The probabiIity of P(yeIIow)= 0.2, P'(yeIIow)=0.8.
What is probabiIity?By simpIy dividing the favourabIe number of possibiIities by the entire number of possibIe outcomes, the probabiIity of an occurrence can be determined using the probabiIity formuIa. Because the favorabIe number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Area covered by yeIIow = {72°/360°} x πr²
TotaI area = πr²
We can write the probabiIity as -
P{yeIIow} = {72/360} x πr²/πr²
P{yeIIow} = {72/360}
P{yeIIow} = 0.2
P'{yeIIow} = 1 - P{yeIIow}
P'{yeIIow} = 1 - 0.2
P'{yeIIow} = 0.8
P{yeIIow} + P'{yeIIow} = 0.2 + 0.8 = 1
P{yeIIow} + P'{yeIIow} = 1
Therefore, we can write the probabiIities as -
P{yeIIow} = 0.2
P'{yeIIow} = 0.8
P{yeIIow} + P'{yeIIow} = 1
Hence the P(yeIIow)= 0.2, P'(yeIIow)=0.8.
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7
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an
annual simple interest rate of 8%. After 8 years, the interest earned on the account was $5,760. How much money did Mike's
grandmother deposit in the account?
OA. $8,000
OB. $9,500
OC. $10,000
OD. $9,000
Answer:
we have to use the formula of simple interest, which is
I = P r t
Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .
In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .
Substituting the values in the formula, we will get
4840=0.11*11*P4840=0.11∗11∗P
4840=1.21 P4840=1.21P
P=4000
So she invested $4000
Answer:
Option: D P = 9000
Step-by-step explanation:
I = PRT
5760 = P * 0.08 * 8
5760 = 0.64P
9,000 = P
a playpen for a large dog has 12 panels. Each panel is 2 feet long. There are 3 different ways to arrange the panels so that each playpen has a different set of dimensions. Draw the shape of each possible playpen. Label the length and width of each playpen.
The drawing of the 3 different ways (obtained by writing the equation related to the information in the question) to arrange the panels that gives the 3 playpens different dimensions created with MS Word is attached.
What is a mathematical equation?An equation is a mathematical (representation) of a statement that connects two expressions with an equals sign.
The number panels on the playpen = 12
Length of each panel = 2 feet long
The number of ways to arrange the panel = 3 ways
The number of panels on each side of the playpen can be found using the equation;
2·a + 2·b = 12
Where;
a and b are natural numbers (integers larger than zero)
a and b are the number of panels on a width and the adjacent length of the playpen
Therefore;
(2·a + 2·b)/2 = 12/2 = 6
2·(a + b)/2 = 6
a + b = 6
b = 6 - a
Fist configuration
When a = 1, b = 6 - 1 = 5
a = 1, b = 5
One configuration is therefore; the width of the playpen contains one panel and the length of the playpen contains 5 panelsSecond configuration
When a = 2, b = 6 - 2 = 4
a = 2, b = 4
The second configuration is; There are two panels along the width of the playpen and four panels along the playpen's length.Third configuration
When a = 3, b = 6 - 3 = 3
The third configuration is therefore; The width of the playpen has 3 panels and the length of the playpen has three panels.Please find attached the shape of the three playpens based on the three possible arrangements created with MS Word
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Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
what is angle 1 in the picture called
Answer:
obtuse, right, acute
Step-by-step explanation:
OBTUSE is an angle greater than 90
RIGHT the angle is 90
ACUTE is an angle that is less than 90
Please help explanation if possible
Answer:
140-5x
Step-by-step explanation:
x would be the number of minutes
for eg, after 1 min, the temperature of the steak would be 140-5(1) = 135
not sure how to explain this, but its basically the start temperature - change
Class: Algebra 2
I need help with these Natural Logarithms problems!!!!!
I will give lots of points!!!!
The solutions are: x = ln(2) for 2eˣ = 4, x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.
Solving equations using natural logarithmTo solve these equations using natural logarithm, we can use the following rules:
If a = eᵇ, then b = ln(a).If ln(aᵇ) = b ln(a).Using these rules, we can solve the given equations as follows:
2eˣ = 4
Divide both sides by 2 to get
eˣ = 2.
Take the natural logarithm of both sides to get
ln(eˣ) = ln(2).
Using rule 1 above, we can simplify ln(eˣ) to x, and we get
x = ln(2).
e⁴ˣ = 25
4x = ln(25).
Divide both sides by 4 to get
x = ln(25)/4.
eˣ = 72
Take the natural logarithm of both sides to get
x = ln(72).
e³ˣ = 124
Take the natural logarithm of both sides to get
3x = ln(124).
Divide both sides by 3 to get
x = ln(124)/3.
For the second set of equations, we use the same rule as above
So, we have
ln(x - 3) = 2
x - 3 = e²
x = e² + 3.
x ≈ 10.389.
Therefore, the solution is x ≈ 10.389.
ln(2t) = 4
2t = e⁴
t = 0.5 * e⁴
t ≈ 27.299.
Therefore, the solution is t ≈ 27.299.
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Which pairs of non-overlapping angles share a ray to make a right angle?
Answer:
JGH and JGF
Step-by-step explanation:
Both adjacent and make a right angle
∠KGJ and ∠FGH are the pairs of non-overlapping angles that share a ray to make a right angle.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
In the given figure, we need to find the pairs of non-overlapping angles that share a ray to make a right angle.
We can see that ∠EGF and ∠HGF make a right angle but line FG is overlapping or common in both the angles.
∠KGJ and ∠FGH make a right angle and pairs of non-overlapping angles.
So, this is the correct pair for the condition.
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Write and solve an equation.
A drink and 7 pizzas cost $94.25. The cost of the drink was $1.50. What was the cost, c, of one pizza?
Answer:
13.25
Step-by-step explanation:
1. you have to subract the cost of the drink:
94.25-1.50=92.75
2.you have to divide to get the individual cost of pizzas by doing
92.75÷7=13.25
so therefore your answer is 13.25 per pizza
A rectangular prism has a square top and bottom and is 8cm tall. If the surface area is 72 square centimeters, determine its volume.
Answer:
576
Step-by-step explanation:
base times height
so 72*8
which is 576
which of the following is equal to 4 2/3 divided by 3 1/2 ?
answers:
4 2/3 x 3 2/1
14/3 x 2/7
14/3 x 7/2
42/3 x 2/31
Answer:
14/3 x 7/2
Step-by-step explanation:
hope it works
The nth term of an A.P has a value (3a -2). Give the first five terms of the series. What is the sum of the first fifteen terms.
The first five terms of the AP are 1, 4, 7, 10, and 13. And the sum of the first fifteen terms is 375
What is an Arithmetic Progression (AP)An arithmetic progression is a sequence where the differences between every two consecutive terms are the same.
The first five terms of the arithmetic progression AP are derived by replacing "a" for each term from 1 to 5;
3(1) - 2 = 1
3(2) - 2 = 4
3(3) - 2 = 7
3(4) - 2 = 10
3(5) - 2 = 13
we observe there is a common difference of three between each term.
The sum of first fifteen terms is calculated using the formula;
n/2[2(a) + (n - 1)d] {where n = the number of terms, a = the first term and d = the common difference}
Hence, by substitution, we have!
15/2[2(1) + (15 - 1)3]
15/2[2 + (16)3]
15/2[2 + 48]
(15/2)(50) {divide 50 by 2}
15 × 25
375.
Therefore, the first five terms of the arithmetic progression AP are 1, 4, 7, 10, and 13 and by application of the formula for calculating the sum of a given number of terms, the sum of the first fifteen terms is 375.
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If the zeros of a quadratic functions are -2 and 4, which graph could represent the function? A. A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10). B. A parabola declines from (negative 5 point 8, 10), (negative 5, 7), (negative 4, 0), (negative 8, negative 2), (negative 1, negative 8 point 4) and rises through (2, 0), (3, negative 6) and (3 point 9, 10). C. A downward open parabola rises from (negative 6 point 2, negative 10), (negative 5 point 2, negative 6), (negative 4, 0), (negative 3, 1) and declines through (negative 1 point 4, negative 2), (1, negative 4), (0, negative 8), and (0 point 5, 10). D. A downward open parabola rises from (negative 0 point 5, negative 10), (0, negative 8), (1, negative 4), (2, 0), (3, 1), and declines through (5, negative 4), (6, negative 8), and (6 point 5, negative 10) on the x y coordinate plane.
Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).
How to determine the graphThe zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.
Looking at the provided options:
A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.
B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.
C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.
D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.
So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.
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2.12 Graded Assignment: Basic Geometric Shapes - Part 2
Answer:
ohh easy, u commin home yet
Step-by-step explanation:
dad this u?
Step-by-step explanation:
For 1A
2y + 98° = 9y + 7° < being vertically opposite angles >
9y - 2y = 98° - 7°
7y = 91°
y = 13°
For 1B
9y + 7° = 9 * 13° + 7° = 124°
2y + 98° = 2 * 13° + 98° = 124°
The angles which are unknown are also vertically opposite angles so let unknown angles be x then
124° + 124 ° + x +x = 360° { being complete turn }
248° + 2x = 360°
2x = 112°
x = 56°
so all angles are 124° , 124° , 56°, 56°
For 2A
6y - 10 + 6y + 10 = 180° ( being linear pair)
12y = 180°
y= 15°
For 2B
6y - 10 = 6 * 15 - 10 = 80°
6y + 10 = 6 * 15 + 10 = 100°
Hope it will help :)
4(4 divided by 2 + 14)
Answer:
64
Step-by-step explanation:
Hey there!
4(4 ÷ 2 + 14)
= 4(2) + 4(14)
= 8 + 56
= 64
Therefore, your answer should be: 64
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the exponential form of the expanded form below?
3.3.3.3.3.3.3
3•7
3^7
7^3
3^6
Answer:
Step-by-step explanation:
okay so its 3•7
that's all u need put that
Answer:
\(3^{7}\)
Step-by-step explanation:
3×3×3×3×3×3×3= \(3^{1+1+1+1+1+1+1+1} =3^{7}\)
3+3+3+3+3+3+3= 3×7
subtract 7/10 - 1/5 simplify your answer
Answer:
1/2
Step-by-step explanation:
7/10 - 1/5
=> 7/10 - 1*2/5*2
=> 7/10 - 2/10
=> (7-2)/10
=> 5/10
=> 1/2
first, you have to make sure they have the same bottom number so you would make 1/5 2/10.
7/10-2/10
which is 5/10
you would simplify it and get 1/2 because 5 is half of 10
The perimeter of the rectangle below is 64
Find the value of x
The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Answer:
3,098
Step-by-step explanation:
when you do the ,ath you will get it
independent random samples of voters from two voting districts, g and h, were selected to investigate the proportion of all voters who favor a proposal to widen a road that runs through both districts. the difference between the sample proportions (g minus h) was used to create the 95 percent confidence interval (0.13,0.47) for the population difference between districts.
The most common level of confidence is 95%, however 90% or 99% have also been used on occasion.
A series of observations that are not reliant on any other samples or data constitute an independent random sample. Random samples selected without regard to sequencing. So, choice C is the proper one.
The essential points that are highlighted below are the followings:
Because the difference between the sample proportions G minus H greater population, according to the question. Due to the interval's all-positive values, it seems expected that district G will have more supporters than district H.
Assurance interval A confidence interval (CI) is a range of estimates for an unknown parameter that is determined by a lower bound and an upper bound. At a certain level of confidence, the interval is calculated.
The most typical level of confidence is 95%, however higher levels, such 90% or 99%, are occasionally employed.
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Examine the sequence of figures and find a rule/formula for the number of tiles in any figure number!
Answer:
See attachment.
Step-by-step explanation:
Observing the pattern shown in the attachment above, you'd notice that the length of each bar added to a figure is 1 box longer or taller than the previous bar.
In figure 1, the bar consist of just 1 box.
Figure 2 has 2 box. The length of the bar added to figure 1 is 1 box longer than the length of the bar of figure 1.
So, the basic rule is that, the length of the bar added to each figure is always 1 box longer than the last bar in the previous figure.
Thus,
Bar length of 3 boxes is added to figure 2 to get figure 3.
Bar length of 4 boxes is added to figure 3 to get figure 4.
For figure 5, bar length of 5 boxes would be added to give us figure 5 which is the next figure in the sequence.
The figure is shown in the attachment below.
Find the value of x that makes the equation true:
x + 3 = 4
a. x = 12
b. x = 2
c. x = 1
d. x = 7
If Lonnie has 40 plants and half of his plants die...how many plants does that
equal?
A 20
B 15
C 25
Answer:
20
Step-by-step explanation:
We know that she initially had 40 plants. The half of 40 is 20. That is also the number of plants that died.
Answer: A. 20
Step-by-step explanation:
Given Information:
Original = 40 Plants
New = Half Died
Find the number of plants that died:
40 × (1 / 2) = 40 / 2 = 20 Plants
or
40 ÷ 2 = 20 Plants
Therefore, it equals to \(\boxed{20 \:Plants}\)
Hope this help!! :)
Please let me know if you have any questions
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
Зу = 2х + 15
Write in slope intercept form
Answer:
Slope Intercept Form: 2/3x + 5
Finding the x and y Intercepts: (-15/2 , 0)
Answer:
\(y=\frac{2}{3} x+5\)
Step-by-step explanation:
3y=2x+15
÷ all #'s by three
\(y=\frac{2}{3}x +5\)
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
what is the range of the function f (x) = lxl +5?
The range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.
Given that the function is f(x)=IxI+5.
We are required to find the range of the function.
Function is relationship between two or more variables expressed in equal to form. In a function each value of x must have a corresponding value of y. The value of x is known as domain of the function and the value of y is known as codomain of the function. Range of a function is a limit of values in which the values of function lies.
Function is f(x)= IxI+5
We know that IxI=x for x>=0 and -x<0.
We have to just put the value of IxI in f(x) to get the range of function.
f(x)=x+5 for x>=0 and -x+5 for x<0.
Hence the range of the function f(x)= IxI+5 is x+5 for x>=0 and -x+5 for x<0.
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Parallelogram Properties - Diagonals
Jun 06, 4:06:26 PM
In parallelogram JKLM if LJ-46 find LN.
J
K
N
M
If LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK
To find the length of LN in parallelogram JKLM, we can utilize the properties of parallelograms, particularly the diagonals.
In a parallelogram, the diagonals bisect each other. This means that the diagonal LN divides the parallelogram into two congruent triangles, JLN and KLN.
Given that LJ is 46 units, we know that LK, the other half of the diagonal, is also 46 units.
Now, we have a triangle JLN, in which we know LJ (46 units) and LK (46 units). Since JL and LK are congruent sides of a triangle, we can conclude that JLKN is an isosceles trapezoid.
In an isosceles trapezoid, the diagonals are also congruent. Therefore, LN is equal in length to JK.
Hence, LN = JK.
Since we don't have any specific information about the length of JK provided in the question, we cannot determine the exact length of LN without additional information. However, we can say that LN is equal in length to JK based on the properties of parallelograms and isosceles trapezoids.
In summary, if LJ is given as 46 units in parallelogram JKLM, we can conclude that LN is equal in length to JK. However, without knowing the length of JK specifically, we cannot determine the exact length of LN.
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Determine the height in meters of a triangle with an area of 72 square meters and a base of 28 meters.
Step-by-step explanation:
The area A of a triangle is given by
\(A = \frac{1}{2}bh\)
where b is the length of the base and h is its height. Solving for h, we get
\(h = \dfrac{2A}{b} = \dfrac{2(72\:\text{m}^2)}{28\:\text{m}}\)
\(\:\:\:\:= 5.14\:\text{m}\)
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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