To calculate the sample proportion of "first quality" widgets, we divide the number of "first quality" widgets by the total sample size. In this case, out of a random sample of 64 widgets, 48 are classified as "first quality." Therefore, the sample proportion of "first quality" widgets can be calculated as:
Sample Proportion = Number of "First Quality" Widgets / Total Sample Size Sample Proportion = 48 / 64 Sample Proportion = 0.75 So, the sample proportion of "first quality" widgets is 0.75. To calculate the standard error of the proportion, we use the formula: Standard Error = √((Population Proportion * (1 - Population Proportion)) / Sample Size) In this case, the population proportion is given as 0.70 and the sample size is 64. Plugging in these values, the standard error of the proportion can be calculated as: Standard Error = √((0.70 * (1 - 0.70)) / 64) Standard Error ≈ 0.0427 Therefore, the standard error of the proportion is approximately 0.0427.
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For each situation define an independent and dependent variable then find the rate of change. Determine if the slope is increasing, decreasing, or flat.
The total cost, including shipping, for ordering 5 uniforms is $66. The total cost, including shipping, for ordering nine uniforms is $114.
Independent:
Dependent:
rate of change:
The slope is:
Answer:
See below
Step-by-step explanation:
Given
5 uniforms = $669 uniforms = $114Rate of change is, considering two points of (5, 66) and (9, 114):
(114 - 66)/(9-5) = 48/4 = 12Expressing the relationship as function
y = 12x + b66 = 5*12 + bb = 6y = 12x + 6Independent variable = number of uniforms
Dependent variable = total cost
Rate of change = 12
Slope = Rate of change = 12
Translate the sentence into an equation
Twenty four plus two
times a number is 40.
How do you put that in equation for?
Answer:
24 + 2n = 40
Step-by-step explanation:
let the number be n , then two times the number is 2n
This is then added to 24 and equal to 40
24 + 2n = 40 ← in equation form
X
The table below shows the number of gallons of water in a fish tank after the tank has been leaking
water at a steady rate.
Water Leaked
Minutes Leaking
Gallons of Water
Remaining in Tank
у
0
75
3
67.5
7
57.5
15
37.5
21
22.5
26
10
2
When these data are graphed on a coordinate grid, the points all lie on the same line. What are the
slope and y-intercept of this line?
slope = 3, y-intercept = 30
slope - y-intercept = 30
o slope = - , y-intercept = 75
o slope = .y-intercept = 75
Name the intersection of plane P and line m.
F. Line n
G. Point A
H. AC
J. Segment AE
Answer:
the answer is segment AE
12:35 on Sunday.
I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
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Answer:
See attached
Step-by-step explanation:
Triangle CDE translated 3 units up and reflected over line l into triangle C'D'E'
const erit to miguel be dibiv art sis IW You deposit $3,000 in a
savings account at 6% interest. If the interest is compounded:
001 = dipnel .02 = thbiW ISVenA Yearly: Answer: $5,372.54
After one year of compounding at a 6% interest rate, you would have approximately $3,180 in your savings account.
To calculate the amount of money you will have in the savings account after one year with compound interest, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years
Let's solve it step by step:
Given:
P = $3,000 (principal amount)
r = 6% = 0.06 (annual interest rate as a decimal)
n = 1 (compounded annually)
t = 1 (one year)
Using the formula:
A = 3000 * (1 + 0.06/1)^(1*1)
A = 3000 * (1 + 0.06)^1
A = 3000 * (1.06)^1
A ≈ $3180
So, after one year of compounding at a 6% interest rate, you would have approximately $3,180 in your savings account.
It seems there was a discrepancy in the answer provided. Based on the given information, the correct calculation yields $3,180, not $5,372.54.
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If n represents a number, then write an expression for a number that is twice n
Help please its for algebra class please help thank you a lot like thanks u guys save my day
It’s pre algebra class
Answer:
y=n(2)
Step-by-step explanation:
6.5 3. Consider the following tableau for a particular Linear Program (LP) being solved using the M-Method: Basic 1 x2 81 €2 a2 az Solution 2 0 3-M 0 M-3 3-4M 0 60+ 10M 81 0 5/4 1 1/4 0 7 -4 0 x1 1
The given tableau represents a Linear Program (LP) being solved using the M-Method. The tableau includes variables, coefficients, and constraints. The objective is to optimize the objective function while satisfying the given constraints. The current solution in the tableau indicates the values of the variables and the corresponding objective function value.
The given tableau consists of variables x1 and x2, along with their coefficients in the objective function and constraints. The objective function coefficients are represented as 2 and 3 for x1 and x2, respectively.
The constraints are presented in the form of equations, where a1 and a2 are the coefficients of x1 and x2 in the respective constraints.
The tableau also includes a solution row, which represents the current solution of the LP.
In this case, the current solution is x1 = 2, x2 = 0, and the objective function value is 81.
The values in the solution row are obtained by performing calculations using the given tableau.
The variables x1 and x2 are marked as basic variables, indicating that they have non-zero values in the current solution.
The other variables, indicated by M in the tableau, are non-basic variables and have zero values in the current solution.
The coefficients in the tableau are updated using the M-Method, which involves adding a large positive constant (M) to the objective function coefficients of the non-basic variables. This is done to make the objective function more unfavorable and encourage the algorithm to find an optimal solution.
Further steps can be taken to continue solving the LP using the M-Method, such as performing pivot operations to improve the solution and reach the optimal objective function value.
In summary, the given tableau represents a Linear Program being solved using the M-Method, and the current solution indicates the values of the variables and the objective function value at that stage of the solution process.
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TIME REMAININ
57:14
1
2
3
4
5
What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?
EEEE
O y=-3x-5
O y=-3x+5
O y = 3x-5
O y=3x+5
Answer:
-3×+5
Step-by-step explanation:
y=mx+b
m= y2-y1÷x2-x1
= -10+1÷5-2
= -9÷3
= -3
now,
y= -3×+b
-10 = -3(5)+b
-10 = -15+b
-10+15 = b
b= 5
therefore, y= -3×+5
The equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form is y= -3x+ 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have the points as (5, -10) and (2, -1).
So, the slope of line
slope = (-1 + 10) / (2 -5)
slope = 9/ (-3)
Slope= -3
Now, using the slope intercept form
y= mx+ b
y= -3x + b
and, the line passes through (2, -1)
-1 = -3(2) + b
-1 + 6 = b
b= 5
Then, the equation of line is
y= -3x + 5
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If a bus traveled 210 miles in 3 hours, what was the average speed of the bus in miles per hour?
Answer:
70 miles per hour.
Step-by-step explanation:
MPH = Miles/(Hours + (Minutes/60))
24
Find the value of x.
4
(7x-1)
(6x - 1)
Answer:
x = 14
Step-by-step explanation:
Two lines given in the picture intersect each other at a point.
Given angles are the linear pair of angles.
Since, linear pair of the angles is supplementary,
(7x - 1)° + (6x - 1)° = 180°
(7x + 6x) + (- 1 - 1) = 180
13x -2 = 180
13x = 180 + 2
x = [tex]\frac{182}{13}[/tex]
x = 14
Therefore, x = 14 will be the answer.
Evaluate. 2/3 - 1/6
Please show an explanation.
Answer:
1/2
Step-by-step explanation:
2/3 - 1/6
Get a common denominator of 6
2/3 *2/2 - 1/6
4/6 - 1/6
3/6
Simplify
1/2
Answer:
5/6
Step-by-step explanation:
2/3 - 1/6
Find common denominators.
4/6 - 1/6
Subtract.
5/6
Best of Luck!
The Empire State Building is 1250 feet tall. If an object is thrown upward from the top of the building at an initial velocity of 38 feet per second, its height s seconds after it is thrown is given by the function h(s)=16s^2+38s+1250.
. How long will it take for the ball to hit the ground?
s = (-38 ± √(-6556)) / 32
Since the term inside the square root is negative, the equation has no real solutions. This means that the ball will not hit the ground.
To determine how long it will take for the ball to hit the ground, we need to find the value of s when the height h(s) equals zero. In other words, we need to solve the equation:
16s^2 + 38s + 1250 = 0
We can use the quadratic formula to solve this equation. The quadratic formula states that for an equation in the form of ax^2 + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = 16, b = 38, and c = 1250. Plugging these values into the quadratic formula, we have:
s = (-38 ± √(38^2 - 4(16)(1250))) / (2(16))
Simplifying further, we get:
s = (-38 ± √(1444 - 8000)) / 32
s = (-38 ± √(-6556)) / 32
Since the term inside the square root is negative, the equation has no real solutions. This means that the ball will not hit the ground.
This result does not reflect reality. In reality, the ball would eventually hit the ground due to factors such as air resistance. The given equation does not take these factors into account.
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Question 2 of 9
12 + (17 + 1) = (12 +17) + 1
A. True
B. False
SUBMIT
Answer:
TrueStep-by-step explanation:
this addition uses the associative property
[tex]a + (b + c) = (a + b) + c[/tex]
[tex]12 + (17 + 1) = (12 + 17) + 1[/tex]
[tex]12 + 18 = 29 + 1[/tex]
[tex]30 = 30[/tex]
[tex] \red { \green {\boxed {\boxed{\star True \star}}}}[/tex]
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The local newspaper has letters to the editor from 40 people. If this number represents 8% of all of the newspapers readers, how many readers does the newspapers have?
Answer:
500 people
Step-by-step explanation:
40 = 8%
? = 100%
8 percent of 500 is 40.
Help Very Much Needed !Solve For X In The Diagram
Answer:
x = 10
Step-by-step explanation
The exterior angle = the sum of the 2 interior angles (which is the other way to solve the other problem you just posted.)
-10 + 14x = 60 + 7x Add 10 to both sides
-10+10+14x =60+10+7x Combine
14x = 70 + 7x Subtract 7x from both sides
14x-7x = 70+7x-7x Combine
7x = 70 Divide by 7
7x/7 = 70/7
x = 10
The root x=1 has multiplicity 2 for the function f(x)=x^3-x^2-x+1
True or False?
Answer:
yes because if you factor you get (x-1)^2(x+1), and then if you solve that for the roots you get 1, 1, and -1
Answer: Is true
Step-by-step explanation:
4 times a number is 32 less than the square of that number. Find the negative solution.
The answer is -16
Step by step explanation:
the expression of this equation is √4x=-32, so first, we would find the square root of 4, which is 2. so now we have 2x=-32. Next we want to divide 2 from both sides, which gives us our final result: x=-16. So our answer is -16.
what is the range of the function f in f(x) = 3x^2 + 18x
Answer:
Range of the function f(x) = 3x² +18x is [-27,∞).What is the range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.Here, we have f(x) = 3x² +18x.Let f(x) = y⇒ y = 3x² +18x⇒ y = 3(x²+6x)⇒ y/3 = x²+6x⇒ y/3 = x²+ 6x + 9 - 9⇒ y/3 = (x+3)² - 9⇒ y/3 + 9 = (x+3)² ⇒ (y+27)/3 = (x+3)² Taking square root on both sides, we get⇒ = x+ 3⇒ = xNow since f(x) = y ⇒ x = f⁻¹(y)⇒ f⁻¹(y) = ⇒ range = [-27,∞).Therefore, range of the function f(x) = 3x² +18x was found to be [-27,∞).
Step-by-step explanation:
in which direction will the net reaction proceed for the initial conditions [x]=[y]=[z]=1.0 m?
There is no net reaction occurring, as the reaction has already reached equilibrium. The given initial conditions [x]=[y]=[z]=1.0 m give us the following concentration: [X]=1.0 M, [Y]=1.0 M, and [Z]=1.0 M.
At equilibrium, the concentrations of the products and reactants are constant. It is represented by the equilibrium constant (K) value of the reaction equation. The equilibrium constant (K) for a reaction tells us whether a reaction will go forward or reverse under a given set of conditions.
If the equilibrium constant value is greater than 1, it means that the products are favored. And, if the equilibrium constant value is less than 1, it means that the reactants are favored.
Lastly, if the equilibrium constant value is equal to 1, it means that the reaction is at equilibrium.
Now let's find the equilibrium constant (K) for the given reaction equation: 2X + Y --> 3ZK
= [Z]³/([X]²[Y])
where, [X] = 1.0 M, [Y] = 1.0 M, and [Z]
= 1.0 MK
= (1.0 M)³/([1.0 M]²[1.0 M])K
= 1.0 M
The value of K is 1.0 M, which means the reaction is at equilibrium.
Therefore, there is no net reaction occurring, as the reaction has already reached equilibrium.
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what is 97.89 × 10,000
Answer:
Step-by-step explanation:
the answer is 9.789 x 10^5
Simplify 15-12\4 - -21+9/8
Answer:
= -1031/8
Step-by-step explanation:
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The mixed number 1 1/2
is between which two numbers?
1/2 and 1
1 and 2
2 and 3
3 and 4
Answer:
1 and 2
Step-by-step explanation:
Answer:
1 and 2
Step-by-step explanation:
Because 1.5 (1 1/2) is in between 1 and 2
How do I find the length of the missing side for this right triangle?
Answer:
[tex]c = 5[/tex]
Step-by-step explanation:
You use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex].
Since we have the value of [tex]a = 3[/tex] and [tex]b = 4[/tex]..
Then we know that:
[tex]a^2 + b^2 = 3^2 + 4^2 = 9 + 16 = 25 = c^2[/tex]
Since we know that [tex]c^2[/tex] is now, we take square root of that to get value of [tex]c[/tex].
[tex]\sqrt{c^2}=\sqrt{25}\\\\c = 5[/tex]
−14x−5=
−
10
x
−
45
−10x−45 solve for x pplz help
Answer: X = -85/6
Step-by-step explanation:
Frances buys an iPhone for $150 and gets a consumer surplus of $200. Her willingness to pay for an iPhone is $ . If she had bought the iPhone on sale for $100, her consumer surplus would have been $ . If the price of the iPhone had been $400, her consumer surplus would have been $
The concept of consumer surplus refers to the satisfaction that consumers get from purchasing a good or service for a price lower than their maximum willingness to pay. The difference between what they are willing to pay and what they actually pay is the consumer surplus.
Therefore, the consumer surplus that Frances gets for the iPhone she bought for $150 is $200, which means that her willingness to pay for an iPhone is $350. ($150 + $200 = $350)If Frances had bought the iPhone on sale for $100, her consumer surplus would have been $250. ($350 - $100 = $250)If the price of the iPhone had been $400, Frances would not have bought it because her willingness to pay is $350, and the price is more than that.
To summarize, Frances' willingness to pay for an iPhone is $350. If she had bought the iPhone on sale for $100, her consumer surplus would have been $250. If the price of the iPhone had been $400, her consumer surplus would have been zero because she would not have bought the iPhone.
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trigonometric functions: what is the value of x?
Answer:
x ≈ 19.7
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin66° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] ( multiply both sides by x )
x × sin66° = 18 ( divide both sides by sin66° )
x = [tex]\frac{18}{sin66}[/tex] ≈ 19.7 ( to the nearest tenth )
Becky and Barbara are shopping for clothes. Becky bought dresses that cost $14.50 and $20 and a pair of flip-flops for $8.25. Barbara bought a blouse for $8.25, a skirt for $20 and a pair of jeans for $14.50. How much did the two women spend together?
Answer:
$85.50 dollars
Step-by-step explanation:
Becky bought a $14.50 and $20 dress, and a $8.25 pair of flipflops. That is $42.75 . Barbara bought differernt things but still spent the same amount of $42.75 . So if you add those up, it would be $85.50 that they have spent together. Hope this helps :)
please help me!!!! graph y=1/7x+8
Answer:
Step-by-step explanation:
Slope:1/7 Y-interept= (0,8)
x/y
____
-56 0 *table
0 8
I NEED ANSWER TO THIS!! POINTS
Answer:
Step-by-step explanation:
B : E and A
W : X
