Answer:
61/112.
Step-by-step explanation:
For 5 lemon sweets to be in the bowl the 3 taken must be from the 4 blackcurrent and/or 7 orange sweets.
First work out the probability of having a lemon in one of the 3 picks:
Prob (Taking 3 lemons) = 5/16 * 4/15* 3/14 = 60/3360 = 1/56.
Prob (Taking 2 lemons and 1 blackcurrent) = 5/16*4/15*4/14 = 1/42
There are 3 ways of doing this so Probab) = 3/42 = 1/14.
Prob (Taking 1 lemon and 2 blackcurrent) = 5/16*4/15*3/14 = 1/56.
There are 3 ways of doing this so Prob = 3/56.
Prob (Taking 2 lemons and orange) = 5/16*4/15*7/14 = 140/3360 = 1/24.
There are 3 ways of doing this so Prob) = 3/24 = 1/8.
Prob (Taking 1 lemon and 2 orange) = 5/16*7/15*6/14 = 1/16
There are 3 ways of doing this so Prob = 3/16.
Therefore the probability of have 1 or more lemons in one of the 3 picks
= 1/56 + 1/14 + 3/56 + 1/8 + 3/16
= 51/112
and the probability of NOT having a lemon in one of the 3 picks
= 1 - 51/112
= 61/112.
PLEASE HURRYYYYYYYYYYYYYYYYY!!!!!!!
Answer:
y = 2/5 x + 4/5
Step-by-step explanation:
First, we find the slpe of the line that is shown.
We go from point (-2, 2) to (0, -3).
We go 5 down, or a rise of -5.
Then we go 2 right, or a run of 2.
slope = m = -5/2
The perpendicular line has slope 2/5.
y = (2/5)x + b
2 = (2/5)(3) + b
10/5 = 6/5 + b
b = 4/5
y = 2/5 x + 4/5
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
y =4x-2
y=x+3
Answer:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
Step-by-step explanation:
Equation 1: y = 4x - 2
Equation 2: y = x + 3
Subtract Equation 2 from Equation 1 and solve for x:
⇒ 0 = 3x -5
⇒ 3x = 5
⇒ x = 5/3
Substitute found value of x into one of the equations and solve for y:
⇒ y = 5/3 + 3
⇒ y = 14/3
Therefore, the solution of the system of equations is:
[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]
Solve the following ⇒ 8x-5=5(x-4)
Answer:
x = -5
Step-by-step explanation:
Given:
[tex]\displaystyle \large{8x-5=5(x-4)}[/tex]
Distribute 5(x-4):
[tex]\displaystyle \large{8x-5=5x-20}[/tex]
Add both sides by 5:
[tex]\displaystyle \large{8x-5+5=5x-20+5}\\\displaystyle \large{8x=5x-15}[/tex]
Subtract both sides by 5x:
[tex]\displaystyle \large{8x-5x=5x-15-5x}\\\displaystyle \large{3x=-15}[/tex]
Divide both sides by 3:
[tex]\displaystyle \large{\dfrac{3x}{3}=\dfrac{-15}{3}}\\\displaystyle \large{x=-5}[/tex]
Therefore, your solution is x = -5
Answer:
x = -5
Step-by-step explanation:
8x - 5 = 5(x - 4)Distributing the value in the RHS
5(x - 4)5(x) - 5(4)5x - 20Equating to the RHS
8x - 5 = 5x - 20Bring x terms to the left and numbers to the right.
8x - 5x = -20 + 53x = -15Divide both sides by 3.
3x/3 = -15/3x = -5Solving the System of Equations
Examine the system of equations.
4.2x + 8y = 41.8
–4.2x + y = 19.4
Use the linear combination method to solve the system of equations. What is the value of x?
–3
–1
1.7
6.8
Answer:
x= -3
Step-by-step explanation:
Solve the following system:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
In the second equation, look to solve for y:
{8 y + 4.2 x = 41.8
y - 4.2 x = 19.4
y - 4.2 x = y - (21 x)/5 and 19.4 = 97/5:
y - (21 x)/5 = 97/5
Add (21 x)/5 to both sides:
{8 y + 4.2 x = 41.8
y = 1/5 (21 x + 97)
Substitute y = 1/5 (21 x + 97) into the first equation:
{4.2 x + 8/5 (21 x + 97) = 41.8
y = 1/5 (21 x + 97)
4.2 x + (8 (21 x + 97))/5 = ((168 x)/5 + 776/5) + 4.2 x = 37.8 x + 776/5:
{(37.8 x + 776/5) = 41.8
y = 1/5 (21 x + 97)
In the first equation, look to solve for x:
{37.8 x + 776/5 = 41.8
y = 1/5 (21 x + 97)
37.8 x + 776/5 = (189 x)/5 + 776/5 and 41.8 = 209/5:
(189 x)/5 + 776/5 = 209/5
Subtract 776/5 from both sides:
{(189 x)/5 = -567/5
y = 1/5 (21 x + 97)
Multiply both sides by 5/189:
{x = -3
y = 1/5 (21 x + 97)
Substitute x = -3 into the second equation:
Answer: {x = -3, y = 34/5
Answer:
A) -3
Step-by-step explanation:
PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue
Answer:
Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}
= 6
Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}
=4
P( A is besides C)= 4/6
= 2/3MARK ME AS BRAINLISTWhat does volume measure?
a
the total distance around a figure
b
the average of the sum of all items
c
the exposed surface of a solid shape
d
the amount of space occupied by an object (its capacity)
Answer: d - the amount of space occupied by an object (its capacity)
Explanation:
[a] The total distance around a figure is the perimeter, this does not answer our question.
[b] The average of the sum of all items is the mean, this does not answer our question.
[c] The exposed surface of a solid shape is the object's surface area, this does not answer our question
[d] The amount of space occupied by an object is the object's volume, so this does answer our question.
What number am I?
Elmo wants his answer please
Answer:
8
Step-by-step explanation:
Im not sure but i think it might be correct.
Answer:
8
Step-by-step explanation:
4) Good Work Company charges by the word to run classified ads. This company charges $12 for
the first 15 words and $0.55 for each additional word.
a. How much would a 25-word classified ad cost?
b. How much would a 50-word classified ad cost?
Equation::
Rate of change=0.55$If words be x
Equation in slope intercept form
y=12+0.55x, x≥15So
#1
More words=25-15=10
Cost:-
y=12+0.55(10)=12+5.5=17.5$#2
Extra words=50-15=35
Cost:-
y=12+0.55(35)=12+19.25=29.25$Answer:
a. $17.50
b. $31.25
Step-by-step explanation:
a.
For $12 you get 15 words.
For a 25-word ad, you need 10 more words than the 15 you get for $12, so you must add 10 words at $0.55 per word.
cost = $12 + 10 × $0.55
cost = $12 + $5.5
cost = $17.50
b.
50 words is 25 words more than 25 words, so you must pay for 25 words more than the cost of the 25-word ad in part a.
cost = $17.50 + 25 × $0.55
cost = $17.50 + $13.75
cost = $31.25
factorise fully: 9x² + 3x³
Answer:
3x^2(3+x)
Step-by-step explanation:
please mark me as brainlest
Answer:
3x(3x+[tex]x^{2}[/tex])
Step-by-step explanation:
just take 3x as common and divide the other values by it
A. What is 0.47 expressed as a fraction in simplest form?
B. What is 0.-47 expressed as a fraction in simplest form?
C. What is 0.--47 expressed as a fraction in simplest form?
Please show your work for each part.
25 points! and Brainliest!
Answer:
See below ~
Step-by-step explanation:
Converting a decimal to a fraction :
Multiply by 100/100 and keep in the form without divisionA. (0.47)
0.47 x 100/10047/100B. (-0.47)
-0.47 x 100/100-47/100C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign0.--47 ⇒ 0.4747/100Answer:
Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100
Step-by-step explanation:
Step 1: Determine 0.47 as a fraction
0.47 can also be expressed as 47% which means that there is 47/100. We can see that there is no way that we can simplify the fraction even more so that is our final answer.
Step 2: Determine -0.47 as a fraction
0.47 can also be expressed as -47/100. We can see that there is no way that we can simplify the fraction even more so that is our final answer.
Step 3: Determine --0.47 as a fraction
Two negatives (-), means that they cancel out and cause a positive (+). For example, -1 * -1 gives us 1. Therefore it would just be like the first one which is 47/100.
Answer: Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100
When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units
Answer:
29.4 m
Step-by-step explanation:
From the graph
You can clearly infer from the graph that the initial height of the cannon ball, before it is launched is 29.4 mJust find t = 0, and see where the line of the graph intersects the y-axis, which represents height of the cannon ball w.r.t time.From the equation
An even simpler method is substitute t = 0 into the equation for the motion of the cannon ballh(0) = -4.9(0)² + 24.5(0) + 29.4h(0) = 29.4 mI think of a number . If I subtract six from it and multiply the difference by 4 the result is 36. Evaluate the number that I thought of.
Answer:
15
Step-by-step explanation:
First we can make an equation by replacing the unknown number with x :
First step of problem:
x-6
Second part of problem:
4(x-6)
Third part of the problem:
4(x-6)=36
First we can expand the bracket to give us:
4x-24=36
Now we add 24 to both sides:
4x = 60
Now we divide both sides by 4 for our final answer of
x= 15
To check this answer we can put it back into the problem:
4(15-6)=36
4(9)=36
✅
Therefore our answer that was thought was 15.
What is 180 divided by 2
Answer:
90
Step-by-step explanation:
Do it on the calculator 180÷2
Alg I Sem 2 Final Comp South Panola MS 2021-2022
Hines, Tre'Darious
10 of 65
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Use the information given to answer the question.
A producer tracks the number of viewers per week for two television shows. The table shows functions
f(w) and g(w) representing the approximate number of viewers, in millions, w weeks after the tracking
begins.
Television Show 1
Television Show 2
f(x) = 14.7(0.94)
g(w) = 15.2(1.03)
Part A
For Television Show 1, which statement is true?
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let f and g representing the approximate number of viewers, in millions, x weeks after the tracking begins.
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat?
Answer: 12
Step-by-step explanation: 2 times of 8 is 16, but it says 4 less, so you subtract 4 and that equals 12.
A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 13in, and the radius of the shaded region is 4in.
Use the value 3.14 for π. Round your answer to the nearest hundredth.
Answer:
The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.
Step-by-step explanation:
The pre-image has coordinates D(-1,3),E(4,3),F(4,1),G(-1,1) What is the image of DEFG
Answer:
•SEE ABOVE ATTACHMENT•The image of DEFG forms QUADRILATERAL SHAPE
hope it helpsmark as brainliastWhich steps could be part of the process in algebraically solving the system of equations, y 5x = x2 10 and y = 4x – 10? select two options. y = x2 5x 10 y 5x = x2 10 4x – 10 0 = x2 – 9x 0 = x2 – 9x 20 one x-value of a solution to the system is 4.
Answer:
That would be :
4x – 10 = x2 – 5x + 10 ( y = 4x - 10 is substitute for y)
PROOF: y + 5x = x² + 10
(4x - 10) + 5x = x² + 10
4x - 10 = x² -5x + 10
0 = x2 – 9x + 20 (liked terms are grouped and simplified)
PROOF: 4x - 10 = x² -5x + 10
4x = x² -5x + 10 + 10
0 = x² -5x -4x + 20
0 = x² - 9x + 20
Solving:
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0
(x - 5) (x - 4) = 0
⇒ x = 4 (as question says) OR x = 5
Step-by-step explanation:
hope this helps
Answer:
D,E
Step-by-step explanation:
in the scale drawing of a
park the scale is 1 cm: 10 m find the area of the actual Park
Answer:
please what is the dimension for the length and breadth
find the value of x in 7x =1
Answer:
[tex]\displaystyle \large{x=\dfrac{1}{7}}[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle \large{7x=1}[/tex]
Divide both sides by 7:
[tex]\displaystyle \large{\dfrac{7x}{7}=\dfrac{1}{7}}\\\displaystyle \large{x=\dfrac{1}{7}}[/tex]
Therefore, the solution is x = 1/7
Answer:
[tex]x =\frac{1}{7}[/tex]
Step-by-step explanation:
Find the value of x in 7x = 1
[tex]7x = 1 < == divide\ both\ sides\ by\ 7\\\\\frac{7x}{7}=\frac{1}{7}\\\\ x =\frac{1}{7}[/tex]
Hope this helps!
Would you please look at this question?
Answer:
The answer to this question is "x"-meter = 48 = B)
You decide to update your bathroom. You are going to put new tile in your shower. Your shower has three rectangular walls that need tiled. One wall is 5 feet wide and 8 feet high. The other two walls are each 4 feet wide and 8 feet high. What is the total area that you will need to tile?
[tex]\bigstar{\boxed{\pmb{Area\:of\:a\:Rectangle:\:A=LW}}[/tex]
[tex]\sf{A=8*5}[/tex]
[tex]\sf{A=40~ft^2}[/tex]
[tex]\rule{200}{2}[/tex]
[tex]\sf{A=4*8}[/tex]
[tex]\sf{A=32~ft^2}[/tex]
Now, add the areas:-
[tex]\sf{A=40+32+32~(since~there~are~2~walls~with~this~area)}[/tex]
[tex]\sf{A=72+32}[/tex]
[tex]\sf{A=104}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
The figure below is an isosceles trapezoid. Solve for x.
Note: the figure may not be drawn to scale.
Answer:
x = 3
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent , then
4x - 1 + 4 = 2x + x + 6 , that is
4x + 3 = 3x + 6 ( subtract 3x from both sides )
x + 3 = 6 ( subtract 3 from both sides )
x = 3
You find another case with a sale price of $4.68 after a 40% discount. What is the original price of the case?
Answer:
11.7
Step-by-step explanation:
Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.
11.7 is the original price.
Brainliest please?
PLEASE HELP
How do I find the periods??
Answer:
look for where the graph intertacts.
Step-by-step explanation:
Find the value of x. 69 30.9 38.1
Answer:
x = 30.9
Step-by-step explanation:
[tex]x = \frac{1}{2} (138 - 76.2) = \frac{1}{2} (61.8) = 30.9[/tex]
Please help me with the question below thanks.
p.s who every gives the right answer will be the brainliest :)
Answer:
200.96 inches squared
Step-by-step explanation:
lookie here! pretend the circle is a cookie. ok i love cookies. NOW IM MOTIVATED. lookie here, its just the way the cookie tear.
alright so your teacher told you that the area of a circle is 3.14 times the radius squared.
the radius here is 8 inches. 8 squared is eight times eight. that is 64.
cool. now 64 times 3.14 is:
200.96
amazing
(prepare to get hurt and mangled, like kurt angle, rookie year!)
i hope you have a swag day
2. Solve for the missing side
It is required to show the work when you got the answer
Answer: The answer is 15.
Step-by-step explanation: I used the pythagorean theorem, which is squaring the "legs" of the right angle, which is 9m and 12m, then adding the answer and using the square root of the sum.
The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 mwhats the answer need it quick
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]
