The table of values corresponding to the linear function that goes through (0, -2) and (2,0) is has points (x,y) in the following format:
(x, x - 2).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line goes through (0,-2), hence the y-intercept is b = -2. The slope is given by:
m = (0 - (-2))/(2 - 0) = 2/2 = 1.
Hence the equation is:
y = x - 2.
Thus the points on the table are related as follows:
(x, x - 2).
For example
x f(x)
0 -2
1 -1
2 0
3 1
4 2
5 3
And so on...
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Homework Progress
37/ 105 Marks
Gigi is going to buy 100 stickers.
Here is some information about the cost of stickers in two shops.
Stickers4u
Pack of 25 stickers for £2.25
World Stationery
Pack of 10 stickers for £1.75
Buy 1 pack get 1 pack free
Gigi wants to buy the stickers for the best possible price.
Which shop should Gigi buy the 100 stickers from?
You must show how you get your answer.
Show your workin
Gigi should buy stickers from World Stationery.
Define Expressions.
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Let's see the information about Stickers4u
Here, pack of 25 stickers is = £2.25
1 sticker cost = 2.25 / 25
= £0.09 per sticker
Now, information about World Stationery
Here, pack of 10 stickers is = £1.75
1 sticker cost = 1.75/10
= £0.175 per sticker
In this shop, the offer is also there i.e, Buy 1 pack get 1 pack free.
Therefore, Gigi should go with this shop for best possible price.
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\[ \{(-1,0),(-6,-9),(-4,-4),(-9,-9)\} \] What is the domain? (Type whole numbers. Use a comma to separate answers as needed.)
The domain of this set is {-1, -6, -4, -9}, which are the x-values of the given coordinates.
The domain of a set of coordinates represents the set of all possible x-values or inputs in a given set. In this case, the set of coordinates is {(-1,0),(-6,-9),(-4,-4),(-9,-9)}. The domain of this set is {-1, -6, -4, -9}, which are the x-values of the given coordinates.
The domain is determined by looking at the x-values of each coordinate pair in the set. In this case, the x-values are -1, -6, -4, and -9. These are the only x-values present in the set, so they form the domain of the set.
The domain represents the possible inputs or values for the independent variable in a function or relation. In this case, the set of coordinates does not necessarily indicate a specific function or relation, but the domain still represents the range of possible x-values that are included in the set.
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The complete question is:
{(−1,0),(−6,−9),(−4,−4),(−9,−9)} What Is The Domain? (Type Whole Numbers. Use A Comma To Separate Answers As Needed.)
help- this is already late-
Answer:
it's answer is 2a + 6a - 21
Step-by-step explanation:
2a + 3 ( 2a - 7)
= 2a + 6a - 21
Hope it will help :)❤
What is 80kmh to mph ?
The conversion factor between kilometers per hour and miles per hour is 1.609344. Therefore, to convert from kmh to mph, we need to divide the speed in kmh by this conversion factor. 80kmh is equivalent to approximately 49.71 mph.
To find the speed in mph, we can use the following formula:
mph = kmh / 1.609344
Plugging in the given speed of 80kmh, we get:
mph = 80kmh / 1.609344
mph = 49.70969538
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Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon
Answer:
2/9 yards
Step-by-step explanation:
Felicity cuts 27 equal strips from a 6-yard spool of ribbon. Which expressions show the number of yards for one strip of ribbon
From the above question:
27 equal strips of ribbon = 6 yards of spool
1 strip of ribbon = x yards
Cross Multiply
27 strips of ribbon × x yards = 6 yards × 1 strip of ribbon
x yards = 6/27
x yards = 2/9 yards
Therefore, for 1 strip of ribbon we need 2/9 yards
john and jack found a coin on the sidewalk. they argued about whether the coin is fair. john claimed a 40% chance for the coin to land on heads based on his careful observation of the coin. jack believed the chance would be lower. to support his claim jack tossed the coin 50 times and the observed sample is given below with 1 representing heads and 0 tails:
Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
Here:
we can use 1 sample proportion test to check the claim of John
H₀ : p₀ = 0.4
H₁ : p₀ ≠ 0.4
Test statistic is
z = p - p₀/√p₀(1-p₀)n
Let X be the random variable denoting the number of heads.
Now p = X/n
= 8/50
= 0.16
p₀ = 0.4
1-p₀ = 1-0.4
= 0.6
z = -3.464
since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.
Therefore we reject John's claim.
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LOOK AT PICTURE THEN ANWSER QUESTION, WHOEVER HAS CORRECT ANSWER I WILL MARK BRAINIEST!
I’ve got several graphing questions including solving linear systems that I need help with please. Thanks in advance
Given equation:
\(\begin{gathered} x+y=3.\ldots1) \\ 2x+7=-2y\ldots(2) \end{gathered}\)use elimination method.
consider the equation (2),
\(\begin{gathered} 2x+7=-2y \\ \Rightarrow2x+2y=-7\ldots(3) \end{gathered}\)consider the equation (1) and multiply with 2,
\(2x+2y=6\ldots(4)\)now consider the equation (3) and (4) and subract them,
\(\begin{gathered} 2x+2y=-7 \\ -2x-2y=-6 \\ --------- \\ 0=-13 \end{gathered}\)The equation is false.
Therefore the system of the equation has no solution.
the answer is (x,y) = (DNE, DNE)
10² - (-10)² - (-10)²
Answer:
-100 (10*10)- (-10*-10) - (10*10)
Step-by-step explanation:
Round the numbers in each expression to the nearest whole number.
Then select all expressions that are about 8.
A.
3
1
5
+
5
7
9
B.
15
5
7
−
8
2
9
C.
1
5
8
+
5
2
5
D.
10
1
4
−
1
11
15
E.
2
7
10
+
4
8
9
Answer:
B D E
Step-by-step explanation:
If a item is $30 and the is 20% off the regular price how much would it be
Answer:
20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.
Step-by-step explanation:
write 10 rational numbers between -1/3 and 1/3
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?
Answer: 3
Step-by-step explanation:
Find the Length of each segment
9. WY
The length of the segment WY is 6.81 units
Finding the Length of tthe segment WYFrom the question, we have the following parameters that can be used in our computation:
Similar triangles
Because the triangles are similar. sp we have the following ratio
9/7 = 8.75/WY
Make WY the subject
So, we have
WY = 7 * 8.75/9
Evaluate
WY = 6.81
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Name a dance step and name TWO muscles used during the dance step:
will give brainliest !!! please help…
Define Chi square test OR Tests of significance based on Chi-Square. A: -Various tests of significance described previously have mostly applicable to only quantitative data and usually to the data which are approximately normally distributed. It may also happens that we may have data which are not normally Inference: (i) If Z0 ≤ Ze we accept the H0 (ii) If Z0 >Ze we reject the H0 Example: A test of the breaking strengths of two different types of cables was conducted using samples of n1 = n2 = 100 pieces of each type of cable. Do the data provide sufficient evidence to indicate a difference between the mean breaking strengths of the two cables? Use 0.01 level of significance. x = 1925 and sigm = 40 and X2 = 1905, sigma = 30
The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.
The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.
To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.
Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.
To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.
Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.
If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.
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Find three consecutive off integers such that the difference of the third and second is
Twice the first.
Your parents are allowing you to purchase new clothes for school. You go to Hollister, where shirts are all on sale for $24.00 and jeans are all on sale for $35.00. After trying on some clothes, you check out and leave the store with 13 things in your bag and a receipt that says that you spent $367.00. How many shirts and jeans did you buy?
Define the variables: x= ___________ y=________
Equation #1:______________
Equation #2:______________
Solution: _____________
Answer: 8 shirts 5 jeans
Step-by-step explanation:
If 225 is the dividend and 15 is the divisor, then what is the quotient?
Answer:
The answer is 15.
Step-by-step explanation:
When dividing 225 by 15 you can multiply 15 by 15 and you will get 225.
4b + 6 = 2 – b + 4
b = –2
b = 0
b = 4
b = 6
Answer:
b = 0
Step-by-step explanation:
4b + 6 = 2 – b + 4
Add 1b both side
4b + 6 + 1b = 2 - b + 4 + 1b
5b + 6 = 2 + 4
5b + 6 = 6
Subtract both side by 6
5b + 6 - 6 = 6 - 6
5b = 0
Divide both side by 5, we get
b = 0
I rlly need some help
Answer:
5/3π or 5.2
Step-by-step explanation:
30 / 360 = x / 20π
then x = 5/3π or 5.2
Answer:
5/3 \(\pi\)
Step-by-step explanation:
30/360 * 2 \(\pi 10\)
1/12 * 2 \(\pi 10\)
20/12 \(\pi\)
5/3 \(\pi\)
if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?
Answer:
The Median is 75
Step-by-step explanation:
Medianmedian is the middle number in a set of given numbers
arranging in order will be
30,64,70,80,90,110
the middle numbers are 70 and 80
Median=80+70/2
=150/2
Median=75
if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answer:
\(\frac{1}{36}\)
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).
Which inequality represents the graph
Answer:
z≥-10
Step-by-step explanation
it just is, trust.
An example of an irrational number is _____.
A. Start Root 16 End Root
B. Start Root 25 End Root
C. The term states the square root of 36.
D. Start Root 47 End Root
Answer:
D. Start Root 47 End Root
Step-by-step explanation:
i took the test ok
2. Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer areαandβrespectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins if
a) A answers the first question,
b) B answers the first question.
a) The probability that A wins if A answers the first question is α / (α + β).
b) The probability that A wins if B answers the first question is βα+β.
a) If A answers the first question, then the game will be over only if A answers the first question correctly, which has a probability of α. If A answers incorrectly, then B gets to answer the next question, and we are in the same situation but with A's and B's roles reversed. Therefore, the probability that A wins in this case is given by:
P(A wins | A answers first) = α + (1 - α)β P(A wins | B answers first)
b) If B answers the first question, then we are in the same situation as in part a) but with A's and B's roles reversed. Therefore, the probability that A wins in this case is given by:
P(A wins | B answers first) = β P(A wins | A answers first) + (1 - β)β P(A wins | B answers first)
We can solve these equations for P(A wins | A answers first) and P(A wins | B answers first) using algebraic manipulation. For example, we can rearrange the equation in part a) to get:
P(A wins | A answers first) = α / (1 - (1 - α)β)
Similarly, we can rearrange the equation in part b) to get:
P(A wins | B answers first) = β / (1 - (1 - β)α)
Note that these probabilities depend on the values of α and β, which represent the abilities of A and B to answer questions correctly.
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Help me Please
The boy scouts are selling popcorn for $25 a bag. They have already sold $525 worth and want to make at least $5750. Write an inequality to find the least number of bags of popcorn they need to sell to reach their goal. How many bags is that?
Answer:
B ≥ 209
Step-by-step explanation:
This is the equation - 25b + 525 ≥ 5750 .
Comment if I solved it incorrectly ;-;
How do I find the slope of the line?
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
Step-by-step explanation:
yeah
Answer:
Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
I don't know if you want an example?
liz is installing a tile backsplash. if each tile is an equilateral triangle with sides that measures 6 cm in length how many tiles does she need to cover an area of 1800 cm²
Answer:
116 tiles
Step-by-step explanation:
You want to know the number of 6 cm equilateral triangle tiles required to cover 1800 cm².
AreaThe area of an equilateral triangle of side s is given by the formula ...
A = (√3/4)s²
The area of a 6 cm equilateral triangle tile is ...
A = (√3/4)(6 cm²) = 9√3 cm² ≈ 15.588 cm²
TilesThe number of tiles required is the total area divided by the area per tile:
1800 cm² / (15.588 cm²/tile) ≈ 115.47 tiles
In order to cover 1800 cm², Liz will need 116 triangular tiles.
Answer:
100 tiles
Step-by-step explanation:
Each tile is an equilateral triangle with sides 6 cm in length, so the area of each tile can be found using the formula for the area of a triangle:
\(\sf:\implies{A = (b \times h) / 2}\)
where b is the base and h is the height.
Since each side of the triangle is 6 cm, the base and height of the triangle are both 6 cm, so:
\(\sf:\implies{A = (b \times h) / 2}\)
\(\sf:\implies{A = (6 \times 6) / 2}\)
\(\sf:\implies{A =18}\)
So each tile has an area of 18 cm².
To find the number of tiles needed to cover an area of 1800 cm², divide the total area by the area of each tile:
\(\sf:\implies{A = 1800 / 18}\)
\(\sf:\implies{A = 100}\)
Therefore, Liz needs 100 tiles to cover an area of 1800 cm².
A simple random sample with n = 56 provided a sample mean of 22.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)
a) Develop a 90% confidence interval for the population mean.
b) Develop a 95% confidence interval for the population mean.
c) Develop a 99% confidence interval for the population mean.
a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).
b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).
c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).
To develop confidence intervals for the population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
where the standard error is equal to the sample standard deviation divided by the square root of the sample size.
a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.
From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.
The standard error can be calculated as:
Standard Error = sample standard deviation / sqrt(sample size)
Standard Error = 4.4 / sqrt(56)
Standard Error ≈ 0.5882
Now we can calculate the confidence interval:
Confidence Interval = 22.5 ± (1.671 * 0.5882)
Confidence Interval = 22.5 ± 0.9816
Confidence Interval ≈ (21.52, 23.48)
b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.004 * 0.5882)
Confidence Interval = 22.5 ± 1.178
Confidence Interval ≈ (21.322, 23.678)
c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.678 * 0.5882)
Confidence Interval = 22.5 ± 1.574
Confidence Interval ≈ (20.926, 24.074)
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