Solution
Blue marbles = 4
Red marbles = 2
There are a total of 6 marbles in the bag. If we draw one and don't replace it, there are 5 marbles left in the bag during our second choice...
\(\begin{gathered} pr(\text{blue)}=\frac{4}{6} \\ pr(\text{red)}=\frac{2}{6} \end{gathered}\)\(Pr(Both\text{red)}=\frac{2}{6}\times\frac{1}{5}=\frac{2}{30}=\frac{1}{15}\)we have 2/6 for our first draw and 1/5 for our second draw...multiplied together, we have a 1/15 chance of drawing a red marble and another red marble without replacing any after each draw.
Therefore the probability that both of the selected marbles are red is 1/15 == 0.067
Work out the perimeter of this semicircle.
Take it to be 3.142 and write down all of the digits given by your calculator.
18 cm give your answer in cm
Answer:
46.278cm
Step-by-step explanation:
(π+2)r
=πr+d
=9π+18=46.278cm
HELP PLEASE I’m having troubles!!!
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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If the perimeter of this triangle is 15 centimeters, what is the value of n? Express your answer as a decimal number.
How tall is the tree?
Answer:
The tree is 20 ft tall.
Step-by-step explanation:
The shadows have a ratio to the objects that cast them.
5 : 8.5 = x : 34
Cross multiplication :
5 · 34 = 8.5x
5 · 34 = 170
170 ÷ 8.5 = x
x = 20
I need help with this question
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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t
Use the table to the right, which shows the age distribution of those who earned less than
minimum wage in a recent year. If a worker is randomly selected from those surveyed, what
y is the probability that the person is younger than 65?
na
Ci
20
ar
The probability that the person is younger than 65 is
(Type a decimal rounded to three decimal places as needed.)
CID
Age
16-19
20-24
25-34
35-44
45-54
55-64
65 and older
Working Below Minimum
Wage (thousands)
350
412
318
200
107
51
49
The probability that a person chosen at random is younger than 65 is 0.967.
What is the probability?Probability calculates the odds that a random event would happen. The odds that the random event happens lie between 0 and 1.
The probability that a person chosen at random is younger than 65 = (total number of people younger than 65 / total number of respondents)
(350 + 412 + 318 + 200 + 107 + 51 ) / (350 + 412 + 318 + 200 + 107 + 51 + 49)
1438 / 1487 = 0.967
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can somebody find this out
Answer:
???
Step-by-step explanation:
?????what's the question
HELP! FOR 100 POINTS
In a sale, all prices are reduced by 22%. A pair of trainers normally cost £80. What is the sale price of the pair of trainers?
Answer: $62.40
Step-by-step explanation:
Original price $80
22% of 80%
.22(80) = 17.60 >This is the discount
Sale price = Original price - discount
Sale price = 80 - 17.60
Sale price = $62.40
Answer:
\(\Huge \boxed{\text{\$62.40}}\)
Step-by-step explanation:
In the sale, the prices decrease by 22%. This means that the sale price is 78% of the original price.
\(\Large \text{Sale price = (100 - 22)\% of old price}\\\text{Sale price = 78\% of \$80}\\\text{Sale price = 0.78 $\times$ 80}\\\text{Sale price = \$62.40}\)
The graph is the path Beth took on a walk.
A graph with horizontal axis time (seconds) and vertical axis position in (meters). The line runs in 2 straight segments from 0 seconds 2 meters to 6 seconds 8 meters to 10 seconds 0 meters.
What does the line from time 6 to 10 indicate?
Beth slowed down considerably.
Beth turned around and went the other direction.
Beth sped up considerably.
Beth went farther away from the origin.
The graph shows the path Beth took on a walk and the line from time 6 to 10 indicates that both turned around and went in the other direction.
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
As per the given graph in the question, we can say that position in the time period of 6 to 10 is changing, in fact, they started moving in another direction also the time is changing with it, which means that both turned around and went in the other direction.
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Answer: bbbbbbbbbbbbbbbbbbbbbB
Step-by-step explanation:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Question 9 and 10
Thanks so much
A 80-ounce bottle of apple juice contains 32 ounces of water. Which juice has the greater percent of water? What percent of the bottle of apple juice is water
Answer:
Only 1 juice is listed.....
So apple juice has the greatest percent of water
40%
Step-by-step explanation:
Answer:
40%
Step-by-step explanation:
Just did it on iready
Solve the inequality for t. 12 >t+3 Simplify your answer as much as possible
Answer:
t < 9
Step-by-step explanation:
12 > t + 3
We can subtract 3 from both sides getting us 9 > t.
I don’t know what to do, can someone people help me? Thank you
Seven students in a small class all made the same score on a test, as shown in the table. What was the mean absolute deviation for the class?
Responses
A 0
B 80
C 560
D undefined
Answer:
hey, the answer is A I'm 100% for sure:)
Step-by-step explanation:
:)
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
find the approximate area of the shaded region, given that the area of the sector is approximately 13.08 square units.
The area of the shaded region is 3915 units².
We have,
Area of the sector.
= 13.08 units²
Now,
To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case,
The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:
Calculate the semi-perimeter:
s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units
Use Heron's formula to find the area:
Area = √[7(7 - 5)(7 - 5)(7 - 4)]
= √[7(2)(2)(3)]
= √[84]
≈ 9.165 units (rounded to three decimal places)
Now,
Area of the shaded region.
= Area of the sector - Area of the isosceles triangle
= 13.08 - 9.165
= 3.915 units²
Thus,
The area of the shaded region is 3915 units².
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Line H has a gradient of 7.
Line K is perpendicular to line H
What is the gradient of line K
The gradient of the line K that is perpendicular to the line H that has a gradient of 7 is -1/7
What is the perpendicular lines?Perpendicular lines are lines that form a right angle (90 degrees angle) at the point of their intersection, in which the slope of one of lines is the negative reciprocal of the slope of the other line.
The gradient of the line H = 7
The relationship between the lines K and line H is; Line K is perpendicular to the line H
The slope of a line a, which is perpendicular to another line b with slope m is; -1/m
Therefore, the slope of the line K is -1/7
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i got it nevermind!!!! dont need help
The Vales of x in the equations are : 1) 3 (2) 1 (3) 5 (4) 14 (5) 10 respectively
How to solve an equation?A linear equation in one variable is that in which the highest power of its variable is 1
The given equations and their solutions are
2x +1 = 7
By collecting like terms we have
2x = 3
x = 3
2) The given equation is 4x +7 = 11
By collecting like terms we have
4x = 4
Making x the subject we have
x = 1
3) 2x -3 = 7
By collecting like terms we have
2x = 10
Making x the subject we have
x = 5
4) 1/2 x - 3 = 7
By collecting like terms we have
1/2x = 7
x= 14
5) The given equation is 3x - 11 = 19
By collecting like terms we have
3x= 30
Therefore x= 10
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Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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1. Mark is going to a carnival. He is anxiously looking forward to riding as many rides as possible. In order to enter the park each person is charged a $3 admission fee. The tickets for the rides are $0.75 each.
Match the following number of rides (x) and the total cost with admission (y) for Mark's trip to the carnival for 0 to 4 rides.
1 --> $3.00
2 --> $4.50
4 --> $3.75
3 --> $6.00
0 --> $5. 25
2. Write an equation that describes the relationship between the number of rides (x) and the total cost (y).
3. Use your equation from question #2, to determine the cost of 100 tickets.
4. If Mark's grandmother gave him $50, how many rides could be ridden? (no decimals)
Answer: hi
Step-by-step explanation:
this is it
Some values of functions f, g, h, and k are provided in the table on the right.
Find a possible equation of each function Verify your results with a graphing
calculator table. (HINT Use linear or exponential equations]
The equation of function f is f(x) =?
Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.
It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.
A cylinder has a height of 12 inches. A similar cylinder has a height of 15 inches. What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
The ratio is 15+\(r_2\) : \(12+r_1\).
What is surface area?
A three-dimensional object's surface area is the space it takes up when viewed from the outside.
Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit
=> A = \(2\pi r(h+r)\) square unit.
Now Height = 12 in , radius = r1 then,
=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1
Now Height = 15 in , radius = r2 then,
=>\(A_2=2\pi r_2(15+r_2)\)-------> 2
Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,
=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)
=>\(15+r_2:12+r_1\)
Hence the ratio is \(15+r_2:12+r_1\).
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Answer:
25:16
Step-by-step explanation:
I took the
To estimate 179% of 41 by rounding, use the expression
.
Using the distributive property, the expression is equivalent to
.
179% of 41 is about
The estimate of 179% of 41 by rounding is about 73.19.
To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.
Since we are rounding, we round this value to the nearest whole number, which is 73. Therefore, the direct answer is 179% of 41 is about 73.When estimating by rounding, we look at the decimal places. In this case, the hundredth place is 3. Since 3 is less than 5, we round down. Hence, the estimate is 73.19. It is important to note that rounding introduces some degree of error, as the actual value is 73.39. However, for most practical purposes, an estimate provides a close approximation that is quick and easy to calculate.For more similar questions on whole number
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look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
(y3)2 · y7 find the product
Answer:
2y^(10)
Step-by-step explanation:
Answer:
y^13
Step-by-step explanation:
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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(1000÷1)×10-5000 Giving Brainliest
65%. persent of 120 students ate pizza for lunch how many student's ate pizza
.65 * 120 = 6.5 * 12 = 65 * 1.2 = 65 + 13 = 78 students ate pizza
double check
78 / 120 = 0.65
please give brainliest
3). The ages of ten students randomly chosen from HND Secretryship and Management evening
session class are as follows: 19, 26, 27, 17, 38, 26, 25, 20, 33, 19.
i.
ii.
Compute the average age
The standard deviation of the ages.
The probability that a student who attends the first session also attends the second session is 1/3
Evaluating the probability
We can approach this problem by using conditional probability.
Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.
Then we can use the formula for conditional probability:
P(S2 | S1) = P(S1 and S2) / P(S1)
We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.
So we can plug in these values and solve for P(S2 | S1):
P(S2 | S1) = 0.2 / 0.6
P(S2 | S1) = 1/3
Therefore, the probability that a student who attends is 1/3 or approximately 0.333.
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complete question:
In a cooking class 20% of
the students attend two
sessions. 60% of students
attend the first session of
cooking class. What is the
probability that a student that
attends the first session also
attends the second session?
8. In Jack's class, 18 of the students are tall and 10 ere short in Michael
class, 54, students are tall and 30 are short which class has a
higher ratio of tall to short students.
Answer:
both class have the same ratio
Step-by-step explanation:
You can further prove this by multiplying 18 times 3 and getting 54, and 10 times 3 and getting 30.