Answer:
c is the independent variable and f is the dependent variable
Step-by-step explanation:
Complete the stemplot for the following data. 34 53 66 52 48 42 41 58 36 50 40 59 49 35 30 40 43 35 61 43 49 39 44 43 34 42 68 46 46 39 Enter the numbers for the last row. Do not enter commas or other symbols, just numbers.
The stem plot for the given data is 3 4 5 6.
A stem and leaf plot, also known as a stem and leaf diagram, is a technique to arrange data such that it is simple to see how frequently certain sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
Arranging the given data in ascending order,
30, 34, 34, 35, 35, 36, 39, 39, 40, 40, 41, 42, 42, 43, 43, 43, 44, 46, 46, 48, 49, 49, 50, 52, 53, 58, 59, 61, 66, 68
The stem plot = 3 4 5 6
Calculated Statistics:
Minimum:30
Maximum:68
Range:38
Count:30
Sum:1365
Mean:45.5
Median:43
Mode:43
Standard Deviation:9.616
Variance:92.47
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If lunch cost $15.70, before tip, and you left $3.14, what %
tip did you leave and what was the total cost of lunch?
Answer:
20%
$18.84
Step-by-step explanation:
3.14 is what percent of 15.70?
Use the percent-to-dollar conversion (100: 15.70) :
3.14 * 100% / 15.70 =
3.14 / 15.70 * 100% =
1/5 * 100% =
100% / 5 = 20% ==> percent tip
$15.70 + $3.14 = $18.84 ==> Total cost
You have 3 3/4 cups of nuts to divide evenly among 5 people. How many cups of nuts will each person get
Each will get 3/5 cups of nuts by ratio and proportion concepts.
What does ratio explain mean?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
We have to divide total nuts within 5 people.
so,
3 3/5 : 5
but first convert,
3 3/5 = 15/4
substitute,
15/4 : 5 = 15/20cups of nuts
simplify,
3/5 cups
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1.
The table below shows the number of animals at a local petting zoo.
Animal
Ponies
Goats
Number
3
3
Rabbits
8
Type a response
Sheep
6
Write the ratio of ponies to sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, it
possible.
1/2
If there are 3 ponies, and 6 sheep,
the original ratio is 3/6.
However, it must be simplified down to 1/2.
A guy wire attached to the top of a radio antenna
is bolted to the ground 48 m from the base of
the tower. If the wire makes an angle of 14°
with the ground. What is the length of the
guy wire? Round your answer to the nearest
hundredth of a meter.
1
The length of the guy wire is 48.87 m.
How to find the length?To find the length of the guy wire, you can use the formula for the length of a side of a right triangle (the Pythagorean theorem): [tex]c = sqrt(a^2 + b^2)[/tex]. In this case, c is the length of the guy wire, a is the distance from the base of the tower to the point where the guy wire is attached to the ground (48 m), and b is the distance from the point where the guy wire is attached to the ground to the top of the antenna.
To find b, you can use the tangent function: [tex]tan(14°) = b / 48.[/tex]
Solving for b gives b = 6.78 m
Then, length of wire can be calculated as
[tex]c = sqrt(48^2 + 6.78^2)[/tex]
[tex]c = 48.87 m (approx)[/tex]
Rounding it to the nearest hundredth of a meter, the length of the guy wire is 48.87 m.
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Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13
Answer:
Step-by-step explanation:
a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]
b.so 190000÷4.2=4523
c.finally, about 4523 times
Use the distributive property to rewrite each expression. Then evaluate. 14 (102)
Using the distributive property to rewrite the expression, gives (14 x 10) + ( 14 x 2). When evaluated, the result would be 168.
What is the distributive property?According to the distributive property, it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
This means that with the formula given, 14 (10 + 2):, the distributive property makes it:
= 14 (10 + 2)
= (14 x 10) + ( 14 x 2)
The evaluation gives :
= (14 x 10) + ( 14 x 2)
= 140 + 28
= 168
In conclusion, using the distributive property gives (14 x 10) + ( 14 x 2).
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Each of Frank's notebooks is 2/5 inches wide. If he has 10 inches of space remaining on his bookshelf, how many notebooks will fit
We can fit 25 notebooks on the space.
Now, According to the question:
The width of the notebook is 2/5
The length of the space is 10 inches.
To find the number of the notebooks can put there divide 30 by 2/3
Number of the books : [tex]\frac{10}{\frac{2}{5} }[/tex] = 10 × [tex]\frac{5}{2}[/tex]
=> 50/2 = 25
The number of the notebook is 25
We can fit 25 notebooks on the space.
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The times taken by 25 people to complete a puzzle are shown. Draw a frequency polygon for data.
To create a frequency polygon calculate the midpoint, locate the midpoints and connect them with lines.
What is a frequency polygon?A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.
So, we must determine the midpoint or average of the range for each category.
0 < t < 10 = 5
10 < t < 20 = 15
20 < t < 30 = 25
30 < t < 40 = 35
2. Add a point where the data of the axis Y and X form an intersection.
3. Connect the points.
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A store that specializes in shipping packages reports that the distribution of packages shipped during the winter holidays is normally distributed with a mean of 4. 5 pounds with a standard deviation of 1. 8 pounds
What is the probability that two randomly selected packages are both more than 4. 5 pounds? (assume the packages are independent of each other)
a. ) 0. 5
b. ) 1
c. ) 0
d. ) 0. 25
The correct option is option (d).
To solve this problem, we need to find the probability that two randomly selected packages are both more than 4.5 pounds. Since the distribution is normal, we can use the standard normal distribution table to find the probability.
The first step is to standardize the weight of the packages by subtracting the mean from the weight and dividing it by the standard deviation. The weight of 4.5 pounds is the mean, so the standardized weight is (4.5 - 4.5) / 1.8 = 0.
The probability that a package weighs more than 4.5 pounds is the same as the probability that a standardized package weighs more than 0. This probability is equal to 1 - P(Z < 0) , where Z is the standardized weight.
Using a standard normal distribution table, we find that P(Z < 0) = 0.5. Therefore, the probability that a package weighs more than 4.5 pounds is 1 - 0.5 = 0.5.
Since the two packages are independent, we can find the probability that both packages are more than 4.5 pounds by multiplying the probability of one package being more than 4.5 pounds by itself. So, the probability that two randomly selected packages are both more than 4.5 pounds is 0.5 * 0.5 = 0.25.
In conclusion, the probability that two randomly selected packages are both more than 4.5 pounds is 0.25
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DEFG is a square with vertices at D(1, 1), E(1,6), F(6, 6), and G(6, 1). DEFG is reflected in the line x = 1. Find the coordinates of
D',E,F, and G'.
By considering the reflection, the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
What is square?A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.
What is reflection?Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.
When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.
The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:
D(1,1) => D'(1-1,1) => D'(0,1)
E(1,6) => E'(1-1,6) => E'(0,6)
F(6,6) => F'(6-1,6) => F'(5,6)
G(6,1) => G'(6-1,1) => G'(5,1)
So the coordinates of the reflected square D'E'F'G' are:
D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)
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How do you find the midpoint answer?
To find the midpoint of two points in a coordinate plane, you can use the midpoint formula.
The midpoint formula is the average of the x-coordinates and the average of the y-coordinates of the two given points.
The midpoint formula is:
((x1 + x2)/2 , (y1 + y2)/2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For example, if the two points are (3, 4) and (5, 8), the midpoint would be:
((3 + 5)/2 , (4 + 8)/2) = (4, 6)
So the midpoint between (3, 4) and (5, 8) is (4, 6).
It's important to note that this formula is valid for any dimension, not just 2D, and it can be used to find the midpoint of any two points in space, whether it's in 2D, 3D, 4D and so on.
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There are 18 counters divided equally among 3 groups. How many counters are in each group?
(b) Felipe is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Check
Number in group
Cost (in dollars)
2
10
3 9
15 45
The cost for each person is not always the same.
OThe cost for each person appears to be the same.
Predicted number in group for a cost of $50:
Answer:
Step-by-step explanation:
from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10
the anwser is second choice, fill 10 in blank.
if u like this, pls 5 stars. tku!
What is the importance of constructing a probability distribution for a random variable in interpreting data?
A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.
A probability distribution is a list of all of the possible outcomes of a random variable, along with its corresponding probability values.
A probability distribution links each outcome of a random variable or process with its probability of occurrence.
A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.
These models have a mathematical background, and can be very picky. For them to work properly, the random variable you are trying to fit in must meet different assumptions so that the outcomes of the model have the correct probabilities, and also so that you can test and validate the model against real data from the random variable.
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I have 2 bags of onion bhajis, one of which holds 42 bhajis. I empty them
onto a plate, making 50 bhajis. How many bhajis were in the second bag?
There were 8 bhajis in the second bag if he have 2 bags of onion bhajis, one of which holds 42 bhajis.
What is an equation ?
In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"
Let's call the number of bhajis in the second bag "x".
We know that he total number of bhajis after emptying both bags onto the plate is 50.
So we can write an equation:
42 + x = 50
To solve for x, we can subtract 42 from both sides:
x = 50 - 42
x = 8
Therefore, there were 8 bhajis in the second bag.
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What is associative property example?
The example of an associative property is a+(b+c) = (a+b) + c for additional operation and a × (b × c) = (a × b) × c for the multiplication operation. The associative property is used to solve an equation or expression of real numbers.
What are the properties of real numbers?
In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.
The four primary characteristics of real numbers are as follows:
Commutative property
Associative property
Distributive property
Identity property.
Associative property: The associative property is applicable on two arithmetic operations. They are multiplication and addition.
For multiplication operations: a × (b × c) = (a × b) × c
For additional operation: a+(b+c) = (a+b) +
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I don't know HOW TO DO THIS
Answer:
sorry, I forget how to do the other ones and I'm just as confused but for 4. AD is 20 and 5. GJ is 17
Step-by-step explanation:
4. side AD is equal to side CD so therefore its 20.
5. side are equal again so make
4x+5 = 2x+11
-5 -5
4x = 2x+6
-2x -2x
2x = 6
/3 /3
x = 3
2(3)+11
6+11
17
a A trader opens a bank account with #250 000. In one month, she pays out two cheques for #49 000 and 34 000 and pays in one cheque for N14000. How much money does she have in her account after one month?
Answer: #181000
Step-by-step explanation:
So, to solve the problem, recall these definitions:
payout - withdrawal
pay in - deposits.
Normally, deposits add money to your balance, and withdrawals take out money.
So, there is one cheque for paying in 14,000, and two cheques for paying out 49,000 and 34,000
So, the balance is 250000 + 14000 - (49000+34000)
The balance is 181,000
The sum of the measures of the interior angles of a convex polygon is 1260°. Classify the polygon by the number of
sides.
O Heptagon
O Octagon
ONonagon
O Decagon
The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.
How can you determine a polygon's entire angle?Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.
What is the formula for polygons?The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.
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i need the correct answer only 2 try’s and due in 15 min
The sample space between A to C is A,B,C
What is the probability?The likelihood that a sample point will occur is quantified by its probability.
The likelihood of a sample point
According to tradition, statisticians have adopted the following guidelines.
Any sample point's probability can be between 0 and 1.
The probability of every sample point in a sample space added together is 1.
Let's say we run a straightforward statistical experiment. One coin is flipped. Heads or tails are the possible results of the coin flip. These results taken as a whole serve as our experiment's sample space. Each result stands in for a single sample point in the sample space. What is each sample point's probability?
Solution: the total of all sample points' probability
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pleaseeeeeee someone help me asappp i need help so bad.
The slope of the linear equation that passes through the points (-6, -2) and (3, -2) is 0.
How to find the slope with the two known points?We can write a linear equation using the sope-intercept form as:
y = m*x + b
Where m is the slope and b is the y-intercept.
For any linear equation, if we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is given by:
m = (y₂ - y₁)/(x₂ - x₁).
In this case we know that the line passes through the points (-6, -2) and (3, -2).
Then the slope will be:
m = (-2 + 2)/(3 + 6) = 0
m = 0
The slope is zero, meaning that this is an horizontal line.
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Solve the system.
6x - y = -15
x+2y = 17
Enter your answer as a coordinate pair in the blank.
The coordinate pair of the given system is (-1,9)
What are coordinate pairs?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Multiply the first equation by 2 and add the equation 2(6x - y) = 2(-15)
Add the new equation 12x - 2y = -30 to the second equation
12x - 2y = -30, x+2y = 17, add the two equations to eliminate y
13x = -13
x = -1
Substitute -1 back into the equation x+2y = 17.
-1 + 2y = 17
2y = 18
y = 9
So the solution of the system is x = -1, y = 9
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y2−10y+24+6x−9x2
[tex]factorization[/tex]
Answer:
y(2-10)2(12+3x)...
Step-by-step explanation:
first make groups of the numbers
y2 with 10 y they both have y in common
so you can write it as y(2-10)
after 24 with 6x they both have 2in common (2×12=24)
so you can write it as 2(12+3x)
and you can do the rest with the same technique
I need this ASAP!
( Fractions and whole numbers)
Answer:
C. [tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
One way of approaching this problem is to multiply the numbers the numerators together and then divide by the denominator to receive the quotient and the remainder.
Firstly 6 can be written as a fraction like so: [tex]\frac{6}{1}[/tex] because 6 divided by 1 is equal to 6.
To multiply two fractions together, we simply multiply the numerators and multiply the denominators:
[tex]\frac{7}{9}* \frac{6}{1} =\frac{7*6}{9*1}[/tex]
Which gives us the improper fraction of: [tex]\frac{42}{9}[/tex]
Next, we find the highest multiple of 9 which is smaller than 42. If we write out the multiples of 9 we will find that it is 36:
1x9=9, 2x9=18, 3x9=27, 4x9=36, 5x9=45
Since we know that at least 4 whole 9s go into 42 we can conclude that the coefficient of the fraction will be 4.
To find the fraction itself, we must find the remainder which we can do by subtracting 36 from 42: 42-36 = 6
The remainder is the numerator of the fraction as there are 6 ninths left over after we have divided 42 by 9.
Therefore our answer is [tex]4\frac{6}{9}[/tex]
If we divide 6 and 9 by 3 we will find that 6/9 is equivalent to 2/3 therefore our final answer is [tex]4\frac{2}{3}[/tex].
Option C is correct.
What is the value of the expression below if
x = -5, h = -5, and y = -3.
3-h(x+4)-2y
Answer:
4
Step-by-step explanation:
3 - h(x + 4) -2y Substitute in what was given.
3 -(-5)(-5+4)-2(-3)
3 + 5(-1) + 6
3-5+6
-2+6
4
Answer:
3-(-5)(-5+4)-2(-3)
3+5(-1)+6
3-5+6
-2+6
4
In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
The population of the city grew from 2010 to 2020 by 13.37 %
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, In 2010, the population of a city was 237,000. From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.
The population in 2015 =
A = P (1+r)ⁿ
A = final population.
P = Initial population.
r = rate
n = time
The population in 2015 =
A = 237,000(1+0.076)⁵
A = 341829.629
The population in 2020 =
A = P (1-r)ⁿ
A = 341829.629(1-0.047)⁵
A = 268704.047
Percent grow = 268704.047 - 237,000 / 237,000 × 100
= 31704.047 / 237,000 × 100
= 13.37 %
Hence, the population of the city grew from 2010 to 2020 by 13.37 %
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HELP!!!
Marta bakes 3 types of cake: chocolate, fruit, and sponge. The recipe for each cake includes flour and sugar and she uses 3.3kg of flour and 3.1kg of sugar in total.
Each chocolate cake uses 225 g of flour and 300g of sugar
Each fruit cake uses 320g of flour and 250g of sugar
Each sponge cake uses 400 g of flour and 325g of sugar
Marta sells chocolate cakes for $12, fruit cakes for $10, and sponge cakes for $8 and makes a total of $114
How many of each cake does she make?
(Answer in the back of the book: 4 chocolate, 5 fruit, 2 sponge cakes)
The three equations for this problem are:
The total amount of flour used: 3.3kg = (225g/cake) * (number of chocolate cakes) + (320g/cake) * (number of fruit cakes) + (400g/cake) * (number of sponge cakes)The total amount of sugar used: 3.1kg = (300g/cake) * (number of chocolate cakes) + (250g/cake) * (number of fruit cakes) + (325g/cake) * (number of sponge cakes)The total revenue from sales: $114 = ($12/cake) * (number of chocolate cakes) + ($10/cake) * (number of fruit cakes) + ($8/cake) * (number of sponge cakes)Let's call the number of chocolate cakes x, the number of fruit cakes y, and the number of sponge cakes z
so the
first equation can be written as 3.31000 = (225x) + (320y) + (400z)second 3.11000 = (300x) + (250y) + (325z)and third one 114 = (12x) + (10y) + (8*z)let's use the third equation to get the value of x,y and z:
x = (114 - 10y - 8z) / 12y = (114 - 12x - 8z) / 10z = (114 - 12x - 10y) / 8If you get the values and substitute, then the answer would be:
4 chocolate cakes, 5 fruit cakes, 2 sponge cakes
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4. Automotive Trades At the beginning of the day on Monday, the parts
department has on hand 520 spark plugs. Mechanics in the service depart-
ment estimate they will need about 48 plugs per day. A new shipment of
300 will arrive on Thursday. Write out a mathematical statement that gives
the number of spark plugs on hand at the end of the day on Friday. Calcu-
late this total.
StS estimate
Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.
Describe the equation.Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.
Here,
Given: A new supply of 300 spark plugs will come on Thursday,
and 520 spark plugs require 48 plugs per day.
To determine an equation to determine however many plugs will just be left at the end of Friday:
So,
where n is the no of days
=> 520 - 48*n + 300
=> 520 - 48*5 + 300
=> 520 - 240 + 300
=> 520 + 60
=> 580
Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.
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Tara placed the numbers -2 1/6, 3/11 and 2 2/9 on the number line below. Which letters
represent the correct location for each number?
-2 1/6 is A, 3/11 is C, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is E
or
-2 1/6 is A, 3/11 is D, and 2 2/9 is F
or
-2 1/6 is B, 3/11 is D, and 2 2/9 is F
Answer:
sorry beacuse I don't know anything