(a) The percentage of college graduates who support drilling for oil and natural gas off the coast of California is 35.16%, and the percentage of non-college graduates who support it is 33.94%.
(b) The calculated test statistic is 1.20, which is less than the critical value of 1.96. Therefore, we fail to reject the null hypothesis, and we do not have enough evidence to conclude that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.
How to find the percentage of supporters in each group?We divided the number of supporters in each group by the total number of respondents in that group and multiplied by 100. We found that 154 out of 438 college graduates (35.16%) and 132 out of 389 non-college graduates (33.94%) in the sample support drilling for oil and natural gas off the coast of California.
How to setup the null and alternative hypotheses?We set up the null and alternative hypotheses and chose a significance level of 0.05. We calculated the test statistic using the formula for a two-sample z-test for proportions. We found that the calculated test statistic (1.20) is less than the critical value of 1.96, so we fail to reject the null hypothesis. Therefore, we conclude that there is not enough evidence to suggest that the proportion of college graduates who support off-shore drilling in California is different than the proportion of noncollege graduates who support it.
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Can anyone answer me please fast
Answer:
a)6.4x 10^-4 (b)1.40068493150 x10^3
Step-by-step explanation:
multiply 0.0064 by 10000 and as it is going from a smaller number to a bigger number it is 10 to the negative power of 4
b)place into a calculator and devide the number untill u get a number between 1 and 9
What is the slope for 3y+6x=9
Bob swims 10 laps on even numbered dates. He swims 15 laps on odd number dates. How many laps has he completed by the sixth day of the month? PLEASE HELP
Answer:
75 laps
Step-by-step explanation:
"sixth day of the month" (meaning day number 6)
e = even (10 laps); o = odd (15 laps)
day 1 (o) day 2 (e) day 3 (o) day 4 (e) day 5 (o) day 6 (e)
15 laps 10 laps 15 laps 10 laps 15 laps 10 laps
Total: 15 + 10 + 15 + 10 + 15 + 10
Total: 75 laps
:3))
Find the equation of the line joining the points whose x coordinates on the curve y = 2x^2 - 3 are -1 and 1.
Answer:
The equation of the line joining the points (-1,-1), (1,-1) is
y +1 =0
Step-by-step explanation:
Step(i):-
Given curve y = 2 x² -3 , x = -1 and x=1
substitute x =-1 in given curve y = 2 x² -3
y = 2 (-1 )² - 3
y = 2 -3
y = - 1
First point A( -1 ,-1)
substitute x =1 in given curve y = 2 x² -3
y = 2 (1)² - 3
y = -1
Second point B( 1 , -1 )
Step(ii):-
A( -1, -1 ) and B( 1,-1)
slope of the line
\(m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-1-(-1)}{1-(-1)} =0\)
The equation of the straight line passing through the point ( -1,-1 ) having slope m =0
y - y₁ = m ( x - x₁ )
y - (-1) = 0( x-(-1)
y +1 =0
The equation of the line joining the points (-1,-1), (1,-1) is y +1 =0
6 apples to 2 mangoes
Answer:
6:2
Step-by-step explanation:
Answer:6:2 I hope this is helpful
Step-by-step explanation:
6 apples to 2 mangos is 6:2
PLS HELP QUICK !!!!!!!
what is the area of this figure?
Answer:
... what figure?
Step-by-step explanation:
you forgot to add a picture
Answer:
ummmm what...?........
Math pls patulong
You are a bank financier. Your bank pays an annual interest rate of 3% compounded
quarterly. If the initial deposit (or principal), of your client is Php 50 000, find the
balance after 5 years.
You have to show the balance of Php 50 000 after 5 years if the bank pays an interest
rate of 3% compounded annually. Which gives a higher interest between the two?
Explain.
Using compound interest, it is found that:
With interest compound quarterly, the balance is of Php 5,804.With interest compound annually, the balance is of Php 5,796.Due to the higher balance, the quarterly compound gives the higher interest.Compound interest:\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.
In this problem:
Rate of 3%, hence \(r = 0.03\).Compounded quarterly, hence \(n = 4\).Initial deposit of 50000, hence \(P = 50000\).Five years, hence \(t = 5\).Then, the balance is:
\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(A(5) = 5000\left(1 + \frac{0.03}{4}\right)^{4(5)}\)
\(A(5) = 5804\)
With interest compound quarterly, the balance is of Php 5,804.
Now, with annual interest, we have that \(n = 1\), and:
\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(A(5) = 5000\left(1 + \frac{0.03}{1}\right)^{1(5)}\)
\(A(5) = 5796\)
With interest compound annually, the balance is of Php 5,796.
Due to the higher balance, the quarterly compound gives the higher interest.
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What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.
Answer: 33.3%
Step-by-step explanation: I did this on saavas. also for part b the answer is 32.5.
Sheila is searching career possibilities. She found that an actuary requires a bachelor's degree in
mathematics or statistics. The median salary is $94,740 a year in some parts of the country. She
also found that a nuras practitioner requires a Bachelor's degree in nursing and a master's or doctorate
in nursing. The median salary is $89.960 a year. In 20 years, how much more would an actuary earn
than a nurse practitioner?
A $1,894,800
8 $95,600
C $4,780
D $1,799,200
Step-by-step explanation:
Based on the information you provided, an actuary earns $94,740 per year while a nurse practitioner earns $89,960 per year. The difference in their annual salaries is $4,780. Over 20 years, an actuary would earn $95,600 more than a nurse practitioner (20 years * $4,780/year = $95,600).
what is 14/3 divided by 7
Answer:0.6
Step-by-step explanation:
Answer:
14/3 divided by 7 = 0.66 or 2/3
Step-by-step explanation:
14/3 divided by 7 = 0.66
0.66 as a fraction is: 2/3
Brainliest please! I am so close to getting my next ranking! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Ariana solved the equation as shown. Explain her error and correct the solution.
9x² - 144= 0
9x² = 144
x² = 16
√ x² = √ 16
x=+8
Find the slope of the line passing through the points (8,-3) and (4,-7)
The slope, commonly abbreviated as \(m\), is the change in the quantity on the y-axis, Δy, divided by the change in the quantity on the x-axis, Δx.
\(m = \frac{\Delta y}{\Delta x} = \frac{y2 - y1}{x2 - x1}\)
From the points (x, y), the first value is a value on the x-axis, and the second value after the comma is a value on the y-axis. So for the point (8, -3), 8 is x and -3 is y. But we have two points, so:
(8, -3), 8 is x1, -3 is y1
(4, -7), 4 is x2, -7 is y2
Plugging in our values, we get
\(m = \frac{y2-y1}{x2-x1} = \frac{-7-(-3)}{4-8} = \frac{-7 + 3}{-4} = \frac{-4}{-4} = 1\)
So the slope, \(m\), is equal to 1.
solve the inequality T> L+D
Answer:
solving for t= t>d+l
For l= l<t-d
Then for d=d<t-l
when irr=required return, then: group of answer choices npv less than0 npv greater than required return npv greater than 0 npv=0 npv=required return
When the Internal Rate of Return (IRR) is equal to the required return, the net present value (NPV) is equal to zero.
This means that the present value of the cash inflows is exactly equal to the present value of the cash outflows. In other words, the project is neither creating nor destroying value. It is considered a breakeven point where the project's returns are just sufficient to meet the required return.
To further explain, the NPV is a financial metric used to determine the profitability of an investment or project by calculating the difference between the present value of expected cash inflows and the present value of expected cash outflows. If the NPV is less than zero, it indicates that the project's cash outflows exceed its cash inflows, resulting in a net loss. Conversely, if the NPV is greater than zero, it means that the project's cash inflows exceed its cash outflows, resulting in a net gain.
When the IRR is equal to the required return, the NPV is equal to zero because the discount rate used in the NPV calculation (which is typically the required return) matches the project's internal rate of return. At this point, the project is neither profitable nor unprofitable, as its returns are just sufficient to cover the required return. It is important to note that the IRR is the discount rate that makes the NPV equal to zero, so when the IRR matches the required return, the NPV will naturally be zero.
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Use fundamental identities and/or the complementary angle theorem to find the exact value of the expression. Do not use a calculator 1 - cos^2 14° - cos^2 76°
We can use the fundamental identity cos^2(x) + sin^2(x) = 1 to rewrite the expression 1 - cos^2(14°) - cos^2(76°) as:
1 - cos^2(14°) - (1 - sin^2(76°))
Notice that sin(76°) is the same as cos(14°) since the complementary angle theorem tells us that sin(x) = cos(90° - x). Therefore, we can simplify the expression as follows:
1 - cos^2(14°) - (1 - cos^2(14°))
Simplifying further:
cos^2(14°) + cos^2(14°)
Which gives us a final answer of:
0
Therefore, 1 - cos^2(14°) - cos^2(76°) is exactly equal to 0.
The term "fundamental identity" can have different meanings depending on the context.
In mathematics, the fundamental identity refers to a trigonometric identity that relates the values of sine and cosine of an angle. Specifically, the fundamental identity states that:
sin²θ + cos²θ = 1
This identity is derived from the Pythagorean theorem, and it is used extensively in calculus and other branches of mathematics.
In psychology, the term "fundamental identity" can refer to a person's sense of self or their core identity. It is the belief that each person has about who they are at their core, and it can include factors such as personality traits, values, beliefs, and life experiences.
In philosophy and metaphysics, the concept of a fundamental identity can refer to the idea that everything in the universe is ultimately reducible to a single, underlying substance or essence. This idea has been explored by various philosophers and thinkers throughout history, including Aristotle and Spinoza.
In summary, the term "fundamental identity" can refer to a mathematical equation, a person's sense of self, or a philosophical concept of the underlying essence of the universe.
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Ricky has found that for every belt buckle he sells, he makes 7 + bx 4 dollars in profit, where b is the number of belt
buckles sold. How much profit will Ricky make by selling 52 belt buckles?
Answer:
215$ in profit
Step-by-step explanation:
So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.
what is the answer to -4 - (-7)
Answer:
3fufufuifjfjfjfjfjfnfnff
1. One mole of an ideal gas expands isothermally at T = 20°C from 1.1 m³ to 1.8 m³. The gas constant is given by R = 8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal ex
The work done by the gas during the isothermal expansion is 331.32 J.
Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).
The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.
Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w
where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q
During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.
Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J
Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J
Thus, the work done by the gas during the isothermal expansion is 331.32 J.
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Enter the length of Side AC, to the nearest tenth. plzzz hellpppp its urgent
Answer:
33
Step-by-step explanation:
90-57
right triangle is 90
Find the lowest common denominator (multiple). Type the equivalent fractions. Then, add or subtract. Simplify your answer. 1
2
1
3
Answer:what
Step-by-step explanation:what does this mean
The value of m varies inversely as the square of n. when , . what is the positive value of n when ?
The necessary positive value of n is 2.
What is Positive Value?
Positive numbers are any numbers that are greater than zero.
Given,
m varies inversely as the square of n.
When n = 3, then m = 6.
Inverse proportion: It is assumed that m is inversely proportional to n squared. So,
m ∝ 1/\(n^{2}\)
m = k/\(n^{2}\) ................. (1)
Where, k is the constant of proportionality.
Substitute m = 6 and n = 3 in the above equation.
6 = k / 3²
6 = k /9
6 * 9 = k
54 = k
Substitute this value in (i).
m = 54 / n²
Substitute m = 13.5 in the equation.
13.5 = 54 / n²
n² = 54 / 13.5
n = ± √4
n = ± 2
As a result, the required positive value of n is 2.
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what is the range of Dan’s car? It’s highway EPA rating is 40mpg and the tank holds 12 gallons
The range at which Dan's car can go is 3.33 miles
What is range of a car?A car's range is the distance it can travel with the current amount of fuel in the tank.
The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.
The range of a car can be measured in the unit of distance.
Therefore the range of a car can be calculated as;
R = distance per gallon/ number of gallon.
Dan's car is 40mpg and has 12 gallons in it's tank.
Therefore it's range = 40/12
= 3.33miles.
therefore the range of Dan's car is 3.33miles
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Which triangle is congruent to ABC?
Which statistics best describe the center and spread of the data in the histogram? which statistics best describe the center and spread of the data in the histogram? median and standard deviation mean and standard deviation median and iqr mean and iqr
A histogram is a graph that shows the frequency of numerical data using rectangles.
A set of quantitative data with varying values may be shown as a list or a data display.
Center and spread are ways to describe data sets like this.
Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
The mean is useful for describing the center of data with similar values.
The mean is the average value.
mean = sum of values / number of values
A histogram is a graph that shows the frequency of numerical data using rectangles.
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Which of the following statements Is true concerning f(x)=x^2-2x-24?
A. The zeroes of f (x) and 4 and -6 since f(x)=(x-4)(x+6)
B. The zeroes of f (x) and 4 and -6 since f(x) =(x+4)(x-6)
C.the zeroes of f (x) are -4 and 6 since f (x)=(x-4)(x+6)
D.the zeroes of f(x) are 4 and -6 since f(x)=(x+4)(x-6)
Answer:
None of the given options is correct.
Step-by-step explanation:
Given:
\(f(x)=x^2-2x-24\)
To find:
the true statement
Solution:
\(f(x)=x^2-2x-24\)
Here,
\(-2=-6+4\)
\(f(x)=x^2-6x+4x-24\\=x(x-6)+4(x-6)\\=(x+4)(x-6)\)
To find the zeroes of \(f(x)\), put \(f(x)=(x+4)(x-6)=0\)
\((x+4)(x-6)=0\\x+4=0\,,\,x-6=0\\x=-4,6\)
So, zeroes are \(-4\) and \(6\)
None of the given options is correct.
cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest
Answer:
-1/8
Step-by-step explanation:
(-1/2)(-1/2)(-1/2)=-1/8
Answer:
\( \frac{ - 1}{8} \)solution,
\( (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} \)
hope this helps...
Good luck on your assignment
Select the correct answer. a square-shaped painting has a frame of 4 centimeters wide in length and 4 centimeters wide in width. a square-shaped canvas painting was enlarged by adding a 4-centimeter wide decorative frame to the length and width of the canvas. if the area of the framed painting is 625 square centimeters, what is the side length of the bare canvas? a. 17 centimeters b. 19 centimeters c. 21 centimeters d. 25 centimeters
To find the side length of the bare canvas, we need to subtract the width of the frame from the dimensions of the framed painting. The side length of the bare canvas is option C) 21 centimeters.
The frame is 4 centimeters wide on each side, so the total width and length of the framed painting would be (side length of bare canvas + 4) centimeters.
We know that the area of the framed painting is 625 square centimeters, so we can set up the equation:
(side length of bare canvas + 4) * (side length of bare canvas + 4) = 625
Expanding and simplifying the equation, we have:
(side length of bare canvas)^2 + 8(side length of bare canvas) + 16 = 625
Now, let's solve for the side length of the bare canvas. Rearranging the equation, we have:
(side length of bare canvas)^2 + 8(side length of bare canvas) - 609 = 0
Using the quadratic formula, we can find the side length of the bare canvas:
(side length of bare canvas) = (-8 ± √(8^2 - 4(1)(-609))) / 2(1)
Calculating the square root, we have:
(side length of bare canvas) = (-8 ± √(64 + 2436)) / 2
(side length of bare canvas) = (-8 ± √(2500)) / 2
(side length of bare canvas) = (-8 ± 50) / 2
This gives us two solutions:
(side length of bare canvas) = (-8 + 50) / 2 = 42 / 2 = 21
(side length of bare canvas) = (-8 - 50) / 2 = -58 / 2 = -29
Since we are looking for a positive side length, the correct option is c. 21 centimeters.
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Which measurement is equal to 6 kilograms
Answer:
6.000 grams
Step-by-step explanation:
1 kg = 1000g
=> 6 kg = 6000g
Answer:
The answer is 6,000 grams
Step-by-step explanation:
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Answer:
4(x^2 +4x-1)
Step-by-step explanation:
4x^2+16x-4
Factor out a 4
4(x^2 +4x-1)
Answer:
D. 4 ( x² + 4 x - 1 )
Step-by-step explanation:
4 x ² + 16 x - 4
Taking out common factor = 4
4 ( x² + 4 x - 1 )
The diagram shows r(90°, O)(ABCD). What are the coordinates of ABCD?
In order to determine the coordinates of ABCD, it is necessary to apply the following transformation to figure A'B'C'D':
r(-90°,0)(A'B'C'D')
or, which is equivalent, apply a clockwise rotation of 90°, which is represented as follow:
T(x,y) => (y,-x)
then, for the points A', B', C' and D', you obtain:
A'(2,1) => A(1,-2)
B'(-4,-2) => B(-2,4)
C'(-4,-6) => C(-6,4)
D'(-1,-3) => D(-3,1)