Answer:
It should be 100 days sample so that the margin of error will be 39.2 tons or less
Step-by-step explanation:
We are given that A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines.
[tex]\alpha = 0.05[/tex]
To Find two tailed critical value using Z table
[tex]Z_{\frac{\alpha}{2}}=Z_{\frac{0.05}{2}}=\pm 1.96[/tex]
Margin of error = ME = 39.2
[tex]\sigma = 200[/tex]
Formula : [tex]n = (\frac{Z_{\frac{\alpha}{2}} \times \sigma}{ME})^2[/tex]
[tex]n = (\frac{1.96 \times 200}{39.2})^2[/tex]
n=100
Hence it should be 100 days sample so that the margin of error will be 39.2 tons or less
Three towns are linked by three straight roads. Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads. To do this, she needs to find the ____ of the triangle formed by the three roads.
Answer Choices:
Center
Incenter
Circumcenter
Answer:
c
Step-by-step explanation:
Loretta Adman needs to find the center of the triangle formed by the three roads.
What is Center, Incenter and Circumcenter of the triangle?
Incenter I, whose point is equidistant from the triangle's sides, and circumcenter O, whose point is equidistant from each of the triangle's vertices. A triangle center is a point in the plane that resembles the centers of squares and circles in some ways, meaning that it is roughly in the centers of the figure.
Given: Three towns are linked by three straight roads.
Loretta Adman has created a three-sided billboard that she wants to position as close as possible to all three roads.
The center is in the middle of the figure by some measure.
Therefore, Loretta Adman needs to find the center of the triangle formed by the three roads.
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Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8, 9)
Line 2: (2, - 4), (11, - 6)
The slope of line 1 is.
The slope of line 2 is.
The two lines are...
use
[tex]y - y_{1} = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \times (x_{2} - x_{1})[/tex]
slope is
[tex]m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\[/tex]
[tex]if \: \: m_{1} = m_{2} \: \: lines \: are \: parallel \\ [/tex]
[tex]if\:m_{1} = - \frac{1}{m_{2}} \\ lines \: are \: perpendicular \: to \: each \: other[/tex]
Parallel lines have the same slope
The slope of line 1 is -2/9The slope of line 2 is -2/9The two lines are parallelThe slope of a line is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
The slope of line 1 is:
[tex]\mathbf{m_1 = \frac{9 - 5}{-8 - 10}}[/tex]
[tex]\mathbf{m_1 = \frac{4}{-18}}[/tex]
[tex]\mathbf{m_1 = -\frac{2}{9}}[/tex]
Hence, the slope of line 1 is -2/9
The slope of line 2 is:
[tex]\mathbf{m_2 = \frac{-6 - -4}{11 - 2}}[/tex]
[tex]\mathbf{m_2 = \frac{-2}{9}}[/tex]
[tex]\mathbf{m_2 = -\frac{2}{9}}[/tex]
Hence, the slope of line 2 is -2/9
The lines have the same slope.
Hence, the two lines are parallel
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Side Length
(inches)
Perimeter
(inches)
0.5
2
7
?
20
Answer: The missing side is 10.5 inches
Step-by-step explanation:
Add the side lengths you know 0.5+2+ 7= 9.5
Subtract that from 20 20- 9.5 = 10.5
Don't forget to include the unit length,inches.
According to the distributive property, 6(5 + 3) =
Answer:
48
Step-by-step explanation:
If one angle of a set of vertical angles measures 63°, the sum of the vertical angles is °?
Answer:
126
Step-by-step explanation:
the answer is 126 degrees, °
1. Utilice la función y=0.17% - 3.0 para encontrar lo siguiente.
a) Estime la pendiente de la recta tangente a la curva, donde x = 0,1,2,3.
Pendiente de la recta
Х
tangente
-1
O
1
3
b) ¿en qué intervalos aumenta la función? ¿En qué intervalos está disminuyendo?
c) ¿En qué intervalo o intervalos es positiva la pendiente de la recta tangente? ¿E
intervalo o intervalos es negativa la pendiente de la recta tangente? ¿Cuál es la c
estas preguntas y la parte (b)
c) ¿Dónde parece que la pendiente de la recta tangente es cero? ¿Qué propiedad
gráfica ocurren en estos puntos?
d) ¿Dónde parece la línea tangente aproximarse mejor a la curva? ¿Lo peor? ¿Qu
del gráfico parecen hacer que sea así?
if given f(x)=2x+5 what is f(4)
Answer:
13
Step-by-step explanation:
f(4) means you plug in 4 for x so 2(4) + 5 = 8 +5 = 13
Answer: 13
Step-by-step explanation:
Plug 4 into the position of x in your equation and solve.
What is the solution to the system of equations?
{2x+3y=23
4x−5y=13
What proportion of these motors will last somewhere between 8 and 11 years
Answer: What Proportion Of These Motors Will Last Somewhere Between 8 And 11 Years? 2. What's The Probability That A Randomly Selected Motor Will Last More
the number of standard deviations a value is from the mean ... Suppose X ~ N(8, 1). ... Find the probability that a CD player will last between 2.8 and six years. a. ... A child who weighs 11 kg is one standard deviation above the mean of 10.2 kg. b. ... There is about a 68% chance that the number of heads will be somewhere.
Describe a transformation that would make quadrilateral ABCD into a square
I NEED URGENT HELP PLEASE
Answer:
ok, relax and listen I’ve got this ok?
Step-by-step explanation:
You just move it up 4 squares to (2, 9), (10,9)
see?you got this I believe in you!!!
Dina just accepted a new job. She expects to earn about $135 a week during the 34-week
school year and $450 a week during the remainder of the year. How much should Dina
earn next year?
A friend of yours was interested in computing a confidence interval for the mean student debt accumulated by NC State graduates during their undergraduate education. They collected a random sample of 40 students, and asked each how much student debt they had; all responded and responded honestly. A histogram of the data indicated it was normally distributed. They computed a 95% confidence interval of ($36,400, $41,650). However, they were unsatisfied with the margin of error, wanting a more precise interval. Referring to their ST 311 notes, they noted that in order to reduce the margin of error by half, they needed to increase their sample size by a factor of 4. So, they collected another random sample of 160 students and found another 95% confidence interval, which was much narrower, having a margin of error of $1,318. They are satisfied with the precision of the confidence interval, but are a little confused : it’s not quite half the original margin of error. Explain why the margin of error wasn’t quite reduced by a factor of 0.5. Be specific.
Answer:
Explained below.
Step-by-step explanation:
The (1 - α)% confidence interval for the population mean is:
[tex]CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}[/tex]
The factors affecting the MOE are:
The sample size (n) is inversely proportional to the MOE, thus increasing n decreases the MOE and vice-versa. Variance (σ²) is the square of S.D. So if we increase σ² then σ increases. Since σ is directly proportional to MOE, increasing σ increases MOE. The confidence level is the value of (1 – α). If we increase the confidence level then the critical value increases and thus MOE also increases.Since the population standard deviation is not provided it is obvious the sample standard deviation is used to estimate the value of σ.
On increasing the value of σ the MOE will also increase.
As the sample size is inversely proportional, increasing the sample size by a factor of 4 will reduce the margin of error by half. But since σ is also increasing there are two factors affecting the MOE together.
Therefore reducing the MOE by more than half the original value.
Geometry math question help please look at the attachment. :)
Answer:
x=20
Step-by-step explanation:
2x + 20 = 3x
-2x -2x
20 = x
types of quadratic equation
Answer:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
If the second term in a geometric sequence is -8 and the common ratio is 2, what is the value of the third term?
-4
-10
-16
Answer:-16
Step-by-step explanation:
Use the model to help you find the product.
1
2
3
×
1
3
A model represents 1 and two-thirds.
Each big square is cut into 3 parts to represent multiplying by one-third.
The number of small shaded squares in the circled parts of each big square is the numerator of the product.
The total number of small squares in a single big square represents the denominator of the product.
The product is .
Help ASAP please
Answer:
5/9
Step-by-step explanation:
Susan paid for 6 shirts to be delivered.
Each shirt cost $15.00.
Susan paid $9.99 for delivery.
What is the total amount that Susan Paid?
Answer:
$99.99
Step-by-step explanation:
6 x 15 = 90
+ 9.99
A computer can perform 4.66 x 10^8 calculations per second, what is the performance of the computer in one minute?
any help is appreciated!!
Answer:
4.66 x 10^9
Step-by-step explanation:
The performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
A computer can perform 4.66 x 10⁸ calculations per second,
As we know,
1 minute = 60 seconds
1 second = 1/60 minutes
The performance of the computer in one minute = 4.66 x 10⁸(1/(1/60))
The performance of the computer in one minute = 4.66x60x 10⁸
The performance of the computer in one minute = 279.6x10⁸
= 2.70x10¹⁰ per minute
Thus, the performance of the computer in one minute is 2.70x10¹⁰ per minute after performing unit conversion.
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can someone help me
Answer:
The volume is 75
Step-by-step explanation:
because the volume is the width, length, and height, add them together.
Answer:
2700m
Step-by-step explanation:
you have to do L*W*H for both shapes then add
convert 3250 ml to L
Answer:
3250 milliliters transfers into 3.25 liters.
What is NOT a way to write 52 + 80?
A.
50 + 2 + 80
B.
(50 + 80) + 2
c.
50 + 80 + 2 + 8
D.
50 + 2 + 80 + 0
Answer: C
Step-by-step explanation: 50+2+80+8 is not right
Ahmed thinks: "√16 = 4 so √160 = 40" he is incorrect.
a. show that √160 is between 12 and thirteen is answered. the answer is 12.649110641.
b. write down the number of which 40 is the square root. this is what i want you guys to do please
Answer:
1600
Step-by-step explanation:
40 × 40 = 4 × 4 × 100 = 16 × 100 = 1600
(same amount of zeros behind the 1 as there are in the 40's together)
Find the slope of the line that passes through
the two given points: (2, 3) and (6, -13)
Answer:
-4
Step-by-step explanation:
-13-3=-16
6-2=4
-16/4=-4
Step-by-step explanation:
Hey there!
The points are; (2,3) as (X1,y1) and (6,-13) as (x2,y2)
Use the formula for slope.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{ - 13 - 3}{6 - 2} [/tex]
Simplify it to get answer.
[tex]m = \frac{ - 16}{4} [/tex]
Therefore, slope(m) = -4.
Hope it helps....
Maria bought a blouse on sale for 30% off. The sale price was $28.76. What was the original price? Write an equation to model the situation and solve it. Use variable p for the original price. Round to the nearest hundredth.
Answer:
The original price is 37.38
Step-by-step explanation:
I'm tired and don't want to explain too much but you get 30 percent then add that number to the first price.
The 3 in the 73.084 _ times the 3 in 65.732.
Answer:
it would be 3.0 times 0.03 so the answer is 0.9
20. A rectangle has a length of x + 2 meters and a width of 2x - 5. (A.APR.1)
A. Write an expression for the perimeter of the rectangle. Simplify your final answer.
B. Write an expression for the area of the rectangle. Simplify your final answer.
x + 2
2x - 5
A. Perimeter =
B. Area =
C. If x is 5, what is the perimeter? What is the area?
Rubric
2 pts - Two key elements are present
1 pt - One key element is present
O pts - No key elements are present
Answer:
A:
2(x + 2) + 2(2x - 5) =
2x + 4 + 4x - 10 =
6x - 6
perimeter = 6x - 6
B:
(x+2)(2x - 5) expand the brackets:
2x² - 5x + 4x - 10
area = 2x² - x - 10
C:
area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24
perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35
brainliest please? x
Suppose a granola bar company estimates that its monthly cost is
C(c) = 500x2 + 400% and its monthly revenue is
R(x) = -0.62% + 80022 – 300x + 600, where x is in thousands of
granola bars sold. The profit is the difference between the revenue and the
cost.
What is the profit function, P(x)?
A. P(x) = -0.623 + 1300x2 + 100x + 600
B. P(x) = 0.62+ 300x2 – 700x + 600
C. P(x) = -0.6x3 + 300x2 – 700x + 600
D. P(2) = 0.623 – 300x2 + 700x - 600
Answer:
C. P(x) = -0.6x3 + 300x^2 – 700x + 600
Step-by-step explanation:
The profit function is P(x) = -0.6x³ + 300x² - 700x + 600.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given,
Cost function, C(x) = 500x² + 400x
Revenue function, R(x) = -0.6x³ + 800x² - 300x + 600
Profit is the difference between the revenue and the cost.
Profit function is therefore the difference of revenue function and the cost function.
P(x) = R(x) - C(x)
P(x) = (-0.6x³ + 800x² - 300x + 600) - (500x² + 400x)
= -0.6x³ + 800x² - 300x + 600 - 500x² - 400x
= (-0.6x³) + (800x² - 500x²) + ( - 300x - 400x) + 600
= -0.6x³ + 300x² - 700x + 600
Hence the profit function of the granola bar company is P(x) = -0.6x³ + 300x² - 700x + 600.
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give a verbal description of (7, ∞)
A pallet full of soda contains 40 12-packs. The pallet itself weighs about 25 lbs and with
the pop weighs 410 lbs. How much does a can of pop weigh?
Answer:
0.802 lbs or 12.8 ounces(British).
Step-by-step explanation:
Weight of the pop = 410 - 25 = 385 lbs.
40 12-packs contains 40*12 = 480 cans,
So the weight of one can = 385 / 480
= 0.802 lbs
or about 12.8 ounces(British).
you have a blender mixed with raspberries,blueberries,ice, and water.Which of the following will NOT change when mixed together?
Answer: actually the mass
Step-by-step explanation: regardless on where you are the mass never change, it's the wait within a substance or a matter
