Answers
7 blue cards
26 total cards
probability = 7/26
Related Questions
In triangle ∆PQR, C is the centroid.
a. If CY = 10, find PC and PY
b. If QC = 10, find ZC and ZQ
c. If PX = 20, find PQ
Answers
Because C is the centroid, therefore:
Segments PZ = ZR; RY = YQ; QX = XP
A.
If CY = 10, then
PC = 2*CY = 20
PY = PC + CY = 20 + 10 = 30
Answer: PC = 20 PY = 30
B.
If QC = 10, then
ZC = QC/2 = 5
ZQ = ZC + QC = 5 + 10 = 15
Answer: ZC = 5 ZQ = 15
C.
If PX = 20
Because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer: PQ = 40
Find all the real square roots of 0.0004.
A. 0.00632 and -0.00632
B. 0.06325 and -0.06325
C. 0.0002 and -0.0002
D. 0.02 and -0.02
Answers
real square roots of 0.0004 = +/- 0.02
answer
D. 0.02 and -0.02
Eight less than a number is seventy-five. What is the number? -67 67 83
Answers
8-75 = x
x=8+75
x= 83
the number is 83
What is the sum of the measures of the exterior angles in a heptagon? Explain
Answers
In attachment, help please 1 QUESTION, BRAINLIEST GETS 20 PTS
Answers
______________________________________________________
Answer:
Above is the right answer he got here first so give him brainiest
I already answered this but I just want to make sure if I did it right
Answers
An increase in the money supply that causes money to lose its purchasing power and prices to rise is known as______________
Answers
Inflation is the rate of increase in prices over a given period of time. Inflation is typically a broad measure, such as the overall increase in prices or the increase in the cost of living in a country
Answer: An increase in the money supply that causes money to lose its purchasing power and prices to rise is known as Inflation.
Inflation means an increase in the money supply that causes money to lose its purchasing power and prices to rise.
As in case of inflation situation, prices get rise because of increase in the money supply to reduce the purchasing power of the individual or firms.
Measures to rectify the inflation :
1) Fiscal expenditure
2) Revenue expenditure
3) Reduction in deficit financing
Hence, Inflation is the correct answer.
Anita and Joelle bowled together and their combined total score for one game was 425 points. Anita’s score was 40 less than twice Joelle’s. What were their scores? Write a system of equations to model the problem if x represents Joelle’s score and y represents Anita’s score.
Answers
y=2x-40
Use substitution.
x+(2x-40)=425
3x-40=425
3x= 465
x=155
Plug in x value
y= 2(155)-40
y= 310-40
y= 270
Final answer: Anita-270, Joelle-155
Which of the following is equivalent to 36^1/2?
A) –18
B) –6
C) 1/18
D) 1/6
Answers
Thus, it is (B)
√36=±6
So the square root of 36 is 6 and -6, and only -6 is among your choices.
given the polynomail function below, find f(-5) f(x)=x^2-2x-7
Answers
a randomly generated list of numbers from 0 to 4 is being used to simulate an event with numbers 3 and 4 representing a success. what is the estimated probability of a success
A. 75%
B. 60%
C. 25%
D. 40%
Answers
Answer: 40% appex
Step-by-step explanation:
The probability of success, where success is defined as generating a 3 or 4 in a random list of numbers from 0 to 4, is 40%.
To calculate the probability of success in a random number generation scenario. The numbers 0 to 4 are possible outcomes, with 3 and 4 being defined as success. There are 5 equally likely outcomes in total, and 2 of these (3 and 4) represent success. Hence, the probability of success (P(success)) is calculated as the number of successful outcomes divided by the total number of possible outcomes.
P(success) = Number of successful outcomes / Total number of outcomes
P(success) = 2/5
This fraction simplifies equals 0.4, which, when converted into a percentage, results in a 40% chance of success. Therefore, the correct answer is D. 40%.
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the number of weeks in the course Person discovers that using the inverse function to solve for x=30, he can predict when he will have 30 assignments completed explain to Pedro how to accomplish this using complete sentences
Answers
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.
Are the functions f(x) = (x^2-1)/(x-1) and g(x)= x+1 equal for all x?
Answers
[tex]\bf f(x)=\cfrac{x^2-1}{x-1}\implies f(x)=\cfrac{x^2-1^2}{x-1}\implies f(x)=\cfrac{(\underline{x-1})(x+1)}{\underline{x-1}} \\\\\\ f(x)=x+1\qquad \qquad \qquad \qquad \qquad g(x)=x+1\\\\ -------------------------------\\\\ \textit{they're, kinda, except that, when x = 1} \\\\\\ g(x)=(1)+1\implies g(x)=2 \\\\\\ f(x)=\cfrac{(1)^2-1}{(1)-1}\implies f(x)=\cfrac{0}{0}\impliedby und efined[/tex]
Let log p/n=6 and log m/n=8 what is the relationship between p and m?
Answers
log p/n = log p - log n = 6
log m/n = log m - log n = 8 subtract
log m - log p = 2
log m/p = 2
So m / p = 100
Given the logarithmic equations, it can be deduced that m is 100 times greater than p, assuming n>0 which is not zero to avoid division by zero and it is positive as logarithm is undefined for negative numbers.
Explanation:The question asks to find the relationship between p and m given two log equations. Using the rule of logarithms The logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers (also known as the quotient rule), we can work out the relationship.
Given that log p/n = 6, it can be rearranged in exponential form: p = 106*n. And log m/n = 8 can be rewritten as m = 108*n.
Therefore, the relationship between p and m is that m is 100 times p, assuming n>0.
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Derive the equation of the parabola with a focus at (−2, 4) and a directrix of y = 6. Put the equation in standard form.
Answers
My formula is (x-h)^2=4p(y-k), now just plug in numbers. You should end up with (x+2)^2=-4(y-5).
Some instructors want you to write (y-k)=1/(4p)(x-h)^2 which is the same thing, so check to see which one you should be using.
Answer: f(x) = -1/4x² -x + 4
The area of an artist's square canvas can hold 113 square inches of paint. What is the approximate length of one side of the canvas? (Approximate to the nearest hundredth inch.)
10.62 inches
10.63 inches
10.64 inches
10.65 inches
Answers
A=xy, and a square is just a special rectangle where the two dimensions are equal. x=y=s, where s is the side length so the area of a square is:
A=s^2 we want to solve for s so
s^2=A
s=√A, and we are told that the area is 113 in^2
s=√113 in
s≈10.63 in (to nearest hundredth of an inch)
The area of the square canvas is the square of its side length
The length of the side of the square canvas is 10.63 inches
The area the square canvas can hold is given as:
[tex]Area=113in^2[/tex]
The canvas has a square as its shape, and the area of a square is:
[tex]Area = L^2[/tex]
Where:
L represents the length of the shape (i.e. the square canvas)
So, we have:
[tex]L^2 = 113[/tex]
Take square roots of both sides
[tex]L = \sqrt{113[/tex]
Take the square root of 113
[tex]L = 10.63[/tex]
Hence, the length of the side is 10.63 inches
Read more about areas at:
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The length of a rectangle is 11 ft less than three times the width, and the area of the rectangle is 70 ft2 . find the dimensions of the rectangle.
Answers
also
lw = 70
substituting for l:-
(3w-11)w = 70
3w^2 - 11w - 70 = 0
(3w + 10 )(w - 7) = 0
w = 7 or -10/3 (ignore the negative root)
So the width is 7 and the length = = 70/w 70/7 = 10
The width and length of the rectangle is 7ft and 10 feet respectively.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, The length of a rectangle is 11 ft less than three times the width has an area of 70ft².
Assuming the width of the rectangle to be x ft, therefore the length of the rectangle is (3x - 11) ft.
We know the Area of a rectangle (A) = length×width.
∴ x.(3x - 11) = 70.
3x² - 11x = 70.
3x² - 11x - 70 = 0.
3x² - 21x + 10x - 70 = 0.
3x(x - 7) + 10(x - 7) = 0.
(x - 7)(3x + 10) = 0.
x - 7 = 0 Or 3x + 10 = 0.
x = 7 Or x = - 10/3.
A negative value of x is inadmissible here as length cannot be negative.
So, the width of the rectangle is 7 ft and the length of the rectangle is
10 ft.
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At what value of x does the graph of the function f(x) have a vertical asymptote?
F(x) = 5X/ 2X-6
Answers
2x-6=0
2x=6
x=3
So the vertical asymptote is the vertical line x=3
PLS HELP ILL GIVE BRAINLIEST TO WHO EVER ATTEMPTS THIS: The function H(t) = −16t2 + 112t + 24 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball moves in the air along a path represented by g(t) = 5 + 3.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.
Part A: Create a table using integers 4 through 7 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points)
Answers
The table of h(t) and g(t) for the value of x between 4 and 7 inclusive are shown below.
The solution for h(x)=g(x) lies between x = 4 and x = 5, this is becuase the range of value given by h(4) and h(5) and g(4) and g(5).
The graph is shown in picture 2 to confirm this. The two functions intersect each other between x = 4 and x = 5
PART B:
The point of intersection is the point where the cannon balls will collide.
Solve the quadratic equation by completing the square.
x^2-10x+15=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Form:
( x + _ )^2 = _
or
( x - _ )^2 = _
Solution:
x = _
Answers
[tex](x-h) ^{2} +k=y[/tex]
When you complete the square the steps are these:
[tex] x^{2} -10x=-15[/tex]
[tex] x^{2} -10x+25=-15+25[/tex]
[tex](x-5) ^{2} =10[/tex]
and x = 5
1) What kind of figure is formed by the cross section below?
square
rectangle
circle
ellipse that is not a circle
Answers
an article with a net weight of 10 lb (pounds) is packaged in a box that weighs 1/2 lb. If 20 of these boxed articles are put into a freight container 15 lb, what is the gross weight?
Answers
the box is 1/2 lb....so 20 of them = (1/2 * 20) = 10 lbs
the freight container is 15 lbs
for a total of : 200 + 10 + 15 = 225 lbs <==
Final answer:
The gross weight of the freight container with 20 boxed articles inside is 225 lb, calculated by adding the total weight of all the boxed articles (210 lb) to the weight of the container (15 lb).
Explanation:
To calculate the gross weight of the freight container with the packaged articles inside, we need to add the weight of the articles, the boxes, and the container itself.
First, we calculate the weight of one boxed article. Since the net weight of the article is 10 lb and the box weighs 0.5 lb, the total weight for one boxed article is 10 lb + 0.5 lb = 10.5 lb.
Next, we multiply the weight of one boxed article by the number of articles to find the total weight of all the boxed articles. For 20 articles, this is 20 imes 10.5 lb = 210 lb.
Finally, we add the weight of the freight container. The container weighs 15 lb, so the gross weight of the container with the articles is 210 lb + 15 lb = 225 lb.
Therefore, the gross weight of the freight container with 20 boxed articles inside is 225 lb.
Angle c and angle d are supplementary, the measure of angle d is eight times the measure of angle
c. find measure of angle c and measure of angle d
Answers
d = 180 - c
and
d = 8c (given)
8c = 180 - с
8с + с = 180
9с = 180
с = 180/9
m∠с = 20°
m∠d = 8c = 8*20 = 160°
Answer:
160
Step-by-step explanation:
Solve :
3x − 6 = 2x − 1
Answers
3x - 6 = 2x - 1
This is a basic algebra problem - our goal is to solve for x.
First, we need to get x on one side of the equation.
3x - 6 = 2x - 1
Subtract 2x from both sides.
x - 6 = -1
Now, we must isolate x.
Add 6 to both sides.
x = 5
I hope this helps!
y varies inversely with x
k = 0.6
What is the value of x when y is 0.6?
Answers
to find X when K is known
divide K by Y
0.6/0.6 = 1
X = 1
The point P(12, 16) is on the terminal side of θ. Evaluate tan θ.
Answers
Answer:
tan(θ)=4/3
Step-by-step explanation:
Since opposite leg of the reference triangle equals 16 and the adjacent leg equals 12, tan(θ)=16/12 simplified to tan(θ)=4/3.
A mother has 3 kids. Kid A is half the mother's current age. Kid B is 4 years younger than Kid A. In 3 years, Kid C will be 1/5 of his mother's age (not her current age). The sum of all their current ages is the mother's current age.
How old is the mother currently?
How old is each of her kids?
Answers
i)
"Kid A is half the mother's current age."
thus, the age of Kid A is G/2
ii)
"Kid B is 4 years younger than Kid A."
this means, the age of Kid B is the age of Kid A - 4 = G/2 - 4
iii)
"In 3 years, Kid C will be 1/5 of his mother's age (not her current age). "
thus, in 3 years the age of Kid C will be 1/5(G+3)=1/5G+3/5
this means that the current age of Kid C is
1/5G+3/5-3=1/5G+3/5-15/5=1/5G-12/5 = (G-12)/5
The ages of the Kids A, B and C are:
G/2 , G/2 - 4, (G-12)/5
From the smallest Child's age (G-12)/5 we understand that G-12 is a multiple of 5,
so G-12 ∈{5, 10, 15, 20, 25, ....}
which means G∈{17, 22, 27, 32, 37, 42, 47, 51, 56, 61... }
From the age of the oldest child G/2, we understand that G must be an even number (so that G/2 is a whole number).
This means that G∈{22, 32, 42, 56,...}
If G was 22, the oldest child would be 11, which makes no sense
If G is 32, the oldest child is 16, which means the woman became a mother at the age of 16, which is rare, but possible.
then G/2=16 , G/2 - 4=12, (G-12)/5=(32-12)/5=20/5=4
If G is 42, her oldest child is 21, no more a "kid", but still, lets consider this case:
the age of the second child is 21-4=17, and the youngest (42-12)/5=6
Answer:
The Plausible cases are :
i) mother: 32, children 16, 12, 4
ii) mother: 42, children : 21, 17, 6
Final answer:
The mother is currently 40 years old. Kid A is 20 years old, Kid B is 16 years old, and Kid C is 36 years old.
Explanation:
Let's denote the mother's current age as M. Kid A's age is A = M/2. Kid B is 4 years younger than Kid A, so B = A - 4 = M/2 - 4. Kid C will be 1/5 of his mother's age in 3 years, so if we denote Kid C's current age as C, we have C + 3 = 1/5(M + 3). The sum of all their current ages is the mother's current age, so M = A + B + C. With these equations, we can solve for M, A, B, and C.
We substitute A and B into the mother's age equation: M = M/2 + M/2 - 4 + C. Rearranging terms, we get M - 4 = C. Now we have two expressions for C: M - 4 and 1/5(M + 3) - 3. Setting them equal to each other, we get M - 4 = 1/5(M + 3) - 3. Solving for M, we find that M = 40 years old.
Now we can find Kid A, B, and C's ages using the mother's age. Kid A is half the mother's age, A = M/2 = 20 years old. Kid B is 4 years younger than Kid A, B = A - 4 = 16 years old. Kid C's age can be found by the substitution, C = M - 4 = 36 years old. So the mother is 40 years old, Kid A is 20 years old, Kid B is 16 years old, and Kid C is 36 years old.
Iodine-123 is a radioactive substance used in medicine. It has a half-life of 13 hours. A nurse received a solution that initially contained 48 grams of iodine-123. Now only 12 grams of the iodine-123 remain. How many hours have passed since the nurse received the solution?
Answers
A=P(1/2)^(t/h)
A=amount final
P=initial amount
t=time elapsed
h=time of half life
so
given h=13
and initial =48g
and final is 12g
12=48(1/2)^(t/13)
divide both sides by 48
1/4=(1/2)^(t/13)
what a coincidence
(1/2)^2=(1/2)^(t/13)
so
2=t/13
26=t
26 hours have passed
A bus averages 60 mi/h traveling to its destination in the first half of its trip through an expressway and 72 mi/h in the second half traveling through a motorway. What is the bus's average speed for the entire trip rounded to the nearest tenth?
A) 64.2 mi/h
B) 63.0 mi/h
C) 65.5 mi/h
D) 66.0 mi/h
Answers
Answer:
The correct answer is 65.5 mi/h
Hope this helps :)
Prove that a set with n elements has 2n subsets.
Answers
([tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex] denotes the binomial coefficient)
Similarly, there are [tex]\dbinom n1[/tex] possible subsets consisting of only one element that can be taken from the larger set, [tex]\dbinom n2[/tex] subsets consisting of two members, and so on, which means the total number of possible subsets that can be chosen is
[tex]\displaystyle\binom n0+\binom n1+\cdots+\binom n{n-1}+\binom nn[/tex]
[tex]=\displaystyle\sum_{k=0}^n\binom nk[/tex]
Writing this as
[tex]=\displaystyle\sum_{k=0}^n\binom nk1^{n-k}1^k[/tex]
we can apply the binomial theorem, which states that this is equivalent to [tex](1+1)^n=2^n[/tex].
The number of electrons in the shell equals 2n² and in each subshell is 2(2l + 1), derived from the quantum mechanical principles and the Pauli exclusion principle governing electron arrangement in atoms.
Explanation:To prove that the number of electrons in the shell equals 2n² and that the number in each subshell is 2(2l + 1), we need to use the quantum mechanical principles that govern the arrangement of electrons in an atom. According to the quantum model, each electron in an atom is described by four quantum numbers: n, l, mi, and ms. The principal quantum number n represents the shell level, the angular momentum quantum number l describes the subshell (with values ranging from 0 to n-1), the magnetic quantum number mi describes the orientation of the subshell (ranging from -l to +l), and the spin quantum number ms indicates the electron's spin (which can be +1/2 or -1/2).
Each shell level n can have subshell values from 0 to n-1. For each value of l, there are 2l+1 possible values for mi, and for each mi, there can be two electrons (one with spin up and one with spin down, according to the Pauli exclusion principle). Therefore, the maximum number of electrons in any subshell is 2(2l+1). Summing over all values of l will give the total number of electrons in a shell, which is 2n². This follows from considering all possible orientations and spin states for each value of l within a shell. For the n=2 shell as an example, there are l=0 and l=1 subshells. The s subshell (l=0) can hold 2 electrons, and the p subshell (l=1) can hold 6 electrons, for a total of 2(2^2) = 8 electrons in the n=2 shell. Using similar calculations for other values of n will confirm the general formula.
The application of the Pauli exclusion principle ensures that no two electrons can have the same set of all four quantum numbers, which fundamentally limits the number of possible electrons in a subshell and a shell.