Answer:
A=6a2=6×(5)2=6×25=150cm2.
Step-by-step explanation:
satara was having fun playing poker. she needed the next two cards dealt to be hearts so she could make a flush (five cards of the same suit). there are 10 cards left in the deck, and three are hearts. what is the probability that the two cards dealt to satara (without replacement) will both be hearts? answer choices are in percentage format, rounded to the nearest whole number. 30% 7% 60% 26%
the probability that the two cards dealt to Satara (without replacement) will both be hearts is 7%
Total Number of cards left in the deck = 10
Number of hearts left in the deck = 3
Probability = (required outcome / Total possible outcomes)
Required outcome = hearts card in the deck
Without replacement, deal Satara two cards as follows:
The chance that the first card is a heart:
P(first card being hearts) = necessary result / all possible results
P(first card is a heart) equals 3/10.
The probability that the second card is a heart:
It cannot be replaced because:
Required result = (3 - 1). = 2
The total number of outcomes is (10 - 1) = 9 P(the second card is a heart) = 2 /9
The likelihood that the two cards are hearts is (3/10 x 2/9) = 6/90 = 0.0666 x 100% = 6.66%
= 7% (nearest whole number)
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What is the formula to find the units?
A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.
The meaning of math units:
Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.
The dimensions of a unit:
The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.
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Fine the slope of the line passing through the points (-4,-2) and (3,-2)
What is the mean of 2 4 6 8 10 30?
The mean for a given set of observations is 10.
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.
Here,
given set of observation,
=2,4,6,8,10,30
=(2+4+6+8+10+30)/6
=10
The mean for given set of observation is 10.
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Is linear equation easy?
Linear equations are easy to solve .They are a type of mathematical equation that involve one or more variables, in which all terms are of the first degree.
The general form of a linear equation is Ax + B = C, where A, B and C are numerical coefficients and x is a variable. Linear equations can be solved by first rewriting the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Then, the y-intercept can be determined by substituting in a value for x and solving for y. To find the slope, two points on the line must be chosen, and the formula m = (y2 - y1)/(x2 - x1) is used to calculate the slope. Once the slope and y-intercept are known, the equation can be written in its slope-intercept form and solved for x.
Linear equations can also be solved using the substitution method, where one of the variables is substituted with a numerical value. This method can be used when the equation is already written in its standard form, Ax + B = C. By solving for x, the value of x can be found and substituted back into the equation to find the value of C.
Finally, linear equations can also be solved using the elimination method, which is used when there are two linear equations with two unknowns. The two equations are added together, and the coefficients of one of the variables are eliminated. This method is useful for solving systems of linear equations.
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Can a function have no holes?
Yes, a function can have no holes when it has no common factor at both numerator and denominator.
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).
What is a hole?In Mathematics, a hole can be defined as a point on the graph wherein the input value of a given function is undefined or not defined. This ultimately implies that, a hole is a point on the graph of a rational function where the input value causes both its numerator and denominator to be equal to zero (0).
In conclusion, we can reasonably infer and logically deduce that it is very possible for a function to have no holes.
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What is a set in math Grade 7?
In math set refers the collection of unique objects that is no two objects can be the same.
In a set, the objects that belong in a set are called members or elements. And the elements of set can be anything that is numbers, animals, sport teams.
In order to represent the Sets either we have to List out the elements that are separated by commas and enclosed by curly brackets
For example,
W = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Otherwise, we have to specify in words that objects in the set must have certain characteristics/properties by describing elements using words proves useful when we are describing sets of large sizes.
For example,
N = {Even numbers between 1 and 25}
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what is the solution of 10(w+3)=70
Answer: w = 4
Step-by-step explanation:
To solve the equation 10(w+3) = 70, we will work to get w by itself:
1. Divide by 10. This will get us closer to w.
(10( w + 3))/10 = 70/10
w + 3 = 7
2. We now have the equation w + 3 = 7. All we need to do now to get w by itself (or isolate it) is to subtract 3.
(w + 3) - 3 = 7 - 3
w = 7 - 3
w = 4
3. We can check our solution by inputting our found value, w = 4, into the equation.
10( 4 + 3 ) = 70
10(7) = 70
70=70
Because both sides of the equation are true, our solution of w = 4 is correct.
Answer: w = 4
Step-by-step explanation:
10(w+3)=70
10w + 30 = 70
10w = 40
w = 4
write the equation of a line in slope intercept form that has a slope of 1/2 and passes through the point (-2,3)
Answer:
[tex]y=\frac{1}{2}x+4[/tex]
Step-by-step explanation:
[tex]y-3=\frac{1}{2}(x+2) \\ \\ y-3=\frac{1}{2}x+1 \\ \\ y=\frac{1}{2}x+4[/tex]
Answer: y = 1/2 x + 4
Step-by-step explanation:
1) They gave you the slope so: y= 1/2x + b
2) Goes through point (-2,3) so: 3 = 1/2(-2) + b
3) 3 = -1 + b
4) b = 4
5) answer: y = 1/2x + 4
brainliest pls
About what percent of 212 is 400?
Answer:
Step-by-step explanation:
If you're wondering about what percent of 212 is 400, the answer is 189.3%. This means that 400 is 89.3% higher than 212. It’s easy to see that, when compared side by side, 400 is a much bigger number, almost twice as great as 212. Put another way, if you divide 400 by 212, you get 1.89—that’s your answer! Clearly, 400 is a great deal larger than 212 and this difference in size can be expressed as a percentage increase of 189.3%.
Approximately 19.05% of 212 is 400.
Answer:
Step-by-step explanation:
Solution for 212 is what percent of 400:
212:400*100 =
(212*100):400 =
21200:400 = 53
Now we have: 212 is what percent of 400 = 53
Question: 212 is what percent of 400?
Percentage solution with steps:
Step 1: We make the assumption that 400 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=400$.
Step 4: In the same vein, $x\%=212$.
Step 5: This gives us a pair of simple equations:
$100\%=400(1)$.
$x\%=212(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{400}{212}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{212}{400}$
$\Rightarrow x=53\%$
Therefore, $212$ is $53\%$ of $400$.
the answer is 53 or 188.68%
How do you find the slope of 4x 5y 0?
The slope of the line is [tex]m = \frac{4}{5}[/tex]
What is meant by slope ?A line's direction and steepness are both expressed by the slope or gradient of the line, which is a numerical value. Slope is determined mathematically by the ratio of rise to run. It is referred to as the slope-intercept form of the equation if the equation of a line is expressed as y = mx + b. The slope of the line is measured by m. Additionally, the y-intercept is at a position where b is the b. (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0.
slope using standard form:
[tex]m = \frac{4}{5}[/tex]
slope m of a line of the form Ax + By = C, equals -[tex]\frac{A}{B}[/tex]
A = 4 , B = -5
[tex]m = - \frac{4}{-5}[/tex]
Therefore;
[tex]m = \frac{4}{5}[/tex]
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A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?
Answer:
Thus there are 3150 ways to select the 2 faculty members and 4 students for the committee.
Step-by-step explanation:
Is a function continuous at a hole?
continuous function can be represented by a graph without holes. A function whose graph has holes is a discontinuous function
What is the hole of a function ?Hole is a point on the graph where the value of the function is not defined. If the numerator and denominator of a rational function have a common factor they will cancel when simplifying.
Therefore to find the hole of a function is to consider numerator and denominator. If there is the same factor in the numerator and denominator there is a hole.
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a population grows exponentially, doubling in 4 hours. how long, to the nearest tenth of an hour, will it take the population to triple?
Answer: 6.3 hours
Step-by-step explanation:
I have attached an image of how I solved it!
How do I solve this, or set it up
Can two equilateral triangles always be congruent give reasons to justify your answer?
No, two equilateral triangles need not to be always congruent with one another .
Justification of answer:
The reason is that although an equilateral triangle's angles are all 60 degrees, their corresponding sides are not necessarily the same .
Properties of an equilateral triangles:1. All 3 side of an equilateral triangles have same length .
2. All 3 angles of an equilateral triangles have same measure.
3. Each angles of an equilateral triangles is 60 degree .
4. Area of equilateral triangles = [tex]\frac{\sqrt{3} }{4} *a^2[/tex]
5 . Perimeter of an equilateral triangles = 3*a
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[tex]{\huge{G = \frac{P-2M}{2} }}[/tex]
Lines L and M are parallel. O 1/6 38 7 3/4 2/5 Find : m
Answer:
∠ 6 = 38°
Step-by-step explanation:
∠ 6 and 38° are vertically opposite angles and are congruent , then
∠ 6 = 38°
What are the 3 types of graphs?
Three commonly used types of graphs are bar graphs, Pie Chart, and line graphs. Every sort of graph is appropriate for displaying a one-of-a-kind kind of records.
Graph:
The term graph is a pictorial illustration of facts in an organized way. Charts are normally fashioned from different data factors that represent the link among two or more matters.
Bar Graph:
A bar graph is a chart that displays complete data in rectangular bars, with the height of the bars proportional to the values they represent. Chart bars can be displayed vertically or horizontally. A bar chart, also called a bar chart, is a graphical representation of grouped data. It is a method of data processing. Bar Graph are great for displaying data independent of each other and do not need to be in any particular order when displayed. Bars provide a visual indicator for comparing amounts in different categories. A bar chart has two lines, the horizontal and vertical axes (also called x-axis and y-axis), a title, labels, and a scale range.
Pie Chart:
Pie Chart is a chart type that visually represents data in a pie chart. It is one of the most commonly used charts for representing data with attributes of circle, sphere, and angle data to represent real-world information. The shape of the pie chart is circular, the circle represents all the data and the slices of the pie represent portions of the data and are plotted separately.
For Example: A full circle represents a value of 100. Divided into 10 slices or sectors. Different colors represent the ingredients used to prepare the cake. What is the exact amount of each component represented by a particular color in the pie chart below?
Solution: As you can see, the pie he is divided into 10 segments or sectors. To calculate the exact amount of ingredients added to the cake, divide the value across sectors.
H. 100 in sectors. So 100 ÷ 10 = 10.
Line graph:
A line chart is a graphical representation of changes that occur over a period of time. A line chart has a horizontal axis called the x-axis and a vertical axis called the y-axis. The x-axis usually has a period of time that measures the quantity of a particular thing or item on the y-axis. Line charts are useful for analyzing trends, whether the quantity on the y-axis is increasing or decreasing over time. A line chart clearly shows an uptrend or a downtrend.
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How do you find the zeros and holes of a function?
To find the zeros and poles of a function, you can use the following steps:
Write the function in standard form, with the independent variable (usually x) in the denominator.Find the zeros by setting the numerator equal to zero and solving for x. In the example above, the zeros are the solutions to the equation x^2 + 3x + 2 = 0. You can solve this equation using the quadratic formula or by factoring.Find the poles by setting the denominator equal to zero and solving for x. In the example above, the poles are the solutions to the equation x - 1 = 0, which means that the pole is x = 1.Plot the zeros and poles on the complex plane. The zeros correspond to points where the function is equal to zero, and the poles correspond to points where the function is undefined.How do you find the zeros and poles of a function?Generally, It's also important to note that a function can have multiple zeros and poles, and they can be complex numbers as well as real numbers. In that case, you can use the same steps above to find all of the zeros and poles.
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CQ
How do you find the zeros and poles of a function?
what is 20% of 18
(include explanation please)
Answer: 3.6
Step-by-step explanation:
20/100= 1/5
1/5*18=18/5 or 3.6
Answer:
Twenty percent of 18 is 3.6. To find 20% of a number, simply multiply the number by 0.20. For example, 20% of 18 can be calculated by multiplying 18 by 0.20, which gives us 3.6.
Step-by-step explanation:
Whats mean in range?
The extent of the variations that could occur or the dividing lines between them several styles and prices across the steel spectrum. the scale or extent of a procedure, move, or activity.
what is range ?The statistical range for a certain data collection is the range of values between the highest and lowest values. Comparing the top and lowest observational values also allows one to visualize the range. By deducting the greatest value from the lowest, the sample interval is determined. The sample range is a critical indicator of variability for variables with continuous variation.
here ,
There is a range of values between the lowest and highest. The lowest and greatest values in the example are 2 and 9, respectively.
Therefore, the range is 9 x 2 = 8.
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Graph using table of values, f (x) = 2x^2 + 4x - 5
Answer:
See explanation
Step-by-step explanation:
What are the solutions to this quadratic equation 2x2 − 7x − 4 0?
The solutions of the given quadratic equation are -1/2 and 4
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation, 2x²-7x-4 = 0
Factoring,
2x²-8x+x-4 = 0
2x(x-4)+1(x-4) = 0
(2x+1)(x-4) = 0
x = -1/2
x = 4
Hence, The solutions of the given quadratic equation are -1/2 and 4
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Question 7 *
2 points
Consider five-digit integers that have the following properties. Each of the digits is
1, 2 or 3, and each of 1, 2, 3 occurs at least once as a digit; also, the number is not
divisible by 2 nor divisible by 3.
What is the difference between the largest and the smallest of these integers?
O
Answer:
22098
Step-by-step explanation:
You want the difference between the largest and smallest 5-digit numbers whose digits are from the set {1, 2, 3} and include each of these at least once. The numbers cannot be divisible by 2 or 3.
DigitsThe number will be divisible by 3 when its sum of digits is a multiple of 3. Since 1, 2, and 3 are prescribed digits, the remaining two digits must not have a total of 3 or 6. The largest possible remaining digits are {2, 3}, and the smallest remaining digits are {1, 1}. (Using {3, 3} for the largest digits would give a number divisible by 3.)
The number will be divisible by 2 if the least significant digit is 2. The largest and smallest digits are not 2, so that will not be an issue.
LargestThe largest number will place the largest available digit in the place with the highest place value: 33221.
SmallestThe smallest number will place the smallest available digit in the place with the highest place value: 11123.
DifferenceThe desired difference is the difference of these numbers:
33221 -11123 = 22098 . . . . difference of largest and smallest
The difference between the two numbers will be 1998.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.
Given that Consider five-digit integers that have the following properties. Each of the digits is 1, 2 or 3, and each of 1, 2, 3 occurs at least once as a digit; also, the number is not divisible by 2 nor divisible by 3.
The largest number will be 3211.
The smallest number will be 1213.
The difference between the largest and the smallest number will be calculated as,
D = 3211 - 1213
D = 1998
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Is arithmetic mean 10 and standard deviation is 20 then coefficient of standard deviation?
The coefficient of variation is 200%.
The coefficient of variation is the ratio of the standard deviation to the mean. One form of measure of dispersion is the coefficient of variation. A number called a measure of dispersion is used to assess the degree of data variability. As a result, the coefficient of variation is used to assess how much data deviate from the mean or average value. The acronym CV stands for coefficient of variation.
Given that,
Arithmetic mean = 10
Standard deviation = 20
Therefore of coefficient of variation is SD/AM*100 = 20/10*100 = 200%
Hence, the coefficient of variation is 200%.
Correct question: If the arithmetic mean is 10 and the standard deviation is 20 then what is the coefficient of variation?
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II. ALWAYS, SOMETIMES, OR NEVER TRUE. Write
A
S
N
123
2.
3.
4.
5.
6.
7.
8.
9.
10.
-If the statement is ALWAYS true
-If the statement is SOMETIMES true
-If the statement is NEVER true
A diameter of a circle is a chord.
The sum of any two sides of a triangle is greater than the third side.
The sum of the squares of the legs of a right triangle is equal to the square of its
hypotenuse.
The geometric mean of two numbers is the average of their product.
A minor arc of a circle is greater than 180°.
To find the length of an arc, divide the measure of the central angle then multiply it by the
area of the circle.
Dilation can either shrink or enlarge a figure.
A line can be bisected.
Supplementary angles are congruent.
If two pairs of corresponding angles of two triangles are congruent, then the triangles are
similar.
III. Problem-solving:
1. Always (by definition)
2. Always (triangle inequality)
3. Always (Pythagorean theorem)
4. Sometimes (take x=y=1 and x=4, y=3)
5. Never (by definition)
6. Sometimes (Only if area = circumference)
7. Sometimes (Consider when scale factor = 1)
8. Never (Lines extend infinitely)
9. Sometimes (Only if both angles are right angles)
10. Always (Angle-angle similarity)
A coach asked her athletes if they enjoy running. Sixty-five percent of the team do not like to run. Of those, 60% enjoy cycling, while 80% of those who enjoy running also enjoy cycling. The tree diagram shows how the athletes are divided into subgroups.
The tree diagram shows athletes branching off into two categories, enjoys running and does not enjoy running. Enjoys running branches off into two sub-categories, enjoys cycling and does not enjoy cycling. Does not enjoy running branches off into two subcategories, enjoys cycling and does not enjoy cycling.
NEED ANSWER ASAP!!! ty!
What is the total percentage of all the athletes who enjoy cycling?
22%
30%
40%
67%
Answer:
222222222222222222222%
Answer: A = 67%
Step-by-step explanation:
Ex 2: A car can get 10 miles on 1 ½ gallons of gas. How many gallons of gas are needed
if you need to go 150 miles?
Answer: 22.5 gallons of gas
Step-by-step explanation:
1 1/2 = 3/2 or 1.5
Take 1.5 divided by 10 = 0.15 gallon per mile
Then take 0.15 times 150 miles = 22.5 gallons of gas
What is the factor form of 3x² 10x 3?
The factor form of 3x² 10x 3 is 3x(x+3)(x-3). This is because 3x² 10x 3 can be factored into three linear terms: 3x(x+3)(x-3).
What is factor?Factor is a quantity or an expression that is multiplied to another quantity or expression to obtain a product. Factors are used in mathematics to solve problems involving multiplication, division, and equations. Factors can also be used in financial analysis to calculate interest payments, loan repayments, and other financial transactions. Factors can also be used to analyze supply and demand, market trends, and other economic indicators.
This is achieved by using the 'FOIL' method, which stands for First, Outer, Inner, Last. The first two terms, 3x and x+3, are multiplied together to give 3x². The outer two terms, 3x and x-3, are multiplied together to give 3x-9. The inner two terms, x+3 and x-3, are multiplied together to give x²-3. The last two terms, 3x² and x²-3, are added together to give 3x² + x²-3 = 3x² + 10x - 3.
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