The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)
Graphing linear equation
The standard linear equation is expressed as y = mx + b where;
m is the slope
b is the y-intercept
Given the linear equation (y-1) = 3(x+3)
Expand
y-1 = 3x + 3
y-3x = 3 + 1
y-3x = 4
y = 3x + 4
The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)
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In one season, a basketball player missed 50% of her free throws. How many free throws did she attempt if she made 183 free throws?
Answer:
Step-by-step explanation:
50% of 366 is 183, therefore your answer is 366.
The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets. 1.04 1.95 1.23 0.83 0.70 0.48 1.45 1.14 0.58 0.64 0.69 0.63 0.62 0.67 Find the range. Find the sample variance. (Round your answer to four decimal places.) Find the sample standard deviation. (Round your answer to three decimal places.)
For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.
To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.
To find the sample variance, follow these steps.
1. Calculate the mean of the data set.
2. Subtract the mean from each value in the data set.
3. Take the summation of the squares of the result.
4. Divide the sample size minus 1.
Upon calculation, the sample variance is 0.1716.
Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.
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What is the distance between (-5, 6) and (-5, -8)?
Answer
I think you should do it by yourself so i will give you an example then do the same thing with the same problem you have
Finding distance between AD
A(-2,4) and D(1,4) AD= (-2 + 1 =3 units)
Step-by-step explanation:
When there are two points in the SAME quadrant, we SUBTRACT the absolute values of coordinate that are different If they are in the different quadrants we add!.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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-(-3x - 4)= 3x + 3 what kind of solution
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
HOPE IT'S HELPFUL TO YOU
PLS MARK ABOVE GUY ANSWER AS BRAINLIEST
different equation dy÷dx+ytanx=secx
Answer:
First, we rearrange the equation to isolate the y-term on one side:
dy/dx + ytanx = secx
Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1
Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1
Integrating both sides with respect to x, we get: y |secx| = x + C
where C is the constant of integration. Solving for y, we have:
y = (x + C)/|secx|
Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined
how to solve a geometric shape
Answer:
To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:
1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.
2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.
3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.
4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.
5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.
Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.
Look at the following numbers: -10, -5, 0, 5 Which pair of numbers has a sum of 0? (5 points) a -10, 5 b 0, 5 c 5, -5 d -5, 0
Answer:
c) 5, -5
Step-by-step explanation:
5 + (-5)
= 5 - 5
= 0
A survey revealed that 80% of workers at a company were not satisfied with their job. If 96 workers selected this option, then how many total workers are at the company?
There is a total of 120 workers at the company
How many total workers are at the company?From the question, we have the following parameters that can be used in our computation:
80% of workers at a company were not satisfied with their job. 96 workers selected this optionUsing the above as a guide, we have the following:
Number of workers = 96/80%
Evaluate the quotient
Number of workers = 120
Hence, the workers are 120
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600 is how many times as much as 200
Answer:
3
Step-by-step explanation:
200 x 3 = 600
We solve through simple division.
To do this, divide 600, which is the largest number, by 200, which is the smallest number.
600 ➗ 200 = 3Therefore, 600 is three times 200.
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
how do i find the sale price?
if original price is $77.00
markdown is 32%
Answer:
$101.64
Step-by-step explanation:
Step one:
Given data
Original price is $77.00
markdown is 32%
Required
The sale price
Step two:
Percent markdown= sale-original/origal*100
32=sale-77/77*100
32/100=sale-77/77
cross multiply
0.32*77= sale- 77
24.64=sale-77
add 77 to both sides
24.64+77= sale
101.64= sale
sale= $101.64
what is the mean of :20 20 20 22 22 24 26 26 26
The mean of a set of numbers is the sum divided by the number of terms.
Answer: 22.9
Answer:
YOU ADD AND DIVIDE FOR THE MEAN
Step-by-step explanation:
add 20 + 20 + 20 + 22 + 22 + 24 + 26 + 26 + 26 equaling to = 206
divide by 9 equaling to = 22.88
Which of the following correctly describes parallel lines?
Answer:b
Step-by-step explanation:
jfdjiodkskskdkdkdekdikwodwiosisisis=g
Answer
parallel lines go strait and never intersect
Step-by-step explanation:
120 lb to 180 lb The percentage change is
Given:
Original value = 120 lb
New value = 180 lb
Let's find the percentage change.
To find the percentage change apply the formula below:
\(\text{Percentage change = }\frac{New\text{ value-Original value}}{\text{Original value}}\ast\frac{100}{1}\)Substitute values into the formula and evaluate.
We have:
\(\begin{gathered} \text{Percentage change = }\frac{180-120}{120}\ast\frac{100}{1} \\ \\ \text{Percentage change = }\frac{60}{120}\ast\frac{100}{1} \\ \\ \text{Percentage change = }0.5\ast100 \\ \\ \text{Percentage change = 50 \%} \end{gathered}\)Therefore, the percentage change is 50%
ANSWER:
50%
To convert yards to inches what operation do you use
If a die is rolled one time, find the probability of getting a six.
P(6) = ?
Answer: \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)
Step-by-step explanation:
A regular dice has 6 sides, and only one of those sides side has a six.
We write probability as;
\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)
Hi, there!
_______
\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)
Here,
» Favourable Outcome(s) -> getting a 6 on a die (1 outcome), because only one side of a die has a six on it
» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)
So,
\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)
Hope the answer - and explanation - made sense to you,
happy studying!!
\(\tiny\textit{frozen \ melody}\)
Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 29, 31, 49, 37, 26, 28. Use a 0.025 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die?
The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.
Step 1: Set up hypotheses
H₀: The outcomes of the die are equally likely.
H₁: The outcomes of the die are not equally likely.
Step 2: Select the significance level
The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.
Step 3: Compute the test statistic
We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.
Expected frequencies (fair die):
1: 200/6 = 33.33
2: 200/6 = 33.33
3: 200/6 = 33.33
4: 200/6 = 33.33
5: 200/6 = 33.33
6: 200/6 = 33.33
Applying the chi-square formula, we get the test statistic:
χ² = ∑((observed - expected)² / expected)
Calculating this value, we get χ² ≈ 13.97.
Step 4: Determine the critical value
Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.
Step 5: Make a decision
The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.
The loaded die appears to behave differently from a fair die.
In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.
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what is the volume please help.
Answer:
72 in³
Step-by-step explanation:
THe volume = area of the base × height
area of the base (trapezoid) = [(8×(12+6)]÷2 = 72
height = 1
then
the volume = ((8×(12+6))÷2)×1 = 72
PLEASE ANSWER ITS THE LAST QUESTION!!
A, B & C form a triangle where
∠
BAC = 90°.
AB = 8.4 mm and CA = 7 mm.
Find the length of BC, giving your answer rounded to 1 DP.
Answer:
The length of BC would be 12.2 mm.
Step-by-step explanation:
Given,
In triangle ABC,
∠BAC = 90°,
Thus by the Pythagoras theorem,
We have,
AB = 9.6 mm and CA = 7.6 mm,
By substituting the values,
Step-by-step explanation:
The Fahrenheit temperature readings on 66 Spring mornings in New York City are
summarized in the table below. Construct and label a frequency histogram of the data
with an appropriate scale.
Temp (°F) Number of Days.
30-39
2
40-49
26
50-59
28
60-69
8
70-79
2
Graph answer Click and drag to make a rectangle. Click a rectangle to delete it.
To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.
The temperature ranges and their corresponding frequencies are as follows:
30-39: 2 days
40-49: 26 days
50-59: 28 days
60-69: 8 days
70-79: 2 days
To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.
Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.
Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.
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10 points
What 2 transformations were used to transform ABC to A'B'C' then to
A"B"C".
B
C
B
49
с
AI
A
B Р
C
D
Rotate 90 CCW, then reflect over the x axis.
Rotate 90 CW then reflect over the x axis
Rotate 90 CCW then reflect over the y axis
Rotate 90 CW then translate to the left.
Answer:
Rotate 90 CCW then translate to the left.
Step-by-step explanation:
i just did that in my test
Question 4
Are the expressions below equal to I-2
Select either Yes or No next to each expression,
Expressions
Yes
No
O
o
o о
O
1
1
23
о
o
1
0
O
Answer:
First Option = No
\( \sf \frac{1}{ {x}^{ - 3} } = \frac{1}{ \frac{1}{ {x}^{3} } } = {x}^{3} \: ( \red{wrong})\)
Second Option = No
\( \sf - \sqrt[3]{x} = - {x}^{ \frac{1}{3} } \: ( \red{wrong})\)
Third Option = Yes
\( \sf {x}^{ - \frac{1}{3} } = \frac{1}{ {x}^{ \frac{1}{3} } } ( \green{true})\)
Fourth Option = Yes
\( \sf {x}^{ - \frac{1}{3} } =( \sqrt[3]{x} {)}^{ - 1} = \frac{1}{ \sqrt[3]{x} } ( \green{true})\)
Hope it helps!
Answer:
No, No, Yes, Yes
Step-by-step explanation:
I just took it EDGE2022
If it takes John 10 hours to paint the fence, how long will it take John and his 2 friends to do the job if they work at the same rate?
A) 1 1/3 hours
B) 1 2/3 hours
C) 2 2/3 hours
D) 3 1/3 hours
Answer:
D) 3 1/3 hours
Step-by-step explanation:
10÷3=3.3=3 1/3
What is 3.1*10^5 scientific notation
Answer:
310,000
Step-by-step explanation:
we have the number 3.1*10^5
convert to standard form
3.1 × 10 to the fifth power = 3.1 × 100,000 = 310,000
Answer is 310,000
If the function f(x) = 5(2x) is squared, which function is produced?
The function is a linear function, and the equation of the function when squared is (f(x))² =25(4x²)
How to determine the new function?The equation of the function is given as:
f(x) = 5(2x)
When the function is squared, we have:
(f(x))² =(5(2x))²
Evaluate the exponent
(f(x))² =25(4x²)
Hence, the equation of the function when squared is (f(x))² =25(4x²)
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Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base, estimate the area under the graph using first two then four rectangles.f(x)=x^3 between x=0 and x=1
The area under the graph using the first two and then four rectangles = 0.221 unit square
According to the graphs given in the below figure,
Given in the question,
f(x) = \(x^{3}\) when x = 0 and x = 1
The first rectangle of the first graph goes from 0 to 0 .6,
Width = 0.6
Height measured from the middle point = 0.3
f( 0.3) = \(( 0.3)^{3}\)
f(0.3) = 0.027 units.
Area of first rectangle = 0.6 x 0.027 = 0.0162 unit square
Now taking the second rectangle of the first part,
It is going from 0.6 to 1.0,
Width = 0.4 units
height = 0.8 units
Height measured from the middle-
f(0.8) = \((0.8)^{3}\) = 0.512
Area of the second part of the rectangle = 0.512 x 0.4
= 0.2048 unit square
Final area = 0.2048 + 0.0162 = 0.221 square units
Therefore, the same could be done with the second part rectangle of 4
For the given first part of four rectangles = width = 0.6 units and height = 0.1 unit
so f(0.1) = \(0.1^{3}\)
= 0.001 units
Therefore, the area under the graph using the first two and then four rectangles = 0.221 unit square
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Determine whether the statement makes sense or does not make sense, and explain your reasoning.
"I'm working with a prime number that intrigues me because it has three natural number factors."
Answer:
it doesn’t make sense
Step-by-step explanation:
please help me! i need help :/
we say 15 _12 is 9 so 9 x 7 is 15
and the next step is 9 divided by 7
what is the equation of this line
Answer:
y = 1/2x -2
Step-by-step explanation:
The y-intercept is (0,-2). The slope is 1/2.