In probabilities, variables p and q are often used as complements of another.
The value of q is 0.421The value of p is 0.129The relationship between variables p and q is:
[tex]\mathbf{p+ q = 1}[/tex]
So, we have:
(a) p = 0.579
Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{0.579 + q = 1}[/tex]
Make q the subject
[tex]\mathbf{q = 1 - 0.579}[/tex]
[tex]\mathbf{q = 0.421}[/tex]
The value of q is 0.421
(b) q = 0.871
Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{p + 0.871 = 1}[/tex]
Make p the subject
[tex]\mathbf{p = 1 - 0.871}[/tex]
[tex]\mathbf{p = 0.129}[/tex]
The value of p is 0.129
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PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?
Answer:
13 and 6
Step-by-step explanation:
-6 divided by 8? How do you turn it into a fraction problem?
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
just put the number on top and what divides it on the bottom
consider the following simplified algebraic expression 10x²y+6x²-7y²-6 which could be the original expression
Answer:
You technically can't do anything with it since it the algebraic expression doesn't factor.
Step-by-step explanation:
(a) A square has a perimeter of 8 cm. What is the length of each side?
Answer: 2
Step-by-step explanation:
Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2
i’ll mark brainliest!! i will give a lot of points
Answer:
Step-by-step explanation:
You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.
The two points are (2,-2) and (-3,-6)
Now construct a line in point intercept form from these two points.
y2 = -2y1 = -6x2 = 2x1 = -3m = (y2 - y1)/(x2 - x1)
m = (-2 - - 6)/(2 - - 3)
m = 4/5
So far what you know is
y = 0.8 x + b
Use either one of the two points to get b (the y intercept)
x = 2
y = - 2
-2 = 0.8*2 + b
-2 = 1.6 + b Subtract 1.6 from both sides
-3.6 = b
y = 0.8x - 3.6
3
What is the value of Y when X=-3 ?
Answer:
2
Step-by-step explanation:
the line is at 2 for Y
Jessica is stacking items on a shelf she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. The shelf should hold at most 50 pounds.
Let x represent the number of large books.
Let y represent the number of medium books.
Which inequality represents the situation?
a.) 5x + 3y < 50 b.) 5x +3y ≤ 50 c.) 5x + 3y ≥ 50 d.) 5x + 3y > 50
Answer:
b) 5x +3y ≤ 50
Step-by-step explanation:
Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.
6h + 5 = 4h + 10
What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Answer: The answer is B.
Step-by-step explanation: I took the test (:
Answer:
b
Step-by-step explanation:
A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The free body diagram is shown.
A free body diagram with 3 force vectors. The first vector is pointing north, labeled F Subscript N Baseline, the second vector is pointing south labeled F Subscript g Baseline = 30 N, and the third pointing 58 degrees north of east labeled F Subscript g Baseline = 65 N.
What is the net force in the x-direction?
30 N
34 N
55 N
65 N
Answer:
34 N.
Step-by-step explanation:
Net force in x direction = 65 cos 58
= 34 N.
Answer:
34N is the answer :)
Step-by-step explanation:
[50 pts] Zeke is a cook at Maxine’s Café after school and earns $12.75 per hour. Zeke worked a lot hours this week and charged $17.90 in meals. After paying for meals, Zeke’s earnings were less than $240. Which inequalities can be used to find h, the maximum number of hours that Zeke could have worked this week? (choose 2)
A 240 > 12.75h + 17.90
B 240 > 12.75h – 17.90
C 12.75h – 17.90 < 240
D 12.75h – 17.90 < 240
E 17.90 – 12.75h < 240
Answer:
240 > 12.75h – 17.9012.75h – 17.90 < 240Step-by-step explanation:
Zeke's earnings are:
12.75h - 17.90This amount is less than 240.
This can be shown as:
12.75h - 17.90 < 240 or240 > 12.75h - 17.90The matching choices are B, C and D (note C and D are given same, must be a typo)
Answer:
C 12.75h – 17.90 < 240
Step-by-step explanation:
Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.
To solve a problem, we often Translate the given information into algebraic expressions and equations.
Step-by-step explanation:
Consider the provided statement.
In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.
For example: “6 less than twice a number"
We first need to translate it.
This can be translated as: 2n-6
Where n represents the number.
Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.
√(112) - √(80) / √(20) - √(28) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We need to solve,
[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]
We can write the above mentioned expression as,
[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
Hence,
[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]
Taking common in respective terms,
[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]
On cancelling 4 with 2,
[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]
[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]
Taking (-) common,
[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]
So, (√5 - √7) gets cut,
Hence,
[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]
Expand the following
Answer:
A) 3x +15
B) 8x -2
C) 20x + 10
D) 4x - 8y
Step-by-step explanation:
A) 3x+3 x 5 = 3x + 15
B) 2 x 4x -2 = 8x -2
C) 5 x 4x +5 x 2 = 20x + 10
D) 4x -4 x 2y = 4x - 8y
(Hope this helps can I pls have brainlist (crown)☺️)
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
Answer:
A
Step-by-step explanation:
The answer is A
The roots of the given quadratic equation are -
x = 2 and x = 1.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a quadratic function f(x) defined as -
f(x) = x³ - 3x² + 2
The given quadratic function f(x) is -
f(x) = x³ - 3x² + 2
We can write the roots of the equation as -
x = {3 ± √(9 - 8)}/2
x = {3 + √(9 - 8)}/2 and {3 - √(9 - 8)}/2
x = (3 + 1)/2 and x = (3 - 1)/2
x = 2 and x = 1
Therefore, the roots of the given quadratic equation are -
x = 2 and x = 1.
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I need answers fast plsss
Answer:
1/6
Step-by-step explanation:
the form you're using is slope-intercept. That is
y=mx+b
where y= y coordinate
m=slope
x= x coordinate
and b= y intercept
so, m in that equation is 1/6, so the slope is 1/6
Hope this helps!
HELP PLEASEEEE!!!
Which of the following inequalities matches the graph? у 10 8. दा 4 x 2. 6 8 10 --10-8-6-4-2 -2 - -8 -10 | OX-7 Oxs-7 Oy=-7 Oyz-7
Answer:
45
Step-by-step explanation:
The graph given is of inequality x ≤ -7.
What is an inequality?In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.
Given is a graph of an inequality, we need to determine the inequality,
So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,
so the inequality will be x ≤ -7
Hence, the graph given is of inequality x ≤ -7.
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A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
represents the shoe rental charge.
represents the price per game.
The number that represents the shoe rental charge is 3.
The number that represents the price per game is 2.5.
The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.
y= 2.5x + 3
In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.
When:
1 game is played, the additional fee is 2.5 x 1 = 2.50.10 games are played, the additional fee is 2.5 x 10 = 25.3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.
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What is -1/2(-4/5) multiplied then in simplest form?
A circular flowerbed is surrounded by a path 2.5m wide .The diameter of the flower bed is 40m. Find the area of the path .
Answer:
The answer is in the photo
Step-by-step explanation:
Help me.
Fraction questions
Answer:
a)
2 sections
b)
9 sections
Step-by-step explanation:
a) there are total 8 boxes
so, for fraction 1/4
1/4 × 2/2 = 2/8
therefore shade 2 sections.
b) there are total 15 sections so to shade 3/5 of this shape
3/5×3/3 = 9/15
therefore , shade 9 sections.
hope this answer helps you dear...take care!
please help I domt understand
Answer:should be d
Step-by-step explanation:
Answer:
option 2
Step-by-step explanation:
[tex]D = \dfrac{3}{2}W\\\\w = 80 \ lbs\\\\D =\dfrac{3}{2}*80\\\\=3*40\\\\D = 120 mg[/tex]
.what is the answer please
its C the only one that makes a angle
Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make
Answer:
6 smaller portions
Step-by-step explanation:
1 pound (lb) = 16 ounces (oz)
3 lbs = 48 oz
1/2lb = 8oz
48oz (total)/8oz (amount in each portion) = 6 portions
What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?
A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Two-thirds
StartFraction 5 Over 6 EndFraction
1 and one-fifth
3 and one-third
Answer:
B
Step-by-step explanation:
Answer:
b?
Step-by-step explanation:
i think thats it sorry if wrong!
I need help with this assignment. Help please
The answer came as 2257 as listed above
Which climate zone generally receives the least amount of the
sun's energy?
a) tropical zone
b) subtropical zone
c) temperate zone
d) subpolar zone
Answer:
d) subpolar zone
I just started this chapter someone help me with these 2 questions
can someone do this? <3
here!
and here’s a link if you want to understand how to do it!
https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder
Answer:
[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]
Step-by-step explanation:
Hope it helps!!
A market sells chicken for $2.99 a pound
RJ's soccer team has a record of winning 2 matches for every 3 they lose. If the team lost 15 matches during the season, how many matches did they win?
Answer:
i have no idea
Step-by-step explanation:
Answer:
They won 10 matches
Step-by-step explanation:
Since it's 2/3 if you multiply 3 by 5 you get 15. If you multiply 2 by 5 you get 10. So wit would be 10/15 which is also 2/3.