Answer:
5/33
Step-by-step explanation:
The table with proper formatting is attached in the image below.
We have to calculate the experimental probability that the next customer buys a red notebook with 150 pages.
Total number of customers in the experiment = Sum of all the values in the given table = 396
Number of customers who bought red notebook with 150 pages = 60
Experimental probability = [tex]\frac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}[/tex]
Number of favorable outcomes in the experiment were 60 and the total outcomes in the experiment were 396.
Therefore, the probability that next student buys a red notebook with 150 pages will be 60/396 = 5/33
The experimental probability that the next customer buys a red notebook with 150 pages is approximately 0.326 or about 32.6%, calculated by dividing 60 red 150-page notebooks sold by the total 184 notebooks sold of that size.
The student is asking about the experimental probability that the next customer will buy a red notebook with 150 pages. To determine this probability, one must look at past data to find the frequency with which customers have purchased red notebooks of 150 pages and divide this by the total number of notebook purchases of all colors with 150 pages.
Based on the data provided:
Number of red 150-page notebooks sold: 60Total number of 150-page notebooks sold: 60 (red) + 40 (green) + 57 (blue) + 27 (yellow) = 184The experimental probability is therefore calculated as follows:
P(red 150-page notebook) = Number of red 150-page notebooks sold / Total number of 150-page notebooks sold
P(red 150-page notebook) = 60 / 184
P(red 150-page notebook) = 0.326 or about 32.6%
Find the missing value to the nearest whole number.
cos xº = 0.39
Answer:
1
Step-by-step explanation:
cos^-1(0.39)=1.17... so i rounded to the nearest whole number, 1
Answer:
67°
Step-by-step explanation:
Apply the inverse cosine function to both sides, obtaining:
x = arccos 0.39
Using a calculator, obtain the value of x:
x = 1.17 (radians)
or
1.17 180°
x = ---------- · ------------ = 67 degrees (to the nearest whole degree)
1 π
1
Q1. A number cube is rolled twice. What is the probability of getting an even number twice
Q2. Mei Lee spins a spinner 50 times. The spinner lands on red 25 times. What is the experimental probability of landing on red?
Q1. Answer: [tex]\bold{\dfrac{1}{4}}[/tex]
Step-by-step explanation:
[tex]\dfrac{even\ numbers}{total\ numbers}\times \dfrac{even\ numbers}{total\ numbers}\\\\\\=\dfrac{3}{6}\times \dfrac{3}{6}\\\\\\=\dfrac{1}{2}\times\dfrac{1}{2}\\\\\\=\large\boxed{\dfrac{1}{4}}[/tex]
Q2. Answer: [tex]\bold{\dfrac{1}{2}}[/tex]
Step-by-step explanation:
[tex]\dfrac{red\ spins}{total\ spins}=\dfrac{25}{50}=\large\boxed{\dfrac{1}{2}}[/tex]
Which of the following combined with the equation −9x + 3y = 12 creates a system of linear equations with no solution?
Answer:
Step-by-step explanation:
You can't get an exact answer to this because there are no choices.
Add 9x to both sides.
3y = 9x + 12 Divide by 3
3y/3 = 9x/3 + 12/3 Combine
y = 3x + 4
Now to get anything at all that is parallel to this and providing no answer because there is no intersection of the two lines, just change the 4 to something else. Here's one example
y = 3x + 8
As long as the number in front of the x's is the same, they are parallel with no point in common.
Hey can you plzzz help me? its Apply the distributive property to create an equivalent expression.
6(3c - 5d + 6) = ? IM DESPERITE PLEASE HELP
Answer:
18c - 30d + 36
Step-by-step explanation:
you multiply the number outside to the numbers inside the parenthesis.
6 * 3c = 18c
6* -5d = -30d
6*6= 36
Answer:
18c - 30d + 36
Step-by-step explanation:
6(3c - 5d + 6) = ?
You first multiple 6 to 3c. This leaves you with 18c. Next, you multiply 6 to (-5d). Remember that it is a negative because it has a minus sign in front of the number, leaving you with -30d. Lastly, you have 6 times 6, which is 36. This leaves us with the equation of 18c - 30d + 36. I hope this helped.
x-y < z for x I need help with this please
Answer:
x < y + z
Step-by-step explanation:
x - y < z
Add y to each side: x < y + z
in coordinates plane, what is the length of the line segment that connects points at (4, -1) and (9, 7) ? round to the nearest hundredth. ____ units.
Answer:
√((4 - 9)² + (-1 - 7)²) = √((-5)² + (-8)²)
= √(25 + 64) = √89 = about 9.43 units
how many ounces of pure oil should be mixed with an oil-gas solution that is 4.51% oil, to get 100 ounces of an oil-gas mixture that is 15% oil
Answer:
≈ 11 ounces
Step-by-step explanation:
(This is the easiest method I can explain, there is probably a simpler one)
We can make a system of equations (x = oz. of pure oil, y = oz. of mixture):
x + y = 100 oz. -> y = 100 - x
x + 0.0451y = 0.15(100) -> x + 0.0451y = 15
Using substitution, we get that x + 0.0451(100 - x) = 15.
This is equal to x + 4.51 - 0.0451x = 15.
Subtracting both sides by 4.51 and combining like terms gets us
0.9549x = 10.49.
Dividing both sides gives us about 11 ounces.
Final answer:
To obtain 100 ounces of a 15% oil-gas mixture from a 4.51% oil-gas solution, 10.49 ounces of pure oil should be added to the solution.
Explanation:
To solve the problem of how many ounces of pure oil should be mixed with an oil-gas solution that is 4.51% oil to get 100 ounces of an oil-gas mixture that is 15% oil, we can use a simple mixture equation. Let's denote the unknown quantity of pure oil to be added as x ounces.
First, we calculate the amount of oil already present in the 4.51% oil-gas mixture. If we have a total of 100 ounces, the existing oil in the mixture is 4.51% of this, that is 4.51 / 100 × 100 = 4.51 ounces.
Next, we know that the final mixture will have to be 15% oil. Therefore, in 100 ounces of this mixture, we will need 15% oil, which is 15 / 100 × 100 = 15 ounces of oil.
To find out how much pure oil to add, we subtract the amount of oil already present in the mixture from the total amount of oil needed. So, x + 4.51 = 15, which gives us x = 15 - 4.51 = 10.49 ounces of pure oil needed to be added.
11. Solve 5(2x – 3) = x – 15 + 9x for x.
Answer:
[tex]\boxed{\bold{True \ For \ All \ x}}[/tex]
Explanation:
[ Step One ] Group Like Terms
[tex]\bold{5\left(2x-3\right)=x+9x-15}[/tex]
[ Step Two ] Combine Similar Elements: [tex]\bold{x+9x=10x}[/tex]
[tex]\bold{5\left(2x-3\right)=10x-15}[/tex]
[ Step Three ] Expand [tex]\bold{5\left(2x-3\right): \ 10x-15}[/tex]
[tex]\bold{10x-15=10x-15}[/tex]
[ Step Four ] Add 15 To Both Sides
[tex]\bold{10x-15+15=10x-15+15}[/tex]
[ Step Five ] Simplify
[tex]\bold{10x=10x}[/tex]
[ Step Six ] Subtract 10x From Both Sides
[tex]\bold{10x-10x=10x-10x}[/tex]
[ Step Seven ] Simplify
[tex]\bold{0=0}[/tex]
[ [tex]\boxed{\bold{Final \ Answer}}[/tex] ]
➤ [tex]\bold{Both \ Sides \ Are \ Equal, \ True \ For \ All \ x}[/tex]
[tex]\boxed{\bold{Mordancy}}[/tex]
To solve the equation, distribute the 5 into the parentheses, combine like terms, and simplify to find that the solution for x is 0.
To solve the equation 5(2x \\- 3) = x \\- 15 + 9x for x, we start by distributing the 5 into the parentheses on the left side:
5(2x) - 5(3) = x - 15 + 9x
which simplifies to:
10x - 15 = x - 15 + 9x
Combine like terms by subtracting x from both sides:
10x - x - 15 = 9x - x - 15
Leaving us with:
9x - 15 = 8x - 15
Next, we can cancel the -15 on both sides, since they are equal and opposing, which simplifies the equation to:
9x = 8x
Subtract 8x from both sides to isolate x:
9x - 8x = 0
And we find that:
x = 0
Please help, I'm currently confused on telling whether an absolute value equation has a solution or doesn't. For example, -5|x + 1| = 10 has no solution, and if you actually did it, the x would be -3, and 1. Meanwhile 2|x − 6| + 14 = 38 has a solution of x = −6, x = 18 and it has a solution??? I'm so confused.
The best command denominator for 3/4 + 5/6
Answer:
12
Step-by-step explanation:
a computer store bought a program at a cost of $20 and sold it at a selling price$26. what is the percent markup
The markup percentage can be found by subtracting the cost price from the selling price, dividing by the cost price, and then multiplying by 100, resulting in a 30% markup.
The percent markup is calculated by finding the difference between the selling price and the cost price, then dividing that by the cost price and multiplying by 100.
Markup = (Selling Price - Cost Price) / Cost Price x 100
Markup = ($26 - $20) / $20 x 100
Markup = $6 / $20 x 100
Markup = 0.30 x 100
Markup = 30%
is 2/6 equal to 2/3
Answer: No
Step-by-step explanation: 2/6 is not equal to 2/3. Find common denominators. The common denominator would be 6. So multiply each number in 2/3 by 2. You will get 4/6. 4/6 is not equal to 2/3.
On a piece of paper use a protractor to construct a triangle with angle measures of 40 and 60 what is the measure of the third angle?
Answer:
80°
Step-by-step explanation:
The angles of a triangle must add up to 180°.
40° + 60° + missing angle = 180°
100° + missing angle = 180°
subtract 100° from both sides
missing angle = 80°
Calculate the volume of this regular solid. What is the volume of the rectangular prism
The answer is 270cm cubed.
What is the volume of the rectangular prism?
270 cm^3
10................/......
Answer:
-1 + √3 or -(1 - 2√3)Step-by-step explanation:
(1 + √3) (2 - √3) = 2 - √3 + 2√3 - 3 = 2 - 3 - √3 + 2√3 = -1 + √3 or -(1 - 2√3)
For this case we must simplify the following expression:
[tex](1+ \sqrt {3}) (2- \sqrt {3})[/tex]
We apply distributive property:
[tex]2- \sqrt {3} +2 \sqrt {3} - \sqrt {3} * \sqrt {3} =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]2+ \sqrt {3} - (\sqrt {3}) ^ 2 =\\2+ \sqrt {3} -3 =[/tex]
We take into account that different signs are subtracted and the sign of the major is placed:
[tex]-1+ \sqrt {3}[/tex]
Answer:
[tex]-1+ \sqrt {3}[/tex]
may somebody help me please.
Answer:
X= -8. (-8,8)
Step-by-step explanation:
If -4x-y=24 and y = 8 then it is -4x-8=24. +8 on both sides. -4x=32. divide -4 on both sides and you get that x = -8 because 32 divided by -4 is -8.
if im right sub to my you tube channel:
Josiah Rowell
and can i get brainliest
Answer:
(-8,8)
Step-by-step explanation:
-4x-y = 24
We know that y =8
Substitute that into the equation
-4x-8 = 24
Add 8 to each side
-4x-8+8 = 24+8
-4x = 32
Divide by -4
-4x/-4 = 32/-4
x = -8
lulu eats 5/8 pound of food a day. how many days will it take her to eat a 5-pound bag of food?
Answer:
[tex]8\ days[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{1}{(5/8)}\frac{day}{pounds}=\frac{x}5}\frac{days}{pounds}\\ \\x=5*8/5\\ \\x=8\ days[/tex]
Can someone help me please? Thanks
Answer:
The volume of juice is 38.4 pi in^3
Step-by-step explanation:
First we need to find the volume of the cylinder
V = pi r^2 h
We need the radius
r = d/2 = 8/2 =4
V = pi * 4^2 *12
V = pi *16*12
V = 192 pi in^3
Remember we need the exact volume so we cannot approximate pi
Now it is 20% full of juice
Multiply the volume by 20 percent
192 pi * 20%
192 pi * .20
38.4 pi
The volume of juice is 38.4 pi in^3
The relationship between man and the environment changed after the Fall. True or False
It's a matter of opinion really, but I would say true.
Answer:
Step-by-step explanation:
The Fall is an environmental catastrophe and the relationship between man and the environment changed after that. The answer is True.
what is the sum? x/x+3 + 3/x+3 + 2/x+3
Answer: [tex]\frac{x+5}{x+3}[/tex]
Step-by-step explanation:
The problem gives you the following expression:
[tex]\frac{x}{x+3}+\frac{3}{x+3}+\frac{2}{x+3}[/tex]
Therefore, to add the fractions with equal denominator, you must rewrite the denominator (x+3) and add the numerators of each one of the fractions.
Then, keeping the above on mind, you obtain the sum shown below (You must remember to add the like terms):
[tex]\frac{x+3+2}{x+3}=\frac{x+5}{x+3}[/tex]
Answer:
(x + 5)/(x + 3)
Step-by-step explanation:
I take all three fractions have a denominator of x + 3. If that is correct, then the question should be written as
x/(x + 3) + 3/(x + 3) + 2/(x + 3)
(x + 3 + 2)/ (x + 3)
(x + 5)/(x + 3)
That's the answer
Given: circle k(O), m∠A=(x+45)°, m KE =(x+20)°, m EW =(3x)° Find: m KW . HELP ASAP WILL GIVE BRAINLIEST!
Answer:
160°
Step-by-step explanation:
We can use the central angle theorem for this. It says that an angle inscribed in a circle (on the circumference) measured half of the arc it intercepts (by 2 points on the circumference of the circle).
that would mean that Angle KAW is half of measure of Arc KW. Thus we can write:
m∠A = 0.5 (arc KE + arc EW)
x+45 =0.5 (x+20+3x)
x+45 = 0.5(4x+20)
x+45 = 2x + 10
45 - 10 = 2x - x
Thus, x = 35
Since Arc KW = Arc KE + Arc EW and x = 35, we can say:
Arc KW = x + 20 + 3x = 35 + 20 + 3(35) = 160°
The value of the arc KW subtended from the center of circle O is 160°.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the circle O:
m KW = m KE + m EW (angle addition postulate)
m KW = (x + 20) + (3x)
m KW = 4x + 20
m KW = 2m∠A (angle subtended from center)
4x + 20 = 2(x + 45)
x = 35
m KW = 4(35) + 20 = 160°
The value of the arc KW subtended from the center of circle O is 160°.
Find out more on equation at: https://brainly.com/question/2972832
use the substitution method to slove the system of equations choose the correct ordered pair x+y=11 -x=-y-10
Answer:
(10, 1)
Step-by-step explanation:
-x = -y - 9 has already been solved for -x. Multiply every term of this equation by -1 to obtain x = y + 9.
Now substitute y + 9 for x in the first equation. We get:
(y + 9) + y = 11, or, after combining the y terms, 2y = 2.
Solving for y, we get y = 1.
Subbing 1 for y in the first equation results in: x + 1 = 11.
This yields x = 10.
Thus, the solution is (10, 1).
A isosceles triangle
B equilateral triangle
C right triangle
D scalene triangle
Answer:
um thats a Isosceles triangle s A is correct
Step-by-step explanation:
this is because it has a pair of congruent sides and a pair of congruent angles.
can i get brainiest
Answer:
A
Step-by-step explanation:
A triangle with 2 sides equal is an isosceles triangle
While at the zoo, you saw 20 monkeys in an exhibit. Then some of the monkeys go and hide while the zoo keeper moves 5 monkeys to another area for feeding. Now you only see 8 monkeys. How many monkeys are hiding?
It would be 7.
Because 20-5-15 then 15-8=7
A triangle has angle measured of 20° and 40°. What could be two of the angle measured of a similar triangle ?
Answer: 20° or 40° could be the two angles of the other similar triangle
What is 4p(p-7q) please
Can you help me
The nswer is 4p^2-28pq.
If f(x) = 6x-4, what is f(x) when x = 8
Answer:
The correct answer is 44
Step-by-step explanation:
6(8)-4
48-4
44
Answer:
f(8) = 44
Step-by-step explanation:
Plug in 8 for x. Then evaluate the expression.
f(x) = 6x - 4
Where you see x, substitute it with 8.
f(x) = 6x - 4
f(8) = 6(8) - 4
f(8) = 48 - 4
f(8) = 44
What is the AREA of this figure?
Answer:
532m squared is the answer
Step-by-step explanation:
Split the shape into two shapes
one will be a square and the other one a triangle
1) since the length and the width of the square is 18m just Multiply
18x18=324m squared
2) look carefully the width of the square you split is equal to the base of the triangle, so you connect the 18 and the 8 together.
18+8=26m squared
3) Now solve the triangle since you know the height which is 16m squared.
A=lw/2
26x16=416
416 divided by 2 is 208
4) finally just Add
208+324=532m squared
Hopes this helps!
Which expression represents the calculation “subtract 3 from 7, then multiply by 9"? A) (3 − 7) × 9 B) 7 − (3 × 9) C) 9 − (7 × 3) D) 9 x (7 − 3)
Answer:
D. 9 x (7 - 3)
Step-by-step explanation:
Subtracting 3 from 7 is (7-3), then multiplying by 9 is (7-3)x9.
A. Because it says three subtracted from seven so that goes first in the parentheses
solve the simultaneous equations using an algebraic method:
2x+5y=0
3x-4y=23
Answer: The required solution is (x, y) = (5, -2).
Step-by-step explanation: We are given to solve the following system of equations :
[tex]2x+5y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-4y=23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
From equation (i), we have
[tex]2x+5y=0\\\\\Rightarrow 2x=-5y\\\\\Rightarrow x=-\dfrac{5}{2}y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Substituting the value of x from equation (iii) in equation (ii), we get
[tex]3\times\left(-\dfrac{5}{2}y\right)-4y=23\\\\\\\Rightarrow -15y-8y=46\\\\\Rightarrow -23y=46\\\\\Rightarrow y=-\dfrac{46}{23}\\\\\Rightarrow y=-2.[/tex]
From equation (iii), we get
[tex]x=-\dfrac{5}{2}\times(-2)=5.[/tex]
Thus, the required solution is (x, y) = (5, -2).
Final answer:
To solve the simultaneous equations 2x+5y=0 and 3x-4y=23, you can multiply the first equation by 4 and the second by 5 to eliminate y, solve for x, and then substitute back to find y. The solution is x = 5 and y = -2.
Explanation:
To solve the simultaneous equations 2x+5y=0 and 3x-4y=23 using an algebraic method, one effective technique is to eliminate one of the variables to solve for the other. Let's eliminate y and solve for x.
Multiply the first equation by 4, and the second equation by 5, to make the coefficients of y equal but opposite in sign.
4(2x+5y) = 4(0) → 8x+20y = 0
5(3x-4y) = 5(23) → 15x-20y = 115
Add the two resulting equations to eliminate y.
8x + 20y + 15x - 20y = 0 + 115
23x = 115
x = 115/23
x = 5
Substitute x back into one of the original equations to solve for y. Using the first equation:
2(5) + 5y = 0
10 + 5y = 0
5y = -10
y = -2
The solution to the simultaneous equations is x = 5 and y = -2.