In an AP* Stats class, 57% of students eat breakfast in the morning and 80% of students floss their teeth. Forty-six percent of students eat breakfast and also floss their teeth. What is the probability that a student from this class eats breakfast but does not floss their teeth
Answers
Answer:
The probability that a student from this class eats breakfast but does not floss their teeth is .11 (11%).
Step-by-step explanation:
Let's start by making a two-way table (you can also make a tree diagram).
Let's make the total number of students = 100. Now, fill out the table using the given probabilities from the question.
We are given that 57% of students eat breakfast in the morning, so the total in the "Eats breakfast" column is 57.
80% of the students floss their teeth, so the total in the "Flosses teeth" row is 80.
We can fill out the rest of the table using simple algebra and the fact that the probabilities must add up to 1.
I've attached a table that I created showing what the two-way table should look like when filled out completely.
Now, we want to find the probability that a student eats breakfast but does not floss their teeth.
We can look at the column "Eats breakfast" and the row "Does not floss teeth" and see that 11 (out of 100) students eat breakfast without flossing their teeth.
Therefore, the probability that a student from this class eats breakfast without flossing their teeth is .11.
Related Questions
Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686
Answers
The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
What is geometric series?In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms
A. 6 + 13 + 20 + 27 .
the difference between two terms are 13-6 = 7 , 20-13= 7
The terms are increasing by 7. So it is not geometric
B. 7 + 21 + 35 + 45
the difference between two terms are 21-6 = 14 , 35-21= 14
The terms are increasing by 14. So it is not geometric
C. 14 + 21 + 28 + 35
the difference between two terms are 21-14 = 7 , 28-21= 7
The terms are increasing by 7. So it is not geometric
D. 2 + 14 + 98 + 686
Here the difference is not same, so we find the ratio
14/2= 7
98/14= 7
686/98= 7
So common ratio is 7
When the common ratio is same then it is Geometric series
Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
To know more about geometric progression follow
https://brainly.com/question/24643676
Answer:
D
Step-by-step explanation:
multiplied by 7 each time
help help meeeeeee dont understAND
Answers
Answer:
2776 is the surface area.
Step-by-step explanation:
19 x 48 = 912 x 2 = 1824. 7 x 19 = 133 x 2 = 266. 49 x 7 = 343 x 2 = 686.
Answer:
2762
Step-by-step explanation:
The formula is:
2*(width*length+height*lenght+height*width)
2*(19*48+7*48+7*19)
this equals 2762
An elevation of-89ft.is 89 feet_______
See level.
Answers
Answer:
- sign indicates the fact that it's Below sea level
Write the missing number to make these equivalent fractions correct
?/20=2/5
Answers
Answer:
8
Step-by-step explanation:
From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.
would do the same for the 2, and 2 times 4
would be 8. The answer is 8/20=2/5
The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{
∘. How tall is the tree if the point on the ground is 49 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary
Answers
The height of the tree that forms an angle of 64 degrees and point from the tree is 49 feet is 100.46 ft
The situation forms a right angle triangle.
How to find the sides when given angle of elevationusing trigonometric ratios,
tan 64 = opposite / adjacent
Where
opposite side = height of the treeadjacent side = distance from the point on the ground from the tree.Therefore,
tan 64 = h / 49
cross multiply
h = 49 × tan 64
h = 49 × 2.05030384158
h = 100.464888237
h = 100.46 ft
learn more on angle of elevation here: https://brainly.com/question/27360713
#SPJ1
Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and
Frank's age.
HELP
Answers
Answer: Alex 28
Frank 22
Step-by-step explanation: Age difference is 6. Addition is 50
x^2 - 72 = 6x
how to complete the square?
Answers
Answer:
x = 12 and x = -6
Step-by-step explanation:
First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:
[tex]x^2-6x-72=0[/tex]
To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:
[tex]ax^2+bx+c=0[/tex]
For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:
[tex](6/2)^2=3^2=9[/tex]
Add and subtract 9 to our equation to get:
[tex]x^2-6x+9-9-72=0[/tex]
The first three terms form a perfect square, we have:
[tex](x^2-6x+9)-9-72=0[/tex]
[tex](x^2-6x+9)-81=0[/tex]
What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:
[tex](x-3)^2-81=0[/tex]
Add 81 to both sides to get:
[tex](x-3)^2=81[/tex]
We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions:
[tex]x-3=9[/tex]
[tex]x-3=-9[/tex]
[tex]x=12[/tex]
[tex]x=-6[/tex]
Step-by-step explanation
x^2-6×-72= O
(b/2)^2= b, -6:(-6/2)^2=(-3)^2= 9
x^2-6x+(-3)^2-(-3)^2-72=0
(x-3)^2-9-72=0
(x-3)^2-81= 0
(x -3)^2= 81, x-3= ±9
x= +9+3= 12
x= -9+3=-6
: X= 12 , X= -6
What is the slope of the line shown?
Answers
Answer:
slope = 1/2
Step-by-step explanation:
Pick two convenient integer coordinates
I'll use (0,-1) and (2,0)
slope = (y1-y2)/(x1-x2) = (-1-0) / ( 0-2) = 1/2
Pls help i need this so I can pass
Answers
Answer:
i cant see the photo, but i would love to help
Step-by-step explanation:
help please. this doesn't make sense
Answers
Answer:
a = 39.2650873379cm
b = 11.5529459767cm
Step-by-step explanation:
a - Use the area of a triangle equation - 1/2 * a * b * Sin(C)
1/2 * 8 * 10 * Sin(79) = 39.2650873379cm
b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)
64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398
c = square root of 6.9396506484 = 11.5529459767cm
Put to however many significant figures / decimal places required.
:)
What is the value of 4(x−2)(x−3)+7(x−2)(x−5)−6(x−3)(x−5) when x=5? Type the answer in the box below.
Answers
Answer:
24
Step-by-step explanation:
when x = 5,
4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)
= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 24
A triangle has sides with lengths of 13ft, 82ft, and 83ft. Is it a right triangle
Answers
Answer:
NOT a right triangle
Step-by-step explanation:
IF it is a right triangle, then the Pythagorean theorem would apply
13^2 + 82^2 = 83^2 ?????
169 + 6724 = 6889
6893 = 6889 ? No...it is NOT a right triangle
A right triangle has one angle that measures 48°. What is the measure of the other acute angle?
Answers
Answer:
minus 48 to 90 then divide the answer by 2
Answer:
42°
Step-by-step explanation:
The 2 acute angles in a right triangle add up to 90°
90° - 48° = 42°
Hope this helps
I need some help please
Answers
Answer:
24
Step-by-step explanation:
The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.
The store pays 120 for a bike the store is going out of business and is selling all of the bikes at a 30% discount what is the sil price of the bicycle
Answers
Because 30% of 120 is 36 and 120-36 is 84
120-30% = 84
100%-30%=70%=0.7
120 x 0.7 = 84
Our basketball team won 60 percent of their games. If they lost 8 games, how many games did they play altogether?
Answers
Answer:
they played 20 games together
Step-by-step explanation:
use percentages
Let x be the number of total games.
If 60% is won games then 40% is lost games.
(8/x)*100 = 40
8/x = 4/10
80 = 4x
X = 80/4
Therefore the number of games is 20
They lost 8 games. So those 8 games accounts for 40% of all the matches they played.
8 games = 40%
(divide by 8)
1 game = 5%
To get 100% ie the total number of games played you do 5% x 20
So you also do 1 x 20 to get 20 games played in total.
A tank is being filled with water at a rate of 5.5 gallons per
minute. Write the first five terms of the arithmetic sequence
being represented after each minute if the tank started with
10 gallons of water.
Answers
Arithmetic sqaure: a + (n-1) * d
where "a" is the first term, "d" is the common difference
Here given:
a = 10 gallons
d = 5.5 gallons
nth term: 10 + (n-1) * 5.5Solve for first 5 terms:
10 + (1-1) * 5.5 = 10
10 + (2-1) * 5.5 = 15.5
10 + (3-1) * 5.5 = 21
10 + (4-1) * 5.5 = 26.5
10 + (5-1) * 5.5 = 32
first five terms: 10, 15.5, 21, 26.5, 32
General formula
a_n=a+(n-1)da_n=10+(n-1)5.5So
a_1=10a_2=10+5.5=15.5a_3=10+11=21a_4=10+16.5=26.5a_5=10+22=32a_6=10+27.5=37.5Can someone see if my answers are correct!
Sorry i keep asking questions lol, im just really struggling with math and my teacher wont answer my emails! And my mom doesn't understand any of this even though she's good at math! :(
Answers
Answer:
Step-by-step explanation:
The cross sectional area of a basketball would indeed be a circle. The units for surface area would be meters squared. The units meters cubed would be volume. Area is inherently a 2-dimensional problem. Therefore, having 3-dimensional units makes no sense. In your case, the correct answer would be yards squared
Solve the following equation. Then place the correct number in the box provided.
6(x - 1) = 4(x - 2)
Answers
Answer:
x = -1
Step-by-step explanation:
First we expand both sides :
Let's start with the right side:
6(x-1) = 6x-6
Now we do the left side:
4(x-2) = 4x-8
Now we add 6 to both sides:
(6x-6)+6 = (4x-8)+6
Simplify:
6x = 4x -2
Subtract 4x from both sides:
6x - 4x = (4x-2) - 4x
Simplify:
2x = -2
Divide both sides by 2:
2x÷2 = -2÷2
Simplify:
x = -1
I dont see a box so can't do the second part.
Hope this helps and brainliest please
pls help me with this
Answers
Answer:
7 with a remainder of 2
Step-by-step explanation:
i just did the math rn
12 goes into 86 7 times and has 2 left over
Please help .!!!!!!!!!
Answers
Answer:
-60 = x
Step-by-step explanation:
(-1/4)x - 12 = x + 3
(-1/4)x = x + 15
-0.25x = x + 15
-60 = x
12
Explanation:
Check out the work I’ve attach
Hope it helps, Let me know if you have any other questions!
Have a nice rest do your day :)
the probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slapshots would you expect her to make after 120 attempts?
Answers
Please mark Brainly-est if I’m right
If
5sin 2x +4 = 10 sin ²x, show
that tanx = 2 or tan x =-1/3
Answers
[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]
[tex]\implies 3 \tan x( \tan x -2) + (\tan x -2) = 0\\\\\implies (\tan x -2) ( 3 \tan x +1) = 0\\\\\implies \tan x = 2 ~~ \text{or}~~ \tan x = - \dfrac 13\\\\\text{Showed.}[/tex]need help with this asap
Answers
Answer:
they are three I will explain
Step-by-step explanation:
x+4/3÷6/x
this 3 expressions are equivalent to the equation above
1. x+4/3{x/6}
2. {x/6}x+4/3
3. x^2 + 4x /18
PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
10
15
100
150
Answers
Answer:
10
Step-by-step explanation:
My guy just plug in the number for x it's not that hard
What is the slope of the line that passes through the points (-1, 6) and (14, 3)? Write your answer in simplest form.
Answers
If it doesn’t work then just do -1/5
the slope is m= -1/5.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
y_2 - y₁ = m(x₂ - x₁).
here, we have,
the slope of the line that passes through the points (-1, 6) and (14, 3)
Slope: m= y_2 - y₁/(x₂ - x₁).
= 3-6/14+1
= -1/5.
hence, the slope is m= -1/5.
To learn more on slope click:
https://brainly.com/question/3605446
#SPJ2
a student is running a 3k race he runs 1 km race every 2 minutes select the function that describes his distance from the finish line
Answers
Answer:
-1/2 x + 3
Step-by-step explanation:
How many meters are in 360in?
Answers
Answer:
9.411
Step-by-step explanation:
Answer:9.144
Step-by-step explanation:
Make it quick please!
What are the coordinates of the hole in the graph of the function f(x)?
f(x)=x2−9/x−3
Answers
Factor out the numerator first
y=x²-9/x-3y=x²-3²/x-3y=(x+3)(x-3)/(x-3)y=x+3The hole is at x-3=0 i.e x=3
And
y=3+3=6The hole is at (3,6)
If a = 9 and b = 4, what is the value of 2a
-b?
Answers
Answer:
14
Step-by-step explanation:
2(9)-4=14