Answer:
around 18%
Step-by-step explanation:
14.30/80=0.17875
0.17875*100=17.875
18%
Answer:
Step-by-step explanation:
the answer is [tex]\frac{14.30}{80}[/tex]=17.875%
In Scrabble, there are a certain number of each of the vowel: A-9, E-12, I-9, O-8, U-4. You decided to place only the vowel in a bag to conduct an experiment of drawing and replacing the letter back in the bag. The experiment' outcome wa a follow:
E, I, A, E, E, A, I, O, U, U, A, A, O, O, E
Which vowel' theoretical probability wa cloet to the experimental probability?
A and E are the vowels that theoretical probability was closet to the experimental probability.
The probability is 0.1685%
Probability:
Probability defines the probability of an event occurring. There are many real world situations where we need to predict the outcome of an event. We may or may not be certain about the outcome of an event. In such cases, I say that this event may or may not occur. Probability in general has excellent applications for making probability-based predictions in games and economics, and it also has widespread applications in this emerging field of artificial intelligence. The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative. The formula for calculating the probability of a
event is:
probability (event) = favorable outcome/total outcome
Now,
According to the Question:
N vowels = N(A) + N(E) + N(I) + N(O) + N(U)
=9 + 12 + 9 + 8 + 4
=42
The total number of letters is:
1×5+2×10+3×1+4×4+6×3+8×1+9×2+12×1=100
This is because dragging the tile reduces the number of vowels and the total number of letters.
p =42×41×...×36100×99×...×94
= 5916335104300
≈ 0.1685%
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2 2/5 times 1/4 simplest form
Answer:
37/56
Step-by-step explanation:
Answer: 3/5 = 0.6
Step-by-step explanation:
1. 2 2/5 x 1/4 = 12/20
2. 2 times 5 over 5 + 2/5 = 10 + 2 over 5 = 12/5
3. 12/5 times 1/4 = 12/20
4. 12/20=3/5
Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 81 cm2
At the rate of 126cm/s is the area of the square increasing when the area of the square is 81cm2.
If each side of a square is increasing at a rate of 7 cm/s.
The area of the square increasing rate,
Area, A = s2
each side of the square is increasing at the rate of 7cm / s (= dx / dt).
s is the side length
=> dA/dt = 2s. ds/ dt
ds/dt = 7cm/s
Area of the square = 81 cm2
81 cm2 = s2
s = 9 cm
so, dA /dt = 2. 9. 7
= 126 cm2/s
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What are the 3 possible solutions when solving a system of equations?
Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
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lamar bought v vanilla cupcakes and 8 chocolate cupcakes for the party write an expression that shows how many cupcakes lamar bought in all
Answer:
8 + v
Step-by-step explanation:
assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]
At Memorial High School, 60 of the 240 freshmen students are on an athletic team sponsored by the school. If the ratio is the same for the sophomore class, how many of the 220 sophomores are NOT athletes
Answer:
165 students or the sophomore class of 220 are not athletic.
Step-by-step explanation:
60/240 = .25 This means that 25% of the class is athletic. That would mean and .75 or 75% are not athletic.
220 x .75 = 165
a. Kiran tried to double this recipe. He used 2 cups of
yogurt, 6 tablespoons of peanut butter, 5 teaspoons of
chocolate syrup, and 4 cups of crushed ice. He didn't
think it tasted right. Describe how the flavor of Kiran's
recipe compares to Clare's recipe.
Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.
Define unitary method.A single or distinct variable is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.
Here,
Given :This recipe was doubled by Kiran. He used 4 cups of crushed ice, 6 tablespoons of chocolate syrup, 6 tablespoons of peanut butter, and 2 cups of yogurt.
1. Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.
2. Answers vary. Sample response: he should use 4 teaspoons of chocolate syrup instead of 5.
Therefore , the solution to this problem of unitary method comes out to be he should use 4 teaspoons of chocolate syrup instead of 5.
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will give brainliest please
Answer:
Step-by-step explanation:
a. we konw triangle have 180°
b. A straight line have 180°， so
∠abc=180-5x-12=168-5x,
∠bca=180-10x+37=217-10x
∠cab=180-9x-1=179-9x
then add them all 564 - 24x = 180
c.384=24x, x=16
d.so ∠bca=217-10·16=57.
Answer:
m∠BCA = 57°-------------------------------------------
Sum of exterior angles is 360°:
9x + 1 + 5x + 12 + 10x - 37 = 36024x - 24 = 36024x = 384x = 384/24x = 16The exterior angle at vertex C is:
10x - 37 = 10*16 - 37 = 160 - 37 = 123The ∠BCA is the linear pair with 123°:
m∠BCA = 180° - 123° = 57°Can you help me with this
How do you know if a linear system has one solution?
A linear system has one solution if the slopes of the equation of lines are different.
The 3 possible solutions of a linear system are:
- Unique or one solution
- Infinite solutions
- No solution
A linear equation is equal to the equation of a line, which has the form:
y = mx +b
where m = slope
If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
Example:
2x + 5y = 34 .. .. (equation 1)
x + 5y = 32 .........(equation 2)
Change the equation 1 and equation 2 into slope-intercept form:
y = (-2/5) x + 34/5 ..... (equation 1a)
y = (-1/5) x + 32/5 ..... (equation 2a)
The slope of equation is (-2/5) while equation 2 is (-1/5), which is different from equation 1. Hence, the system of linear equation has one solution.
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How do you graph the transformation of an absolute value function?
By translating, stretching and contracting, or reflecting, two functions from the same function family can become one another. Any function from a function family can be obtained by applying one or more transformations to a parent function.
By altering the graph of the parent absolute value function, many other absolute value functions can be created. The resulting absolute value functions take the following form:
[tex]y = |x-h| + k[/tex], where h and k are real numbers.
Absolute value functions can be created using the same kinds of operations that produce new linear functions. They also have a similar impact on absolute value functions. The transformations may, however, appear differently graphically due to some important discrepancies between linear functions and absolute value functions.
Here are some of the transformations:
Vertical Transformations
Translation up k units, k > 0; [tex]y = |x|+k[/tex]Translation down k units, k < 0; [tex]y = |x| + k[/tex]Horizontal Transformations
Translation to the right h units, h > 0; [tex]y = |x - h|[/tex]Translation to the left h units, h < 0; [tex]y = |x - h|[/tex]This is how we graph the transformation of an absolute value function.
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(5 points) 2. The coordinates of the vertices of ARST are R(1, 6), S(5, 3), and T(3,-2). Triangle R'S'T' is the image of ARST after a reflection in x = -1. Graph and state the coordinates of the vertices of AR'S'T'.
The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.
What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each otherGiven are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).
The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -
R' (1, -6)
S' (5, -3)
T' (3, 2)
The graph is attached.
Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.
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HELP! (25 POINTS AND CROWN FOE THE RIGHT ANSWER!!)
!!!PLEASE HELP ASAP!!!
Thus, complete scale is: 1 inch = 57.7 miles
This can be solved by the concept of cross-multiplication method.
What is inch scale?A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.
Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
Correct order is:
d. 27 / 1557 = 1/d
e. 27 . d = 1 . 1557
a. 27d = 1557
f. 27d / 27 = 1557 / 27
b. d = 57.7
c. scale: 1 inch = 57.7 miles
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A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table on the left.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Answer:
d
Step-by-step explanation:
What is the solution of 2x² 3x 2 0?
The equation 2x² + 3x - 2 = 0 has the solutions or roots 1 and -2. The quadratic equation is 2x² + 3x - 2 = 0
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.
given
Below is the quadratic equation.
2x² + 3x - 2 = 0
When you factor the equation, you get
2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x(x + 2) - 1(x + 2) = 0
(x - 1)(x + 2)
x = 1, -2
The equation 2x2 + 3x - 2 = 0 has the solutions or roots 1 and -2
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Find h when v = 54, L=6 and w = 3
Answer:
3
Step-by-step explanation:
Given,
v = 54
l = 6
w = 3
To find : Value of h = ?
Formula : -
v = lwh
h = v/lw
h = 54/( 6 × 3 )
= 54/18
h = 3
Hence, the value of h is 3.
n/5+4 = -4. I need help very bad please
In order to get the value of n, which is what we are trying to find, it is important to know how to isolate the variable.
When something is added to n, you subtract to isolate n. Going with this logic, you would multiply by a number if you wanted to isolate n with a fraction.
[tex]\frac{n}{5}+4=-4[/tex]
The first step would be to get rid of the 4 on the left side so we can work on the variable. We can do this by subtracting both sides by 4, so the left side cancels out to 0.
[tex]\frac{n}{5}+4-4=-4-4[/tex]
[tex]\frac{n}{5} =-8[/tex]
Next, we can multiply both sides by 5, so we can isolate the variable, because it is being divided by 5.
[tex]\frac{n}{5} *5=-8*5[/tex]
n=-40
On Tuesday Leah bought four hats. On Wednesday half of all the hats that she had were destroyed. On Thursday there were only 13 left. How many did she have on Monday? W: 22 hats N: 20 hats M: 10 hats O: 5 hrs
The number of hats that Leah had on Monday, given that half the hats were destroyed and four hats were bought, was, A. 22 hats.
How to find the number of hats ?If half the hats that Leah owns were destroyed on Wednesday such that only 13 hats were left, then it means that the total hats before the destruction, was :
= 13 hats x 2
= 26 hats
Seeing as Leah bought four hats on Tuesday, this means that the hats she had on Monday were :
= Total hats - Hats purchased on Tuesday
= 26 - 4
= 22 hats
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PLEASE HELP
Using the ratio 26 black marbles to 2 white marbles, match the following to create the equivalent ratios.
Step-by-step explanation:
1:13
2:26
3:39
4:52
5:65
6:78
Rule - ×13
Can you help me with this
A pair of shoes is on sale for 20% off they now cost 50$
The original price of the pair of shoes is $62.5.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = 100%
Offer price = $50
Offer = 20%
Now,
80% = 50
Multiply 100/80 on both sides.
100% = 100/80 x 50
100% = $62.5
Thus,
The original price is $62.5.
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Write an equation of the line passing through the point (1,8) and parallel to y=−3x+10
The equation of the line is 3x + y - 11 = 0.
The slope-intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
First we find the slope of the line y=-3x+10 by placing it into slope-intercept form:
y = -3 x + 10
Therefore, the slope of the line is m= -3
Now since the equation of the line with slope m passing through a point
(x₁ ,y₁) is y-y₁ = m(x-x₁)
Here the point is (1,8) and slope is m= -3, therefore, the equation of the line is:
y - 8 = -3(x - 1)
y - 8 = -3x +3
3x + y - 11 = 0
Hence, the equation of the line is 3x + y - 11 = 0.
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tripple of a number added to its half part its equal to the difference between four times the number and 12. What number is it
If triple of a number added to its half part its equal to the difference between four times the number and 12 then the number is 24.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us consider the number be x
tripple of a number added to its half part
3x+x/2
Difference between four times the number and 12
4x-12
So tripple of a number added to its half part its equal to the difference between four times the number and 12
3x+x/2=4x-12
6x+x=2(4x-12)
Apply distributive property on RHS
7x=8x-24
Subtract 7x on both sides and add 24
24=x
Hence, if triple of a number added to its half part its equal to the difference between four times the number and 12 then the number is 24.
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-1.8 × (-9.3)
How do I find this with the whole equation written out show your work of how you do this please
Answer:
16.74
Step-by-step explanation:
-1.8 times -9.3 will have a positive answer because 2 negative numbers will have a positive sum
-1.8
x -9.3
---------
5 4
1 6 2 0
---------
1 6 7 4 ||| add two decimal spaces
16.74
As a 11 1/3 inch candle burns down, its height decreases 1/6 inch each hour. How many hours does it take for the candle to burn completely?
SHOW YOUR WORK
The number of hours after which the candle is burned completely is
68 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Candle height = 11(1/3) inches
Each hour the height decreases by 1/6 inch.
Now,
The equation to find the number of hours x after which the candle is burnout is 11(1/3) - (1/6)x = 0
Solve for x.
11(1/3) - (1/6)x = 0
11(1/3) = (1/6)x
34/3 = (1/6)x
x = (34 x 6) / 3
x = 34 x 2
x = 68
Thus,
After 68 hours the candle is completely burnt.
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A 2 3/4inch candle burns down in 11 hours. At what rate does the candle A burn, in inches per hour?
Answer:
0.25 in/h
Step-by-step explanation:
1. change 2 3/4 t0 2.75
2. 2.75/11= 0.25
You have a circle-shaped mirror in your bedroom. To figure out where to hang it, you must find the diameter of the circle. You know the radius is 34 centimeters. How long is the diameter in inches? (Diameter = 2xradius) ( 1in = 2.54cm)
A. 26.8 inches
B. 86.4 inches
C. 172.7 inches
D. 13.4 inches
The diameter of a given circle, measured in inches, is 26.8 inches, according to the solution.
The correct option is A.
What makes it called a circle?A circle is a circular shape that can be created by tracing a moving point in a plane so that its distance from thea specified point remains constant. From the Greek word kirks, which means hoop or ring, comes the term circle.
How can a circle be so strong?Circular shapes give us a feeling of completion, assurance, and harmony from a psychological perspective. They stand for the concepts of oneness, integration, and wholeness. In addition to lacking angles, they also lack a beginning and an end. Because of this, a circle is a strong, yet secure, kind, and benign element.
According to the given information:Given,
Radius of circle= 34cm=13.36 inches
Diameter= 2x radius
Diameter = 26.8 inches
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The probability that a student studied is 0.85. The probability that a student will not pass, given that the student studied is 0.10.
a) Find the probability that a student will study and will pass.
b) Suppose that the probability that a student will either study or pass is 0.8. Find the probability that a student will pass.
a) The probability that a student will study and will pass is 0.765.
b) The probability that a student will pass is 0.715.
What is probability?
Simply put, probability is the likelihood that something will occur. When how an event will turn out is not known, one can discuss the likelihood of several outcomes.
Define some events -
A: A student studies.
B: A student will pass.
Given that P(A)=0.85 and
P(B|A)=1-P([tex]\bar{B}[/tex]|A)
=1-0.10
=0.90
a) P(a student will study and will Pass)= P(A∩B)
= P(A)·P(B|A)
= 0.85×0.90
= 0.765
b) Given that P( student will either study or pass), the probability is -
=P(A∪B)= 0.8 then P(a student will pass)
=P(B)
It is known that P(A∪B)= P(A)+P(B)-P(A∩B)
Then P(B)=P(A∪B) -P(A) +P(A∩B)
=0.8-0.85 + 0.765
=0.715
Therefore, the probabilities are 0.765 and 0.715.
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Select all questions that depicts one of the properties of exponents
Answer: 1st, 4th, and 5th choices