Answer:
7.5
Step-by-step explanation:
\(a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5\)
Hey can someone help please Whatb is the value of the 8 in 873 119
Use a common denominator to find –12+(-3).
Explain your answer.
The answer is 15 because you have two equal signs so they add up and that's why it gives that answer
Rational numbers are closed under the operations of addition, subtraction and multiplication.
Rational numbers are indeed closed under the operations of addition, subtraction, and multiplication is true.
We have,
A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero.
The set of rational numbers is closed under the operations of addition, subtraction, and multiplication.
This means that if we take any two rational numbers and add them, subtract them, or multiply them together, the result will always be another rational number.
To see why this is true,
Consider two rational numbers a/b and c/d, where a, b, c, and d are integers and b and d are not equal to zero.
To show that rational numbers are closed under addition, we can add the two rational numbers as follows:
a/b + c/d = (ad + bc) / bd
Since a, b, c, and d are all integers, ad + bc is also an integer.
Also, since b and d are not equal to zero, bd is also not equal to zero.
And,
(ad + bc) / bd is a ratio of two integers, where the denominator is not equal to zero.
This means that it is a rational number.
To show that rational numbers are closed under subtraction, we can subtract the two rational numbers as follows:
a/b - c/d = (ad - bc) / bd
Again, since a, b, c, and d are all integers, ad - bc is also an integer, and bd is not equal to zero.
Therefore, (ad - bc) / bd is a rational number.
Finally, to show that rational numbers are closed under multiplication, we can multiply the two rational numbers as follows:
(a/b) x (c/d) = (ac) / (bd)
Once again, ac and bd are integers, and since b and d are not equal to zero, bd is also not equal to zero.
Therefore, (ac) / (bd) is a rational number.
Thus,
Rational numbers are indeed closed under the operations of addition, subtraction, and multiplication.
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The attendance over a weekly period of time at a movie theater is normally distributed with a mean of 10,000 and a standard deviation of 1000 persons. Find the percent of attendance figures that differs from the mean by 1500 persons or more.
The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.
From the question above, Mean μ = 10,000
Standard Deviation σ = 1,000
The formula for z-score is :
z = (x-μ) / σ
Where, x = observation
z = z-score
Mean μ = 10,000
Standard Deviation σ = 1,000
From the above formula, let's calculate z-score for x = 11,500
z = (x-μ) / σ
z = (11,500 - 10,000) / 1000
z = 1.5
Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.
P(z ≥ 1.5) = 0.0668
To find the percentage, we need to multiply the above value by 100.
P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%
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In Foundations of Art, students are cutting circular paper plates into sectors. If the diameter of the plate is 22 cm, determine the central anglenecessary to create a sector with an area of 220 cm². Round to nearest thousandth if necessary.
STEP 1
Interpret question to make sense geometrically.
We have circular shapes, thus, we are dealing with circles and these circles have their area, however, we seek the angle with which when used to cut the circle will give us an area of 220 sq cm.
Note that this is a fraction of the total area of the circle.
This will be illustrated diagrammatically below
Area of a sector is given as:
\(\begin{gathered} \frac{\theta}{360}\times\pi(\frac{d^2}{4}) \\ \text{The question requires us to get the angle }\theta\text{ after equationg the expression to 220 sq cm} \end{gathered}\)STEP 2
Find unknown
\(\begin{gathered} \text{Making }\theta\text{ the subject of the formulae gives} \\ \theta=\frac{220\times360\times4}{\pi\times22^2}=208.348^o \end{gathered}\)The ci
Name each level of measurement for which data can be qualitative.
Select all the levels of measurement for which data can be qualitative.
A. Nominal Your answer is correct.
B. Ratio
C. Interval
D. Ordinal
Answer:
qualitative and ordinal.
Step-by-step explanation:
They are both two types of qualitative data under Categorical data.
Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.
What is level of measurement?A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.
This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.
Therefore, the correct option is option A, D.
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In how many ways can 7 volunteers be assigned to 7 booths for a charity bazaar? A. 10,080 ways B. 2,520 ways C. 5,040 ways D. 1 way
To determine the number of ways to assign 7 volunteers to 7 booths for the charity bazaar, we can consider the concept of permutations. Since each volunteer must be assigned to a different booth, we are essentially permuting the volunteers among the booths.
The number of ways to arrange 7 volunteers into 7 distinct booths can be calculated using the factorial function. The factorial of a number n, denoted as n!, represents the product of all positive integers from 1 to n.
In this case, we have 7 volunteers and 7 booths, so we need to calculate 7!.
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040
Therefore, the correct answer is C. There are 5,040 ways to assign 7 volunteers to 7 booths for the charity bazaar. Each arrangement represents a unique assignment of volunteers to booths, ensuring that each volunteer is assigned to a different booth.
It is worth noting that the factorial function grows rapidly as the number increases. In this case, with 7 volunteers and 7 booths, the number of possible arrangements is quite large.
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PLEASE HELP WILL GIVE brainliest if it helps :)
A school vending machine sells cartons of milk and juice. On a typical day: INo cartons are sold between 7 A.M. and 8 A.M., or from 5 P.M. onward the machine has a capacity of100 cartons. At 7 A.M., it is three-quarters full. From 8 A.M to 10 A.M. 10:15 A.M. to noon, and from 1 P.M. to 3 P.M. the students are in class. The machine is filled at11 A.M. and at 4 P.M. Sketch a graph of the number of cartons in the vending machine as a function of time. Explain what each section of the graph represents.
Answer:
i cant do the graph rn but the slope would be y=4x-2
Step-by-step explanation:
solve for X and Y. be sure to solve for both.
Answer:
x = 48; y = 13
Step-by-step explanation:
20/5 = 52/y
4 = 52/y
4y = 52
y = 13
20/5 = x/12
4 = x/12
x = 4 * 12
x = 48
Answer:
x = 48, y = 13
Step-by-step explanation:
Since they have a pair of verticle angles, this means the triangles are similar. You find a common side (the length 5 and length 20) and you know the ratio, (divide 20 by 5) aka. the larger triangle is 4 times larger than the smaller one. That means the side lengths are also 1/4 scale. So the bigger triangle = 12(length of side)*4(ratio). Also since y is on the smaller triangle, you scale it down by 1/4, so 52 (the side length) / 4 (ratio) is 13. So y = 13, x =48
Polygon ddd is a scaled copy of polygon ccc using a scale factor of 666. How many times as large is the area of polygon ddd compared to the area polygon ccc?.
Area of polygon d compared to the area polygon c is 36 times larger.
What is polygon?
In pure mathematics, a polygon could be a figure that's delineated by a finite variety of line segments connected to create a closed polygonal chain. The finite plane region, the bounding circuit, or the 2 along, could also be referred to as a plane figure. The segments of a polygonal circuit area unit referred to as its edges or sides.
Main body:
You simply square the linear scale factor 6 and we get 6^2 = 6*6 = 36
You can think of a square with sides of 2 by 2, so the area is 4
If you multiply each dimension by 6, then the square is now 12 by 12 and the new area is 144. Notice how 144/4 = 36, or put another way 36*4 = 144
Hence polygon d is 36 times larger than c.
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Find the indicated measure
I will give brainliest to the right answer with solution
Answer:
∠ N = 10° , arc RS = 134°
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc.
(5)
∠ N is an inscribed angle and we require arc LM
the measure of the arcs in a circle = 360°
note LN is the diameter so arc LN = 180°
Then
LM + MN + LN = 360°
LM + 160° + 180° = 360°
LM + 340° = 360° ( subtract 340° from both sides )
LM = 20°
then
∠ N = \(\frac{1}{2}\) LM = \(\frac{1}{2}\) × 20° = 10°
(6)
∠ Q is an inscribed angle so its intercepted arc is twice its measure
arc RS = 2 × 67° = 134°
28
each large square has a value of one.
what is the value of the shaded parts of the large squares?
only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ., and / are allowed in your answer.
answers that are mixed numbers must be entered as an improper
fraction or decimal.
The value of the shaded parts of the large squares cannot be determined without additional information.
The question states that each large square has a value of one, but it does not specify the values of the shaded parts within the large squares. Without knowing the specific values assigned to the shaded parts, it is not possible to calculate their total value.
The shaded parts could represent any numerical value depending on the context or instructions given. Therefore, a specific answer cannot be determined without further information.
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Given numbers = (27, 56, 46,
57, 99, 77, 90), pivot = 77
Given numbers \( =(27,56,46,57,99,77,90) \), pivot \( =77 \) What is the low partition after the partitioning algorithm is completed? (comma between values) What is the high partition after the partit
After the partitioning algorithm has completed, the low partition would be (27, 56, 46, 57) and the high partition would be (99, 77, 90).
Explanation: In the quicksort algorithm, partitioning is an important step. The partition algorithm in quicksort chooses an element as a pivot element and partition the given array around it.
In this way, we will get a left sub-array that consists of all elements less than the pivot, and the right sub-array consists of all elements greater than the pivot. If the pivot element is selected randomly, then quicksort performance would be O(n log n) in the average case.
In the given question, the given numbers are (27, 56, 46, 57, 99, 77, 90), and the pivot element is 77.To partition this array, the following steps are followed.
1. The left pointer will point at 27, and the right pointer will point at 90.
2. Increment the left pointer until it finds an element that is greater than or equal to the pivot element.
3. Decrement the right pointer until it finds an element that is less than or equal to the pivot element.
4. If the left pointer is less than or equal to the right pointer, swap the elements of both pointers.
5. Repeat steps 2 to 4 until left is greater than right.
In the given question, the left pointer will point at 27, and the right pointer will point at 90. Incrementing the left pointer will find the element 56, and the decrementing the right pointer will find the element 77.
As 56 < 77, swap the elements of both pointers. In this way, partitioning continues until left is greater than right. Now, the array will be partitioned into two sub-arrays.
The left sub-array will be (27, 56, 46, 57), and the right sub-array will be (99, 77, 90).
So the low partition is (27, 56, 46, 57), and the high partition is (99, 77, 90).
Therefore, the answer is: low partition (27, 56, 46, 57) and high partition (99, 77, 90).
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f(x)=x+2 g(x)=3x^2-5 find (f x g)(x)
Answer:
(f · g)(x) = 3x³ + 6x² - 5x - 10
General Formulas and Concepts:
Distributive PropertyFOIL (First, Outside, Inside, Last)Step-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = 3x² - 5
Step 2: Find (f · g)(x)
Set up: (x + 2)(3x² - 5)FOIL: 3x³ - 5x + 6x² - 10Combine like terms: 3x³ + 6x² - 5x - 10On Monday, Tuesday, and Wednesday, Stephen practiced the piano from 4:15
P.M. until 5:45 P.M. In total, how long did he practice during those three days?
hr
min
Answer:
from 4:15 to 5:45 is 90 mins, or 1 hour and 30 mins. if you add 1 hour, 30 mins + 1 hour, 30 mins + 1 hour, 30 mins you will get 3 hours, 90 mins. this becomes 4 hours and 30 mins.
Step-by-step explanation:
Answer:
4.5 stup1dhfalih;lhs;iyqwrpo8tpy vwo;yprwtywouyt oyweoiywerioy2408t479569253870349704937084585234843684304638348643983 46439643964389435 836295
Step-by-step explanation:
Calculate the volume of a solid with a density of 5.3 g/cm3 and a mass of 371 g.
in a survey about a new cleaning product, 75% of respondents report they would buy the product again. the margin of error for the survey is 5%. based on the margin of error, what percentage range reflects the population's true response?
Answer:80% - 70%
Step-by-step explanation:
If the margin for the error is 5% im guessing that means 5% backwards or forwards so i believe that my answer is correct
ps if im right brainliest please
The percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.
Given, a margin of error of 5%, we can determine the range that reflects the population's true response.
To find the range, we consider the maximum and minimum values within the margin of error.
Maximum Value: 75% + 5% = 80%
Minimum Value: 75% - 5% = 70%
Therefore, the percentage range that reflects the population's true response, considering the margin of error, is from 70% to 80%.
This means that we can be 95% confident that the actual percentage of people who would buy the product again lies within this range.
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when a chip fabrication facility is operating normally, the lifetime of a microchip operated at temperature measured in degrees celsius, is given by an exponential random variable with expected value years. occasionally, the chip fabrication plant has contamination problems and the chips tend to fail much more rapidly. to test for contamination problems, each day chips are subjected to a one-day test at based on the number of chips that fail in one day, design a significance test for the null hypothesis the plant is operating normally. (a) suppose the rejection set of the test is find the significance level of the test as a function of the number of chips tested. (b) at temperature degree celsius, how many chips must be tested so that the significance level is note that must be an integer. (c) if we raise the temperature during the test, the number of chips we need to test will choose .
a. The significance level of the test is the probability of rejecting the null hypothesis 1 - F(k). b. The value of k at the midpoint of this interval is the solution. c. the exact relationship between the number of chips and the temperature depends on the details of the chip fabrication process and the testing procedure.
(a) Suppose the rejection set of the test is {k or more chips fail in one day}. To find the significance level of the test as a function of the number of chips tested, we need to calculate the probability of rejecting the null hypothesis when it is true, which is the probability of observing k or more failures in one day when the chips are operating normally. This probability is given by the cumulative distribution function (CDF) of the exponential distribution with mean years, evaluated at the time period of one day:
P(reject null | null is true) = P(k or more failures in one day | normal operation) = 1 - F(k)
where F(k) is the CDF of the exponential distribution with mean years, evaluated at k/365. The significance level of the test is the probability of rejecting the null hypothesis when it is true, so we have:
significance level = P(reject null | null is true) = 1 - F(k)
(b) To find the number of chips that must be tested at temperature degree Celsius so that the significance level is , we need to solve the equation:
1 - F(k) =for k, where F(k) is the CDF of the exponential distribution with mean years, evaluated at k/365 and is the desired significance level. Since the exponential distribution is a continuous distribution, we can use a numerical method to solve this equation. One way is to use a root-finding algorithm such as the bisection method or Newton's method. For example, using the bisection method, we can start with an initial interval [a, b] that brackets the solution and iteratively bisect the interval until we obtain an interval of desired width that contains the solution. The value of k at the midpoint of this interval is the solution.
(c) If we raise the temperature during the test, the number of chips we need to test will decrease. This is because the higher temperature increases the failure rate of the chips, making it easier to detect contamination problems. However, the exact relationship between the number of chips and the temperature depends on the details of the chip fabrication process and the testing procedure, so we cannot give a general answer to this question without more information.
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A bag of peppers has green and red peppers. The ratio of the peppers to red peppers is 4 to 3
Answer:
whats the question?
Step-by-step explanation:
im guessing it was how many green peppers there are and if it is there is 1 pepper
Ashley is at the top of a mountain that is 2,400 feet. She hikes down to the bottom of the mountain in 8 hours. If she hiked at the same rate the whole time how many
feet did she hike down the first hour?
Answer:
300 ft in one hour.
Step-by-step explanation:
The validity of measurement or data refers to the
a. Deductive justification of the numerical scale for data
b.Elimination of effects of constructive perception on data
c.Elimination of theory-laden data from science
d.Explanation of data points
e.Accuracy of the measurement instrument or data-acquisition tool
2.The constructive nature of perception is best described as
a.The influence of expectations on sense-perception
b.Memories that are literal copies
c.A one-to-one correspondence between perception and reality
d.Pareidolia misperception
e. All of the above
The validity of measurement or data refers to the accuracy of the measurement instrument or data-acquisition tool. The answer is option(e).
The constructive nature of perception is best described as the influence of expectations on sense-perception. The answer is option(a).
1) The validity of measurement or data refers to the accuracy of the measurement instrument or data-acquisition tool. It is a basic assessment of the instrument's accuracy, including whether it can properly and appropriately evaluate what it was intended to evaluate.
2) Our experiences can affect how we interpret sensory data, causing us to see things that aren't there or failing to see things that are. As a result, perception is a two-way street in which sensory input is combined with prior experiences to create our understanding of the world around us.
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SOMEONE HELP!!! Can not get this wrong
Answer:
This is an geometric sequence with a common ratio r of 1/2
Step-by-step explanation:
When you find out r, you realize the ratio between the numbers to be dividing by 2, or 1/2. Since it is r and not common difference d, it is an geometric sequence.
Help me
ARE THE FOLLOWING EQUIVALENT RATIOS? IF YES, EXPLAIN. IF NO, EXPLAIN.
3/5 = 14/25
Answer:
No, they are not equivalent ratios.
Step-by-step explanation:
The denominator of 14/25 is 25, which is 5 times 5.
If you multiply the numerator and denominator of 3/5 by 5, you get 15/25 which does not equal 14/25
Discriminant for 2x^2+5x-8= -13
a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be
The correct hypothesis statement for this golfer to prove his claim would be:
\(H_{0} :u\geq 90\)
\(H_{1} :u < 90\)
The golfer claims that his average score is less than 90.
Therefore, the null hypothesis is the opposite of what he claims
Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:
\(u \geq 90\)
\(H_{0} :u\geq 90\)
Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.
Hence alternate hypothesis \(H_{1}\) is u< 90
\(H_{1} :u < 90\)
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The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered for an average of 480480480 minutes and used an average 727272 liters of shower water (over the entire month). Water costs 0.200.200, point, 20 dollars per liter. How much did Trevor's family pay per minute on shower water?
Using proportions, we find that: Trevor's family paid $0.03 per minute on shower water.
---------------------------------
This question is solved using proportions.
There are 6 people in the house.There are 3 bathrooms in the house.Each person used an average of 72 liters of shower.Thus, the total amount of liters used is:
\(L = 72 \times 6 = 432\)
---------------------------------
432 liters used.Each liter costs $0.2.Thus, the total amount paid was of:
\(A = 432 \times 0.2 = 86.4\)
---------------------------------
Total of 86.4 dollars.Total of 6x480 = 2880 minutes.The amount of dollars per minute is:
\(D = \frac{86.4}{2880} = 0.03\)
Trevor's family paid $0.03 per minute on shower water.
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Trevor's family paid $ 1.33 per minute on shower water.
Since the house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms, and in the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month), and water costs 0.20 dollars per liter, to determine how much did Trevor's family pay per minute on shower water, the following calculation must be performed:
You must multiply the number of liters by its value, and divide that result by the number of minutes that each person consumed, in order to obtain the value per minute on shower water.
((480 x 6) x 0.2) / (6 x 72) = X(2880 x 0.2) / 432 = X576/432 = X1.333 = XTherefore, Trevor's family paid $ 1.33 per minute on shower water.
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A candle is formed in the shape of a cylinder. It has a diameter of 4 inches a d a height if 5 inches. Which measurement is closest to the total surface area of the candle in square inches
The closest measurement in square inches to the overall surface area of the candle is 87.92 square inches.
To find the total surface area of the candle, we need to calculate the lateral surface area (excluding the top and bottom) and then add the areas of the two circular bases.
1. Lateral Surface Area:
The formula for the lateral surface area of a cylinder is given by A = 2πrh, where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the candle is 4 inches, we can calculate the radius by dividing the diameter by 2:
Radius (r) = 4 inches / 2 = 2 inches
Height (h) = 5 inches
Using the formula, we can calculate the lateral surface area:
Lateral Surface Area = 2π(2 inches)(5 inches) = 20π square inches
2. Base Area:
The formula for the area of a circle is given by A = πr^2, where r is the radius of the circle.
Using the radius calculated earlier (r = 2 inches), we can calculate the area of each circular base:
Base Area = π(2 inches)^2 = 4π square inches
3. Total Surface Area:
To find the total surface area, we add the lateral surface area and the areas of the two circular bases:
Total Surface Area = Lateral Surface Area + 2(Base Area)
Total Surface Area = 20π + 2(4π) = 20π + 8π = 28π square inches
Approximating the value of π to 3.14, we can calculate the approximate total surface area:
Total Surface Area ≈ 28(3.14) = 87.92 square inches
Therefore, the closest measurement to the total surface area of the candle in square inches is 87.92 square inches.
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15.In AABC, AB = 3, BC = 4 and
AC = 6. Name the largest angle.
The largest angle of triangle ABC is angle B.
In this question, we have been given the side length of triangle ABC.
In ΔABC, AB = 3, BC = 4 and AC = 6.
We need to name the largest angle.
We know that the largest angle of triangle is always opposite to the longest side of the triangle.
We can observe that the longest side of ΔABC is AC = 6 units
The angle opposite to side AC is angle B.
Therefore, the largest angle of triangle ABC is angle B.
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A bug ran from -47 to -12 in 7 mins. How far did the bug ran. What was its average speed
Answer:
Step-by-step explanation:
The distance that the bug ran is the absolute value of the difference between its initial position and final position:
distance = |-47 - (-12)| = |-47 + 12| = 35
Therefore, the bug ran a distance of 35 units.
To calculate the average speed, we need to divide the distance by the time:
average speed = distance / time = 35 / 7 = 5
The units of average speed are units of distance divided by units of time, so the average speed of the bug is 5 units per minute (unit/min).
Which graph shows the points (0, 7) and (4, 1) plotted correctly?
Answer:
(See the attachment)
Step-by-step explanation:
None
Answer: Answer below
Step-by-step explanation: