According to the given percentages, 18% of the students at the orientation are male arts majors.
The statement correctly calculates that 60% of the students at the orientation are men and 30% are arts majors.
To determine the percentage of students who are male arts majors, we multiply these two percentages together: 60% x 30% = 18%. Therefore, 18% of the students at the orientation are male arts majors.
This calculation follows the principles of probability, where the intersection of two events (being a male and being an arts major) is determined by multiplying the probabilities of each event occurring individually.
In this case, it results in 18% of the students meeting both criteria.
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Question - Sixty percent of the students at an orientation are men and 30% of the students at the orientation are arts majors. Therefore, 60% X 30% = 18% of the students at the orientation are male arts majors.
139°
(17x + 3)
answer
Answer:
x= 8
Step-by-step explanation:
17x + 3 = 139
17x = 136
x = 8
Which of the following points lies on the line 2x+3y=5?
What is the answer to 3x+2(x-1)
Dean wants to buy a scooter. He has a coupon for 20% off his purchase, and has already saved $50. If the scooter is $79, how much more money does Dean need to be able to purchase it?
Give an example to show that when two prime numbers are added, the result
may be an odd number.
Answer:
2+3=5
Step-by-step explanation:
prime numbers =2 and 3
sum =5 which is odd
HELP MATH ASAP! I GIVE BRAINLIEST
Find the volume of each figure. Round the answer
5 min
4 mm
18 nm
8 mm
The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
is −22.
Which function can be used to find the nth term of the arithmetic sequence?
Answer:
aₙ = -3n + 8Step-by-step explanation:
The nth term of an arithmetic sequence: aₙ = a₁ + d(n - 1)
{d = common difference}
a₁ = 5
a₄ = 5 + d(4 - 1)
-4 = 5 + 3d
-4 - 5 = 3d
3d = -9
d = -3
Therefore;
aₙ = 5 + (-3)(n - 1)
aₙ = -3n + 8
Check: a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22
The nth term of the sequence is Tn = 8 - 3n
How to determine the function of the nth term?The given parameters are:
a = 5, first term
T4 = -4 --- the 4th term
T10 = -22 --- the 10th term
The nth term of an arithmetic sequence is:
Tn = a + (n - 1) * d
So, we have:
T4 = a + (4 - 1) * d
Substitute known values
-4 = 5 +(4 -1) * d
This gives
-4 = 5 + 3d
Subtract 5 from both sides
3d = -9
Divide by 3
d = -3
Recall that:
Tn = a + (n - 1) * d
So, we have:
Tn = 5 + (n - 1) * -3
Expand
Tn = 5 + 3 - 3n
Solve
Tn = 8 - 3n
Hence, the nth term of the sequence is Tn = 8 - 3n
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4) A spinner has 8 congruent sections as shown in the diagram. If the
spinner is spun twice, what is the probability that the first spin will land on
a whistle and the second spin will land on a yo-yo?"
a. 1/2
b. 1/8
c. 2/8
d. 1/32
guys can you help me answer this?
Express the function G in the form f o g. (There is more than one correct answer. The function is of the form y = f(g(x)). Use non-identity functions for f(x) and g(x).)
G(x) = 1/x+8
(f(x), g(x) = ([_________])
To express the function [tex]\(G\)[/tex] in the form [tex]\(f \circ g\)[/tex] , where [tex]\(y = f(g(x))\)[/tex] , we need to find suitable non-identity functions [tex]\(f(x)\)[/tex] and [tex]\(g(x)\)[/tex] that can be composed to yield [tex]\(G(x)\)[/tex].
Let's choose [tex]\(g(x) = \frac{1}{x}\)[/tex] and [tex]\(f(x) = x + 8\)[/tex].
Now, we can express [tex]\(G\)[/tex] as [tex]\(G(x) = f(g(x))\)[/tex] , which becomes:
[tex]\[G(x) = f(g(x)) = f\left(\frac{1}{x}\right) = \frac{1}{x} + 8\][/tex]
Therefore, the functions [tex]\(f(x)\)[/tex] and [tex]\(g(x)\)[/tex] that can be composed to yield [tex]\(G(x) = \frac{1}{x} + 8\) are \(f(x) = x + 8\)[/tex] and [tex]\(g(x) = \frac{1}{x}\)[/tex].
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An object completes one round of circle of radius 7m in 20 sec. find the distance travelled after 10sec.
Answer: 7pi
Step-by-step explanation: If it completes the circumference distance (14pi) of the circle in 20 seconds, in 10 seconds it will complete half of that. or 7pi. Hope this helped!
:.the distance travelled after 10sec. =7πm
Answer:
in 20 sec distance travelled =2πr=2π×7=14πm
in 10 sec distance travelled=14πm×10/20=7πm
The hair color of the players on a tennis team would be considered: a. Ratio data b. Ordinal data c. Nominal data d. Interval data
The hair color of the players on a tennis team would be considered nominal data. Therefore, the most appropriate answer is option (c): Nominal data.
In data classification, there are four main levels of measurement: nominal, ordinal, interval, and ratio. Nominal data is the lowest level of measurement and represents categories or labels that cannot be ranked or ordered. Hair color falls into this category as it represents different categories or labels such as blonde, brunette, red, etc. Nominal data does not have any inherent numerical value or order.
On the other hand, ordinal data represents categories that can be ordered or ranked but do not have a consistent interval between them. Interval and ratio data involve numerical values with a consistent interval and a true zero point, with ratio data having a meaningful zero point.
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Your friend Sam wants to paint her room. She wants to paint the ceiling
white and the four walls purple.
You are helping Sam determine the cost and the amount of time needed to
paint her room.
The room is shaped like a rectangular prism with a height of 8 feet, length of
12 feet, and width of 10 feet as shown.
one hundred and twenty approximately
GIVING BRAINLIEST!!!!!!
Answer:
y+x = -4
Step-by-step explanation:
-4 indicates where the line intercept the y axis
if we put y=0 we can find where line intercepts the x axis.
it results x = -4
the two values are negative
Can I get help with number 20
Answer:
-5/4
Step-by-step explanation:
PLS HELP PLS IM BEGGING
Answer:
b: 118
c: 62
Step-by-step explanation:
Angle B is a vertical angle from the given angle, so they are congruent.
Angle C is supplementary (2 angles that add up to 180 degrees) from the given angle, so we can subtract 118 from 180 to give us 62, which is angle c.
Hope this helps! :)
Answer: b=118 c=62
Step-by-step explanation: All angles add up to 360 degrees. We know one angle equals 118. We can also tell that angle b is identical to angle 118 because they are complementary angles. Now we add 118+118 which equals 236. Subtract 360 from 236. That gives us 124. Divide 124 by two since their are two angles. That gives us 62. c=62 and b=118
Factor this expression completely and then placed the factors in the proper location on the grid. Note: please factors alphabetically in the grid!
ab + 4 + a + 4b
PLEASE ANSWER, WILL MARK BRAINLYEST!
Answer:
(a + 4)(b + 1)
Step-by-step explanation:
ab + 4 + a + 4b
Rearrange the expression to find the GCF.
ab + a + 4b + 4
Now find the GCF.
a (b + 1) + 4 (b + 1)
Divide the whole thing by b+1
(a + 4)(b + 1)
using a different method, for every question, solve the following functions 1. f(x) = x+ex 3 2. f(x) = X - C03 X € = 0.0001 2 3. f(x) = x - x + sinx-1 2 Find √29 by Newton-Raphson method
The following functions 1. f(x) = x+ex 3 2. f(x) = X - C03 X € = 0.0001 2 3. f(x) = x - x + sinx-1 2 By using Newton-Raphson method √29 is 4.5826.
Solve f(x) = x + e^x = 0:
Unfortunately, this equation cannot be solved analytically. We can use numerical methods such as the Newton-Raphson method to find an approximate solution. However, in this case, we will move on to the next function.
Solve f(x) = x^3 - 0.0001 = 0:
To solve this equation, we can rearrange it as follows:
x^3 = 0.0001
Taking the cube root of both sides, we get:
x = ∛0.0001
Using a calculator, we find that ∛0.0001 ≈ 0.04641588834.
Therefore, the solution to the equation f(x) = x^3 - 0.0001 = 0 is approximately x ≈ 0.0464.
Solve f(x) = x - x^2 + sin(x) - 1 = 0:
This equation also cannot be solved analytically. We can use numerical methods such as the Newton-Raphson method or graphing methods to find an approximate solution. Let's use the Newton-Raphson method.
Applying the Newton-Raphson method, we start with an initial guess, let's say x0 = 1:
Iteratively, we update x using the formula:
x_n+1 = x_n - f(x_n) / f'(x_n)
The derivative of f(x) is:
f'(x) = 1 - 2x + cos(x)
Using the initial guess:
x1 = x0 - f(x0) / f'(x0)
= 1 - (1 - 1^2 + sin(1) - 1) / (1 - 2(1) + cos(1))
≈ 1.2227
We repeat the process with x1 as the new guess:
x2 = x1 - f(x1) / f'(x1)
≈ 1.2196
Continuing this iterative process, we find:
x3 ≈ 1.2196
x4 ≈ 1.2196
The solution to the equation f(x) = x - x^2 + sin(x) - 1 = 0 is approximately x ≈ 1.2196.
Now, let's move on to finding √29 using the Newton-Raphson method.
To find √29 using the Newton-Raphson method, we need to solve the equation f(x) = x^2 - 29 = 0.
Using the Newton-Raphson method, we start with an initial guess, let's say x0 = 5:
Iteratively, we update x using the formula:
x_n+1 = x_n - f(x_n) / f'(x_n)
The derivative of f(x) is:
f'(x) = 2x
Using the initial guess:
x1 = x0 - f(x0) / f'(x0)
= 5 - (5^2 - 29) / (2 * 5)
= 5 - (25 - 29) / 10
= 5 - 4 / 10
= 5 - 0.4
= 4.6
We repeat the process with x1 as the new guess:
x2 = x1 - f(x1) / f'(x1)
= 4.6 - (4.6^2 - 29) / (2 * 4.6)
≈ 4.5826
Continuing this iterative process, we find:
x3 ≈ 4.5826
x4 ≈ 4.5826
The solution to the equation f(x) = x^2 - 29 = 0, which gives √29, is approximately x ≈ 4.5826.
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In the expression 8k + 5. which best describes what 8 represents?
Answer:
it represents a variable
Step-by-step explanation:
The number 8 is the coefficient of the variable k.
What is a coefficient?A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.
Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.
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How does the graph of the
function g(x) = 2* + 6 differ from
the graph of f(x) = 2*?
Answer:
YUH
Step-by-step explanation:
Answer:
you'll see...
Step-by-step explanation:
Given that the transformed graph is of function f(x) = (x + 2)^4 + 6 and the parent function g(x) = x^4
The transformed graph function g(x) was shifted two (2) units to the left and was translated six (6) units upward.
When the function is shifted to the right, the factor of x will be negative and when it's shifted to the left, the factor of x will be positive.
Therefore, function g(x) = x^4 is shifted 2 units to the left and translated 6 units upward to form f(x) = ( x + 2 )^4 + 6.
6. The table shows the number of manatee deaths caused by watercraft in Florida each year
beginning in 1980. The years are coded that 1980 is 1, 1981 is 2, and so on. Use the table to
find the best model and the R2 value.
Year
1
2
3
4
5
6
7
8
9
10
Deaths
16
24
20
15
34
33
33
39
43
50
(1 point)
linear model, 0.845
exponential model, 0.779
power model, 0.682
quadratic model, 0.866
Answer: quadratic model, 0.866
Step-by-step explanation:
The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. find the count of the bacteria at the end of 22 hours.
DONT ADD ANY LINK PLEASE I WILL REPORT AND PLEASE ANSWER CORRECTLY AND FAST I WILL MARK BRAINLIEST
Este año en la escuela de inglés, el numero de usuarios de intagram ha alcanzado la cifra de 2604 alumnos, lo que supone un aumento del 24% respecto del año pasado. ¿ cuantos usuarios habia el año pasado?
Answer:
the number of users in the last year is 2,100
Step-by-step explanation:
The computation of the number of users in the last year is shown below:
Given that
The users are 2604 that are increased to 24% as compared with the last year
So, the users in the last year is
= 2604 ×100 ÷ 124
= 2,100
Hence, the number of users in the last year is 2,100
Answer:
688
Step-by-step explanation:
ithink
What is the greatest common factor of the numbers
15,30 , and 75 ?
Answer:
15
Step-by-step explanation:
Prime Numbers Check
15: 5 * 3
30: 2 * 3 * 5
75: 3 * 5 * 5
Both 3 and 5 are prime numbers present in all 3 greater numbers, then you multiply them
3*5 = 15
GCF is 15
Solve the inequality for d
df+9h>2
Answer:
d=2_f - 9h_f
Step-by-step explanation:
es la segunda opción
I need help plzzz
-6p + 19 > 7
Answer:
p < 2
Step-by-step explanation:
hope this is right and have a good day
I NEED. HELP ASAP please!!!
Answer: It is a polynomial, and the degree is 4.
Step-by-step explanation: The degree is basically the biggest number exponent
Step-by-step explanation:
x xndndjjdjdjdowiekeie
at time t = 0 the capacitor in the circuit below is fully charged with qmax, and the current through the circuit is 0.
At time t = 0, the capacitor in the circuit is charged to its maximum charge, qmax, and the circuit has zero current.
At t = 0, the capacitor in the circuit is fully charged, which means it has accumulated its maximum charge, qmax. The capacitor acts as a temporary energy storage device in the circuit. When the capacitor is fully charged, it contains potential energy. The charge on the capacitor creates an electric field, which opposes the flow of current through the circuit.
Since the capacitor is fully charged at t = 0, it resists any change in the current. Therefore, the circuit has zero current flowing through it. As time progresses, the capacitor will start to discharge, releasing the stored energy and allowing the current to flow. The discharge process is governed by the relationship between the voltage across the capacitor, the capacitance of the capacitor, and the resistance in the circuit.
Finally, at t = 0, the capacitor in the circuit is charged to its maximum capacity, qmax, and the circuit has zero current flowing through it.
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What is the result of subtracting the second equation from the first?
-4x-2y=-2
x-2y=9
Answer:
x=2.2
y=-3.4
Step-by-step explanation:
subtract the second from the first
-5x=-11
x=2=2
substituting by x in the first equation
so y=-3.4