Answer:
A
Step-by-step explanation:
I Hope this helps you out!
Eliza claims that the two squares are congruent. The statement that could be used to prove Eliza's claim can be found in Option A.
Any two squares are congruent since all squares have angles of 90 degrees.
A figure is said to be congruent if they have similar angles and the position of each shape corresponds to each other.
From the given figure attached to the question, we can see that the two shapes in the figure are squares, and they are located at 2 units each from the origin. The angles of each shape are 90° to the horizontal line and they are perpendicular to each other.
The two squares may not be congruent since not only translation carries one square onto the other, from the figure in the question, it may be a reflection and not only translation.
Also, only the sides of a shape cannot be used as a determining factor to determine if a shape is congruent or not.
Therefore, we can conclude that any two squares are congruent since all squares have angles of 90 degrees.
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find the measure of
Answer:
46°
Step-by-step explanation:
D = 90° - 44° = 46°
1. What is the m2<5? Explain how you know. (2 points)
2.What is the measure of the sum of the angles in a triangle? (2 points)
3. L3 is in a triangle with L4 and L5. Write and solve an equation to find the m L3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. L2 is in a straight line with L1 and L3. Write and solve an equation to find the m L2 (2 points)
Re-write the quadratic function below in Standard Form
y=−2(x−8)(x−2)
y = -2(x - 8)(x - 2)
y = -2(x² -2x -8x +16)
y = -2(x² - 10x + 16)
y = -2x² + 20x - 32
Answer:
y= −2x^2+20x−32
Step-by-step explanation:
y = −2(x−8)(x−2)
= - 2(x^2 - 10x +16)
= - 2x^2 - (-10x)-2. 16
= - 2x^2 +20x - 32
Will works 7hours a day, 6 days a week.
He is paid £9.20 an hour
He shares his wages with his Mum in the ratio Will : Mum = 5:2
You must show your workings
Will is saving all of his share to buy a car
How many weeks will it take him to afford a car worth £1932?
It will take Will 7 weeks to save enough to afford a car worth £1932.
First, we need to calculate how much Will earns in a week.
Will's daily pay = £9.20 x 7 hours = £64.40
Will's weekly pay = £64.40 x 6 days = £386.40
Next, we need to calculate how much Will's share is, using the ratio 5:2.
Total ratio units = 5 + 2 = 7
Will's share ratio units = 5/7
Mum's share ratio units = 2/7
Will's share of the weekly pay = £386.40 x 5/7 = £276.00
Now we can calculate how many weeks it will take Will to afford a car worth £1932.
Will's savings per week = £276.00
Total savings needed for the car = £1932.00
Number of weeks to save enough = £1932.00 ÷ £276.00 per week = 7 weeks (rounded down)
Therefore, it will take Will 7 weeks to save enough to afford a car worth £1932.
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HELP QUICK PLEASE!!!!
Answer:
41.8°, 138.2° and 401.8°
Step-by-step explanation:
Given the expression;
\(3sin^2x + 4sinx - 4 = 0\)
Let P = sinx
The expression becomes;
3P²+4P - 4 = 0
Factorize
3P²+6P-2P - 4 = 0
3P(P+2)-2(P+2) = 0
3P-2 = 0 and P+2 = 0
P = 2/3 and -2
When P = 2/3
sinx = 2/3
x = arcsin 2/3
x = arcsin 0.6667
x = 41.8 degrees
Also if P = -2
sinx = -2
x = arcsin (-2)
x will not exist in this case
To get other values of x
sin is positive in the second quadrant
x = 180 - 41.8
x = 138.2°
x = 360+41.8
x = 401.8°
Hence the values of x within the interval are 41.8°, 138.2° and 401.8°
Liz is shipping a package to her friend. The maximum weight of a medium flat rate box is 20 pounds , including the box which weighs 6 ounces Write and solve an inequality to describe the possible weight in pounds , wof the contents that will ship to her friend she must medium flatrate box Use the drop-down menus to explain your answer
Answer:
19.625 pounds. i think
Step-by-step explanation:
solvle the equation 18×4(4÷393)-36+8
The given expression is
18×4(4÷393)-36+8
We would simplify by applying the correct order of operations which is known as PEDMAS where
P represents parentheses
E represents exponents
D represents division
M represents multiplication
A represents addition
S represents subtraction
Thus, we would simplify the terms in the parentheses first.
4/393
Then we would multiply 4/393 by 18 * 4. It becomes
18 * 4 * 4/393 = 288/393
The expression becomes
288/393 - 36 + 8
The next step is to add 36 and 8
36 + 8 = 44
The expression becomes
288/393 - 44
= (288 + 17292)/393
= 17580/393
Assessment started: undefined.
Item 1
In this polygon, all angles are right angles.
What is the area of this polygon?
PLEASE HELP ME
Seven years ago, Mrs Grey decided to invest R18 000 in a bank account that paid simple interest at 4,5% p.a. 4.1.1 Calculate how much interest Mrs Grey has earned over the 7 years. 4.1.2 Mrs Grey wants to buy a television set that costs R27 660,00 now. If the average rate of inflation over the last 5 years was 6,7% p.a., calculate the cost of the television set 5 years ago. 4.1.3 At what rate of simple interest should Mrs Grey have invested her money 7 years ago if she intends buying the television set now using only her original investment of R18 000 and the interest earned over the last 7 years?
The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.
4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:
Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.
4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:
Cost 5 years ago = Cost now / (1 + Inflation rate)^Time
Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.
4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:
Rate = Interest / (Principal x Time)
Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.
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triangle A’ B’ C’ is the image of triangle ABC
pls help i am so stuck!
The horizontal change from triangle ABC to triangle ABC include the following: A. right 5 units.
The vertical change from triangle ABC to triangle ABC include the following: C. down 2 units.
The translation rule in the standard format is: (x, y) → (x + 5, y - 2).
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
By translating the pre-image of triangle ABC horizontally right by 5 units and vertically down 2 units, the coordinate A of triangle ABC include the following:
(x, y) → (x + 5, y - 2)
A (3, 5) → (3 + 2, 5 - 2) = A' (5, 3).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the value of 1/4m +n 8 - 6 = 12 *
Answer:
i dont know if you want me to solve for m
Step-by-step explanation:
Let's solve for m.
Find the volume of the pyramid.
7 yd
A. 280 yd'
OB. 204 yd'
OC. 226 yd¹
OD. 840 yd'
answer: D.840 yards
Step-by-step explanation:
as to find volume of any 3 d shape we multiply l×b×h to find the volume
7×10×12=840
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All stereos are 20
%
off of the original price. If stereos normally cost $160, what is the sale price?
Answer:
128 dollars
Step-by-step explanation:
hope it helped! :)
Two quantities have a relation between them will have a curved graph
the heights of a certain species of plant are normally distributed, with mean cm and standard deviation cm. what is the probability that a plant chosen at random will be will be between and cm tall?
To find the probability that a plant chosen at random will be between and cm tall, we need to use the normal distribution formula. We know that the mean height of the plant is cm and the standard deviation is cm.
First, we need to standardize the values of and by subtracting the mean and dividing by the standard deviation:
Z1 = ( - ) / = ( - ) /
Z2 = ( - ) / = ( - ) /
Next, we use a standard normal distribution table or calculator to find the area under the curve between these two Z-values. This area represents the probability that a plant chosen at random will have a height between and cm.
Alternatively, we can use the normal distribution function on a calculator or software to find the probability directly. The formula for the normal distribution function is:
P( < X < ) = 1/2[erf(( - )/sqrt(2)) - erf(( - )/sqrt(2))]
where erf is the error function.
Using either method, we can find that the probability that a plant chosen at random will be between and cm tall is approximately %.
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How many texts do you send in one day (teenagers) on average? I need this data for a stats lab!!!!
Hi I have statistics work. (For college) Can anyone help me? I will pay you $10. Please only do it if you actually know how to do college statistics because it’s pretty hard
Chi-square distributions that are positively skewed have a research hypothesis that is?
Answer:
A one tailed test
Step-by-step explanation:
Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.
Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.
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One-Tailed Test
In probability theory and statistics, the chi-square distribution with k degrees of freedom is the distribution of the sum of squares of k independent standard normal random variables. The chi-square distribution is a continuous probability distribution. The shape of the chi-square distribution depends on its degrees of freedom k. It is used to describe the distribution of the sum of squares of random variables. The chi-square distribution is positively skewed, with decreasing skewness as the degrees of freedom increase. The chi-squre distribution approaches the normal distribution on increase of degree of freedom.Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.
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I don’t now how to do it please help
y = 3x-2
slope
y-intercept =
Answer:
The slope is 3 and the y-intercept is -2
Step-by-step explanation:
The slope will always be the point by the x and the y-intercept is where the line crosses the y axis.
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is __
O 31.6% O 46.3% O 44.5% O43.6%
When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.
The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:
Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)
where
P = Sample proportion
Q = 1 - P
n = Sample Size
Z Score is obtained from the Z-Table where the confidence level is given.
To obtain the upper limit, the following formula should be used:
Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)
Substitute the given values of the question into the formula:
P = 114/293 = 0.3891
Q = 1 - 0.3891 = 0.6109
n = 293
The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:
Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]
≈ 0.3891 + 1.645 x 0.0467
≈ 0.3891 + 0.07701
≈ 0.4661 = 46.3%
Therefore, the answer is 46.3%.
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Answerr this. Will also give branliest. helpp
Answer:
Angles 1 and 9 are corresponding angles
2 and 3 same side interior angles
8 and 12 are OTHER
6 and 12 are alternate interior
1 and 2 are linear pairs
15 and 11 are alternate interior
8 and 9 are same side interior
2 and 4 are corresponding
Step-by-step explanation:
Use the graph!
Brainliest??Hope it helped!
∠1 and ∠9 = Corresponding angles
∠2 and ∠3 = Same side interior angles
∠8 and ∠12 = Other
∠6 and ∠12 = Alternate interior angles
∠1 and ∠2 = Lineae pair
∠15 and ∠11 = Alternate interior angles
∠8 and ∠9 = Same side interior angles
∠2 and ∠4 = Corresponding angles
data collected at toronto pearson international airport suggests that an exponential distribution with mean value 2.725 hours is a good model for rainfall duration (urban stormwater management planning with analytical probabilistic models, 2000, p. 69). a. what is the probability that the duration of a particular rainfall event at this location is at least 2 hours? at most 3 hours? between 2 and 3 hours?
The probability that the duration of rainfall at least 2 hours is 0.473, at most 3 hours is 0.683, and between 2 and 3 hours is 0.156.
How to find probability?1. Find the rate parameter (λ):
λ = 1/2.725 ≈ 0.367
2. To find P(X ≥ 2):
P(X ≥ 2) = 1 - P(X < 2).
The (pdf) is:
P(X < x) = 1 - e^(-λx)
P(X < 2) = 1 - e^(-0.367 * 2) ≈ 0.527
P(X ≥ 2) = 1 - 0.527 ≈ 0.473
3. To find P(X ≤ 3):
P(X ≤ 3) = 1 - e^(-0.367 * 3) ≈ 0.683
4. To find P(2 ≤ X ≤ 3):
P(2 ≤ X ≤ 3) = P(X ≤ 3) - P(X ≤ 2) = 0.683 - 0.527 ≈ 0.156
The probability that duration at least 2 hours is 0.473, at most 3 hours is 0.683, and between 2 and 3 hours is 0.156.
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Select the correct answer.
Answer the question based on the data in the two-way table.
Gender Below
Boy
Girl
Total
Grades
Above
Average Average
14
23
22
45
16
30
Which statement is true?
Total
37
38
75
OA. P(boylabove average grades) = P(boy)
OB. P(above average grades/boy) = P(above average grades)
P(boyjabove average grades) # P(above average grades)
D. P(above average grades/boy)=P(boy)
P(above average grades/boy) = P(above average grades). The correct option is B
What is probability ?The likelihood that a male will have grades above average is 23/37, or roughly 62%. 38/75, or almost 51%, of students are expected to have grades above average.
Statement A is untrue since the two probabilities do not equal one another. The probability of a guy having above-average grades is not the same as the probability of a student having above-average grades, hence Statement C is also untrue. Statement D is untrue since a boy's chance of being chosen is not the same as his chance of earning above-average grades.
Given that he was chosen, the likelihood of a boy obtaining above-average grades is the same as the likelihood that he will. This is so that the likelihood that a boy will have above-average grades is unaffected by the selecting procedure.
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Pls help 10 points + Brainliest
Challenge 5-Exp
Enter the equation for the dotted exponential graph!
The exponential function for this problem is defined as follows:
y = 0.5(2/3)^x + 2.
How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x + c.
In which:
a is used to find the value of y when x = 0.b is the rate of change.c is the horizontal asymptote.From the graph of the function, the horizontal asymptote is at y = 2, hence the parameter c is given as follows:
c = 2.
When x increases by 1, y is multiplied by 2/3, hence the parameter b is given as follows:
b = 2/3.
When x = 0, y = 2.5, hence the parameter a is obtained as follows:
a + c = 2.5.
a + 2 = 2.5
a = 0.5.
Meaning that the function is defined as follows:
y = 0.5(2/3)^x + 2.
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pls answer asap i need help!!
Answer:
jogging chinmkin
Step-by-step explanation:
charlizard
hoho
Len bought 12.3 ounces of cashews and 15.2 ounces of almonds.
He calculates that if he and four friends share all the nuts equally,
each person will receive 5.1 ounces of nuts.
Which is the best explanation for whether or not his answer is reasonable?
A. Not reasonable; 12.3 + 15.2 = 25.5 and 25.5 ÷ 5 = 4.5.
B. Not reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.5.
C. Reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.1.
D. Reasonable; 12.3 + 15.2 = 25.5 and 25.5 ÷ 5 = 5.1.
Answer:
B
Step-by-step explanation:
Total ounces of nuts is cashews (12.3 ounces) plus almonds (15.2 ounces) is 27.5 ounces. If you divide 27.5 ounces by 5 people, 27.5 / 5 = 5.5 ounces each.
100 POINTS! Write a system of three linear equations with three variables each that has the unique solution (1,2,-1). Write your equation in standard form. Use the variables x,y, and z with non-zero coefficients
Answer:
Three linear equations that has a unique solution (1,2,-1) are:-
x+ y+ z =2
2x + y + 3z = 1
x+ 2y+ z = 4
Step-by-step explanation:
Linear equations in three variables:-
If a, b, c and r are real numbers (and if a, b, and c are not all equal to 0)
then ax + by + cz = r is called a linear equation in three variables. (The
“three variables” are the x, the y, and the z.)
The numbers a, b, and c are called the coefficients of the equation. The
number r is called the constant of the equation.
so from from above explanation we can write 3 linear equations with three variables as.
x+ y+ z =2
2x + y + 3z = 1
x+ 2y+ z = 4
Now to check if the given point (1,2,-1) is solution or not these equations must satisfy this point,
x+ y+ z =2
1+ 2- 1 = 2
2= 2
2x + y + 3z = 1
2×1 +2 - 3×1 = 1
1=1
x+ 2y+ z = 4,
1+ 2×2 -1 = 4
4=4
therefore all three equations satisfies the given point
hence these are the three linear equation having point (1,2, -1) as the unique solution
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This is due today, someone pls help!
Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the company $1 to store a book for one year. Each time that they print additional copies, it costs the company $1,000 to set up the presses. Complete the parts below to help Jesaki minimize total storage and setup costs. NOTE: We assume that the demand is uniform. Let • x=number of books printed during each printing run y=number of printing runs
To minimize total storage and setup costs, Jesaki Publishing should print approximately 224 books during each printing run.
What is the linear function?
A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
To minimize total storage and setup costs for Jesaki Publishing, we need to consider both the storage costs and the setup costs involved in printing additional copies of the book.
Let's break down the costs involved:
Storage costs: It costs $1 to store a book for one year, and Jesaki sells 50,000 copies of the book each year. So the total storage cost per year can be calculated as 50,000 * $1 = $50,000.
Setup costs: Each time Jesaki prints additional copies, it costs $1,000 to set up the presses. The number of printing runs needed can be calculated as the total number of books printed divided by the number of books printed during each printing run (x). So the number of printing runs (y) is given by y = 50,000 / x.
Now, we can express the total cost (C) as a function of x and y:
C(x, y) = setup costs + storage costs
C(x, y) = $1,000 * y + $50,000
To minimize the total cost, we need to minimize the function C(x, y). Let's substitute the value of y in terms of x into the equation:
C(x) = $1,000 * (50,000 / x) + $50,000
C(x) = $50,000 + $50,000 / x
To find the value of x that minimizes the total cost, we can take the derivative of C(x) with respect to x and set it equal to zero:
C'(x) = -50,000 / x² = 0
Solving for x, we find x = √(50,000) ≈ 223.61.
Therefore, to minimize total storage and setup costs, Jesaki Publishing should print approximately 224 books during each printing run.
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