Answer:
Correct answer : -21x - 4
John's error : He added the number inside the parenthesis, instead he should've divided first then added the number.
I hope you get it
To rent a van, a moving company charges $50.00 plus $5.50 per mile. The table shows the total cost for the number of miles driven. Enter an equation in slope-intercept form to represent this situation.
Which table matches the equation y= 8x + 20
Answer:
The first table
Step-by-step explanation:
x y
7 76
10 100
13 124
16 148
HOPE THIS HELPS :)
KC: Perfect Squares
V
V 125
a perfect square.
V289
a perfect square.
is or is not
36. The aspect ratio of a cell phone screen is the ratio of
the screen's height to its width. Two possible aspect ratios of cell phone screens are shown. You can write the height and width of a cell phone screen using the
aspect ratio and a scale factor x.
A. Write a product representing the area of a cell phone screen that has an aspect ratio of 16:9.
Interpret each factor of the product.
B. Write a product representing the area of a cell phone screen that has an aspect ratio of 18:9.
Interpret each factor of the product.
C. Find the areas of the screens from Parts A and B. How do the areas of the screens compare if you use the same scale factor?
A. The product representing the area of a cell phone screen with an aspect ratio of 16:9 is (16x) * (9x) = 144x². The first factor, 16x, represents the height of the screen, and the second factor, 9x, represents the width of the screen. B. The product representing the area of a cell phone screen with an aspect ratio of 18:9 is (18x) * (9x) = 162x². The first factor, 18x, represents the height of the screen, and the second factor, 9x, represents the width of the screen. C. To find the areas of the screens from Parts A and B, we need to evaluate the products. For the screen in Part A, the area is 144x², and for the screen in Part B, the area is 162x².
If we use the same scale factor, x, the areas of the screens are directly proportional to the squares of their respective aspect ratios. In this case, the aspect ratio of 16:9 has a smaller area (144x²) compared to the aspect ratio of 18:9 (162x²) when using the same scale factor.
A. To find the product representing the area of a cell phone screen with an aspect ratio of 16:9, we multiply the height and width of the screen using a scale factor x. The height is 16x, and the width is 9x. Therefore, the product is (16x) * (9x) = 144x².
B. Similarly, to find the product representing the area of a cell phone screen with an aspect ratio of 18:9, we multiply the height and width of the screen using a scale factor x. The height is 18x, and the width is 9x. Therefore, the product is (18x) * (9x) = 162x².
C. To compare the areas of the screens from Parts A and B, we evaluate the products. The area of the screen in Part A is 144x², and the area of the screen in Part B is 162x².
If we use the same scale factor, x, to calculate the areas, we can observe that the areas are directly proportional to the squares of their respective aspect ratios. Therefore, the screen with an aspect ratio of 18:9 (162x²) has a larger area compared to the screen with an aspect ratio of 16:9 (144x²) when using the same scale factor.
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give an example of fractions that you would copare by finding commen denominators, and an example of fractions you would compare by finding common numerators?
find the value of sin 18,cos 18 by without using table or calculater
The value of the trigonometry expression sin(78)cos(18) - cos(78)sin(18) is √3/2
Finding the value of the trigonometry expressionFrom the question, we have the following parameters that can be used in our computation:
sin(78)cos(18) - cos(78)sin(18)
Using the law of sines, we have
sin(A - B) = sin(A)cos(B) - cos(A)sin(B)
using the above as a guide, we have the following:
sin(78)cos(18) - cos(78)sin(18) = sin(78 - 18)
Evaluate
sin(78)cos(18) - cos(78)sin(18) = sin(60)
When evaluated, we have
sin(78)cos(18) - cos(78)sin(18) = √3/2
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Question
Find the value of sin(78)cos(18) - cos(78)sin(18) by without using table or calculator
Mr. Rogers is a baker and makes bread muffins and scones using honey as a sweetener he buys his honey in containers holding 60 tablespoons yesterday Mr. Rogers made a batch of muffins and he used 2 3/4 tablespoons of honey last week he made 16 identical loaves of bread and he used an entire container of honey to make the bread how many tablespoons of honey did Mr. Rogers used to make each loaf of bread explain how this value was found!? PLEASE ANSWER WITH EXPLANATION FAST!! 45 TOTAL POINTS
Answer:
3.75
Step-by-step explanation:
60/16=3.75 if he made 16 loves, he uses 3.75 tablespoons in each loaf.
3.4.9. Determine the 90th percentile of the distribution, which is
N (60, 25).
To determine the 90th percentile of the distribution N (60, 25), we need to first find the corresponding z-score. We can use the standard normal distribution table or a calculator to find the z-score associated with a cumulative probability of 0.9, which is 1.28.
Next, we use the formula for transforming a standard normal distribution into a normal distribution with a specific mean and standard deviation:
X = μ + (z * σ)
where X is the value at the 90th percentile, μ is the mean (60), σ is the standard deviation (5), and z is the z-score we just found (1.28).
Plugging in the values, we get:
X = 60 + (1.28 * 5)
X = 66.4
Therefore, the 90th percentile of the distribution N (60, 25) is 66.4.
Hi! To determine the 90th percentile of the distribution N(60, 25), you'll first need to know that N(60, 25) represents a normal distribution with a mean (µ) of 60 and a variance (σ²) of 25. The standard deviation (σ) is the square root of the variance, so in this case, σ = √25 = 5.
Now, you'll want to find the z-score that corresponds to the 90th percentile in a standard normal distribution (mean = 0, standard deviation = 1). You can find this using a z-table or calculator. For the 90th percentile, the z-score is approximately 1.28.
Finally, you can determine the 90th percentile of the original distribution by using the formula:
X = µ + z * σ
X = 60 + (1.28 * 5)
X ≈ 66.4
So, the 90th percentile of the distribution N(60, 25) is approximately 66.4.
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I need help. This has to be in within a hour. Question 3, Will mark branliest if helped!
If a seed is planted, it has a 85% chance of growing into a healthy plant. If 11 seeds are planted, what is the probability that exactly 4 don't grow
A planted seed has a 85% chance of growing into a healthy plant. The probability that exactly 4 out of 11 seeds don't grow is approximately 0.1302.
To calculate this probability, we can use the binomial distribution formula. In this case, each seed has a 15% chance of not growing (1 - 0.85). We want to find the probability that exactly 4 seeds out of 11 don't grow.
Using the binomial distribution formula, the probability can be calculated as:
\(P(X = 4) = (^{11}C_4) * (0.15)^4 * (0.85)^7\)
Where (\(^{11}C_4\)) represents the number of ways to choose 4 seeds out of 11, \((0.15)^4\)represents the probability of 4 seeds not growing, and\((0.85)^7\) represents the probability of the remaining 7 seeds growing.
Evaluating the formula, we find:
\(P(X = 4) = (11! / (4! * 7!)) \times(0.15)^4 \times (0.85)^7 \approx 0.1302\)
Therefore, the probability that exactly 4 out of 11 seeds don't grow is approximately 0.1302, or 13.02%.
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Please help asap
9.80 m/s to ft/s
Please show work
Answer:
32.15 feet per second
Step-by-step explanation:
To convert a meters every corresponding value to a foot per second input, multiply the meter per second number by 3.2808398950131. (the conversion factor).
I NEED HELP ASAP ! THIS IS FOR A PAST DUE QUIZ. THEY ARE GIVING ME ONE MORE CHANCE
Answer:
3b/2 + 3
Step-by-step explanation:
The formula to calculate perimeter of rectangle is 2l + 2w
The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2
Using the formula to calculate perimeter you can substitute and calculate
p= 2l + 2w
p= 2(b/4 + 1/2) + 2(b/2 + 1)
p= 2b/4 +2/2 + 2b/2 +2
p= 1/2b + 1 + b + 2
p= 3/2b + 3
Simplified it's 3b/2 +3
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used. Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms
Both polynomials are of degree 2 and have three terms after simplification.
Polynomial 1:\(4x^2 - 12x + 9\)
Degree: 2
Number of Terms: 3
Simplified: \(4x^2 - 12x + 9 = 4x(x - 3) + 9 = 4x^2 - 12x + 9\)
This polynomial is a second-degree polynomial with three terms. It can be simplified by factoring the coefficient of the first term and the constant, which produces a product of 4x and 9. This leaves us with 4x(x - 3). This polynomial is still a second-degree polynomial with three terms.
Polynomial 2: \(3x^2 - 10x + 5\)
Degree: 2
Number of Terms: 3
Simplified: \(3x^2 - 10x + 5 = 3x(x - 5) + 5 = 3x^2 - 10x + 5\)
This polynomial is a second-degree polynomial with three terms. It can be simplified by factoring the coefficient of the first term and the constant, which produces a product of 3x and 5. This leaves us with 3x(x - 5). This polynomial is still a second-degree polynomial with three terms.
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Answer:
Step-by-step explanation:
5. Find the length of DE if D is between points Cand E, CD= 6.5 centimeters, and CE = 13.8 centimeters. 6. Find the length of XZ. 4x + 3
Answer:
\(cd = 6.5cm \\ ce = 13.8cm \\ de = ce - cd \\ de= 13.8cm - 6.5cm \\ de = 10.3cm\)
The subtraction between CE and CD is the length of DE
A sports team is holding a banquet.
The total cost of supplies for the banquet event is $1000. The cost per ticket is set so that 100 tickets will cover the cost of the banquet event.
Based on this information, what is the cost of ONE ticket?
One ticket for this banquet costs $
Answer:
$10
Step-by-step explanation:
1000 divided by 100 = 10
so $10 is the answer
then 100 tickets = $1000
PLEASE MARK BRAINLIEST AND GIVE 5 STARS.
145.678 rounded to the nearest hundred
Answer:
145.68
Step-by-step explanation:
When rounding 145.678 to the nearest hundred, we look at the digit in the tens column, which is 4. Since 4 is less than 5, we round down to the nearest hundred. Therefore, 145.678 rounded to the nearest hundred is 100.
You have $2.00 to make copies. Each copy costs $0.25. Write and solve an
inequality that represents the number of copies you can make.
Answer:
c≤8
Step-by-step explanation:
Let c be the number of copies that you can make
Each copy is 25 cents or .25
It must be less than or equal to 2 dollars
.25c ≤2.00
Divide each side by .25
.25c/.25 ≤ 2.00/.25
c≤8
Helpppppppppppp meeeeeee
Answer:
7
Step-by-step explanation:
What is stapel scale (Type of interval scale)
The Stapel scale is a type of interval scale used in survey research to measure attitudes and opinions. It is a unipolar scale with a range of numerical values, typically from -5 to +5 or -10 to +10, with a neutral point of zero in the center.
The Stapel scale is a type of interval scale that is commonly used in market research. It is a unipolar rating scale that measures attitudes and opinions towards a particular object or concept.
The scale consists of a single horizontal line, with a numerical scale ranging from -5 to +5, and a single adjective or phrase representing the concept being measured placed at one end of the line.
Respondents are asked to rate the concept by placing a mark on the line, with higher values indicating more positive attitudes or opinions and lower values indicating more negative attitudes or opinions.
The Stapel scale is often used in situations where a traditional bipolar scale (such as the Likert scale) may not be appropriate.By using the Stapel scale, researchers can gather precise and nuanced data about people's attitudes and opinions, making it a valuable tool in survey research.
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A rectangle has an area of 40 square units. The width of the rectangle is (n+3) and the height is n. What are the possible dimensions? Use factoring.
A. (x+2)(x-20)
B. (x-8)(x-5)
C. (x+8)(x-5)
D. (x-2)(x+20)
Explain if you want as well!
Therefore, the possible dimensions are represented by (x - 5)(x + 8) or answer choice C.
The area of a rectangle can be expressed as the product of its width and height:
A = w × h
We are given that the area of the rectangle is 40 square units,
and that the width is (n + 3) and the height is n:
A = (n + 3) × n
= 40
Expanding the expression on the left side, we get:
\(n^2 + 3n = 40\\n^2 + 3n - 40 = 0\)
This is a quadratic equation, and we can find the possible values of n by factoring the left side as a product of two linear factors.
We can see that (n + 8)(n - 5) = \(n^2 + 3n - 40\),
so the possible dimensions of the rectangle are
=(n + 3) × n
= (n + 8) × (n - 5)
= 40 square units.
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give as much information as you can about the p-value of a t test in each of the following situations. (round your answers to four decimal places.) (a) Upper-tailed test,
df = 7,
t = 2.0
P-value < 0.005
0.005 < P-value < 0.01
0.01 < P-value < 0.025
0.025 < P-value < 0.05
P-value > 0.05
(b) Upper-tailed test,
n = 13,
t = 3.2
P-value < 0.005
0.005 < P-value < 0.01
0.01 < P-value < 0.025
0.025 < P-value < 0.05
P-value > 0.05
(c) Lower-tailed test,
df = 10,
t = ?2.4
P-value < 0.005
0.005 < P-value < 0.01
0.01 < P-value < 0.025
0.025 < P-value < 0.05
P-value > 0.05
(d) Lower-tailed test,
n = 23,
t = ?4.2
P-value < 0.005
0.005 < P-value < 0.01
0.01 < P-value < 0.025
0.025 < P-value < 0.05
P-value > 0.05
(e) Two-tailed test,
df = 14,
t = ?1.7
P-value < 0.01
0.01 < P-value < 0.02
0.02 < P-value < 0.05
0.05 < P-value < 0.1
P-value > 0.1
(f) Two-tailed test,
n = 15,
t = 1.7
P-value < 0.01
0.01 < P-value < 0.02
0.02 < P-value < 0.05
0.05 < P-value < 0.1
P-value > 0.1
(g) Two-tailed test,
n = 14,
t = 6.1
P-value < 0.01
0.01 < P-value < 0.02
0.02 < P-value < 0.05
0.05 < P-value < 0.1
P-value > 0.1
These results indicate the strength of evidence against the null hypothesis in each test. A p-value below the chosen significance level (such as 0.05) suggests strong evidence against the null hypothesis, while a p-value above the significance level indicates weak evidence to reject the null hypothesis.
For the given situations:
(a) In an upper-tailed test with df = 7 and t = 2.0, the p-value is greater than 0.05.
(b) In an upper-tailed test with n = 13 and t = 3.2, the p-value is less than 0.005.
(c) In a lower-tailed test with df = 10 and t = -2.4, the p-value is less than 0.005.
(d) In a lower-tailed test with n = 23 and t = -4.2, the p-value is less than 0.005.
(e) In a two-tailed test with df = 14 and t = -1.7, the p-value is greater than 0.1.
(f) In a two-tailed test with n = 15 and t = 1.7, the p-value is greater than 0.1.
(g) In a two-tailed test with n = 14 and t = 6.1, the p-value is less than 0.01.
What is p-value?The probability value is often referred to as the P-value. It is described as the likelihood of receiving a result that is either more extreme than the actual observations or the same as those observations.
(a) Upper-tailed test,
df = 7,
t = 2.0
P-value > 0.05
(b) Upper-tailed test,
n = 13,
t = 3.2
P-value < 0.005
(c) Lower-tailed test,
df = 10,
t = -2.4
P-value < 0.005
(d) Lower-tailed test,
n = 23,
t = -4.2
P-value < 0.005
(e) Two-tailed test,
df = 14,
t = -1.7
P-value > 0.1
(f) Two-tailed test,
n = 15,
t = 1.7
P-value > 0.1
(g) Two-tailed test,
n = 14,
t = 6.1
P-value < 0.01
These results indicate the strength of evidence against the null hypothesis in each test. A p-value below the chosen significance level (such as 0.05) suggests strong evidence against the null hypothesis, while a p-value above the significance level indicates weak evidence to reject the null hypothesis.
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given that the probability of a student spending time watching tv is 0.89, and the probability of a student spending time reading and watching tv is 0.11, what is the probability of a student spending time reading given that the student spends time watching tv? be sure to round your answer to two significant digits.
The probability of a student spending time reading given that the student spends time watching TV is \(P(Reading|Watching\:\:TV)=0.12\)
If any two occurrences in sample space S, A and B, are specified, then the conditional probability of event A given B is:
\(P(A|B)=\frac{P(A\:and\:B)}{P(B)}\)
Probability theory is an important branch of mathematics that is used to model and analyze uncertain events in various fields, including science, engineering, finance, and social sciences. The concept of probability is based on the idea of random experiments, where the outcomes are uncertain and can vary each time the experiment is performed.
The probability of an event can be determined by analyzing the possible outcomes of the experiment and assigning a probability to each outcome based on the assumptions of the model. The theory of probability has several applications in real life, such as predicting the outcomes of games of chance, evaluating risks in insurance and finance, and making decisions in scientific research.
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PLEASE HELP AND EXPLAIN HOW YOU GOT THE ANSWER. I WILL MARK YOU BRAINLIEST
Answer:
The point that is the center of rotation is S!
Take this second rectangle, the one on the right, and see where the two rectangles share a point? (QRSP and UVST both share an S). Imagine you’re putting a pin in it- this point should not move. Now rotate R, Q, and P down and to the right- clockwise! After a 90° rotation, all four corners will meet. Does that make sense? I can find a different way to explain if needed!
¿Cual es la diferencia entre ángulos suplementarios y ángulos complementarios?
Answer:
Los ángulos complementarios son dos ángulos que suman 90 grados, y los ángulos suplementarios son dos ángulos que suman 180 grados.
OR
Complementary angles are two angles that add up to be 90 degrees, and suplementary angles are two angles that add up to be 180 degrees.
A set of exams are reported as X values and Z-scores. On this exam a score of X=82 corresponds to a Z=0.5 and X=67 corresponds to a Z=−1.0. Use this information to find the mean and standard deviation for the complete set of exams.
The mean (μ) for the complete set of exams is 77 and the standard deviation (σ) is 10.
To find the mean and standard deviation for the complete set of exams, we can use the given information about two scores and their corresponding z-scores.
Let's denote the mean of the exam scores as μ and the standard deviation as σ.
We are given the following information:
X = 82 corresponds to Z = 0.5
X = 67 corresponds to Z = -1.0
Using the z-score formula, we can calculate the z-scores for these two values:
Z1 = (X1 - μ) / σ
0.5 = (82 - μ) / σ
Z2 = (X2 - μ) / σ
-1.0 = (67 - μ) / σ
We have two equations with two unknowns (μ and σ). We can solve these equations simultaneously to find the values of μ and σ.
From the first equation, we can rearrange it to solve for μ:
82 - μ = 0.5σ
μ = 82 - 0.5σ
Substituting this value of μ into the second equation:
-1.0 = (67 - (82 - 0.5σ)) / σ
-1.0 = (67 - 82 + 0.5σ) / σ
-1.0 = (0.5σ - 15) / σ
-σ = 0.5σ - 15
1.5σ = 15
σ = 15 / 1.5
σ = 10
Now, substituting the value of σ into the equation for μ:
μ = 82 - 0.5σ
μ = 82 - 0.5(10)
μ = 82 - 5
μ = 77
Therefore, the mean (μ) for the complete set of exams is 77 and the standard deviation (σ) is 10.
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If line segment AB represents 50%, what is the length of a line segment that is 100%?
Find the volume of the prism below.
Answer:
72cm³
Step-by-step explanation:
volume of the square = l x h x w
12 x 4 x 5 = 240 cm³
volume of prism = 3 x 4 = 12 / 2 = 6 x 12 = 72
Given m ||n, find the value of x.
t
(x-17)
(5x-1)
Linear pair of x for the given figure will be 33
Linear pair:
Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
The sum of angles of a linear pair is always equal to 180°.
For the given figure,
m ||n
given angles are (x-17)° and (5x-1)° ,both the angles are linear pair.
using the properties of linear pair,
Sum of the angles will be equal to 180°
that is,
(x-17)° + (5x-1)° =180°
(x + 5x) + (-17 -1) = 180
6x - 18 = 180
6x = 180 + 18
6x =198
x = 198/6
x =33
Thus, the value of x will be 33
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an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 100 engines and the mean pressure was 5.5 lbs/square inch. assume the standard deviation is known to be 0.7 . if the valve was designed to produce a mean pressure of 5.3 lbs/square inch, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? state the null and alternative hypotheses for the above scenario.
There is sufficient evidence that the valve performs above the specifications.
Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch
Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch
To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.
Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.
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Here is a list of numbers: 9, 7, 19, 2, 5, 6, 5 ,14 ,3 State the median.
Answer:
6
Step-by-step explanation:
Arrange the items in ascending order
2 , 3 , 5 , 5 , 6 , 7 , 9 , 14 , 19
Median = middle term = (n+1)/2 = (9 + 1)/2 = 10/2 = 5th term
= 6