The number of students signing up for neither Math nor Biology is 25.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Given, 120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology.
We know N(A∪B) = N(A) + N(B) - N(A∩B).
∴ N(M∪B) = 80 + 50 - 35.
N(M∪B) = 95.
So, the number of students signing up for neither Math nor Biology are
(120 - 95) = 25
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I need help with this multiple choice question I would really appreciate it if you help!
Step-by-step explanation:
B. not a rational number
what is 6(3+4) in distributive property
Answer:
There is no variable so it would just be 42
Step-by-step explanation:
3+4*6
Answer:
so the answer is 42
Step-by-step explanation:
(3+4) = 7 x 6= 42
distributive property is multiplication over addition
Dana measured the floor of her storage unit, which is rectangular. It is 3 meters wide and 5 meters from one corner to the opposite corner. How long is the storage unit?
After using Pythagorean theorem the rectangular floor is 4m long.
What is Pythagorean theorem ?
A right angled triangle's missing length can be discovered using Pythagoras' Theorem.
The triangle has three sides: the adjacent, which doesn't touch the hypotenuse, the opposite, which is always the longest, and the hypotenuse (which is between the opposite and the hypotenuse).
Here in the given rectangular floor,
Width = 3m and Altitude which is hypotenuse = 5 m.
Now using Pythagorean theorem,
=> \(length^2+width^2=hypotenuse^2\)
=> \(length^2+3^2=5^2\)
=> \(length^2=5^2-3^2\)
=> \(length^2=25-9=16=4^2\)
=> length = 4m
Hence the rectangular storage unit is 4m long.
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For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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please help guys asap
Answer:
28 i think
Step-by-step explanation:
Which ratio is equivalent to 3:7?
A 6:7
B 3:21
C 24:56
D 15:30
Answer:
c
Step-by-step explanation:
Answer:
C. 24:56
Step-by-step explanation:
3/7 * 8/8
3*8 = 24
7*8 = 56
24/56
The following linear equation is in standard form. Convert the linear equation to slope-intercept form.
8x +2y = 60
Solve for Y.
Slope-Intercept form: ________
Answer:
y=4x+30
Step-by-step explanation:
trust me and give me brainlieat bro
What is slope-intercept form?
The equation for slope-intercept form is y = mx + b, where
y = y coordinate
m = slope
x = x coordinate
b = the y intercept
You can convert the linear equation to slope-intercept form by isolating the y in the equation:
First, subtract both sides by 8x, leaving the equation as:
2y = -8x + 60
Now divide both sides by 2 to isolate the y:
y= \(\frac{-8x}{2} + \frac{60}{2}\)
Simplify your equation to be left with your answer:
Slope-Intercept form: y = -4x + 30
At a restaurant you only have $30 to spend on dinner. In addition to the co
you must pay a 8% sales tax and leave a 20% tip. What is the most expensiv
can order?
Answer:
At the restaurant you only have $30 to spend on dinner.
=> 8% sales tax is applied in your bill.
=> And need to leave a 20% tip.
Now, let’s find out how much will be the most expensive item you can order
Let us solve for the 8% tax first
=> 30 dollars * 8%
=> 30 dollars *.08 = 2.4 dollars
Then let’s solve the 20% tip
=> 30 dollars * .20 = 6 dollars
Solve
=> 2.4 + 6.00 = 8.4 dollars
=> 30 dollars – 8.4 dollars = 21.6 dollars
Thus, you can only spend around 22 dollars to be able not to exceed at your 30 dollars budget.
If the median is 3.5, we can assume the mean is ____________than 3.5
We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
What is mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.
According to question:We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.
For example, consider the following two data sets:
Set 1 data: 1, 2, 3, 4, and 5.
The median is 3.
The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.
Data set 2: 1, 2, 3, 4, 10
The median is 3.
The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.
In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.
Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
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Show how to solve \/2x+1-4=-1
Answer: X=5/8
Step-by-step explanation:
2*x-1/4-(1)>0
Step 1 Simplify: 1/4
(2x-1/4)-1>0
Step 2 Rewrite the whole number in an equivalent fraction:
(Subtract a fraction from a whole)
2x=2x/1=2x*4/4
Adding Fractions that have a common denominator:
2x*4-(1)/4=8x*1/4
The equation at the end of step 2:
(8x-1)/4-1>0
Step 3 Rewrite the whole as an equivalent fraction:
1=1/1=1*4/4
Adding Fractions that have a common denominator:
(8x-1)-(4)/4=8x-5/4
The equation at the End of Step 3:
8x-5/4>0
Step 4:
Multiply both sides by 4 then Divide both sides by 8.
So the answer is
x>5/8
I know it seems a lot but it's just the way I learned it. I hope you understand.
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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If the radius of a circle is one what is the sin and cosine
The unit circle is a circle with radius 1 centered at the origin of the Cartesian Plane. In a pair of coordinates (x,y) on the unit circle x2+y2=1, coordinate x is the cosine of the angle formed by the point, the origin, and the x-axis. Coordinate y is the sine of the angle.
help pls pls pls pls pls pls pls pls
A juice machine is set to dispense 16 ounces of juice. The amount of juice dispensed is normally distributed, with a mean of 16. 15 ounces and a standard deviation of 0. 25 ounces.
In which range will the amount of juice dispensed be found 68% of the time?
A. 15. 90 ounces to 16. 40 ounces
B. 15. 65 ounces to 16. 65 ounces
C. 15. 40 ounces to 16. 90 ounces
D. 15. 15 ounces to 17. 15 ounces
Answer:
15.40 ounces to 16.90 ounces.
Step-by-step explanation:
solve -8x greater than or equal to
2
Answer:
\(x \leq -\frac{1}{4}\)
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: \(x \leq -\frac{1}{4}\)I hope this helps!
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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please help image included
Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)
Part B
Select check boxes in each row to identify the fertilizing method that would best work for each example.
A farm that has delicate
crops and has many
employees
UDP
Precision
management
A gardener growing
vegetables for a family
A company that grows corn
and distributes to 10 states
The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
The fertilizing techniques that would be most effective for each example are as follows:
1. Farm with numerous workers and sensitive crops:
a. UDP (Unchecked )
b. Precision management (Checked)
2. A gardener raising produce for a family:
a. UDP (Checked).
b. Precision management (Unchecked )
3. Company that delivers corn to 10 states:
a. UDP (Unchecked)
b. Precision management (Checked)
Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
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Item Measured Scale Reading (tons) Number of Items on the Scale Weight per Item (tons)
Raul and his friends
1
20
4
cars
7
8
2
baby elephants
ما | ط
001
goats
4
cow NIP
desks
1
32
Answer:
Plato Answer
Step-by-step explanation:
Find the volume of the solid whose base is the semicircle y= squareroot( 16-x^2), where -4< x< 4 and whose cross section perpendicular axis are squares
The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³
To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.
To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.
Thus the volume is given as follows:
y = √(16 - x²)
V = ₋₄∫⁴ (√(16 - x²))² dx
V = ₋₄∫⁴ (16 - x²) dx
V = [16x - x³/3]₋₄⁴
V = (64 - 64/3 + 64 -64/3)
V = 256/3 unit³
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what is the value of 5 in the number 124.519 write your answer as a fraction
Answer:
5/10 or 1/2
Step-by-step explanation:
1=hundreds
2=tens
4=units
.
5=tenths
1=hundredths
9=units
The value of 5 in the given decimal number is \(\frac{5}{10}\)
Given :
A decimal number 124.519
In the given number 5 is in tenth place
Lets expand the number and check
\(124.519\\1 \cdot 100+2\cdot 10+4+5\cdot \frac{1}{10} +9\cdot \frac{1}{100}\)
now we look at the value of 5 in the given decimal number
\(5\cdot \frac{1}{10} \\\\ \frac{5}{10} \\ \frac{1}{2}\)
The value of 5 in the given decimal number is 5/10
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Use the "at least once" rule to find the probabilities of the following events.
Getting at least one tail when tossing seven
fair coins
The required probability will be 127/128 that getting at least one tail when tossing seven.
We know that the total number of sides on a coin [Tail, Heads] =2
The probability of getting a tail = 1/2
The probability of getting no tail = 1 -1/2 = 1/2
According to the "at least once" rule, when a coin is tossed n times, the chance of obtaining at least one tail is given by:-
P(at least one tail) = 1 - [P(no tail)]ⁿ
In this case, n=7
Then, the probability of getting at least one tail is given by:-
P(at least one tail) = 1 - (1/2)⁷
P(at least one tail) = 1 - (1/128)
P(at least one tail) = 127/128
Thus, the required probability will be 127/128 that getting at least one tail when tossing seven.
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Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the safe zone at 242424 meters per second. After 444 seconds of driving, she was 707070 meters away from the safe zone.
Let yyy represent the distance (in meters) from the safe zone after xxx seconds.
Complete the equation for the relationship between the distance and number of seconds.
The distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone. This can be obtained by converting the conditions to equations.
Find the equation for the relationship between the distance and number of seconds:A linear function containing one dependent and one independent variable.
It can be represented using the equation,
y = mx + c
where m is the slope
It is given in the question that,
Rachel is a stunt driver and one time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second.
After 4 seconds of driving, she was 70 meters away from the safe zone.
Let, D(t) be the distance to the safe zone (measured in meters) and t be the time (measured in seconds)
After 4 seconds of driving, she was 70 meters away from the safe zone.
⇒ This means that at t = 4 seconds, D(4) = 70 meters
Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative
⇒ m = - 24
y = mx + c
⇒ D(t) = (-24)t + c
Put t = 4,
D(4) = (-24)4 + c
70 = -96 + c ⇒ c = 166
⇒ D(t) = 166 - 24t
Hence the distance from the safe zone after t seconds is D(t) = 166 - 24t given that drove to get to the safe zone at 24 meters per second and after 4 seconds of driving, she was 70 meters away from the safe zone.
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can someone help me on 5 or 6. (find the area and perimeter)
Answer:
the answer is 6 trust. poopoo
Sophia pays a $25.00 membership fee for an online music store. If Sophia purchases n songs for
$3.00 each, and the total cost for her purchase is $60.00. Write and equation for the total cost
of songs s
Answer:
11 remainder 2 sorry if it's wrong...
Step-by-step explanation:
60.00- 25.00= 35.00 35.00 ÷ 3 = 11 r2
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!
Answer: \(t\in [\dfrac{1}{4},2]\)
Step-by-step explanation:
Given
Inequality is \(4t^2\leq9t-2\)
Taking variables one side
\(\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0\)
Using wavy curve method
\(t\in [\dfrac{1}{4},2]\)
3x+7+10x=7+13x+10 has {fill in blank} solutions.
-6x-6+8x=-5+2x-1 has {fill in blank} solutions.
choices for both are
infinitely many,one,two,three
Answer and Step-by-step explanation:
3x + 7 + 10x = 7 + 13x + 10
13x + 7 = 13x + 17
0 = 10
No solutions
-6x -6 + 8x = -5 + 2x -1
2x - 6 = -6 + 2x
0 = 0
Many solutions.
The first equation has no solutions.
The second equation has infinitely many solutions.
#teamstrees #WAP (Water And Plant)
Answers:
1. No solutions
2. Infinitely many solutions
Step-by-step explanation:
\(3x+7+10x=7+13x+10\)
Add common terms from both sides of the equation (10x and 3x) & (7 and 10)
\(13x+7=17+13x\)
Subtract common terms from both sides (13x and 13x)
\(7\neq 17\)
7 does not equal 17; thus, there are no solutions
\(-6x-6+8x=-5+2x-1\)
Add common terms from both sides of the equation (-6x and 8x) & (-5 and -1)
\(2x-6=-6+2x\)
Reorder the right side of the equation
\(2x-6=2x-6\)
Since this is a true statement, there are infinitely many solutions
12. If DH = HE, MBG = (9x – 20) and
MGC = (5x + 28), find mAB.
Answer:
176degrees
Step-by-step explanation:
Find the diagram attached. From the diagram;
arcGC = = arc BG
5x + 28 = 9x - 20
5x - 9x = -20 28
-4x = -48
x = -48/-4
x = 12
Get <AB
Since <AB = <BC
<BC = arcGC +arc BG
<AB = arcGC+ arc BG
<AB = 5x + 28 + 9x - 20
<AB = 14x + 8
<AB = 14(12) + 8
<AB = 168 + 8
<AB = 176degrees
Hence the arc AB is 176degrees