REmember that
the surface area of a cylinder is equal to
SA=2(pi)r^2+2(pi)(r)(h)
we have
r=3 yd
h=12 yd
substitute
SA=2(pi)3^2+2(pi)(3)(12)
SA=18pi+72pi
SA=90pi yd2
SA=282.7 yd2The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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Working Out (YOU TRY IT)
Choose a person aged 19 to 25 years at What is the mean number of days
random and ask, "In the past seven days, workedout?
how many times did you go to an exercise
or fitness center or workout? Let Y be the
number of days worked out. Below is the
probability distribution of Y.
Submit
Calculate and interpret the standard
deviation of Y.
2
5
7
1
0.05
The standard deviation is...
Days, Y 0
Probability 0.68
PLY)
3
0.08
4
0.05
0.07
0.04
0.01
0.02
(X-
)^2 *
X-P
(X - )^2
The variance is...
P(x)
Answer: the mean is 1.03
Step-by-step explanation: you multiple the days by the probability, 0 x .68= 0 1 x .05=.05 2 x .07=.14 and so on and you add what you get from multiplying them.
changing tne value of m in f(x)=mx+b resulst in a (translation or rotation) of the graph
?????
Answer:
Rotation
Step-by-step explanation:
The function \(f(x)=mx+b\) , is the equation of a line given in slope-intercept form. Where m is the slope of the line and b is the y-intercept of the line. If you were to change the value of m, while keeping the value of b the same, that would result in a rotation. If you were to change the value of b, while keeping the value of m the same, that would result in a translation (specifically a vertical translation).
Use the given cost table for the same product from two different companies to create a linear syst
Then solve the system to determine when the cost of the product will be the same and what the
be.
Two online retailers sell organic vanilla extract by the ounce using the following pricing chart.
Vanilla Extract (oz)
Chef Mate
c)
Grocery Gourmet
gla)
2
$13.50
$24.00
3
$18.25
$28.00
4
$23.00
$32.00
5
$27.75
$36.00
gin)
Both Chef Mate and Grocery Gourmet charges
for
ounces of vanilla extract.
Answer:
209 and 369 that's the answer
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answer:
( -6 , 0 )
Step-by-step explanation:
the other one would be ( 3 , 0 ) but hope this helps !!
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
The diagram shows the height of a cone that holds ice cream. The cone has a volume of 4.5 π cubic inches. Which measurement is closest to the radius of the cone in inches?
On solving the query we can say that The slant height, along with the function cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
You are informed that the cone in this scenario has a volume of 4.5 cubic inches. Using the aforementioned calculation, you can determine the radius if you know the cone's height.
Alternately, you may use the Pythagorean theorem to calculate for the radius if you know the cone's slant height. The slant height, along with the cone's height and radius, makes a right triangle as it measures from the apex to a certain point on the circular base.
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A hawk was 2 feet above the surface of the water. The hawk then flew down 5 feet to catch a fish. How many feet
below the surface of the water was the hawk?
Answer:
3 feet below the surface
Step-by-step explanation:
2 - 5 = -3
3х 4 = 3
what is the value of x?
Answer:
1/3
Step-by-step explanation:
transfer 4 to the other side then the sign will be minus
then divide 1 by 3
Answer:
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in
0 for x and solve for y.
x-intercept(s):
(43,0)
y-intercept(s):
(0,4)
Step-by-step explanation:
hope this helps!
(Sorry if it doesn't)
:)
Plz hurry and DONT give me a link
The point (-5, 6) is located in which quadrant?
8
6
4
ND
2
-9 -6 -4
-4-2
2
4
8 8 x
-4
-6
-8
O Quadrant !
Quadrant Il
0 Quadrant III
Quadrant IV
Answer:
Quadrant II
Step-by-step explanation:
(-5,6)
The x coordinate is negative so the quadrant is either 2 or 3
The y coordinate is positive so the quadrant is either 1 or 2
To make both happen, it must be in quadrant 2
Quadrant II
There are 4 roses in a vase of 13 flowers the rest are daisies what is the ratio of all flowers in the vase to daises
Answer:
The ratio is 13:9
Step-by-step explanation:
Since the rest of the flowers in the vase are daisies, subtract the 4 roses from the 13 flowers. 13 - 4 = 9
There will be 9 daisies in the vase in total. Then they are asking for you to put the ratio of the total flowers to the daisies.
Total Flower = 13
Daisies = 9
The ratio would be 13 to 9.
The ratio of all flowers in the vase to daises is \(13:9\)
Let the flowers be F.Let the daisies be D.Given the following data:
Number of roses = 4 rosesNumber of flowers = 13 flowersTo determine the ratio of all flowers in the vase to daises:
First of all, we would solve for the number of daisies in the vase of flowers.
\(Number\;of\;daisies = 13-4\)
Number of daisies = 9 daisies.
Now, we can find the ratio of all flowers in the vase to daises:
\(Ratio = F:D\\\\Ratio = 13:9\)
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consider the two triangles. to prove that the triangles are similar by the sas similiarity theorem it needs to be shown that
The triangles are similar by the sas similarity theorem.
What is similarity of triangle?The similarity theorem for tri angles states that if two triangles have the same shape, then their corresponding angles are equal and their corresponding sides are proportional.
More specifically, if we have two triangles, Triangle ABC and Triangle DEF, such that:
Angle A = Angle D
Angle B = Angle E
Angle C = Angle F
And also, their corresponding sides are proportional:
AB/DE = BC/EF = AC/DF
Then, we can say that Triangle ABC is similar to Triangle DEF. This means that these two triangles have the same shape and they are only different in size.
The similarity theorem is important in geometry, as it allows us to determine unknown side lengths or angle measures of similar triangles by using proportions. It is also useful in real-life situations where we need to determine the size of objects that are not directly measurable
To prove that two triangles are similar using the SAS (Side-Angle-Side) similarity theorem, you need to show that:
Two pairs of corresponding sides are proportional (have the same ratio).
The included angles (the angle between these two pairs of corresponding sides) are congruent.
So, for the SAS similarity theorem to apply, you need to have two triangles where two pairs of corresponding sides are proportional and the included angle between these sides is congruent. If these conditions are met, then the triangles are similar.
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I need help with this please
The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.
What is a line plot?In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.
Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:
Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)
Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)
Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8
Total sugar consumed = 22/8 + 1/4
Total sugar consumed = (22 + 2)/8
Total sugar consumed = 24/8
Total sugar consumed = 3 units of sugar.
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help!!!! PLEASEEE!!!
Answer:
it is a little blurry I cannot tell what d is
4/1=8/2,so 8 cups = quarts
Answer:
8 cups eqaul 2 quarts
Step-by-step explanation:
i need help with these questions
Answer:
1)10 months 2) 40 cm 3)8in
Step-by-step explanation:
1)1year =12 months
5/6year=?months
cross multiply
5x2=10
------
6x2=12
answer 12months
2)100cm in a meter
100divided by 5=20
1/5=20cm
2/5=40cm
answer:40 cm
3)12in in a foot
12divided by 3=4
1/3=4in
2/3=8 in
answer=8 in
thats all the time I have for now bye
the functio f(x)=square root is translated using the rule (x,y) --> (x-6,y+9) to create A(x). which expression describes the range of A(x)?
Answer: Range is \(y \ge 9\)
Explanation:
The range of \(f(x) = \sqrt{x}\) is \(y \ge 0\)
In other words, it's the set of nonnegative real numbers.
We only focus on the y values. We go from y to y+9, which means we shift each (x,y) point 9 unit sup.
Since we shifted 9 units up, we add 9 to each y value and that effectively moves the lowest point in the range (0) up nine units.
So we go from \(y \ge 0\) to \(y \ge 9\)
If you need the range in interval notation, then you would write \([9, \infty)\). Note the square bracket next to the 9 so we include this as part of the range.
need some help please
Answer:
Ariel ate the most .
Step-by-step explanation:
hope this helps you.
Answer:
dan
Step-by-step explanation:
find the common denomanator= 28
dan 6/7 to the common denomanator is 24/28
ariel 3/4 is 21/28
Line 1 passes through the points (-20, -4) and (-11,-4).
Line 2 is perpendicular to Line 1 and passes through the
point (-17, -14).
What is the equation of Line 2?
something noteworthy is that, the y-coordinate for Line 1 is the same, well that simply means that Line 1 is a horizontal line, anything perpendicular to a horizontal line is simply a vertical line, Check the picture below.
Please help!!
Thankyou!!
The scale factor is: 1.8
because of :
\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)
Brittany asked her classmates: How much time, in minutes, do you spend reading each day? Here are the results: 10, 20, 20, 20, 30, 30, 30, 30, 30, 40, 40, 40, 60, 60, 60 Display the data in a line plot, a histogram, and a box plot. Next to each graph, write down something you notice about the data. Upload your completed plots here.
The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.
Line Plot:
A line plot displays data points on a number line, representing the frequency or count of each value.
In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.
For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.
Histogram:
A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.
The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.
The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.
The height of each bar in the histogram will represent the number of students falling into each interval.
Box Plot:
A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.
The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.
The box will represent the interquartile range (IQR), showing the middle 50% of the data.
The line within the box will represent the median value.
The whiskers will indicate the minimum and maximum values, excluding outliers.
By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.
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Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21 of a foot of ribbon left.
QUESTION: How much ribbon did Ali start with?
The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).
The quantity of ribbon attached to the rearview mirror = 2/7
The remaining quantity of ribbon after the attachment = 10/21
The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)
Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.
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6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many of each kind are there?
I NEED 2 EQUATIONS!!!!!!!
Pls help urgently extra points and mark brainlist
Answer:
the first one
Step-by-step explanation:
3x3=9x3=27
15. Alvin, Simon and Theodore do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 284 hours at the shelter last summer. Alvin worked 15 hours more than Simon. Theodore
worked 6 less than three times as many hours as Simon.
Write and solve an equation that expresses the relationship between the number of hours each person worked last summer and the total number of hours worked. Define the variable used in
your equation. SHOW ALL WORK!!!!
How many hours did each person work?
Answer: Hope this helps ;)
Step-by-step explanation:
Let's define the variables as follows:
A = number of hours Alvin worked
S = number of hours Simon worked
T = number of hours Theodore worked
We know that the total number of hours worked is the sum of the number of hours each person worked, so we can write the equation:
A + S + T = 284
We also know that Alvin worked 15 hours more than Simon, so we can write the equation:
A = S + 15
Finally, we know that Theodore worked 6 less than three times as many hours as Simon, so we can write the equation:
T = 3S - 6
We can substitute the second equation into the first equation to eliminate one of the variables:
(S + 15) + S + (3S - 6) = 284
This simplifies to:
5S = 263
Solving for S, we find that Simon worked 52.6 hours.
Substituting this value back into the equation A = S + 15, we find that Alvin worked 67.6 hours.
Finally, substituting the value of S into the equation T = 3S - 6, we find that Theodore worked 156.8 hours.
Therefore, Alvin worked 67.6 hours, Simon worked 52.6 hours, and Theodore worked 156.8 hours.
Find the area of the composite figure.
Answer:
132 square feet
Step-by-step explanation:
The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.
Find the area of the figure below:
A. 40cm^2
B. 78cm^2
C. 90cm^2
D. 186cm^2
HELP ME PLS ASAP PLS PLZ PLZ PLS
Answer:
78cm^2
Step-by-step explanation:
You'd want to separate the two shapes into a rectangle and triangle. So you'd have one rectangle with one side being 2 and the long side 12. (2 * 12 = 24). Then a triangle with a base of 9 and a height of 12. (9 * 12 = 108 / 2 = 54) Then you add both areas together to get 54 + 24 = 78.
Answer:
B: 78
Step-by-step explanation:
cut it in half into a rectangle and traingle
the rectangles area is 2x12=24
The area of the triangle is 9x12=108 108/2 = 54
then add the 2 areas to get B:78
Hope this helps
Mark brainliest please
Based on this dotplot and the sample of 25 online news readers, which conclusion can be drawn?
Answer:
It is most likely that, out of 25 online readers, between 12 and 13 work in the business industry.
Step-by-step explanation:
Answer:
There is about a 0.046 chance that 9 or fewer online readers work in the business industry. This is unusual and is convincing evidence that less than 50% of online readers work in the business industry.
Step-by-step explanation:
I just took the test, The other person is very wrong!!!
Write your answers in terms of It, and be sure to include the correct units in your answers.
The circumference of the circle is 14π cm.
Definition of a circle's circumferenceA circle's circumference is the length of its perimeter. The circumference of a circle can be calculated using length units such as centimeters, meters, or kilometers by opening a circle and measuring the boundary in the same way that we would measure a straight line.
A circle's or an ellipse's circumference is its perimeter. In other words, the circumference would equal the length of the arc if the circle were expanded up and straightened out to a line segment. The perimeter, in a larger sense, is the length of the curve of any closed form.
A circle with radius r encloses an area called πr². Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159.
Given The radius = 7 cm
C=2πr
=2·π·7
=14π cm
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