It costs 441 dollars to carpet the den.
How to find the cost of the carpet for the den?Two figures are similar if they have the same shape but different sizes. The corresponding angles are equal and the ratios of their corresponding sides and areas are also equal.
Using the above concept, we can equate the ratio of the corresponding sides and areas.
The ratio of the width of the den to the bedroom is:
14/10 = 7/5
The ratio of the area of the den to the bedroom is:
(7/5)² = 49/25
The ratio of the cost of carpet and area of the den to the bedroom is:
49/25 = den/225
den = 49/25 * 225
den = $441
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is y = 2/3x - 7 proportional or not?
Answer: No, it is not a direct proportion equation
Explanation:
Direct proportions are always in the form \(y = kx\) where k is any nonzero real number. So for example, we could have the equation \(y = 9x\). The y intercept of any direct proportion is always zero. Visually, such equations will go through the origin.
Something like \(y = \frac{2}{3}x-7\) has a y intercept of -7 and it doesn't fit the form \(y = kx\), so it's not a direct proportion equation.
StartUp Storage Co. has launched a new model of mobile battery in the market. Its advertisement claims that the average life of the new model is 600 minutes under standard operating conditions. StartUp's new model performance has surprised the mobile battery industry. The R&D department of MoreLife, the largest manufacturer of mobile phone batteries, purchased 10 batteries manufactured by StartUp and tested them in its lab under standard operating conditions. The results of the tests are given below- 420 022/05/21/ Count= Life (minutes) 630 620 650 620 600 590 640 590 580 630 10 m 202 640 590 76420 580 2022/05/21 630 Count= 10 Sum= 6150 Sample variance= 561.11 Test the claim made by StartUp's advertisement. Use alpha 0.05. (Do this problem using formulas (no Excel or any other software's utilities). Clearly write the hypothesis, all formulas, all steps, and all calculations. Underline the final result on the answer sheet). [Common instructions for all questions- Upload only hand-written material; only hand-written material will be evaluated. 2. Do not type the answer in the space provided below the question in the exam portal. 3. Do not attach any screenshot or file of EXCEL/PDF/PPT/any software]
Yes, based on the sample data and the hypothesis test, there is evidence to suggest that the average life of StartUp's new mobile battery model is different from 600 minutes.
Is there evidence to support the claim made by StartUp's advertisement regarding the average life of their new mobile battery model?In order to test the claim made by StartUp's advertisement regarding the average life of their new mobile battery model, the R&D department of MoreLife conducted tests on 10 batteries under standard operating conditions. The recorded lifetimes (in minutes) were as follows: 630, 620, 650, 620, 600, 590, 640, 590, 580, and 630.
To test the claim, we need to perform a hypothesis test. The null hypothesis (H0) is that the average life of the new model is 600 minutes, while the alternative hypothesis (Ha) is that the average life is different from 600 minutes.
Using a significance level of 0.05, we will perform a t-test. First, we calculate the sample mean, which is the sum of the lifetimes divided by the sample size: (630 + 620 + 650 + 620 + 600 + 590 + 640 + 590 + 580 + 630) / 10 = 615.
Next, we calculate the sample variance: sum of [(lifetime - sample mean)^2] / (sample size - 1) = 561.11.
The test statistic is given by: t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size)).
Using the formulas, we calculate the test statistic to be t = (615 - 600) / (sqrt(561.11) / sqrt(10)) = 2.632.
Finally, we compare the test statistic with the critical value from the t-distribution table. Since the test statistic (2.632) is greater than the critical value, we reject the null hypothesis.
Therefore, based on the sample data, there is evidence to suggest that the average life of StartUp's new mobile battery model is different from 600 minutes.
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NEED HELP!!!!!!!!!!!!!
Answer:
5x - 4
Step-by-step explanation:
4x - 2 + x - 2
simplify
5x - 4
hope this helps <3
help me slove this problem
The answer is D. (-160)÷8
The answer can t be a decimal therefore a and c are out. The answer has to be negative bc it was a lost. Therefore since -160 was a loss it has to be negative
Answer:
D
Step-by-step explanation:
Loss = -160
Shared between 8 owners.
So, (-160) ÷ 8
Find the volume. Of a pyramid with a height of 9cm and base square is 5x5
Answer: 225 cm^3
Step-by-step explanation:
Volume = Length * Width *Height
Volume= 5cm*5cm*9cm
Volume= 225 cm^3
Answer: 225 cm
Step-by-step explanation:
Length x width x height
5x5x9
5x5 = 25
25x9 = 225
Answer 225
A student takes a 15-question, multiple-choice exam with two choices for each question and guesses on each question. Assume the variable is binomial. Round the intermediate and final answers to three decimal places. Find the probability of guessing at least 11 out of 15 correctly.P(guessing at least 11 out of 15 correctly) =
The probability of guessing at least 11 out of 15 questions correctly is 0.059.
How to find the probability of guessing at least 11 out of 15 correctly?The probability of guessing any one question correctly is 1/2, and the probability of guessing any one question incorrectly is also 1/2.
Since each question is an independent trial with only two possible outcomes, this situation can be modeled using a binomial distribution with n = 15 (the number of trials) and p = 1/2 (the probability of success on each trial).
To find the probability of guessing at least 11 out of 15 correctly, we need to calculate the probability of guessing 11, 12, 13, 14, or 15 questions correctly, and then add these probabilities together.
Using the binomial probability formula, we can calculate the probability of guessing exactly k questions correctly as:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
where nCk is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
For k = 11, we get:
P(X = 11) = (15C 11) * (1/2)¹¹ * (1/2)¹⁵⁻¹¹ = 0.042
For k = 12, we get:
P(X = 12) = (15 C 12) * (1/2)¹² * (1/2)¹⁵⁻¹²= 0.014
For k = 13, we get:
P(X = 13) = (15 C 13) * (1/2)¹³ * (1/2)¹⁵⁻¹³ = 0.003
For k = 14, we get:
P(X = 14) = (15C14) * (1/2)¹⁴ * (1/2)¹⁵⁻¹⁴ = 0.000
For k = 15, we get:
P(X = 15) = (15C15) * (1/2)¹⁵ * (1/2)¹⁵⁻¹⁵= 0.000
To find the probability of guessing at least 11 out of 15 correctly, we add these probabilities together:
P(guessing at least 11 out of 15 correctly) = P(X >= 11) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.059
Therefore, the probability of guessing at least 11 out of 15 questions correctly is 0.059.
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what is the standard form for y+2=4/5 (x+4)
The equation in its standard form is 4x - 5y = -6
How to determine the standard form of the equation?From the question, we have the equation to be
y+2=4/5 (x+4)
Start by multiplying both sides of the equation by 5
So, we have
5(y + 2) =4/5 (x+4) * 5
Evaluate the products
This gives
5y + 10 =4 (x+4)
Next, we open the brackets
So, we have the following representation
5y + 10 =4x + 16
Collect the like terms
4x - 5y = 10 - 16
Evaluate the like terms
This gives
4x - 5y = -6
Hence, the standard form of the equation is 4x - 5y = -6
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Show all work and express your answers in scientific notation.
2.4 hours = ____________ seconds
Answer:
8640
Step-by-step explanation:
Take 2.4 hours, And 1 hour is 60 minutes, and 1 minute has 60 seconds, so 1 hour has 3600 seconds, Do one more hour and you have 7200 seconds, Now you need to add another .4 hours, .4 hours is equal to 40 minutes, so how many seconds are in 40 minutes? 1440 seconds are in 40 minutes, so add 7200 and 1440 and you get 8640.
HELP PLS I'M CONFUSED PLS HELP Use the figure to answer the question that follows:
Segments UV and WZ are parallel with line ST intersecting both at points Q and R respectively
When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent:
Statements Reasons
segment UV is parallel to segment WZ Given
Points S, Q, R, and T all lie on the same line. Given
I m∠SQT = 180° Definition of a Straight Angle
II m∠SQV + m∠VQT = 180° Substitution Property of Equality
III m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
m∠SQV + m∠VQT − m∠VQT = m∠VQT + m∠ZRS − m∠VQT
m∠SQV = m∠ZRS Subtraction Property of Equality
∠SQV ≅ ∠ZRS Definition of Congruency
Which is the most logical order of statements and reasons I, II, and III to complete the proof?
A. II, III, I
B. III, I, II
C. II, I, III
D. I, III, II
Answer:
The person above is correct. the answer is D. I, III, II
Step-by-step explanation:
I just did the test and it was right
The corresponding angles formed by two parallel lines having the same transversal are congruent.
The correct order of the statements are:
III m∠VQT + m∠ZRS = 180°
II m∠SQV + m∠VQT = m∠VQT + m∠ZRS
I m∠SQV + m∠VQT - m∠VQT = m∠VQT m∠ZRS - m∠VQT
How to find the correct order?The two column proof is presented as follows;
Statements Reason
Segments UV is parallel to segment WZ Given
Points S, Q, R, and T all lie on the same line Given
m∠SQT = 180° Definition of a straight
angle
m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
m∠SQV + m∠VQT = 180° Substitution Property of Equality
III m∠VQT + m∠ZRS = 180° Same-side interior angle theorem
II m∠SQV + m∠VQT = m∠VQT + m∠ZRS Substitution Property of Equality
I m∠SQV + m∠VQT - m∠VQT = m∠VQT
+ m∠ZRS - m∠VQT Subtraction Property of Equality
m∠SQV = m∠ZRS
m∠SQV ≅ m∠ZRS Definition of Congruency
Therefore, the correct order;
First
III m∠VQT + m∠ZRS = 180°,
Given that m∠VQT and m∠ZRS are same side interior angles
Second; II m∠SQV + m∠VQT = m∠VQT + m∠ZRS,
By Substitution Property of Equality given that both (m∠SQV + m∠VQT), (m∠VQT + m∠ZRS) are equal to 180°
Third; I m∠SQV + m∠VQT - m∠VQT = m∠VQT m∠ZRS - m∠VQT,
The same value - m∠VQT is subtracted from both sides of the equation in Step II, therefore, both sides of the equation remains equal.
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3) The temperature was -27°F and then it dropped another 7 degrees. What was the temperature after the drop?
Answer:
-34°F
Step-by-step explanation:
-27 - 7 = -34
or
27 + 7 = 34 = -34
I hope this helps! have a wonderful rest of ur day :)
The graph shows the saving in Andre's bank account. What is the slope of the line?
Answer:
5
Step-by-step explanation:
slope= rise/run
=y2-y1/x2-x1
Take any two points
80-40/8-0
40/8
=5
sqrt(x+7) -1=x
yo what
Hi
\(\sqrt{(x+7)\) -1 = X
Let's square the whole thing
so we have : x+7 +1 = x²
x² +x+7 +1 = 0
x²+x+8 = 0
no easy way to see a common factor so, let 's resolve by using discriminate.
Δ = 1-4*1*8
Δ = 1 -32
Δ = -31
as Δ ≤ 0 , there is no Real answer to your equation
however , if you need we can find imaginary solutions. Just ask in commentaries
Answer:
its 2
Step-by-step explanation:
I need help asap.
Evaluate functions expressions
Answer:
9+42
Step-by-step explanation:
Simplfy it
− (−9) + 7 (6)
Multiply the numbers − (-9)+7g(6)
How many terms are there in the expression?
5x + 2y + 12
Answer:
3 or 4
Step-by-step explanation:
Answer: its 3 exactly
Step-by-step explanation:
Place in order in from largest to smallest:
0.204, 0.04, 0.24, 0.42, 0.024
Answer:
0.42, 0.24, 0.204, 0.04, 0.024
Step-by-step explanation:
A car dealership paid $12,800 for a car. They mark up the price by 20%
to get the retail price. What is the retail price of the car at this dealership?
Answer:
$15,360
Step-by-step explanation:
To find the retail price, multiply 12,800 by 1.2
12,800(1.2)
= 15,360
So, the retail price is $15,360
Answer:
$15360
Step-by-step explanation:
10% of 12,800 = 1280
20% = 1280 x 2 = 2560
Add this on to the original price to give $15,360
PLEASE HELP I WILL MARK BRAINLIEST
write an equation that represents the statement below."Twelve less than a number, ×, is 18."
x - 12 = 18 is the the equation that represents ."Twelve less than a number, ×, is 18."
What is linear equation ?In a linear equation, the variable's greatest power always equals 1. It is sometimes referred to as a one-degree equation. The usual form of a linear equation with one variable is written as Ax + B = 0. In this case, x is a variable, A is a coefficient, and B is a constant. The typical form of a linear equation with two variables is Ax + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant. Equations with a degree of 1 are considered to be linear. This shows that a linear equation with an exponent larger than one has no variables.Calculationgiven the number is x
the equation of the given statement
x - 12 = 18
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Which steps show how to use the distributive property to evaluate 7 88?
A. 7(88) = 7(90 - 2) = 7.90 - 2 + 630 – 2 = 628
B. 7(88) = 7(90 - 2) = 7.90 -7.2 = 630 - 14 = 616
C. 7(88) = 7(90 - 2) = 7.90 +7.2 = 630+ 14 = 644
D.7(88) = 7(90 - 2) = 7.90 - 90.2 = 630 – 180 = 450
The steps show how to use the distributive property to evaluate 7 88 is B. 7(88) = 7(90 - 2) = 7.90 -7.2 = 630 - 14 = 616
How to determine the steps show how to use the distributive property to evaluate 7 88The correct steps to use the distributive property to evaluate 7 * 88 are:
A. 7(88) = 7(90 - 2) = 7 * 90 - 7 * 2 = 630 - 14 = 616
Therefore, option B is the correct set of steps:
7(88) = 7(90 - 2) = 7 * 90 - 7 * 2 = 630 - 14 = 616
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1.4 divide by 128.8 what is it but if want to help hurry please
Answer:
0.01086956521
Step-by-step explanation:
1.4 / 128.8 = 0.01086956521
27,146 to the nearest 10
Answer:
27,150
Step-by-step explanation:
PLEASE GIVE BRAINLIEST AND THANKS
Answer: 27, 150
Step-by-step explanation:
just round it...?
use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class.
(a)The class width = 3
(b) The class midpoint of the first class = 51
(c) The class boundaries of the first class = (49.5, 52.5)
Consider the frequency distribution in the following image.
We know that in frequency distribution the class width is nothing but the distance between the lower limits of consecutive classes.
Whereas the range is the difference between the maximum and minimum data entries.
The smallest number is 50, and the largest is 62.
So the range is 62 - 50 = 12
We know that the formula for the class width:
Class width= upper limit – lower limit +1
So, the class width = 52 - 50 + 1
= 3
The formula for the midpoint of each class:
midpoint = (lower limit of class + upper limit of class)/2
Let us assume that m be the midpoint of the first class.
Using above formula of midpoint:
m = (50 + 52)/2
m = 51
We know that the class boundaries are nothing but the end points of an open interval which contains the class interval.
So, the class boundaries of the first class = (49.5, 52.5)
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Which of the following is equal to the rational expression below when x≠2 or
9?
4(x-2)
(x-2)(x-9)
The expression equivalent to the given expression is \(\frac{4}{x-9}\)
Rational expressionsThis are expressions written as a ratio of two expressions. Given the rational expression
\(f(x) = \frac{4(x-2)}{(x-2)(x-9)}\)
Since (x-2) is common in both numerator and denominator, they wil cancel out to have the function below;
\(f(x) = \frac{4(x-2)}{(x-2)(x-9)}=\frac{4}{x-9}\)
Hence the expression equivalent to the given expression is \(\frac{4}{x-9}\)
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which statement best describes this regression (y = highway miles per gallon in 91 cars)?
A) Statistically significant but large error in the MPG predictions
B) Statistically significant and quite small MPG prediction errors
C) Not quite significant, but predictions should be very good
Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.
Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.
Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.
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Can someone help me please !
Answer:
(3,-5)
Step-by-step explanation:
4+1=5 put it on negative side makes it -5.
Are polynomials closed under addition and subtraction?
Polynomials are closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.
Polynomial exponents are whole numbers.
The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.
Polynomials will be closed under an operation if the operation produces another polynomial.
If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.
Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).
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Which best describes the transformation? The transformation was a 90° rotation about the origin. The transformation was a 180° rotation about the origin. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
Answer:
Where is the image?
Step-by-step explanation:
If it's 180 it should be halfway rotated
If it's 360 it should be completely rotated which means its back to where it started
If its 270 then it's close to being fully rotated
If its 90 then you just rotated it once which means that it was barely rotated.
Hope this helped a little, just lemme know when you put the image so I can help!
Have a supercalifragilisitcexpialidocious day!
The best describes the transformation of the given statement is the transformation was a 90° rotation about the origin.
What are transformations?
A transformation is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. The curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects"
Given:
The given statement about the transformation.
According to given question we have
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
The rule for a rotation by 90° about the origin is (x,y)→(−y,x) .
Ex- Let A(2,3) ⇒A(2,-3)
Therefore, the best describes the transformation of the given statement is the transformation was a 90° rotation about the origin.
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If f(x)=x and g(x) =2, what is (f•g)(x)
Answer:
c
Step-by-step explanation:
of the 360 people that attended a town meeting 96 were senior citizens what percent of the people that attended the town meeting are senior citizens if necessary round to the nearest tenth (1 point)
Will give brainliest need now
Answer: 0.26666667 (0.3)
Divide (6y2 + lly + 3) by (3y + 1).
A. 2y2 + 1
B. 2y2 + 3
C. 2y + 3
D. 2y + 1
Answer:
ether:
y= 1/3 = 0.333
OR
y= 3/2 = 1.500