1/10 or 10%.
First, you add up all the quarters to get the total amount of possibilities for the first quarter that gets pulled out.
4 NY + 3 PA + 3 VI = 10 total quarters.
So the total number of quarters becomes the denominator for the first probability, and the total number of PA quarters becomes the numerator.
So the probability of Jim pulling out a PA quarter first is 3/10.
Now you have to find the probability of drawing a VI quarter as the second quarter. Since it's known that Jim would have already pulled 1 quarter out, that means the total number of quarters he could draw is now 9, so 9 would be the denominator of the second probability. Since there should be 3 VI quarters left still in his pocket, the numerator for the second probability is 3.
So the probability of Jim pulling out a VI quarter second is 3/9.
Now to get the final probability of Jim pulling out both a PA quarter and a VI quarter in the correct order, all you have to do is multiply the two probabilities together and then you should get the probability of the correct quarters being pulled out inn the correct order.
The first probability, 3/10, times the second probability, 3/9 equals the total probability of 9/90, and it simplifies to 1/10 or 10%
Simplify 15 – 3(6 – 4).
Question 11 options:
A)
9
B)
24
C)
68
D)
3
Answer:
A) 9
Step-by-step explanation:
15 - 3(6 - 4)
= 15 - 3(2)
= 15 - 3 x 2
= 15 - 6
= 9
The given expression is equivalent to 9 The correct answer is option A) 9.
To simplify 15 - 3(6 - 4), we follow the order of operations (PEMDAS/BODMAS):
Step 1: Start with the innermost parentheses (6 - 4):
15 - 3(2)
Step 2: Next, perform the multiplication:
15 - 6
Step 3: Finally, do the subtraction:
9
The correct answer is option A) 9. The explanation shows how we first evaluate the expression inside the parentheses (6 - 4), then perform the multiplication (3 times 2), and finally subtract the result (6) from the initial value (15) to get the final answer of 9.
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David has available 2800 yards of fencing and wishes to enclose a rectangular area. Express the area A of the rectangle as a function of the width W of the rectangle.
Answer:
The area of the rectangular area is (1400w-w²) square yards.
Step-by-step explanation:
Given that,
David has available 2800 yards of fencing. He wants to enclose a rectangular area.
Assume that, the length and width of the rectangular be l and w respectively.
The perimeter of the rectangular area is
=2(length+ width)
=2(l+w)
So,
2(l+w)= 2800
[tex]\Rightarrow l+w= \frac{2800}{2}[/tex]
[tex]\Rightarrow l+w= 1400[/tex]
[tex]\therefore l= 1400-w[/tex]
The area of the rectangular area is = length× width
=l×w
=(1400-w) w
=(1400w-w²) square yards.
Final answer:
The area A of the rectangle can be expressed as a function of the width W by using the equation 2L + 2W = 2800, where L represents the length of the rectangle. The formula for the area of a rectangle is A = L * W, substituting the value of L in terms of W, we get A = ((2800 - 2W)/2) * W.
Explanation:
To express the area A of the rectangle as a function of the width W, we need to understand that a rectangle has two equal lengths and two equal widths. Let's assume the length of the rectangle is L. Since the perimeter of the rectangle is 2800 yards, we can write the equation: 2L + 2W = 2800.
Now, we can express L in terms of W: L = (2800 - 2W)/2. The area of the rectangle is given by the formula A = L * W. Substituting the value of L, we get A = ((2800 - 2W)/2) * W.
This is the function that expresses the area A as a function of the width W.
What is the sum of 7/18 + 14 1/9 ?
Answer:
14 9/18 (or
Step-by-step explanation:
The sum of 7/18 + 14 1/9 are
7/18 + 14 1/9
7/18 + 14 2/18 <= Make the fraction the same denominator
14 9/18 <= Simplify the Fraction
14 1/2
Hope this helps! Make sure to give me the brainliest answer, if you like my answer. It will be greatly appreciated!
Answer:
14 1/2
Step-by-step explanation:
please help me with this question asap.
Answer:
the second one
Step-by-step explanation:
the second one
Answer:
The second one
What is the slope in the non proportional linear equation y= 2x + 5 ?
Answer:
2
Step-by-step explanation:
The slope is always whatever you multiply your x value by.
Show that 9^n can't end with 2 for any integer n.
Please tell me fast!
Answer:
i have no idea ask one of your dorm roomates.
Step-by-step explanation:
Which is greater 0.485 or 0.52?
Answer:
0.52
Step-by-step explanation:
because 0.485 rounds up to 0.49 or up by tenths would be 0.50
which is still less than 0.52
Hope this helps!
Answer:
0.52
Step-by-step explanation:
Which number is higher 4 or 5. Just because it of a decimal doesn’t mean the greatness of the number changes.
Hope this helps
Please mark me as Brainliest
115.9 rounded to the nearest hundred
Answer:
100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
115.9 is closer to 100 then it is to 200, so round down to 100
Which expression shows a sum of four terms?
a. 4 + x + 4 + x
b. x4
c. 4(x + 4)
d. 4x
Answer:
a
Step-by-step explanation:
Answer:
I think c MAYBE dont quote me on it tho
-12 = 4 is equivalent to?
Answer:
no
Step-by-step explanation:
if you multiply 4 by -3 you get -12 tho
Punkt p (1;2k+1) należy do wykresu funkcji f(x)=-4x2+7. Oblicz k
Answer:
k = 1
Step-by-step explanation:
English Translation
Find k if the point P (-1, 2k + 1) belongs to the graph of the function f (x) = - 4x^2 + 7.
The function is given as
y = f(x) = -4x² + 7
and point (-1, 2k+1) lies on the graph.
This point means that, at x = -1, y = 2k+1
y = -4x² + 7
Substituting the values in
2k + 1 = -4(-1)² + 7
2k + 1 = -4 + 7 = 3
2k = 3 - 1
2k = 2
k = 1
Hence, the point (-1, 2k+1) is (-1, 3)
To check,
y = -4x² + 7
3 = -4(-1)² + 7
3 = -4 + 7
3 = 3
So, this is truly correct.
Hope this Helps!!!
What percent of 125 is 25?
Answer:
20%
Step-by-step explanation:
Step-by-step explanation:
When you check in percentage calculator the answer is 6.25
a. The windows and door will not be painted. Calculate the area of the wall that will be painted
b. If a quart of Extra- thick exterior paint covers 30 Square feet, how many quarts must be purchased for the painting job? (SHOW WORK THANK YOU) (PICTURE IS ABOVE)
Given:
A rectangular wall with 2 windows and a 1 door.
To find:
The area of the wall and the amount of paint required to cover the wall.
Solution:
The area of the wall can be determined by subtracting the areas covered by the windows and the door from the area of the entire wall.
The entire wall has a length of 12 feet and a width of 8 feet.
The area of a rectangle [tex]=(l)(w).[/tex]
The area of a square [tex]= a^{2} .[/tex]
The entire wall's area [tex]= (12)(8)= 96[/tex] square feet.
The door has a length of 3 feet and a width of 6 feet.
The area of the door [tex]=(3)(6)=18[/tex] square feet.
The windows are in the shape of a square.
The side length of the windows is 2 feet.
The area of a window [tex]= 2^{2} =4[/tex] square feet.
The area of 2 windows [tex]= 2(4) = 8[/tex] square feet.
The area of the wall [tex]=96-18-8=70[/tex] square feet.
If a quart of extra-thick exterior paint covers 30 square feet, then 70 square feet will need;
The paint needed to cover 70 square feet [tex]= \frac{70}{30} = 2.333[/tex] quarts.
So the area of the wall was 70 square feet and 2.333 quarts of extra-thick exterior paint is required to cover the wall.
What could describe Anita’s race from minute 3 to minute 5?
Answer:
b) She stopped to change a flat tire.
Step-by-step explanation:
I'm assuming the y-axis of the graph says distance.
Over time, Anita did not move at all which indicates that she stopped. There is nothing to do with speed in this question do you can take out answers a) and d). c) is pretty irrelevant because why would Anita continue riding her bike after if she already won. So the answer is b) She stopped to change a flat tire.
Hope this helped! :)
Identify the equation of the translated graph in general form ** + y^ = 7 for T(-8.4)
a. x2 + y2 + 16x - 8y + 73 = 0
c. x2 + y2 + 16x + 8y + 73 = 0
b. x2 + y2 + 8x - 4y - 73 = 0
d. x2 + y2 + 8x + 4y + 73 = 0
Please select the best answer from the choices provided
Answer: A) x2+y2+16x-8y+73=0
Step-by-step explanation:
I got it right on edge.
The generic version of the circle equation is, x² + y² + 16x - 8y + 73 = 0.
Definition of circle:
A circle is a closed two-dimensional object in which all points in the plane are equidistant from a single point known as the "centre." The line of reflection symmetry is formed by every line that travels through the circle. For any angle, it also exhibits rotational symmetry around the center.
Step-by-step:Step 1:
The conventional form of the circle equation is expressed as:
(x - a)² + (y - b)² = r²
where centers are specified as (a,b)
The circle equation given in the question is:
x² + y² = 7
If the circle is translated T(-8,4), the center of the translated circle is located at (-8,4).
As a result, the conventional version of the circle equation is:
(x + 8) ² + (y - 4) ² = 7
Step 2:
Simplifying the problem:
(x² + 64 + 2(x)(8)) + (y² + 16 - 2(y)(4)) = 7
x² + 64 + 16x + y² + 16 - 8y = 7
x² + y² + 16x - 8y + 80 = 7
x² + y² + 16x - 8y + 80 - 7 = 0
x² + y² + 16x - 8y + 73 = 0
which is the generic version of the circle equation.
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What statements are correct? Check all that apply.
The conditional probability formula is P(
X
Y) = Pan
PO
The conditional probabilities P(
D N) and P(N | D) are equal for any events D and N.
The notation P(
R S) indicates the probability of event R, given that event S has already occurred.
Conditional probability applies only to independent events.
Conditional probabilities can be calculated using a Venn diagram
Answer:
a,c and e are right on edge
Imagine that you are eating at a restaurant with your friends. You and your best friend, Arabella, are seated at opposite ends of a large table, and
Arabella orders first. The probability that both you and Arabella end up ordering vegetable soup is in simpler terms, if the probability that you
order vegetable soup is P(A), and the probability that Arabella orders vegetable soup is PB), then is the probability of A and 8, or P(A and B).
The probability that you order vegetable soup given that you know that Arabella has ordered its P(
A B) = What is the probability that
Arabella orders vegetable soup?
Answer:
3/4
Step-by-step explanation:
Answer:
P(A | B) = P(A and B)/P(B)
1/3 = (1/3)/P(B)
P(B)=3/4
Step-by-step explanation:
EDMENTUM
TV
A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by
the equation h = -6t2 + 6t where h is the frog's height at any given time, t. How many
seconds until the frog is back on the ground?
2 seconds
1.5 seconds
3 seconds
1 second
0.5 seconds
Answer:
Step-by-step explanation:
Model of the frog jump is
h = -6t² + 6t
When will the frog be on the ground? The frog will be on the ground at h=0
Therefore,
0 = -6t² + 6t
Divide through by 6
0 = -t² + t
0 = t(-t + 1)
So, t = 0 OR. 0 = -t + 1
So, t = 0. OR. t = 1
So, we should note that, at t = 0, was when he wanted to lift of from the ground... So, t = 0 will be discarded
So, at t = 1 is when the frog is back to the ground.
It is like it starts from the ground at the 0 seconds and get backs to the ground at 1 seconds
I hope this helps!!!
The population in a small town is increasing annually by 1.8%. What is the quarterly rate of population increase
Quarterly Rate means the per annum interest rate to be determined for the Bonds on a quarterly basis and the quarterly rate of population increase [tex]0.00447[/tex].
What is quarterly?
If the rate of interest is annual and the interest is compounded quarterly then the number of years [tex](n)[/tex] is [tex]4 times[/tex] and the rate of annual interest [tex](r)[/tex] is one-fourth.
Here given that the annual rate is [tex]r=0.018[/tex].
And the exponential growth function is
[tex]y=a(1+r)^{x} ...(1)[/tex]
where [tex]a[/tex] is the initial amount
and [tex]r[/tex] is the rate of growth.
So, By equation [tex](1)[/tex], we get
[tex]y=a(1+0.018)^{t}\\y=a(1.018)^{t}[/tex]
The quarterly growth rate, the exponent is the number of quarters in [tex]t years[/tex] or [tex]4t[/tex].
So, by multiplying the exponent by [tex]\frac{4}{4}[/tex], the [tex]4t[/tex] represents the number of quarters
[tex]i.e., y=a(1.018)^\frac{4t}{4}\\y=a(1.018^\frac{1}{4})^{4t}\\y=a(1.00447)^{4t}\\[/tex]
Hence, the quarterly growth rate is [tex]1.00446[/tex], now we subtract it with [tex]1[/tex] so it is of the form:-
[tex]1.004477-1=0.00447[/tex]
which implies that the population is increasing.
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A line parallel to $3x-7y = 65$ passes through the point $(7,4)$ and $(0,K)$. What is the value of K?
Answer:
1
Step-by-step explanation:
Hi, its you again lol.
I am in elementary btw.
I don't want to put the equation down.
Answer:
1
Step-by-step explanation:
AoPs Algebra ~ Graphing Multiple Lines Question
Which of the following are perfect powers?
W
24
27
081
99
100
Answer:
81 and 100
Step-by-step explanation:
9 x 9 = 81
and...
10 x 10 = 100!
The others doesn't match the rules stated-
3 x 8 = 24, 2 x 12 = 24, 4 x 6 = 24, but no number that are the same multiply together to equal 24(that's also an integer)
All the others are the same way-
Hope this helps!
Answer: 27, 81, 100
Those are the answers.
A coin is tossed 12 times. What is the probability of getting heads exactly 7 times?
Answer:
Once the number of possible heads and tail in 12 tosses is [tex]2^{12} =4096[/tex]
[tex]\frac{12!}{\left(7!\right)\left(5!\right)}\\\\\frac{12\cdot \:11\cdot \:10\cdot \:9\cdot \:8}{5!}\\\\\frac{95040}{120}\\\\792[/tex]
So the probability of getting exactly 8 heads in 12 coin tosses is: [tex]\frac{792}{4096}[/tex]
dan made $242 for 11 hours of woke. At the rate how many hours would he have to work to make $154
Answer:
14
Step-by-step explanation:
Answer:
The answer to your question is Dan worked 7 hours
Step-by-step explanation:
Data
Money made $242 / 11 h
Money made $154 / ?
Process 1
1.- Determine the money made in one hour using proportions and cross multiplication
$242------------------------ 11 h
x ------------------------ 1 h
x = (1 x 242)/11
x = $22
2.- Use proportions to determine the hours he work to made $154
$22 -------------------- 1 h
$154 -------------------- x
x = (154 x 1) / 22
x = 154/22
x = 7 hours
help plzzzzz its hard
Answer:
Hehe Hopefully I'm the first one to help you
Step-by-step explanation:
Answer: I don't know....I'm here for emotional help cuz I'm also struggling in geo rn TwT. I relate to you so yea... Ily and I need more points to ask more questions about geo haha. Supporting you tho
Answer:
The surface area is 259.94 and the volume is 149.81
Step-by-step explanation:
Margret is more than 3 feet tall. Which inequality represents her height?
Answer:
h > 3
Step-by-step explanation:
If h is Margrets' height then her height is greater than 3 or h > 3
What is not always true about 2 regular pentagons
Answer:
b
Step-by-step explanation:
The two regular pentagons could be differnt sizes, so they are not all congruent hope this helps :)
The expression 11(1.022)^t11(1.022)
models the per capita gross domestic product (GDP) of the US, in thousands of dollars, as a function of the number of years since 195019501950.
What does 1.022 represent in this equation
Answer: growth factor = 1.022
Step-by-step explanation:
The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%
What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US
Answer:
The per capita GDP in the US is multiplied by approximately 1.0221.0221, point, 022 each year.
Step-by-step explanation:
PLEASE I NEED THE ANSWER QUICKLY BEING TIMED!!! 20 MINUTES LEFT
Answer:
Step-by-step explanation:
B) 360 in²
3 rectangles + 2 triangles
(10×12) + (10×13) + (10×5) + 2(½×12×5)
= 120 + 130 + 50 + 60
= 360 in²
In the figure shown, triangle PQR is transformed to create triangle P'Q'R'.
Point S will be transformed the same way as triangle PQR. Which sentence could describe how point S will be transformed?
A) Point S will be translated to (6, 0) and then rotated to (0, 6).
B) Point S will be translated to (6, 0) and then rotated to (0, −6).
C) Point S will be translated to (4, 3) and then reflected to (−4, 3).
D) Point S will be translated to (4, 3) and then reflected to (4, −3)
Answer:
D) Point S will be translated to (4, 3) and then reflected to (4, −3)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
Answer:
[tex]x^2-12x+27 =0[/tex]
Step-by-step explanation:
Given a Parabola that intersects the x-axis at x=3 and x=9.
I presume you want to determine the equation of the parabola.
You can use this form:
Given roots of a parabola, the equation of the parabola is derived using the formula:
[tex]x^2-($Sum of Roots)x+Product of Roots =0\\Since roots are 3 and 9, the equation becomes:\\x^2-(3+9)x+(3X9) =0\\x^2-12x+27 =0[/tex]
The equation of the parabola is:
[tex]x^2-12x+27 =0[/tex]