The correct anwer is C I think... I hope That helps :)
||-//
Answer:
\(A : \frac{5}{8}\)
Step-by-step explanation:
Axis Interception points of \(\frac{5}{8}x - \frac{8}{7} :\) X intercepts: \((\frac{64}{35},0)\), Y intercepts: \((0, -\frac{8}{7})\)
Inverse of \(\frac{5}{8}x-\frac{8}{7}:\) \(\frac{56x+64}{35}\)
Slope of \(\frac{5}{8}x -\frac{8}{7}: m = \frac{5}{8}\)
Hope I helped, if so may I get Brainliest and a thanks?
Thank you, have a good one! =)
the weights of oranges growing in an orchard are normally distributed with a mean weight of 8 oz. and a standard deviation of 2 oz. from a batch of 1400 oranges, how many would be expected to weigh more than 4 oz. to the nearest whole number? 1) 970 2) 32 3) 1368 4) 1295
The number of oranges that are expected to weigh more than 4 oz is:
1400 - (1400 × 0.0228)≈ 1368.
The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.
From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.
\(z = (x - μ) / σ\)
Wherez is the Z-score of the given data point x is the data point
μ is the mean weight of the oranges
σ is the standard deviation
Now, let's plug in the given values.
\(z = (4 - 8) / 2= -2\)
The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.
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This is a subjective question, hence you have to write your answer in the Text Fidd given beiow Ine number of minutes spent by a clinician for each patient over a period of 2 hours is given below Find Mean, Standard deviation, Median,
The data represents the number of minutes spent by a clinician for each patient over a 2-hour period. To analyze the data, we can calculate the mean, standard deviation, and median.
To find the mean, we sum up all the values and divide by the total number of observations. The mean provides an average value of the time spent by the clinician per patient over the given period.
The standard deviation measures the dispersion or variability of the data. It quantifies how much the individual data points deviate from the mean. A higher standard deviation indicates more variability in the time spent by the clinician for each patient.
The median represents the middle value of the data set when it is arranged in ascending or descending order. It provides a measure of central tendency that is not affected by extreme values.
By calculating the mean, standard deviation, and median of the given data, we can gain insights into the average time spent, the degree of variability, and the central value of the clinician's time allocation for each patient over the 2-hour period.
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________ is a statistical measure of how much scores in a sample vary around the mean. multiple choice normal distribution standard deviation frequency accuracy
Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
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There are black and white counters in a bag in the ratio 20:17
There are 54
more black counters than white counters.
How many black counters are there?
There are 360 black counters and 306 white counter in 20:17 ratio.
Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:
B/W = 20/17
We also know that there are 54 more black counters than white counters, which means that:
B = W + 54
We can use substitution to solve for B. Substituting the second equation into the first equation, we get:
(W + 54)/W = 20/17
Cross-multiplying, we get:
17(W + 54) = 20W
Expanding the left side, we get:
17W + 918 = 20W
Subtracting 17W from both sides, we get:
918 = 3W
Dividing both sides by 3, we get:
W = 306
Now we can use the second equation to find B:
B = W + 54 = 306 + 54 = 360
Therefore, there are 360 black counters in the bag.
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An amusement park charges an admission fee of 50 dollars per person. The cost, (in dollars), of admission for a group of 5 people is given by the following.
Answer:
250 I think
Step-by-step explanation:
Try 250
SORRY If I am wrong
Assume you are running gradient descent, what will happen when the learning rate α is too small or too large? If you run gradient descent for 30 iterations with a=0.5 and compute J(θ) after each iteration. You find that the value of J(θ) increases over time. Based on this, how do you adjust the value of α to solve the problem?
The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.
According to the given information:
When running gradient descent,
The learning rate α determines the step size taken in each iteration toward the optimal solution.
If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.
If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.
In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.
This suggests that the algorithm is not converging and is overshooting the minimum.
To fix this,
The value of α can be adjusted by reducing it to a smaller value,
Such as 0.1 or 0.01.
This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).
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Let x be a random variable with pdf f(x) = 12/x^3 , x≥a. Find the value of the constant a (round off to second decimal place).
The value of constant a is 2.45.
To find the value of the constant a, we need to make sure that the pdf (probability density function) is properly normalized. The pdf must satisfy the following property:
∫[a, ∞] f(x) dx = 1
In this case, we have pdf:
∫[a, ∞] (12/x^3) dx = 12∫[a, ∞] (1/x^3) dx
= 12 [-1/(2x^2)]ₐ∞
= 12 * (1/(2a^2))
= 6/ a²
Therefore, to ensure that the integral is equal to 1, we need:
6/ a² = 1
Solving for a:
a^2 = 6
a = ±√6
Since x is always positive, we have a = √6 ≈ 2.45.
So, the constant a is equal to 2.45.
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It is given that the volume of the cylinder and the cuboid are the same. Find the value of x and give your answer correct to two decimal places. Jawapan / Answer: 7 cm 8 cm [3 markah/ 3 marks] For Examine Use
who can help me pls
Step-by-step explanation:
the radius of the circular base is 7/2=3.5 cm
the surface of the base is πr^2=π*(3.5)^2=38.465
volume of the cylinder is surface of the base*high
38.465*30=1153.95
the cuboid volume=8^2*x=64x
64x=1153.95
x=1153.95/65=18.03 cm=18 cm
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
Step-by-step explanation:
Let x be the smaller number. What is the larger number if we know that sum of the two numbers is
ur answer ? ur answer
could someone help me? the video doenst explain it
Personally, I would recommend reading this as a fraction, and splitting up mantissa from the power of 10. (Mantissa refers to the number 1.23 in \(1.23\times10^n\).)
\(\left(3.6 \times 10^{-5}\right) \div \left(9 \times 10^{-7}\right) = \dfrac{3.6 \times 10^{-5}}{9 \times 10^{-7}} = \dfrac{3.6}9 \times \dfrac{10^{-5}}{10^{-7}}\)
Now just reduce each fraction:
\(\dfrac{3.6}9 = \dfrac{36}{90} = \dfrac25 = 0.4\)
\(\dfrac{10^{-5}}{10^{-7}} = 10^{-5-(-7)} = 10^{-5+7} = 10^2\)
So
\(\left(3.6 \times 10^{-5}\right) \div \left(9 \times 10^{-7}\right) = 0.4 \times 10^2 = \boxed{4 \times 10^1}\)
since \(0.4\times10^2 = 0.4 \times 100 = 40 = 4 \times 10\).
How much water should be added to 3 gallons of pure alchohol in order to obtain a solution that is 15% alchohol?
plssssssssssssssssssssssssss help me give brainliest
say we're going to add "x" gallons of water, now how many gallons of alcohol is in pure water? well 0%, and 0% of "x" is (0/100) * x = 0.
the 3 gallons we know are 100% alcohol, how many gallons of alcohol is in it? well (100/100) * 3 = 3.
the resulting mix will have x + 3 gallons total and it's going to be 15% alcohol, how many gallons of alcohol is that? (15/100) * (x+3).
now, the amount of alcohol never increased, so the original 3 gallons of only alcohol will remain even after the water has been added, so.
\(\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{amount}\\ \cline{2-4}&\\ \textit{pure water}&x&0.00&0\\ \textit{pure alcohol}&3&1.00&3\\ \cline{2-4}&\\ mixture&x+3&0.15&0.15(x+3) \end{array} \begin{array}{llll} \\[3em] \leftarrow \textit{this amount}\\\\ \leftarrow \textit{must be equal to this one} \end{array} \\\\\\ 3 = 0.15(x+3)\implies 3=0.15x+0.45\implies 2.55=0.15x \\\\\\ \cfrac{2.55}{0.15}=x\implies 17=x\)
Based on the diagram below, what is the measure of arc DC ?
A 28 degrees
B 68 degrees
C 108 degrees
D 112 degrees
Given:
A diagram of a circle O, \(arc(AB)=y^\circ, arc(CD)=(80+y)^\circ\).
To find:
The measure of arc DC.
Solution:
According to the angle of intersecting chords theorem:
Angle at intersection of chords = Half of the sum of intercepted arcs.
Let \(\theta \) be the angle between the intersection of chords AC and BD.
\(\theta +112^\circ=180^\circ\) (Linear pair)
\(\theta =180^\circ-112^\circ\)
\(\theta =68^\circ\)
Using the angle of intersecting chords theorem, we get
\(\theta=\dfrac{arc(AB)+arc(CD)}{2}\)
\(68^\circ =\dfrac{y^\circ+(80+y)^\circ}{2}\)
\(136^\circ =(80+2y)^\circ\)
On simplification, we get
\(136=80+2y\)
\(136-80=2y\)
\(56=2y\)
Divide both sides by 2.
\(28=y\)
Now,
\(arc(DC)=(80+y)^\circ\)
\(arc(DC)=(80+28)^\circ\)
\(arc(DC)=108^\circ\)
Therefore, the correct option is C.
4. a picture can be added to a text in nine different locations on a page. if four different pictures are to be placed in the text, how many different designs are there?
As per the combination method, there are 3,024 different designs that can be created with four different pictures placed in nine different locations on a page.
There are seven options for the third picture and six options for the fourth picture.
To determine the total number of designs, we can use the multiplication principle, which states that the number of ways two or more independent events can occur together is equal to the product of the number of ways each event can occur individually.
Therefore, the total number of designs that can be created by placing four different pictures in nine different locations on a page can be found by multiplying the number of options for each picture:
9 x 8 x 7 x 6 = 3,024
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Find the center and radius of the sphere. x2 + y2+z2-4x-6y-6z = -6 C(-2, -3, -3), a = 4 C(2, 3, 3), a = 16 C(2, 3, 3), a = 4 O C(-2, -3, -3), a = 16
The center of the sphere is C(2, 3, 3), and the radius is a = √16 = 4. The correct option is C(2, 3, 3), a = 4
To find the center and radius of the sphere, we can rewrite the given equation in the standard form:
(x - h)² + (y - k)² + (z - l)² = r²
where (h, k, l) represents the center of the sphere, and r represents the radius.
Let's complete the square to convert the given equation into the standard form:
x² + y² + z² - 4x - 6y - 6z = -6
(x² - 4x + 4) + (y² - 6y + 9) + (z² - 6z + 9) = -6 + 4 + 9 + 9
(x - 2)² + (y - 3)² + (z - 3)² = 16
Therefore, the center of the sphere is C(2, 3, 3), and the radius is a = √16 = 4.
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I-ready math pls help
3.1x +3.1-4.2-2.1x what’s the simplest equation
The simplest equation for the given expression is x -1.1
Simplify simply means to make something simpler. Simply or simplification in mathematics means reducing an expression/fraction/problem to a simpler form. It simplifies the problem through calculations and problem-solving. It enables us to test each process and approach to determine which is the most efficient and best suited to its specific purpose.
Given that
3.1x + 3.1- 4.2 - 2.1x
= 3.1x – 2.1x + 3.1 – 4.2
= x – 1.1
Therefore x – 1.1 is the simplest equation for the given expression
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1. What is 50% of $736?
Answer:
$368
Step-by-step explanation:
What is 50% of $736?
50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)
We Take
736 x \(\frac{1}{2}\) = $368
So, 50% of $736 is $368.
What is the equation for continuous growth or compound interest
Answer: A = P(1 + \frac{r}{n})^{nt}
Step-by-step explanation: A = P(1 + \frac{r}{n})^{nt}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
From the web
The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.
7. Juan makes a deposit at an ATM and receives $50 in cash. His totaldeposit was $830. He did not deposit any coins. If he deposited checkswith three times the value of the currency he deposited, how much didhe deposit in currency and checks?
If he makes a deposit of of $830 dollars in a currency 3x the dollar, the amount, $830 will be equivalent to:
\(\frac{830}{3}\cong276.67\text{ units of the unknown currency}\)In that case, he deposited 276.67 units of the unknown currency in cheque
and 276 units in currency since coins are not an option.
guys i don't get this pls help.
Answer:
B.
Step-by-step explanation:vCuz when it's multiplied by a fraction the number gets smaller
9. What is the slope of the equation below?
y=-5 x + 9
Answer:
slope = - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 5x + 9 ← is in slope- intercept form
with slope m = - 5
Consider the complex number ^w = , where z = x+iy and I = square root of -1. a) If w = I, determine z in the form z = r cos theta. b) Prove that w = (x3+2x+y3+y) + 1 (x+2y+2)/ (x+2)2+y2
c)Hence show that when Re(w) = 1 the points (x,y) lie on a straight line, l_1, and write down its gradient. d)Given arg(z)= arg(w) = pie/4,
a) If w = I, then we can write w = 0 + I. This means that x = 0 and y = 1. Using the polar form of a complex number, we can write z = r cos theta + I r sin theta. Since x = 0 and y = 1, we can write z = r cos theta + I r sin theta = 0 + I. This means that r cos theta = 0 and r sin theta = 1. Since cos theta = 0, theta = pi/2. Therefore, z = r cos (pi/2) = I.
b) To prove that w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2, we can substitute the values of x and y from the equation w = x + I y into the equation and simplify.
w = (x^3+2x+y^3+y) + I (x+2y+2)/ (x+2)^2+y^2
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= (x^3+2x+y^3+y) + I (x+2y+2)/ (x^2+4x+4+y^2)
= w
Therefore, the equation is true.
c) When Re(w) = 1, this means that the real part of w is equal to 1. Therefore, x^3+2x+y^3+y = 1. We can rearrange this equation to get y^3+y = 1-x^3-2x. Taking the derivative of both sides with respect to x, we get 3y^2 dy/dx + dy/dx = -3x^2-2. Solving for dy/dx, we get dy/dx = (-3x^2-2)/(3y^2+1). This is the gradient of the line l_1.
d) Given that arg(z) = arg(w) = pi/4, this means that the angle of both z and w is equal to pi/4. Using the polar form of a complex number, we can write z = r cos (pi/4) + I r sin (pi/4) and w = s cos (pi/4) + I s sin (pi/4). Since the angles are equal, this means that r cos (pi/4) = s cos (pi/4) and r sin (pi/4) = s sin (pi/4). Therefore, r = s and z = w.
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PLEASE HELP!!!!!!!!!!!!!!!
Answer:
4 because 5 times 4 is 20 and 3 times 4 is 12
Answer:
c
switch them and then divide
Good luck:)
Help how to do it because this is hard
Please help. If CJ=8x+5 CT=55, and JT=4x+2 Find JT
Answer:
- 56
Step-by-step explanation:
JT = CJ + CT
4x + 2 = 8x + 5 + 55
4x + 2 = 8x + 60
4x - 8x = 60 - 2
- 4x = 58
x = 58/-4
x = -29/2
x = - 14.5
JT = 4x + 2 = 4(-14.5) + 2 = - 58 + 2 = - 56
A homeowner is financing the cost of new windows. Two lenders have approved the homeowner for a $12,000 loan. The terms of each loan are:
Offer 1: 4.5% annual simple interest, with a total account balance of $14,430 after a 54-month term
Offer 2: 3.75% annual interest compounded monthly for a 66-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest penny.
$204.88
$313.98
$767.12
$795.34
Answer:
not to sure but what im guesing for you is$ 204.88 maybeeeeeee
Step-by-step explanation:
Answer:
(B) $313.98
Step-by-step explanation:
Using the compound interest formula:
\(A=P(1+\frac{r}{n} )^{nt} \\\\A=12000(1+\frac{0.0375}{12} )^{12(5.5)\\\\\)
\(A= 12000(1+0.003125)^{66} \\\\A=12000(1.003125)^{66} \\\\A= 12000(1.228665)\\\\\\A= $14,743.98\)
Then we minus offer 2 from offer 1
$14,743.98 - $14,430 = $313.98
Therefore, the difference in account balances at the end of the loan terms is $313.98.
Note: the 5.5 came from converting months to years so 66 months = 5.5 years.
ANSWER ASAP PLS
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
= (2-4)/(-2+6)
= -2/4
= -1/2
now
y=mx+c
4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)
or,4= 3+c
therefore, c=1
now
y=mx+c
y= -1/2x+1
or, y = 1-x/2
Describe the transformations in each function as it relates to its parent function?
Answer:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: f(x)=(3)x
Horizontal Shift: Right 8 Units
Vertical Shift: None
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
Step-by-step explanation:
BRAINLIEST?
Please helpppppp!! Which equation applies the associative property of multiplication?
The equation that applies the associative property of multiplication is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).
What is the Associative Property of Multiplication?The associative property of multiplication can be defined as a property of equality which states that the product is some numbers remains the same regardless of how the factors are grouped in multiplication.
For example, according to the associative property of multiplication, (5 × 3) × 2 would give us the same product as what 5 × (3 × 2) would give us. Both would give a product of 30, irrespective of how they are grouped in multiplication.
Thus, (-9/4 * 3/2) * (6/3 * 5/7) would give the same product as -9/4 * (3/2 * 6/3) * 5/7).
Therefore, the answer is: B. (-9/4 * 3/2) * (6/3 * 5/7) = -9/4 * (3/2 * 6/3) * 5/7).
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I=prt,,5.00=.0125*1212p,,p=5.00/.0125*1212=?? Use the calculator\
whats the answer