Answer & explanation:
City A = 80 ft below sea level
City C = 16 ft below sea level
City D = 1/2 of City C.
16 / 2 = 8
8 is the answer. Part B: The answer negative.
Please help me with this question and please show me step by step and the frmula used.
By interpretating the graph of a quadratic equation, the initial height of the ball is equal to 5 feet above ground.
How to determine the initial height of the ball
In this problem we must determine the initial height of the ball according to a graph, whose form resembles quadratic equations. Graphically speaking, the initial height is the y-coordinate of the y-intercept. First, the coordinates of the y-intercept of the equation are:
(t, h) = (0 s, 5 ft)
Second, the final height of the ball is equal to:
h = 5 ft
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( 70 POINTS!! ) In a survey of 2837 adults, 1436 say they have started paying bills online in the last year.
Construct a 99% confidence interval for the population proportion. Interpret the results.
Question
Part 1
A 99% confidence interval for the population proportion is =( ? , ? )
.
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
B. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
The correct answer is Part 1: The 99% confidence interval for the population proportion is approximately (0.4716, 0.5416).Part 2: With 99% confidence, the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
Part 1:
To construct a 99% confidence interval for the population proportion, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
where the margin of error is determined by the level of confidence and the standard error.
First, let's calculate the sample proportion:
Sample Proportion = (Number of adults who say they have started paying bills online) / (Total number of adults surveyed)
Sample Proportion = 1436 / 2837 ≈ 0.5066 (rounded to four decimal places)
Next, we need to calculate the standard statistics error, which is the measure of the variability in the sample proportion:
Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)
Standard Error = sqrt((0.5066 * (1 - 0.5066)) / 2837) ≈ 0.0136 (rounded to four decimal places)
Now, we can calculate the margin of error:
Margin of Error = Critical Value * Standard Error
The critical value is based on the desired confidence level. For a 99% confidence level, the critical value is approximately 2.576 (obtained from a standard normal distribution table).
Margin of Error = 2.576 * 0.0136 ≈ 0.0350 (rounded to four decimal places)
Finally, we can construct the confidence interval:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.5066 ± 0.0350
Confidence Interval ≈ (0.4716, 0.5416) (rounded to four decimal places)
Part 2:
The correct interpretation is:
C. With 99% confidence, it can be said that the population proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval.
This means that we are 99% confident that the true proportion of adults who have started paying bills online falls within the range of 0.4716 to 0.5416. The survey results suggest that approximately 47.16% to 54.16% of the population of adults have started paying bills online in the last year.
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In which direction will the parent function be shifted to to create the graph
Answer:
The function shifted up to 3 units.
Step-by-step explanation:
To approach this situation, use the transformation rules for functions:
\(\text{ f(x)+d vertical translation up d units}\)Therefore, if the function created is represented as:
\(y=\log _4(x)+3\)The function shifted up to 3 units.
A $17,000 deposit in an account with an APR of 3.5%. The balance in the account after 20 year is approximately
Answer:
it will be 11900 in 20 years.
If jan can buy 12 copies of a certain book for $40 what is the unit rate cost per copy
Answer:
3.33 repeated
Step-by-step explanation:
Since we know that 12 copies are $40, we can set up an equation which would look like this.... 40/12=1/x in order to find the unknown, let's call that x, we have to divide both the 40 AND the 12 by 12, the reason we are diving by 12 and not 40 is because we need to identify the cost per copy.
So the overall answer would be 3.33 dollars/1 copy in other words $3.33 per one copy.
You are building a ramp for your grandparent’s house. The ramp will replace the steps that go to their front door which is 3 feet off the ground. You want the ramp to start 10 ft from the front door. How long will the ramp need to be?
Answer:
10.4403 or the square root of 109
Step-by-step explanation:
We do this by finding the height (3) and squaring it then the base (10) and squaring that, this sets up the Pythagorean theorem which is A^2+B^2=C^2 then you square C to find it's value
I need help with my math!!!
you apply the concept of vertical angles and 180-degree angle
add 43 and 74 to get 117 now subtract it by 180 you get 63 for angle 1
now since angle 1 and 2 are vertical they are both 63
now for angle 3 you add 63 plus 79 is 142 so, we subtract 142 by 180
therefore, angle 3 is 38 degrees
remember angles cannot be negative at all!
Pablo mixed 2 1/2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?
A. 20
B. 26
C. 32
D. 36
Find the midpoint M of the line segment joining the points A = (-8, -8) and B = (-2, 4).
Answer:
(-5, -2)
Step-by-step explanation:
To find the midpoint between two points you can find the difference between the two x coordinates and the two y coordinates.
x: -8 and -2 are 6 units away from each other
y: -8 and 4 are 12 units away from each other
You can then divide the difference by two
x: 3
y: 6
Then add the divided difference to the lower number coordinate.
x: -8+3= -5
y: -8+6= -2
Find the value of (-1, -3, -2) (4, 7, 3) (3, 9, 9)
Answer:
C.
15
Step-by-step explanation:
Please see attached photo for my problem from homework set. Thanks in advance!
Question:
Solution:
a) Consider the following equation:
\((x+4)(x-2)=7\)applying the distributive property, we get:
\(x^2+2x-8\text{ =}7\)now, putting all terms on one side of the equation, we get:
\(x^2+2x-8-7=0\)this is equivalent to:
\(x^2+2x-15=0\)Factoring this expression, we get:
\((x-3)(x+5)=0\)according to the equation, we can conclude that the solutions for the given equation are:
\(x\text{ = 3}\)and
\(x=\text{ }-5\)b) Consider the following equation:
\(6x^2+9x-22\text{ =0}\)applying the quadratic formula:
\(\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)where
a = 6,
b = 9
and
c = -22,
we obtain that the solutions of the given equations are:
\(x\text{ =}\frac{-9+\sqrt[]{609}}{12}=\text{ 1.3}0\)and
\(x\text{ =}\frac{-9-\sqrt[]{609}}{12}=\text{ -2.8}0\)Find the area of the triangle.
3 9
A
5
B
?] units²
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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When should I take standard deduction?
A taxpayer's taxable income is reduced by the standard deduction. It makes sure that only families who make more than a specific amount of money will have to pay income tax. When submitting their tax returns, taxpayers have the option to take the standard deduction, which lowers their taxable income and the amount of taxes they must pay.
You might have to spend more time on your tax return. If you itemize, you'll need to set aside extra time when preparing your returns to fill out the big enchilada of tax forms: the Form 1040 and Schedule A, as well as the supporting schedules that feed into those forms.
Add up your itemized deductions and compare the total to the standard deduction available for your filing status. If your itemized deductions are greater than the standard deduction, then itemizing makes sense for you. If you're below that threshold, then claiming the standard deduction makes more sense.
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first to help gets brainliest
Write an expression to match this situation and combine like terms: Ling has 4m pounds of flour. She buys another 2 packages of flour, each weighing m pounds. How much flour does ling have in terms of m?
Answer:
4m + 2m = 6m
Step-by-step explanation:
Use the graph to determine the domain and range of the function.
Q
(-8,5)
20-
16-
-20-16-12-8-4
(-12,-11)
8-
st
-8-
-12-
-16-
-20
(1-1)
(-2,-4)
X
4 8 12 16 20
Q
5
hs
HEE
The domain is
(Type your answer in inte
The domain is {-8, -12, 1, -2} and the range is {5, -11, -1, -4}
How to determine the domain and the rangeFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have
(-8,5) (-12,-11) (1-1) (-2,-4)
The domian is the set of the input values
Using the ordered pairs as a guide, we have
Domain = {-8, -12, 1, -2}
For the range, we have
The range is the set of the output values
So, we have
Range = {5, -11, -1, -4}
Hence, the range is {5, -11, -1, -4}
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The ratio of parrots to cats in the pet store is 5 to 20. If there are 4 parrots
how many cats are there?
A. 16
B. 1
C. 20
D. 25
Answer:
A. 16
Step-by-step explanation:
Which word best describes the degree of overlap between the two data sets?
Responses
high
high
moderate
moderate
low
low
none
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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if f(x) = 2x-1 and g(x) = x²-3x -2, find (f+g)(x)
Answer:
(f+g)(x) = x²-x-3
Step-by-step explanation:
2x-1 + x² -3x-2
x²-x-3
Answer:
\((f + g)(x)\) = \(x^2 - x - 3\)
Step-by-step explanation:
• We are given:
\(f(x) = 2x -1\)
\(g(x) = x^2 -3x -2\)
• To calculate \((f + g)(x)\), we have to add the expressions for \(f(x)\) and \(g(x)\)
⇒ \(f(x) + g(x)\)
⇒ \(2x-1 + x^2 -3x -2\)
⇒ \(x^2 - x - 3\)
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
Emily bought 2 kilograms of rice for $6.25.
Select True or False for each statement.
O True
O False
The product (25) will give the unit price of one kilogram of rice.
0 True
O False
Emily paid less than $1.50 per kilogram of rice.
O True
O False
If Emily has $1.00 to spend on rice, she can get io of a kilogram of rice.
#CarryOnLearning
Answer:
1.) False
The product \(\bold{\frac{5}{2}}\)(\(\bold{\frac{4}{25}}\)) will give the unit price of one kilogram of rice.
2.) False
Emily paid less than $1.50 per kilogram of rice.
3.) True
If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get \(\frac{4}{10}\)$ of a kilogram of rice.
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the finite element method permits one to use group of answer choices triangular elements quadrilateral elements rectangular elements all of the above none of the above
The finite element method permits one to use d. all of the above.
What is finite element method?Finite element method this numerical solving method that popular to use for differential equation in mathematical modeling or engineering.
The field that use this method to solve the problem is including heat transfer, mass transport, structural analysis, fluid flow, and electromagnetic potential.
Finite element method use the triangular elements, quadrilateral element, or rectangular element in the same level as its use is determined by the user.
Thus, all the element in group of choices is correct.
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Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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The mean of a, 31, 42, 65, and b is 51. The greatest number is 67 more than the least number. What are the missing numbers? Please explain.
The missing numbers are a = 25 and b = 92.
Let's start by finding the mean of the given numbers. The mean is calculated by summing all the numbers and dividing the sum by the total count. In this case, we have:
(a + 31 + 42 + 65 + b) / 5 = 51
Now, we can simplify the equation:
a + 31 + 42 + 65 + b = 51 x 5
a + 138 + b = 255
Next, we know that the greatest number is 67 more than the least number:
b = a + 67
Now we can substitute this value into the previous equation:
a + 138 + (a + 67) = 255
Combining like terms:
2a + 205 = 255
Subtracting 205 from both sides:
2a = 50
Dividing both sides by 2:
a = 25
Substituting this value back into the equation b = a + 67:
b = 25 + 67
b = 92
Therefore, the missing numbers are a = 25 and b = 92.
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what is the quotient of 8/9
and 2/3
Answer:
ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.
Step-by-step explanation:
Mary reads 3 1/2 books in 1 3/4 weeks. At this rate how many books does Mary read in 1 week?
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do it with right asnwers and work
Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work.
(x + 2)6
(x − 4)4
(2x + 3)5
(2x − 3y)4
In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning.
a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5
Submit your completed Task 2 file under 04.06 Segment One Honors Project Task 2.
Answer:
what grade is thistfgydyfyryhehdhufhf
For each sequence, find the first 4 terms and the 10th term.
a) n2+ 3
...
b) 2n2
...
Answer:
a) n2+ 3
So, first term is (1)²+3=4
Second term is (2)²+3=7
Third term is (3)²+3=12
Fouth term is (4)²+4=20
b) 2n2
So, first term is (1)²+2=3
Second term is (2)²+2=6
Third term is (3)²+2=11
Fouth term is (4)²+2=18
Answer:
( a )
First 4 terms are 4,7,12,19 and the 10th term is 103.
( b )
First 4 terms are 2,8,18,32 and the 10th term is 200.
Step-by-step explanation:
We are given both general term of sequence:
\( \displaystyle \large{ (a) \: \: \: {n}^{2} + 3} \\ \displaystyle \large{ (b) \: \: \: 2{n}^{2}}\)
Let's get to the first sequence.
( a )
We are given:-
\( \displaystyle \large{ {n}^{2} + 3} \)
To find first 4 terms, substitute n = 1,2,3,4 in.
Therefore:-
\( \displaystyle \large{ {1}^{2} + 3 = 4} \\ \displaystyle \large{ {2}^{2} + 3 = 4 + 3 = 7} \\ \displaystyle \large{ {3}^{2} + 3 = 9 + 3 = 12} \\ \displaystyle \large{ {4}^{2} + 3 = 16 + 3 = 19} \)
Therefore, first 4 terms are 4,7,12,19.
Next, to find the 10th term, just substitute n = 10.
\( \displaystyle \large{ {10}^{2} + 3 = 100 + 3 = 103} \)
And we're done for part a!
( b )
We are given:-
\( \displaystyle \large{ 2{n}^{2}}\)
Do the same, substitute n = 1,2,3,4 in.
\( \displaystyle \large{ 2({1})^{2} = 2} \\ \displaystyle \large{ 2({2})^{2} = 2(4) = 8} \\ \displaystyle \large{ 2({3})^{2} = 2(9) = 18} \\ \displaystyle \large{ 2({4})^{2} = 2(16) = 32}\)
Therefore, first 4 terms are 2,8,18,32.
Next, find the 10th term, substitute n = 10 in.
\( \displaystyle \large{ 2{(10)}^{2} = 2(100) = 200} \)
Thus, the 10th term is 200.
if a news paper costs 25p how much would 3 weeks . if the the paper is puplished six days each week
The best i could find out is 450p