a labor hour, then we have ...
188.75 = 75 + 3.25h
113.75 = 3.25h . . . . . . . . subtract 75
113.75/3.25 = h = 35 . . . divide by the coefficient of h
The cost of labor, per hour, is $35.
In right triangle ABC, m∠ B ≠ m∠ C. Let sin B = r and cos B = s.
What is sin C – cos C?
Draw and label a diagram.
sin A = CB / AB
cos B = CB / AB
sin A = cos B
2x - 1.3 = 5x
Can you solve for x and answer?
The value of expression sin C - cos C is,
⇒ r - s
What is mean by Triangle?Triangle is a three sided polygon, which has three vertices and three angles and which has sum 180 degrees.
Given that;
In right triangle ABC,
⇒ m∠ B ≠ m∠ C.
Let us assume that,
⇒ sin B = r
And, cos B = s.
Now, We get;
sin B = rh / h
= r
And, cos B = sh / h
= s
Hence, We can formulate;
sin C = sh / h = s
cos C = rh / h = r
Thus, We get;
⇒ sin C - cos C
⇒ r - s
Therefore, The value of expression sin C - cos C is,
⇒ r - s
Learn more about the triangle visit;
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x+20≥-7 i need help pls lollllllllllllllllllllllllll
Answer:
Step-by-step explanation:
x is greater or equal to 13
PLS HELP PLSSS HELP!
Convert the angle measures from radians to degrees
How do I find this answer?
it's all on the picture please
All of my friends plz answer me and be safe btw
Answer: What is the question?
Step-by-step explanation:
Find the area for each trapezoid.
[tex]{ \large{ \implies{ \sf{Area \: \: of \: \: Trapezium = \dfrac{1 \times (b1 + b2) \times h}{2} }}}}[/tex]
[tex]{ \large{ \implies{ \sf{Area = \dfrac{1 \times{ \cancel {16 } {}^ { \: \: 8} }\times 19}{ \cancel2} }}}}[/tex]
[tex]{ \large{ \therefore \: { \sf{Area = 1 9\times 8 = { \boxed{ \sf{152} \: \: m {}^{2} }}} \: \: Ans.}}}[/tex]
Find the percent of increase from 58 pounds to 83 pounds. Round to the nearest tenth of a percent if necessary.
Answer:
43%
Step-by-step explanation:
Orinally the decimal percentage is 43.1034% so we just round to 43%
Answer:
43.1`
Step-by-step explanation:
my friend helped me :)
PLEASE HELP AND EXPLAIN HOW TO DO THIS
Find Sn for the given geometric series.
1=0.11, 5=895.956875, =9.5
Answer:
1001.35
Step-by-step explanation:
Assuming
n
=
5
for which sum to be found.
We know sum of geometric series up to
n
th term is
S
n
=
a
1
⋅
r
n
−
1
r
−
1
Here
a
1
=
0.11
,
r
=
9.5
,
n
=
5
∴
S
5
=
a
1
⋅
r
5
−
1
r
−
1
=
0.11
⋅
9.5
5
−
1
9.5
−
1
≈
1001.35
[Ans]
Solving System equations using substitution
5x+2y=21
-x-y=-9
Can someone help solve this
Answer:
x = 1
Step-by-step explanation:
-5x+2(7x)=9
-5x+14x=9
9x=9
x=1
also you can use math_way to help solve this
Have a great day!
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NATION
The function g(x) = x2 + 3. The function f(x) = g(x + 2).
The function f(x) is shifted horizontally
Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated 3 units left and 2 units up, then reflected across the y-axis to form segment F'G'.How many units long is segment F'G'?
Answer:
[tex]F'G' = 7[/tex]
Step-by-step explanation:
Given
[tex]F = (-2,4)[/tex]
[tex]G = (-2,-3)[/tex]
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
TranslationReflectionThe above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
[tex]F'G' = FG[/tex]
Calculating FG, we have:
[tex]FG = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Where:
[tex]F = (-2,4)[/tex] --- [tex](x_1,y_1)[/tex]
[tex]G = (-2,-3)[/tex] --- [tex](x_2,y_2)[/tex]
[tex]FG = \sqrt{(-2 - -2)^2 + (4 - -3)^2}[/tex]
[tex]FG = \sqrt{(0)^2 + (7)^2}[/tex]
[tex]FG = \sqrt{0 + 49}[/tex]
[tex]FG = \sqrt{49}[/tex]
Take positive square root
[tex]FG = 7[/tex]
Recall that:
[tex]F'G' = FG[/tex]
[tex]F'G' = 7[/tex]
five out of 35 books are red. write the ratio of red books to total books in THREE different forms.
Answer:
1:7, 1/7, 1 to 7
Step-by-step explanation:
5/35 = 1/7
Answer:
1 to 7
Step-by-step explanation:
Please help!! Im super confused
Answer:
Outlier is 3 points.
Step-by-step explanation:
Because it stands out from the other data points!