Answer:
The required probability is [tex]\mathit{\frac{9}{14}}[/tex]
Step-by-step explanation:
Probability: Rule of Addition
The probability that Event A or Event B occurs is equal to the probability that Event A occurs plus the probability that Event B occurs minus the probability that both Events A and B occur. It can be calculated as follows:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
There are 14 types of crackers the company sells, numbered from 1 to 14. The sample space for purchasing one cracker is:
[tex]\Omega=\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\}[/tex]
There are n=14 possible choices.
The favorable cases for a cracker with an odd number are:
A = {1,3,5,7,9,11,13}
There are 7 favorable cases.
The favorable cases for a cracker with a number greater than 11 are:
B = {12,13,14}
There are 3 favorable cases.
The cases which are common to both events are:
A ∩ B= {13}
There is 1 case.
The probability of each event is:
[tex]\displaystyle P(A)=\frac{7}{14}=\frac{1}{2}[/tex]
[tex]\displaystyle P(B)=\frac{3}{14}[/tex]
[tex]\displaystyle P(A\cap B)=\frac{1}{14}[/tex]
Therefore:
[tex]\displaystyle P(A\cup B)=\frac{1}{2}+\frac{3}{14}-\frac{1}{14}[/tex]
Adding the fractions:
[tex]\displaystyle P(A\cup B)=\frac{7+3-1}{14}=\frac{9}{14}[/tex]
The required probability is [tex]\mathbf{\frac{9}{14}}[/tex]
If a polynomial has four terms, 3x3 + 5x + 6x2 + 10, which factoring method can be considered? perfect-square trinomial difference of squares factor by grouping sum of cubes
Answer:
c
Step-by-step explanation:
just took the quiz
Answer:
The answer is C) factor by grouping
Step-by-step explanation:
Edge 2020
Find the y-intercept, The equation of the x of symmetry and the x-coordinate of the vertex for 12.
Answer:
0, x=0, (0,0)
Step-by-step explanation:
f(x) =4x²
y-intercept is at (0,0) because there is no term with no variable
axis of symetry is x=0, because is the y-axis
x-coordinate of the vertex is 0 because the vertex is at (0,0)
Answer:
axis of symmetry-x=0
y-int-(0,0)
vertex-(0,0)
Step-by-step explanation:
Scores on a standard IQ test are normally distributed with a mean of 100 and a standard deviation of 15. To the nearest integer value, how high must you IQ be to fall within the top 5% of scores.
Answer:
25
Step-by-step explanation:
because I go it wrong and the quiz told me the answer was 25. Pog. I am just as confused.
What is 19/25 as a percent
Answer:
76%
Step-by-step explanation:
Take 19/25.
Multiply them by 4.
76/100
Turn into a percentage
76%
Inside of the triangle below has been extended to form an exterior angled 145°. find the value of X
Answer:
125
Step-by-step explanation:
90+145=235
360-235=125
Answer:
x=35
Step-by-step explanation:
Because with two angles making up one side of a straight line like that, their total will always be 280 degrees, Seein g that one of the angles is 145. 180-145= x or 35
bleh YwY
............
Answer:
UwU
OwO
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 9 in this number.
139,648
Rewrite the following equation in standard form
y-4=-5/2 (x+3)
Answer:
y-4=-5/2x+6
y=-5/2x+6+4
y=-5/2x+10
rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c
Answer:
f(x) = -2x² - 8x - 2
General Formulas and Concepts:
Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last)Standard Form: f(x) = ax² + bx + cVertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = -2(x + 2)² + 6
Step 2: Find Standard Form
Expand by FOILing: f(x) = -2(x² + 4x + 4) + 6Distribute -2: f(x) = -2x² - 8x - 8 + 6Combine like terms (constants): f(x) = -2x² - 8x - 2Plot the following equation using the x- and y-intercepts. Include at least one additional point on the line. Prove that the x-intercept, y-intercept and additional point are all solutions to the equation.
2x - 3y = 6
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the graph, x- and y-intercepts, additional point and proof in your answer.
graph the line y=3x
Answer:
here is a graph ( I hope I did it right lol)
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
Learn more about linear expression here: https://brainly.com/question/1955739
#SPJ2
Write the equation of the line that is perpendicular to y = -3x +2 and passes through
(3.1).
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[tex]y = \frac{1}{3} x \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let me know if you need explanation
What is the length of of BC? with work pls help
Answer:
31
Step-by-step explanation:
Assuming the drawing is to scale
The triangle is equilateral according to measure, So the measure of angles A, B and C are the same and the lengths of sides AB, BC and BA are equalThere is very little information to go off, so the measurements are done with a ruler etc.With that in mind, this means AC=BC, ergo [tex]6x-5=4x+7[/tex] So, [tex]6x-4x=7+5[/tex] then [tex]x=6[/tex] Plugging that back into BC, we have [tex]4(6)+7=24+7=31[/tex]the product of a number and -7 is at most -70. what is inequality 18 points
Answer:
Inequality :
[tex]-7x\le \:-70[/tex]
Step-by-step explanation:
Let the unknown number be x
at most -70 = ≤ -70
[tex]x\times(-7) \leq -70\\\\-7x\leq -70[/tex]
Solving further :
[tex]-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10[/tex]
What is the percent change of 500 to 100
Answer:
400%
Step-by-step explanation:
First, work out the difference (decrease) between the two numbers you are comparing. 500-100=400
Next, divide the decrease by the original number and multiply the answer by 100. 400/100=4
4 x 100=400
Hope I helped!
What is the equation for the line in slope-intercept form?
Answer:
y=mx+b is slope-intercept form
where m is the slope and b is the y intercept.
Since the line crosses the y axis at 0,0 the intercept is +0 or just nothing.
now all we need to do is find the slope
to do that just go from the y intercept (the first point) y units up and x units over untill u cross at the next point. for examples from (0, 0) to (1, 8)-the next point- i need to go up 8 units up and 1 unit over. this is described as rise over run and that is your slope 8/1 rise/run. rise is how many units i go up (or down) from the y intercept until the next point that lies on the line and run is how far i need to go over from how many units i just went up. If u continue to go 8 up and 1 over from each point u will see that u get a point lying of the line. This is why 8/1 is your slope
8/1 is the slope and 0,0 is your y intercept so we put nothing
the equation is y=8x
Step-by-step explanation:
Answer:
y=8x
Step-by-step explanation:
Pick two points (0,0) (2,16)
Then 16-0/2-0= 8
8 is the slope
The y intercept is 0 so
y=8x
7) What is the solution to the system of equations?
8) What is the solution to the system of equations?
9) Solve by using substitution and state the solution as an ordered pair. Show all of the steps used to determine the solution.
10) Solve by using substitution and state the solution as an ordered pair.
Photos attached
Answer:
A
C
D
Step-by-step explanation:
Which table values could be generated by the equation 4y+2x=16
Answer:
x=0, y=4
x=2, y=5
x=4, y=6
x=6, y=7
x=8, y=8
x=10, y=9
Step-by-step explanation:
FIRST ONE TO GET ME THE CORRECT ANSWER WILL WIN BRAINIEST
9514 1404 393
Answer:
59 3/4
Step-by-step explanation:
The change from the opening price is ...
-50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price
Multiple choice A,B,C,D
Answer:
The Answer is A
Step-by-step explanation:
What is the x-intercept of
3x – 4y = 242
Answer:
x=242/3
alternative form= 80 2/3, x=80.6
Step-by-step explanation:
3x-4y=242
substitute y = 0
3x-4x0=242
calculate the product
3x-0=242
remove 0
3x=242
divide both sides (by 3 in order to leave x by itself)
done
A hot air balloon is at 14 feet above sea level, if you remove 7 sandbags, where
would the hot air balloon be? ( 1 feet = 1 sandbag)
Answer:
21 feet above sea level.
Step-by-step explanation:
If you remove weight, a hot balloon goes up. 14+7(feet) = 21 feet above sea level.
Answer:
21ft
Step-by-step explanation:
Smallest two digit number using 6, 2, 7, 3
Answer:
23
Step-by-step explanation:
One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?
Answer: $1.75
Step-by-step explanation:
Increase 1.25 by 4.25
5.31
Presently increase 1.25 by 2.85
3.56
Take away 3.56 from 5.31
1.75
Answer:
Beef= 5.75
Turkey=4.35
Beef cost is $1.40 more than turkey.
Step-by-step explanation:
If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container
Answer:
64
Step-by-step explanation:
what is the solution to this equation: 7m to the 2 power + 6m - 1 = ?
Answer:
7m² + 6m - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
7m² + 6m - 1
Step 2: Simplify
The expression cannot be simplified further.
In 8 hours, Jose can bake 288 cupcakes. How many
cupcakes per hour can he bake?
Answer:
36
Step-by-step explanation:
Mary needs to order pizza for 18 students. Each student should get 1/4 of a pizza. How many pizza's should Mary order? How many pizza will be left over?
Answer:
Mary should order 5 pizzas,a half of a pizza will be left over.
Step-by-step explanation:
5/12 as a whole number
Answer:
the answer is 0.41666666666
Answer:
when we convert 5/12 as whole number we get 0.41666666666
