The dimensions of rectangle B are 4.5 inches by 3 inches. So the correct option is the first one.
What are the possible dimensions of rectangle B?
We know that the dimensions of rectangle A are 6cm by 4cm, and rectangle B is similar to rectangle A, then the two rectangles have the same shape but different size.
Notice that the ratio between the dimensions of rectangle A is:
R = 6/4 = 3/2 = 1.5
Then, any other rectangle with the same ratio will be similar to rectangle A.
If we take the ratios for the options we get:
1) 4.5 in by 3 in:
R = 4.5/3 = 1.5
So yes, this rectangle is similar to rectangle A, then these can be the dimensions of rectangle B.
Then we conclude that the dimensions of rectangle B are 4.5 inches by 3 inches, and thus, the correct option is the first one.
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The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic.
The line represented by the table is:
y = 2x + 40
How to find the linear relationship?A general linear relationship is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
If the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
We can use the first two pairs:
(6, 52) and (9, 58)
Then we will get:
a = (58 - 52)/(9 - 6)
a = 6/3 = 2
y = 2x + b
To find the value of b, we replace the values of one of the points, if we use the first one (6, 52), then we will get:
52 = 2*6 + b
52 = 12 + b
52 - 12 = b
40 = b
The line is:
y = 2x + 40
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6 is 2/3 of what number
Answer:
9
Step-by-step explanation:
Let that number be x whose 6 is two thirds. Now we need to find here the value of x .
So,
\(\underline{\boldsymbol{ According\ to \ the \ Question :- }}\)
=> x × ⅔ = 6
=> x = 6*3/2
=> x = 9
The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?.
The function D represents the cost is $175 for of x towels.
For the first 20 towels, the equation is simply 5x.
The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.
What is the meaning of maximum cost of 20 towels?
Replace x by 20 in given expression we get the maximum cost
So the maximum cost of those 20 towels is $5 (20)=$100.
Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,
Therefore we get,
3(x-20)+100
Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.
Let's try it for 45 towels using the formula
3 (45-20)+ 100
=3(25) + 100
=75+ 100
= $175
The function D represents the cost is $175 for of x towels.
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Answer:
d
Step-by-step explanation:
edge 2022
How many ways can five people line up at a checkout counter in a supermarket?
The number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
Since order is important, we use permutations to answer the question
What are permutations?These are the number of ways, x of arranging n objects. It is given by ⁿPₓ = n(n - 1)(n - 2)(n - 3)...(n - x + 1) = n!/(n - r)!
Since we have five people to be arranged in line, there are 5 people to be arranged in 5 places.
So, there are 5 places for the first person, 4 places for the second person, 3 places for the third person, 2 places for the fourth person and 1 place for the last person.
So, we number of permutations or number of ways of arranging them in line is ⁵P₅ = 5 × 4 × 3 × 2 × 1
= 120 ways
So, the number of ways we can have five people line up at a checkout counter in a supermarket is 120 ways.
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Round 66367 to the nearest hundred
Answer:
66400
Step-by-step explanation:
the third digit is the hundredth digit, the fourth is 6, therefore rounding up, not down.
Can someone help me with this please
Answer:
Try C
Step-by-step explanation:
I hope that this is right
n - 10 + 9n - 3 = 10n - 13
How do you get that answer?
Answer:
10n=10n
Step-by-step explanation:
n-10+9n-3=10n-13
n+9n
10n-10-3=10n-13
-10-3
10n-13=10n-13
+13 +13
10n=10n
ZX and zy or supplementary angles. zy measures 49 degrees what is the measure of ZX
Answer:
131˙
Step-by-step explanation:
Supplementary angles are angles that add up to 180˙. If you subtract 49 from 180, you get 131.
Brainliest? Maybe?
Suppose the heights of women at a college are approximately Normally distributed with a mean of 64 inches and a population standard deviation of 2.0 inches. What height is at the 45th ​percentile?
The height at the 45th percentile is approximately 63.75 inches.
The height at the 45th percentile, we can use the z-score formula:
z = (x - μ) / σ
where:
x is the height we want to find
μ is the population mean, which is 64 inches
σ is the population standard deviation, which is 2.0 inches
z is the z-score corresponding to the 45th percentile, which we can find using a standard normal distribution table or calculator.
The z-score corresponding to the 45th percentile, we can use the inverse normal cumulative distribution function (also called the inverse Gaussian function) with a probability of 0.45:
z = invNorm(0.45) = -0.1257 (rounded to four decimal places)
Now we can solve for x:
z = (x - μ) / σ
-0.1257 = (x - 64) / 2.0
-0.1257 × 2.0 = x - 64
-0.2514 + 64 = x
x = 63.7486
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What is m<1?
Plzzz I need help
Answer:
130 bc its the alternate exterior angle of angle D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
interior angle for triangle is 180 if you want to find it you have to find interior angle for d and then 180-70-the interior angle for d and then you will get answer for b2 and then 180-b2 and you will get 120
Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop. How much she make in a workweek if she sold $4,800 worth of merchandise?
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.
How to calculate the value?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.
The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:
= $365 + (5% × $4800)
= $605
The amount is $605.
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25 POINTS GIVING BRAINLIEST TO WHOEVER ANSWERS UT RIGHT!!A right triangle has hypotenuse with a length of 13 cm. The length of one leg is 5 cm. What is the area of the triangle?
A.65
B.60
C.32.5
D.30
Answer:
Hello! answer: 30
Step-by-step explanation:
13 × 13 = 169
5 × 5 = 25
169 - 25 = 144
12 × 12 = 144 therefore 12 is the missing leg
so we will use this to find the area so...
12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!
3(5x-2)=15x-6 is their a solution or no
Answer: 0 = 0
Step-by-step explanation: there is no solution
It took 6 days for a committee of 12 pupils to clean the auditorium for a school program. How many days would it have taken a committee of 8 pupils to do the same work? *
It would take the committee of 8 students 9 days to clean the auditorium
How many days would the committee of 8 students takeFrom the question, we have the following parameters that can be used in our computation:
6 days for a committee of 12 pupils
This means that
Rate = 6 days * 12 pupils
Evaluate
Rate = 72 day * pupils
Using the above as a guide, we have the following:
Days = Rate * Pupils
Substitute the known values in the above equation, so, we have the following representation
Days = 72/8
Evaluate
Days = 9
Hence, the number of days is 9
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ms. crawford bought a large bag of plastic shapes that her students can use to build 3d figures. she was curious what color shapes she received, so she randomly selected some shapes from the bag. here are the colors of the shapes she selected: blue, green, yellow, green, blue, blue, orange, green, yellow, blue, green, blue based on the data, what is the probability of selecting a blue shape? write your answer as a fraction or whole number.
To find the probability of selecting a blue shape, the probability of selecting a blue shape from the bag of plastic shapes is 5/12 or 0.4167 (rounded to four decimal places).
To find the probability of selecting a blue shape, we need to determine the number of blue shapes selected and divide it by the total number of shapes selected. From the given data, we can see that out of the 12 shapes selected, 5 of them are blue.
Therefore, the probability of selecting a blue shape is 5/12.
In probability, the probability of an event occurring is calculated by dividing the number of favorable outcomes by the number of possible outcomes. In this case, the favorable outcome is selecting a blue shape, and the possible outcomes are the total number of shapes selected. By dividing the number of blue shapes (5) by the total number of shapes selected (12), we obtain the probability of 5/12. This means that there is approximately a 41.67% chance of selecting a blue shape from the bag of plastic shapes.
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at a school pep rally, a group of sophomore students organized a free raffle for prizes. they claim that they put the names of all of the students in the school in the basket and that they randomly drew 36 names out of this basket. of the prize winners, 6 were freshmen, 14 were sophomores, 9 were juniors, and 7 were seniors. the results do not seem that random to you. you think it is a little fishy that sophomores organized the raffle and also won the most prizes. your school is composed of 30% freshmen, 25% sophomores, 25% juniors, and 20% seniors. a. what are the expected frequencies of winners from each class? b. conduct a significance test to determine whether the winners of the prizes were distributed throughout the classes as would be expected based on the percentage of students in each group. report your chi square and p values.
The winners of the prizes are distributed throughout the classes as per the percentage of students in the respective group.
The total number of surveyed students is 36.
We calculate the expected number of students for each class is:
Class
Expected Frequency
Freshman
30% of 36 = 10.8
Sophomore
25% of 36 = 9
Junior
25% of 36 = 9
Senior
20% of 36 = 7.2
(b)
We set up:
H0: The number of observed winners is indifferent to the number of expected winners.
H1: The number of observed winners is not indifferent to the number of expected winners.
The Test Statistic Calculation Table:
Class Observed Frequency (fi) Expected Frequency (ei) (fi -ei )² /ei
Freshman 6 10.8 2.1333
Sophomore 14 9 2.7778
Junior 9 9 0
Senior 7 7.2 0.0056
Total = 36 36 4.9167
The calculated
\(x^{2}\) = 4.9167
The p-value for 4 - 1=3 degree of freedom for the above test score is 0.177999.
(c)
Since p-value (=0.177999) > α0..05 (standard level of significance),
H0 is failed to be rejected.
The number of observed winners is concluded to be indifferent to the number of expected winners, i.e., the winners of the prizes are distributed throughout the classes as per the percentage of students in the respective group.
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Please help me!! This a mathematical question. I will be so happy if someone helps me♂️
Answer:
The answer is the fourth one.
\(\frac{1}{r^7} +\frac{1}{s^12}\)
Step-by-step explanation:
Solve the application.
A mason's assistant's rate of pay is $0.75 per cubic foot of earth moved. He moves 220 cubic feet of earth to dig a trench. What is his pay for this job?
$_________
The mason's assistant's pay for the job is $165.
To find the mason's assistant's pay for the job, we need to multiply the rate of pay per cubic foot by the number of cubic feet moved.
Rate of pay per cubic foot = $0.75
Number of cubic feet moved = 220
Pay for the job = $0.75 x 220 = $165
Therefore, the mason's assistant's pay for the job is $165.
The mason's assistant will earn $165 for this job.
To calculate the pay for the mason's assistant, follow these steps:
1. Determine the rate of pay per cubic foot: $0.75
2. Determine the total amount of cubic feet moved: 220 cubic feet
3. Multiply the rate of pay by the total cubic feet moved: $0.75 x 220
By multiplying the rate of pay ($0.75) by the total cubic feet moved (220), you get the total pay for the job:
$0.75 x 220 = $165
The mason's assistant will be paid $165 for moving 220 cubic feet of earth to dig the trench.
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what if you are asked to find n-1 numbers such that their sum is x? can you find it in polynomial time? if so, what is your solution and the running time? if not, why not. you may assume that you can add any two numbers in constant time.
It is unlikely that an algorithm for finding n-1 numbers such that their total equals x exists in polynomial time because the Subset Sum problem is NP-complete.
Finding a subset of n integers such that their total equals x from a given set of n-1 numbers are identical to the task at hand. Unfortunately, there is no known polynomial-time solution for solving this problem, which is also known as the Subset Sum problem and is a well-known NP-complete problem.
Consider the following reduction from the Subset Sum problem to understand why this is the case: Create a new set S' by adding a single element x to the original set S after receiving a Subset Sum problem instance consisting of a set S of n integers and a goal sum x.
Take into account the reduction from the Subset Sum problem to see why this is the case: Create a new set S' by adding a single element x to the existing set S in a case of the Subset Sum problem where the inputs are a set S of n integers and a goal sum x. Discover a subset of the n-1 items in S' that add up to x.
Therefore, It is unlikely that an algorithm for finding n-1 numbers such that their total equals x exists in polynomial time because the Subset Sum problem is NP-complete.
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can anyone help me with this I tried to do it but i got to the wrong answer so i need help.
To use the quadratic formula, we need to identify the values of a, b, and c.
1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.
2. x = (-b ±√(b² - 4ac))/2a.
3. x = (3 ±√137)/8.
What is Quadratic Formula?The Quadratic Formula is a mathematical equation used to solve second-degree equations.
To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.
In this case, the equation is
4x² - 3x - 8 = 0,
so a = 4, b = -3, and c = -8.
Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:
x = (-b ±√(b² - 4ac))/2a.
In this equation, a = 4, b = -3, and c = -8, so the equation becomes
x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).
Simplifying, we get x = (3 ±√(9 + 128))/8.
Finally, solving for x yields x = (3 ±√137)/8.
Therefore, the solution to the equation is
x = (3 ±√137)/8.
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can someone please explain how you do probability?
Answer:
Step-by-step explanation:
There are countless different types of probability problems. In the very simplest of terms probability is the ratio of the number of specific outcomes divided by the total number of possible outcomes.
You take a taxi to your sisters home. The driver charges you $8 for 3 kilometers and $2 for each additional kilometer. If you paid a total of $14 how long did you travel
( PLEASE HURRY WILL GIVE BRAINLIEST IF CORRECT )
Which algebraic rule describes the translation of ∆DEF to ∆D’E’F?
o A. (x, y) ⮕ (x + 3, y - 5)
o B. (x, y) ⮕ (x + 4, y - 3)
o C. (x, y) ⮕ (x - 3, y + 4)
o D. (x, y) ⮕ (x - 4, y + 3)
Answer:
B
Step-by-step explanation:
Consider the coordinates of a vertex , say D and D'
D (- 1, 5 ) and D' (3, 2 )
- 1 → 3 in the x- direction is + 4
5 → 2 in the y- direction is - 3
Translation rule is
(x, y ) → (x + 4, y - 3 )
Jimmy wants to serve iced tea at his birthday party. He purchased 14 containers. Each container is filled with 1.5 liters of tea .approximately how gallons of tea did he purchased? (1 gallon is about 3.8 liters)
Nicole measured some distances on a map of Lassen Volcanic National Park. The scale on the map is 34
inch = 2 miles. What is the actual distance from Raker Peak to Hat Mtn?
Responses
A 4 miles4 miles
B 223
miles2 2 3 miles
C 214
miles2 1 4 miles
D 212
miles2 1 2 miles
E 3 miles
Performing a change of scale we will see that the actual distance is 4 miles.
What is the actual distance from Raker Peak to Hat Mtn?We know that the scale is:
3/4 inch = 2 miles.
And the distance that Nicole found on the map is (1 + 1/2) inches.
We can rewrrite the scale as:
1 inch = (4/3)*2 miles
1 inch = (8/3) miles.
Then the actual distance will be:
distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.
The correct option is A.
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Mr. Robert is a real estate agent, he earns 5% commission of his total sales. If he sold a property for $135,000. How much commission did he receive?
Answer:
ok if I did this right the answer should be 675. sorry if it's wrong. I hope it's right.
YOU WILL GET BRAINLIEST IF YOU CAN ANSWER MY QUESTION PLEASE HELPPPP MEEE!!
Solomon says: I have drawn a triangle
It has one angle of 30* and another angle of 40*
Adeline, you draw a triangle with the same two properties
Adeline says: My triangle will be
congruent to yours, because all triangles
that have those two properties
must be congruent
Is Adeline correct to say that all triangles with these two properties must be congruent?
100 POINTS PLEASE HURRY Brianna solved a two-step equation, but she made a mistake along the way.
0.1x + 3 = 1.7
(-3) + 0.1x + 3 = 1.7 + (-3) Line 1
0.1x = -1.3 Line 2
(-0.1) + 0.1x = -1.3 + (-0.1) Line 3
x = -1.4 Line 4
What mistake did Brianna make?
On Line 1, Brianna should have subtracted 3 instead of adding -3.
On Line 1, Brianna violated the addition property of equality.
On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
On Line 3, Brianna violated the addition property of equality.
Answer:
3rd row
Step-by-step explanation:
there were multiple mistakes there ngl but out of the amswers i saw it should be that brianna should habe divided
A company that sells frozen shrimps, prints 'Contents 600 grams' on the package. Suppose it is known from past experience that the population of package weights has a variance of 53.29. Let the weights be normally distributed and determine the sample size for a 80% two-sided confidence interval for u, the mean weight (in grams), with a margin of error of 3.308. Do not round any of the values when used in the calculation. Use a DECIMAL POINT in your answer. n =
The sample size for a two-sided 80% confidence interval with a margin of error of 3.308 grams, assuming a known population variance of 53.29 grams, is 8.
This can be calculated using the formula:
n = (Z * σ / E)²
Where:
n = sample size
Z = Z-value corresponding to the desired confidence level (in this case, 80% confidence level corresponds to Z = 1.28)
σ = population standard deviation (square root of the variance, so in this case, √53.29 = 7.299)
E = margin of error
Plugging in the values:
n = (1.28 * 7.299 / 3.308)²
n = (9.33872 / 3.308)²
n = 2.824²
n = 7.968
Therefore, the sample size required is approximately 7.968. Since the sample size must be a whole number, we should round it up to 8 to ensure an adequate sample size.
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if f(x)=5x-1 and g(x) 2x^2 +1, what is 6he value of (f×g)(-3)
Answer: D
Step-by-step explanation:
\(f(3)=5(-3)-1=-16\\\\\\g(3)=2(-3)^{2}+1=19\\\\(f\times g)(3)=-16 \times 19=\boxed{-304}\)