Answer:
The change to the face 3 affects the value of P(Odd Number)
Step-by-step explanation:
Analysing the question one statement at a time.
Before the face with 3 is loaded to be twice likely to come up.
The sample space is:
[tex]S = \{1,1,2,2,2,3\}[/tex]
And the probability of each is:
[tex]P(1) = \frac{n(1)}{n(s)}[/tex]
[tex]P(1) = \frac{2}{6}[/tex]
[tex]P(1) = \frac{1}{3}[/tex]
[tex]P(2) = \frac{n(2)}{n(s)}[/tex]
[tex]P(2) = \frac{3}{6}[/tex]
[tex]P(2) = \frac{1}{2}[/tex]
[tex]P(3) = \frac{n(3)}{n(s)}[/tex]
[tex]P(3) = \frac{1}{6}[/tex]
P(Odd Number) is then calculated as:
[tex]P(Odd\ Number) = P(1) + P(3)[/tex]
[tex]P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}[/tex]
Take LCM
[tex]P(Odd\ Number) = \frac{2+1}{6}[/tex]
[tex]P(Odd\ Number) = \frac{3}{6}[/tex]
[tex]P(Odd\ Number) = \frac{1}{2}[/tex]
After the face with 3 is loaded to be twice likely to come up.
The sample space becomes:
[tex]S = \{1,1,2,2,2,3,3\}[/tex]
The probability of each is:
[tex]P(1) = \frac{n(1)}{n(s)}[/tex]
[tex]P(1) = \frac{2}{7}[/tex]
[tex]P(2) = \frac{n(2)}{n(s)}[/tex]
[tex]P(2) = \frac{3}{7}[/tex]
[tex]P(3) = \frac{n(3)}{n(s)}[/tex]
[tex]P(3) = \frac{1}{7}[/tex]
[tex]P(Odd\ Number) = P(1) + P(3)[/tex]
[tex]P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}[/tex]
Take LCM
[tex]P(Odd\ Number) = \frac{2+1}{7}[/tex]
[tex]P(Odd\ Number) = \frac{3}{7}[/tex]
Comparing P(Odd Number) before and after
[tex]P(Odd\ Number) = \frac{1}{2}[/tex] --- Before
[tex]P(Odd\ Number) = \frac{3}{7}[/tex] --- After
We can conclude that the change to the face 3 affects the value of P(Odd Number)
help pls i need this asap
Simplify the expression. -3(1+n)-6n
Answer:
− 3 − 9 n
Step-by-step explanation:
Simplify the expression
Which is the sum of 8 3/4 +2 1/2?
O A. 11 1/6
B. 11 1/4
O C. 10 1/2
O D. 10 1/4
please help fast
Answer:
B. 11 1/4
Step-by-step explanation:
8 3/4 + 2 2/4 = 11 1/4
We want to sum two mixed numbers.
The correct option is D: 11 1/4
A mixed number is a number that is separated into a whole part and a rational part.
Here we want to sum:
(8 3/4) + (2 1/2)
This can be written as:
8 + 3/4 + 2 + 1/2
Now we group the whole numbers and we group the rational numbers:
8 + 3/4 + 2 + 1/2 = (8 + 2) + (3/4 + 1/2) = 10 + (3/4 + 1/2).
To perform the sum of the rational numbers, we can write:
1/2 = 2/4
Then we have:
10 + (3/4 + 1/2) = 10 + (3/4 + 2/4) = 10 + 5/4 = 10 + 4/4 + 1/4 = 11 + 1/4
Then we can see that the correct option is D.
If you want to learn more, you can read:
https://brainly.com/question/5598559
7(3y – 1) = 119
Please help!!!!
Answer:
y=6
Step-by-step explanation:
7(3y-1)=119 multiple 3y and -1 by 7
21y-7=119 add 7 to 119
21y=126 divide 126 by 21
y=6
A store pays $27 for a ticket to a play and marks the price up by 39%. What is the amount
of the mark-up?
Answer:
first, lets find 39% of 27.
39% of 27=10.53
10.53+27=
37.53
INCOME
Which best describes a budget?
a chart showing a person's expenses for the month
the amount of money a person earns from their job
the amount of money someone spends on items they enjoy buying
a tool for planning the spending and saving of income
Answer:
A tool for planning the spending and saving of income.
Step-by-step explanation:
A budget gets set to someone that has to spend within that amount. Example: If my budget is 20 dollars, I can only spend 20 dollars or less.
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain.
Linda's rats Tuan's rats Javier's rats
43.5 47.0 51.2
39.4 40.5 40.9
41.3 38.9 37.9
46.0 46.3 45.0
38.2 44.2 48.6
Determine whether or not the variance in weight gain is statistically the same among Javier’s and Linda’s rats. Test at a significance level of 10%.
Answer:
The variance in weight is statistically the same among Javier's and Linda's rats
The null hypothesis will be accepted because the P-value (0.53 ) > ∝ ( level of significance )
Step-by-step explanation:
considering the null hypothesis that there is no difference between the weights of the rats, we will test the weight gain of the rats at 10% significance level with the use of Ti-83 calculator
The results from the One- way ANOVA ( Numerator )
with the use of Ti-83 calculator
F = .66853
p = .53054
Factor
df = 2 ( degree of freedom )
SS = 23.212
MS = 11.606
Results from One-way Anova ( denominator )
Ms = 11.606
Error
df = 12 ( degree of freedom )
SS = 208.324
MS = 17.3603
Sxp = 4.16657
where : test statistic = 0.6685
p-value = 0.53
level of significance ( ∝ ) = 0.10
The null hypothesis will be accepted because the P-value (0.53 ) > ∝
where Null hypothesis H0 = ∪1 = ∪2 = ∪3
hence The variance in weight is statistically the same among Javier's and Linda's rats
The sales tax is 5 percent what is the tax on an item that cost $24
Answer:
$25.20
Step-by-step explanation:
5% of 24 = 1.20
REASON: .05=5% (5÷100=.05because % means out of 100 or a ÷ sign)
24+1.20= 25.20
What’s 34 divided 475 remainder:
Answer:
it is 0.07157894737 I am sure
is 4.92 repeating irrational or rational ?
Answer:
Irrational, since it doesn't have a definite value. (It's not like 3.75 or 5)
Hope that helps!
Step-by-step explanation:
Answer A , B , C or D. Need some help!
Answer:
c
Step-by-step explanation:
system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.
Pretend that you and your neighborhood friends decide to make snow ice cream on your snow day. You found the recipe below. To have enough for everyone, you will need 20 heaping cups of clean snow instead of 10. So, you must double the recipe.
Ingredients
1.25 cup milk
1/2 cup sugar
1 ¾ tsp vanilla
⅘ cup sprinkles
10 heaping cups of clean snow
On an American League baseball team with 15 field players and 10 pitchers, the manager must select for the starting line-up, 8 field players, 1 pitcher and 1 designated hitter. A starting line-up specifies the players for these positions and the positions in a batting order for the 8 field players and designated hitter. If the designated hitter must be chosen among all the possible field players, how many possible starting line-ups are there.
Answer:
There are 18,162,144,000 possible starting line-ups
Step-by-step explanation:
The order in which the player are chosen is important, as if two player exchange places, we have a new batting order. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
Batting order:
9 batters(8 field + the designated hitter) from a set of 15. So
[tex]B = P_{(15,9)} = \frac{15!}{(15-9)!} = 1816214400[/tex]
Pitcher:
1 from a set of 10. So
[tex]P = P_{(10,1)} = \frac{10!}{(10-1)!} = 10[/tex]
Total:
[tex]T = B*P = 1816214400*10 = 18162144000[/tex]
There are 18,162,144,000 possible starting line-ups
Solve for C
-1.3 = -0.8+c/3.4
1. write an equvialent expression: -1/2 (-2x + 4y)
2. Factor to write an equivalent expression: 26a - 10.
Answer:
1) x-2y 2) 2(13a-5)
Step-by-step explanation:
1) -1/2(-2x+4y)=2/2x-4/2y=x-2y
2) 26a-10=2(13a-5)
please help me asap
Answer:
60cm
24.84 ft
Step-by-step explanation:
First one:
think that you are moving right small triangle to the left
which makes it 12 x 5 rectangle = 60cm
Second one:
Kind of same way
which makes it 10.8 x 2.3 = 24.84
pls thanks and brainest
If 2 /10 = 1/5, how many fifths must be added together to make 6/10 ?
Answer:
3, fifths should be added.
2/10 = 1/5
4/10 = 2/5
6/10 = 3/5
Divide the tenth fractions by two, to get the anwser on the right.
Answer:
3......
Step-by-step explanation:
6 divided by 2 is 3
Find (−2)(−8). please.
Answer:
16
Step-by-step explanation:
factor this polynomial x^2 -3x^3 +10x^7
Which of the following statements is true? A square is ALWAYS a rectangle. A rectangle is ALWAYS a square. A rectangle is NEVER a square. A square is NEVER a rectangle.
Answer:
A square is always a rectangle
Step-by-step explanation:
During a sale the price of a digital camera is reduced by $63 from the original price of 180 by what percentage is the price of the camera reduced
Answer:
63/180 = 0.35 = 35%
Step-by-step explanation:
^
Please help with these questions!!! Having trouble solving them
Answer: 2y/w-3x
That should be correct
Carlos drew a rectangle that
had a length of 9 inches and a
width of 4 inches.
Find the Area:
Find the Perimeter:
Find the Product.
Answer:
Area: 36 inches
Perimeter: 26 inches
Step-by-step explanation:
:)
Answer:
the area is 36 inches
the perimeter is 26 inches
the product is 132
Step-by-step explanation:
Area is length times width so.....
9×4=36
Perimeter is the distance around the shape 9+9+4+4=26
Product means to times so 80×52=132
Is 18.4 rational or irrational ?
Answer:
It is Rational.
Step-by-step explanation:
Answer:
It 18.4 is rational
Step-by-step explanation:
........
The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it is known that parabola opens upward.
Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as: [tex]A_{t}=\frac{b.h}{2}[/tex].
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is
[tex]10=\frac{5.a}{2}[/tex]
5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.
Answer: a = 2/3
Step-by-step explanation:
y-intercept: y=a(2)(-3) = -6a
x-intercepts: (-2,0) , (3,0)
height = -6a
base = 5
Area = 10 = 0.5 x 5 x -6a
10 = -15 a
a = -2/3
BUT a>0 since it opens upwards, so:
a = 2/3
Is this correct ?
F(4)=2(4 -1) (4-5)
F=-0.6666
Which graph displays the solution to the system of equations shown?
If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?
Answer:
1.5 miles
Step-by-step explanation:
1.5 miles
Since there are 60 minutes in an hour, the person will walk 60/10 = 6 times as much in 1 hour. If that person can walk 1/4 mile in 10 minutes, she will walk (1/4)*6 = 1.5 miles in 1 hour.
Answer:
1 and 1/2 mile
Step-by-step explanation:
The equation would be 1/4 times 6/1 because 60 divided by 10 is 6
1/4 times 6/1 is 6/4
simplified the answer is 1 and 1/2
Mikayla worked the same number of hours each day for 4 days during one week. She worked less than 20 hours total for that week. Which graph represents the number of hours per day she could have worked? (Assume the number of hours is greater than 0.
Answer:
She worked 5 hours a day
Step-by-step explanation:
20 / 4 = 5
You got no graphs btw :/
But hope I help a lil bit :]
Answer:
80 hours
Step-by-step explanation:
20 times 4
Please help me answer this:)
Will give you brainlst ^
Okay, got it!
Here's the graph (sorry if it's confusing I'm going to try my best)
Print Electronic Total
Youths 33 28 61
Adults 33 37 70
Total 66 65 131
Hope this helps!