Answer:
7/16
Step-by-step explanation:
(2+5)/(2+3+5+6) = 7/16
The probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.
What is probability?The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.
According to the given question.
Numnber of yellow balls = 2
Number of green balls = 3
Number of red balls = 5
Number of black balls = 6
So,
The total number of balls in a bag = 2+ 3+ 5 + 6 = 16
And,
The sum of yellow and red ball = 2 + 5 = 7
Therefore,
The probability of either a yellow or a red ball being drawn if only one ball is drawn
= [tex]\frac{total\ number\ of \ red \ and \ yellow\ balls }{Total\ number\ of \ balls}[/tex]
[tex]= \frac{7}{16}[/tex]
Hence, the probability of either a yellow or a red ball being drawn if only one is drawn is 7/16.
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Determine if each equation has one solution, no solution, or infinite solutions.
1. -4g + 8 = 20
2. -3b = 2b - 5b
3. -3f = 2 - 3f
4. 2n - 12 = -12 + 2n
5. 7c - 4 = 3 + 7c
6. 3 - 5y = 2y + 24
7. 22 + w = 2(4w - 3)
8. 6h - 8 + 4h = 12 + 10h
9. 12j = 4(3j - 8)
10. 5(u-9) = -2u - 45 + 7u
11. 2 (4a - 7) - 3a = 19 - 6a
12. 3 - 11d = -6d + 3 - 5d
Answer:
Step-by-step explanation:
1. One solution. Solving for g gives g=2.
2. No solution. The equation is equivalent to -3b = -3b, which is always false.
3. One solution. Solving for f gives f=2/5.
4. Infinite solutions. The equation is equivalent to 2n-12 = 2n-12, which is always true for any value of n.
5. Infinite solutions. The equation is equivalent to 7c-4 = 7c+3, which is always true for any value of c.
6. One solution. Solving for y gives y = -3/7.
7. One solution. Solving for w gives w = -22
8. One solution. Solving for h gives h = 2
9. One solution. Solving for j gives j = -2
10. One solution. Solving for u gives u = -5
11. One solution. Solving for a gives a = -1/2
12. No solution. The equation is equivalent to 3-11d = -11d+3, which is always false.
Exit Slip: (5) The 6th grade class is competing in Field Day. There
are 32 girls and 40 boys. If each team must have the same
number of girls and boys, what's the greatest number of teams
that can be formed?
We shall see that a maximum of 8 teams can be created, with 3 boys and 4 girls on each team.
what is common factors ?The largest factor that will divide into two or more numbers is known as the highest common factor (HCF). The smallest multiple shared by two or more numbers is known as the lowest common multiple (LCM). A number that divides two or more numbers precisely is referred to as a common factor. For instance, because they are both even, 10 and 20 share a common factor of 2. The largest number that precisely divides two or more numbers is known as the greatest common factor (GCF).
given
32 girls and 24 boys
Additionally, we must divide them into groups in order to determine the number of groups that can be formed. To do this, we must determine the highest common factor between 24 and 32.
To obtain that, we can express both of these as a prime number product as follows:
24 = 2*2*2*3
32 = 2*2*2*2*2
The highest common factor between 24 and 32 is 2*2*2 = 8 since in all of these we have three times the factor 2.
Each squad will have the following number of boys 24/8 = 3
Each team will have four girls, or 32/8, total.
We shall see that a maximum of 8 teams can be created, with 3 boys and 4 girls on each team.
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A landlord plans to take out a $12,000 loan to cover the cost of a new roof for a rental home. If the loan has a 5% annual interest rate compounded continuously and the landowner plans to pay off the loan in 21 months, what is the total amount owed? $34,291.81 $24,600.00 $13,328.53 $13,097.31
Using compound interest formula, the final payment for a principal of $12000 compounded continuously at rate of 5% is $13,097.31
What is Compound InterestCompound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods of a deposit or loan. It is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula of compound interest is given as;
A = P(1 + r/n)^nt
A = compound interestP = principalr = rate n = number times t = timeSubstituting the values into the formula
A = Pe^rt
This formula is only for continuously compounded
A = 12000e^(0.05 * 1.75)
A = $13,097.31
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A baker has three banana muffin recipes. Recipe A uses 3 bananas to make 12 muffins. Recipe B uses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.
Rutendo tried to order the recipes from least to greatest by bananas per muffin, but he made a mistake. Here's his work:
\begin{aligned} \dfrac{12}{3}&=4\\\\ \dfrac{24}{5}&=4.8\\\\ \dfrac{48}{11}&\approx 4.36\\\\ \stackrel{\text{Least}}{\underbrace{4}_\text{Recipe A}} &< \underbrace{4.36}_\text{Recipe C} < \stackrel{\text{Greatest}}{\underbrace{4.8}_\text{Recipe B}} \end{aligned}
3
12
5
24
11
48
Recipe A
4
Least
=4
=4.8
≈4.36
<
Recipe C
4.36
<
Recipe B
4.8
Greatest
What was Rutendo's mistake?
Choose 1 answer:
Answer: Rutendo's mistake was ordering the recipes from least to greatest by bananas per muffin by comparing the number of bananas in each recipe rather than the number of bananas per muffin. ✅
Step-by-step explanation:
By dividing the number of bananas used in each recipe by the number of muffins, he would have been able to determine which recipe uses the least amount of bananas per muffin.
Recipe A: 3/12 = 0.25 bananas per muffin
Recipe B: 5/24 = 0.208 bananas per muffin
Recipe C: 11/48 = 0.229 bananas per muffin
So Recipe A uses the least amount of bananas per muffin, Recipe C uses the next least amount of bananas per muffin, and Recipe B uses the most amount of bananas per muffin.
Answer: The answer is C
Step-by-step explanation:
Because it is
Given m∠ABC=37°m∠ABC=37°and m∠CBD=165°m∠CBD=165°. According to the Angle Addition Postulate, what is the measure of ∠ABD∠ABD, that contains −−→BCBC→?
According to the Angle Addition Postulate, the measure of m∠ABD = 202°.
What is an angle addition postulate?According to the Angle Addition Postulate, an angle's measure is equal to the sum of the measures of any two adjacent angles. The Angle Addition Postulate can be used to determine the measurement of a missing angle or to determine the angle produced by two or more other angles.
Given:
The angle measures:
m∠ABC=37°,
and m∠CBD= 165°.
So, according to the angle addition postulate;
m∠ABD = m∠ABC + m∠CBD
Substituting the values,
m∠ABD = 37° + 165°
m∠ABD = 202°
Therefore, the angle measure of m∠ABD = 202°.
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A transformation which results in the pre-image and image having the same shape but not necessarily the same size.
center of dilation
Similarity Transformation
scale factor
dilation
30 points
On solving the provided question, we can say that A dilation is a transformation that yields a different-sized picture with the same general shape as the original.
what is dilation?A dilation in mathematics is a function f from a metric space M to itself that, for any point x, y in M, fulfills the identity d = rd. where r is a positive real integer and d is the separation between x and y. Such extensions are identical in space according to Euclid. Dilation is a transform that modifies an object's size. The process of dilation is used to enlarge or reduce items. The result of this transformation is an image that is a perfect replica of the original shape. However, there is a variation in the shape's size. The initial form ought to be distorted by dilation.
A dilation is a transformation that yields a different-sized picture with the same general shape as the original. The scale factor (also known as the dilation constant) and the dilation center are included in the description of a dilation. A fixed point in the plane around which all points are enlarged or contracted is the center of a dilation.
for example
triangle ABC ≈ triangle A'B'C'
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What is the value of 2+b(a^2+4) when a = 2 and b = 4
[tex]2+b(a^2+4)[/tex] when a is 2 and b is 4
Substitute for variables with given values:
[tex]2+(4)((2)^2+4)[/tex]
[tex]=\fbox{34}[/tex]
2. If we want to find the volume of the child's toy shown below, what will the units be on our answer?
A cm^3
B cm
C cm^4
If we want to find the volume of the given toy, then the units of our answer will be (A) cm³.
What is volume?Volume is the amount of space a thing takes up, whereas capacity is the amount of solid, liquid, or gas that it can hold.
Volume is measured in cubic units, although capacity can be expressed in almost any other unit, such as liters, gallons, pounds, etc.
The capacity of an object is measured by its volume.
For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.
The quantity of space occupied by a three-dimensional object can also be used to describe volume.
So, in the description, it is stated that the value is measured in cubic units.
Therefore, if we want to find the volume of the given toy, then the units of our answer will be (A) cm³.
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The tallest tree in the world is in redwood California as of April 2019 if you’re standing on the trail 220 feet from the bottom of the tree you have to look up it is 60° angle to see the top how tall is the tree
Step-by-step explanation:
AB is the height of tree
angle is 60 degree
bc is the bottom of tree
3x + 5 =− 7 solve for x
Answer:
x = -4
Step-by-step explanation:
3x + 5= -7
bring the 5 to the other side
3x = -12
divide both sides by 3
x = -4
Answer:
[tex] \sf \: x = - 4[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 3x + 5 = -7
Then the value of x will be,
→ 3x + 5 = -7
→ 3x = -7 - 5
→ 3x = -(7 + 5)
→ 3x = -12
→ x = -12 ÷ 3
→ [ x = -4 ]
Hence, the value of x is -4.
Given below are descriptions of two lines. Line 1: Goes through ( − 4 , 17 ) ( - 4 , 17 ) and ( 9 , − 9 ) ( 9 , - 9 ) Line 2: Goes through ( 1 , 1 ) ( 1 , 1 ) and ( − 5 , 19 ) ( - 5 , 19 ) The slope of Line 1 is m = m = The slope of Line 2 is m = m = Finally, which of the following is true? Line 1 is parallel to Line 2. Line 1 is perpendicular to Line 2 Line 1 is neither parallel nor perpendicular to Line 2
Based on the descriptions of two lines, a statement which is true include the following: C. Line 1 is neither parallel nor perpendicular to Line 2.
How to calculate the slope of a line?In Mathematics, the slope of a straight line can be calculated by using this this mathematical expression;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
From the information provided above, we have the following data points on the line:
Points on x-axis of line 1 = (-4, 9).Points on y-axis of line 1 = (17, -9).Substituting the given points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-9 - 17)/(9 - (-4))
Slope, m = -26/(9 + 4)
Slope, m = -26/13
Slope, m = -2
For the slope of line 2, we have:
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (19 - 1)/(-5 - 1)
Slope, m = -18/6
Slope, m = -3
In conclusion, we can logically deduce that both lines are neither parallel nor perpendicular because their slope differs.
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(25 points) find x and y of the heptagon more info in the picture above
Answer:
x = 128.57°
y = 51.43°
Step-by-step explanation:
x = (n - 2) × 180°/n = (7 - 2) × 180°/7 = 900/7° = 128.57°
x + y = 180
y = 180° - 128.57°
y = 51.43°
I need help asap super confused and due in 20 minutes
Step-by-step explanation:
what is so confusing ? let me know, where you need more explanation.
the angle PTS = 96°
that is the angle between the outer left and the outer right line, so the total angle of everything in the graphic.
now we see 2 sub-angles in there :
PTQ = 28°
RTS = 49°
and we are looking for a third sub-angle QTR.
well, we know, all 3 angles together are the same as the one big angle defined at the beginning.
PTS = PTQ + RTS + QTR
96 = 28 + 49 + QTR
96 - 28 - 49 = QTR
QTR = 19°
Adding several variables to a regression analysis can help do which of the following?
A. Increase the statistical significance of the results
B. Control for several variables at once
C. Increase the construct validity of a study
D. Test for temporal precedence
Regression analysis is mostly used when you want to predict a continuous dependent variable from a several number of independent variables. If the dependent variable is dichotomous, then logistic regression can be used.
If the break between the two levels of the dependent variable is nearly to 50-50%, then we can use both logistic and linear regression will end up giving you similar results.
If you have inserted the data (rather than using an established dataset), it is a nice idea to check the accuracy and the consistence of the data entry.
If you do not want to re-check all the data point, you should at least check the minimum and maximum value for all the variable to ensure that all values for each variable are "valid" or not.
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Mason had 30 minutes to do a three-problem quiz. He spent 9 1/4 minutes on question A and 3 4/5 minutes on question B. How much time did he have left for question C?
Answer:
16 57/60 mins
Step-by-step explanation:
9 1/4 = 555 secs
3 4/5 = 228 secs
30.mins = 1800 secs
time for C = 1800 - 555 - 228
= 1017 sec
16 57/60 mins
The function g is defined by g)2+bx, where b is a constant. If the line tangent to the graph of g at x 1 is parallel to the line that contains the points (0, -2) and (3, 4), what is the value of b ? (A) -1
(B) 2
(C) 5/2
(D) 4
Answer:
The cost per hour for renting the boat is $18 per hour.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the total cost for renting the boat for x hours.
Given the equation:
y = 18x
Therefore the cost per hour for renting the boat is $18 per hour.
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Drag each symbol to the correct location on the equation. Not all symbols will be used.
A group of third-grade and fourth-grade students are taking a field trip. The group will fill a total of 4va
Each van seats 8students.
• There are 27third-grade students in the group.
• The rest of the students in the group are fourth-graders.
Complete the equation to show how to find f, the number fourth-grade students in the group.
X
4
+
8
27 = f
Answer:
The equation to find the number of fourth-grade students in the group (f) is:
(number of vans) x (number of students per van) + (number of third-grade students) = (number of fourth-grade students)
So, the equation would be:
4v x 8s + 27s = f
Where "v" stands for vans, "s" stands for students, and "f" stands for fourth-grade students.
To find the number of fourth-grade students, you would need to substitute in the given information:
4 x 8 + 27 = f
32 + 27 = f
So, there are 59 fourth-grade students in the group.
Step-by-step explanation:
Choose the better buy.
5 qt.: $2.25
5 liters: $2.35
There are 1.057 quarts in a liter, and there are 0.946 liters in a quart.
How to calculate the value?5 Quarts =4.7317647 Liters
5 Liters =5.2834410 Quarts
The cost is In liter calculate
5 qt.: $2.25=4.7317647 liter
5 liters: $2.35=1000×5=5000
=5000-4.731
= 4,995.269 litter difference from 5 liter
5000 liter in liter $2.35 so each value 2,127.65957447
4.731 liter in of quarts $2.25 each value 2,102.66666667
1 qt = 2pt For every quart there are 5 qts = 10 pts two pints. So, multiply 5 x 2 = 10 pints. Example: If a pot has a capacity of 16 cups, how many quarts can it hold? 1 qt = 4c For every quart, there are 4 cups. The quart (symbol: qt) is an English unit of volume equal to a quarter gallon. Three kinds of quarts are currently used: the liquid quart and dry quart of the US customary system and the imperial quart of the British imperial system. All are roughly equal to one liter.
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What is the value of x
Answer:
x = 60
Step-by-step explanation:
x and 60 are alternate interior angles and since the lines are parallel, x = 60.
x = 60
Answer:
60°
Step-by-step explanation:
We know that, if two line are parallel, alternate angles are equal.
B D // X Y
Therefore,
x = 60°
a museum has three rooms, each with a motion sensor (m0,m1, and m2) that outputs 1 when motion is detected. at night, the only person in the museum is one security guard who walks from room to room. create a circuit that sounds an alarm (by setting an output a to 1) if motion is ever detected in more than one room at a time, meaning there must be at least one intruder. start with a truth table.
(a) Truth Table is attached.
(b) In canonical SOP form, A = ∑ m(3,5,6,7)
(c) Minimal form: A = m1m2 + m0m1 + m0m2
(b) Canonical SOP form: The canonical sum-of-products (sop) form of LPP in matrix notation is as follows: Boost Z = CX (objective function) AX b (restrictions) and X 0 (limitations) apply (non-negativity restrictions).
it will be A = ∑ m(3,5,6,7)
(c) Minimal form: The k-map can be defined as a map that provides a pictorial method of grouping together expressions with common factors and therefore eliminating unwanted variables. The Karnaugh map can also be described as a special arrangement of a truth table.
it will be A = m1m2 + m0m1 + m0m2
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The complete question is:
a museum has three rooms, each with a motion sensor (m0,m1, and m2) that outputs 1 when motion is detected. at night, the only person in the museum is one security guard who walks from room to room. create a circuit that sounds an alarm (by setting an output a to 1) if motion is ever detected in more than one room at a time, meaning there must be at least one intruder.
(a) Specify the truth table
(b) formulate canonical sum of products implementation for A
(c) Minimize A using K-maps and write the minimum implementation of A
Explain why multiplying by 8/3 gives the same result as first multiplying by 8 and then multiplying by 1/3
Because by multiplying by 8/3, you're multiplying by 1/3, 8 times. (8*1/3=8/3)
Graph this on a line please
The last boxplot is the one that displays the values range of the distribution that is given.
What is the range?The range of a function in mathematics can refer to one of two ideas that are connected in some way: Codomain for the function an illustration of the action If there is precisely one y in Y and there are two sets X and Y, then a binary relation f between X and Y is a function that connects x and y.
Here ,Given information:
6,7,9,9,20,22,26,28,29,30
N = 10 observations were made.
The base number is 6. ( least value)
Quartile lower= n+1(0.25)
term = 0.25(13) = 3.25term = 13
Median equals 0.5 (n + 1)
term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22
Upper quartile: 0.75 (13)
A term equals 9.75 a term equals 26.5
Interquartile Range (IQR) is equal to= Q3 - Q1= (26.5 - 13) = 13.5
The highest value is 30. (highest value in the distribution)
As a result, the Last boxplot is the one that shows the distribution that is given.
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One red circle of an weighs 12 grams.write an inquality to represent the weight of one blue square
Inequality to represent the weight of one blue square:
s < 12
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Given,
One red circle of an weighs 12 grams
By the figure,
Weight of blue square is less than red circle
Let weight of blue square be s.
Then,
s < 12
Hence, s < 12 is the inequality to represent weight of blue square.
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1. How much money would the restaurant take in by selling 100 burritos? (2 points)
Answer:
Multiply price of each burrito by 100
Step-by-step explanation:
19. Gemma has three less than two-thirds the number of fish that Polly owns, Gemma has 15 fish. How many
does Polly own? Show all work necessary to justify your answer.
Answer:
Polly has 27 fish
Step-by-step explanation:
Polly's Fish= P
Gemma's Fish = G
so the equation to find either's amount of fish is G= [tex]\frac{2}{3}[/tex]P - 3
But since we know Gemmas amount of fish we can change G to be 15
15= 2/3 P- 3
then add 3 to both sides to get 2/3 P by itself
18= 2/3 P
and since P is being multiplied by 2/3 we have to divide both sides by 2/3 and if you want to divide by a fraction then you just multiply by the reciprocal ( flip the numerator and the denominator)
then you have
[tex]\frac{3}{2}[/tex] x [tex]\frac{18}{1}[/tex] = [tex]\frac{2}{3}[/tex] x [tex]\frac{3}{2}[/tex] P
which simplifies to
54/2 = 6/6 P
which further simplifies to
27 = 1P or 27=P
So P=27 which means polly has 27 fish
A river is currently 3 feet deep. Due to rainfall and resulting runoff from the surrounding hills, the depth of the river rises over time. After 2 inches of rainfall, the river is 11 feet deep. Assume that the depth of the river will continue to rise at this same rate with each new inch of rainfall.
Therefore , the solution of equation comes out to be the depth of the river is 5+(6.5/3)*x.
What algebraic fundamentals are there?Algebraic fundamentals include: Algebraic expression addition and subtraction, algebraic expression division and multiplication, figuring out equations, literal formulas and equations, Applying verbal issues
Here,
Given : Let x = amount of rainfall (inches)
Let D = depth of river (feet)
Depth of river increases due to rainfall. Relationship of the depth of increase (in feet) to the amount of rainfall (inches) is:
6.5 feet / 3 inches rainfall
Depth will increase by (6.5/3)*x
Depth of river will be the initial depth plus the amount of increase due to rainfall. So:
D = 5 + (6.5/3)*x
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[tex]\sqrt{144}[/tex]
Find the removable and non removable discontinuity.
F(x) = 2/x
The function F(x) = 2/x has a removable discontinuity at x = 0, and a non-removable discontinuity at x = 0.
What is the Function?
A function is a mathematical relation between a set of inputs, called the domain, and a set of possible outputs, called the range. The definition of a function is often written as "f: X → Y", where X is the domain and Y is the range, and "f" is the name of the function.
The function F(x) = 2/x has a removable discontinuity at x = 0, and a non-removable discontinuity at x = 0.
At x = 0, the function is not defined, so it has a removable discontinuity at x = 0.
However, since the function is not defined for x = 0, it is also a non-removable discontinuity at x = 0.
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I need help with this math
Answer:
what your question tell me I will give you answer and also write down your name and question
A boy walks 3km from point A on a bearing of 023. He the walks 4km on a bearing of 113 to a point B. what is the bearing of B from A
The bearing of B from A is 76°.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Given that, a boy walks 3 km from point A on a bearing of 023°. He the walks 4 km on a bearing of 113° to a point B.
If A is at (0,0) then his first turn is at
X is at A + (3 sin23° , 3 cos23°) = (1.172, 2.761)
and B is at X + (4 cos23° , -4 sin23°) = (4.854, 1.198)
So, the bearing of B from A is θ,
where tanθ = 4.854/1.198 ≈ 76°
Therefore, the bearing of B from A is 76°.
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