Answer:
3/14
Step-by-step explanation:
5/7 divide by 3 1/3
3 1/3 is 10/3
5/7 divide by 10/3
after the reciprocal
5/7 x 3/10 = 3/14
A bank offers a 4% annual interest rate for a savings account. Juan puts $5,000 into an account to save for college. How much will be in the account after a year?
$
Answer:
5,200$
Step-by-step explanation:
Answer:
5200
Step-by-step explanation:
5000 x 1.04 = 5200
hope this helps :D
Given: 51 = 650 W/m²; st = 275 W/m²; L1 = 94 W/m²; and L1 = 395 W/m2 Compute the albedo (a) and enter your answer in the text box. DO NOT INCLUDE UNITS, JUST THE NUMERICAL VALUE.
The albedo (a)in this case is approximately 0.4231.
How to calculate the albedo (a)To compute the albedo (a), we need to understand the terms given.
Albedo is the measure of reflectivity of a surface, expressed as the ratio of the reflected solar radiation (st) to the incoming solar radiation (51).
Here, 51 = 650 W/m² represents the total solar radiation, and st = 275 W/m² represents the reflected solar radiation.
Additionally, L1 = 94 W/m² and L1 = 395 W/m² seem to be irrelevant to the calculation of albedo, as they don't represent incoming or reflected solar radiation.
Therefore, we can disregard these terms for this calculation.
Now, we can calculate the albedo (a) using the formula:
a = (reflected solar radiation) / (incoming solar radiation) a = (st) / (51)
By substituting the given values:
a = (275 W/m²) / (650 W/m²) a ≈ 0.4231
Remember, albedo values range from 0 to 1, where 0 indicates no reflectivity and 1 indicates total reflectivity.
In this case, just provide the numerical value as the answer: 0.4231
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In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.
Answer:
6:5
Step-by-step explanation
boys : girls
= 18 : 15
Now time to simplify:
18/3: 15/3
= 6:5
-3|9x-7|=2 Find the answer for x
gement System Grade 0.00 out of 10.00 (0%) Plainfield Electronics is a New Jersey-based company that manufactures industrial control panels. The equation gives the firm's production function Q=-L³+15
The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.
In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.
Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.
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Solve for f: 7a−3d+6f=5
A pole-vaulter approaches the takeoff point at a speed of 9.15m/s. Assuming that only this speed determines the height to which they can rise, find the maximum height which the vaulter can clear the bar
The maximum height the pole-vaulter can clear is approximately 4.06 meters.
To find the maximum height the pole-vaulter can clear, we can use the principle of conservation of mechanical energy. At the takeoff point, the vaulter possesses only kinetic energy, which can be converted into potential energy at the maximum height.
The formula for gravitational potential energy is:
Potential energy =\(mass \times gravitational acceleration \times height\)
Since the vaulter's mass is not given, we can assume it cancels out when comparing different heights. Thus, we only need to consider the change in height.
Using the conservation of mechanical energy:
Kinetic energy at takeoff = Potential energy at maximum height
\((1/2) \times mass \times velocity^2 = mass \times gravitational acceleration \times height\)
We can cancel out the mass and rearrange the equation to solve for height:
height = \((velocity^2) / (2 \times gravitational acceleration)\)
Substituting the given values:
height = \((9.15^2) / (2 \times 9.8\)) ≈ 4.06 meters
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Enter the decimal value positioned at point B.
-6
-5
3
-2
1
2.
Answer:
im having the same problem
Step-by-step explanation:
Please answer it now in two minutes
Answer:
Step-by-step explanation:
C 32 units
Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which result is most likely?
Answer:
she mostly likely found 1 result .
The annual sales of romance novels follow the normal distribution. However, the mean and the standard deviation are unknown. Forty percent of the time, sales are more than 470,000, and 10% of the time, sales are more than 500,000. What are the mean and the standard deviation?
Answer:
Mean(m) = 462,536
sd = 29,268.29
Step-by-step explanation:
Given the following:
P(sales > 470,000) = 40% = 0.4
P(sales > 500,000) = 10% = 0.1
Using the z - table, we can locate the corresponding P values
Z = 1 - p = 1 - 0.4 = 0.6; 1 - 0.1 = 0.9
Locating the closest value to 0.6 on the z table ;
(0.25 + 0.26) / 2 = 0.255
Locating the closest value to 0.9 on the z table ;
Z = 1.28
Recall;
z =( x - m) / sd
Where m = mean ; sd = standard deviation
First condition:
0.255 = (470,000 - m) / sd
0.255 × sd = (470,000 - m) - - - - - (1)
1.28 = (500,000 - m) / sd
1.28 × sd = (500,000 - m) - - - - (2)
We can solve for one of the unknowns y subtracting equation (1) FROM 2
1.28sd - 0.255sd = (500,000 - m) - (470000 - m)
1.025sd =500,000 - m - 470000 + m
1.025sd = 30,000
sd = 29,268.29
Substituting the value od SD into (1) or (2)
1.28 × 29,268.29 = 500000 - m
37463.41 = 50000 - m
m = 50000 - 37463.41
Mean(m) = 462,536
What is anequation of the line that passes through the points (-5,4) and (5,–8)?
ANSWER
y = -1.2x - 2
EXPLANATION
We want to find the equation of the line that passes through points (-5, 4) and (5, -8).
To do this, we use the formula:
\(\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\)From the question:
x1 = -5
y1 = 4
x2 = 5
y2 = -8
Therefore:
\(\begin{gathered} \frac{y-4}{x-(-5)}=\frac{-8-4}{5-(-5)} \\ \frac{y-4}{x+5}=\frac{-12_{}}{5\text{ + 5}} \\ \frac{y\text{ - 4}}{x\text{ + 5}}=\text{ }\frac{-12}{10} \\ \text{Cross multiply:} \\ 10(y\text{ - 4) = -12(x + 5)} \\ 10y\text{ - 40 = -12x -60} \\ \text{Collect like terms}\colon \\ 10y\text{ = -12x - 60 + 40} \\ 10y\text{ = -12x - 20} \\ \text{Divide through by 10:} \\ \frac{10y}{10}=\text{ }\frac{-12}{10}x\text{ - }\frac{20}{10} \\ y\text{ = -1.2x - 2} \end{gathered}\)That is the equation of the line that passes through those points.
Round to the nearest thousandth
The population was 6.98 million in 1900. The population of New York decreased with respect to time.
What is an exponential function?
An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.
The population of New York state can be modeled by
\(P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}\)
P is the population and t is the number of years since 1800.
The difference between the year 1900 to 1800 is 100.
Putting t = 100 in the given model:
\(P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}\)
\(P(t)=\frac{19.71}{1+61.22e^{-3.513}}\)
P(t) = 19.71/2.8248
P(t) = 6.9774
P(t) = 6.977 (rounded to the nearest thousands)
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1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
Several years ago clarissa researched the number of telephones in several countries the data found rounded to the nearest whole number is shown in the table part 1: explain how to determine the scale to mark the vertical axis of your graph part 2: construct your graph to represent the number of telephones per thousand people for each country
Based on the number of telephones per people in the country given, the best scale would be a 100 telephones per 1 cm scale on the vertical axis.
What scale should be used?India has a small number of telephones per 1,000 people of 8 while the U.S. had a high number of 800.
Any scale used would have to cater for these two extremes while also catering for the numbers between.
The best scale would therefore be a 100 telephones per 1,000 people. The separation of each hundred would be 1 cm which every 0.1 cm representing 10 telephones per 1,000 people.
The graph is shown attached.
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which of the confidence intervals include the true proportion of youth survey participants who say they are about the right weight?
Yes, the 90% confidence interval includes the true proportion of youth survey participants who say that they are about the right weight.
The confidence interval for a population proportion is calculated by the below formula
p ± z×√(p × (1-p))/n
where p is called as sample proportion
z is called as z-value
and n is the sample size
Here, we have sample size(n)=100
and by using the z-table we find that p-value=0.56 and z-value=1.645
90% confidence interval=0.56±(1.645×√[0.56×(1-0.56)]/100)
=>90% confidence interval=0.56± [1.645×√(0.56×0.44)/100]
=>90% confidence interval=0.56±[1.645×(√0.2464/100)]
=>90% confidence interval=0.56±[1.645×(0.049)]
=>90% confidence interval=0.56+0.0816 and 0.56-0.0816
=>90% confidence interval=0.6416 and 0.4784
So,90% confidence intervals covers [0.4784,0.6416] proportion of total population.
Here intervals range is greater than zero, it means 90% confidence interval covers the true proportion.
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Full Question: Using the sample of size 200, construct a 95% confidence interval for the proportion of Youth Survey participants who would describe themselves as being about the right weight (Round to three decimal places.) Sample Proportion = Margin of error Lower limit Upper limit Does your 95% confidence interval based on the sample of size 200 include the true proportion of Youth Survey participants who would describe themselves as being about the right weight? O Yes O No
Can someone help me on #7 and #9? It is to find x and y in a parallelogram. Thanks! Will give 12 points.
A 18 ft tall flagpole standing next to a tent costs o 27 ft shadow. If the tent casts a shadow that is 15 ft long. then how tall is it?
find the area of the region between y=x1/2 and y=x1/3 for 0≤x≤1.
We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.
To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units
Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question but the answer has been provided in the format requested.
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What does it mean when you use a 0. 05 level of significance (alpha level) to evaluate statistical results
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
What is significance level?In statistical hypothesis testing, a result has statistical significance when a result that is at least as "extreme" as the null hypothesis would be extremely rare if the null hypothesis were true. The significance level of an event (for example, a statistical test) is the likelihood that the event occurred by chance. We call an occurrence important if the level is relatively low, that is, the likelihood of occurring by chance is quite minimal. When the null hypothesis is true, the significance level is the chance of rejecting it. A significance level of 0.05, for example, represents a 5% chance of finding that a difference exists when there is none.
Here,
When the null hypothesis is true, the significance level, also known as alpha or, is the chance of rejecting it. A significance level of 0.05, for example, represents a 5% chance of finding that a difference exists when there is none.
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Three times the sum of a number and 5 is the same as -6. What is the number?
please help me I don't know how to do math
Answer:
a=-7
Step-by-step explanation:
divid 3 from both sides step 2 minus 5 from both sides step 3 and then you get a=-7
HELP DUE IN 10 MINS!
Attached is the Question.
Answer:
∠N ≅ ∠J - givenLN ≅ LJ - given∠L ≅ ∠L - reflexive propertyPostulate: ASA
Congruency Statement: ΔJML ≅ ΔNKL
The price of nails, n, is $1.29/lb. The price of washers, w, is $0.79/lb. The price of bolts, b, is $2.39/lb.
Section a .Write an expression to represent the total price of the supplies
Section b. What is the total cost of buying 2 pounds of nails, 4 pounds of washers and 3 pounds of bolts?
Answer: 1.29n + 0.79w + 3.39b is the expression.
The total cost is $12.91
Step-by-step explanation: Substitute the number of pounds for each given supply. Multiply to get the individual amounts, then add all of those amounts to find the total cost.
1.29(2) + 0.79(4) + 2.39(3) = total
2.58 + 3.16 + 7.17 = 12.91
Answer:
1.29n + 0.79w + 2.39b
1.29(2) + 0.79(4) + 2.39(3) =
2.58 + 3.16 + 7.17 = $12.91
Step-by-step explanation:
What is the solution to 1/2 |x| = -3?
Answer: 1/2 |x| = -3?
Step-by-step explanation:
Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?
Connect all six points on the circle.
Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.
Construct two diameters using the points where the arc intersects the circle and the center.
Connect the endpoints of the two diameters.
The one that is a step used in the construction of an equilateral triangle inscribed in a circle is:
B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter
How to construct an equilateral triangle?The steps to construct an equilateral triangle inscribed in a circle are:
1. Draw a point that will be the center of the circle. Label this "point O". Technically, it doesn't matter which character you use to represent a point.
2. Draw a perfect circle centered at point O using a compass.
3. Use a ruler to draw a straight vertical line through point O. Extend this line beyond the boundaries of the circle. 4) Draw a point where the line and the circle intersect. Label the bottom point "Point W" and the top point "Point X".
5) Draw a second circle. The center of this circle is point W and the radius extends to point O.
6) Mark both places where the two circles intersect. Label the left point "Point Y" and the right point "Point Z".
7) Connect the points X, Y and Z with a ruler or straightedge.
Looking at the options, the only correct step is:
B. draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter
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calculate the taylor polynomials 2 and 3 centered at =0 for the function ()=16tan().
Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.
The Taylor series expansion for tangent function is:
tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...
Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:
Degree 2 Taylor polynomial:
P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2
= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2
= 0 + 16x + 8x^2
Degree 3 Taylor polynomial:
P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3
= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3
= 16x + 8x^2
Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
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according to statistics reported on cnbc, a surprising number of motor vehicles are not covered by insurance. sample results, consistent with the cnbc report, showed 46 out of 200 vehicles were not covered by insurance. Develop a 95% confidence interval for the population proportion
The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.
How to find the confidence interval for a population proportion?The confidence interval for a population proportion is calculated by the formula,
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
Where \(\bar{p}\) is the sample proportion and α is the level of significance.
Calculation:It is given that,
The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are
The sample size n = 200;
The number of successes = 46
So, the sample proportion \(\bar{p}\) = 46/200 = 0.23
For a 95% confidence interval, the level of significance is
α = 1 - 95/100 = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Then, the z-score for the value 0.025 is
\(z_{\alpha/2}\) = 1.96 (from the table)
Thus, the confidence interval is
\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)
⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)
⇒ C.I = 0.23 ± 1.96 × 0.0298
⇒ C.I = 0.23 ± 0.0584
So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.
Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.
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12. [Ex 2K) Find the centre, C, and the radius, r, of the following equation of circle: x2 + y2 - 6x + 4y + 9 = 0
An equation in the form:
\((x-a)^2+(y-b)^2=r^2\)is the standard form for the equation of a circle with center (a,b) and radius r. Here we have:
\(x^2+y^2-6x+4y+9=0\)Then, group the x and y terms separately and "move" the constant to the right side of the equation:
\(x^2-6x+y^2+4y=-9\)Complete the square:
\(x^2-6x+9+y^2+4y+4=-9+9+4\)Factor:
\((x-3)^2+(y+2)^2=4\)Express the right side as a square:
\((x-3)^2+(y-(-2))^2=2^2\)Therefore:
The center is: (3, - 2), the radius is 2
Answer:
\(\begin{gathered} \text{Center: (3,-2)} \\ \text{Radius: 2} \end{gathered}\)Assume that a procedure yields a binomial distribution with n = 4 trials and a probability of success of p = 0.10. Use a binomial probability table to find the probability that the number of successes x is exactly 1.
Answer:
actually the answer is 1
Renting a tent from the party supply store costs $100 for the insurance fee and $50 for each hour rented. Write an algebraic expression to represent this situation based on the number of hours the tent was rented. What is the coefficient in the expression
Answer:
100 + 50h
Step-by-step explanation:
Given
Represent the hour with h.
Insurance Fee = $100
Hours = h
Cost per hour = 50
Required
Determine an algebraic expression
The expression is as follows:
Expression = Insurance Fee + Cost per hour * number of hours
Expression = 100 + 50 * h
Expression = 100 + 50h
The coefficient in the question is the number of hours (h)