Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
a population of 29 year-old males has a mean salary of $29,321 with a standard deviation of $2,120. if a sample of 100 men is taken, what is the probability the sample mean salary will be less than $29.000?
The probability that the sample mean salary will be less than $29,000 is -1.51.
What is Central limit theorem?The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
What is central limit theorem formula?Central Limit Theorem for Sample Means z-score and standard error of the mean: z=ˉx−μx(σx√n)
z=ˉx−μx/(σx/√n)
where
xbar = $29,000
μx = $29,321
σx = $2,120
n = 100
inputing value into the z-formula
(29,000 – 29,321) / (2,120/√100) = -321/212 = -1.51
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Mrs. Hudson's class of 18 students is going to the zoo. Each student will pay for admission and buy a lunch. Mr. Weaver's class of 24 students is going to the library. Each student will pay for admission and pay for bus fare. The costs are shown in the table for each field trip. The total cost for each group of students is the same.
The cost of admission to the library for each student will be $0.3125. And the admission cost of the zoo will be $156.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Mrs. Hudson's class of 18 understudies is going to the zoo. Every understudy will pay for confirmation and purchase lunch. Mr. Weaver's class of 24 understudies is going to the library. Every understudy will pay for affirmation and pay for transport passage.
Let 'x' be the cost of admission to the library for each student. Then the equation is given as,
$7.50 + $8.25 × 18 + $5.75 × 18 = 24x + $10.50 × 24
Simplify the equation, then we have
$7.50 + $8.25 × 18 + $5.75 × 18 = 24x + $10.50 × 24
$7.50 + $148.5 + $103.5 = 24x + $252
$259.5 - $252 = 24x
x = $0.3125
And the admission cost of the zoo will be given as,
⇒ $7.50 + $8.25 × 18
⇒ $156
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if you had a book that was 221 pages long how long does it take to read each page if you only had a half an hour
221 pages are read in an average reader's time of 6.1 hours. Depending on your Speed, it can take you longer or less period than 6.1 hours you read 221 pages.
How do you answer the queries about speed?You should try to complete the Speed Problems on your own before checking where you are falling behind. We are aware that an object's speed is just how far it travels in one unit of time. 1. A 25 km (6 h) stroll by a man Find the man's speed, please. 2. A railway travels 70 km 30 minutes, compared to a car's 420 m in a minute.
What is the connection between distance and speed?If you're driving your car at 60 km/h, that indicates that the vehicle will cover 60 kilometres per hour. The total distance of 120 km would have been traveled after two hours of driving at a speed of 60 km/h. Because of this, distance equals speed times time, and understanding the connection between speed, time, and distance is essential to figuring out any questions about speed.
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I NEED HELP WITH THIS QUESTION ASAPP!!!
The speed of the ball after one second is given as follows:
9.175 m/s.
How to obtain the speed of the ball?The speed function is the derivative of the position function, which is graphed in this problem.
The position function, in meters, for a projectile's height, is given as follows:
h(t) = -4.9t² + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.From the graph, the initial height is given as follows:
h(0) = 6.
When t = 4, h = 2.5, hence the initial velocity is obtained as follows:
2.5 = -4.9(4)² + 4v(0) + 6
4v(0) = 2.5 - 5 + 4.9(4)²
4v(0) = 75.9
v(0) = 75.9/4
v(0) = 18.975.
Then the position function is of:
h(t) = -4.9t² + 18.975t + 6.
The velocity function is the derivative of the position, hence:
v(t) = -9.8t + 18.975.
Then the velocity after one second is of:
v(1) = -9.8 + 18.975 = 9.175 m/s.
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Which of the following functions represents the graph of y = x ^ 2 + 5 shifted down 8 units on the y-axis?
Please help ASAP
The narrowest graph of the quadratic function is y = 5x² + 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know the graph a quadratic function y = ax² + bx + c is narrower and narrower with an increase in the value of a > 1.
From the given options we conclude that y = 5x²+ 1 has the narrowest graph.
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A probability value is listed at the top of each column. Determine the probability for each situation, then drag and drop each situation into the column under its correct probability.
Answer:
0.5
1.The probability of rolling an even number on a die.
2.The probability of flipping a head on a fair coin.
3.The probability of choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball, and 3 basketballs.
0.2
1.The probability of choosing a red block out of a bag containing 1 red, 1 blue, and 3 green blocks.
2.The probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy ball.
0.4
1.The probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.
Step-by-step explanation:
HOPE THIS HELPS!!!!
What is the combined mass of the Earth and Moon Express the answer in scientific notation
The combined mass of the Earth and Moon is 6.07342 × 10^24.
What is the combined mass of the Earth and Moon?Scientific notation is a method of displaying very large or very small numbers in a more simplified format. We know that entire numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper.
Mass of Earth = 6 × 10^24
Mass of Moon = 7.342 × 10^22
The combined mass of the Earth and Moon will be:
= (6 × 10^24) + (7.342 × 10^22)
= 6.07342 × 10^24
The mass is 6.07342 × 10^24.
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A taxi (yes, they still exist) charges a flat rate of $1.75, plus an additional $0.75 per mile. If you have at most $10 to spend on the cab ride, how far could you travel?
The taxi can travel a maximum distance of 11 miles if we have at most $10 to spend on the cab ride.
What is distance?
The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line.
The formula for measuring distance between two lines, the total length of all a polygon's sides, the perimeter of a polygon on a coordinate plane, the area of a polygon, and many other things are all found in analytical geometry. For instance, we can use the distance formula to find the lengths of a triangle's sides and decide if it is scalene, isosceles, or equilateral.
It is given that, a taxi charges a flat rate of $1.75 plus an additional fee of $0.75 per mile.
We have to find the maximum distance it could travel at most with $10
Let the maximum distance be x miles.
Thus, the fare would be
$(1.75 + 0.75x) = 10
⇒ 0.75x = 8.25
⇒ x = 8.25/0.75
⇒ x = 11
The taxi can travel a maximum distance of 11 miles if we have at most $10 to spend on the cab ride.
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what is the value of 2 1/2 - (1/2 + 3/4)^
Which situation could be represented by the graph shown?
Find slope.
Over 4 x, it travels up 3 y.
Slope = rise/run
Slope = 3/4x
At x = 1, y = 3/4
In the context of the problem, this is 75 cents per unit of something.
Option C
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
what is the simplified form for (13-3/2r) - (1-r)????
Answer:
[tex]\frac{-r}{2} +12\\[/tex]
Step-by-step explanation:
Combine multiplied terms into a single fraction, find the common denominator, then combine fractions with the common denominator.
4 cups of peanut butter are needed to make 80 peanut butter cookies. Farwa wants to make 400 cookies. How many cups of peanut butter does she need?
Answer:
Step-by-step explanation:
400 ÷ 80
Number of cookies Divde by Number of peanut butter cookies
= 5 Total cups
The table represents a quadratic function write an equation of the function in standard form
The function's standard form equation is equivalent to
y=(1/2)x²+(-7x)+24.
What is a quadratic function?A mathematical expression (equation) that can be used to define and represent the relationship between two or more variables on a graph is known as a quadratic function.
The standard form of a quadratic equation in mathematics is represented by;
ax² + bx + c = 0
y=ax² + bx + c
The information in the table above would then be used to create a set of equations:
The points are (4, 4), (6, 0), (8, 0), (10, 4)
4=a(4)²+b(4)+c
16a+4b+c=4 ------(1)
0=a(6)²+b(6)+c
36a+64b+c=0 ------(2)
0=a(8)²+b(8)+c
64a+8b+c=0 -------(3)
By solving 2 and 3 equations, we get
Eq2-Eq3,
We get b= -14a
By substituting b value in eq2 we get,
36a+6b+c=0
36a+6(-14a)+c=0
35a-84a+c=0
c=48a
By substituting a, b values in eq1 we get,
16a+4(-14a)+48a=4
16a-56a+48a=4
-40a+48a=4
8a=4
a=1/2
Then, b=-14a
b= -7
c=48a
c=24
Now, by substituting these a, b, c values in,
y=ax² + bx + c
y=(1/2)x²+(-7x)+24
By checking the above equation is correct or not,
We consider the fourth value x=10
When x=10,
y=(100/2)-70+24
y=50-70+24
y=4
From the given table if x=10 then y=4,
So it satisfies with the equation we get.
Therefore, the function's standard form equation is equivalent to
y=(1/2)x²+(-7x)+24.
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if you invest 400 at 6 percent compounded monthly what is the balance after 7 years
The balance after 7 years if you invest 400 at 6 percent compounded monthly is 608.15 units.
How to find the balance when money is compounded monthly?You invest 400 at 6 percent compounded monthly . The balance after 7 years can be calculated as follows:
Therefore, using compound interest formula, let's find the amount.
[tex]A = p(1 + \frac{r}{n} )^{nt}[/tex]
where
A = amountp = principalr = ratet = timen = number of timesTherefore,
r = 6 / 100 = 0.06
t = 7 years
p = 400
n = 12
Therefore,
[tex]A = 400(1 + \frac{0.06}{12} )^{12(7)}[/tex]
A = 400(1 + 0.005)⁸⁴
A = 608.15 units
Therefore, the balance is 608.15 units
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please copy the picture or screenshot it then place the dots on the screen shot of the graph read the whole Question
The three points that are the solution set of the equation, x + 3y = -5, are shown in the graph below as: (-5, 0), (-2, -1), and (7, -4).
What is the Solution Set of the Equation of a Line?If a point is a solution to an equation of a line, it means the point lies on the line and its coordinate values will make the equation true if plugged into the equation.
Given the equation, x + 3y = -5, in slope-intercept form, it can be rewritten as y = -1/3x - 5/3.
This means that the line of this equation will have the following features:
The slope of the line = rise/run = -1/3
The y-intercept is -5/3.
The line is drawn in the graph as shown in the image below.
The solution set plotted on the line are: (-5, 0), (-2, -1), and (7, -4).
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help!!!! what’s number 2??
Answer:
Step-by-step explanation:
no
Answer: y= mb + xe
Step-by-step explanation:
Halla el menor de tres enteros impares consecutivos tales que 7 veces el entero del medio sea 15 más que la suma del primero y tercer enteros.
Using an algebraic equation to represent the word problem, the smallest integer is 1
Word ProblemThis is a way of representing mathematical problems with words. To solve this, we have to use algebraic equations or expressions.
Let the integers be represented as
xx + 2x + 4We can write an equation from the word problem given as
7 × (x + 2) = 15 + [x + (x + 4)]
7x + 14 = 15 + x + x + 4
7x + 14 = 15 + 2x + 4
collect like terms
7x - 2x = 15 - 14 + 4
5x = 5
Divide both sides by coefficient of x
5x / 5 = 5 / 5
x = 1
The smallest integer is 1
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Translation:
Find the smallest of three consecutive odd integers such that 7 times the middle integer is 15 more than the sum of the first and third integers
The greatest common factor of 56 and z , some unknown positive integer, is 14. There are two possible values of z between 20 and 50. What is the difference between these two values?
PLEASE HELP ME PLEASE ASAP!!! I WILL GIVE BRAINLIST PLEASE
ΔABC is rotated 90° clockwise about the origin.
By using the concept of rotation, it can be inferred that
New coordinate of C (C') = (12, -6)
What is rotation?
Rotation is a mathematical transformation in which an object is turned about a fixed point called the center of rotation. Rotation is a very important tool in mathematics, especially in coordinate geometry.
In this problem, 90° rotation clockwise about the origin has been applied.
We need to find the new coordinate of C after rotation.
Coordinate of C = (6, 12)
C is in the first quadrant
On rotating 90° clockwise, point C will go to fourth quadrant
New coordinate of C (C') = (12, -6)
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Find the following parts of the given numbers. 7/4 of 66
The value of the expression given as 7/4 of 66 is 231 / 2 or 115.5.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
7/4 of 66
The above expression is represented by of operation, which means multiplication
7/4 of 66 = 7 / 4 × 66
7/4 of 66 = 7 / 2 × 33
7/4 of 66 = 231 / 2
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Use the figure below to answer the following questions.
70%
What is m<3?
O a
110
40
70
Oc
Od 90
The value of m∠3 after solving the triangle is 110° and the correct option is a 110°.
What is a triangle?A triangle is a plane shape that has three sides.
To find the value of m∠3 in the triangle, we use the formula below.
Formula:
50+m∠2+m∠3 = 180° (sum of the angle in a straight line)But from the question,
m∠2 = 180-90-70 (Sum of the angle in a triangle) m∠2 = 20°Substitute the value of m∠2 into equation 1
50+20+m∠3 = 18070+m∠3 = 180m∠3 = 180-70m∠3 = 110°Hence, the correct option is a 110°.
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Can someone help give me the solution?
Answer: 8 + 5i
Step-by-step explanation: P + Q so insert each equation
5 - 2i + 3 + 7i
combine like terms
5 + 3 and 7i - 2i
leaving you with 8 + 5i in a + bi form
Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?
A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
What is Co-ordinate Geometry?
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Solution:
Please refer to the graph attached
The Option B - The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis is correct
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CAN SOMEONE HELP WITH THIS QUESTION?✨
T = 8.80 years is the time required which can be find using simple interest.
Here,
Simple Interest (I) = 3300 (8300-5000)
Principal amount (P) = 5000
Rate of Interest (R) = 7.5%
Time (T) =?
Now using the formula of Simple Interest,
I = P + R+ T
3300 = 5000 + 75/1000 + T
3300/375 = T
T = 8.80 years
What is simple interest?
The daily interest rate, the principle, and the number of days between payments are multiplied to determine simple interest.
Consumers who pay their loans off on time or ahead of schedule each month benefit from simple interest.
Simple interest loans are frequently used for auto loans and short-term personal loans.
Simple interest is calculated by multiplying the principal by the time, interest rate, and time period. "Simple Interest = Principal x Interest Rate x Time" is the written formula.
The straightforward interest computation offers a very fundamental perspective on interest. It serves as a general introduction to the idea of interest. In the actual world, the processes used to calculate interest—whether you're earning it or paying it—are typically more intricate.
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Each of 5 students reported the number of movies they saw in the past year. This is what they reported. 4, 20, 12, 20, 19
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
The mean number of movies that the students saw is 15.
What is mean?
A mean in maths is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
Mean = Sum of the observations/number of observations
Now it is given that,
Number of students = 5
The number of movies they say = 4, 20, 12, 20, 19
So,
the sum of the number of movies = 4 + 20 + 12 + 20 + 19 = 75
Hence,
Mean = sum of the number of movies / Number of students
⇒Mean = 75/5
⇒Mean = 15
Hence, the mean number of movies that the students saw is 15.
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NEED NOW PLEASE HELP
By using fraction, it can be calculated that--
a) Number of marbles not chosen = 62
b) Number of marbles in the bag before the game = 86
c) Number of blue marbles chosen = 24
What is a fraction?
Suppose there is a collection and a part of a collection has to be taken. The part which is taken is called fraction. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.
This is a word problem on fraction.
a)Number of blue marbles = 40
Number of white marbles = 46
Fraction of blue marbles chosen = [tex]\frac{3}{5} \times 40[/tex] = 24
Number of marbles not chosen = 40 + 46 -24 = 62
b) Number of marbles in the bag before the game = 40 + 46 = 86
c) Number of blue marbles chosen = [tex]\frac{3}{5} \times 40[/tex] = 24
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(-6,-3) (6,-7) slop intercept form
Answer:
Since the slope is undefined, this is a vertical line. Vertical lines have no y-intercept. No y-intercept.
Step-by-step explanation:
hope this helped:)
Answer:
To write the equation of a line in slope-intercept form, we need to first find the slope of the line. The slope is a measure of the steepness of the line, and is calculated as the rise over the run between two points on the line. In this case, we can use the points (-6,-3) and (6,-7) to calculate the slope.
To find the slope, we first need to find the difference between the y-coordinates of the two points, which is -3 - (-7) = 4. We then need to find the difference between the x-coordinates of the two points, which is 6 - (-6) = 12. The slope is then calculated as the rise over the run, which is 4/12 = 1/3.
Once we have the slope, we can use the point-slope formula to write the equation of the line in slope-intercept form. The point-slope formula is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, we can use the point (-6,-3) and the slope 1/3 to write the equation of the line.
The equation of the line in slope-intercept form is then y - (-3) = 1/3(x - (-6)), which simplifies to y + 3 = 1/3x + 2. This is the equation of the line that passes through the points (-6,-3) and (6,-7) in slope-intercept form.
Therefore, the correct answer is y + 3 = 1/3x + 2.
Step-by-step explanation:
50 POINTS ASAP!!!!! 50 POINT ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!! 50 POINTS ASAP!!!!!
PLEASE HELP
Answer:
D is the answer
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Congruent definition: Two triangles are congruent if they have: precisely the same three sides and. precisely the same three angles
the triangle has the same angle measures but different sides.
The answer is D
Which of the following relations are functions? Select all that apply.
A.
B.
C.
D.
Answer: first, second, and third images.
Step-by-step explanation:
to determine if something is a function, the domain must not have more than one answer in the range. My class calls it the y axis test, if you were to graph it, you cannot draw a line straight down that will go through two points. it's easy to understand with images like these, because all you need to know is that arrows cannot go from one number on the left to multiple on the right. Vice versa is a function, because it passes the y axis test.
Miss Casey bought a block of cheddar cheese. The block weighed 1/2 of a pound. She cut the
block up into 5 equal pieces. What was the weight of each piece of cheese?
Write your answer as a fraction or as a whole or mixed number.
Answer: 1/10 of a pound
Step-by-step explanation: The original block of cheese was 1/2 a pound, then she cut the block into 5 equal parts. Divide 1/2 by 5 and you get 1/10
Answer:
1/10 of a pound
Step-by-step explanation:
Using this word problem, we can tell that the problem is a division problem:
1/2 ÷ 5 = x
To solve a division problem with fractions, you multiply the first number with the reciprocal (reverse) of the second number:
Now you get the equation:
1/2 x 1/5
To solve this you multiply the numerators together and the denominators together:
1/10 is the answer