1000 randomly selected Americans were asked if they believed the minimum wage should be raised. 600 said “yes.” What is the 99% confidence interval for the proportion of Americans who believe that the minimum wage should be raised?
The 99% confidence interval for the proportion of Americans who believe that the minimum wage should be raised is: 0.56 < P < 0.64
How to find the confidence interval?We are given:
Sample size: n = 1000
Sample proportion: p = 600/1000 = 0.6
Formula for confidence interval for proportion is:
CI = p ± z√(p(1 - p)/n)
where:
p is sample proportion
n is sample size
z is z-score at confidence level
z at 99% CL = 2.576
Thus:
CI = 0.6 ± 2.576√(0.6(1 - 0.6)/1000)
CI = 0.6 ± 0.04
CI = (0.56, 0.64)
CI = 0.56 < P < 0.64
Read more about Confidence Interval at: https://brainly.com/question/17097944
#SPJ1
5(2x+2)-12x simplify
The simplified expression is 120x³ + 120x².
To simplify the expression 5x(2x+2)12x, we can use the distributive property of multiplication over addition and simplify the resulting terms.
First, we distribute 5x to the expression (2x+2), which gives us:
5x(2x+2) = 10x² + 10x
Next, we can multiply the result by 12x:
12x(10x² + 10x) = 120x³ + 120x²
Therefore, the simplified expression is 120x³ + 120x².
We can see that the original expression was a multiplication of three factors, and we used the distributive property to simplify it by expanding and multiplying the resulting terms. The final expression has a common factor of 120x², which we can factor out to get 120x²(x+1).
To know more about an expression follow
https://brainly.com/question/29099058
#SPJ1
An engineer traveled 140 mi by car and then an additional 750 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 6 h. Find the rate of the car.
The rate of car is 35 mph.
Given that engineer traveled 140 mi by car and then an additional 750 mi by plane. The rate of the plane was three times the rate of the car.
Let c be the rate of wind.
215 + c = rate of plane with wind
215 - c = rate of plane against wind
Therefore, the travel time =distance/rate
⇒ 750/(215+c) = 540/(215-c)
Cross multiplying we get,
540(215+c) = 750(215-c)
116100+540c = 161250-750c
1290c = 45150
c=35
Hence, the rate of car is 35 mph.
To know more about the similar questions on 'rate of wind'
visit- brainly.com/question/13606178
#SPJ1
Each day, Charmaine earns a fixed wage plus extra money for every hour of overtime she works. The graph shows her total pay (in dollars) versus the amount of overtime (in hours) that she works.
The total at 0 id 100 hours and rate if increasing is 50 per hour.
From the given graph;
Let x represents the total hours
And y represents total pay
Then,
(a) When x = 0
Then from graph we have y = 100
So total pay is 100 dollars.
(b) When x = 1 then y = 150
Therefore,
Rate of increasing = (150-100)/(1-0) = 50
So it is increasing 50 per hour.
To learn more about rate of change of any quantity visit:
https://brainly.com/question/28388759
#SPJ1
6. Solve for y ONLY *
Find the value of each variable.
The value of the angle y is 86 degrees
How to determine the valueTo determine the value of the variable, we need to take note of the properties of a parallelogram. They include;
Opposite sides of the shape are parallel and equal.The angles opposite to each other are equal.The consecutive angles are supplementary, that is sum to 180 degrees.Also, note that angles on a straight line is equal to 180 degrees.
From the information shown on the diagram, we have;
y + 94 = 180
collect the like terms
y = 180 - 94
Subtract the terms
y =86 degrees
Learn about parallelograms at: https://brainly.com/question/10744696
#SPJ1
find the 81st term of the arithmetic sequence -2 -8 -14
Answer:
a₈₁ = - 482
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 2 and d = a₂ - a₁ = - 8 - (- 2) = - 8 + 2 = - 6 , then
a₈₁ = - 2 + (80 × - 6) = - 2 + (- 480) = - 2 - 480 = - 482
A music store marks up the instruments it sells by 30%.
If the price tag on a trumpet says $104, how much did the store pay for it?
Warm-Up Understanding Binomial Settings Ms. Lee gave out the homework passes as described previously, and it turns out that zero statistics students were selected. She plans to give out another homework pass tomorrow, but this time she will keep drawing names, still replacing and shuffling between each trial, until she gets a statistics student.
Is this a binomial setting?
O Yes, the conditions for a binomial setting are all met in this case.
O No, this time there is not a fixed number of trials,
O No, this time the trials are not independent.
O No, this time the outcomes are not binary.
The answer is : No, this time there is not a fixed number of trials,
How to get the solution of the binomial settingFixed Number of Trials (n): Established beforehand, the experiment consists of a specified set of trials or repetitions.
Binary Outcomes: Every trial possess just two feasible outcomes typically referred to as "success" and "failure."
Independent Trials: The result of a single trial will not affect the outcome of any subsequent trials.
Constant Success Probability (p): Per trial, the chances of success remain unchanging.
Taking into account the given circumstances, Ms. Lee intends on giving out another homework pass consequently, she will keep pulling names until concluding with a statistics student. She rearranges and shuffles the papers which contain the names in-between each trial.
Read more on binomial setting here:https://brainly.com/question/3611211
#SPJ1
Fill in the missing terms to complete the factorization. 15x^2 + x - 2 = (? -1) (? + 2)
a- 3x, 5x
b- x, 15x
c- 5x, 3x
d- 15x, x
The missing term of the factorization equation is A = ( -15x - 1 ) ( x + 2 )
Given data ,
Let the equation be represented as A
Now , the value of A is
A = -15x² - 31x - 2
On simplifying , we get
The expanded form of the expression ( -15x - 1 ) ( x + 2 ) can be calculated using the distributive property of multiplication over addition
So , on factorizing , we get
A = ( -15x - 1 ) ( x + 2 )
Hence , the factorized equation is A = ( -15x - 1 ) ( x + 2 )
To learn more about factorizing click :
https://brainly.com/question/804076
#SPJ1
The complete question is attached below :
Fill in the missing terms to complete the factorization. 15x² + x - 2 = (? -1) (? + 2)
a- 3x, 5x
b- x, 15x
c- 5x, 3x
d- 15x, x
Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19? A. |5 + 3x| = 17 B. 5 + 3x = -17 C. 5 − 3x = -17 D. |5 − 3x| = -17
Answer:B
Step-by-step explanation:i did the quiz
how do you find the area of a trapizoid
Answer:
By using the formula down below you can find the area of a trapezoid
A = [tex]\frac{a+b}{2}[/tex]h
↑ Area
A = Base
B = Base
H = Height
Example.
A = 12
B = 4
H = 2
First “ A “ + “ B “ =
12 + 4 = 16
16 / 2 = 8
8 x “ h “
8 x 2 = 16
Answer is 16
Thus the answer is, above
So if you look that up then it will show you how to find the area of a trapizoid
Luc is playing a trivia game with multiple choice questions. He runs out of time and needs to guess on the last 2 22 questions. Each question has 4 4
The requried probability that Luc gets both questions correct is 1/16 or approximately 0.0625.
The probability of guessing a single question correctly is 1/4, since there are 4 answer choices and only 1 is correct. Since the questions are independent, the probability of guessing both questions correctly is the product of the probability of guessing each question correctly.
Therefore, the probability that Luc gets both questions correct is:
P(both correct) = P(first correct) * P(second correct)
P(both correct) = (1/4) * (1/4)
P(both correct) = 1/16
Thus, the probability that Luc gets both questions correct is 1/16 or approximately 0.0625.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ1
The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344.12 were written. The store manager then deposited $956.60. Find the checkbook balance
The checkbook balance is $5703.25.
To find the checkbook balance, we need to start with the original balance and then subtract the amounts of the checks written and add the amount of the deposit.
Original balance: $7349.44
Checks written: $1349.67 + $344.12 = $1693.79
Deposit: $956.60
To find the checkbook balance, we can subtract the total amount of the checks written from the original balance and then add the deposit:
Checkbook balance = Original balance - Checks written + Deposit
Checkbook balance = $7349.44 - $1693.79 + $956.60
Checkbook balance = $5703.25
Therefore, the checkbook balance after store manager deposited $956.60 is $5703.25.
To learn more about balance here:
https://brainly.com/question/29085827
#SPJ1
Dylan is putting a gold ribbon around the lid of a rectangular box. The lid ha a width of 6(1/4) inches and a length of 4(5/8) inches. The ribbon costs $1.50 per Inch. How much will it cost Dylan to p gold ribbon around the perimeter of the lid? $13.88 $21.75 $32.63 $43.36
The value of cost of the perimeter of the lid is, $32.625
Given that;
Dylan is putting a gold ribbon around the lid of a rectangular box. The lid ha a width of 6(1/4) inches and a length of 4(5/8) inches.
Hence, The value of perimeter of the lid is,
⇒ P = 2 (6 1/4 + 4 5/8)
⇒ P = 2 (25/4 + 37/8)
⇒ P = 2 (50/8 + 37/8)
⇒ P = 2 (87/8)
⇒ P = 87/4 inches
Since, The ribbon costs $1.50 per Inch.
Hence, Total cost for lid is,
⇒ 1.50 × 87/4
⇒ $32.625
Thus, The value of cost of the perimeter of the lid is, $32.625
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
Christian owns a small business selling bagels. He knows that in the last week 10 customers paid cash, 14 customers used a debit card, and 38 customers used a credit card.
In total, Christian had 62 customers in the last week.
Phillip wants to find the width, QP, of his driveway. He walks along the edge of the driveway 45 ft and
marks point R. Then he walks 13 ft further and marks point N. He turns 90° and walks until his location,
point R, and point P are collinear. He marks point M at this location, as shown.
(a) Can Phillip conclude that ΔPQR and ΔMNR are similar? Why or why not?
(b) Suppose MN = 15 ft. Calculate the width of the driveway, QP. Show all your work and round
answer to nearest tenth.
ΔPQR and ΔMNR are similar and if MN = 15 ft then the side length of QP is 52.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
ΔPQR and ΔMNR are similar are similar because both have the corresponding angles are congruent and the corresponding sides are in proportion .
If MN=15 feet we have to find QP
As sides are proportional
45/13=QP/15
Apply cross multiplication
45×15=13QP
675=13QP
Divide both sides by 13
QP=52
To learn more on similar triangles click:
https://brainly.com/question/25882965
#SPJ1
550.320 to the nearest whole number
Answer: 550.320 to the nearest whole number is 550.
Step-by-step explanation: If the number if five or more, it rounds up, but if it is four or less, it stays the same. Therefore, because 3 is less than four, the answer is 550. Hope this helps! :)
Answer:
550
Step-by-step explanation:
If we look at the number we see .320, as we can see the number in the front is 3 and behind that is 2, when we are rounding the key thing to always remember is if its greater than 5 we round up if not go down so sense 3 doesn't go over 5 we don't change the number in front of it 0 and the same thing with 2 but we wouldn't change the 3 instead. so sense .320 doesn't qualify as a whole number we do not need it so we get the answer,
550.
PPPLLSSS GIVE BRAINLIST MEAN THE WORLD TY
HAVE A NICE DAY :)
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is under 40,
given that he or she gets the news by reading the paper? If necessary, round
Don't read
Read paper
Total
paper
36
your answer to the nearest percent.
Under 40
40 or older
Total
4
24
28
16
52
40
40
80
Answer:
To find the probability that a person surveyed is under 40 given that he or she gets the news by reading the paper, we need to use Bayes' theorem:
P(Under 40 | Read paper) = P(Read paper | Under 40) * P(Under 40) / P(Read paper)
where
P(Under 40 | Read paper) is the probability that a person is under 40 given that he or she gets the news by reading the paper
P(Read paper | Under 40) is the probability that a person under 40 reads the paper (36/80)
P(Under 40) is the overall probability of selecting a person under 40 (40/80)
P(Read paper) is the overall probability of selecting a person who reads the paper, calculated as the sum of those who are under 40 and read the paper and those who are 40 or older and read the paper (36+24)/(80)
Plugging in the values, we get:
P(Under 40 | Read paper) = (36/80) * (40/80) / ((36+24)/80)
P(Under 40 | Read paper) = 0.6
So the probability that a person surveyed is under 40, given that he or she gets the news by reading the paper, is 60%.
The entire graph of the function g is shown in the figure below. Write the domain and range of g using interval notation.
Answer:g=g(9)
Step-by-step explanation:
What is the approximate value of the upper quartile
A 18
B 20
C 25
D 27
The approximate value of the median is 25
The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.
The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.
To find the median, calculate the value mean by adding together the middle values and dividing them by two.
Hence, the approximate value of the median is Median
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
What is the approximate value of the median?
A 18
B 20
C 25
D 27
The equations for two savings accounts for the same Initial amount of $1125 and an interest rate of 1.875% accrued differently are shown in the table. Savings Account A A = 21.09t + 1125 Savings Account B JAN 1 A = 1125 1+ (1. 0.01875 2 2t Complete the statement. After 9 years, savings account [DROP DOWN 1] will have more money because it is modeled by [DROP DOWN 2] where the investment [DROP DOWN 3].
Savings Account B will have more money after 9 years because it is modeled by the exponential equation, and the investment grows exponentially with time
We have,
To determine which savings account has more money after 9 years, we can evaluate the amount of money in each account using the given equations.
For Savings Account A, the equation is:
A = 21.09t + 1125
Substituting t = 9 (since we're interested in the amount after 9 years), we get:
A = 21.09(9) + 1125 = 1300.81
So, after 9 years, Savings Account A will have $1300.81.
For Savings Account B, the equation is:
A = 1125(1 + 0.01875/2)^(2t)
Substituting t = 9, we get:
A = 1125(1 + 0.01875/2)^(2(9)) = 1318.98
So, after 9 years, Savings Account B will have $1318.98.
Therefore,
Savings Account B will have more money after 9 years because it is modeled by the exponential equation, and the investment grows exponentially with time
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
pls help! show work!
The student is correct because we can factorize x² - x - 56 to get (x - 8)(x + 7).
How to Factorize an Expression?
In order to determine if -56 is the integer that can replace the box in the expression, we can try to factorize the expression and see if it works.
Factorize x² - x - 56 using the sum-product pattern:
x² - x - 56
Take out the common factors from each pair:
(x² + 7x) - (8x - 56)
x(x + 7) -8(x + 7)
Rewrite in factored form:
(x - 8)(x + 7)
Thus, this shows that the student is correct.
Learn more about the factorization on:
https://brainly.com/question/22048677
#SPJ1
If lina takes an assignment at 4:30 and it takes her 12 minutes to complete it at what time did she finished?
Answer: 4:42
Step-by-step explanation:
4:30 + 0:12 = 4:42
-24=8(y-8)-4y??????????????
Answer:
[tex]\sf y=10[/tex]Step-by-step explanation:
[tex]\sf -24=8(y-8)-4y[/tex]
[tex]\sf 8\left(y-8\right)-4y=-24[/tex]
Expand:-
[tex]\sf 8\left(y-8\right)-4y[/tex][tex]\sf 8y-64-4y[/tex][tex]\sf 4y-64[/tex][tex]\sf 4y-64=-24[/tex]
Add 64 to both sides:-
[tex]\sf 4y-64+64=-24+64[/tex][tex]\sf 4y=40[/tex]Divide both sides by 4:-
[tex]\sf \cfrac{4y}{4}=\cfrac{40}{4}[/tex][tex]\sf y=10[/tex]________________________
the diagram shows a right angled triangle, find value of h
The value of the side length h is 19.1 cm.
What is the value of side h?The figure in the image is a right triangle:
Angle θ = 47 degrees
Opposite to angle θ = 14cm
Hypotenuse = h
To solve for side length h, we use trigonometric ratio.
Note that: sine = opposite / hypotenuse
Plug in the values and solve for h.
sin( 47° ) = 14 / h
h = 14 / sin( 47° )
h = 19.1 cm
Therefore, the value of h is 19.1 cm.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
How much running area is there?
R = 20 ft
I WILL MARK YOU BRAINLIEST AND GIVE 30 POINTS
With a radius of 20 feet and 10 rounds traversed, the total distance equates to approximately 1256.6 feet.
How to solveWhen calculating the circumference (C) of a circle, the formula 2 * π * radius (R) is employed.
Taking into consideration R = 20 feet, we shall arrive at the following figure:
C = 2 * π * 20
C ≈ 2 * 3.14159265359 * 20
C ≈ 125.66 feet
If we use this calculation to determine the total distance covered after running 10 laps around a track, our equation morphs into Circumference (C) multiplied by the Number of laps (L).
When L equals 10, it follows that:
Total distance ≈ 125.66 feet * 10
Total distance ≈ 1256.6 feet
Therefore, with a radius of 20 feet and 10 rounds traversed, the total distance equates to approximately 1256.6 feet.
Read more about distance here:
https://brainly.com/question/2854969
#SPJ1
What is the total distance covered after running 10 laps around a circular track with a radius of 20 feet?
Simplify the expression: 4√12
Answer:
Step-by-step explanation:
It is
4
√
12
=
4
√
3
⋅
4
=
4
⋅
2
⋅
√
3
=
8
√
3
12. What is the value of the following expression when
a = -2 and b = -4?
5(4a3b)+ ab
A-108
B -92
C -12
D12
E 28
Answer:
1st one is b. 2nd one is A
Step-by-step explanation:
i did the quiz
if 5 is subtracted from the square of a number find the positive solution
If 5 is subtracted from the square of a number, the positive solution is √5.
How to determine the unknown number?In this exercise, you are required to determine or solve for an unknown number as follows. First of all, we would assign a variable to the unknown number and then translate the word problem into an algebraic expression as follows;
Assuming the unknown number is represented by the variable x.
Therefore, the required algebraic expression is given by;
x² - 5
In order to determine the positive solution, we would have to equate the algebraic expression to zero as follows;
x² - 5 = 0
x² = 5
x = ±√5
x = √5 (positive solution)
Read more on expression here: brainly.com/question/16729936
#SPJ1
Find the volume of a rectangular prism with a length of 5cm and a height of 20cm, round to the nearest tenth of a cubic centimeter