The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
How to calculate the probability?a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:
= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)
= 10/20 × 10/20
= 1/4
= 0.25
The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.
b. The probability to be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)
= 100/400 + 49/400 + 9/400
= 158/400
= 0.395
The probability to be able to keep any of the candy will be 0.395.
c. The probability that you will not be able to keep any of the candy will be:
= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)
= 100/400 + 91/400 + 51/400
= 242/400
= 0.605
The probability that you will not be able to keep any of the candy will be 0.605.
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Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
On coordinate plane point located at (- 1, - 2) and point K located at (8, 10) What is the distance, in units from point to point
Answer:
The answer would be 17
Step-by-step explanation:
Answer:
i belive your answer would be 8.5 units if i did the math correctly, im very sorry if thats wrong.
I hope this helps! :)
(cosec a + 1)*(1 - sin a)= cos a* cot a
Answer:
See proof below
Step-by-step explanation:
Given the equation, we are to prove that it is true
(cosec a + 1)*(1 - sin a)= cos a* cot a
From LHS
(cosec a + 1)*(1 - sin a)=
Expand
cosec a - cosecasina + 1 - sina
Since cosec a = 1/sina
1/sina - (1/sina)sina + 1 - sina
1/sina - 1 + 1 - sina
1/sin a - sina
Find the LCM
1-(sin^2a)/sina
cos^2a/sina
cosa * cosa/sina
cos a * cot a (which gives the RHS)
Convert to equation: four times a number increased by 8 is 24
Answer:
4*4
Step-by-step explanation:
since 4 times 4 is 16 then if you add 8 its 24
PLS HELP 5TH GRADE MATH GIVING BRAINLIEST TO CORRECT ANSWER
9514 1404 393
Answer:
line A
Step-by-step explanation:
The "+6" in the equation is the y-intercept. That is the point where the graph crosses the y-axis. Line A has a y-intercept of 6, so that is the graph of the equation.
A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *
Answer:
$24,800
Step-by-step explanation:
that's how much the car costs at year 0
Answer:
Step-by-step explanation:
The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.
The equation described is y=24800(0.88)^x
Henrik is buying a television it has a 38 inch screen (this is the diagonal measurement). If it is 18 inches tall, how wide is the screen?
Answer:
18 inches
Step-by-step explanation:
In geometry the shorter side is the width.
Therefore 18 inches is the width.
(I didn't really get this question)
solve for the missing side,x
Answer:
7.44
Step-by-step explanation:
With reference angle 28°
perpendicular (p) = x
base (b) = 14 cm
Now
Tan 28° = p / b
0.532 = x / 14
x = 7.44
Hope it will help :)
Answer:
Step-by-step explanation:
determine if f (x) = -x^3 + 4x^2 +7x - 6 is a odd or even degree
Answer:
Neither
Step-by-step explanation:
It has a y intercept, which is -6, which changes the whole graph, so its neither
Answer:
odd
Step-by-step explanation:
the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is -x^3
the degree is 3, which is odd
Find the slope of any line parallel to the lien through the given points (3,2),(3,1)
Answer:
m = undefined
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Parallel lines have the same slope but different y-interceptsAn undefined line is a vertical lineSlope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 2)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{1-2}{3-3}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-1}{0}[/tex]Simplify: m = undefinedwhoever knows how to solve this please help!
Answer:
418ft²
Step-by-step explanation:
Find the surface area of both triangle shaped sides.
8 * 12 = 96
96 / 2 = 48 (surface area of one triangular side)
48 * 2 = 96
Find the surface area of both square shaped sides.
10 * 10 = 100
100 * 2 = 200
Find the surface area of the rectangular base side.
12 * 10 = 120
Add everything together.
96 + 200 + 120 = 418
Best of Luck!
What's the circumference of a circle with a radius of 22 inches
no round
Answer:
22π
Step-by-step explanation:
Ok so the equation for the circumference of a circle is diameter * pi, so you have diameter = 22 and you can plug that into the equation:
diameter * pi --> 22 * pi = 22π
What is the inequality for -8x>48
Answer: x<−6
Step-by-step explanation:
Mariana wears her winter coat when the temperature is colder than -4^{\circ}\text{C}−4 ∘ Cminus, 4, degrees, start text, C, end text. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis at which Mariana wears her winter coat.
Answer:
T < - 4°C
Step-by-step explanation:
Given that Mariana wears her coat only when temperature is colder than - 4°C
Recall that lower temperature values indicate higher degree of coldness ;
Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.
Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :
Temperature = T
T < - 4°C
Answer:
t < -4
Step-by-step explanation:
please help, first person with the right answer will be rewarded!!
How many solutions does this equation have?
10n + 8 = 3 + 10n
a circle with a circumference of 40.82 centimeters what is the area of the circle is 3.14 for pi
You need two formulas for this:
C = πd or C = 2πr ( d = 2r ) Where C is circumference and d is diameter, r is radius
A = πr² Where A is area, and r is radius
First you get the diameter and radius by substituting the value of pi and circumference. With that, you can calculate the Area of the circle with the second formula. square² the radius then multiply it to 3.14. Remember that radius is half of diameter.
Answer:
[tex]\boxed {\boxed {\sf a=132.665 \ cm^2}}[/tex]
Step-by-step explanation:
1. Find the Radius
We are given the circumference of 40.82 centimeters. The formula for circumference is
[tex]c=\pi d[/tex]
The diameter is twice the radius, so we can also write this formula as:
[tex]c= \pi 2r[/tex]
Substitute 40.82 for the circumference and use 3.14 for pi.
[tex]40.82 \ cm= (3.14) 2r[/tex]
[tex]40.82=6.28 r[/tex]
6.82 and r are being multiplied. The inverse of multiplication is division. Divide both sides by 6.82
[tex]\frac{40.82 \ cm}{6.28}=\frac{6.28 r}{6.82}[/tex]
[tex]6.5 \ cm=r[/tex]
2. Calculate the Area
Now we can calculate the area using this formula:
[tex]a= \pi r^2[/tex]
The radius is 6.5 centimeters and we are using 3.14 for pi.
[tex]a= 3.14(6.5 \ cm)^2[/tex]
Solve the exponent.
(6.5 cm)²= 6.5 cm * 6.5 cm=42.45 cm²[tex]a= 3.14 (42.45 \ cm^2)[/tex]
Multiply.
[tex]a=132.665 \ cm^2[/tex]
The area is 132.665 square centimeters.
Select all the points that are on the graph of the function defined by y = 2x + 3
a. (-4,3)
b. (-1,1)
C. (0,0)
d. (2,7)
e. (3,9)
f. (3,12)
g. (4.5, 12)
Answer:
b, d, e, g are the points
The coordinates (-, 1), (2, 7), (3, 9) and (4.5, 12) are the points that are on the graph of the function. Therefore, the options B, D, E and G are the correct answers.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given function is y=2x+3.
A) Substitute (x, y)=(-4, 3) in y=2x+3, we get
3=2(-4)+3
3≠-5
B) Substitute (x, y)=(-1, 1) in y=2x+3, we get
1=2(-1)+3
1=1
C) Substitute (x, y)=(0, 0) in y=2x+3, we get
0≠3
D) Substitute (x, y)=(2, 7) in y=2x+3, we get
7=2(2)+3
7=7
E) Substitute (x, y)=(3, 9) in y=2x+3, we get
9=2(3)+3
9=9
F) Substitute (x, y)=(3 12) in y=2x+3, we get
12=2(3)+3
12≠9
G) Substitute (x, y)=(4.5, 12) in y=2x+3, we get
12=2(4.5)+3
12=12
Therefore, the options B, D, E and G are the correct answers.
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1
How many cubes with side lengths of
3
cm does it take to fill the prism?
CON
cm
coln
cm
1 cm
Answer:
can you explain the question?
Step-by-step explanation:
2. The equation y = -7x - 5 and another equation have a solution of (-2, 9). Which of the
following could be the second equation?
Oy= *x + 10
O y=2x+5
Oy=-*+7
O y=3x-3
1. Does each relation represent a function? Circle Yes or No. a. (2, 2), (2, 6), (3, 5), (1,8) Yes No b. (1, 2), (2, 3), (3, 4), (4, 5) Yes No c. (1, 4), (2, 6), (3, 6), (4, 8) Yes No d. (4, 3), (4, 4), (4, 5), (4, 6) Yes No
what does the E stand for in 3.1536e+17
Answer:
well e stands for like what you multiply
Step-by-step explanation:
like well here is an example y=16e and you have to find what e stands for so E=
Alternate interior and alternate exterior angles can be congruent
True or false
Plss answer
Answer:
it's false
Step-by-step explanation:
hope it's correct
5. Simplify the expression.
-3+5n+14n+7
p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is doubled
===========================================================
Explanation:
We're told that "p is directly proportional to the square of q", which means that we have the equation
p = k*q^2
for some constant k
Replace p with 12 because we're also told that p = 12.
So we now have this equation
12 = k*q^2
which is the same as
kq^2 = 12
We'll use this later.
-----------------------
Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling
p = k*q^2
p = k*(2q)^2 ... replace q with 2q
p = k*4q^2
p = 4k*q^2
p = 4*(kq^2)
p = 4(12) ...... replace kq^2 with 12
p = 48
Therefore, if q is doubled, then p = 12 quadruples to p = 48.
Factor the expression. 48 + 16x
correct answers get brainiest and 5 stars, wrong answers reported
8(6+2x)
hope that helps^^
Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school
Answer:
6 hours and 34 minutes
Step-by-step explanation:
If we add 1 minute to 7:59 it is 8 which makes it easier to see the length of time. Then we add that 1 back in to find the exact amount of time Dakota was in school.
Brainliest please . . . .
(1) Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answer:
option D
Step-by-step explanation:
option D is the correct answer .
plz mark my answer as brainlist.
17. Convert 37/6 to a mixed number.
A. 55/6
B. 6576
C. 6/6
D. 62/3
Answer:
6 1/6.
Step-by-step explanation:
That would be 6 1/6. Because 37/6 = 6 remainder 1, which is 1/6, so 6 1/6.
A line passes through the point (-4,7) and has a slope of 3/2
Write an equation in slope-intercept form for this line.
Answer:
[tex]y=\frac{3}{2}x + 13[/tex]
Step-by-step explanation:
Given that [tex]x_{1}[/tex] = -4 and [tex]y_{1}[/tex] = 7 (from the point given) and m = [tex]\frac{3}{2}[/tex], we will use the equation [tex]y - y_{1} =m(x-x_{1})[/tex]. Therefore, when we substitute the given values to the equation:
y - y1 = m(x - x1)
y - 7 = 3/2(x - (-4))
y - 7 = 3/2(x + 4)
y - 7 = 3/2x + 6
y = 3/2x + 6 + 7
y = 3/2x + 13
y=3/2x+13 is the equation of line in slope-intercept form
What is slope intercept form of line?
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given that a line passes through the point (-4,7)
The slope of the line is 3/2.
We need to find the equation in slope-intercept form for this line
Let us find the y intercept of line
7=3/2(-4)+b
7=-6+b
13=b
So slope intercept form is y=3/2x+13
Hence, y=3/2x+13 is the equation of line in slope-intercept form
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