Rounding to the nearest hundredth, the area is approximately 151.976 cm².
The formula for the area of a sector is:
A = (θ/360) x πr²
where θ is the central angle in degrees, r is the radius, and π is pi (3.14).
Plugging in the given values, we get:
A = (144/360) x 3.14 x 11^2
A = 0.4 x 3.14 x 121
A = 151.976
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Find the missing side length.
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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Washington DC is the midpoint of Maine and South Carolina. If a town in SC is located at
(-2,-20) and a town in Maine is located at (18,42), what is the distance from the town in SC to Washington DC
The distance from the town in SC to Washington DC is,
⇒ 32.6 units
We have to given that;
Washington DC is the midpoint of Maine and South Carolina. If a town in SC is located at (-2,-20) and a town in Maine is located at (18,42),
Since, We know that;
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
The coordinate for Washington is,
⇒ (18 - 2)/2, (- 20 + 42) / 2
⇒ (8, 11)
The distance from the town in SC to Washington DC is,
⇒ d = √ (8 - (- 2))² + (11 - (- 20))²
⇒ d = √10² + 31²
⇒ d = √100 + 961
⇒ d = √1061
⇒ d = 32.6 units
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Can anyone help me with this <3
Answer:
[tex]3.23*10^{16}[/tex]
Step-by-step explanation:
Just multiply. You have to do:
[tex](1.12*10^7)*(2.88*10^9)\\=3.23*10^{16}[/tex]
The length of a pen is about
Any options to pick from?
Most pens are about 13-14 cm or approx 5.5 inches.
Find the median of each of the following scores
x If | Cumulative Frequency
|--|--
300-309 | 9 | 9
310-319 | 20 | 29
320-329 | 24 | 53
330-339 | 38 | 91
340-349 | 48 | 139
350-359 | 27 | 166
360-369 | 17 | 183
370-379 | 6 | 189
Answer:
332.88
Step-by-step explanation:
To find the median of this data set, we first need to determine the total number of observations. This is given by the last cumulative frequency, which is 189.
Since the total number of observations is an odd number, we can find the median by identifying the middle value. The middle value is the observation that has half the data below it and half the data above it.
To find this value, we can divide the total number of observations by 2:
189 ÷ 2 = 94.5
This means that the median observation falls in the 330-339 range, since the cumulative frequency at the end of this range is 38, which is the smallest cumulative frequency greater than 94.5.
To find the exact median value, we can use the following formula:
Median = L + ((N/2 - CF) / f)
where:
L = lower limit of the median class (in this case, 330)
N = total number of observations (in this case, 189)
CF = cumulative frequency of the class preceding the median class (in this case, 20)
f = frequency of the median class (in this case, 24)
Plugging in the values, we get:
Median = 330 + ((94.5 - 20) / 24)
= 330 + (74.5 / 24)
≈ 332.88
Therefore, the median of the given scores is approximately 332.88.
HELP PLEASE! Fred enrolled in college to pursue a degree in physics. He is told there is a 70% chance that he will get less than 60 on his first test. He is also told if he gets less than 60 on this test, the probability he passes the course is 55%. Otherwise, there is a 70% chance he passes the course. What is the probability he gets more than 60 on the first test, but fails the course? A. 0.12 B. 0.09 C. 0.21 D. 0.30
Step-by-step explanation:
Fred has two possible outcomes on his first test: he either scores less than 60 or he scores 60 or higher.
If he scores less than 60, there is a 55% chance he will pass the course, and a 45% chance he will fail. We know there is a 70% chance he will score less than 60, so the probability that he scores less than 60 and fails the course is 0.7 * 0.45 = 0.315.
If he scores 60 or higher, there is a 70% chance he will pass the course, and a 30% chance he will fail. We don't know the exact probability that he scores 60 or higher, but we know that it is 1 - 0.7 = 0.3 (since there is a 70% chance he scores less than 60). So the probability that he scores 60 or higher and fails the course is 0.3 * 0.3 = 0.09.
Adding these two probabilities together gives us the total probability that Fred gets more than 60 on the first test but fails the course: 0.315 + 0.09 = 0.405. However, we are looking for the probability that he gets more than 60 but fails, so we need to subtract the probability that he scores less than 60 and fails: 0.405 - 0.315 = 0.09. Therefore, the answer is B. 0.09.
i think so...
The population of a city began with 1500 people. After 5 years, the population grew to 3000 people.
Answer:
300 per year??
Step-by-step explanation:
I'm not sure what you're trying to find...I'm guessing it's how many people it grew by per year
3000-1500 is 1500
1500/5 is 300
hope this helped
Create an expression with at least two different operations that has an answer of 14 . Please help me and explain step by step!
Answer:
Step-by-step explanation:
There are many expressions that could have an answer of 14, but here’s one example:
(7 x 2) - 1 = 14
Let’s break it down step by step:
The first operation in this expression is multiplication. We multiply 7 by 2, which gives us 14.
7 x 2 = 14
The second operation in this expression is subtraction. We subtract 1 from the result of our multiplication, which gives us 14.
14 - 1 = 14
So, the final expression is (7 x 2) - 1 = 14, which has an answer of 14.
Keep in mind that there are many other expressions that could have an answer of 14 as well. This is just one example!
Answer:
(49÷7)2=14
(2×3.5)2=14
Step-by-step explanation:
I honestly don't know of this is exactly what our asking for but here are two equations that are equal to 14, hope this helps
write a paragraph of 10 lines where you explain how human actions to the surrounding cause causes health problems
Human actions and behaviors towards our surroundings can have significant implications for human health, leading to the emergence of various health problems.
How can human actions cause health problems ?Our choices and activities encompassing lifestyle, pollution, and resource utilization exert direct impacts on our overall well-being. For instance, our exposure to environmental pollutants, encompassing air and water contaminants, toxic substances, and hazardous waste, can engender respiratory ailments, cancer, and an array of severe health conditions.
Similarly, the degradation of natural habitats, deforestation, and unsustainable practices contribute to the proliferation of infectious diseases, disrupt ecological balance, and undermine the stability of our food systems.
Moreover, unhealthy dietary patterns, sedentary behaviors, and limited access to healthcare services compound the complexities of prevailing health issues.
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3. Given that f(x)=x+2 and g(x)=3x² -1.
What is (fg)(x)?
Answer:
fg(x) = 3x² + 1
Step-by-step explanation:
f(g(x))
f(3x² - 1)
(3x² - 1) + 2
Asher solved the equation below:
4x = 64
4x − 4 = 64 − 4
x = 60
Is Asher's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
your wrong you divide by 4 60/4=15 there
You have a cylinder with a height of 8 centimeters and a radius of 3 centimeters. What is the volume. If you get the answer please add a explantion.
Answer:
The exact volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.
Step-by-step explanation:
The volume of a cylinder can be calculated using the formula:
[tex]\boxed{V = \pi r^2 h}[/tex]
where:
V is the volume.r is the radius.h is the height.Given values:
r = 3 cmh = 8 cmSubstitute the given values into the formula and solve for V:
[tex]\begin{aligned} \implies V&=\sf \pi \cdot 3^2 \cdot 8\\&=\sf \pi \cdot 9 \cdot 8\\&=\sf 72\pi \;cm^3\\&= \sf 226.19\; cm^3\;(2\;d.p.)\end{aligned}[/tex]
Therefore, the volume of the cylinder is 72π cubic centimeters, or approximately 226.19 cubic centimeters to two decimal places.
2) Use the figure to answer the following question.
Unit cube:
What is the volume of the rectangular prism?
cubic unit
0 15
О 20
05
О з
Answer:
15
if you count the length and breadth with the height and multiply them it'll give you 15
Find the perimeter of a field that has length 2/x+1 and width 5/x^2-1
The perimeter of the field is 4x + 6/(x + 1)(x - 1).
Given that a field has a width of 5/x²-1 and the length is 2/x+1,
We need to find the perimeter,
A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle,
Perimeter of a rectangle = 2(l+w)
= 2(5/x²-1+2/x+1)
= 2((2(x-1)+5)/(x + 1)(x - 1)
= 4x + 6/(x + 1)(x - 1)
Hence the perimeter of the field is 4x + 6/(x + 1)(x - 1).
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Help needed! 20 points pls
The number of peanuts in a 16-ounce can of Nut Munchies is normally distributed with a mean of 94 and a standard deviation of 3 peanuts.
(a) Use the mean and standard deviation to label the intervals below the normal distribution below. (Fill in all 7 of the boxes.)
(b) What is the probability that a 16-ounce can of Nut Munchies will contain between 88 and 97 nuts?
(c) What is more likely to happen, for a 16-ounce can of Nut Munchies to have between 88 and 94 nuts, or for the can to have over 97 nuts? How do you know?
The mean and standard deviation are less than 88 peanuts: z = (88 - 94) / 3 = -2
between 88 and 91 peanuts: z = (91 - 94) / 3 = -1
between 91 and 94 peanuts: z = (94 - 94) / 3 = 0
between 94 and 97 peanuts: z = (97 - 94) / 3 = 1
greater than 97 peanuts: z = (97 - 94) / 3 = 1
The probability that a 16-ounce can of Nut Munchies will contain between 88 and 97 nuts is 0.8186, or approximately 82%.
The probability of the former event is 0.4772, which is greater than the probability of the latter event, which is 0.1587.
(a) The intervals below the normal distribution can be labeled using z-scores, which are calculated using the formula:
z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
The intervals and their corresponding z-scores are:
less than 88 peanuts: z = (88 - 94) / 3 = -2
between 88 and 91 peanuts: z = (91 - 94) / 3 = -1
between 91 and 94 peanuts: z = (94 - 94) / 3 = 0
between 94 and 97 peanuts: z = (97 - 94) / 3 = 1
greater than 97 peanuts: z = (97 - 94) / 3 = 1
(b) To find the probability that a 16-ounce can of Nut Munchies will contain between 88 and 97 nuts, we need to find the area under the normal distribution curve between the corresponding z-scores. Using a standard normal distribution table or a calculator, we can find that:
P(88 ≤ X ≤ 97) = P(-2 ≤ Z ≤ 1) = 0.8186
Therefore, the probability that a 16-ounce can of Nut Munchies will contain between 88 and 97 nuts is 0.8186, or approximately 82%.
(c) To determine which event is more likely, we can compare the probabilities of each event. Using the same method as in part (b), we can find that:
P(88 ≤ X ≤ 94) = P(-2 ≤ Z ≤ 0) = 0.4772
P(X > 97) = P(Z > 1) = 0.1587
Therefore, it is more likely for a 16-ounce can of Nut Munchies to have between 88 and 94 nuts than to have over 97 nuts, since the probability of the former event is 0.4772, which is greater than the probability of the latter event, which is 0.1587.
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I NEED HELP SOLVING THIS MATH PROBLEM PLEASE.
The ball's height is 11 meters after approximately 6.83 seconds and 0.17 seconds.
The height of the ball after t seconds is given by the equation h = 1 + 30t - 5t^2. To find all values of t for which the ball's height is 11 meters, we need to solve the equation [tex]1 + 30t - 5t^2 = 11[/tex].
[tex]30t - 5t^2 - 10 = 0[/tex]
[tex]t^2 - 6t + 2 = 0\\\\t = (6 \pm \sqrt{6^2 - 4(1)(2)}) / 2\\\\\t = (6 \pm \sqrt{32}) / 2\\\\t = (6 \pm 4\sqrt2 / 2\\\\t = 3 \pm 2\sqrt2[/tex]
Therefore, the values of t for which the ball's height is 11 meters are approximately 6.83 seconds and 0.17 seconds.
Rounding to the nearest hundredth, we get:
t ≈ 6.83 or t ≈ 0.17
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There are 1000 cubic centimeters and 1 Liters in 1000 cubic millimeters in 1 milliliter. How many cubic millimeters are there in 1000 cubic centimeters
Answer:Set up a proportion, letting = the amount of cubic millimeters in 1,000 cubic centimeters. Solve for : 1,000,000 cubic millimeters are in 1,000 cubic centimeters.
help i need to pass this edmentum
Answer:
Pick c, 2/27
Step-by-step explanation:
Bag #1 has 4 + 6 + 3 + 5 = 18 total tiles.
4 are black.
So prob (black) from bag 1 = 4/18.
Bag #2 has 3 + 2 + 3 + 1 = 9 total tiles.
3 are black.
So prob(black) from bag 2 = 3/9.
Multiply those 2 independent probabilities together.
(4/18) x (3/9) = (2/27)
PLEASE HELP!!!!!!! URGENT!!!!!
Use Law of Cosines. Find length of X. (Round final answer to one decimal place as needed. Round all intermediate values to two decimal places as needed.)
Answer: 23.80
Step-by-step explanation:
[tex]\sqrt{19^2+18^2-2*19*18cos(80)}[/tex]
How do I find the reference angle for the following?
Answer: 1.4 pi, and pi/180
Step-by-step explanation:
b)
this is a negative angle; It is also less than 0.5pi, (pi/2, which is the border of the first quadrant). therefore the reference angle is just the positive version:
so 1.4pi is the reference angle
c)
pi/180 is already in the first quadrant. so pi/180 would be the reference angle.
Find the median and mode of the data.
3, 414, 334, 5, 212, 4, 823, 212
Median: 212
Mode: 212
The median and mode of the data set are 273 and 212 respectively.
What is the median?The median is the value that splits the mathematical numbers or expressions in half. The median value is the middle number of data points. To find the median first arrange the data points in ascending order.
To find the median, we need to arrange the numbers in order from least to greatest:
3, 4, 5, 212, 212, 334, 414, 823
There are 8 numbers in total, so the median is the average of the two middle numbers, which are 212 and 334.
Median = (212 + 334)/2 = 273
To find the mode, we need to identify the number(s) that occur most frequently. In this case, 212 appears twice, so it is the mode.
Mode = 212
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This sentence includes a participial phrase. True or false.
The picture frame held a picture of our family on vacation.
True
False
The sentence given in the question does not include a participial phrase. Hence, correct option is False
The sentence "The picture frame held a picture of our family on vacation" does not include a participial phrase.
A participial phrase is a phrase that acts as an adjective. In this sentence, the phrase "on vacation" is an adjective phrase that describes the noun "family." However, it is not a participial phrase because it is not formed from a verb.
A participle is a verb form that can be used as an adjective. In this sentence, the verb "hold" is not used as an adjective.
Therefore, the phrase "on vacation" is not a participial phrase.
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32.6 ÷ 1 =
32.6 ÷ 10 =
32.6 ÷ 100 =
Answer:
32.6
3.26
0.326
Step-by-step explanation:
You could use long division or a calculator to get these quotients (answers to division problems) but, probably you're supposed to see the pattern of how the decimal moves when you divide by 1, 10, 100 (these are powers of 10)
● Divide by 1, decimal does not move
● Divide by 10, the decimal moves left one place
● Divide by 100, the decimal moves left two places
A set contains 13 elements.
a) How many subsets does it have?
b) How many proper subsets does it have?
Step-by-step explanation:
Answer and Explanation:
The set contains 13 elements here, so the total number of subsets can be calculated as 213=8192 2 13 = 8192 .
the length of the green anole lizard is how many times greater than the length of the crazy ant. The length of the lizard is 6 in and the length of the ant is 3/32
A. 9/16
B.5 29/32
C. 16
D. 64
The Length of the ant to inches before we can compare the two lengths. We do this by dividing the numerator (3) by the denominator (32), which gives us a decimal of approximately 0.09375 inches.
To find how many times greater the length of the green anole lizard is compared to the crazy ant, we need to divide the length of the lizard by the length of the ant:
Length of lizard / Length of ant = 6 / (3/32) = 6 * (32/3) = 64
Therefore, the length of the green anole lizard is 64 times greater than the length of the crazy ant.
The correct answer is (D) 64.
It is important to pay attention to the units when working with ratios and proportions. In this case, the length of the lizard is given in inches, while the length of the ant is given in fractions of an inch. We need to convert the length of the ant to inches before we can compare the two lengths. We do this by dividing the numerator (3) by the denominator (32), which gives us a decimal of approximately 0.09375 inches.
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Romeo is caring for many yellow-spotted salamanders. He weighs each and
then counts the number of yellow spots on its back. Which trend line
best fits the data?
The trend line that best fits the data in this problem is given by the following option:
Option D.
What are residuals?For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:
Residual = Observed - Predicted.
Hence the graph of the line of best fit should have the smallest possible residual values, meaning that the points on the scatter plot are the closest possible to the line.
As option D has the points the closest to the line, it is the correct option in the context of this problem.
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Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
The coordinates in the solution to the systems of inequalities is (-2, 1)
Solving the systems of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
y > -x - 4
y > 2x - 6
By imagining where the shading should be, we have
y > -x - 4: Shaded up righty > 2x - 6: Shaded up leftFrom the imagined graph, we have solution to the system to be the shaded region
The coordinates in the solution to the systems of inequalities is (-2, 1)
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Anna is a microbiology student. She was doing research on optimum temperature for the survival of diffrent strains of bacteria. Studies showed that bacteria x needs an optimum temperature of -31°C while bacteria Y needs an optimum temperature of -56°C. What is the temperature diffrence?
The temperature difference between the optimum temperatures of bacteria X and Y is 25°C.
To find the temperature difference between the optimum temperatures of bacteria X and Y, we subtract the temperature of bacteria Y from the temperature of bacteria X.
Temperature difference = Optimum temperature of bacteria X - Optimum temperature of bacteria Y
Temperature difference = -31°C - (-56°C)
When we subtract a negative number, it is equivalent to adding its positive value. Therefore, -(-56°C) is the same as +56°C.
Temperature difference = -31°C + 56°C
To add these temperatures, we need to consider the sign of the result. In this case, we have a negative temperature (-31°C) and a positive temperature (+56°C). When adding numbers with different signs, we subtract the smaller absolute value from the larger absolute value and use the sign of the number with the larger absolute value.
Absolute value of -31°C = 31°C
Absolute value of +56°C = 56°C
Since 56°C > 31°C, the result will have a positive sign.
Temperature difference = 56°C - 31°C = 25°C
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Please Help! 13 points!
a) The first mistake that Fatima made was in the first step.
b) She incorrectly changed the place value of 0.02 in the subtraction operation.
c) Based on the correct subtraction operation and place value in step one, Fatima has 0.395 kilograms of rose petals left.
What is a place value?The place value shows the position of a digit in a number.
The right place values are essential for correct mathematical operations.
The quantity of rose petals that Fatima bought initially = 0.454 kilograms
The quantity of rose petals used for making rose water = 0.02 kilograms
The remaining quantity of rose petals = 0.434 (0.454 - 0.02)
The additional quantity of rose petals Fatima bought = 0.056
The quantity of rose petals used for making the second rose water = 0.095
The quantity of rose petals left = 0.395 (0.434 + 0.056 - 0.095)
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