The solutions are;
The critical value with a level of significance ‘of 0.10’ and degrees of freedom ‘of 3’ is 1.533.
The critical value with a level of significance ‘of 0.01’ and degrees of freedom ‘of 3’ is 3.747.
The critical value with a level of significance ‘of 0.05’ and degrees of freedom ‘of 3’ is 2.132.
Given;
Let's say you randomly choose n = 4 measurements from a normal distribution. If you were constructing the following confidence intervals, compare the standard normal z values with the appropriate t values.
(a) 80% confidence interval:
The z-value is obtained as shown below:
The level of significance is;
Locate the probability in the z table. Then, the corresponding row value is 1.2 and the column value is 08.
The critical value with a level of significance is 1.28.
α = 1 - 0.80 = 0.20
α/2 = 0.10
The t-value is obtained as shown below;
From the information, the sample size is 4.
df = n - 1 = 4 - 1
= 3
The critical value with a level of significance ‘of 0.10’ and degrees of freedom ‘of 3’ is 1.533.
(b) 98% confidence interval:
The z-value is obtained as shown below:
The level of significance is;
Locate the probability in the z table. Then, the corresponding row value is 2.3 and the column value is 03.
The critical value with a level of significance is 2.33.
α = 1 - 0.98 = 0.02
α/2 = 0.01
The t-value is obtained as shown below;
From the information, the sample size is 4.
df = n - 1 = 4 - 1
= 3
The critical value with level of significance ‘0.01’ and degrees of freedom ‘3’ is 3.747
(C) 90% confidence interval:
The z-value is obtained as shown below:
The level of significance is;
Locate the probability in the z table. Then, the corresponding row value is 1.6 and the column value is 04.
The critical value with a level of significance is 1.64.
α = 1 - 0.90 = 0.10
α/2 = 0.05
The t-value is obtained as shown below;
From the information, the sample size is 4.
df = n - 1 = 4 - 1
= 3
The critical value with a level of significance ‘of 0.05’ and degrees of freedom ‘of 3’ is 2.132.
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NEED ANSWER WITHIN 5 MINS! THE BEST ANSWER GETS BRAINLIEST!!!
Use the drawing tools to form the correct answer on the provided graph.
Graph the line that represents the equation y = -2/3x + 1.
The required graph of the given line y = -(2/3)x + 1 is shown in the attached figure.
The equation of the line is given in the question as:
y = -(2/3)x + 1
First, we have to find the intercepts of the equation y = -(2/3)x + 1
The y-intercept is the value of y when the value of x is appropriately zero.
For x = 0
y = -2/3(0)+1
y = 1
The y-intercept is the point where (0.1)
Determine the x-intercept.
The x-intercept is the value of x when the value of y equals zero.
For y = 0
0 = (-2/3)x + 1
-1 = (-2/3)x
x = 3/2 or 1.5
The y-intercept is the point (1.5,0).
To graph, the line, draw the intercepts and connect the dots as indicated in the image.
As a result, the graph for the line y = -(2/3)x + 1 is provided below.
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pls, hurry!!!!!!!
I will give brainliest to the one who finishes the table!
Answer: 1 is 77 3 is 231 5 is 308 and 7 is 385
Step-by-step explanation:
What is 1/2 of 17 by estimating each product
Stress, measured in newtons per square meter (N/m^2) is the ratio of force, in newtons (N) to the area, in square meters (m^2) on which that force is acting. Based on the table at left, which object is experiencing the greatest stress?
Object: Object 1, Object 2, Object 3, Object 4
Force (N): 72, 185, 406, 512
Area (m^2): 6.46 * 10^-5, 4.56 * 10^-5, 5.07 * 10^-4, 1.14*10^-3
(^Here is the table^)
A) Object 1
B) Object 2 ***** Correct
C) Object 3
D) Object 4
The greatest stress is experienced by object 2.
How to determine the object experiencing the greatest stress?Stress is defined as force divided by area
Given: the table containing values of force and area for objects
Object 1
Stress = 72/6.46×10⁻⁵ = 1114551.084 N/m²
Object 2
Stress = 185/4.56×10⁻⁵ = 4057017.544 N/m²
Object 3
Stress = 406/5.07×10⁻⁴ = 792899.4083 N/m²
Object 4
Stress = 512/1.14×10⁻³ = 449122.807 N/m²
Therefore, object 2 is experiencing the greatest stress
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Which expreion are equivalent to
−
90
−
60
w
−90−60wminu, 90, minu, 60, w?
Chooe 3 anwer:
Chooe 3 anwer:
(Choice A, Checked)
A
−
30
(
3
2
w
)
−30(32w)minu, 30, left parenthei, 3, plu, 2, w, right parenthei
(Choice B)
B
(
−
9
−
6
w
)
⋅
10
(−9−6w)⋅10left parenthei, minu, 9, minu, 6, w, right parenthei, dot, 10
(Choice C)
C
−
3
(
30
−
20
w
)
−3(30−20w)minu, 3, left parenthei, 30, minu, 20, w, right parenthei
(Choice D)
D
(
6
4
w
)
×
15
(64w)×15left parenthei, 6, plu, 4, w, right parenthei, time, 15
(Choice E)
E
−
20
(
4. 5
3
w
)
−20(4. 53w)minu, 20, left parenthei, 4, point, 5, plu, 3, w, right parenthei
The expression equivalent to the expression -90 - 60w is -30(3 + 2w), (-9 - 6w)10 and -20(4.5 + 3w)
We need to find the expressions that are equivalent to given expression
We solve the expression and check,
A) -30(3 + 2w)
-90 - 60w
Yes it is equivalent.
B) (-9 - 6w)10
-90 - 60w
Yes it is equivalent.
C) -3(30 - 20w)
-90 + 60w
No it is not equivalent.
D)(6 + 4w)15
90 + 60w
No it is not equivalent.
E) -20(4.5 + 3w)
-90 - 60w
Yes it is equivalent.
Therefore, The expression equivalent to the expression -90 - 60w is -30(3 + 2w), (-9 - 6w)10 and -20(4.5 + 3w)
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What is the value of the expression below when w=4 and x=5
2w+4x
The value of the expression, 2w+4x, is 28 when w = 4 and x = 5.
According to the question,
We have the following expression:
2w+4x
We have the following values of w and x:
w = 4 and x = 5
Now, in order to find the value of the given expression, we will put these values in the expression.
So, we have this:
2*4+4*5
Now, we will first multiply the integers and then we will add the obtained results together:
8+20
28
Hence, the value of the expression, 2w+4x, is 28 when w = 4 and x = 5.
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help please i really need this done
Solving an equation we will see that x = 13, then the measure of interior angle G is 63°.
How to find the measure of angle G?
Here we have the 3 interior angles of a triangle defined with a variable x.
m∠E = (5x + 6)°
m∠F = (4x - 6)°
m∠G = (5x - 2)°
Now, remember that the sum of the interior angles of a triangle is always equal to 180°.
Then we can write:
(5x + 6)° + (4x - 6)° + (5x - 2)° = 180°
We can solve this for x.
14x - 2 = 180
14x = 180 + 2
x = 182/14 = 13
Now that we know the value of x, we can find the value of angle G.
m∠G = (5x - 2)° = (5*13 - 2)° = (15 - 2)° = 63°
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The diagonal of a square is x units. What is the area of the square in terms of x?
The area of the square is (x²/2) square units.
We are given a square. The length of the diagonal of the square is x units. We have to find the area of the square in terms of "x".
Let the side of the square be denoted by the variable "s". We will use the Pythagorean theorem to find the length of the side of the square.
s² + s² = x²
2s² = x²
s² = x²/2
s = √(x²/2)
s = (x/√2)
The area of the square is given by the square of the side length. Let the area of the square be denoted by the variable "A".
A = s²
A = (x/√2)²
A = x²/2
Hence, the area of the square is (x²/2) square units.
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Please help me with my math homework
Given system has no solution.
The correct answer is an option (D)
In this question, we have been given the graph of system of equations.
The solution of given system is the point of intersection of all lines.
We can observe that the graph of any two lines intersected at points (2, -1), (-2, 3) and (0, 3)
But there is no common point of intersection for given system.
This means, the system has no solution.
Therefore, the given system has no solution.
The correct answer is an option (D)
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J(13,-5), K(2, 6), L(-1,-5), M(-4,-2)
J10
L(-3,2
Answer:
is there a graph for this
Step-by-step explanation:
i need a grapg or to know what they wanted to know
What’s the value of a?
If R and S are parallel lines and <1= 4x-3 and <7= 3x+4, find the measure of <2
If R and S are parallel lines and ∠1= 4x-3 and ∠7= 3x+4, The measure of ∠2 will be 179.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that, R and S are parallel lines and <1= 4x-3 and <7= 3x+4,
From the given figure it is obtained that R and S are parallel lines,
∠1=∠7
4x-3=3x+4
4x-3x=4+3
7x=7
x=1
If the ∠1 and ∠2 are supplementary,
∠1+∠2=180
4x-3+∠2=180
∠2=180-4x+3
Substitute the value of x,
∠2=180-4(1)+3
∠2=179
Thus, if R and S are parallel lines and ∠1= 4x-3 and ∠7= 3x+4, The measure of ∠2 will be 179.
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If the line passes through the point (0,4) and has a slope of -1, find the solution to the system.
Answer:
y = - x + 4
Step-by-step explanation:
Use point-slope form: y-k = m(x-h) for point (h,k) with slope m
now just plug and chug:
y-4 = -1(x-0)
y-4 = -x
y= -x+4
not sure about what you meant by "solution." Just gonna assume that you were looking for the equation.
Can someone please help me!!
A chemist has 3 different acidic solutions.
The first solution contains 20% acid, the second contains 35% acid, the third contains 80% acid.
She created 54 liters of a 50% acid mixture, using all 3 solutions. The number of liters of 80% solution used is 2 times the number 35% solution is used
The chemist used_ liters of 20% solution,_35% of solution,_liters of 80% solution.
The volumes of the 20% solution, 35% solution, and 80% solution used by the chemist are 18 liters, 12 liters, and 24 liters, respectively.
The chemist has three different acidic solutions. The first solution contains 20% acid, the second contains 35% acid, and the third contains 80% acid. She created 54 liters of a 50% acid mixture, using all 3 solutions. The number of liters of 80% solution used is 2 times the number of liters of 35% solution used.
Let the amounts of 20% solution, 35% solution, and 80% solution used be x, y, and z. We already know that z = 2y. We can write equations as given below.
The sum of the volumes must be equal to the final volume.
x + y + z = 54
x + y + 2y = 54
x = 54 - 3y
Now we will write the equation using the concentrations of the acid.
50%*54 = 20%*x + 35%*y + 80%*z
27 = 0.2(54 - 3y) + 0.35y + 0.8(2y)
2700 = 20(54 - 3y) + 35y + 80(2y)
2700 = 1080 - 60y + 35y + 160y
1620 = 135y
y = 1620/135 = 12
z = 2y = 2*12 = 24
x = 54 - 3y = 54 - 36 = 18
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Write the point-slope form of the equation of the line through the given points:
1) through: (5, 4) and (-2, 5)
2) through: (4, -5) and (0, 2)
3) through: (0, 4) and (2, 1)
The equation of the line in point slope form is as follows:
y - 4 = - 1 / 7(x - 5)y + 5 = - 7 / 4(x - 4)y - 4 = - 3 / 2(x - 0)How to represent linear equation in slope intercept form?Linear equation can be represented in different form such as point slope form, slope intercept form, standard form and general form.
Therefore, equation in point slope form can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, let's find the point slope form of the lines.
1) through: (5, 4) and (-2, 5)
m = 5 - 4 / -2 - 5
m = 1 /- 7 = - 1 / 7
Therefore,
y - 4 = - 1 / 7(x - 5)
2) through: (4, -5) and (0, 2)
m = 2 + 5 / 0 - 4
m = 7 / -4 = - 7 / 4
Therefore,
y + 5 = - 7 / 4(x - 4)
3) through: (0, 4) and (2, 1)
m = 1 - 4 / 2 - 0
m = - 3/ 2
Therefore,
y - 4 = - 3 / 2(x - 0)
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6. Jung purchased several video games priced at $29.95 each and paid $5.95 for express shipping. His total purchase was $185.65. How many video games did he purchase?
Answer:
6 video games
Step-by-step explanation:
We can solve this question with an algebraic equation.
29.95x + 5.95 = 185.65
29.95x + 5.95 - 5.95 = 185.65 - 5.95
29.95x ÷ 29.95 = 179.7 ÷ 29.95
x = 6
a 4-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3, and 4 (see image). imagine rolling two fair, 4-sided dice and recording the number along the base of each pyramid. (a) what is the sample space for this chance process? (1,1), (1,2), (1,3), (1,4), (2,2), (2,3), (2,4), (3,3), (3,4), (4,4) (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4). (1,1), (2,2), (3,3), (4,4) (1,1), (1,2), (1,3), (1,4) because the dice are fair, each of the outcomes in the sample space are equally likely. what is the probability of each outcome in the sample space? enter a fraction. (b) define event a as getting a sum of 5. p(a)
The probability of each outcome in the sample space = 1/16
The probability of getting a sum of 5 = 1/4
Step-by-step explanation:
We have been given a four-sided die is a pyramid whose four faces are labeled with the numbers 1, 2, 3 and 4
sample space = {(1,1), (1,2), (1,3), (1,4), (2,1),(2,2), (2,3), (2,4),(3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}
Two fair 4-sided dices are rolled and all sixteen possible outcomes are equally likely.
The possible outcomes can be deduced by making combinations of different faces with a particular face.
given that each of the outcomes in the sample space is equally likely. So the probability of each outcome in the sample space is the same.
now we find the probability of each of the outcomes in the sample space
(a) when two dices are rolled, we have n(s) = 4*4=16
the chances of getting the outcome as (1,1) n(a) = 1
the probability of getting the outcome as (1,1) p(a)= n(a)/n(b)
p(a) = 1/16
so the probability of each outcome in the sample space = 1/16
(b) P(A) is the probability of getting 5 as a sum
P(A) = Total outcomes with 5 as a sum/Total outcomes
Total outcomes with 5 as sum= 4
Total outcomes= 16
P(A)=4/16=1/4
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(3x-8)(2x+1) in simplest form
3x(2x+1)-8(2x+1)
6x²+3x-16x+16
6x²+13+16
the number of cars sold annually by used car salespeople is normally distributed with a standard deviation of 15. a random sample of 430 salespeople was taken and the mean number of cars sold annually was found to be 79. find the 97% confidence interval estimate of the population mean.
At the 97% confidence interval estimate of the population mean is
(80.55, 77.45).
Following are the calculation to the confidence interval :
Given that,
σ = 15
n = 430
X = 79
Here C = 97% = 0.97
⇒ α = 1 -C = 1 - 0.97 = 0.03
∴ Zₙ = Zₙ/2 = Z₀.₀₁₅ = 2.17
Now,
97% confidence interval,
C.I = X ± σ/√n
= 79 ± 2.17 × (15/√430)
= 79 + 2.17 × (15/ 21) [taking round figure of √430=2.0736441]
= 80.55
Now taking the negative sign,
= 79 - 2.17 × (15/√430)
= 79 - 2.17 × (15/ 21)
= 77.45
The final answer is (80.55, 77.45).
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Which one is the function here and why
Answer:B
Step-by-step explanation:no points on be colide with each other on either axis
Kiefer service company common stock sells for $36. 84 per share and has a market rate of return of 15. 8 percent. The company just paid an annual dividend of $1. 61 per share. What is the dividend growth rate?.
The dividend growth rate of Kiefer service company is 0.16% . Dividend growth rate can be determined by using the return rate formula.
Dividend growth rate is the annual rate of growth that a particular stock's dividends experience over a specified period of time.
We have given that ,
Common stocks sells or current price = $36.84
Market rate of return (R) = 25.8 %
Annual dividend (D) = $1.61
Rate of return is defined as net gain or loss of। an investments over a specified time period . It is expressed as a percentage of investment initial cost .
Using the formula,
Rate of return = (D1/ current price )+growth rate where,
D1 --> divided of previous year
putting all the values in above formula we get,
15.8 = ( 1.61/36.84) + growth rate
=> growth rate= 15.8 - (1.61/36.84) = 15.756
Hense, the dividend growth rate for Kiefer service company is 0.16%.
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A square with perimeter p has sides of length
p
4
. The playground at DeVille Elementary School is square-shaped, and has a perimeter of 600 feet.
What is the length of each side of the playground?
The length of each side of the playground is 150 feet.
Calculating the length of a square-shaped playgroundFrom the question, we are to determine the length of each side of the playground.
From the given information,
The perimeter of a square is given by the formula,
P = 4l
Where P is the perimeter of the square
and l is the length of a side of the square
"The playground at DeVille Elementary School is square-shaped, and has a perimeter of 600 feet."
That is,
P = 600 feet
Now, we will determine the value of l
Substitute the value of P into the equation
P = 4l
600 = 4l
Divide both sides by 4
600/4 = 4l/4
150 = l
Therefore,
l = 150 feet
Hence, the length is 150 feet
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It takes Oliver 2 hours to wash the windows in his house. It takes his sister 3 hours. Based on this information we can conclude that in one hour, Oliver and his sister would get of the windows washed. This means that it would take hours (which is equal to minutes) for them to get all of the windows washed. Submit Answer attempt 1 out of 5 / problem 1 out of max 1
Answer: 5/6 windows in an hour, 6/5 hours, 72 minutes
Step-by-step explanation: the general formula used is 1/Oliver+1/sister=1/together and you plus in to find the amount of windows in an hour. Once solved, you take the reciprocal of that and that is the hours. Then you solve for the amount of minutes.
Actual Unemployment Rate = 12%
Cyclical Unemployment Rate = 7%
What is the Natural Unemployment Rate?
The Natural Unemployment Rate based on the information is 5%.
What is natural rate of unemployment?The natural rate of unemployment is the lowest unemployment rate when inflation is stable, or the unemployment rate when inflation is not accelerating. The natural rate of unemployment (NAIRU) is the rate of unemployment caused by all factors other than changes in aggregate demand. Potential GDP estimates are based on the long-term natural rate.
The unemployment rate is the proportion of the total labor force that is unemployed but actively looking for work and willing to work. Cyclical unemployment is associated with an industry's business cycle. It is a direct result of a drop in consumer demand, which has resulted in a drop in labor demand. If cyclical unemployment rises, it indicates that the economy is slowing, which is not good.
Cyclical unemployment occurs when labor forces are reduced as a result of business cycles or economic fluctuations. If you are cyclically unemployed, it means that your employer has laid you off to save money during a period of slow business.
In this case, the unemployment will be:
= Actual unemployment rate - Cyclical unemployment rate
= 12% - 7%
= 5%
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mia identified a point located at (-5,-8) her directions told her to flip it across the y axis and then across the x axis. mia wrote that the point would now be at (8,5) what was mia's error in her thinking? where would the point be actually located
Mia's error in her thinking was that she interchanged the coordinate of both the x- and y-axis. Also, the point would actually be located at (5, 8).
What is a reflection across the x-axis?In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule:
(x, y) → (x, -y)
In Geometry, a reflection across the y-axis of a graph is given by this transformation rule (x, y) → (-x, y).
(x, y) → (-x, y)
(-5, -8) → (5, -8)
Next, we would apply another reflection across the x-axis of a graph as follows:
(x, y) → (x, -y)
(5, -8) → (5, 8)
In conclusion, we can logically deduce that Mia was wrong in her calculations.
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420.9536 Find the digits in the ones place, in the tenths place, and in the thousandths place for the following number.
Answer:
ones: 0
tenths: 9
thousandths: 3
Step-by-step explanation:
Because 0 is at the beginning of the whole "part" of the number, it is a "one" in place value (confusing right??) for example, in the number 54,743, 3 would be the digit in the ones place.
Because 9 is one decimal place across the example number, it is a tenth - because you would need 10 lots of 0.1 in order to make a whole number.
Because 3 is three decimal places across the example number, it is a thousandth - because you would need 1000 lots of 0.001 to make a whole number.
A good way of remembering these decimal place values is by using the number of zeros after 10, 100, 1,000, 10,000, and so on (one zero is a ten-th, two zeros is a hundred-th, etc, etc.)
Serenity invested $16,000 in an account paying an interest rate of 4. 5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 9 years?.
The amount of money that would be in the account after 9 years, giving the interest rate and the amount invested is $23, 777.52
How to find the amount in future?The amount in the account after 9 years is called the future value of the amount that Serenity invested.
To find this future value, you use the future value formula which is:
= Amount invested x ( 1 + interest rate) ^ number of years
The amount in the account after 9 years would therefore be:
= 16, 000 x ( 1 + 4.5%) ⁹
= $23777.52224662808994653125
= $23, 777.52
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Evaluate 9/g + 2h + 5
Evaluated expression of the given mathematical expression is (9+2gh+5g)/g.
Given the mathematical expression is 9/g + 2h + 5.
So, now the LCM (g,1,1) = g
So evaluating the given expression we get,
9/g + 2h + 5 = (9+2gh+5g)/g
Hence the evaluated expression is (9+2gh+5g)/g .
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Answer these two related questions please thank you
Answer:
https://brainly.com/question/5761254?referrer=searchResults
the question is already answerd by Yna9141
here is his text:
The average of the certain set of data can be calculated by dividing the sum of the given numbers/data by their count.
(a) In this item, we are given with: -0.05, 0.09, -0.04, -0.08
Their sum is as follows:
S = (-0.0.5) + (0.09) + (-0.04) + (-0.08)
S = -0.08
Then, divide the sum by 4.
M = -0.08 / 4 = -0.02
b. The answer to this question can be calculated through the equation below,
M₂ = (S + F) / 5
Substituting the known values,
-0.01 = (-0.08 + F) / 5
the value of F is equal to 0.03.
Answer:
15a: -0.02 15b: 0.03
Step-by-step explanation:
15a.
To find the mean, you need to add the values together and divide by the number of values.
(-0.05+0.09+-0.04+-0.08)/4
Simplify:
(-0.05+0.09-0.04-0.08)/4
(-0.05+0.09-0.12)/4
(0.09-0.05-0.12)/4
(0.04-0.12)/4
-0.08/4
-0.02
15b.
let's say the change for Friday is "x"
insert the numbers and add in -0.08 from earlier:
(-0.08+x)/5=-0.01
rearrange (-0.08+x):
(x-0.08)/5=-0.01
multiply both sides by 5:
x-0.08=-0.05
add 0.08 to both sides:
x=0.03