The theoretical probability of randomly getting a black counter is P = 2/5.
How to get the theoretical probability?
In this case, we have 8 black counters and 12 white counters, so there is a total of 20 counters.
We assume that all the counters have the same probability of being randomly selected, then the probability of randomly selecting a black counter is just given by the quotient between the number of black counters and the total number of counters.
There are 8 black counters and 20 in total, then the probability is given by:
P = 8/20
Now we can simplify that fraction to get:
P = 2/5
The theoretical probability of randomly getting a black counter is P = 2/5.
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Whats the increace if you go from $90 to $108
Answer:
The increase is $18.
(In case you are asked about the percent increase,
percent increase = 20%)
Step-by-step explanation:
To find an increase, subtract.
$108 - $90 = $18
The increase is $18.
Answer: The increase is $18.
If you are asked about the percent increase, then use this formula:
percent change = (new number - old number)/(old number) × 100%
Here, the new number is $108. The old number is $90.
percent change = ($108 - $90)/($90) × 100%
percent change = $18/$90 × 100%
percent change = 0.2 × 100%
percent change = 20%
Since the percent change is a positive number, it is a percent increase.
Answer: percent increase = 20%
Ronaldo specializes in creating sewing patterns for dresses, and wants to set up his own website to sell electronic copies. He pays $120 for a domain name and web hosting services for the first year. Ronaldo makes $14.25 for each electronic pattern that he sells. How many patterns must he sell to cover the cost of the website for the first year? Round your answer to a whole number.
Answer:
8
Step-by-step explanation:
120/14.25=8.4 rounded off to a whole number is 8
Janet plans to save $22.50 each week until she has enough to buy a $180 bicycle. After how many weeks will she have enough money for a bicycle.
Answer:
Step-by-step explanation:
8weeeks bc 22.50*8=180
95 m
b =
b
57 m
What is the length of the missing leg? If necessary, round to the nearest tenth.
meters
If the length of hypotenuse is 95 m ,perpendicular is 57 m then the length of missing leg is 76m.
Given that the length of hypotenuse is 95 m ,the length of perpendicular is 57 m.
We are required to find the length of base or missing leg.
The given triangle is a right angled triangle. We can easily find out the length of the base of the triangle by using pythagoras theorem.
Pythagoras theorem says that the square of hypotenuse of a right angled triangle is equal to the sum of squares of the base and perpendicular of that triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex]
We have to find the base of the triangle.
B=[tex]\sqrt{H^{2} -P^{2} }[/tex]
=[tex]\sqrt{(95)^{2} -(57)^{2} }[/tex]
=[tex]\sqrt{9025-3249}[/tex]
=[tex]\sqrt{5776}[/tex]
=76 m.
Hence if the length of hypotenuse is 95 m ,perpendicular is 57 m then the length of missing leg is 76m.
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7x-3y=-7 slope of line perpendicular
Answer: -3/7
Step-by-step explanation:
The first step is to find the slope of the line
y = mx + c where m is the slope of the line
Rearrange the equation and we get
3y = 7x + 7
y = 7x/3 + 7/3
So the slope of the line 7x - 3y = -7 is 7/3
There is another rule that states: The product of the slopes of two lines perpendicular to each other is -1
So, the slope of the line perpendicular to 7x - 3y = -7 is -1/(7/3) = -3/7
Ama and her son Brandon's average age is currently 36 years. When Brandon was born, Ama was 34 years old. How old is Brandon now?
If Ama and her son Brandon's average age is currently 36 years. then
Brandon's age is 38 years.
What is Equation?Two or more expressions with an equal sign is called as Equation.
Let the Brandon age be x
Ama was 34 years old
Ama and her son Brandon's average age is currently 36 years
(34 + x)/2= 36
Use cross multiplication
34 + x = 72
x=72-34
x = 38
So Brandon's average age is 38.
Hence Brandon is 38 years old.
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i need help please!!
Answer:[tex]DB \cong VT[/tex]
Step-by-step explanation:
All 3 sides need to be congruent.
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
A circle is a shape formed by a curved side. Therefore, the required answers are:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR = [tex]\frac{264600}{44r}[/tex] degrees
An angle is said to be formed whenever two or more straight lines intersect or meet. But an inscribed angle is an angle formed within a given circle.
A circle is a shape formed by a curved side. Some of its parts are semicircle, radius, diameter, chord, sector, segment, etc.
Thus the following can be deduced from the given question:
1. An example of an inscribed angle is: <SQT or <QST or <QTS
2. An example of a minor arc is: arc QT or RS or QR
3. An example of a semicircle is: QRS or QTS
4. <QPR.
length of an arc = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
where r is the radius of the circle
105 = [tex]\frac{x}{360}[/tex] x 2 x [tex]\frac{22}{7}[/tex] x r
= [tex]\frac{44xr}{2520}[/tex]
44 xr = 105 x 2520
44xr = 264600
x = [tex]\frac{264600}{44r}[/tex]
Therefore the measure of angle QPR in terms of r is [tex]\frac{264600}{44r}[/tex] degrees.
5. The length of arc QTR can be determined by;
Arc QTR = [tex]\frac{x}{360}[/tex] 2[tex]\pi[/tex]r
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Jake goes to the grocery store and buys 3 apples, 2 cans of soup, and 1 box of cereal. The apples cost $0.89 each; the soup costs $2.98 per can; and the box of cereal costs $4.99. Write an equation that represents the total cost c of Jake’s purchases.
The equation that represents the total cost, c, of the purchases made by Jake is: c = 3(0.89) + 2(2.98) + 4.99.
How to Write the Equation of Total Cost?To write the equation that represents the total cost of a given scenario like the one given, you can use variables to represent each component that makes up the total cost in the given situation.
Thus, let:
a = apple = 3a
s = can of soup = 2s
b = box of cereal = b
c = total cost
We know that unit price of each items are:
Apple = $0.89
Can of soup = $2.98
Box of cereal = $4.99
Equation would be:
c = 3a + 2s + b
Plug in the values
c = 3(0.89) + 2(2.98) + 4.99
Therefore, the equation that represents the total cost, c, of the purchases made by Jake is: c = 3(0.89) + 2(2.98) + 4.99.
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Assume the graph is derivative f(x). Answer for f(x)
The intervals which the original function f(x) concave down are (-5, -2) and (3, 5)
How to determine the intervals which the original function f(x) concave down?The information that completes the question are added as an attachment
The question requires that we determine the intervals which the original function f(x) concave down
From the attached graph, we have the following turning points
(-2, -4) and (3, 2)
From the domain of the graph, the curve starts at (-5, 0), turns at (-2, -4), also turns at (3, 2) and then stops at (5, 0)
So, we have:
(-5, 0), (-2, -4), (3, 2) and (5, 0)
Remove the y coordinates
x = -5, -2, 3 and 5
Express as intervals
(-5, -2) and (3, 5)
Hence, the intervals which the original function f(x) concave down are (-5, -2) and (3, 5)
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3 digit passcode using only digits 3 & 9
Answer:
339
Step-by-step explanation:
A participant in a medical study walked 10,388 steps per day. If their
steps are 2.5 feet per step, how many kilometers would they walk in aweek if they took 10,388 steps per day? Round to the nearest kilometer.
Do not include units with your answer.
Answer:
55.4068881439
Step-by-step explanation:
Lets first find the feet they walk per day, multiply the steps by the feet/step:
[tex]10,388*2.5=25970[/tex]
Now lets find the feet/week by multiplying that value by 7:
[tex]25970*7=181790[/tex]
Now lets convert the feet to km:
[tex]181790/3281=55.4068881439[/tex]
Resulting in approximately 55 kilometers
HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20
STUDENTS IF THE COMMITTEE IS TO CONSIST OF TWO TEACHERS AND THREE
STUDENTS?
Answer:
6840
Step-by-step explanation:
multiply combinations
n!/(r!(n − r)!)
n choose r
n (objects) = |n
r (sample) = r
(4 teachers, CHOOSE 2)*(20 students, CHOOSE 3)
C(4,2) times C(20,3) =
C(n,r)=?
C(n,r) = C(4,2)
4! / (2!(4-2)!)
4! /2! x 2!
= 6
C(n,r)=?
C(n,r) = C(20,3)
20! / (3!(20-3)!)
20! / 3! x 17!
= 1140
6 * 1140 = 6840
alegbracom Edwin McCravy
if cos 0= -3/5 in quadrant ii, what is sin 0
The value of sin 0 in quadrant 2 is 4/5
How to determine the identityGiven that cos 0 = -3/5
We have;
adjacent = -3hypotenuse = 5Let's find the opposite side, using Pythagorean theorem
5^2 = x^2 + (-3)^2
25 = x^2 + 9
collect like terms
x^2 = 25 - 9
x^2 = 16
x = √ 16
x = 4
We have that
sin 0 = opposite/hypotenuse
sin 0 = 4/5
It is important to note that the trigonometric identity 'sine' is positive in quadrant 2
sin 0 = 4/5
Hence, the value of sin 0 in quadrant 2 is 4/5
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Cody earned 600 from delivering groceries last year. He deposited this money in an account that pays an interest rate of 2% compounded annually. What will be his balance after 20 years. pls answer asap
The balance that Cody earned after 20 years is 891.57. Using the compound interest formula, the required value is calculated.
How to calculate the compound interest?The compound interest is calculated by
[tex]A = P(1 + \frac{r}{n} )^n^t[/tex]
Where,
A - Total amount (Future value)
P - Principal amount (Initial value)
r - The rate of interest
n - Number of times compounded per 't'
t - Total number of years the money is invested
Calculation:It is given that,
P = 600
r = 2% = 0.02
t = 20 years
n = 1 (since the amount is compounded annually)
Then,
[tex]A=600(1+\frac{0.02}{1})^1^*^2^0[/tex]
= 600 (1 + 0.02)²⁰
= 600 (1.02)²⁰
= 891.57
Therefore, the balance after 20 years is 891.57.
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Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1 graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1 graph of two parallel lines with positive slopes with text on the graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions Question 4(Mul
The system of equations has one solution (-1, 1)
Graph of system of linear equationsFrom the question, we are to graph the given system of equations.
The given system of equation is
y + 2x = −1
3y − x = 4
The graph of the given system of equations is shown below.
From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).
Hence, the system of equations has one solution (-1, 1)
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I think the answer is A. The first one
Express each of the following in metres.
(iii) 10,000cm
Answer:
100m
Step-by-step explanation:
How much are 10000 centimeters in meters?
10000 centimeters equal 100.0 meters (10000cm = 100.0m). Converting 10000 cm to m is easy. Simply use our calculator above, or apply the formula to change the length 10000 cm to m.
Answer:
100m
Because- 1m=100cm
10m=1000cm
100m=10,000cm
5x-3>17 or -2x+2>8 inequality
The solution of the inequality is as follows;
x > 4 or x < -3
How to solve inequality?The inequality can be solve as follows:
5x - 3 > 17 or -2x + 2 > 8
Let's solve the first inequality,
5x - 3 > 17
add 3 to both sides of the inequality
5x - 3 + 3 > 17 + 3
5x > 20
divide both sides by 5
5x / 5 > 20 / 5
x > 4
-2x + 2 > 8
subtract 2 from both sides
-2x + 2 - 2 > 8 - 2
-2x > 6
divide both sides by -2
-2x / -2 > 6 / -2
x < -3
Therefore, x > 4 or x < -3
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Which expression represents the
number of reams of paper the company
produced during the second year?
The expression that represents the number of reams of paper produced in the second year is 4.704 x [tex]10^{10}[/tex] (option d)
What is the expression that represents the reams produced in the second year.The quantity of paper produced in the first year is written in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers.
In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
For example, The number 5 x 10³ is equivalent to 500
Paper produced in the second year = paper produced in the first year x 5.6
(8.4 x [tex]10^{9}[/tex] ) x 5.6 = 47.04 x [tex]10^{9}[/tex]
4.704 x [tex]10^{9 + 1}[/tex]
= 4.704 x [tex]10^{10}[/tex]
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The tree diagram represents an
experiment consisting of two trials.
5
5
VV
P(A and D)= [?]
Based on the given parameters in the question, the value of the probability of A and D is 0.30
How to determine the probability?The given parameters from the tree diagram are:
Probability of event A: P(A) = 0.5Probability of event D: P(D) = 0.6The probability P(A and D) is calculated using the following probability formula
P(A and D) = P(A) × P(D)
Substitute the known values in the above equation
P(A and D) = 0.5 × 0.6
Evaluate the product of 0.5 and 0.6
P(A and D) = 0.30
Hence, the value of the probability of A and D is 0.30 based on the given parameters in the question
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What is the mean absolute deviation of this? 1 is 2 sundaes.
Using it's concept, the mean absolute deviation of the data-set is of 2 sundaes.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.The mean for this problem is:
(4 + 6 + 2 + 4)/4 = 4
Hence the MAD is:
(|4-4| + |6-4| + |2-4| + |4-4|)/4 = 1
Since each unit represents 2 sundaes, the mean absolute deviation is of 2 sundaes.
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Find the cube root of Z =1+i the power of 5
Answer:
Cube Root Calculator
Use this calculator to find the cube root of positive or negative numbers. Given a number x, the cube root of x is a number a such that a3 = x. If x positive a will be positive, if x is negative a will be negative. Cube roots is a specialized form of our common radicals calculator.
It will help you alot.
Step-by-step explanation:
You are on the Arithmetic Reasoning section.
Q: If 12 men are needed to run 4 machines. How many men are needed to
run 20?
A. 24
B. 48
C. 60
D. 80
Answer:that will be c 60
Step-by-step explanation: Because 12/4 but than the machines turn to 20 so 4x5 equals 20 so you got to do it to both sides
12x5=60 so its 60 men to run 20 machines
Please help me l don’t understand
a. Let [tex]d[/tex] be the number of daytime calls Eshwa makes, and [tex]e[/tex] the number of evening calls. Then the cost [tex]C[/tex] (in pence) of making [tex]d+e[/tex] calls is
[tex]C = \boxed{50d + 40e}[/tex]
b. £1 = 100p, so the cost [tex]C'[/tex] (in £) is 1/100 of the cost found in part (a),
[tex]C' = \dfrac{50d + 40e}{100} = \boxed{\dfrac d2 + \dfrac{2e}5}[/tex]
c. If Eshwa makes 30 of each type of call in a month, then the total cost (in £) is
[tex]C' = \dfrac{30}2 + \dfrac{2\cdot30}5 = \boxed{27}[/tex]
c2. If Eshwa makes 20 daytime calls and 50 evening calls, then the total cost (in £) is
[tex]C' = \dfrac{20}2 + \dfrac{2\cdot50}5 = \boxed{30}[/tex]
d. Let [tex]e=40[/tex] and [tex]C'=42[/tex]. Solve for [tex]d[/tex].
[tex]42 = \dfrac d2 + \dfrac{2\cdot40}5[/tex]
[tex]42 = \dfrac d2 + 16[/tex]
[tex]\dfrac d2 = 26[/tex]
[tex]d = \boxed{52}[/tex]
List the domain and range in interval notation for the following graphs listed?
The domain and range of the given graphs are as follows,
(b) Domain: x ∈ (-∞, ∞), Range: y ∈ (-∞, ∞)
(c) Domain: x ∈ [-2, ∞), Range: y ∈ [1, ∞)
Determining the Domain and Range from a Graph
The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The various output values are represented on the y-axis as the range.
Thus, in graph (b),
Since the values of the given curve extends infinitely (denoted by arrowhead of the curve) on positive as well as negative sides for both the axes, x and y, its domain and range both are (-∞, ∞).
Similarly, in graph (c),
The minimum value on x-axis or abscissa is -2 and maximum is infinity. Hence, its domain is [-2, ∞). The minimum ordinate value or y-coordinate is 1 and maximum is infinity. Thus, its range is [1, ∞).
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Identify the equation in slope-intercept form for the line containing the points (−4,1) and (2,3).
y=1/3x+7/3
y=1/4x+2
y=1/2x−4
y=1/3x−5/3
The slope-intercept form for the line is y = 1/3 x -5/3. and the option D is correct option.
According to the statement
we have given that the points (−4,1) and (2,3) and we have to find the slope-intercept form.
And we have to find the equation of line.
So, For this purpose,
The given points are:
(−4,1) and (2,3)
And the slope m become
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
So, put the values in it
then m= 3-1 / 2+4
m = 1/3
And and b point becomes (2+3) / (−4+1)
Then B = -5/3
Then the general equation of slope intercept form is y = mx +b
Then
y = 1/3 x -5/3.
So, The option D is correct and the slope-intercept form for the line is y = 1/3 x -5/3.
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Pls find x!!!!!!!!!!!!!!!!!!!!!
Answer:
120°
Step-by-step explanation:
The angle just below 'x' is 40° (alternate angles/parallel lines)
40 + x + 20 = 180 ( straight line)
x = 120°
How many significant figures are in this number? 2.583 x 10^12
Answer:
2583000000000
Step-by-step explanation:
[tex]2.583*10^{12} = 2583000000000[/tex]
Name a line that does not appear to intersect plane L.
Answer:
BE
Step-by-step explanation:
A line and a plane will not intersect if they are parallel. A line is named by naming any two points on it, in any order.
LineThe line containing points B, E, F appears to be parallel to plane L. As such, it will remain at the same distance from plane L throughout its infinite length. The line can be named by 2 points in any of 6 different ways.
Line BE is parallel to plane L.
__
Additional comment
Other names for the same line include ...
BF, EF, EB, FB, FE.
A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calories during the t th hour. What is her net decrease in calories after walking for 5 hours?
The net decrease in calories after walking for 5 hours is 50 calorie.
According to the statement
we have given that the
A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.
And we have to find the net decrease in calories after walking for 5 hours.
So, For this purpose,
We know that the
calories burns in one hour = 200−20t
calories burns in 5 hours = 5(200−20t)
calories burns in 5 hours = 1000 - 100t
Now,
Calorie intake in t hours = 110t
And
net decrease in calories after walking for 5 hours = 100t - 1000 + 110t
put t is 5 then
net decrease in calories after walking for 5 hours = 210(5) - 1000
net decrease is 50 cal.
So, The net decrease in calories after walking for 5 hours is 50 calorie.
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