Answer:
Find the domain for
y
=
√
x
−
1
so that a list of
x
values can be picked to find a list of points, which will help graphing the radical.
Tap for more steps...
Interval Notation:
[
1
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
1
}
To find the radical expression end point, substitute the
x
value
1
, which is the least value in the domain, into
f
(
x
)
=
√
x
−
1
.
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0
The radical expression end point is
(
1
,
0
)
.
(
1
,
0
)
Select a few
x
values from the domain. It would be more useful to select the values so that they are next to the
x
value of the radical expression end point.
Tap for more steps...
x
y
1
0
2
1
3
1.41
image of graph
Step-by-step explanation:
Which is true about the diagram? Select two options.
mZWYX = 46°
mZYWX = 630
mZyWX= 1340
mZYWX= 46°
OmZWYX= 1349
Answer:
3-)
5-)
Step-by-step explanation:
Answer:
#3 and #5
Step-by-step explanation:
AMOGUS. Red Sussy
Two angles are supplementary if the sum of their measures is 180.
ABC = JKL and AB = 2x + 12. JK = 4x - 50. Find x and AB.
Answer:
x = 31; AB = 74
Step-by-step explanation:
if ABC = JKL then AB = JK
2x + 12 = 4x - 50
2x + 12 - 4x + 50 = 0
- 2x = - 62
x = 31
AB = 2 * 31 + 12 = 62 + 12 = 74
Peter makes 15 dollars an hour and he spends 25 dollars a day on transportation and food. Write an expression to describe his spendings and earnings in a day, where h is the number of hours that Peter works that day
15h - 25 dollars is an expression to describe his spendings and earnings in a day.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Peter makes 15 dollars an hour, so if he works for h hours, he earns:
15h dollars
Peter spends 25 dollars a day on transportation and food, so his total spending can be expressed as:
25 dollars
Therefore, his total earnings minus his total spending can be expressed as:
15h - 25 dollars
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Which equation in slope-intercept form represents a line that passes through the point (2,3) and is parallel to the line y-9=2/3(x+7)
Answer:
y=(2/3)x+5/3
Step-by-step explanation:
y-9=2/3(x+7)
y=(2/3)x+14/3+9
The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:
y=(2/3)x+b (where b is the y-intercept)
We can plug in the values (2,3) into this equation to find b:
3=(2/3)*2+b
3=4/3+b
b=5/3
The equation is: y=(2/3)x+5/3
Find the ordered triplet (x,y,z) for the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7
The ordered triplet (x, y, z) or the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7 is (-170/127, -89/127, 282/127).
Start with the first equation:
x + 3y + 2z = 1
Isolate x by subtracting 3y and 2z from both sides:
x = 1 - 3y - 2z
Substitute this expression of x into the second equation:
0.3x + y + 5z = 10
Substitute the value of x found in step 2 into this equation:
0.3(1 - 3y - 2z) + y + 5z = 10
0.3 -0.9y -0.6z + y + 5z = 10
0.1y + 4.4z = 9.7
y + 44z = 97
Solve for y by isolating it:
y = 97 - 44z
Substitute this expression of y into the first equation:
x + 3(97 - 44z) + 2z = 1
x + 291 - 132z + 2z = 1
Solve for x:
x = 130z - 290
Substitute this expression of x into the third equation:
-2(130z - 290) - 3(97 - 44z) + z = 7
-260z + 580 - 291 + 132z + z = 7
Solve for z:
127z = 282
z = 282/127
Substitute this value of z into the expression of y:
y = 97 - 44(282/127)
= -89/ 127
Substitute the values of z into the expression of x:
x = 130(282/127) - 290
= - 170/ 127
So the solution of the system of equations is: x = -170/127, y = -89/127, z = 282/127.
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THIS IS SO HARD ILL CROWN U BRANLIEST IF U GET IT CORRECT
Which shows the solution of the combined inequality?
−1≤2−j<−5
Number line ranging from negative six to zero with a line beginning with an open point at negative five and ending with a closed point at negative one
Number line ranging from negative six to zero with a line beginning with a closed point at negative five and ending with an open point at negative one
Number line ranging from zero to six with a line beginning with a closed point at one and ending with an open point at five
no solution
Answer:
Its B
Step-by-step explanation:
My classmate told me and I got it right
Answer: no solution
Step-by-step explanation:
took the test
WILL GIVE brainliest freely to anyone pls add me
Answer:
Add you as what?
Step-by-step explanation:
A friend?
Suppose you had a tree with 14 vertices, A, B, . . . , N. You wrote down the pre and post orderings for the vertices:
Preorder: A, B, D, E, H, L, M, I, F, C, G, J, K, N
Postorder:D, L, M, H, I, E, F, B, J, N, K, G, C, A
Then you lost your graph. Can you reconstruct the tree? If so, do.
Yes, you can reconstruct the 14 vertices tree , A, B, . . . , N using the given pre-order and post-order traversals.
Here is a step-by-step explanation of how to do it:
Start with the first vertex in the pre-order list (A). This vertex will be the root of the tree.
Find the position of A in the post-order list. All the vertices before A in the post-order list will be in the left subtree, and all the vertices after A will be in the right subtree.
Repeat the process for the left subtree and right subtree separately, using the same approach of finding the root (the first vertex in the pre-order list for that subtree) and splitting the post-order list into left and right subtrees accordingly.
Following these steps, you will reconstruct the tree as follows:
Root: A
Pre-order left subtree: B, D, E, H, L, M, I, F
Post-order left subtree: D, L, M, H, I, E, F, B
Pre-order right subtree: C, G, J, K, N
Post-order right subtree: J, N, K, G, C
Repeating the process for the left subtree:
Root: B
Pre-order left subtree: D, E, H, L, M, I
Post-order left subtree: D, L, M, H, I, E
Pre-order right subtree: F
Post-order right subtree: F
Repeating the process for the right subtree:
Root: C
Pre-order left subtree: G, J, K, N
Post-order left subtree: J, N, K, G
Pre-order right subtree: None
Post-order right subtree: None
Continuing this process for each subtree, you will reconstruct the original tree.
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We want to know what percentage of the population have college degrees. We take a sample of 100 individuals and find that 28 have college degrees. Answer the following, rounding your answers to 2 decimal places. a. What is the sample proportion? b. Find the SE. c. Construct a 95% confidence interval. d. What does this 95% confidence interval tell us about our population proportion p? (One sentence is the perfect length for an answer)
Answer:
a) p = 28/100 p = 0,28 or p = 28%
b) SE = 0,0448
c) CI 95 % = ( 0.1921 ; 0.368 )
We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits
Step-by-step explanation:
a) Sample proportion: Is the number of positive success divide by sample size
That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree ( positive success)
Then p = 28/100 p = 0,28 or p = 28%
b) The standard error is
SE = (√p*q)/n
p = 0,28 then q = 1 - 0,28 q = 0,72
SE = √ (0.28)*(0.72)/100
SE = √0.002016
SE = 0,0448
c) CI = 95 % then significance level is α = 5 % α = 0.05
α/2 = 0.025
From z- table we find z(c) = 1.96
Then CI 95 % = p₀ ± z(c) * SE
CI 95 % = 0.28 ± 1.96*0.0448
CI 95 % = ( 0.28 ± 0.088 )
CI 95 % = ( 0.1921 ; 0.368 )
d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits
All 10 of the orangutans at a certain zoo contract a very serious disease which claims 80% of its victims (if an orangutan contracts the disease, the probability that it will die is 0.80). What is the probability that exactly two of the orangutans at this zoo will survive?
A. 0.200
B. 0.800
C. 0.302
D. 0.698
The probability that exactly two of the orangutans at the zoo will survive is 0.302.
This problem can be solved using the binomial distribution formula, which calculates the probability of obtaining k successes (survivors in this case) in n trials (orangutans in this case) given a probability p of success (orangutan surviving in this case). The formula is:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
In this case, n = 10, k = 2, p = 0.20 (the probability of an orangutan surviving is 1-0.80 = 0.20). Plugging these values into the formula, we get:
P(2) = (10 choose 2) * 0.20^2 * 0.80^8
P(2) = 45 * 0.04 * 0.16777216
P(2) = 0.302
Therefore, the probability that exactly two of the orangutans at the zoo will survive is 0.302, or approximately 30.2%.
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3 over 4 = 1 over 4 m
The value of m in the proportion is given as follows m = 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The proportion is defined as follows:
3/4 = (1/4)m.
As the values have a proportional relationship, the value of m can be obtained applying cross multiplication, as follows:
3/4 = (1/4)m
cross multiplication;
3/4 x 4 = m
m = 3
Hence m =3 is the value that satisfies the proportion in this problem.
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Can anybody figure this out for me?
Answer:
h=6+(2t)
Step-by-step explanation:
Given the following values of x, s, and n, form a 90% confidence interval for σ2 a. x = 16, s = 2.6, n = 60 b. x = 1.4, s= 0.04, n= 17 c. x- 160, s 30.7, n 23 d. x 8.5, s 1.3, n 5
Using the formula, the confidence interval is: [(4)(1.3^2) / χ^2_(0.05,4), (4)(1.3^2) / χ^2_(0.95,4)]
To form a confidence interval for the variance σ^2, we can use the chi-square distribution. The formula for the confidence interval is:
[(n-1)s^2 / χ^2_(α/2,n-1), (n-1)s^2 / χ^2_(1-α/2,n-1)]
Where:
n is the sample size
s^2 is the sample variance
χ^2_(α/2,n-1) is the chi-square value for the upper α/2 percentile
χ^2_(1-α/2,n-1) is the chi-square value for the lower 1-α/2 percentile
We are given four different sets of values for x, s, and n. Let's calculate the confidence intervals for each case:
a. x = 16, s = 2.6, n = 60:
Using the formula, the confidence interval is:
[(59)(2.6^2) / χ^2_(0.05,59), (59)(2.6^2) / χ^2_(0.95,59)]
b. x = 1.4, s = 0.04, n = 17:
Using the formula, the confidence interval is:
[(16)(0.04^2) / χ^2_(0.05,16), (16)(0.04^2) / χ^2_(0.95,16)]
c. x = 160, s = 30.7, n = 23:
Using the formula, the confidence interval is:
[(22)(30.7^2) / χ^2_(0.05,22), (22)(30.7^2) / χ^2_(0.95,22)]
d. x = 8.5, s = 1.3, n = 5:
Using the formula, the confidence interval is:
[(4)(1.3^2) / χ^2_(0.05,4), (4)(1.3^2) / χ^2_(0.95,4)]
To obtain the actual confidence intervals, we need to look up the chi-square values for the given significance level α and degrees of freedom (n-1) in a chi-square distribution table.
Once we have the chi-square values, we can plug them into the confidence interval formula to calculate the lower and upper bounds of the confidence interval for each case.
Note: Since the question provides specific values for x, s, and n, the calculations for the confidence intervals cannot be completed without the corresponding chi-square values for the given significance level.
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17. The perimeter of each face of a Rubik's cube is
22.2 centimeters. What is the length of an edge
of a Rubik's cube?
A Rubik's cube is, well, a cube.
That means that each if its faces is a square, a quadrilateral with four right angles and four sides if the same length.
If the length of one side is x,
4x=22.2
x=5.55 centimeters.
Hope this helps!
Your fortune is "All your hard work will finally pay off."
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trombonebookworm)
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of multiplication problems to division problems?
Type your answer as a fraction in simplest form.
Answer:
12:24 = 1:2
Step-by-step explanation:
Since there are 12 multiplication problems, and 24 division problems, the ratio of multiplication and division problems are 12:24, now we need to put it in simplest form.
We need to find the highest number of which both are divisible by, 12 and 24 are both divisible by 12.
So 12÷12 = 1, and 24÷12 = 2, so 12:24 in simplest form is 1/2 or 1:2.
Answer:
1/2
Step-by-step explanation:
12 is half of 24. Therefore, the answer as a fraction in simplest form is 1/2.
monique and tara each make an ice-cream sundae. monique gets 3 scoops of cherry ice-cream and 1 scoop of mint chocolate chunk ice-cream for a total of 84g of fat. tara has 1 scoop of cherry and 3 scoops of mint chocolate chunk for a total of 60g of fat. how many grams of fat does 1 scoop of each type of ice cream have?
The amount of fat in Cherry ice-cream is 24 grams.
The amount of fat in the Mint Chocolate Chunk ice-cream is 12 grams.
Writing data into equations using Algebra,3C + M = 84...(1)C + 3M = 60...(2)
Multiplying equation (2) by 3 and then subtracting equation (1) from
the result gives, 3 * (C +3M) = 3 × 603C + 9M = 180...(3)(3C + 9M = 180) - (3C + M = 84) = 8M =96M= 12
The amount of fat in the Mint Chocolate Chunk ice-cream, M = 12
grams C + 12*3 = 60C = 60-36 = 24
The amount of fat in Cherry ice-cream C = 24 grams As a result, Cherry ice cream contains 24 grams of fat and Mint Chocolate Chunk ice cream contains 12 grams of fat.
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liquidity ratios the top part of mars, inc.'s 2013 balance sheet is listed as follows (in millions of dollars). picture what are mars, inc.'s current ratio, quick ratio, and cash ratio for 2013?
Liquidity ratios measure a company's capacity to meet its short-term obligations. Three key liquidity ratios, including the current ratio, quick ratio, and cash ratio, will be calculated for Mars, Inc.'s 2013 balance sheet, as shown below. The Current ratio indicates the company's ability to pay its short-term debts using its current assets.
The current ratio is calculated by dividing current assets by current liabilities. The quick ratio is a measure of a company's ability to meet its short-term obligations using liquid assets. The quick ratio is calculated by dividing the sum of cash, accounts receivable, and short-term investments by current liabilities. The cash ratio is a measure of a company's ability to cover its current liabilities with cash and equivalents.
The cash ratio is calculated by dividing cash and cash equivalents by current liabilities. The balance sheet for Mars, Inc. for 2013 is not provided. Hence, we cannot find its liquidity ratios without the necessary information.
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The number of times an item occurs in a data set is called what?
Answer:
Frequency
Step-by-step explanation:
Hope this helps.
graph the image of each polygon with the given vertices after a dialation centered at the origin with the given scale factor.Q(-1, -1), R(0,2), S(2,1); r= 3/2
We draw a triangle QRS with vertices shown:
After dilation with a scale factor of r = 3/2, we multiply each coordinate by 3/2 and find the new coordinates Q', R', and S', respectively.
Shown below:
\(\begin{gathered} Q(-1,-1) \\ Q^{\prime}=(-1\times\frac{3}{2},-1\times\frac{3}{2}) \\ Q^{\prime}=(-\frac{3}{2},-\frac{3}{2}) \\ \text{and} \\ R(0,2) \\ R^{\prime}=(0\times\frac{3}{2},2\times\frac{3}{2}) \\ R^{\prime}=(0,3) \\ \text{and} \\ S(2,1) \\ S^{\prime}=(2\times\frac{3}{2},1\times\frac{3}{2}) \\ S^{\prime}=(3,\frac{3}{2}) \end{gathered}\)Drawing Q' R' S', we have the dilated triangle graph:
Please help me!!!! please
need help ASAP!!! please and thank you :)
Answer:
6
Step-by-step explanation:
6 times 6 = 36
36 times 6 = 216
fine the y-intercept of the line on the graph.
which of the following represents the length of ACA. 7²- 4²B. √7²+4²C. √7²-4²D. 7²+4²
Solution
For this case we have a right triangle so then we can do this:
\(7^2=4^2+x^2\)We can solve for the value of x and we got:
\(x=\sqrt[]{7^2-4^2}\)a
The eighth-grade class has a total of 162 students. The students need to be
divided evenly into homerooms. There needs to be at least 20 students in
each homeroom. List all the possible combinations. Which combination
makes the most sense? Explain.
Answer:
162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.
Step-by-step explanation:
Refer to the answer.
Answer:
56
Step-by-step explanation:
A 6-pack of bouncy balls costs $2. 76. What is the unit price?
A 6 pack of bouncy ball costs 2.76$ and the unit price of a bouncy ball is $0.46
To find the unit price of the bouncy balls, we need to divide the total cost by the number of bouncy balls in the pack. Since there are 6 bouncy balls in the pack and the cost is $2.76, we can calculate the unit price as follows: Unit price = total cost ÷ number of units
Unit price = $2.76 ÷ 6
Unit price = $0.46
Therefore, the unit price of a bouncy ball is $0.46.
Unit price is a measure of the cost of a single unit of a product. It is calculated by dividing the total cost of a product by the number of units in the package. The unit price is helpful when comparing the costs of different package sizes or brands of the same product. It allows consumers to make informed decisions about their purchases based on the value they receive for their money. Unit pricing is required by law in some countries, including the United States, to ensure transparency in pricing and to protect consumers from deceptive marketing practices. Overall, knowing the unit price of a product can help consumers save money and make more informed purchasing decisions.
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a 95% ci for the unknown mean of some distribution contains the number zero. (a) you construct the corresponding 98% ci, using the same data. will it again contain the number zero? (b) you collect new data, resulting in a data set of the same size. with this data, you construct a 95% ci for the unknown mean. will the interval contain zero?
It is uncertain whether the corresponding 98% CI (Confidence interval), using the same data will contain zero. It is Possible that the new 95% CI will not contain zero due to different data, or still contain zero depending on data and distribution.
It is not possible to determine with certainty whether the corresponding 98% confidence interval (CI) will contain the number zero without knowing the underlying distribution and the sample size. However, it is possible for the 98% CI to not contain the number zero, even if the 95% CI did contain the number zero.
This is because the 98% CI will be wider than the 95% CI, and therefore, it is possible for the range of values to exclude the number zero.
If new data is collected and a 95% CI is constructed using this data, it is possible that the interval will not contain the number zero, even if the previous 95% CI did contain the number zero. This is because the new data may provide a different estimate of the population mean, resulting in a different confidence interval.
However, it is also possible that the new 95% CI will still contain the number zero, depending on the new data and the underlying distribution.
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if q= (7 -1) and r= (-4 5) find | q+ r|
Answer: 6+1=7
Step-by-step explanation:
The sum of fifteen and six times a number t is eighty-one.
Answer:
11
Step-by-step explanation:
15 + (6 multiplied by x) = 81
81 - 15 = 66
66 / 6 = 11
-41 + 22 negative or positive
Answer:
-19
Step-by-step explanation: