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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413.33 The 3 in the hundredths place is _____ times the value of the 3 in the tenths place.
Answer:
The value of the 3 in the tenths place is 10 times the value in the hundredths place
Step-by-step explanation:
Ok
5. A rock is dropped off of a bridge that is 50 feet above a river. How long will it take the rock to hit the
water? (Hint: remember, the initial velocity is zero),
PLEASE HELP ME WITH PROBLEM C
1) The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average rate of 3/4 feet per year.
a) Write an equation in Slope-Intercept form to represent the growth of the trees over time. Let x represent the number of years and let y represent the height (in ft.) of the tree.
Y=3/4x+3
b) What does the y-intercept represent in your equation
Y=3. 3 stands for feet tall
c) Determine the height of the tree in 3 years.
a) To write an equation in slope-intercept form to represent the growth of the Magnolia trees over time, we can use the formula y = mx + b, where x represents the number of years, y represents the height of the tree in feet, m represents the slope (or rate of growth) of the tree, and b represents the y-intercept (or the height of the tree at x = 0).
In this case, the slope (m) of the tree is 3/4 feet per year and the y-intercept (b) is 3 feet, as the trees are initially 3 feet tall when they are purchased. Plugging these values into the formula gives us:
y = (3/4)x + 3
This equation represents the growth of the Magnolia trees over time.
b) The y-intercept of an equation in slope-intercept form represents the value of y when x is equal to 0. In this case, the y-intercept of the equation y = (3/4)x + 3 is 3 feet. This means that when x is equal to 0 (when no years have passed), the height of the tree is 3 feet.
c) To determine the height of the tree in 3 years, we can substitute 3 for x in the equation y = (3/4)x + 3 and solve for y. This gives us:
y = (3/4)(3) + 3
= 9/4 + 3
= 21/4
= 5.25 feet
Therefore, the height of the tree in 3 years is approximately 5.25 feet.
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Answer:
Volume are over 120-177 because the layers are communicate each factors and angles..
Step-by-step explanation:
both 6 have 3 factors
A are for equation
5 centimeters are not allowed to communicate with other lessons and Numerator numbers...
HOPE IT HELPS!!
3)I NEED HELP FAST
Beth cuts a green apple into 6 slices. She ate 5 slices and gave 1 slice to her sister,
Eva. What fraction of the apple did Eva receive?
Answer:
uhhh ima guess 1/2
Step-by-step explanation:
because 6-5 is 1 and 1 is 1/2 in fractions ig
What's the fewest number of people in a room where it's probable (>50%) that a pair of them share a birthday
There is a probable (>50%) that two people in a room with 23 people will share the same birthday.
What is probability?Probable means likely to occur or prove true, or having more evidence for than against, or evidence that inclines the mind to belief but leaves some room for doubt, or affording ground for belief.
Even while it may appear odd that only 23 people are needed to achieve a 50% likelihood of a shared birthdate, this conclusion is made more logical by keeping in mind that birthday comparisons will be done between all potential pairs of people.
There is a 50% chance that two people in a room with 23 people will share the same birthday. Though it may seem strange, it is mathematically accurate.
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The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours
Over the course of the three hours, 41.25 gallons of water passed through the pipe in total.
We know that the rate of flow for the first hour was 50% slower than the rate of flow for the second hour. So, if the rate of flow in the second hour was 15 gallons per hour, the rate of flow in the first hour would be:
15 gallons/hour * (100% - 50%) = 15 gallons/hour * 50% = 7.5 gallons/hour
We also know that 25% more water flowed through the pipe in the third hour than in the second. So the rate of flow in the third hour would be:
15 gallons/hour * (1 + 25%) = 15 gallons/hour * 1.25 = 18.75 gallons/hour
To find the total number of gallons of water that flowed through the pipe during the entire three hours, we can multiply the rate of flow for each hour by the number of hours:
First hour: 7.5 gallons/hour * 1 hour = 7.5 gallons
Second hour: 15 gallons/hour * 1 hour = 15 gallons
Third hour: 18.75 gallons/hour * 1 hour = 18.75 gallons
Adding these values we can find the total amount of water that flowed through the pipe during the entire three hours
7.5 gallons + 15 gallons + 18.75 gallons = 41.25 gallons
So, in total 41.25 gallons of water flowed through the pipe during the entire three hours.
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Find the value of x. Round to the nearest tenth.
x
15.3
37°
help me asap
Answer:
x ≈ 25.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin37° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15.3}{x}[/tex] ( multiply both sides by x )
x × sin37° = 15.3 ( divide both sides by sin37° )
x = [tex]\frac{15.3}{sin37}[/tex] ≈ 25.4 ( to the nearest tenth )
A farmer is using a random sample to predict the number of broken eggs in a shipment of 3,000 eggs. Using a calculator, the farmer generates the following random numbers. The numbers 1-250 represent broken eggs. 477 2,704 2,116 900 1,044 238 81 1,672 619 187 755 1,509
Based on this sample, how many broken eggs might the farmer expect?
Answer:
238
Step-by-step explanation:
48% of student in a school are girls. a student is picked at random.what is the probability that a boy is picked
Answer:
0.52
Step-by-step explanation:
From the above question:
48% of students in a school are girls.
Let the total percentage of students = 100%
The percentage representing boys = 100% - 48% = 52%
Hence, the probability that a boy is picked = P(boy) = Percentage of boys/ Total percentage
P(boy) = 52%/100%
= 0.52/1
= 0.52
Therefore, the probability that a boy is picked is 0.52
I’m doing homework and this may be easy for others but I’m not that good at learning quickly. Take ur time it’s fine. Please help
the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.
Check the picture below.
to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table
[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]
1. Why is line AC congruent to line CB in the diagram below?
Answer:
They are both identical triangles with the same angles and lenght which means they are congruent and so their hypotenuses lines AC and CB are also congruent.
Step-by-step explanation:
Hope this helps
Answer:
they are congruent because they are on a perpendicular line
Graph the following system of inequalities
Answer:
dbhfjdbbfnfkdnnslskdkdlpxskndndmxlxnd
Step-by-step explanation:
dbndndkekdldpdkdelskndnflspdldnnenwoqpcnnspshkdhfbeodbsogbsobdjdbjwiwjbfjdongnfffdadw
The product of 15 and a number has a result in 15 what is the number
1
Step-by-step explanation:To find an unknown number we can use properties of equality.
Algebraic Method
Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.
We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.
To find x, divide both sides by 15.
x = 1Identity Property of Multiplication
Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:
a * 1 = aThis means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.
The points (14, –3) and (–10, –3) fall on a particular line. What is its equation in slope-intercept form?
y = -3
Step-by-step explanation:Slope intercept form is y = mx + c.
"m" is the slope and "c" is the y-interecept.
The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.
This means y = 0x + c
You can substitute 14 for y and -3 for x from the first point to get:
-3 = 0(14) + c
-3 = c
y = 0x + -3
Which is the equation of the line in slope-intercept form.
This is the same as saying y = -3, as for every x value, y will always be -3.
Solve the system of equations.
x + y + z = 9
-2x + y + 2z = 3
x - 4y - z = 2
Answer:
(4,-1,6)
Step-by-step explanation:
x=4
y=-1
z=6
Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
The question is incomplete. The complete question is :
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere. A sphere with height h and radius r. A cylinder with height h and radius r. Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?
Solution :
Amie should have multiplied 54 by two-thirds.
Given that sphere and the cylinder have the same radius as well as same height. The volume of the cylinder is 54 inch cube.
Volume of the sphere = [tex]$\frac{4}{3}\pi r^3$[/tex] .......... (i)
Volume of cylinder = [tex]$\pi r^2h$[/tex] ....................(ii)
Therefore, the ratio of sphere volume to cylinder volume is,
[tex]$\frac{4}{3}\pi r^3 : \pi r^2 h$[/tex] ......(iii)
Divide both the sides by [tex]$\pi r^2$[/tex] , we get
[tex]$\frac{4}{3} \ r : h$[/tex] ..........(iv)
We know that the height of the sphere = diameter of the sphere
The diameter of the sphere is D = 2r
Also the sphere height = cylinder height
So, the height of the cylinder = 2r
Therefore, substituting the height of the cylinder as 2r that is represented as h in equation (iv) is given by :
[tex]$\frac{4}{3} \ r : 2r$[/tex] .............(v)
Now dividing both the sides by 2r, we get
[tex]$\frac{2}{3} : 1$[/tex] ..................(vi)
Thus for equation (vi), we see, sphere volume = [tex]$\frac{2}{3}$[/tex] of the cylinder volume
∴ sphere volume = [tex]$\frac{2}{3}\times 54$[/tex]
= 36 meter cube
Thus, Amie should have multiplied 54 by [tex]$2/3$[/tex] .
What is the area of the red region?
Answer:
Exact: A = (3.28 + 8π) cm²
Approximate: A = 57.13 cm²
Step-by-step explanation:
The right part of the red figure is a rectangle which is half of the square.
The left half of the red figure is a semicircle.
A = LW + ½πr²
A = (4 cm)(8 cm) + ½(π)(4 cm)²
A = (32 + 8π) cm² (exact)
A = 57.13 cm² (approximate)
a parallelogram shaped patio has a rectangular rug in the middle jwhat is the area of the patio around the rug?
Answer:
12" 15"
Step-by-step explanation:
Annie round $280. 05$ to the nearet hundred. Bobby round $280. 05$ to the nearet ten. Ciro round $280. 05$ to the nearet integer. Denie round $280. 05$ to the nearet tenth. What i the um of Annie' anwer, Bobby' anwer, Ciro' anwer, and Denie' anwer?
The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.
What is rounding off the numbers?A number is simplified when it is rounded off, preserving its value while moving it closer to the next number. It is done for whole numbers as well as decimals at various places of hundreds, tens, tenths, etc.
If the number following the decimal is between 0 and 4, a number may be rounded off to its lowest value. If the number after it is between 5 and 9, the number will be rounded off to a greater value.
Annie rounds $ 280.05 to the nearest hundred
$ 280.05 will be equal to $ 300
Bobby rounds $ 280.05 to the nearest ten
$ 280.05 will be equal to = $ 280
Ciro rounds $ 280.05 to the nearest integer
$ 280.05 will be equal to = $ 280
Denise rounds $ 280.05 to the nearest tenth
$ 280.05 will be equal to = $ 280.1
Then, the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer = $ 300 + $ 280 + $ 280 + $ 280.1 = $ 1140.1
Therefore,
The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.
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At a benefit concert, fifteen bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
On solving the provided question, we can say that - he need 56 answers he need to get correct if he want a grade of 80 percent on a test with 70 questions
what is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.
Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56 Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.
So, the maximum number of questions you may omit is 14. As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.
20% of 70
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x=2
Use Desmos to create a graph
of the equation. Copy and paste
a copy of the graph below:
Answer:
Step-by-step explanation:
what is the greatest common factor of two numbers is 4. The sum of the numbers is 76. What are the two numbers?
Answer:
4 and 72
Step-by-step explanation:
Answer:
4 and 72 !
Step-by-step explanation:
Find the area of this circle. Use 3.14 for pie?
Answer:
3.141592658
Step-by-step explanation:
find the total surface area of this triangular prism
The surface area of the triangular prism is 156cm² when the triangle sides are 8cm and 15 cm rectangle sides are 17cm and 2 cm.
Given that,
We have to find the total surface area of the triangular prism in the given picture.
We know that,
First, we need to calculate the area of the triangle
a = area of triangle
a = 1/2 ×15 cm × 8 cm
a = 60 cm²
Now,
We must determine the three rectangles' areas.
a₁ = 2cm × 17cm
a₁ = 34cm²
a₂ = 2cm × 15cm
a₂ = 30cm²
a₃ = 2cm ×8cm
a₃ = 16cm²
Now, we must multiply the triangle by two and sum all the estimated areas.
a₁ + a₂ + a₃ + 2a =60cm² + 34cm² + 30cm² + 2 × 16cm² = 156cm²
Therefore, The surface area of the triangular prism is 156cm² when the triangle sides are 8cm and 15 cm rectangle sides are 17cm and 2 cm.
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PLEASE HELP YOU WILL GET BRAINLIEST!
Answer:
supplementary, complementary, acute 45, supplementary, x=10
Step-by-step explanation:
I need help ASAP plsss
Answer:
a) B
b) C
Step-by-step explanation:
what is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Answer:
[tex]speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour[/tex]
Marking brainliest
Please help
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
B.
hope this helps
have a good day :)
Step-by-step explanation: