im not good at this...
im sorry if im wrong but i think it may be B
the true proportion p of people who give a favorable rating to congress is 8% with a margin error of 2.5%. describe the statement using abosolute value notation
The statement can be described using absolute value notation as |p - 0.08| ≤ 0.025.
The statement can be described using absolute value notation as |p - 0.08| ≤ 0.025. In this notation, |p - 0.08| represents the absolute difference between the true proportion p and 0.08 (8%). The inequality symbol (≤) indicates that this absolute difference should be less than or equal to 0.025, which represents the margin error of 2.5%.
By using absolute value notation, we express the range within which the true proportion p is expected to lie. The absolute value function ensures that the difference between p and 0.08 is always positive, disregarding the direction of deviation. The inequality states that the absolute difference must be within the range of ±0.025.
In practical terms, this notation captures the notion that the true proportion of people giving a favorable rating to Congress is likely to be around 8%, with a possible variation of up to 2.5%. It provides a measure of uncertainty or margin of error associated with estimating the true proportion based on sample data.
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A mapping diagram shows a relation, using arrows, between inputs and outputs for the following ordered pairs: (negative 6, 0), (2, 1), (negative 7, negative 4), (11, 2), (3, 2).
What is the domain of the relation?
{x| x = –4 , 0, 1, 2}.
{x| x = –7, –6, 2, 11, 3}.
{y| y = –4, 0, 1, 2}.
{y| y = –7, –6, 2, 11, 3}.
Answer:
B. {x| x = –7, –6, 2, 11, 3}
Step-by-step explanation:
The domain of the relation is {x | x = –5, –3, 1, 2, 6}. Therefore, the correct option is A.
The given ordered pairs are (-6, 0), (2, 1), (-7, -4), (11, 2) and (3, 2).
We need to find what is the domain of the relation.
What is the domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Consider the provided diagram.
Here the left side represents the input (x) values and the right side represents the output (y) values.
The domain refers to the set of possible input values.
Now consider the provided figure, the set of the input values is:
{x | x = –5, –3, 1, 2, 6}.
The domain of the relation is {x | x = –5, –3, 1, 2, 6}. Therefore, the correct option is A.
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Talia took the bus from her home to the bank and then walked back to her home along the same route. The round trip took 0.9 hours total. The bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. Use the table to complete these statements.
The rate of Trip 2 is
km/h.
The time of Trip 1 is
hours.
Answer:
The rate of Trip 2 is 5 km/h.
The time of Trip 1 is 0.9-x hours.
Step-by-step explanation:
right on edg 2020
Susan made a withdrawal of x from her bank account. her old balance was ₱3,500. Her new balance is ₱2,800. How much did she withdraw?
Answer:
700$.
3,500 - x = 2,800
3,500 - 2,800 = 700
What’s -3 divided by 6?...
Answer:
-0.5
Step-by-step explanation:
3/6 is 0.5, so -3/6 would be -0.5.
Answer:
-0.5 or -1/2
Step-by-step explanation:
Write 14 min, 35 sec in seconds
Answer: 875 seconds
Step-by-step explanation:
14*60+35=
840+35=875 seconds
2[(x+2y)-4(6x+3y)+(4x+3y)]
Answer:
-38x - 14y
Step-by-step explanation:
2[x+2y - 24x - 12y + 4x + 3y]
2 [ -19x -7y]
- 38x - 14y
Henry purchased 3 items during a sale. He received a 20 percent discount on the regular price of the most expensive of the 3 items and a 10 percent discount on the regular price of each of the other two items. What was the total amount of the 3 discounts
Answer:
Combining statement 1 and statement 2 is sufficient
Step-by-step explanation:
There are 3 items purchased
Most expensive item=20% discount
The other two items=10% discount each
Statement 1: The average (arithmetic mean) of the regular prices of the 3 items was $30.
Assume:
The 3 items cost: $40, $30 and $20 respectively,
Total discount =20% of $40 + 10% of $30 + 10% of $20
=$8 + $3 + $2
= $13
Assume
The 3 items cost: $50, $30 and $10 respectively,
Total discount = 20% of $50 +10% of $30 + 10% of $10
=$10 + $3 + $1
= $14
Therefore, statement 1 is INSUFFICIENT
Statement 2: The most expensive item was $50
The discount for the most expensive item at $50 = 20% of $50
= 0.2*$50
=$10
But we don't know the price of the other 2 items, so we can't determine the discounts.
Therefore, Statement 2 is also INSUFFICIENT
Combining statement 1 and 2
1) The average (arithmetic mean) of the regular prices of the 3 items was $30.
So, the SUM of the 3 items = $90
2) The most expensive item is $50
So the OTHER 2 items sum up to $40
$50 item gets 20% discount and the other two items ($40) each get 10% discount
The discount = 20% of $50 + 10% of $40
=0.20*50 + 0.1*40
=$10 + $4
=$14
Combining the two statements is sufficient
A brand new smartphone costs $1200. It decreases in value by 13. 3% every year after its purchase. Which function models the value of the phone x years after its purchase?
Question 8 options:
f(x)=1. 133(1200)x
f(x)=1200(1. 133)x
f(x)=1200(0. 867)x
f(x)=0. 867(1200)x
The function that models the value of the phone x years after its purchase is y = 1200(0.867)^x
Exponential equationsThe standard exponential equation is given as:
y = ab^x
From the given question
a = 1200
b = 1 - 0.133
x is the time
Substitute to have:
y = 1200(1-0.133)^x
y = 1200(0.867)^x
Hence the function that models the value of the phone x years after its purchase is y = 1200(0.867)^x
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PLease help ................................................................
Answer:
if it is an a or b B is the best answer but if it a true of false. the answer is true
Step-by-step explanation:
Question 2 of 6 View Policies Current Attempt in Progress Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.
Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)
Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14
Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.
Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w
Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
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Can 2.5 cm 6.5 cm 6 cm be the sides of a right triangle?
2.5 cm, 6.5 cm, and 6 cm are the sides of a right triangle.
The sides of a triangle are 2.5 cm, 6.5 cm, and 6 cm in length.
The Pythagorean Theorem states that The sum of the squares representing the base and height equals the square of the hypotenuse.
\((Perpendicular)^{2}+(Base)^{2}=(Hypotenuse)^{2}\)
\((2.5)^{2}+(6)^{2}=(6.5)^{2}\)
6.25 + 36 = 42.25
42.25 = 42.25
The sides offered satisfy the specifications for a right triangle.
Given that it satisfies the Pythagorean theorem, a right triangle with sides of 2.5 cm, 6.5 cm, and 6 cm can be built.
Hence, 2.5 cm 6.5 cm 6 cm can be the sides of a right triangle.
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The following data represent
the number of pop-up
advertisements received by
10 families during the past
month. Calculate the mean
number of
advertisements received by
each family during the month.
59 ,8 ,3 ,4 ,7 ,5 ,9 ,11 ,12
Answer:
13.11 (rounded to the nearest hundredth)
Step-by-step explanation:
Mean: total / # of values = (59 + 8 + 3 + 4 + 7 + 5 + 9 + 11 + 12) / 9 = 13.11 (rounded to the nearest hundredth)
Eleven more than seven times a number is five less than
three times the number. Write the equation and find the
number.
Answer:
x=16
Step-by-step explanation:
Let the no : be x
Acc to Ques :
7x−11=5+6x
⇒7x−6x=5+11
x=16
Which graphs represent functions?
A.Graph C and Graph D
B.Graph B and Graph D
C.Graph A only
D.Graph D only
Explanation:
We'll use the vertical line test. This is where we try to draw a vertical line through more than one point on the graph. If such a task can be done, then the relation is said to fail the vertical line test. Furthermore, it means the relation is not a function.
Graph A is an example of this. We can draw a vertical line through 2 and have that vertical line cross the blue curve at more than one point. The input x = 2 leads to multiple outputs. Graph C is a similar story, but it only happens when x = 1.
Graphs B and D both pass the vertical line test. It's impossible to draw a single vertical line to cross through more than one point shown on their respective graphs. Any x input in the domain leads to exactly one y output, which in turn means we have functions here.
A square rug has an area 86ft squared Write the side length as a square root. Then decide if the side length is a rational number.
Answer:
9.277
Step-by-step explanation:
It is an irrational number.
Explanation
Since area is length squared, length of a side of a rug is simply the square root of 86.
The square root of 86 is a rational number if 86 is a perfect square. It is an irrational number if it is not a perfect square. Since 86 is not a perfect square, it is an irrational number.
Hope this answer will help!
On Monday, a dental hygienist cleans teeth of 5 patients by the time she takes her lunch break at noon. On average, she is able to clean the teeth of 9 patients in 4 hours
Write a function to represent the number of patients she sees, y, and the number of hours, 2. the hygienist works after lunch on Monday.
Enter your answer in the box
PLEASE HELP!
The function that represents the number of patients she sees is; y = 9/4x + 5 and number of patients after 2 hours is 9 patients
How to write Functions?We are given;
Number of patients the dental hygeinist cleans before lunch = 5
Average number that she cleans after lunch = 9 patients in 4 hours
Thus, number of patients per hour is 9/4
The formula for slope intercept form is;
y = mx + c
Thus, equation to represent the situation in the question is;
y = 9/4x + 5
At 2 hours after lunch, number of patients is;
y = 9/4(2) + 5
y = 9.5
Approximately 9 patients
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Find the exact values of x and y.
The values of x and y are given as follows:
x = y = 5.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.The diagonal length of the rectangle is the hypotenuse of a right triangle of sides 6 and 8, hence:
d² = 6² + 8²
d² = 100
d = 10.
The segments x and y are each half the length of the diagonal, and the two diagonals have the same length for a rectangle, hence:
x = y = 5.
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30. In the figure below, rectangle ABCD shares CD with ACDE,
diagonal BD of the rectangle extends in a straight line
beyond D to E to create DE, and the measure of CDE is
155°.
What is the measure of ZCBD?
F. 25
G.55
H.65
J.90
K.155
The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.
To find the measure of angle ZCBD, we need to examine the given information.
From the figure, we know that angle CDE is 155°.
Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.
In a rectangle, the sum of the interior angles at a vertex is always 90°.
Therefore, angle CBD is 90°.
Hence, the measure of angle ZCBD is 90°.
Therefore, the correct option is J. 90.
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simplify
(-2n-7n^(4)+7n^(3))(-2n^(4)-6n^(3)+6n)
dont answer if u dont know what you are doing
Answer:
pipipupu?
Step-by-step explanation:
make a small dog pipipupu if he can then its allright
Lucy has a coin collection of quarters from different states. The value of her coin collection is $9.50. How many quarters does she have in her collection?
And how
Susan bought a hat and given sales person at store $50 she got $13.70 back and change how much does Susan pay for the hat explain how you got your answer
$36.30
She paid $50 and got back $13.70.
You subtract the amount she got back from the amount she gave the sales person.
$50 - $13.70 = $36.30
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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What is the equation of the line that passes through the point (5,-1) and has a slope of a fraction 1/5
Answer:
Equation will be y = 5x + c
Step-by-step explanation:
For point (5, 1)
1 = 5(5) + c
Or, c = - 24
So, y = 5x - 24
Divide £21 in the ratio 1:2
write an expression that represents the phrase "one third the difference of 15 and a number"
Answer: 1/3-5(n)
Step-by-step explanation:
Which function models the relationship
between the concentration of the
medication in milligrams, p(t), and the
number of hours since the medication
was taken, t?
Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.
\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs
P(t) = 25.5( 1-16.2%)ˣ
= 25.5((100 - 16.2)/100)ˣ
= 25.5(83.8/100)ˣ
P(t) = 25.5(0.838)ˣ
Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
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Complete question:
9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.
Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?
The sum of complementary angles is ____ degrees.
1. 90
2. 180
3. 360
4. 270
A pound of tin is worth $2 more than a pound of copper. Four pounds of tin are mixed with 6 pounds of copper to make bronze that sells for $4.55 per pound. How much is a pound of tin worth? PLEASE ANSWER
Answer:
$5.75
Step-by-step explanation:
Tin- t, Copper- c
t= c+2 and 4t+6c= 10*4.55
---------------
4t+6c= 10*4.55 ⇒ 4(c+2)+6c= 45.5 ⇒ 10c+8= 45.5 ⇒ 10c= 37.5 ⇒ c= $3.75so
t= c+2= 3.75+2= $5.75Identify the center and radius given the equation of the circle below.
x^2=-2y-y^2-24x-120