Step-by-step explanation:
first u need to pick a random coordinate to substitute the X . example 0
y = 2(0) + 1
y =1 , X= 0
X= 1
y= 2(1) + 1
y= 3, X= 1
then you continue this same process and again until u have at least two points to draw a straight line. it kinda depended if u want to fill the entire graph.
A gas can holds 10 liters of gas.
How many cans could we fill with 7 liters of gas?
Include fractions of cans, if applicable.
The required if we have 7 liters of gas, we could fill 0.7 cans, which includes a fraction of a can.
What is the fraction?A fraction is a mathematical vision that can be used to describe a portion of a whole or a numeral that can be written as the ratio of two integers. In a fraction, the top number is guided to as the numerator, while the bottom number is referred to as the denominator.
If each gas can holds 10 liters of gas, then 7 liters of gas can fill 7 / 10 = 0.7 cans.
So, if we have 7 liters of gas, we could fill 0.7 cans, which includes a fraction of a can. Note that in practice, we cannot fill a fraction of a can, so we would round down to the nearest whole number, which would be 0 cans filled.
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Find the center and radius of the circle defined by the equation given below.
22 + 2x + y2 + 10y = 15
A:center (-1, – 5), radius: 15
B:center. (1, 5), radius: 15
C:center. (-1, – 5), radius: 141
D: center. (1, 5), radius: 41
Answer:
your question seem off but if its x² + 2x + y² +10y=15
Step-by-step explanation:
the answer will be
center = (-1,-5)
radius = square root 41
which will be C:center (-1,-5), radius square root 41
12. Hannah wants to buy 4 presents for at least $60. She wants to spend an equal amount of money on each present. Write and solve an inequality to show the least amount of money Hannah will spend on each present
Answer: 15
Step-by-step explanation:
So it is pretty much 60/4 which is easy 15 here is the work
1 5
4 6 0
- 4
2 0
- 2 0
0
Answer:
x ≥ $15
Step-by-step explanation:
At least means ≥
4x ≥ $60 Replace the inequality sign with an = sign and solve the equation.
4x = $60
x = $60 ÷ 4
x = $15 Now put the inequality sign back into the problem
x ≥ $15
Sweet Lucy’s ice cream shop offers customers 2 different types of cones, 5 different flavors of ice cream, and 6 different toppings. Assuming a customer picks one type of cone, one flavor of ice cream, and one topping only, how many different combinations of cone, ice cream, and topping are possible?
60 different combinations of cone, ice cream, and topping are possible.
What is combination?The combination is defined as an arrangement of objects where the order in which the objects are selected does not matter.
Given that, an ice cream shop offers customers 2 different types of cones, 5 different flavours of ice cream, and 6 different toppings
Total combination = 2*5*6 = 60
Hence, there are 60 different combinations of cone, ice cream, and topping are possible.
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Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
3694.5 Is the volume of the cylinder.
Step-by-step explanation:
The formula used to find the volume is V=πr2h In this equation
R=14 (radius) H=6(height)
π=Pie(3.14)
Be the Teacher
A student's work in solving an equation is shown below:
4x2 + 2x = 0
2x (2x+1= G
2x+/= 0
2x=-1
=-{-1/
Determine if there's an error in the student's work. If there is, explain what the error is,
and correct it.
Answer:
x = 0 and x = -1/2
Yes there is an error in the student's work. The error is that he is considering only single value of x. To correct the error he/she must calculate all the possible values of x. The process is shown in the paper.
A restaurant offers 4 different appetizers, 5 different main courses, and 8 different desserts. How many ways are there to select your dinner choice if you need to pick one menu item from each category
Using multiplication principle of counting,
There are 160 ways to select your dinner choice if you need to pick one menu item from each category.
We have,
To determine the total number of ways to select a dinner choice, we need to use the multiplication principle of counting, which states that if there are m ways to do one thing and n ways to do another thing, then there are m × n ways to do both things.
Using this principle, we can find the total number of ways to select a dinner choice as follows:
Number of ways to select an appetizer = 4
Number of ways to select a main course = 5
Number of ways to select a dessert = 8
Using the multiplication principle of counting, the total number of ways to select a dinner choice is:
= 4 × 5 × 8
= 160
Therefore,
There are 160 ways to select your dinner choice if you need to pick one menu item from each category.
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Question in the picture 1-5
how to understand next steps what will be anyone give me explains
Step-by-step explanation:
remember a few things :
a × -1 = -a
-a × -1 = a
-1 × -1 = 1
1 × a = a
therefore,
-1 × -1 × a = 1 × a = a
and finally
c × (a + b) = c×a + c×b
so, we can say
(1 - 5) = -1 × -1 × (1 - 5) =
= -1 × (-1×1 + -1×-5) = -1 × (-1 + 5) =
= -1 × (5 - 1) = -(5 - 1)
Austin is baking a pie in a pan that has a diameter of 8 inches. He wants to cover the top of the pie with a pie crust. What is the area of the crust that will cover the top of the pie?
The area of the crust that will cover the top of the pie is 50.24 square inches.
What is a circle?
A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The baking pan is in the shape of a circle.
The diameter of a baking pan = 8 inches
So, the radius of a baking pan,r = \(\frac{diameter}{2}\)
⇒ \(r=\frac{8}{2}\)
⇒ \(r=4\)
The area of the crust that will cover the top of the pie is
\(A=\pi r^{2}\)
we know that the value of π is 3.14.
On substitute the above values,
⇒ \(A=(3.14)(4)^{2}\)
⇒ \(A=(3.14)(16)\)
⇒ \(A=50.24\)
Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.
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What is the range of the function shown on the graph above?
A. -8 y -3
B. -8 y -3
C
Answer:
i got u c
Step-by-step eplanation:
Question 2 20 pts A p-value for correlation which is statistically significant implies the correlation is due to random chance. True O False Question 5 20 pts For each one unit increase in X we expect Y to increase by b1 units, on average. Interpretation of the intercept Interpretation of a residual Interpretation of r-squared Interpretation of the slope
A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.
A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.
Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).
Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.
Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.
Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.
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A vector has a magnitude of 23 and a direction of 130°. What are the horizontal and vertical components of this vector?
Determine which are the zeros of p(x) = 9x^3 + 182^2 - x - 2
Answer:
x = -2 or x = -1/3 or x = 1/3
Step-by-step explanation:
9x³ + 18x² - x - 2 = 0
9x²(x+2) - (x+2) = 0
(x+2)(9x²-1)=0
(x+2)(3x+1)(3x-1)=0
x = -2 or x = -1/3 or x = 1/3
find the odds in favor of and odds against the event given the probability. express all ratios in lowest terms.
Odds in favor and odds against of the event can be found given the probability. In order to express all the ratios in lowest terms, first we need to know the meaning of odds and probability. What are the odds of an event? Odds of an event are defined as the ratio of favorable outcomes to unfavorable outcomes.
Odds in favor of an event can be defined as the ratio of the number of favorable outcomes to the number of unfavorable outcomes. It can be mathematically represented as: P(E) = Number of favorable outcomes / Number of unfavorable outcomes. Odds against an event can be defined as the ratio of the number of unfavorable outcomes to the number of favorable outcomes. It can be mathematically represented as: P(E’) = Number of unfavorable outcomes / Number of favorable outcomes. What is probability? Probability is defined as the chance of an event happening. It is a number that lies between 0 and 1. A probability of 0 indicates that the event is impossible and a probability of 1 indicates that the event is certain. Probability can be mathematically represented as: P(E) = Number of favorable outcomes / Total number of outcomes. For example, let's consider a die. The probability of getting an even number on a die is: P(E) = Number of favorable outcomes / Total number of outcomes P(E) = 3 / 6P(E) = 1 / 2Now, let's find the odds in favor and odds against the event given the probability. Example: A card is drawn from a deck of 52 cards. Find the odds in favor and odds against drawing a spade. Express all ratios in lowest terms. Number of favorable outcomes (Drawing a spade) = 13Number of unfavorable outcomes (Drawing a non-spade card) = 52 - 13 = 39.Probability of drawing a spade = P(E) = 13 / 52P(E) = 1 / 4Odds in favor of drawing a spade = P(E) / P(E')P(E') = 1 - P(E) = 1 - 1/4 = 3/4Odds in favor of drawing a spade = P(E) / P(E') = (1/4) / (3/4) = 1 / 3Odds against drawing a spade = P(E') / P(E)P(E') / P(E) = (3/4) / (1/4) = 3Therefore, the odds in favor of drawing a spade are 1:3 and the odds against drawing a spade are 3:1.
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what is p value significance
In statistics, p-value significance is the measure of the strength of evidence against the null hypothesis.
P-value significance is used to determine whether or not a result is statistically significant. The p-value is the probability of obtaining the observed results or more extreme results if the null hypothesis is true. If the p-value is below the chosen significance level, usually 0.05, the null hypothesis is rejected, indicating that the results are statistically significant.
This means that the observed data is unlikely to have occurred by chance alone and that there is strong evidence to support the alternative hypothesis. P-value significance is an essential concept in hypothesis testing, and it is widely used in scientific research, medical trials, and other statistical analyses.
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-17=x-15 what does x equal?
Answer:
-17=x-15 +15
-2=x
Step-by-step explanation:
prove me wrong
-17 = x - 15
Move -15 over to -17, it becomes a positive.
15 - 17 = x
15 - 17 = -2
x = -2
g(x)=5x g(x)=15 what is the value of x
Answer:
x = 75
Step-by-step explanation:
Step-by-step explanation:
According to the question,
g(X)=5x ------------------------(eq-i)
g(X)=15 -------------------------(eq-2)
By comparison the two following equation
\(5x=15\\\\x=\dfrac{15}{5}\\\\x=3\)
Write an absolute value inequality for numbers that are 5 units or fewer away from –2 on a number line
Answer:
|x + 2| < 5
Step-by-step explanation:
The difference between a number and -2 is less than 5
|x - (-2)| < 5
|x + 2| < 5
pls help really need it due today
Answer:no, a=38units while b=34units
Step-by-step explanation:
What is the simplifed expression when(17−8c)is subtracted from (−c+5). Show work.
The simplified expression when(17−8c)is subtracted from (−c+5) is 12 - 7c.
What are algebraic expressions?When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, we obtain algebraic expressions as the mathematical statement. Let's say James and Natalie were tinkering with matchsticks when they had the idea to arrange the sticks into numerical patterns. James used four matchsticks to make the numeral 4 in the air. Adding three additional matchsticks allowed Natalie to create a pattern with two 4s. They understood that they may continue to add three matchsticks each round to make a total of four.
The two expressions are:
17 - 8c and - c + 5
The subtraction of the two expressions are:
17 - 8c - (-c + 5)
17 - 8c + c - 5 = 12 - 7c
Hence, the simplified expression when(17−8c)is subtracted from (−c+5) is 12 - 7c.
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9. the average cost per night of a hotel room in san francisco is $550 with a standard deviation is $150 based on a sample of 50 hotel room rates. a. clearly state what the random variable in this problem is? b. what is an appropriate distribution to be used for finding the confidence intervals for this problem and why? c. construct a 99% confidence interval estimate on the mean of all hotel room rates. d. what is the 90% confidence interval estimate? e. what is the 95% confidence interval estimate?
a) x(bar) = 550
n = 50
s = 150
b) We should use the student t distribution because the population standard deviation is unknown and the sample size is not large enough.
c) The 99% confidence interval estimate on the mean of all hotel room rates is: (493.15, 606.85)
d) The 90% confidence interval estimate is: (514.43, 585.57)
e) The 95% confidence interval estimate is: (507.36, 592.64)
Confidence Interval Using t Distribution:In interval estimation, the confidence interval is constructed to show the amount of error that can be made during estimation. It involves adding and subtracting the margin of error from the best point estimate.
a) x(bar) = 550
n = 50
s = 150
The random variable here is the cost per night of a hotel room in San Francisco.
b) We should use the student t distribution because the population standard deviation is unknown and the sample size is not large enough.
c) Use equation below to construct the 99% confidence interval for the mean:
(X(bar)± \(t_\frac{\alpha}{2},_d_f_=_n_-_1\frac{s}{\sqrt{n} }\))
Find the critical value t:
\(t_0_._0_0_5_,_d_f_=_4_9=\) ± 2.68
Plugging values into the formula:
(550 ± 2.68 × \(\frac{150}{\sqrt{50} }\))
(550 ± 56.85)
(493.15, 606.85)
d) Find the critical value t that corresponds to 90% level of confidence and n - 1 degrees of freedom:
\(t_0_._0_0_5_,_d_f_=_4_9=\) ± 1.677
(550 ± 1.677 × \(\frac{150}{\sqrt{50} }\))
(550 ± 35.57)
(514.43, 585.57)
e) \(t_0_._0_2_5_,_d_f_=_4_9=\) 2.01
(550 ± 2.01 × \(\frac{150}{\sqrt{50} }\))
(550 ± 42.64)
(507.36, 592.64)
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Arturo has $480 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $201. 87.
• He buys 3 bicycle reflectors for $9. 82 each and a pair of bike gloves for $15. 79.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $32. 80 each.
Write and solve an inequality which can be used to determine o, the number of outfits
Arturo can purchase while staying within his budget.
Inequality: 1
Submit Answer
attempt 1 out of 2
Answer:
Step-by-step explanation:
201.87 + 3(9.82) + 15.79 + 32.80(o) < 480
247.12 + 32.80(o) < 480
32.80(o) < 480 - 247.12
32.80(o) < 232.88
o < 232.88/32.8
o < 7.1
He can purchase 7 outfits and stay within the $480 budget
6789 correct to the nearest 100
a diagonal walkway through a park is 38 meters long if the park is a square how long is one of its sides to nearest hundredth of a meter
The length of one side of the square park is approximately 26.87 meters.
To find the length of one side of the square park, we can use the Pythagorean theorem. In a square, the diagonal walkway forms a right-angled triangle with two equal sides (the sides of the square).
Let the length of one side be x meters. According to the Pythagorean theorem, the sum of the squares of the two shorter sides (x^2 and x^2) equals the square of the longest side (38^2).
x^2 + x^2 = 38^2
Combine the x^2 terms:
2x^2 = 38^2
Divide by 2:
x^2 = (38^2) / 2
Now, take the square root of both sides to find the length of one side:
x = √((38^2) / 2)
x ≈ 26.87 meters
The length of one side of the square park is approximately 26.87 meters.
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How far is A(7,8) from B(13, 16)?
Melissa invests $700 at 4% simple interest per year. How much interest will she earn in 3
years?
Answer:
Step-by-step explanation:
700(.04)(3)= $84
Rename 5/6 and 14/15 using the least common denominator.
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
Answer:
25/30 and 28/30
Step-by-step explanation:
answer for the plato mastery test
Hey guys p lease help!!
Answer:
24
Step-by-step explanation:
Using ratios, we know that PQ/PT = PR/PS = QR/TS
of course, we know this because of AA similarity.
PQ/PT = 1/2
so PR/PS = 1/2 => PS = 12*2 = 24
Answer:
24
Step-by-step explanation:
PQ is half of PT, therefore, if PR = 12, PS = 24
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Main title on the graph is Swimming Pool Population. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of People at the Pool. Dots are made at the ordered pairs 2.5, 1 and 5, 2 and 7.5, 2 and 7.5, 3 and 7.5, 4 and 10, 5 and 10, 6 and 12.5, 6 and 15, 7 and 15, 8 and 17.5, 5 and 17.5, 7 and 20, 9 and 22.5, 7 and 22.5, 9 and 25, 11 and 27.5, 12.
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answer:
Step-by-step explanation:
Part A: Based on the given graph, we can observe that as the temperature of the city increases, the number of people at the swimming pool generally tends to increase as well. This suggests a positive correlation between temperature and the pool's population. In other words, when it gets hotter, more people are likely to visit the swimming pool. The relationship is not strictly linear, but it shows a general trend of increasing pool population with increasing temperature.
Part B: To determine the line of best fit, we can calculate the approximate slope and y-intercept using the given data points. Let's select two points from the data, such as (2.5, 1) and (12, 12):
Slope (m) = (change in y) / (change in x)
= (12 - 1) / (12 - 2.5)
= 11 / 9.5
≈ 1.16
To find the y-intercept (b), we can choose one of the points and substitute the values into the slope-intercept form (y = mx + b). Let's use the point (2.5, 1):
1 = 1.16 * 2.5 + b
1 = 2.9 + b
b ≈ -1.9
Therefore, the approximate slope of the line of best fit is 1.16, and the approximate y-intercept is -1.9.
The diameter of a semicircle is 8 millimeters. What is the semicircle's radius?
Answer:
4 millimeters
Step-by-step explanation:
a radius is half of a diameter
Answer:
r = 4mm
Step-by-step explanation:
The radius is 1/2 of the diameter
r = 1/2 d
r =1/2 (8 mm)
r = 4mm