Final answer:
The sample space for picking a single marble from a bag containing two red and three blue marbles has 5 outcomes, represented as R1, R2, B1, B2, B3.
Explanation:
To determine the number of possible outcomes in the sample space when you randomly pick a marble from a bag containing two red marbles and three blue marbles, you must consider each marble as a distinct possibility. Since there are 5 marbles in total, each draw from the bag has 5 potential outcomes. It does not matter the color of the marble; each draw represents a distinct event with 5 possible outcomes.
Therefore, the sample space, which represents all possible outcomes, contains 5 elements. These outcomes can be represented as R1, R2, B1, B2, and B3, where 'R' stands for red marbles, 'B' stands for blue marbles, and the numbers differentiate between the individual marbles.
4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
Answer:
what are you looking for
Step-by-step explanation:
Help. Interpreting Graphs Of Proptional Relasionships. !
Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.
Explanation:When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.
Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.
Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.
Maria has an annual income of
$32,000. If she saves 8% of her
income, how much money does
she save?
Answer:
17,810.58
Step-by-step explanation:
A = $ 17,810.58
A = P + I where
P (principal) = $ 10,000.00
I (interest) = $ 7,810.58
Step-by-step explanation:
we can write it in %form:
100% of the total income Annual income= $32,000 (given in question)
1%=$320. (divide both sides by 100 to solve by 1%)
8%=$320×8
(multiply by 8 both side to get money saved)
8%= *$2,560*
Which scoring scheme is the most favorable to the test taker?
Answer:
If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?
Then I believe the answer is scheme D
Step-by-step explanation:
edge ( Brainliest if you can)
Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step
Answer:
-36/7 or -5.14287
Step-by-step explanation:
so I would get rid of parentheses you do not need them
[tex]\frac{-6+-30}{5--2}[/tex]=[tex]\frac{-36}{7}[/tex](because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)
-36/7=-5.1428
hope this helps!
Christina estimated 188% of 91 by performing these steps. What did she do wrong?
(90)(190%)
= (90)(100%+90%)
= (90)(100%) +(90) (90%)
= (90)(1.0)+(90) (0.9)
= 90+ 18
= 108
Answer:
she incorrectly multiplied 90 times 0.9
Step-by-step explanation:
Two sides of a triangle measure 10 cm and 18 cm. Which could be the measure of the third side of the triangle?
6 cm
8 cm
12 cm
30 cm
Answer:
12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22
Step-by-step explanation:
Final answer:
The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.
Explanation:
The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.
Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.
Use the data set to answer the question.
{122,132,155,198,213,225,261,280}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
The mean absolute deviation for the given data set is 45.1.
Explanation:To find the mean absolute deviation for a given data set, follow these steps:
Find the mean of the data set by adding up all the values and dividing by the total number of values.
For each value in the data set, find the absolute difference between the value and the mean.
Find the average of these absolute differences by summing them up and dividing by the total number of values.
In this case, the data set is {122,132,155,198,213,225,261,280}.
The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.
The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.
HELPPP PLEASE
A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Question 2 options: 226 ft3 679 ft3 905 ft3 2714 ft3
The volume of the tent is option A) 226 ft³
Step-by-step explanation:
The given data are,
A cone-shaped tent has a diameter of 12 ft.The height of the cone is 6 ft.To find the volume of the tent :
The volume of the tent can be found using the formula for volume of the cone, since the tent is in the shape of a cone.
Volume of the cone = (1/3)πr²h
where, r is the radius of the cone. The diameter is given as 12 ft. Therefore, to find the radius = diameter /2 = 12/2 = 6 ft.
The radius, r = 6 ft.
The height h of the cone is h= 6 ft.
Volume of the cone = (1/3)× 3.14× 6²× 6.
⇒ (1/3)× 3.14× 216
⇒ 678.24 / 3
⇒ 226.08 (which is approximately 226)
⇒ 226 cubic. ft
Therefore, the volume of the tent is option A) 226 ft³
the area of the base (B) of a triangular pyramid is 28 cm. The perimeter (p) is 20 cm, and the slant height (S) is 5 cm. Determine the pyramid's surface area. A) 96 cm2 B) 128 cm2 C) 225 cm2 D) 78 cm2
Answer: D. 78cm2
Step-by-step explanation:
SA=B+1/2ph
SA=28+1/2(20)(5)
SA=78cm2
Answer:
78 cm2
SA = B +
1
2
ph
SA = 28 +
1
2
(20)(5)
SA = 78 cm2
if a pair of 1-6 number generators is tossed once, what is the propabilitly that the total number rolled would be..1?.... 2?.... 3?
Probability that the total number rolled would be 1 , 2 , 3 is [tex]\frac{1}{6}[/tex] or 0.167 each .
Step-by-step explanation:
Here we have , a pair of 1-6 number generators is tossed once, . We need to find that what is the probability that the total number rolled would be..1?.... 2?.... 3?. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .
Probability for 1: Number 1 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 2:Number 2 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
Probability for 3:Number 3 will come out of 6 digits present there so,
[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]
⇒ [tex]Probability = \frac{1}{6}[/tex]
⇒ [tex]Probability = 0.167[/tex]
A square and a regular hexagon have side of the same length. The perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon. What is the x, the length of the side of the hexagon or square
The length of the side of the hexagon or square is 24 units.
Step-by-step explanation:
It is given that, a square and a regular hexagon have side of the same length.
The length is not given in the problem. So, let us assume the length of the side of hexagon or square as 'x'.
The additional information given is that, the perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon.
The perimeter of the square = 4 × length of the side.Then, the perimeter of the square increased by 48 units = (4x + 48).The perimeter of the hexagon = 6 × length of the side.Therefore, the perimeter of the hexagon = 6x.To calculate the length x of square and hexagon :
Comparing both the perimeters of square and hexagon,
⇒ (4x + 48) = 6x
⇒ 48 = 6x-4x
⇒ 2x = 48
⇒ x = 48/2
⇒ x = 24 units.
The length of the side of the hexagon or square is 24 units.
Distributive property of (-1)(4-c)
Answer:
[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]
Step-by-step explanation:
[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]
Anna pays for her purchase with four $20 bills and two $10 bills. Which is the correct change for Anna's purchase?
A) Two $1 bills, one nickel, and two pennies
B) Two $1 bills and one dime
C) Three $1 bills, one nickel, and two pennies
D) Three $1 bills, two nickels, and two pennies
E) None of the above
Answer:
what was she buying ?total she has 100 dollars
Step-by-step explanation:
ASAP NEED ANSWERS :) PLEASEEEEEEEE
Answer:
C I think.
Step-by-step explanation:
=============================================
Why this is the answer:
The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.
While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r
Comparing 6.28r and 6r, we see that 6.28r is larger than 6r
6.28r > 6r
6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)
This is true for any value of r.
Find the perimeter of the triangle below. Then, explain the steps you used to find the perimeter
The perimeter of the triangle = 60 cm
Solution:
The given triangle is a right triangle.
Base of the triangle = 15 cm
Hypotenuse = 25 cm
Let the unknown side of the triangle be x.
Using Pythagoras theorem,
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.
[tex]x^2+15^2=25^2[/tex]
[tex]x^2+225=625[/tex]
Subtract 225 from both sides,
[tex]x^2=400[/tex]
Taking square root on both sides, we get
x = 20
The unknown side of the triangle is 20 cm.
The perimeter of the triangle = Sum of the sides of the triangle
= 15 cm + 25 cm + 20 cm
= 60 cm
The perimeter of the triangle = 60 cm
Find the perimeter of a rectangle with a base of 24m
and a height of 36m.
Graph a line that contains the point (-5, -6) and has a slope of
aina
5+
+
но са
-7
-6
-5
-4
-3 -2
1
2
3
4
5
6
7
Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].
Solution:
Slope (m) = [tex]\frac{2}{3}[/tex]
Point [tex](x_1, y_1)=(-5, -6)[/tex]
Point - slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]$y-(-6)=\frac{2}{3}(x-(-5))[/tex]
[tex]$y+6=\frac{2}{3}(x+5)[/tex]
[tex]$y+6=\frac{2}{3}x+\frac{10}{3}[/tex]
Subtract 6 from both sides.
[tex]$y+6-6=\frac{2}{3}x+\frac{10}{3}-6[/tex]
[tex]$y=\frac{2}{3}x+\frac{10-18}{3}[/tex]
[tex]$y=\frac{2}{3}x-\frac{8}{3}[/tex]
Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].
The image of the graph is attached below.
Answer:
Equation of the line is
Step-by-step explanation:
On 1st January 2016 Li bought a boat for $170000
The value of the boat depreciates by 8% per year.
Work out the value of the boat on 1st January 2019
Give your answer correct to the nearest dollar.
After a depreciation of 8% per year for 3 years, the value of Li's boat depreciates to approximately $136258, according to the formula for calculating the value of an asset after a certain number of years of depreciation.
Explanation:The value of an asset after a certain number of years, taking into account annual depreciation, can be calculated using the formula: Preliminary Value x ((100 - Depreciation Rate) / 100) ^ Years Of Depreciation.
Given that the initial value of Li's boat was $170,000 and it depreciated by 8% each year, we can substitute these values into the formula to find the value of the boat on 1st January 2019 (after 3 years).
So, the boat's value would be: $170,000 x ((100 - 8) / 100) ^ 3. This simplifies to $170,000 x (0.92) ^ 3, yielding a final value of approximately $136258
Learn more about Depreciation calculation here:https://brainly.com/question/31180880
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What is the factored form of x6 - 9?
Answer:
Step-by-step explanation:
(x 3)(x – 3)
(x5 3)(x – 3)
(x3 3)(x2 – 3)
(x3 3)(x3 – 3)
Answer:
(x3 + 3)(x3 – 3)
Step-by-step explanation:
1 meter = 100 centimeters
Each centimeter is
_or_
of a meter.
Answer: 1/100 or 0.01
Answer:
1 cm = 0.01 m
Step-by-step explanation:
Divide both sides of 1 meter = 100 centimeters by 100 to obtain an expression for the value of 1 cm:
1 meter 100 cm
---------------- = -------------
100 100
Reducing this, we find that: 1 cm = 0.01 m
Solve and check y-12=4y
Answer:
-8
Step-by-step explanation:
The answer is -8 because y=4 so 4-12=-8
If the r-value, or correlation coefficient, of a data set is 0.934, what is the
coefficient of determination to three decimal places?
What are the characteristic of financially responsible decision
Which sequence is geometric and has `1/4` as its fifth term and `1/2' as the common ratio?
O A..., 1, 1/2", 1/4", 1/8"...
B..., `1/4,' 1/2,' '1, 2, ...
O C.., 1/72", 1/36', '1/18', '1/9 ,...
OD..., 8,' '4,' '2,' 1,' ....
Answer:
A..., 1, 1/2", 1/4", 1/8"...
Step-by-step explanation:
a store sells 14 2/3 lb of carrots one day. The next day the store sells to 2 1/3 pounds of carrots how many pounds of carrots did the store sell?
Answer: 17lbs of carrots
Step-by-step explanation:
James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.
Answer:
James is 58 and Tyson is 39 years old.
Step-by-step explanation:
x + y = 97
x - y = 19 +
--------------
2x = 116
x = 58
--------------
y = 97 - 58
y = 39
To find the ages of two friends based on the sum and difference of their ages.
Explanation:James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:
Let's denote James' age as x and Tyson's age as y.We have the equations: x + y = 97 and x - y = 19.Solving these equations simultaneously gives x = 58 and y = 39.Therefore, James is 58 years old, and Tyson is 39 years old.
I WILL GIVE BRAINLIEST, 5 STARS, AND THANKS!
Find the volume of the prism.
A. 250 yd3
B. 50 yd3
C. 20 yd3
D. 200 yd3
Answer:
D
Step-by-step explanation:
To find Volume, you multiply length, width and height.
10x4=40
40x5=200
Answer:
D)200yd^3
Step-by-step explanation:
all you have to do is times 4*5*10=200 to get the volume
in a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.
Answer:
Each shirt cost $12
Step-by-step explanation:
First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.
6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41
Hence we have two equations, and we solve them simultaneously.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the
2(6s+3t=79.5)
12s+6t=159 Equation 3
3(3s+2t=41)
9s+6t=123 Equation 4
We subtract equation 4 from equation 3.
12s+6t=159
9s+6t=123
12s-9s=3s
6t-6t=0
159-123=36
We therefore have
3s=36
Divide both sides by 3
s=36/3
s=12
One shirt cost $12
Each lapel on a suit jacket is in the shape of a triangle.the three angles of each triangle measure 47 , 68 and 65. classify the triangle by its angles
The type of triangle is acute angled triangle.
Solution:
Let us first define the type of triangles based on angles.
If all angles of a triangle are less than 90°, then it is acute angled triangle.
If any one angle of a triangle is exactly 90°, then it is right angled triangle.
If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.
Given angles of a triangle:
47°, 68° and 65°
Here all the three angles are less than 90°.
Hence it is a acute angled triangle.