The likelihood that they will choose to work in an animal shelter for each of the six options they choose is around 0.2214 or 22.14%
The probability is given as,
P = (Favorable event) / (Total event)
The likelihood of choosing an opportunity at an animal shelter is 7/9. If each chance is equally likely to be chosen, the likelihood of choosing six in a row from an animal shelter may be estimated by multiplying the likelihood of choosing one opportunity by itself six times:
P = (7/9) x (7/9) x (7/9) x (7/9)
P = (7/9)⁶
P = 0.2214 or 22.14%
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An angle of 60 radians can be converted to an angle of____
degrees. (Give an exact answer as a fraction, not a decimal approximation.)
Answer:
The angle -90 degrees is equivalent to -π÷2 radians.
How we convert the angle −90∘ into radians?
To convert an angle from degrees to radians, we use the formula: radian measure = degree measure * π/180. In this case, we want to convert -90 degrees to radians. So, we substitute -90 into the formula and get:
radian measure = -90 × π÷180
Simplifying this expression, we can cancel the factor of 90 and get:
radian measure = -1÷2 × π
This means that -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact. The reason why we use radians to measure angles is because they are a more natural unit for measuring angles in calculus and other mathematical contexts.
Therefore, -90 degrees is equivalent to -π÷2 radians. We can leave our answer in terms of π since it is exact.
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Can you help me with this question?
Kyla finds a pair of roller blades that she would like to purchase. They are originally priced at $110 but are marked 30% off. What is the final price Kyla will pay for the roller blades if the tax rate is 5%?
To find the final price Kyla will pay for the roller blades, we first need to calculate the amount of the discount.
Discount = 30% of $110Discount = 0.30 x $110Discount = $33So Kyla will get a discount of $33 off the original price of $110.
Next, we need to calculate the pre-tax price of the roller blades after the discount.
Pre-tax price = Original price - DiscountPre-tax price = $110 - $33Pre-tax price = $77So the pre-tax price of the roller blades after the discount is $77.
Finally, we need to calculate the final price Kyla will pay, including the 5% tax.
Tax amount = 5% of $77Tax amount = 0.05 x $77Tax amount = $3.85Final price = Pre-tax price + Tax amountFinal price = $77 + $3.85Final price = $80.85Therefore, the final price Kyla will pay for the roller blades, including tax, is $80.85.Let v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and j.
P₁ = (-5,3), P₂ = (-2,6)
V=
(Type your answer in terms of i and j.)
The value of v in terms of i and j is v = 3i + 3j
We are given that;
P₁ = (-5,3), P₂ = (-2,6)
Now,
To find the component form of a vector, we need to subtract the coordinates of the initial point from the coordinates of the terminal point3.
We have P₁ = (-5,3) and P₂ = (-2,6).
v = P₂ - P₁ = (-2 - (-5), 6 - 3) = (3, 3). We can write v in terms of i and j as v = 3i + 3j.
Therefore, by vectors the answer will be v = 3i + 3j.
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What is the length of BD
Answer:
BD = 3 units
Step-by-step explanation:
since AB is a tangent to the circle, then the angle between the tangent and the radius at the point of contact A is 90°
Then Δ ABC is right
using Pythagoras' identity in the right triangle
BC² = AC² + AB² = 4.5² + 6² = 20.25 + 36 = 56.25 ( take square root of both sides )
BC = [tex]\sqrt{56.25}[/tex] = 7.5
now CD is a radius of the circle = 4.5
Then
BD = BC - CD = 7.5 - 4.5 = 3 units
Highschool geometry 8-12
The values of x and y in the given triangle are 41.4° and 114.5°
We have to values of x and y by using law of cosine
Using the Law of Cosines, we can find the values of x and y:
For angle x⁰:
cos(x⁰) = (a² + c² - b²) / (2ac)
cos(x⁰) = (15² + 18² - 12²) / (540)
cos(x⁰) = 0.75
x⁰ = cos⁻¹(0.75)
x⁰ = 41.4°
For angle y:
cos(A) = (b² + c² - a²) / (2bc)
cos(A) = (12² + 15² - 18²) / (360)
cos(A) = -0.4
A = cos⁻¹(-0.4)
y=114.5°
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How do I solve this? It says there is an error somewhere but doesn't say what it is. Can anyone tell me?
The sum of the series converges absolutely by alternate series test
Given data ,
Let the sequence be represented as A
Now , the value of A is
A = ∑n=1 to ∝ ( 1/6n³ )
On simplifying , we get
Taking the common factor out , we get
A = ( 1/6 ) ∑n=1 to ∝ ( 1/n³ )
Now , from the alternate series test ,
A = ( 1/6 ) ( converges )
Hence , the series A converges
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answer questions in picture please
Evaluate f(-8), f(0),
f(-8)
f(x)
=
f(0) =
f(4) =
and f(4) for the piecewise defined function.
√x + 4 if x < 0
2-x if x 20
Sketch the graph of the function.
The value of the function are f(-8) = -4, f(0)= 2 and f(0)= 2.
We have the function,
f(x) = { x + 4 , x<0
2 - x , x≥0
First, f(-8)
= (-8)+ 4
= -4
and, f(0)
= 2 - 0
= 2
and, f(4)
= 2 - 4
= -2
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Helpppppppppppppppppp
Answer:
use symbolab it will help you with almost anything
The number is less than 6,000.
The number is odd.
2/4 of the digits are even.
The digit in the thousand's place is the number
of days in a typical school week.
The digit in the ten's place is twice the value of the
digit in the hundred's place.
The digit in the one's place is the number of sides on a nonagon.
The digital root of the number is the number of sides on a stop sign.
The number is 4,175.
How do we explain?points to note:
The number is less than 6,000.The number is odd.2/4 of the digits are even means that even digits can only be 4 and 6.The digit in the thousand's place is the number of days in a typical school week and we have 7 days in a typical school week.The digit in the ten's place is twice the value of the digit in the hundred's place and we have the only even digit left as 6, to be the hundreds place. The ten's place digit is 2 * 6 = 12, hence the ten's digit is 2.The digit in the one's place is the number of sides on a nonagon which is equal to 9.The digital root of the number is the number of sides on a stop sign means that the sum of the digits in the number is 4 + 1 + 7 + 5 = 17, which reduces to a digital root of 1 + 7 = 8. A stop sign has 8 sides, so the digital root matches.Learn more about digital root at: https://brainly.com/question/24487815
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7. Which inequality matches the graph below.
New homeowners hire a painter to paint rooms in their house. The painter pays $100 for supplies and charges the homeowners $25 for each room they want painted.
Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 100 through the point 4 comma 0
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma negative 100 through the point 4 comma 0
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 100 through the point 4 comma 200
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma negative 100 through the point 4 comma negative 200
The correct graph is: a coordinate grid with the x-axis labeled rooms painted and the y-axis labeled amount of money earned and a line going from the point (0,100) through the point (4,200).
What is a Graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The points on the graph often represent the relationship between two or more things.
The painter pays $100 for supplies, which is a fixed cost, and charges $25 for each room painted, which is a variable cost.
Therefore, the relationship between the amount of money the painter earns and the number of rooms he paints can be represented by a linear equation in slope-intercept form:
Amount earned = (price per room) x (number of rooms painted) + (fixed cost)
In this case, the price per room is $25, the number of rooms painted is the x-value, and the fixed cost is $100. Thus, the equation is:
Amount earned = 25x + 100
To graph this equation, we can plot two points and draw a line through them. One point is when no rooms are painted, which gives the painter $100 for the fixed cost:
(0,100)
The other point is when four rooms are painted, which gives the painter:
Amount earned = 25(4) + 100 = 200
So the other point is:
(4, 200)
The correct option :
a coordinate grid with the x axis labeled rooms painted and the y axis labeled amount of money earned and a line going from the point 0 comma 100 through the point 4 comma 200.
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The diamond suit from a standard deck of cards are taken out. You draw 2 cards from only the diamonds. What are the chances that you draw a king on your first draw and an ace on your second?
Answer:
There are 13 diamonds in a deck of cards, including one king and one ace.
The probability of drawing a king on the first draw is 1/13, since there is one king among 13 diamonds.
Assuming that the king is not replaced, there are now 12 diamonds left, including one ace. The probability of drawing an ace on the second draw is 1/12, since there is one ace among 12 diamonds.
The probability of drawing a king on the first draw and an ace on the second draw is the product of these probabilities:
P(king first, ace second) = P(king first) * P(ace second|king first not replaced)
P(king first, ace second) = (1/13) * (1/12)
P(king first, ace second) = 1/156
Therefore, the chances of drawing a king on your first draw and an ace on your second draw, when drawing 2 cards from only the diamonds, is 1/156.
Step-by-step explanation:
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You select a marble without looking and then put it back. If you do this 12 times, what is the best prediction possible for the number of times you will pick an orange marble?
If we assume that the marbles are equally likely to be picked, then the probability of picking an orange marble is 1/3.
The number of times an orange marble is picked in 12 trials follows a binomial distribution with parameters n = 12 and p = 1/3.
The expected value of the number of orange marbles picked is given by:
E(X) = np = 12 * (1/3) = 4
Therefore, the best prediction possible for the number of times an orange marble will be picked is 4.
Answer:
The probability of selecting either a purple or a blue marble for the 6 marbles is 0.3333 or 33.33%
Step-by-step explanation:
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4 identical glasses and 4 identical jugs hold a total of 11.12 ℓ of water.
Each glass holds 0.33 ℓ of water.
How much water does each jug hold ?
Answer:
2.45ℓ
Step-by-step explanation:
0.33ℓ x 4 = 1.32ℓ (1ℓ 320 ml)
11.12ℓ - 1.32ℓ = 9.8ℓ (total in 4 jugs)
9.8ℓ ÷ 4 = 2.45ℓ (each jug)
hope this helped :)
Is 18 three more than nine true or false
Answer: False
Step-by-step explanation:
Counting up from 9, you get 10, 11, and 12. To get to 18 from 9 you would need to add 9.
Find the volume for each figure. Use 3.14 for Pi
2.
V=
r = 6 in
Round your answer 2 decimal places if possible.
1
2 3
4
10
5
6
7 8
9
Answer:
V = (4/3)π(6^3) = 288π square inches
= 904.78 square inches
Using 3.14 for π, V = 904.32 square inches.
What are the solutions of 3x^2- x +7=0?
O A. x =
о
B. x =
O C. x =
2-9i
2+9i or x = 2-⁹⁰
6
6
1+iv83 or x =
6
-i√/83
6
1+9i
1-9i
¹+9 or x = 1-⁹
O D. x = 2+√83 or x = 2-i√/83
6
6
Answer:
x = (1 +i√83)/6 or x = (1 -i√83)/6
Step-by-step explanation:
You want the solutions to the quadratic equation 3x² -x +7 = 0.
Quadratic formulaThe solutions to the equation ax² +bx +c = 0 are given by the formula ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The given equation has a=3, b=-1, c=7, so the solutions are ...
[tex]x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(3)(7)}}{2(3)}=\dfrac{1\pm\sqrt{-83}}{6}\\\\\\\boxed{x=\dfrac{1+i\sqrt{83}}{6}\quad\text{or}\quad x=\dfrac{1-i\sqrt{83}}{6}}[/tex]
<95141404393>
Find the measure of minor arc BC (labeled as x)
Answer:80°
Step-by-step explanation:
We can use the given angle, 50, to determine the other angles of the triangle opposite to the arc that we need to find the measure of.
Because the entire inscribed figure is rectangular, we can use our given angle to determine the other angles of the triangle represented by the given angle, which are 50 and 80.
Now we can use the 80° angle <DPA, which is also equal to <CPB.
This means that the center angle <CPB is also 80°, and it means that the corresponding arc X is also 80°.
what is the value of x? right triangles and trigonometry.
Answer:
The value of x is 10√2, so A is correct.
Step-by-step explanation:
In an isosceles right triangle, the length of the hypotenuse is √2 times the length of a leg. Since each leg has length 10, the hypotenuse has length 10√2. A is correct.
Please help !!!!!!!!!!!!!
The error that Martell made in determining the scale factor was using point K and point A when they weren't similar points.
How to find the scale factor ?The process that Martell used to find the scale factor was correct, however, he should not have used points A and K because they are not similar sides in the triangles.
Point A is similar to point H while point D is similar to point K.
Using the similar points of A (4, 2 ) and H ( 6, 3 ), we find the scale factor to be:
= 6 / 4
= 1. 5
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According to a National Center for Health Statistics, the lifetime odds in favor of dying from heart disease are 1 to 5, so the probability of dying from heart disease is
Answer:
The probability of dying from heart disease based on the given information is 1/6 or approximately 0.1667. This is because the odds in favor of dying from heart disease are 1 to 5, which means there is 1 chance of dying from heart disease for every 5 chances of not dying from heart disease. To convert odds to probability, we divide the number of chances of the event occurring by the total number of chances. So, the probability of dying from heart disease is 1/(1+5) = 1/6 or approximately 0.1667.
If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage e for a child of age a, pharmacists use the equation c = 0.0417D(a + 1).
Suppose the dosage for an adult is 150 mg.
(a) Find the slope of the graph of e. (Round your answer to two decimal places.)
P
What does it represent?
The slope represents the Select of the dosage for a child for each change of 1 year in age.
(b) What is the dosage for a newborn? (Round your answer to two decimal places.)
ma
a) The slope shows that the appropriate dose c for an older child increases by 6.225 mg if the child is one year older.
b) The dose for newborn baby is: 6.225 mg
How to interpret the slope?The equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
(a) Let a be an age of an child in years. Then:
c = 0.0417Da + 0.0417D
Where D is a constant
Since D = 150 mg, then we have:
The slope of the graph = 0.0417(150)
= 6.225 mg/year
The slope shows that the appropriate dose c for an older child increases by 6.225 mg if the child is one year older.
(b) Newborn baby: a=0
Thus:
c(0) = 0 + 6.225
= 6.225 mg
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solve for x by using the quadratic formula 20x^2-33x+10=0
what is the average rate of change for the following intervals?
[-5,-4]
[-4,-3]
[-4,-1]
[-3,-1]
The average rate of change for the given intervals are:
(-5, -5) and (-4, 0): 0(-4, 0) and (-3, 3): 3(-4, 0) and (-1, 3): 1(-3, 0) and (-1, 0): 0How to find the average rate of changeTo compute the average rate of change for any given interval, determine the change between the function values at the endpoints and divide this value by the difference in independent variable values. it can be expressed as follows:
Average Rate of Change = (f(b) - f(a)) / (b - a)
The average rate of change for each point in the interval is determined form the graphs and used to solve for the average rate of change
(-5, -5) and (-4, 0):
Average Rate of Change = (0 - 0) / (-4 - (-5)) = 0 / 1 = 0
(-4, 0) and (-3, 3):
Average Rate of Change = (3 - 0) / (-3 - (-4)) = 3 / 1 = 3
(-4, 0) and (-1, 3):
Average Rate of Change = (3 - 0) / (-1 - (-4)) = 3 / 3 = 1
(-3, 0) and (-1, 0):
Average Rate of Change = (0 - 0) / (-1 - (-3)) = 0 / 2 = 0
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this question!
thank you!
Answer:
7
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 28 when x = 21.
What is the value of y when x = 36?
O y = 14
O y = 48
O y = 36
O x = 64
ANSWER FOR BRAINLIST AND HEARTS DUE TODAY
Solve m^2 − 6m = 3. Use the Quadratic Formula. Leave your answers as simplified radicals.
Show ALL your work.
Answer:
m = 3 + 2√3 or m = 3 - 2√3
Step-by-step explanation:
The given equation is:
m^2 - 6m = 3
We can rewrite the equation in standard quadratic form as:
m^2 - 6m - 3 = 0
We can use the quadratic formula to solve for m:
m = [-b ± √(b^2 - 4ac)] / 2a
where a = 1, b = -6, and c = -3.
Substituting these values, we get:
m = [-(-6) ± √((-6)^2 - 4(1)(-3))] / 2(1)
m = [6 ± √(36 + 12)] / 2
m = [6 ± √48] / 2
m = [6 ± 4√3] / 2
Simplifying the expression, we get:
m = 3 ± 2√3
Therefore, the solutions to the equation are:
m = 3 + 2√3 or m = 3 - 2√3
If this helps, please mark my answer as brainliest so i can help you more!:)
Answer:
[tex]x=3+2\sqrt{3}\\\\ x=3-2\sqrt{3}[/tex]
Step-by-step explanation:
The quadratic formula is:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore, to solve the given equation using the quadratic formula, first subtract 3 from both sides of the equation so that it is in the required form.
[tex]m^2-6m-3=3-3[/tex]
[tex]m^2-6m-3=0[/tex]
Comparing the coefficients:
a = 1b = -6c = -3Substitute the values of a, b and c into the formula and solve for x:
[tex]\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(1)(-3)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{6 \pm \sqrt{36-4(-3)}}{2}[/tex]
[tex]\implies x=\dfrac{6 \pm \sqrt{36+12}}{2}[/tex]
[tex]\implies x=\dfrac{6 \pm \sqrt{48}}{2}[/tex]
Rewrite 48 as a 4² · 3:
[tex]\implies x=\dfrac{6 \pm \sqrt{4^2 \cdot 3}}{2}[/tex]
[tex]\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]
[tex]\implies x=\dfrac{6 \pm \sqrt{4^2} \sqrt{3}}{2}[/tex]
[tex]\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]
[tex]\implies x=\dfrac{6 \pm 4 \sqrt{3}}{2}[/tex]
Simplify:
[tex]\implies x=\dfrac{6}{2}\pm\dfrac{4 \sqrt{3}}{2}[/tex]
[tex]\implies x=3\pm2 \sqrt{3}[/tex]
Therefore, the values of x are:
[tex]x=3+2\sqrt{3}\\\\ x=3-2\sqrt{3}[/tex]
A box has 7 blue and 7 green jelly beans. A bag has 6 blue and 4 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)
The probability that the transferred jelly bean was green is P ( G ) = 0.636
Given data ,
Let the probability that the transferred jelly bean was green be P ( G )
Now , There are 7 blue and 7 green jelly beans in the box, so the probability of selecting a green jelly bean from the box is 7/(7+7) = 0.5, and the probability of selecting a blue jelly bean from the box is also 0.5
A jelly bean is chosen from the box and then put in the bag. Say someone chooses a green jelly bean from the package and puts it in the bag. Currently, there are 6 + 1 = 7 green jelly beans and 4 + 0 = 4 blue jelly beans in the bag.
Now , Since there are 7 green jelly beans and 4 blue jelly beans in the bag, the probability of selecting a green jelly bean from the bag is P ( G )
where P ( G ) = 7/(7+4)
P ( G ) = 0.636
Hence , the probability is 0.636
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A virus takes 5 days to grow from 90 to 200. How many days will it take to grow from 90 to 410? Round to the nearest whole number.
The number of days it will take the virus to grow from 90 to 410 is 15 days.
What is the growth rate of the virus?The growth rate of the virus is calculated as follows;
growth rate = (200 - 90) / 5
growth rate = 22 per day
The number of days it will take the virus to grow from 90 to 410 is calculated as follows;
growth = 410 - 90
growth = 320
Number of days = 320 / 22/day = 14.55 ≈ 15 days
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Determine two pairs of polar coordinates for the point with 0 < theta <360
The polar coordinates for the point (5, 5) are (5√(2), 45 degrees) or (5√(2), 225 degrees) since 225 degrees is also a valid angle between 0 and 360 degrees that corresponds to the same point.(option c)
For the point (5, 5), we can find its polar coordinates by first finding the distance r from the origin using the Pythagorean theorem:
r = √(5² + 5²) = √(50) = 5√(2)
Next, we can find the angle θ that the line connecting the origin to the point makes with the positive x-axis using trigonometry:
tan(θ) = y/x = 5/5 = 1
θ = arctan(1) = π/4 radians
Since 0 < θ < 360, we can express θ in degrees as θ = 45 degrees.
Hence the correct option is (c).
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