The probability of rolling a 1 or a 2 is P = 4/9, this means that around 4/9 out of the N times we perform the experiment, we will see a 1 or a 2.
How to find the probability?
We assume that each number has the same probability of rolling up in both dices.
So, in each dice, the probability of rolling a 1 or a 2 is 2 out of 6, or:
p = 2/6 = 1/3
And if we get these on one of the dice, we don't want them in the other,
The probability of not rolling a 1 or a 2 is:
q = 4/6 = 2/3
The joint probability is the product of the two individual probabilities:
P = (1/3)*(2/3)
But, we also need to consider the case where we don't get an 1 or a 2 in the first dice roll, and we do get it on the second dice, then there are 2 permutations, so we need to add a factor 2.
P = 2*(1/3)*(2/3) = 4/9
Now we want to find how often a 1 or a 2 appear against the total number of appearances.
If the total number of appearances is N, then in 4/9 of these, the number 1 or 2 will appear, this is:
N*(4/9) times.
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grete waitz won the new york marathon nine times. The rate at which she ran during her last victory in 1988 was 26 miles in 148 minutes. to the nearest hundredth, what was the unit rate for her last race.
Answer
148/26 = 5.69 min/mile
Step-by-step explanation:
Unit rate miles per minute = 26/148 = 0.175= 0.176 miles per minute (rounded)
If you want minutes per mile 148/26 = 5.69 min/mile
Calculate the pay of the following day of a wage of $ 11/hour.
Answer:
93.5 dollars during Monday.
Step-by-step explanation:
Morning: 12:15 - 8 = 4hours 15 minutes
Afternoon: 17:15 - 13 = 4 hours 15 minutes
Total Time working = 4 hours 15 minutes + 4 hours 15 minutes
Total time working = 8 hours 30 minutes
30 minutes = 1/2 hour = 0.5 hours
Total time = 8.5 hours
Wage = 8.5 * 11 = 93.5 dollars for Monday.
At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let 'J' represent the amount of money John has saved tt weeks after the beginning of the year and let 'I' represent the amount of money Isaac has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.
Answer:
10 weeks
Step-by-step explanation:
Let’s replace ‘t’ with numbers going up starting from 0 on both sides of the equation. Repeat until you get to 10 and you see that both are equal at $170 has been saved after 10 weeks.
John’s equation: 40 (y intercept) + 13t (saved per week)
Issac’s: 80 (y intercept) + 9t (amount saved per week)
The y-intercept represents the amount of money already saved up.
can someone please help me it's due very soon ( plz show work)
Answer:
−8w − 6z − 24
-20w + 3(4w -8) - 6z Distributive Property (multiply 4w and -8 by 3)
-20w + 12w - 24 - 6z Combine Like terms (add 12w to -20w)
-8w - 6z - 24
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
I need help please!!!!!
Answer:
after it is folded into 4 the new area is 112
Step-by-step explanation:
450 divided by 4 is 112
What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)?
A. 73
B. 90
C. 290
D. 365
Answer:
B. 90
Step-by-step explanation:
Simplify
20 + 3(11) + 5 + 2(16)
Expand
20 + 33 + 5 + 32
Simplify
= 90
PLEASE HELP
m<6 = (2x-5)°
m<4 = (x+5)°
9514 1404 393
Answer:
∠3 = 115°
Step-by-step explanation:
Angles 4 and 6 are "same-side interior angles", so are supplementary.
∠4 +∠6 = 180°
(x +5) +(2x -5) = 180
3x = 180
x = 60
The angles marked 3 and 6 are alternate interior angles, so are congruent. The measure of angle 3 is ...
∠3 = ∠6 = (2x -5)° = (2(60) -5)°
∠3 = 115°
For △ABC find the length of AB if AC=7, BC=5, and m∠C=20. Round your answer to the nearest hundredths. (Image not drawn to scale)
Answer: 2.87
Step-by-step explanation:
Please answer this by midnight I need it for Algebra 3 and I don't want to fail please
The length of the arc is about 1.758 cm.
First, we need to determine the size of the angle. If we have pi/5 radians, we can convert that to 36 degrees, because pi radians is 180 degrees. Now, we know the measure of the arc is 36 degrees. 36 degrees out of 360 degrees is 10%.
Our arc is 10% of the circumference of the circle.
The circumference is 2(pi)r or 2(3.14)2.8 = 17.58 cm
Now, multiply 17.58 by 0.1 to get a total of 1.758 cm.
what is the answer for 6y-2y?
Answer:
4y
Step-by-step explanation:
Which property is x/5=3 pls helppp
Answer:
It means that the value of X is 15
X/5=3/1
or,X=3×5
or,X=15
Answer:
value of X is 5 ani if there was y then it would be vaule of y
Every day, you take the elevator from the basement parking lot that is at level -3. The elevator takes two seconds per level and you find that it takes 46 seconds to reach your floor. Which floor do you live on?
Answer: Well 2 x 23 = 46, So the 23rd floor
Step-by-step explanation: :)
A tennis ball is dropped from a height of 12 meters. Each time the ball bounces back to 80% of the height from which it fell. Draw a graph to represent the height of the ball after each bounce.
Please help me
4(x-2)=x+10
what does x equal
15 point and brainiest
Answer:
4x-8=x+10
combine like terms
5x+2 is your answer
Step-by-step explanation:
If i have 10 dogs and 5 of them went away the mother dog had 10 more than she had before then 3 of them went away and she will get 5 more than she had before. How many dogs does she have ?
Answer:
This problem is asking the question below:
What is 10-5+10-3+5
10-5=5
5+10=15
15-3=12
12+5=17
So, the mother dog had a total of 17 pups
Step-by-step explanation:
Hope this helps! :)
Have a blessed day! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Simplify each expression.
8(x-4)
-(x-3)
4(x + 3y + 1)
Helppppppp
Answer:
8(x-4)
8x-32
-(x-3)
-x+3
4(X+3y+1)
4x+12y+4
Step-by-step explanation:
I am not to sure about the 2nd one tho
#7 and #8 find the slope in the graphs MULTIPLE CHOICE
Answer:
7)A 8)D
Step-by-step explanation:
Answer:
7 is d and 8 is a
Step-by-step explanation:
What information do you need to write the equation of a transformed quadratic equation in vertex form
Answer:
To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.
Step-by-step explanation:
Write a simplified algebraic expression for the area of a rectangle with length 4x and width x - 2.
b) If x = 3, find the area of the rectangle.
What are the polynomials for 29 x 51
Answer:
the answer is 1479
stop using this fancy term in this situation
A clown has 10 red balloons and 14 blue balloons. You pick one balloon without looking. What is the chance it is red?
Answer:
Percent: Approx 41.6%
Fraction: 10/24 = 5/12
10 in 24
Step-by-step explanation:
There are 10 red balloons out of a total of 24. The rest is self-explanatory.
Hope this helps! Have a great day!
hazel prepared 6/8 liter os juice and 5/8 liter of guyabano juice.how many liters of juice did she prepare in all
Answer:
Step-by-step explanation:
i believe you just have to add the fractions together since the denominator are the same :)
[tex]\frac{6}{8} + \frac{5}{8} = \frac{6 + 5}{8} = \frac{11}{8}[/tex]
So in total Hazel can produce [tex]\frac{11}{8}[/tex] Liters of juice
order the following numbers from least to greatest: 8/9, 0.85, 0.92
Answer:
0.85,8/9,0.92
Step-by-step explanation:
Maya runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes
Answer:
10.5 miles
Step-by-step explanation:
PLEASE HELP FOR BRAINLEST!!!!
Answer:
repel and attract is correct answer
Answer:
repel; attract
Step-by-step explanation:
think of magnets, N and N repel and N and S attract
Pls help ??????????????
Answer:
14
Explanation:
First off, the ratio is 1f/20b(f=fleece, b=bottles).So now it says that the ratio is (unknown)f/280b. To find the answer you have to take 280 x 1 / 20. The and if you do that, the answer comes out to be 14.
I hope I helped
Robert is designing hexagonal tiles that are made up of 12 identical right triangles, as shown. Write three equations robert can use the find the area A of the hexagonal tile in square centimeters.
Robert is designing hexagonal tiles that are made up of 12 identical right triangles, as shown. Write three equations robert can use the find the area A of the hexagonal tile in square centimeters.
Given:- Hexagon is made up of identical 12 triangles Sides of triangle :- 5cm,4cm,3cmTo Find:- 3 Equations for finding the area of the triangle Answer:-First method:-we know 12 triangles make up hexagon so we can say
12× Area of triangle = Area of hexagon
[tex]12 \times ( \frac{1}{2} \times base \times height) = area \: of \: hexagon[/tex]
[tex]12 \times \frac{1}{2} \times 3 \times 4 = area \: of \: hexagon \\ 12 \times 3 \times 2 = area \: of \: hexagon \\ 12 \times 6 = area \: of \: hexagon \\ 72cm {}^{2} = area \: of \: hexagon[/tex]
Second method:-we can see that there is a rectangle in the middle of the hexagon and 4 triangles (identical ) on 2 sides
According to question:-
sides of rectangle :- 8 cm and 6cmside of triangle is sameso area of hexagon= area of square+ 4 area of triangle
[tex]( l \times b ) + (4( \frac{1}{2} \times b \times h)) = area \: of \: hexagon[/tex]
[tex] (8 \times 6 ) + 4(\frac{1}{2} \times 4 \times 3) = area \: of \: hexagon \\ 48 + 24= area \: of \: hexagon \\ 72 {cm}^{2} = area \: of \: hexagon[/tex]
Third method:-we can see 2 square at the sides of the 4 triangle at the middle so we can say
side of square = 5cmsides of triangle = 4cm ,3cmArea of hexagon =4× area of triangle + 2 area of square
[tex]area \: of \: hexagon = (4\frac{1 }{2} × 4×3)+2(5×5) [/tex]
[tex]area \: of \: hexagon = 24+ 50 \\ area \: of \: hexagon = 74cm² \\ area \: of \: hexagon = 72 cm ² approx [/tex]
This approximation turn out bez in your question the area of 4 identical triangle is not equal to square formed by them
4 area of triangle = area of square
4×6 = 24 cm² not equal to 5² = 25 cm²
thats why there is approximation of 2 cm²
Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. v(t)=v(t)=v, left parenthesis, t, right parenthesis, equals 2) How many months after its creation does the company reach its lowest net value? months
Answer:
4(t-3)^2-64
3 months
Step-by-step explanation:
1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]
2)3 months after its creation the company will reach its lowest net value.
The net value of the company after t months is given as:
[tex]v(t) = 4t^2-24t-28[/tex]
The above parabolic equation can be written as
[tex]v(t)=4(t^2-6t+9)-64[/tex]........(1)
What is the general equation of a parabola with vertex (h,k)?The general equation of a parabola is:
[tex]y = a(x-h)^2 +k[/tex]
where (h,k) is the vertex of the parabola.
So, (1) can be written in the vertex form as
[tex]v(t)=4(t-3)^2-64[/tex]
So, the vertex of the given parabola is (3, -64).
[tex]v'(t) = 8t - 24[/tex]
[tex]v''(t) =8[/tex]
So, from the second derivative test
t value corresponding to v'(t) =0 will give minimum value
[tex]8t-24=0[/tex]
[tex]t=3[/tex]
So, 3 months after its creation the company will reach its lowest net value.
Therefore, 1) Vertex form of the equation of the parabola is [tex]v(t)=4(t-3)^2-64[/tex]
2)3 months after its creation the company will reach its lowest net value.
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Analyzing data, making predictions about consumers, and calculating risks are all jobs of an __________
Answer:
An accountant
Step-by-step explanation:
Hope this helps, I don't have an explanation.
50 points!
Select all that apply. A rectangular prism has a volume of 96 cubic inches. Select the possible measurements for the base area and height of the prism.
This should be simple, just simply multiply the area of base with height.
A - 24 * 4 = 96 ft³
B - 9.5 * 5 = 47.5 ft³
C - 16 * 6 = 96 ft³
D - 48 * 2 = 96 ft³
E - 9 * 5.3 = 47.7 ft³
Therefore, only option A, C, D is correct.