Guido can choose his Jolly Rancher in 78,125 different ways over the course of a week.
Guido chooses one sweet per day from a selection of five options; there are a total of five possible selections for a single day. Since there are seven days in a week, the sum of the ways Guido can choose candy over the course of a week equals the sum of the methods for each day.
Using the multiplication principle of counting
Total number of ways = 5 x 5 x 5 x 5 x 5 x 5 x 5
Simplifying this expression gives:
Total number of ways = 5^7
Using a calculator or by hand, we can compute:
Total number of ways = 78,125
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Drag each tile to the correct box.
Put the numbers in order from greatest to least.
3.406
V
305
100
A
99 X
100
The order of the numbers from greatest to least are 3.406 > 305 / 100 > 99 × 1/100
What is descending order?Descending order refers to the arrangements of numbers from the greatest to the least.
On the other hand, ascending order is the arrangement of numbers from the least to the greatest.
3.406
305 / 100
= 3.05
99 X 1/100
= 99 × 0.01
= 0.99
Therefore, the arrangements from greatest to least is 3.406, 305 / 100, 99 × 1/100
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PLEASE HELP I WILL GOVE BRANLIST IF ITS RIGHT. Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
List 1 List 2 List 3 List 4
Which list gives the sample of space for pulling 2 marbles from the bag with replacement
The sample space for pulling 2 marbles to find the probability will be List 3.
What exactly is probability?Probability conveys how likely an event is to occur. The occurrence of a random event is the focus of this mathematical field of study. The value is in the zero to one range. Mathematicians use probability to predict the likelihood that certain events will take place.
The possibility of something happening is referred to as probability. The probability distribution also utilises this basic concept from probability theory. We must first ascertain the total number of possibilities before calculating the likelihood of a specific event.
The proportion of favourable outcomes to all possible outcomes, or P(E), determines the likelihood that an event will take place.
Now,
Given that Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
So no. of ways to pick first ball = 3
as there are three type of balls
and no. of ways to pick second ball= 3 as replacement is allowed.
Therefore total sample space = 3*3=9
Hence,
The sample space for pulling 2 marbles will be List 3.
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The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Box plot, because the median can easily be determined from the large set of data.
What exactly is a median?
The median is defined as the value in the centre of a given set of numbers or statistics. There are three main measures in mathematics that are used to calculate the average value for a given group of integers. They are the mean, the median, and the mode. These three indicators are known as central tendency measures. Mean computes the average value of the provided data. A median defines the midway value of the provided data. Mode defines the repeating value of the input data.
Now,
As, A box plot is a very visual means of displaying a concise overview of one or more sets of data. It is especially handy for quickly summarising and comparing several sets of findings from various trials. A box plot, at a glance, gives a graphical representation of the distribution of findings as well as indicators of symmetry within the data.
and it can handle a large set of data.
Hence,
Box plot, because the median can easily be determined from the large set of data.
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Answer:box plots
Step-by-step explanation:
i did it
Help with QUESTION 9 AND 11:
Answer:
Step-by-step explanation:
9.
f(x)=x²-10x+3
=x²-10x+25-25+3
=(x-5)²-22
vertex is (5,-22)
it has horizontal tangent at (5,-22)
or
f(x)=x²-10x+3
f'(x)=2x-10
it has horizontal tangent where 2x-10=0 or x=5
f(5)=5²-10(5)+3
=25-50+3
=-22
it has horizontal tangent at (5,-22)
on sundays tucker pickes up donuts for his family.he take $25 with him and a box of dozen donuts cost $6.50 fill in the equation thats represent the relationship between how much money tucker brought and how many boxes of donuts (d) he can buy
The number of boxes of donuts he can buy is 3.
What is an expression?An expression contains two variables or numbers with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
A box of dozen donuts costs = $6.50
Amount taken = $25
The number of boxes of donuts he can buy.
= 25 ÷ 6.50
= 3.85
Thus,
The number of boxes of donuts he can buy is 3.
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What is the exact measure of an angle whose measure is 18° in radians?
pi over 18
18π
pi over 10
pi over 5
The exact measure of an angle whose measure is 18° in radians is; pi over 10.
What is the radian measure of 18°?Recall, it follows from angle measurements that;
π radians ==== 180°
Hence, it follows from proportion that the measure of 18° in radians, x can be determined as follows;
x = 18 π radians / 180
x = π / 10 radians.
Ultimately, the required measure of 18° in radians as required is; π / 10.
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There are marbles of four different colors in a bag. The
ratio of red to white to blue marbles is 3:4:5. There are half
as many green marbles as there are blue marbles. What is
the least possible number of marbles in the bag?
(A) 12
(B) 24
(C) 29
(D) 58
Answer:
(C) 29
Step-by-step explanation:
I am equivalent to. The sum of my numerator and my denominator is 30. The difference between my denominator and my numerator is 6. What fraction am i?.
If I am equivalent to 3/2, and sum of my numerator and my denominator is 30. Then, i am a fraction is equals to the 18/12.
I am equivalent to 3/2. Let us assume i am a fraction x/y. That is my denominator of fraction = y
My numerator of fraction = x
Now, according to problem, sum of my numerator and my denominator is 30.
=> x + y = 30 --(1)
Also, difference between my denominator and my numerator is 6.
=> y - x = 6 or -y + x = 6 --(2)
Add eqution(1) and (2)
=> x + y + y - x = 30 + 6 or x + y +x - y = 30 + 6
=> 2y = 36 or 2x = 36
=> y = 36/2 or x = 36/2
=> y = 18 or x = 18
Now, when y = 18 => x = 30 - 18 = 12
similarly, x = 18 , => y = 12
so, possible fraction are 12/18 = 2/3 or 18/12 = 3/2, but my fraction is equivalent to 3/2 not 2/3. Therefore, the required fraction is 18/12
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Complete question :
I am equivalent to 3/2 . The sum of my numerator an my denominator is 30 . The difference between my denominator and my numerator is 6 . What fraction am I?
help with this :) 25 point
Answer:
76°
Just know that angles on the parallel sides always add up to 180°
At sunrise the distance from the top of the Great Sphinx in Egypt to the end of its shadow is measured to be 220 ft. The distance from the top of the head of a 6 ft-tall person who is standing next to the Sphinx to end of their shadow is measured to be 20 ft. How tall is the Great Sphinx? 100 points + brainliest
70.0 ft
66.0 ft
733.3 ft
54.5ft
Answer:
132ft
Step-by-step explanation:
The height of the Great Sphinx can be found by using the relationship between the height of an object, the length of its shadow, and the angle of elevation of the sun.
Let h1 be the height of the Great Sphinx and h2 be the height of the person. We know that the length of their shadows are 220 ft and 20 ft, respectively.
Since the sun is at the same elevation for both objects, we can set up the following proportion:
h1/220 = h2/20
Cross multiplying, we get:
h1 = (h2 * 220) / 20
Plugging in h2 = 6 ft, we get:
h1 = (6 * 220) / 20 = 132 ft
So, the height of the Great Sphinx is approximately 132 ft.
Thus, the correct answer is 132 ft, which is not in the options provided, but it is a reasonable estimate of the height of the Great Sphinx.
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 41, 43, 49.5, 56, and 58 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
Which value does 50% of the data lie above, and what is it called?
58, the median
56, the upper quartile
43, the lower quartile
49.5, the median
The 50% of the data lies above is 49.5. it is called the median.
What is the upper quartile?
Assume that Q₃ represents the upper quartile, which is the median of the data set's upper half. In contrast, Q₁ represents the median and lower quartile of the lower half of the data set. The median is Q₂. Consider a data set that contains n items. The quartiles are then provided by:
Q₁ = [(n+1)/4]
Q₂ = [(n+1)/2]
Q₃ = [3(n+1)/4]
this item
The 50% of the data is median.
The formula of median is
(n+1)/2 th term
The given data is 41, 43, 49.5, 56, and 58.
The number of items is n = 5.
The median of the data is (5+1)/2 the term = 3rd term.
The third term of the data is 49.5.
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Please help with this question I can’t seem to solve it
Answer:
X Y
0 0
2 -3
Step-by-step explanation:
The slope should look like this photo.
Find the number of positive integers that satisfy both the following conditions:
* Each digit is a 1 or a 2 or a 3
* The sum of the digits is 4.
The number of positive integers that satisfy the conditions is 4
What is positive integer?The positive integers are the natural numbers or also called counting numbers. These integers are also sometimes denoted by Z+. The positive integers lie on the right side of 0 on a number line. Z+ → 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25,
To satisfy positive integers that will have sum of four with a 1, a 2 or a 3
The integers are
13
31
112
211
therefore there are only 4 positive integers that have sum of 4 with a 1 , a 2 and a3
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One model of cars comes with 4 choices
of audio systems, 2 choices of roof
styles (with or without moon roof), and
3 choices of seat covers (cloth, vinyl, or
leather). How many different car
ala
models does a customer have to choose
from if the customer can choose one
10
type of audio system, one style of roof,
and one type of seat cover
A customer has 4 x 2 x 3 = 24 different car models to choose from if the customer can choose one type of audio system, one style of roof, and one type of seat cover.
How do I solve this problem using the Rational Zeroes Theorem?
1) Find the real number solutions of the following polynomial equation:
f(x) = 4x^5 - 40x^3 + 36x
Answer:
Step-by-step explanation:
The Rational Zeroes Theorem states that if a polynomial equation has a rational solution (a solution that can be expressed as a fraction of two integers), then that rational solution must be of the form p/q, where p is a factor of the constant term (in this case 36) and q is a factor of the leading coefficient (in this case 4).
Step 1: Find the factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step 2: For each factor of 36, divide it by each factor of 4 to get a list of possible rational solutions.
Step 3: Test each of the possible rational solutions by plugging them into the polynomial equation and seeing if they make the equation equal to zero. If a solution makes the equation equal to zero, it is a root of the polynomial.
Step 4: Once you have found all of the roots of the polynomial, you can use them to write the polynomial in factored form.
Note: This method only works for polynomials with real coefficients and will only give you the real solutions of the equation. If the polynomial has complex solutions, you will need to use a different method to find them.
A function is given.
g(x) = 1 −
3
4
x; x = −4, x = 3
(a) Determine the net change between the given values of the variable.
(b) Determine the average rate of change between the given values of the variable.
On solving the provided question, we can say that the function is
and f(-2) = -13 and f(0) = 3
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
the function is
= 3 - 4(4)
= 3 - 16
=-13
= 3 - 4(0)
= 3 - 0
= 3
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Luis compro un refrigerador de 7827.40 si va a pagar el 15%IVA ¿cuánto le cobraron en total?
Luego de el 15% de iva, el precio será 9001.51
¿Cuánto le cobraron en total?Si le aplicamos un incremento de un porcentaje x a un precio P, entonces el nuevo precio será:
P' = P*(1 + x)
Donde x es el porcentaje en forma decimal.
En este caso tenemos un 15% de IVA, entonces x = 0.15
Y el precio original es 7827.40
Entonces el nuevo precio será:
P' = 7827.40*(1 + 0.15) = 9001.51
Esa es la cantidad que Luis pago.
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Your friend begins to divide the numerator and denominator
12
by 4 and then gets stuck. Explain why your friend gets stuck.
Answer:
maybe your friend gets stuck because youre not supposed to divide the denominator, only make a common one by multiplying one or both untill they are the same. Least common multiples
The given tessellation formed by two or more regular polygons is shown.
Square , triangle and hexagon are the type of regular polygons that surround each vertex.
The angles are 60° , 90° , 90° , 120° .
From the given figure , it can be concluded that ,Square , triangle and hexagon are the type of regular polygons that surround each vertex.
Since , at each vertex they are one triangle , two squares and one hexagon therefore we can say that
The number of angles are 60° , 90° , 90° and 120°.
The tessellation is possible because the sum of measures of all angles that come together at the vertex is 360°
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PLEASE HELP
Draw a pie chart for the given data:
Rugby Team
England
France
Ireland
Scotland
Wales
Frequency
20
5
15
25
25
Step-by-step explanation:
you draw a circle ⭕ then you do lines inside the circle the you write the numbers aside
The dimensions of a rectangular pyramid are shown.
6, feet. 8, feet. 4, feet.
What is the volume of this rectangular pyramid in cubic feet?
The volume of the rectangular pyramid is 64 cubic feet.
What is a rectangular pyramid?A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.
The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.
The volume of a rectangular pyramid is given as:
V = (l)(b)(h) / 3
V = (6)(8)(4) / 3
V = 192 / 3
V = 64 cubic feet.
Hence, the volume of the rectangular pyramid is 64 cubic feet.
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The correct question is:
Determine the type of triangle that is drawn below.
Answer: Scalene Right
Step-by-step explanation:
None of the side lengths are equal and there's a 90 degree angle
Location Number Percent
Illinois 669,000 24%
Indiana 419,000 27%
Iowa 141,000 20%
Kentucky 307,000 31%
Michigan 556,000 26%
Missouri 352,000 26%
Ohio 678,000 26%
Wisconsin 266,000 21%
a. Use Excel functions to find the mean, median, mode, maximum, and minimum descriptive statistics for
the number column of the table. Clearly label these values in Excel.
b. Use Excel functions to find the mean, median, mode, maximum, and minimum descriptive statistics for
the percent column of the table.
c. Write a paragraph about your findings regarding the statistics on children whose parents do not have
secure employment. Make sure to answer the following in your paragraph: How does the state of
Indiana compare to the surrounding states? Which state has the best or worst data (explain your
reasoning)? Which value gives a better comparison, the number or the percentage (explain your
reasoning)?
Answer: I can explain the steps for calculating descriptive statistics for the given data.
For the "number" column:
Mean: To find the mean, add up all the values and divide by the number of values.
Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.
Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.
Maximum: To find the maximum, find the largest value in the list.
Minimum: To find the minimum, find the smallest value in the list.
For the "percent" column:
Mean: To find the mean, add up all the values and divide by the number of values.
Median: To find the median, arrange the values in numerical order and find the middle value. If there is an even number of values, take the average of the two middle values.
Mode: To find the mode, find the value that appears most frequently. If there is no value that appears more than once, then there is no mode.
Maximum: To find the maximum, find the largest value in the list.
Minimum: To find the minimum, find the smallest value in the list.
Regarding the statistics on children whose parents do not have secure employment, it can be determined how each state compares to the surrounding states by comparing the mean, median, and mode of the "number" and "percent" columns. The state with the best or worst data can be determined by comparing the maximum and minimum values in each column. The value that gives a better comparison would depend on the purpose of the analysis. If the goal is to understand the overall number of children affected, then the "number" column would be more appropriate. If the goal is to understand the proportion of children affected in each state, then the "percent" column would be more appropriate.
Step-by-step explanation:
n the blanks below.
Find the slope of the line passing through the points (8, -4) and (8, -7).
slope:
Find the slope of the line passing through the points (-3, -9) and (-3, 9).
slope:
The slope of the line passing through the points (8, -4) and (8, -7) is undefined.
The slope of the line passing through the points (-3, -9) and (-3, 9) is undefined.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Substituting the given data points into the slope formula, we have the following;
Slope, m = (-7 - (-4))/(8 - 8)
Slope, m = (-7 + 4)/0
Slope, m = -3/0
Slope, m = undefined.
Since the change in the x-axis equals to zero, the slope of the two lines are undefined:
Slope, m = (9 - (-9))/(-3 - (-3))
Slope, m = 18/0
Slope, m = undefined.
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Simplify imporper fractions as mixed number 14 1/4 -10 3/7 =
The value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex] is 107/28.
What is Fraction?A fraction represents a part of a whole.
The given expression is [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]
A proper fraction is a fraction that has no whole number part and its numerator is smaller than its denominator.
An improper fraction is a fraction that has a larger numerator than denominator and it represents a number greater than one.
[tex]14\frac{1}{4}[/tex] to improper fraction is 57/4
[tex]10\frac{3}{7}[/tex] to improper fraction is 73/7
Now 57/4-73/7 we have to solve
LCM of 4 and 7 is 28
399-292/28
107/28
Hence, 107/28 is the value of the expression [tex]14\frac{1}{4} -10\frac{3}{7}[/tex]
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A rectangular garden 12 feet by 16 feet has a stone path along the perimeter with the same width, w. The area of the garden and path is 420 square feet.
The correct equation to find the width, w, of the stone path would be: Option B. (2w+12) (2w+16) = 420
This is because the area of the garden and path is equal to the area of the rectangle with dimensions (12+2w) and (16+2w). Therefore, we can set up the equation:
(12+2w)(16+2w) = 420
Expanding and simplifying, we get:
4w² + 56w - 204 = 0
Dividing by 4, we get:
w² + 14w - 51 = 0
Factoring, we get:
(w+17)(w-3) = 0
Since the width of the path cannot be negative, the only valid solution is w = 3.
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Complete question is in the image attached
The circle below is centered at the origin and has a radius of 8. What is its
equation?
The equation of a circle centered at the origin that has a radius of 8 is: D. x² + y² = 64.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.Substituting the given points into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 0)² = 8²
x² + y² = 64.
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Point Q is located at (−6,−1) on the coordinate plane. Point Q is reflected over the x-axis to create point Q' Point Q' is then reflected over the y-axis to create point Q'' What ordered pair describes the location of Q''?
Answer:
(6, 1)
Step-by-step explanation:
When a point is reflected over the x-axis, its y-coordinate changes sign. When a point is reflected over the y-axis, its x-coordinate changes sign.
So, when point Q, located at (-6,-1), is reflected over the x-axis to create point Q', the new point has the same x-coordinate and a y-coordinate of -1 to 1 = 1. So, Q' is located at (-6, 1).
Next, when Q' is reflected over the y-axis to create Q'', the new point has the same y-coordinate and an x-coordinate of -6 to 6 = 6. So, Q'' is located at (6, 1).
So, the ordered pair that describes the location of Q'' is (6, 1).
Find a polynomial function of degree 4 with the zeros -3 (multiplicity 2) and 3 (multiplicity 2), whose graph passes through the point (-4,245).
The polynomial function of degree 4 is,
⇒ f (x) = 5 (x + 3)² (x - 3)²
What is mean by Function?Relation between set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable and another variable.
Given that;
Zeroes of function is,
⇒ -3 (multiplicity 2) and 3 (multiplicity 2),
And, It passes through the point (-4,245).
Now, The polynomial function of degree 4 is,
⇒ f (x) = A (x - (- 3))² (x - 3)²
⇒ f (x) = A (x + 3)² (x - 3)²
Since, It passes through the point (-4,245).
Hence, Put x = - 4, y = 245
⇒ 245 = A (- 4 + 3)² (- 4 - 3)²
⇒ 245 = A (- 1)² (- 7)²
⇒ 245 = A × 49
⇒ A = 245/49
⇒ A = 5
Thus, The polynomial is,
⇒ f (x) = A (x + 3)² (x - 3)²
⇒ f (x) = 5 (x + 3)² (x - 3)²
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An angler catches a fish that weighs 20 kg. The fish’s bones make up approximately 10% of the fish’s total weight. What is the weight of the fish meat, not including the bones, in pounds? Round to the nearest tenth if necessary.
44.0
40.0
39.6
4.4
4.0
Answer: approximately 40lbs.
Step-by-step explanation:
First, you multiply 20kg to 10%, or 0.10.
20(0.10)=2kg
Then you minus the 2kg from the initial weight
20kg
-2kg
18kg
1 kg is approximately 2.20462262 lbs., so you need to convert your kg to lbs
18kg * 2.20462262 lb/kg = 39.68320716 which is rounded up to approximately 40lbs
Hope that helps!
