The required probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From the table,
Total green birds = 37
Total green parakeets = 20
Now,
The probability that a randomly selected bird is a parakeet given that it is green,
= 20 / 37 = 54.1%
Thus, the required probability that a randomly selected bird is a parakeet given that it is green is 54.1%.
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A basketball game is 40 minutes long. Carter plays 5 8 of a basketball game. To calculate how many minutes Carter played, find an equivalent fraction to 5 8 with a denominator of 40. Select the correct calculation. A. 5 × 8 8 × 8 = 40 64 ; 64 minutes B. 5 × 8 8 × 5 = 40 40 ; 40 minutes C. 5 × 5 8 × 5 = 25 40 ; 25 minutes D. 5 × 4 8 × 5 = 20 40 ; 20 minutes
What is the slope of the equation y=5/4x-7/4?
Answer:
Step-by-step explanation:
slope intercept form is
y=mx+b
where m is the slope and b is the y-intercept.
In your equation m = 5/4 so this is your answer.
explain question and what do i write in the boxes please and thank you. please be very literal
Step-by-step explanation:
I assume we're naming the graph
Seeing the situation:
We have $4 for bonus bucks
We have $50 for amount spent
On the bottom we have the 50, so we can put "Amount spent" in that box
On the left, we have 4, so we can put "Bonus bucks" in that box
At the top, the name is your choice, but we can combine the names in a way... "Bonus Bucks per amount spent"... I guess that works
Looking at the graph, it's correct, but it's in reverse. you want your first dot where the 50 and 4 intersect, then you go diagonally upwards
compare proof by contradiction and proof by contrapositive and provide an example of one or the other.
Contrapositive represents the implication of conditional statement to the logical statement if p then q to be false where as contradiction we prove that our supposition is false that implies the given condition is true.
Comparison in the proof of contrapositive and contradiction:
Contrapositive represents the hypothesis is true that implies conclusion is also true or the conclusion is false that implies hypothesis is also false.
Example of contrapositive: For any integer a , b a + b ≥ 17 , a≥9 , b≥ 9.
Using contrapositive :
If a < 9 , b < 9 then a + b < 17
a < 9, b < 9 consider a ≤8 , b≤8
a + b = 8 + 8
= 16
< 17
It proves a < 9 , b < 9 then a + b < 17 implies ,when a≥9 , b≥ 9 then
a + b ≥ 17 .
Contradiction : Here we suppose the statement which is against the required statement and prove it wrong which implies our given statement is true.
Example: For any integer a, a² is even then a is even .
Here we assume a is an odd integer then prove it wrong.
Therefore, comparing contrapositive and contradiction provides contrapositive is conditional to logical and contradiction required to our supposition is wrong.
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HELP PLEASE!! and explanation need asap
Answer:
Answer B
Step-by-step explanation:
See graph below
1,-1 and 1,1 are both on Andres' graph....which shows TWO y values for ONE x value....does not pass the 'vertical line test' <====it is not a function
PLSSSSSS HELP ME ASAP DUE NOW TODAY!! HELP
Answer:
B, D, and F
Step-by-step explanation:
The inequality is x< -3, which pretty much says, on the (x,y) function, any x that is less than -3 is valid.
B, D, F are correct because the x value is less than negative 3
C, and G are incorrect because the value of x is greater than negative 3
A, and E are incorrect because the value of x is the same as 3
The output voltage of an amplifier is calculated by multiplying the input voltage by the voltage gain of the amplifier. Calculate the output voltage, in millivolts (mV), for a circuit if the input voltage is 45 mV and the gain is 30.
The output voltage of an amplifier is 1350mV.
What is an output voltage?The voltage that a machine, like a voltage regulator or a generator, releases into the air is known as the output voltage. Voltage regulators keep voltage levels steady.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the output voltage of an amplifier is calculated by multiplying the input voltage by the voltage gain of the amplifier.
The output voltage will be calculated as:-
Output voltage = 45 x 30
Output voltage = 1350 mV
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The points (12,10) and (24,20) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer:
The slope of the line through the points (12, 10) and (24, 20) is 0.5
Step-by-step explanation:
To graph the line, use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope and b is the y-intercept. For this particular line, the equation would be y = 0.5x + b. To find the y-intercept, use one of the given points, (12, 10) in this case, to solve for b. So, 10 = 0.5(12) + b, thus b = 0. So, the equation of the line is y = 0.5x + 0. If graphed, the line should go through the points (12, 10) and (24, 20).
About what percent of a day (24 hours) is an 8-hour workday?
A teacher put all her students quiz scores up on the dot plot below.
Solve the inequality
Answer:
[tex]n \leqslant 312[/tex]
Step-by-step explanation:
[tex]45 + 7 \geqslant \frac{1}{6}n - 7 + 7 [/tex]
[tex]52 \times 6\geqslant \frac{1}{6} n \times 6[/tex]
[tex]312 \geqslant n[/tex]
You can multiply by 6 without changing the sign as 6 > 0
Determine by inspection (that is, with only minimal calculations) if the given vectors form a linearly dependent or linearly independent set. Justify your answer u = [3]
[-1]
v=[6]
[-4]
w=[1]
[7]
a. Linearly dependent. Notice that u V 3w b. Linearly independent. If {u1, u2, . . ., um} is a set of vectors in Rn and n < m, then the set is linearly independent. c. Linearly dependent. Notice that v - 2u, so 2u- d. Linearly independent. The vectors are not scalar multiples of each other. e. Linearly dependent. If (ui, u2, ..., um) is a set of vectors in R" and n< m, then the set is linearly dependent.
a. Linearly dependent. Notice that u = 3w, so w can be written as a scalar multiple of u, meaning the set is linearly dependent.
b. Linearly independent. The vectors are not scalar multiples of each other, meaning they are linearly independent.
c. Linearly dependent. Notice that v = -2u, so v can be written as a scalar multiple of u, meaning the set is linearly dependent.
d. Linearly independent. The vectors are not scalar multiples of each other, meaning they are linearly independent.
e. Linearly dependent. If (ui, u2, ..., um) is a set of vectors in R" and n < m, then the set is linearly dependent. This means that the set of vectors {u, v, w} is linearly dependent as n = 2 and m = 3.
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Cindy is making fruit salads and fruit smoothies. The salad recipe requires 1/3 cup of strawberries and the smoothie recipe calls for 3/4 cup of strawberries. Her friend Borling is helping make the food.How many cups of strawberries would be required for both girls and two of their friends?
The fruit salad recipe requires 1/3 cup of strawberries and the smoothie recipe requires 3/4 cup of strawberries. So in total, 1/3 + 3/4 = 5/12 cup of strawberries are required for both recipes.
Now we know that Cindy and Borling are both making the recipes. So we need to multiply the 5/12 cup of strawberries by 2 to find out how many cups of strawberries are needed for both of them.
5/12 cup * 2 = 10/12 cup or 5/6 cup of strawberries.
Now if two more friends are joining them, we need to multiply the 5/6 cup of strawberries by 4 to find the total number of cups of strawberries required for all 4 of them.
5/6 cup * 4 = 2 and 1/6 cups.
So in total, 2 and 1/6 cups of strawberries would be required for both girls and two of their friends.
Answer:
Find x.
1/3+3/4=x
4/12+9/12=x
13/12=x
1 1/12 cups of strawberries for one person.
3*1 1/12=3 1/4
3 1/4 cups of strawberries in total for both girls and two of their friends.Step-by-step explanation:
Answer to this equation |z+3|=|z-2|
Answer:
The equation |z + 3| = |z - 2| can be solved by first considering two cases:
z + 3 = z - 2
Adding 3 to both sides and subtracting z from both sides gives:
6 = -2
This is a contradiction, so this case has no solution.
z + 3 = - (z - 2)
Adding 3 to both sides and subtracting z from both sides gives:
1 = -2z
z = -1/2
So the only solution to the equation |z + 3| = |z - 2| is z = -1/2.
Determine whether the variable given is qualitative-nominal, qualitative-ordinal, quantitative-discrete, or quantitative-continuous.
allergen level (low/medium/high)
qualitative-ordinal since this variable would yield categories with an order
qualitative-nominal since this variable would yield categories with no implied order
quantitative-discrete since this variable would yield numbers that count
quantitative-continuous since this variable would yield numbers that measure
Based on the information, it can be inferred that the correct answer is option A. Qualitative-ordinal since this variable would yield categories with an order.
What is an ordinal qualitative variable?An ordinal qualitative variable is a term that refers to a type of variable that is characterized by representing non-numerical modalities, in which there is an order.
According to the above, the level of allergens (low, medium, high) is a non-numeric variable that has an order because each one represents a specific value that is organized in a certain order.
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Write the following inequality in interval notation and graph the interval x<2
The required interval notation of the given inequality is (-∞, 2). A graph of the given inequality has been shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality x < 2
Since the above inequality shows that the value of x is all real numbers less than 2. A Set of all real numbers less than 2 is given as (-∞, 2)
Thus, the required interval notation of the given inequality is (-∞, 2). A graph of the given inequality has been shown.
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Find the X and Y Intercepts for y=-1/4x+1
i am 20 years older than twice my daughter's age, and i am 34 years old. How old is my daughter?
Your daughter is 7 years old.
Step-by-step explanation:1. Express the ages as variables.
Let "x" be your age.
According to the statement, your age is 34. Thus, x= 34.
Let "y" be the age of your daughter.
According to the statement, your daughter's age is given by the following equation:
[tex]2y+20=x\\ \\2y+20=34[/tex]
2. Solve the equation for "y". Start by subtracting "20" on both sides of the equation.[tex]2y+20-20=34-20\\ \\2y=14[/tex]
3. Divide by "7" on both sides of the equation.[tex]\frac{2y}{2} =\frac{14}{2} \\ \\y=7[/tex]
4. Verify the answer.Let's see if number 7 makes the original condition be true.
So, you are 20 years older than twice your daughter's age. Let's multiply your daughter○s age by 2 and add 20, it should return your age (34).
[tex]2(7)+20=\\ \\14+20=\\ \\34[/tex]
That's correct, it means that 7 is the correct answer.
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PLEASE HELP ANSWER!
There are 108 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and treesIf the number of weeds is 7 less than thrice the number of grasses, and the number of trees is 3 more than thrice the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources.
Answer: 16 grasses, 41 weeds, and 51 trees
Step-by-step explanation:
You can use a variable for the different pollen sources. Use g for grass, w for weeds, and t for trees. w=3g-7. t=3g+3. g+w+t=108. In that last equation, you can substitute other values for w and t. g+(3g-7)+(3g+3)=108. combine like terms to get, 7g-4=108. This equation simplifies to g=16. Substitute 16 for g in the first 2 equations, and find that w=41, and t=51.
(Sorry if my explanation didn't make sense)
find f(g(3)) if f(x)=4x and g(x)=2x+5
The value of f(g(3)) is 19
What is mathematical function? A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, while the set Y is known as the function's codomain. Initially, functions were just an idealized representation of the relationship between two changing quantities. f(x) = x2 is an illustration of a basic function. The function f(x) in this function first squares the value of "x". As an illustration, f(3) = 9 if x = 3. There are other other functions that can be used, such as f(x) = sin x, f(x) = x2 + 3, f(x) = 1/x, f(x) = 2x + 3, etc.f(x)=2x-5
g(x)=4x,
f(g(3))= ?
Solution:
g(3) = 4*3 = 12
f(g(3)) = f(12) = 2*12 - 5 = 24 - 5= 19
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The value of f(g(3)) is 29.
What is mathematical function?A function from a set X to a set Y assigns one element of Y to each element of X. The set X is referred to as the function's domain, and the set Y is referred to as the function's codomain. A mathematical function is a rule that gives the value of a dependent variable that corresponds to the values of one or more independent variables. A function can be represented in various ways, such as a table, a formula, or a graph.A function is a set of code that performs a specific task and can be called whenever needed.To learn more about mathematical function refer to:
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What is negative 2.48 rounded to the nearest hundredth
Answer:
it's already rounded to the nearest hundredth
Step-by-step explanation:
because there is no numbers after the hundredth.
the sum of the perimeter of an equilateral triangle and a square is 10 find the dimensions of the triangle and the square that produce a minimum total area
The dimensions of the square is [tex]\frac{30}{9+4 \sqrt{3}}[/tex] and equilateral triangle is [tex]& \frac{10 \sqrt{3}}{9+4 \sqrt{3}}[/tex] that produce a minimum total area.
The sum of the perimeter of an equilateral triangle and a square is 10
Differentiation is a derivative of the value of an independent variable that can be used to measure features of an independent variable per unit change.
The objective is to find the dimensions of the equilateral triangle and square that produce a minimum total area.
Consider,
⇒4a+3b=10
⇒4a=10-3b
⇒a=[tex]\frac{10-3b}{4}[/tex]
The total area of the circle and square is,
[tex]A=a^2+\frac{\sqrt{3}}{4} b^2[/tex]
Substitute the value of a in the formula,
[tex]$$\begin{aligned}A & =\left(\frac{10-3 b}{4}\right)^2+\frac{\sqrt{3}}{4} b^2 \\& =\frac{100-60 b+9 b^2}{16}+\frac{\sqrt{3}}{4} b^2 \\& =\frac{100-60 b+9 b^2+4 \sqrt{3} b^2}{16} \\& =\frac{100-60 b+(9+4 \sqrt{3}) b^2}{16}\end{aligned}$$[/tex]
Differentiate the total area and equate with 0 ,
[tex]$$\begin{aligned}\frac{d A}{d r} & =\frac{0-60+2(9+4 \sqrt{3}) b}{16} \\0 & =\frac{0-60+2(9+4 \sqrt{3}) b}{16} \\\end{aligned}$$[/tex]
[tex]0-60+2(9+4 \sqrt{3}) b & =0 \\2(9+4 \sqrt{3}) b & =60[/tex]
And,
b[tex]=\frac{30}{9+4 \sqrt{3}}[/tex]
Substitute the value of b in the value of a,
[tex]$$\begin{aligned}a & =\frac{10-3\left(\frac{30}{9+4 \sqrt{3}}\right)}{4} \\& =\frac{90+40 \sqrt{3}-90}{4(9+4 \sqrt{3})} \\& =\frac{40 \sqrt{3}}{4(9+4 \sqrt{3})} \\& =\frac{10 \sqrt{3}}{9+4 \sqrt{3}}\end{aligned}$$[/tex]
a[tex]& =\frac{10 \sqrt{3}}{9+4 \sqrt{3}}[/tex]
Therefore, the dimensions of the square is [tex]\frac{30}{9+4 \sqrt{3}}[/tex] and equilateral triangle is [tex]& \frac{10 \sqrt{3}}{9+4 \sqrt{3}}[/tex] that produce a minimum total area.
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Please help me with this question.
Mosaic Tile Company produces two kinds of tiles, that:
There is no left over hour on baking resources. The additional hour of molding will add $380 to the total profit.If Mosaic Tile plans to only focus on producing the smaller tiles, the smaller tiles minimum profit should be $255.43Mosaic should not have to accept the supplier offer since the production bottleneck is not on the available weekly materials, but on the molding and baking process.We will solve this problem using the linear programming concept.
From the given case, we know that:
x --> larger tiles
y --> smaller tiles
molding: 0.45x + 0.30y ≤ 75
baking: 0.40x +0.60y ≤ 105
glazing: 0.15x + 0.25y ≤ 60
materials: 30x + 20y ≤ 6,000
Profit: 190x + 240y
We need to find each functions respective constraints and construct a graph containing all of these function constraints.
0.45x + 0.30y = 75
(x = 0)
0.45(0) + 0.30y = 75
y = 250
(y = 0)
0.45x + 0.30(0) = 75
x = 166
0.4x + 0.6y = 105
(x = 0)
0.4(0) + 0.6y = 105
y = 175
(y = 0)
0.4x + 0.6(0) = 105
x = 262
0.15x + 0.25y = 60
(x = 0)
0.15(0) + 0.25y = 60
y = 240
(y = 0)
0.15x + 0.25(0) = 60
x = 400
30x + 20y = 6000
(x = 0)
30(0) + 20y = 6000
y = 300
(y = 0)
30x + 20(0) = 6000
x = 200
We can construct the graph of these constraints such as the attached graph below. From the graph we know that the contraints of molding and baking are intersecting with each other under all of the given constraints. We need to find the intersection point:
0.4x + 0.6y = 105 | x 1| 0.4x + 0.6y = 105
0.45x + 0.3y = 75 | x 2| 0.9x + 0.6y = 150
-0.5x = -45
x = 90
0.45(90) + 0.3y = 75
40.5 + 0.3y = 75
0.3y = 34.5
y = 115
The intersection point is (90,115)
We have 3 possible scenario points, their position and each possible profit are:
(0, 175) --> P = 190(0) +240(175) = $42,000
(90, 115) --> P = 190(90) + 240(115) = $44,700
(166,0) --> P = 190(166) + 240(0) = $31,540
The optimum scenario is producing 90 larger tiles and 115 smaller tiles.
By producing the optimum scenario tiles, the baking resources will have:
Baking: 0.40x + 0.6y ... 105
0.40(90) + 0.6(115) = 105 --> no left over resources
If Mosaic add another hour for Molding, there will be some additional profit, which is can be calculated by trying to create a new equation:
0.45x + 0.30y =< 75+1
0.45x + 0.30y =< 76
0.45x + 0.30y = 76
(y = 0)
0.45x + 0.30(0) = 76
x = 168
We can compare with the initial condition of available molding resources of 75 by producing 166 larger tiles:
Additional profit = (168 x 190) - (166 x 190)
Additional profit = $31,920 - $31,540
Additional profit = $380
Mosaic Tile should not accept the supplier offer because the most critical bottleneck at the time is the molding and baking capacities. Both lines are below the other resources lines and acting as the direct constraint on deciding the optimum possible output. If Mosaic wants to increase its profit, it should look for a solution to increase either or both molding and baking capacities.
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Maths
Can someone please help
Answer:
i don't know
Step-by-step explanation:
Josie made $73 from a garage sale on Sunday. This is $37 less than Saturday’s sales. Write an equation that could be used to find Saturday’s sales, s.
Answer:
s - 37 = 73
Step-by-step explanation:
We already have the end result which is 73.
We also know that the sale on Sunday is $37 less than Saturday's sales. This means we'll need to take away the 37 from s (Saturday).
I have attached two general ledgers in excel format for 2021 & 2022. There is a debit balance (liability) for account 1970-000 which should not be the case. Please analyze the information in both general ledgers and find the issue. Let me know why we have this debit balance at the end of 2022. Pivot tables & v-lookups might make this easier. This is very time sensitive so a prompt response will be appreciated.
Answer:aw dawd
Step-by-step explanation:awd awdkakwd
Please help me with this question.
The results of composition between two functions are listed below:
A: f(g(x)) = 3 · x - 5, Domain: All real numbers.
g(f(x)) = 3 · x - 5 / 2, Domain: All real numbers.
f(f(x)) = 36 · x - 35, Domain: All real numbers.
B: f(g(x)) = x - 3, Domain: All real numbers.
g(f(x)) = √(x² - 3), Domain: x ≤ - √3 and x ≥ √3.
f(f(x)) = x⁴, Domain: All real numbers.
And the components of the composition are listed below:
A: f(x) = x⁵, g(x) = x - 9
B: f(x) = √x, g(x) = 5 - x
How to use composition between two functions
In this problem we shall use a special operations between two functions known as composition, consisting in substituting the indepedent variable of the first function (f (x)) for the entire second function (g (x)):
f ° g (x) = f[g(x)]
Part 3 - Now we proceed to determine a composition between two functions and its domain, that is, the set of x-values such that function exists:
Case A: f(x) = 6 · x - 5, g(x) = x / 2
f(g(x)) = 6 · (x / 2) - 5
f(g(x)) = 3 · x - 5
Domain: All real numbers.
g(f(x)) = (6 · x - 5) / 2
g(f(x)) = 3 · x - 5 / 2
Domain: All real numbers.
f(f(x)) = 6 · (6 · x - 5) - 5
f(f(x)) = 36 · x - 35
Domain: All real numbers.
Case B: f(x) = x², g(x) = √(x - 3)
f(g(x)) = x - 3
Domain: All real numbers.
g(f(x)) = √(x² - 3)
Domain: x ≤ - √3 and x ≥ √3.
f(f(x)) = (x²)²
f(f(x)) = x⁴
Domain: All real numbers.
Part 4 - Now we proceed to separate each function as parts of a composition:
Case A: h(x) = (x - 9)⁵
f(x) = x⁵, g(x) = x - 9
Case B: H(x) = √(5 - x)
f(x) = √x, g(x) = 5 - x
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at a cinema, films are shown on screen 1 and screen 2 customers pay full price or child price there are three times as many customers in screen 2 as in scree 2 73 customers paid child price complete the frequency tree
348 are the total number of customers visited the theatre.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that at a cinema, films are shown on screen 1 and screen 2
screen 2 customers pay full price or child price
There are three times as many customers in screen 1.
68 customers paid child price in screen 1
In screen 1 the number of customers are 87
In screen 2 the number of customers are three times the screen 1.
87×3=261 in screen 2.
72 are full in screen 1.
53 are in child of screen 2
208 in screen 2 full screen
261+87=348
Hence, 348 are the total number of customers visited the theatre.
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What equation does this set of algebra tiles represent?
x
1
1
1
1
1
1
1
1
=
1
1
1
1
1
1
1
1
1
1
1
1
Combine like terms on each side of the equation. For example, write 3 instead of 1 + 1 + 1.
The equation of the set of algebra tiles is x + 8 = 12.
What are algebra tiles?Algebra tiles are mathematical manipulatives that help students comprehend the principles of algebra and strategies to think algebraically. For introductory algebra pupils at the level of elementary school, middle school, high school, and college, these tiles have been demonstrated to offer solid examples.
Given set,
x 1 1 1 1 1 1 1 1 = 1 1 1 1 1 1 1 1 1 1 1 1
the set has one positive x and eight positive units,
the equation is x + 8.
and on the right side of the equation, there are 12 positive units,
equation is x + 8 = 12
Hence the equation s x + 8 = 12.
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Answer:
x + 8 = 12.
Step-by-step explanation:
in case you need it (x=4)
Angles A and B are supplementary angles. The measure of angle A is 38°. Find the measure of ∠B.
Two angles are considered to be supplementary angles if their sum of measurements is 180 degrees and the required angle B in the given situation is 142°.
What are supplementary angles?When two angles' measures sum up to 180 degrees, they are said to be supplementary.
Subtract the specified angle from 180 degrees to determine the angle that is supplementary to another angle.
If one angle is 60 degrees, for instance, the next angle will be 180 - 60 = 120 degrees.
The pair of angles known as supplementary angles always add up to 180 degrees.
These two perspectives are known as each other's supplements.
So, we have angle A which is 38°.
Now, calculate angle B as follows:
A + B = 180
38 + B = 180
B = 180 - 38
B = 142°
Therefore, two angles are considered to be supplementary angles if their sum of measurements is 180 degrees and the required angle B in the given situation is 142°.
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