Answer:
Step-by-step explanation:
1). Distributive Property of multiplication over subtraction (Distributing the 5 and the 2)
2). Communtative Property of Equality (Moving terms around)
Find the coefficient of determination, given that the value of the linear correlation coefficient, r, is –0.721.
The coefficient of determination is calculated as: 0.520.
How to Find the Coefficient of Determination?The coefficient of determination = the square of the correlation coefficient.
Given the following:
Value of the linear correlation coefficient (r) = -0.721
Therefore, we would have:
The coefficient of determination = (-0.721)²
The coefficient of determination = 0.520
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The difference of -10 and the product of p and q
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
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The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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On Friday, a local hamburger shop sold a combined total of 308 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
77
Step-by-step explanation:
x = hamburgers
3x = cheeseburgers
3x + x = 308
4x= 308
x = 77
Answer:
77
Step-by-step explanation:
GIVING BRAINIEST TO RIGHT ANSWER
does 2 + 2 = 4 or 6?
Answer:
2+2= 4 but 3+3 = 6
Step-by-step explanation:
please mark me brainliest
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in her district.
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Answer:
a) The minimum sample size is 601.
b) The minimum sample size is 2401.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
For this problem, we have that:
We dont know the true proportion, so we use \(\pi = 0.5\), which is when we are are going to need the largest sample size.
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)
This is n for which M = 0.04. So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.04\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.04}\)
\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2\)
\(n = 600.25\)
Rounding up
The minimum sample size is 601.
b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.
Now we want n for which M = 0.02. So
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}\)
\(0.02\sqrt{n} = 1.96*0.5\)
\(\sqrt{n} = \frac{1.96*0.5}{0.02}\)
\((\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2\)
\(n = 2401\)
The minimum sample size is 2401.
is my answer correct?
THE ONE-EYED JACK MINE INVESTIGATION
The abandoned One-Eyed Jack Mine is about 31 miles off the main road adjacent to the Salmon River Wilderness area. There is only a rutted dirt track left where the access road used to run. It is so steep that when we hiked up it we had to pause every fifty feet or so to catch our breath. It seemed impossible but 3- 5 miles further we found remnants of the old wagons, the mineshaft, and the mill. The gold ore found in this mine was embedded in quartz and prospectors used the mill to grind up the quartz and rinse it with acid in huge shallow vats that were agitated so that the gold would sink to the bottom and the quartz could be washed away.
One arrangement of equipment we noticed included a circular vat about 18 feet in diameter which must have been connected by a huge belt to a smaller circular drive wheel 10 feet in diameter. The distance between the wheel and the vat was 8 feet. The equipment had been partially pre-fabricated then carried up the hill piece by piece to be re-assembled on the spot. Just the belt to connect the vat to the drive wheel would have been a major burden. We wondered how many times they had to carry new ones up to replace it. Calculate the length of belt needed to go around the drive wheel and the vat.
Answer:
The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.
The circumference of the vat is 18 feet * 3.14 = 56.52 feet.
The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.
HELP PLEASEEE:)))) THIS IS ALGEBRA II BTWWW
Answer:
The answer is B
Step-by-step explanation:
I am 100% sure
Please help me with this!!!!!
An amount increased by 10% to 517.
What was the original amount?
Answer:
470
Step-by-step explanation:
x is the amount that represents 100 %
517 amount that represents 100%+10% increase = 110%
x = (517 *100) / 110 = 470 is the original amount
Please help
If m1 = 46°, what is m2?
A.
134°
B.
44°
C.
88°
D.
54°
Answer:
B. 44°
Step-by-step explanation:
That's it.
90° + 46° + 44° = 180°
Answer:
m2 = 44°.
Step-by-step explanation:
The sum of the measures of the angles of a triangle always equals 180°.
One of the angles is a right angle, so its measure is 90°.
Let n equal m2.
90+46+n=180
n=44
Therefore, m2 = 44°.
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
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Evaluate the expression a - 4 when a = -8
Answer:
-12
Step-by-step explanation:
To evaluate the expression the known value of a = -8 can be substituted in so the equation becomes -8 - 4.
From there the subtraction can be completed which equals -12. This can be visually seen on a number line if you look at -8 and move left 4 spaces.
The cows at the farm eat 5 3/5 hay everyday.The horses eat 1 5/6 as much as the cows. How bales of hay are the horses fed each day
Answer:
13 2/9
Step-by-step explanation:
Cows eats=5 3/5 Hays everyday
Horses eats=1 5/6 as much as the cow
=1 5/6 of what the cow eat+5 3/5
=1 5/6 × 5 3/5 + 5 3/5
=11/6×28/6+28/6
= 308/36+28/6
=308+168/36
=476/36
=13 8/36
=13 2/9
Expand and combine like terms.
(4b^2+ 3) (4b^2- 3) =
I need help guys thanks so much
Answer: A & C
Step-by-step explanation:
\(i=\sqrt{-1}\)
\(\sqrt{-1} *\sqrt{4} =\sqrt{-4}\)
You can also simplify the above by taking the -4 out of the radical
It becomes 2 x \(\sqrt{-1}\), which can be simplifed to C
? • (-10) = 90
I need a little help. If you can also explain that would help as well.
Answer:
\( - 9 \times - 10 = 90\)
Step-by-step explanation:
the answer is -9
hello, it's easy❤
answer is -9
A typical tip in a restaurant is 18% of the total bill.
If the bill is $90, what would the typical tip be?
Answer:
$16.20
Step-by-step explanation:
90 x .18 (Turn percent into decimal by moving decimal 2 places left)
$16.20
$16.20 in tips
hope this helps! :)
3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3)
If you know the answer I will give a hundred brainist
Answer:
18.09
Step-by-step explanation:2.4x2.4, then x3.14
Answer:
answers below
Step-by-step explanation:
If you are trying to find the area the answers are:
Earth= 289.52918
Saturn=6,532.5021
The formula for area for a sphere is:
4 x pie x r2
If you are trying to find the volume the answers are:
Earth=57.90584
Saturn=46,647.01596
The formula for volume for a sphere is:
4/3 x pie x r3
Also the radius (r) is half of the diameter, so you divide the diameter by 2.
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?
Answer: \(m\angle DE F=90^{\circ}\)
Step-by-step explanation:
The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).
The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).
Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).
In the diagram, is the perpendicular bisector of and the angle bisector of ∠CPD.
sin ∠BPD = and cos ∠CPN =
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A..
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URGENT !! EXTRA POINTS !!
What is the period of the graph?
A. 3
B. 8
C. 2
D. 4
The sinusoidal function has a period of 4 units. (Correct choice: D)
How to determine the period of a sinusoidal function
In this problem we have the representation of a sinusoidal function set on Cartesian plane, whose formula is introduced below:
y = A · cos (2π · x / T) + B
Where:
A - AmplitudeB - MidpointT - PeriodGraphically speaking, the period of the sinusoidal function is the horizontal distance between two consecutive upper peaks or between two consecutive lower peaks. By direct inspection, we conclude that the period of the sinusoidal function is 4 units.
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Simplify the expression: 4(9c − 7)
Answer:
36c - 28
Step-by-step explanation:
4(9c − 7)
Distribute
4 * 9c - 4*7
36c - 28
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
–2, –1, 1, and 3 only
–6, -2,-1, 1 and 3 only
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
The correct answer is D.
The function f(x) has some specific characteristics as shown in the graph.
The graph of f(x) has five intercepts, as can be seen from the graph.
The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.
The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.
At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.
The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.
Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).
This can be deduced from the symmetry of the graph about the origin.
Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.
At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
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determine whether the angle vector v makes with vector u is acute, obtuse, straight, a right angle, or whether v is a vector in the same direction as u. uv
The angle that the vector "v = 9i + 8j - 4k" makes with the vector "u = 6i - 4j - k" is Acute Angle .
To determine the angle between two vectors, we need to find the dot product of the vectors and divide it by the product of their magnitudes.
If the result is positive, the angle between the vectors is acute, if it's negative the angle is obtuse, and if it's zero, the angle is a right angle.
In this case, the dot product of vectors "u" and "v" is:
⇒ (6i - 4j - k) . (9i + 8j - 4k) = 54 - 32 + 4 = 26 ;
The magnitude of vector "u" is = √(6² + (-4)² + (-1)²) = √(36 + 16 + 1) = √53
The magnitude of vector "v" is = √(9² + 8² + (-4)²) = √(81 + 64 + 16) = √161
So, the Cosine (Cos) of angle between two vectors "u" and "v" is:
⇒ Cos(θ) = 26/(√37 × √145) = 26/√5365 .
Since the value of Cos(θ) is positive, the angle between the vectors is acute. This means the vectors "u" and "v" are pointing in somewhat similar directions, but not exactly the same direction.
The given question is incomplete , the complete question is
Determine whether the angle vector "v" makes with vector "u" is acute, obtuse, straight, a right angle, or whether "v" is a vector in the same direction as "u" . u=6i-4j-k and v=9i+8j-4k .
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someone help please me with all 3 questions:) marking brainlist!!
Answer:
Step-by-step explanation:
1.) No. of student who can play an instrument= 20÷100×1,080 =0.2×1,080 = 216
2.) Minimum rate Sheila can work in =20 problems÷ 5 mins= 4 problems/min
3.) 75%
FOR A BRAINLIST PLEASEEEEEEEEEEEE HELP MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answer: 4/20, or 1/5
Step-by-step explanation: since there are 4 orange, and 20 total, then if you were to draw an orange it would be 4/20(this is very basic probability)
Answer:
A
Step-by-step explanation:
pretty sure thats it