There are 45 marbles in a jar, and 80% of them are blue. How many blue marbles are in the jar?
If 80 % (percentage) of marbles are blue then there are 36 blue marbles.
Percentage is the process of representing parts of a number by dividing the number into equal hundreds.
If the total amount is equivalent to 100 then the percentage denotes the number which is identical to the part of the number. In other words percentage denoted as % is part of 100.
The process of converting a part into percentage is by dividing the part by the total amount and multiplying the result by 100.
Now the total number of marbles in the jar is 45 and 80% of them are blue.
Now let us consider this :
so 80% of 45 = 80/100 × 45
or, blue marbles = 36
Hence the number of blue marbles is 36.
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What point in the feasible region maximizes the objective function?
For the given maximization problem there is no the point in the feasible region which maximizes objective function C = 7x -3y.
What is feasible region ?A feasible region in any optimization problem is the collection of all the points where all the given constraints are satisfied.
For maximization problem, we will use the corner points of the feasible region and then we will check that on which corner point the objective function is maximum.
Given problem is:
Maximize Objective function C = 7x-3y
When the constraints are (i) x≥0 , (ii) y≥0 , (iii) -x+5 ≤y
(iv) y ≤ (1/3)x +1
We will graph these constraints and find the common shaded area.
x≥0,y≥0 represents that the point is in 1st quadrant
For -x+5 ≤y, we will use -x +5 =y
When x= 0 then y=5 and when y=0 then x=5 , then -x +5 =y is a line passing through (0,5) and (5,0)
and on putting (0,0) in -x+5 ≤y we get 5≤0 which is a false statement .
Therefore -x+5 ≤y is region starting with line -x +5 =y and going in direction to opposite to that of (0,0)
For y ≤ (1/3)x +1, we will use y = (1/3)x +1
When x= 0 then y=1 and when y=0 then x=-3 , then y= (1/3)x +1 is a line passing through (0,1) and (-3,0)
and on putting (0,0) in y ≤ (1/3)x +1 we get 0≤1 which is a true statement .
Therefore, y ≤ (1/3)x +1 is region starting with line y = (1/3)x +1 and going in direction of (0,0).
Thus we got the feasible region as shaded in the below attached figure.
The shaded area is unbounded , therefore no point of maximum exist on the feasible region.
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What is the quotient of 7.326 ÷ 0.3?
24.42
Step-by-step explanation:
What is a Quotient?Quotient can be defined as the result when a number is divided by another number.
Here, the Dividend = 7.326; Divisor = 0.3
7.326 ÷ 0.3 = 24.42
This shows that 7.326 is not exactly divisible by 0.3
Therefore, quotient = 24.42
The sinking of the Titanic on April 15, 1912, is one of the most infamous disasters in history. A population of 1503 passengers and crew died when the Titanic sank
approximately 400 miles south of Newfoundland, Canada. Identify whether the given value is a statistic or a parameter.
Choose the correct answer below.
OA. The value is a parameter because it describes some characteristic of a sample.
OB. The value is a parameter because it describes some characteristic of a population.
C. The value is a statistic because it describes some characteristic of a sample.
OD. The value is a statistic because it describes some characteristic of a population.
The given value, 1,503 passengers which represents the number of individuals that died according to the task content is; Choice B; The value is a parameter because it describes some characteristic of a population.
What is the difference between a parameter and a statistic?A parameter, in its simplest definition is a measure which describes a characteristic or feature of a population, for instance, the mean of the population.
A statistic on the other hand is a measure of the characteristic or feature of a sample such as a sample standard deviation.
On this note, the number 1503 as given in the task content is a parameter as it describes some characteristic of a population.
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Whick of these equations is equivalent to 1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2
The equations which is equivalent to 1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2 is 3/2 x 16/5 = 9/2.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now given equation is,
1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2
Converting them into simple fraction we get,
1 whole 1/2 = 3/2
3 whole 1/5 = 16/5
4 whole 1/2 = 9/2
Thus, the equation becomes,
3/2 x 16/5 = 9/2
this is the required equivalent equation for the given equation.
Thus, the equations which is equivalent to 1 whole 1/2 x 3 whole 1/5 = 4 whole 1/2 is 3/2 x 16/5 = 9/2.
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1x-27³ asnswer plsss
Answer:
1x - 19683
Step-by-step explanation:
(I have to assume you meant to simplify the equation)
27 to the third power can also be written as: 27 * 27 * 27
That equals 19683
So the equation would be: 1x - 19683
There were 299 tickets sold for a basketball game. The activity cardholders' tickets cost $1.25 and the
non-cardholders' tickets cost $2.50. The total amount of money collected was $563.75. How many of each kind of
ticket were sold?
Answer:
non-cardholder: 152
cardholder: 147
Step-by-step explanation:
Lets make a system of equations
c=cardholder
n=non-cardholder
1. c + n = 299
2. 1.25c + 2.50n = 563.75
Write 1 as n = 299-c
Write 2 as cents, 125c + 250n = 56375
n= 299-c
125c + 250n = 56375
Substitute n with 299 - c
125c + 250(299-c) = 56375
125c + 74750 - 250c = 56375
74750 - 125c = 56375
125c = 18375
c = 147
n = 299 - c
n = 299 - c = 152
Hope this helps :)
Have a nice day!
My answer is correct or no help me please
Answer:
Yes, you are correct.
We are told that he stops 5 times in total after walking equal distances per stop, meaning he split the total distance he had to walk into 5 parts.
The length of the distance between one stop to another would be equal to [tex]\frac{2250}{5}[/tex].
HELP PLEASE THIS IS DUE SOON❗️❗️❗️❗️❗️❗️❗️
i can't graph it for you but
x is greater than or equal to 7
determine the are of the circle, given each measurement . use 3.14 for pi and round to the nearest hundredth
Using 3.14 as the value of pi, and radius of 10, the area of the circle is given as 314.00 inches
How to solve for the area of a circleThe formula for the area of a circle is given as
πr² in terms of radius, r.
The radius is related to the diameter, d by r = d/2. so the area of a circle can also be in terms of the diameter, which is given as
πd²/4 in terms of diameter of a circle
We have been given the radius of the question as 10
When we add this to the formula we would have
Area = 3.14 x 10²
= 3.14 x 10 x 10
= 314.00
Hence we can conclude that the radius of a circle as 10 inches, the area of a given circle to the nearest hundred is 314.00 in²
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Complete question
Determine the area of the circle, given each measurement. Use 3.14 for Pi and round to the nearest hundredth.
Radius: 10 in.
A=_____in^2
The Sugar Sweet Company is going to transport its sugar to market. It will cost $400 to rent trucks plus $20 for each crate of sugar transported. The total cost, C (in dollars), for transporting crates is given by the following function.
C(n) = 400+20n
Describe the meaning of c(3) in the context.
The cost of transporting _ crates of sugar is _ dollars.
Answer:
Blanks: 3 and 460Step-by-step explanation:
C(3) means the cost of transporting 3 crates of sugar.
It is calculated by substituting the value of n into equation:
C(n) = 400+20nC(3) = 400 + 20*3 = 400 + 60 = 460The cost of transporting 3 crates of sugar is 460 dollars
PLSSS I NEED AN ANSWERR
find the midpoint of the segment with the given endpoints. (-1,5) and (-6,-8)
Answer: The midpoint is 1/2
Step-by-step explanation: The formula we are using for this problem is (x1+x2/2, y1+y2/2) I substitute the points for the equation and it looked likes this (-1-6/2)(5-8/2) and got 5/2-3/2 and the final answer is 1/2!
Hope this helped C:
Answer:
( -3 1/2, -1 1/2) or as a desimal (-3.5, -1.5)
Step-by-step explanation:
Brainliest please
CHAPTER 6
QUESTIONS 5 AND 6
The rotation of 90° counterclockwise is-
Part 5) The correct option is C.
Part 6) The correct option is A.
What is meant the rotation of 90° counterclockwise?A rotation is a transformation which revolves an object around a fixed point known as the centre of rotation.
An object as well as its rotation have the same size and shape but the figures can be rotated in different directions.When we rotate a figure 90 degrees counterclockwise, we must change each point from (x, y) to (-y, x) as well as graph the rotated figure.For the given questions;
Part 5) rotation of 90° counterclockwise for ABCD
The position of the figure ABCD after the rotation of 90° counterclockwise is shown by option C. The coordinates of E after rotation will be at (-2,0).
Part 6) rotation of 90° counterclockwise for ABCD
The position of the figure ABCD after the rotation of 90° counterclockwise is shown by option A. The coordinates of B after rotation will be at (6,4).
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A 39.2 g sample of copper took
up the 4.4 cm3 of space.
What is the density of the
copper piece in g/cm3?
[?] g/cm³
Record your answer to the tenths place.
Density (g/cm³)
The density of the copper piece is 17. 82g/cm³
How to determine the density
The formula for determining density is expressed as;
D = m/ v
Density is denoted with rho 'ρ'
Where;
m is the mass of the object = 39.2 g v is the volume occupied by the object = 4.4 cm³Substitute the values into the formula
Density, ρ = 39. 2/ 4. 4
Divide through
Density, ρ = 17. 82 g/cm³
The density of the copper piece is 17. 82g/cm³
Thus, the density of the copper piece is 17. 82g/cm³
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Write a function rule for the following situation: A plumbing company charges $50 to come out for a job and $25 per hour while completing the job.
A: c=50h+25
B: c=25h+50
C: h=50c+25
D: h=75c
12. A town’s most popular drive-in restaurant has 2,500 followers on a social networking website. The town’s high school athletic program has 1.5 104 followers on the same website. Which is more popular according to this data, the drive-in or the athletic program? Show your work. Use standard notation. __________________________________
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. The athletic program is more popular.
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Given that,
A town’s most popular drive-in restaurant has 2,500 followers on a social networking website.
The town’s high school athletic program has 1.5* 10^4 followers on the same website.
We need to find which is popular among both the programs.
Athletic program views=1.5* 10^4=15000.
Drive in has views 2,500
15000>2500
Therefore athletic program is more popular according to the given data.
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Please help me 74-23=
Answer:
51
Step-by-step explanation:
Itsssssssssssss 51 ezyyy
Answer:
51 is correct Answer. Please mark me as brainlist answer.
Solve the literal equation for y 5x-2=8+5y
Answer:
y = x - 2
Step-by-step explanation:
5x - 2 = 8 + 5y ( subtract 8 from both sides )
5x - 10 = 5y ( isolate y by dividing both sides by 5 )
[tex]\frac{5}{5}[/tex] x - [tex]\frac{10}{5}[/tex] = y , that is
y = x - 2
Alicia bought 2 tickets to a rock concert. She paid a 3% service charge for buying them online. Her total cost was $92.70. What
was the price of each ticket, not including the service charge?
Price of each ticket without service charge is : 43.569 Service charge : A service charge is an amount that is added to your bill in a restaurant to pay for the work of the person who comes and serves you.
So we have to find out price of each ticket without service charge
Total service charge added on both the tickets : 3%
Step by step solution :
$92.70 (both tickets with service charge)
92.70*3/100
2.781 (service charge for one ticket)
2.781*2= 5.562
92.70-2.781=89.919
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Write the equation described in each case.
The line perpendicular to y =
a. slope of the new line:
b. equation:
x + 6 through (3, 2).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{1}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so a perpendicular line to that one will have
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1}\implies -1}}[/tex]
so we're really looking for the equation of a line whose slope is -1 and that it passes through (3 , 2)
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- 1}(x-\stackrel{x_1}{3}) \\\\\\ y-2=-x+3\implies {\LARGE \begin{array}{llll} y=-x+5 \end{array}}[/tex]
If f(0) = 1, then the point is _ on the graph of f
If f (0) = 1, then the point is ( 0 , 1 ) on the graph of f (x).
A point on a graph is represented by the form:
( x , y ) where x is the abscissa and y is the ordinate of the function.
We are given a point on the graph of f ( x ) = y as:
f ( 0 ) = 1
Comparing it with f (x) = y, we get that:
x = 0
y = 1
so, the point will become:
( 0 , 1 )
Therefore, we get that, If f (0) = 1, then the point is ( 0 , 1 ) on the graph of f (x).
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What is the missing side length?
Answer:
12 yd
Step-by-step explanation:
Since the questions says "assuming that all intersecting sides meet at right angles" means that this shape is made up of 2 rectangles :
So Opposite 16 yd should be the 4 yd at the bottom + missing side
So the answer is 12 yd
Hope this helped and you understood and have a good day
identify the coefficient and the exponent for each term of the equation in the photo, thanks!
Answer:
Leading coefficient: 2
Exponential term: 2x⁵
Hope this helps.
Answer:
2 and ^5
Step-by-step explanation:
cause the coefficients are the bigger numbers in the beginning
The mass of planet earth is about 5.98x[tex]10^{24}[/tex] kilograms. When this number is written in standard notation, how many zeros are in the number
Answer:
there are 22 zeros when the number is written in standard notation.
The amount of monthly data usage by sample of 10 cellphone users (in GB) is shown below: 4.7,6.3,2.5 GB, 0.8, 1.8,7.8,0.7, 1081,0.6,4.6 Identify potential irregularities in the data. Identify potential irregularities Select all that apply: The seventh value The eighth value The sixth value The ninth value The second value The fifth value The first value The third value The tenth value The fourth value
The potential irregularities in the given data are; The third term and the eight term.
What is the Outlier of the given data?
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
Now, we are given the amount of monthly data usage by sample of 10 cellphone users (in GB) as: 4.7, 6.3, 2.5 GB, 0.8, 1.8, 7.8, 0.7, 1081, 0.6, 4.6.
By careful observation, we can tell that majority of the 10 samples are decimals and less than 10. Thus, the first irregularity or outlier is 1081.
Now, the given data is said to be all in GB and as such there is no need to still add GB to 2.5. Thus, the second irregularity or outlier is 1081.
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help asap please!!! points!!
What is the standard deviation for the set of data { 6,7,8,9,10}? Find the standard deviation by completing the table.
The steps given to find the standard deviation of the data-set are as follows:
n = 5.[tex]\sum x = 40[/tex][tex]\bar{x} = \frac{\sum x}{n} = 8[/tex][tex]\sum (x - \bar{x})^2 = 10[/tex][tex]\frac{\sum (x - \bar{x})^2}{n} = 2[/tex][tex]\sqrt{\frac{\sum (x - \bar{x})^2}{n}} = 2[/tex]What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For this problem, the are 5 values, hence:
n = 5.
The sum of the values is given by:
6 + 7 + 8 + 9 + 10 = 40.
Hence:
[tex]\sum x = 40[/tex]
The mean is given by:
40/5 = 8.
Hence:
[tex]\bar{x} = \frac{\sum x}{n} = 8[/tex]
The sum of the differences squared between each observation and the mean is:
(6 - 8)² + (7 - 8)² + (8 - 8)² + (9 - 8)² + (10 - 8)² = 10.
Hence:
[tex]\sum (x - \bar{x})^2 = 10[/tex]
Dividing by the number of values, we have that 10/5 = 2, hence:
[tex]\frac{\sum (x - \bar{x})^2}{n} = 2[/tex]
Taking the square root, the standard deviation is:
[tex]\sqrt{\frac{\sum (x - \bar{x})^2}{n}} = 2[/tex]
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A group of 66 randomly selected students have a mean score of 22.4 with a standard deviation of 2.8 on a placement test. What is the 90% confidence interval for the mean score, μ, of all students taking the test? 21.5 < μ < 23.3 21.8 < μ < 23.0 21.6 < μ < 23.2 21.7 < μ < 23.1
The 90% confidence interval for the mean score, μ, of all students taking the test is B. 21.8<u<23.0
How to illustrate the information?Given a=0.1, Z(0.05)=1.645 (from standard normal table)
So 90% confidence interval is
xbar+/-Z*s/vn
= 22.4+/-1.645*2.8/sqrt(66)
= (21.83304, 22.96696)
Therefore, the 90% confidence interval for the mean score, μ, of all students taking the test is 21.8<u<23.0.
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Taylor has a points card for a movie theater.
She receives 20 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs 209 points for a free movie ticket.
How many visits must Taylor make to earn a free movie ticket?
Answer:
14
Step-by-step explanation:
4. What angle measures larger than 90 degrees, but less than 180 degrees? A reflx B straight C obtuse D right
Answer:
C obtuse
Step-by-step explanation:
An Obtuse angle measures more than 90° but less than 180°. A Straight angle or a half turn is always 180 °. Reflex is the next largest measuring more than 180° but less than 360°.
8.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
The measure of the central angle m∠UQR is 130 degrees.
How to find central angles?Central angle is the angle formed by two arms and having the vertex at the centre of a circle.
The diameter of a circle runs from the centre of a circle.
The diameter SU and RT intersect each other at point Q.
Therefore,
m∠UQT = m∠RQS (Vertically opposite angles)
m∠UQR = m∠TQS (Vertically opposite angles)
Hence,
m∠RQS = 50°
Therefore,
m∠UQR = 360 - 50 + 50 / 2
m∠UQR = 360 - 100 / 2
m∠UQR = 260 / 2
m∠UQR = 130°
Therefore, the measure of the central angle m∠UQR is 130 degrees.
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