The slope from of (−4, 6) to (2, 2/3) can be written as -17/18
How can the slope be written?The slope of line can be represented as =slope whereby (x1, y1) = serves as the coordinates of first point in the line (x2, y2)serve as as the coordinates of second point in the line
From the question, x1 = -4, y1 = 6 , x2 = 2, y2 =2/3 then we can set up into the formula as
(y2 - y1) / (x2 - x1)
(y2 - y1) =(2/3 - 6) =-17/3
(x2 - x1) = (2 - (-4))= 6
Hence slope = -17/18
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Describe the distribution in terms of magnitude, degree, and direction of skewness.
Skewness measures the magnitude, degree, and direction of asymmetry in a distribution. It is an important tool for describing and understanding the shape of data distributions.
Skewness is a measure of the asymmetry of a distribution. It is a statistical measure that indicates the degree to which a distribution deviates from the symmetry of a normal distribution. Skewness can be either positive or negative, or it can be zero, indicating no skewness.
Magnitude, The magnitude of skewness is determined by the degree of asymmetry in the distribution. The larger the magnitude of skewness, the more asymmetrical the distribution is. A small magnitude indicates a distribution that is close to symmetric.
Degree, The degree of skewness is the extent to which the distribution deviates from symmetry. Positive skewness indicates a distribution with a longer right tail than left, while negative skewness indicates a distribution with a longer left tail than right.
Direction, The direction of skewness is the direction of the longer tail of the distribution. If the tail is to the right, the distribution is positively skewed, and if the tail is to the left, the distribution is negatively skewed.
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The selling price for peanut butter is $3. 79 and the cost is $2. 84
Answer: Profit = .95 or 95 cents
Step-by-step explanation:
What is the question here?
If it is profit then the answer is 3.79-2.84
find the surface area of a rectangular prism if the width is 4 cm, the length is 4 cm, and the height is 15 cm
Hence, the rectangular prism has a surface area of 272 square centimetres.
what is surface area ?For instance, by multiplying the length and breadth of a rectangle, the area of the shape can be determined. Pi (roughly 3.14), multiplied by the square root of the radius, can be used to get a circle's area. Calculating the size of numerous forms and figures, including triangles, circles, squares, and polygons, involves the usage of area, a key topic in geometry. The size of a piece of land, a building's floor area, or the surface of such an object are just a few examples of the many real-world uses for it.
given
We must add up the areas of all six faces of a rectangular prism in order to determine its surface area.
In this instance, the dimensions are as follows: width (w), length (l), and height (h), all in centimetres.
You can compute the surface area (A) as follows:
A = lw + lh + lw
Inputting the values provided yields:
A is equal to 2 (4 x 4 cm) + 2 (4 x 15 cm) + 2. (4 cm x 15 cm)
[tex]A=32 cm^2 + 120 cm^2 + 120 cm^2[/tex]
A = 272 cm²
Hence, the rectangular prism has a surface area of 272 square centimetres.
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Answer this question and I will give u brainlst.
*There are 6 steps to this problem.
its 12.67 because like look at it this way
The elephants at the Hancock Zoo are fed 4 9/10 barrels of corn each day. The buffalo are fed 1/6 as much corn as the elephants. How many barrels of corn are the buffalo fed each day?
Write your answer as a fraction or as a whole or mixed number.
PLEASE PLEASE PLEASE HELP
Answer: 49/60 of corn
Step-by-step explanation:
How I got this answer was I basically paid attention to the wording. 1/6 as much meaning x 1/6. So, I converted 4 9/10 to a fraction and got 49/10. Then, I multiplied 49/10 by 1/6 and got 49/60. The fraction can't be simplified any lower, so it is supposed to be left as is. Hope this helped!
A byte is how many bits?
a. 8
b. 80
c. 800
d. Depends on the computer
Answer:
A byte is 8 bits.
s^2-11s
Find the solution set for this equation and separate the two values with a comma
The solution set for this equation S^2-11s can be expressed as 0, 11.
How can the values for the equation be determined?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. The purpose of an equation is to find the value(s) of the variable(s) that make the equation true.
Given that S^2-11s, which can be written as S^2-11s = 0 We can factor the expression on the left-hand side to get:
S(S-11) = 0
Then this equation is satisfied when either S = 0 or S-11 = 0. Thus, the solution set is: S = {0, 11}
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Which question requires gathering numerical data?
A
What are my favorite TV shows?
B.
How many goldfish are in the pet store?
What breeds of dogs are in the dog show?
D. What are the seven tallest mountains in the world?
Camile realizes she is charged more based on the volume of the box and not the weight which box would fit her requirements and be the best choice to save her on shipping cost? Explain your reasning
To save on shipping costs, Camile should choose a box that is lightweight and has a small volume.
Why should Camile choose a box that is lightweight and has a small volume?This is because she has realized that she is charged based on the volume of the box and not the weight.
Therefore, a smaller volume box would cost her less than a larger volume box of the same weight.
For example, if Camile needs to ship a 5-pound item, she should choose a smaller box with a volume that is just enough to fit the item, rather than a larger box with more empty space. This is because the larger box would have a greater volume, and therefore, incur a higher shipping cost even though it weighs the same as the smaller box.
In summary, when selecting a box to save on shipping costs, it is important to consider both weight and volume. Camile should choose a box that is lightweight and has a smaller volume to reduce her shipping costs.
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Can you give me a hand with this. I am very confuesd how to do this and would like to know how also involving the answer would be amazing
The probability of not getting a purple after turning the spinner would be = 0.75
How to calculate the probability of not getting a purple?To calculate the probability of the given sample;
= possible outcome/sample space
where;
possible outcome = 3
sample space = 4
Probability = 3/4 = 0.75
Therefore, the probability of not getting a purple colour would be = 0.75
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In the month January, sarah drove her car 3,219.2 miles. That brought the car’s total mileage to 65,470.5 miles how many were on the car before January?
how to solve this equation
-4x - 5 - 11x= 40
Answer:
x = -3
Step-by-step explanation:
[tex]-4x-5-11x=40\\-15x=40+5[/tex]
[tex]x=\frac{45}{-15}[/tex]
[tex]x=-3[/tex]
Hope this helps.
a. What are the coordinates of the reflected point?
b. Reflect the coordinate points from 3(a) over the y-axis
What are the coordinates of the reflected point?
Answer: Part A is (-9, 13) Part B is (9, 13)
Step-by-step explanation:
Hypothesis Testing Using a P-Value Signature Assignment #2
Roller Coasters. The heights in feet of 36 randomly selected top-rated roller coasters are listed. Assume the population standard deviation is 71.6 feet. At a = 0.05, is there enough evidence to reject the claim that the mean height of top- rated roller coasters is 160 feet? (Source: POP World Media, LLC)
325 188 306 107 208 167 105 78 140 232 230 170 170 205 305 135 200 200 100 223 135 195 80 90 120 210 82 161 245 88 70 116 121 146 149 124
1. Express the null and alternative hypothesis in words and as mathematical expressions. Identify which one is the claim?
2. Compute the sample mean and test statistic z. Write out the formulas and show your work. Round off to two decimal places. (EQS)
3. Compute the p value and explain how it was found. (Round off two decimal places.)
4. Describe whether to reject or fail to reject the null hypothesis and explain the decision.
5. Interpret the decision in the context of the original claim. (Critical thinking)
6. In three to five sentence explain how and why hypothesis testing is used. Give an example (Communication)
Null hypothesis: The mean height of top-rated roller coasters is 160 feet (H0: u = 160).
Solution to the aforementioned questions1) Null hypothesis: The mean height of top-rated roller coasters is 160 feet (H0: u = 160). Alternative hypothesis: The mean height of top-rated roller coasters is not 160 feet (Ha: u ≠ 160). The claim is the null hypothesis.
2) Sample mean = (325+188+306+107+208+167+105+78+140+232+230+170+170+205+305+135+200+200+100+223+135+195+80+90+120+210+82+161+245+88+70+116+121+146+149+124)/36 = 164.97 feet. The test statistic z = (x - μ) / (σ / √n) = (164.97 - 160) / (71.6 / √36) = 1.21.
3) The p-value is the probability of observing a test statistic as extreme as the one computed from the sample, assuming the null hypothesis is true. Using a standard normal distribution table, the p-value is 0.1131.
4) At α = 0.05, the p-value (0.1131) is greater than a. Therefore, we fail to reject the null hypothesis.
5) Based on the statistical analysis, we do not have sufficient evidence to reject the claim that the mean height of top-rated roller coasters is 160 feet.
6) Hypothesis testing is a statistical method used to make decisions based on the analysis of sample data. It is used to determine whether a claim or hypothesis about a population is supported by the evidence provided by the sample data.
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Luis leases a BMW for 4 years at $475.86 a month. What total will he spend on his lease?
Answer: Luis will spend a total of $22,868.48 on his lease.
Step-by-step explanation: To calculate the total cost of Luis's lease, we need to multiply the monthly cost by the number of months in the lease:
Total cost = monthly cost x number of months
The number of months in 4 years is 4 x 12 = 48 months.
Therefore, the total cost of Luis's lease is:
Total cost = $475.86/month x 48 months
Total cost = $22,868.48
So Luis will spend a total of $22,868.48 on his lease.
PLEASE HELP WITH EXPLANATION AND ANSWER ASAP
The graph of the solution would be a number line with an open circle at 48 and an arrow extending to the right, indicating all values greater than 48 are solutions to the inequality. The solution would be (48, ∞).
What justifies inequality?The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse.
Part A:
We can solve the inequality as follows:
1/4x - 3 - 5 > 4
1/4x - 8 > 4
1/4x > 12
x > 48
Therefore, the solution to the inequality is x > 48.
Part B:
Since the inequality is stringent, the graph of the solution would be a number line with an open circle at 48 and an arrow pointing to the right, signifying that all numbers greater than 48 are solutions to the inequality. The answer would be (48, ) in interval notation.
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The side lengths of a triangle are 3 meters,4 meters, and 5 meters, Suppose the side lengths are multiplied by 4. Describe the change in the perimeter
The change in the perimeter is:
= 36m
The side lengths of a triangle are 3 meters,4 meters, and 5 meters.
We have to find the perimeter of the triangle.
Now,
Perimeter of a triangle is sum of all sides.
We have the side's length are:
[tex]P_1[/tex] = 3 + 4 + 5 = 12 meters.
Now, In the second case we have to multiplied the side length by 4.
Side's length are:
3 = 3 × 4 = 12
4 = 4 × 4 = 16
5 = 4 × 5 = 20
Perimeter of a triangle is sum of all sides.
[tex]P_2[/tex] = 12 + 16 + 20
[tex]P_2[/tex] = 48 meters
Now, the change in the perimeter is:
[tex]P_2 - P_1[/tex] = 48 - 12 = 36m
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What is the area of this square?
Answer: 81mi^2
Step-by-step explanation:
Area Formula for Square: side * side
9*9 = 81
use strong induction to show that any counting number can be written as the sum of distinct powers of 2.
Any counting number can be written as the sum of distinct powers of 2.(proved).
What is counting number?
Counting numbers are nothing but the natural numbers that can be used for counting. The numbers start from 1 and the series continues as 1, 2, 3, 4, 5, 6,-- and so on. Zero can not be included in counting numbers because we cannot count 0.
To prove this statement we have to consider two cases.
Let, n be any counting number or natural number. Then the power of 2 can be written as 2ⁿ.
n can be even or odd.
n=1:
If n=1 then it can be written as 2⁰
Let us assume that for n≤ k that n can be written as the sum of distinct powers of 2.
Now let us take, n= k+1.
Here one case is n is odd.
Then n≤ k+1
so, n-1≤ k
By the induction hypothesis n-1 can be written as distinct power of 2.
n is the sum of these distinct powers of 2 as well 2⁰, which is not among them. as n-1 is even.
Now if n is even,
so n=2m (say) for m≤ k
Thus, by the induction hypothesis m can be written as distinct power of 2.
If for each power of 2 in this sum , increment the exponent by 1 then the resulting sum of distinct powers of 2 equals n= 2m
Hence, the statement is true.
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naya starts a job earning 85,000 a year each year her salary increases by 3% of her salary the previous year. she works at the job for 5 years. how much money did naya earn in the 5 years?
Naya earns a total of $98538.30 in the 5th year
How much money did naya earn in the 5 years?Naya starts with a salary of $85,000 per year, and her salary increases by 3% each year.
So, her salary in year 5 will be:
Salary = Initial salary * (1 + rate)^5
So, we have
Salary = 85000* (1 + 3%)^5
Evaluate
Salary = 98538.30
Hence, the 5th year earnings is 98538.30
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SHARKS The average length of a whale shark is 24.821 feet long. The average whale shark is 13.319 feet longer than the average length of a great hammerhead shark (x)? What is the average length of a great hammerhead shark?
Answer:
11.502
Step-by-step explanation:
pls hlp thx sososos much
The measure of the angle MSP, m∠MSP, obtained using the relationship between linear pair angles is 80°
What are linear pair angles?Linear pair angles are angles that have a sum of 180°. Linear pair angles come together to form a straight line.
The specified measure of the angle NSM is m∠NSM = 100°
The angles ∠NSM and ∠MSP are linear pair angles therefore;
m∠NSM + m∠MSP = 180°
Plugging in the known value of the angle NSM, we get;
100° + m∠MSP = 180°
Therefore; m∠MSP = 180° - 100° = 80°
The measure of the angle MSP, m∠MSP is 80°
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A 6-sided number cube with sides labeled 1,2,3,4,5 is rolled 50 times what a good protection is
A good prediction for the number of times a 5 will be rolled out of 50 rolls of a 6-sided number cube is 8 times.
Assuming the number cube is fair and each outcome has an equal probability of occurring, we can use the concept of probability to make a prediction for the number of times a 5 will be rolled.
Since there are six possible outcomes, each with a probability of 1/6, the expected frequency of rolling a 5 in one roll is:
1/6 x 50 = 8.33
This means that if the number cube is rolled 50 times, we would expect to see a 5 appear approximately 8.33 times. However, since we cannot roll a fraction of a time, we need to round this number to the nearest whole number.
Rounding 8.33 to the nearest whole number, we get:
8
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Complete question is:
A 6-sided number cube with sides labeled 1,2,3,4,5, and 6 is rolled 50 times. What is a good prediction for the number of times a 5 will be rolled?
Cylinder M and cylinder N are similar. The radius of cylinder N is equal to its height, and the ratio of the height of cylinder N to the height of cylinder M is 5: 3. The surface area of cylinder N is 256m square feet greater than the surface area of cylinder M. Find the surface area of each cylinder,
The surface area of cylinder M is approximately 184.85 square feet, and the surface area of cylinder N is approximately 401.92 square feet.
How do we find the surface area of both cylinders?Let r_N and h_N be the radius and height of cylinder N, and r_M and h_M be the radius and height of cylinder M. We are given that the radius of cylinder N is equal to its height (rN = hN), and the ratio of the height of cylinder N to the height of cylinder M is 5 : 3.
So, we can write:
hN = rN
hN / hM = 5 / 3
The surface area formulas for cylinders M and N:
Surface Area (M) = 2πr_MhM + 2πr_M^2
Surface Area (N) = 2πrNhN + 2πrN^2
If Surface Area (N) = Surface Area (M) + 256
∴ 2πrNhN + 2πrN^2 = 2πrMhM + 2πrM^2 + 256
Combine like terms:
4πrN^2 = 2πrMhM + 2πrM^2 + 256
Divide both sides by 2π:
2rN^2 = rMhM + rM^2 + 128/π
Since hN = rN, we can write:
hM = (3/5)rN
Now substitute hM into equation
2rN^2 = rM((3/5)rN) + rM^2 + 128/π
2rN^2 = (3/5)rN x ((3/5)rN) + ((3/5)rN)^2 + 128/π
= 2rN^2 = (9/25)rN^2 + (9/25)rN^2 + 128/π
= 2rN^2 = (18/25)rN^2 + 128/π
rN = 5.64, hN = 5.64,
rM = 5.64 x (3/5) = 3.38
rM = 3.38.
let's calculate the surface areas:
Surface Area (M) = 2π(3.38)(3.38) + 2π(3.38)^2 ≈ 71.15 + 113.70 ≈ 184.85 square feet
Surface Area (N) = 2π(5.64)(5.64) + 2π(5.64)^2 ≈ 200.96 + 200.96 ≈ 401.92 square feet
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PLEASE ANSWER ASAP
IT WOULD BE HELPFUL
The volume of the solid figure bis 1465. 33 in³
How to determine the volumeThe formula for the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters are;
V is the volume of the cylinderr is the radius of the cylinderh is the height of the cylinderFrom the information given, we have;
Volume = 3.14 × 4² × 18
Multiply the values
Volume = 904. 32 in²
Volume of the smaller cylinder
Volume = 3.1 4 × 4 × 18
Volume = 226. 08 in³
Volume of a cone = πr²h/3 = 3.14 × 8² × 5/3
Multiply the values
Volume = 334. 93 in³
Then, the volume of the solid = 904. 32 + 226. 08 + 334. 93 = 1465. 33 in³
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Halp me this question
Answer:
3 + 7 = 10
Step-by-step explanation:
I hope this answers your question. :)
Answer: 3+7=10
Step-by-step explanation:
maybe this is it but this question is really unclear
What is the measure of Arc A U? 44° 50° 64° 92°
The measure of Arc AU is 50⁰. Hence, the correct option is B.
An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
arc QU = 88 and <QUA = 111
QDA = 2 <QUA
= 2 X 111
= 222⁰
Now, QUA = 360- 222 = 138
arc AU = QUA - arc QU
= 138- 58
= 50⁰
Hence, the measure of AU is 50⁰.
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-- The given question is incomplete, the complete question is attached below. --
Answer:
50⁰
Step-by-step explanation:
The measure of Arc AU is 50⁰. Hence, the correct option is B.
An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
Edge 2023
the nurse researcher is reading about multiple regression. what is multiple regression? a. method of predicting a continuous independent variable on the basis of two or more predictor variables b. method of predicting a continuous dependent variable on the basis of two or more independent variables c. make predictions about the values of two variables based on values of a third and fourth variables d. make predictions about the values of one continuous variable based on values of a second variable
Method of predicting a continuous dependent variable on the basis of two or more independent variables. The correct answer is (b)
What is Multiple regression ?Multiple regression is a statistical technique used to examine the relationship between a single dependent variable and multiple independent variables.
It is a type of regression analysis that can help to identify which independent variables are related to the dependent variable and to what extent.
The goal of multiple regression is to create a model that can be used to predict the value of the dependent variable based on the values of the independent variables.
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Solve the following quadratic equation for all values of x in simplest form. 2 ( x+ 8 ) ^2 + 9 =29
Answer:
x = -8 + sqrt(10) and x = -8 - sqrt(10)
Step-by-step explanation:
The quadratic equation to be solved is:
2(x + 8)² + 9 = 29
First, we need to simplify the left-hand side of the equation by expanding the squared term:
2(x + 8)(x + 8) + 9 = 29
Simplifying further, we get:
2(x² + 16x + 64) + 9 = 29
Distributing the 2, we get:
2x² + 32x + 128 + 9 = 29
Combining like terms, we get:
2x² + 32x + 137 = 29
Subtracting 29 from both sides, we get:
2x² + 32x + 108 = 0
Dividing both sides by 2, we get:
x² + 16x + 54 = 0
We can solve this quadratic equation by factoring or by using the quadratic formula :
The equation presented is a quadratic equation in standard form, ax² + bx + c = 0, where a = 1, b = 16, and c = 54. To solve this equation, we can use the quadratic formula, x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values, we get x = (-16 ± sqrt(16² - 4(1)(54))) / 2(1) = (-16 ± sqrt(16)) / 2 or (-16 ± 2sqrt(10)) / 2. Simplifying, we get x = -8 ± sqrt(10). Therefore, the two solutions to this equation are x = -8 + sqrt(10) and x = -8 - sqrt(10).
Rectangular prism a measures 3 inches by 4 inches by 8 inches. Rectangular prism b measures 5 inches by 5 inches by 6 inches. A before doing any calculations predict which prism has greater surface area to volume ratio. B. Calculate the surface area volume, and surface area to volume ratio for each prism
Before doing calculations we can predict rectangular prism A has greater surface area to volume ratio than that of rectangular prism B.
The surface area of rectangular prism A is 136 square inches and that of B is 170 square inches. And the ratio of surface area to volume of rectangular prism A is 1.4167 square inches/ cubic inches (approximately) and that of B is 1.1334 square inches/ cubic inches (approximately).
Rectangular prism A has dimension as,
length = 3 inches , breadth = 4 inches and height = 8 inches
Rectangular prism B has dimension as,
length = 5 inches , breadth = 5 inches and height = 6 inches
The surface area of rectangular prism can be calculated using the formula = 2( length*breadth + length*height + height*breadth)
Therefore, surface area of rectangular prism A = 2{ (3*4) + (3*8) + (4*8)} square inches =136 square inches (that is, 136 [tex]inches^{2}[/tex])
Surface area of rectangular prism B = 2{ (5*5) + (5*6) + (5*6)} square inches =170 square inches (that is, 170 [tex]inches^{2}[/tex])
The volume of rectangular prism can be calculated using the formula = length * breadth * height (in cubic unit)
Therefore, volume of rectangular prism A = (3)(4)(8) cubic inches =96 cubic inches (that is, 96 [tex]inches^{3}[/tex] )
Volume of rectangular prism B = (5)(5)(6) cubic inches =150 cubic inches (that is, 150 [tex]inches^{3}\\[/tex] )
Therefore, ratio of surface area to volume of rectangular prism A = (136/96) square inches/ cubic inches = 1.4167 square inches/ cubic inches (approximately)
Ratio of surface area to volume of rectangular prism B = (170/150) square inches/ cubic inches = 1.1334 square inches/ cubic inches (approximately)
Thus, ratio of surface area to volume of rectangular prism A is greater than that of rectangular prism B.
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