We find the probability of the standardized normal distribution as P(Z > 1.04) ≈ 0.1492, P(Z < -0.24) ≈ 0.4052, P(-1.96 < Z < 0) ≈ 0.4750.
a. To calculate P(Z > 1.04), we need to find the probability of the standardized normal distribution to the right of 1.04. Using a standard normal distribution table or a calculator, we can find this probability to be approximately 0.1492.
b. To calculate P(Z < -0.24), we need to find the probability of the standardized normal distribution to the left of -0.24. Using a standard normal distribution table or a calculator, we can find this probability to be approximately 0.4052.
c. To calculate P(-1.96 < Z < 0), we need to find the probability of the standardized normal distribution between -1.96 and 0. This represents the area under the curve between -1.96 and 0. Using a standard normal distribution table or a calculator, we can find this probability to be approximately 0.4750.
In a standardized normal distribution, probabilities can be calculated by referring to a standard normal distribution table or using statistical software. These probabilities represent the area under the curve of the distribution. In the case of P(Z > 1.04), we are looking for the probability of a value greater than 1.04. For P(Z < -0.24), we are looking for the probability of a value less than -0.24. Lastly, for P(-1.96 < Z < 0), we want the probability of a value between -1.96 and 0. These probabilities can be used to make inferences and perform statistical calculations based on the standard normal distribution.
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Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?
Answer:
is the recursive formula of the sentence 9940-994 1988
Answer: f(n + 1) = f(n) - 99.4, n ≥ 1
Step-by-step explanation:
1. let s be the set of all positive integers n such that n2 is a multiple of both 24 and 108. which of the following integers are divisors of every integer n in s ? indicate all such integers. a. 12 b. 24 c. 36 d. 72
We know that n^2 is a multiple of both 24 and 108, which means it must be a multiple of their least common multiple (LCM). The LCM of 24 and 108 is 216.
So, n^2 must be a multiple of 216. This means that n must be a multiple of the square root of 216, which is 6√6.
Therefore, every integer n in s must be of form 6√6 * k, where k is a positive integer.
To find the divisors of every integer n in s, we need to find the common factors of all such expressions.
We can express 6√6 as 2√6 * 3. So, every integer n in s can be written as 2√6 * 3 * k.
The divisors of every integer n in s must be factors of 2√6 and 3.
The factors of 2√6 are 1, 2, √6, and 2√6.
The factors of 3 are 1 and 3.
Therefore, the integers that are divisors of every integer n in s are 2 and 3, which are both positive integers.
So, the correct answer is none of the given options (a, b, c, d).
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What is the average of 120 km in 3 hours?
The average speed of the car is 40 km/hr.
It would take a car 3 hours to cover 120 km at a speed of 40 km/h.
The car moves for a time period of 3 hours.
The car has to travel a total distance of 120 km.
As we know the formula of speed is distance/time,
Hence, s = d/t km/hr
Let speed, distance and time be s, d, t respectively.
So by putting the values,
speed s = d/t = 120/3 = 40 km/hr.
Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.
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The sides of a square are 416 and nine what is the surface area
Answer:560cm\(^3\)
Step-by-step explanation:
(4x16)x2=128
(16x9)x2=288
(9x4)x2=144
128+288+144=560
Answer:
488
Step-by-step explanation:
Multiply every 2 sides . there r 3 sets of 2 sides, so times 2.
2*(4x16+16*9+4*9) = 2*(64+144+36) =488
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answer:
f(x) = -3x + 4Step-by-step explanation:
Given function:
9x + 3y = 12Putting this into slope-intercept form: y = mx + b
9x + 3y = 123y = -9x + 12y = -3x + 4Replacing y with f(x)
f(x) = -3x + 4pls help me <3 thank youuuuuuuuuuu
0ten random numbers are drawn from a uniform distribution on . what is the probability that at least one will exceed 4.55? round your answer to three decimal places.
The probability that at least one random number is greater than 4.55 is 0.718 (rounded to three decimal places).
The probability of at least one number exceeding 4.55 can be calculated as the complement of the probability that all ten numbers are less than or equal to 4.55.
The probability density function of a uniform distribution on the interval [0, 5] is:
f(x) = 1/5, 0 <= x <= 5
The probability that one number is less than or equal to 4.55 is given by:
P(X <= 4.55) = ∫₀⁴.₅₅ f(x) dx = ∫₀⁴.₅₅ (1/5) dx = (1/5) * (4.55 - 0) = 0.91
So, the probability that all ten numbers are less than or equal to 4.55 is:
P(X₁ <= 4.55, X₂ <= 4.55, ..., X₁₀ <= 4.55) = (0.91)^10 = 0.2824
Therefore, the probability that at least one number exceeds 4.55 is:
P(at least one number > 4.55) = 1 - P(all numbers <= 4.55) = 1 - 0.2824 = 0.7176
So the probability that at least one random number is greater than 4.55 is 0.718 (rounded to three decimal places).
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I am a 4 digit number larger than 2500. No two of my digits are the same. The product of the thousands digit and the hundreds digit is equal to the ones digit. The sum of my digits is 16
The 4-digit number will be 3256.
Let, the 4-digit number pqrs
p >= 2
p × q = s
so, 2 <= q <= 4 to allow a single digit result of p×q, and if q would be 1 or 0, the result would be either a copy of p or of q violating the rule that no 2 digits are the same.
that means p >= 3, because with p = 2 and q <= 4 the number can't be larger than 2500.
and that again means 2 <= q <= 3 and 3 <= p <= 4 to allow a single digit result of p×q.
the sum of "my digit" ? I guess you mean the sum of all digits is 16.
p + q + r + s = 16
so, our first guess :
p = 3
q = 2
therefore
s = 3×2 = 6
that means we have already 11 as sum of the digits, that leaves 5 for r.
so, the 4-digit number will be = 3256.
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The graph shows the percent changes tn the annual city tax revenue for five cities from 1990 to 1995 and from 1995 to 2000. If the annual tax revenue in City B was $800,000 in 1990, what was the annual tax revenue in City B in 2000 ? $578,000 $680,000 $782,000 $800,000 $920,000
The annual tax revenue in City B in 2000 was $578,000.
From the graph, we can see that City B experienced a percent change of -28% from 1990 to 1995 and a percent change of -32% from 1995 to 2000
To find the annual tax revenue in City B in 2000, we start with the revenue in 1990, which is given as $800,000.
First, we calculate the tax revenue after the percent change from 1990 to 1995:
Revenue in 1995 = $800,000 + (-28% of $800,000) = $800,000 - $224,000 = $576,000
Next, we calculate the tax revenue after the percent change from 1995 to 2000:
Revenue in 2000 = $576,000 + (-32% of $576,000) = $576,000 - $184,320 = $391,680
Therefore, the annual tax revenue in City B in 2000 is $391,680, which is closest to $578,000 from the given answer choices.
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Brennan has 1.7 kilograms of black pepper. He uses 75% of the pepper and splits it between 7 pepper shakers. How much pepper will be in each shaker.
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
how to find the first term of arithmetic sequence given the number of terms, the last term and the common differnece
To find the first term of an arithmetic sequence, use the formula: first term = last term - (number of terms - 1) * common difference.
To find the first term of an arithmetic sequence given the number of terms, the last term, and the common difference, you can use the following formula
First term = Last term - (Number of terms - 1) * Common difference
Here's how to use this formula
Identify the number of terms, the last term, and the common difference of the arithmetic sequence.
Plug these values into the formula.
Simplify the formula using order of operations (PEMDAS) to find the first term.
For example, let's say we have an arithmetic sequence with 10 terms, a last term of 50, and a common difference of 5. Using the formula above, we get
First term = 50 - (10 - 1) * 5
First term = 50 - 9 * 5
First term = 50 - 45
First term = 5
Therefore, the first term of the arithmetic sequence is 5.
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66666666 help me plz plz plz
Answer:
XY would also be 7 centimeters which is answer D.
Step-by-step explanation:
This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.
When the polynomial 5x+2-3x^2 is written in standard form, what are the values of the leading coefficient and the constant?
A. The leading coefficient is 5, and the constant is 2
B. The leading coefficient is -3, and the constant is 2
C. The leading coefficient is 2, and the constant is 5
D. The leading coefficient is 2, and the constant is -3
Answer:
C
Step-by-step explanation:
Answer:C
Step-by-step explanation:
Edge2021
A box has the shape of a rectangular prism with height 31 cm. If the height is increased by 0. 8 cm, by how much does the surface area of the box increase?
Use pencil and paper. Show your work. Then show a second way to solve the problem. Explain which way you like better and why.
39.52 cm² of the surface area of the box increase.
What is the rectangular prism?A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces).An object must have all six faces be rectangles, the opposite faces must be equal, and the cross-section throughout the length must be the same for it to be a right rectangular prism.Rectangular prisms have surfaces equal to the sum of their side areas, and their volumes are equal to their length times breadth times height.Given data :
H = 31 cm
the surface area of the box increase ;
= 2( 31 x 8.7 + 31 x 16 + 16 x 8.7) + 2 ( 31.8 x 8.7 + 31.8 x 16 + 16 x 8.7 )
= 2 ( 8.7 + 16 ) x ( 31.8 - 31 )
= 2 x 24.7 x 0.8
= 39.52 cm²
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Which number line shows the solution to 2/3x - 5 > 3
Answer:
Step-by-step explanation:
all equation of motion with examples
Answer:
It is described in terms of displacement, distance, velocity, acceleration, time and speed. Jogging, driving a car, and even simply taking a walk are all everyday examples of motion.
...
The three equations are,
v = u + at.
v² = u² + 2as.
s = ut + ½at²
Answer:
Answer is below. Hope this helps you!
Step-by-step explanation:
(i)v = u + at
(ii) s = ut + 1/2 *at²
(iii)2as = v²-u²
Examples:
A train starting from rest attains a velocity of 72km/h in 5 minutes. Assuming that the acceleration is uniform, find (i) the acceleration and (ii) the distance travelled by the train for attaining this velocity.
72km/h = 20m/s
(i) use v= u+ at
20 = 0 + a*300
20 = 5a
20 / 300= a
1/15 ms² = a
to find distance
use 2as= v²-u²
2 *1/15 * s = (20) - 0²
2/15s = 400
s = 400 * 15/2
s = 3000m = 3 km
a car accelerates with a uniform acceleration of 1m/s². it starts with a velocity of 18km/h and reaches 36 km/h in 5 seconds find the distance travelled.
18 km /h = 5m/s
36km/h = 10m/s
use - s= ut + 1/2at²
s = 5 * 5 + 1/2 * 1 * (5)²
s = 25 + 25/2
s = 37.5 meters
Nicole measured some distances on a map of Lassen Volcanic National Park. The scale on the map is 34
inch = 2 miles. What is the actual distance from Raker Peak to Hat Mtn?
Responses
A 4 miles4 miles
B 223
miles2 2 3 miles
C 214
miles2 1 4 miles
D 212
miles2 1 2 miles
E 3 miles
Performing a change of scale we will see that the actual distance is 4 miles.
What is the actual distance from Raker Peak to Hat Mtn?We know that the scale is:
3/4 inch = 2 miles.
And the distance that Nicole found on the map is (1 + 1/2) inches.
We can rewrrite the scale as:
1 inch = (4/3)*2 miles
1 inch = (8/3) miles.
Then the actual distance will be:
distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.
The correct option is A.
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PLEASE HELP PLEASE I BEG OF YOU ITS DUE IN 30 MINUTES
Answer:
3) (2,3) is the vertex
4) minimum value
5) vertex: (-1,5) axis of symmetry: -1 y-intercept: (0,3)
6) vertex: (-2,-3) axis of symmetry: -2 y-intercept:(0,1)
Step-by-step explanation:
the vertex is the coordinates at the very top or bottom of the parabola
PLZ HELP THIS IS TIMED
Answer:
150
Step-by-step explanation:
116
Step-by-step explanation:
area of triangle is b times h divide by 2then for square is b times h
4 4/7 divided by 4/7
Answer:
8
Step-by-step explanation:
brainly pls
I will give a brainliest
b) Find the equation of the trend line (line of best fit). Show your work. (2 points)
Answer:
Step 1:
Draw a graph - Put Customers on the x-axis and Tips on the y-axis
Equation of a line = mx + c
Then look for where the line crosses the x-axis (this is "c")
Choose two points and find the gradient using this formula:
Change in y/change in x
The number you just got is your "m"
Put it all together and you have y = Mx + C
Hope this helps please mark as brainliest :P
Step-by-step explanation:
Answer:
y = 1.86211x + 4.42878Step-by-step explanation:
Given data in the table added to scatter plot and line of best fit calculated using a graphing calculator.
See the attached graph.
The line of best fit is:
y = 1.86211x + 4.42878Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track?
Answer: 6.4 minutes
Step-by-step explanation:
400x4 = 1600
1600 / 250 = 6.4
True or false
When ice melts, it releases thermal energy.
Answer:true
Step-by-step explanation:
A figure had a perimeter of 112 what will the new perimeter be after dilation with scale factor of 1/4
The new perimeter of the rectangle after a dilation with a scale factor of 1/4 will be 28.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know the perimeter of a rectangle is 2(l + b).
Given, 2(l + b) = 112.
(l + b) = 112/2.
(l + b) = 56.
Now It has been dilated by a scale factor of 1/4, so the length and breadth will be (1/4)th of the original rectangle.
Therefore, (l/4 + b/4) = 56/4.
Now, 2(l/4 + b/4) = (56×2)/4.
2(l/4 + b/4) = 56/2.
2(l/4 + b/4) = 28.
So, The new perimeter of the rectangle will be 28.
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How do you find the slope of a perpendicular line with an equation and point?
First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.
By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.
m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
A line's slope often indicates the steepness and direction of the line.
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m = y/x = y/x = change in y/change in x
where "m" represents a line's slope.
Additionally, the slope of the line may be shown as
tan θ = Δy/Δx
It takes an ant farm 3 days to consume ½ of an apple. At that rate, in how many days will the ant farm consume 3 apples?
Answer:
6 days!
Step-by-step explanation:
1/2 x 6 = 3 !
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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Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The equation representing the given statement is ~
\(50x + 330 \geqslant 820\)The least number of lawns that he can cut and buy the computer is 10 lawns ~
\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)
Total savings should be greater or equal to $ 820 in order to buy the computer,
And his total savinga is equal to ~
Money he saved + money got from cutting lawns.
let's assume the lawns cut by Tyrod be x,
Money earned by cutting lawns is equal to
total number of lawns cut × $5050xtotal savings is equal to ~
330 + 50xhence,
\(50x + 330 \geqslant 820\)by solving for " x (number of lawns cut) " we get ~
\(50x \geqslant 820 - 330\)\(50x \geqslant 490\)\(x \geqslant 490 \div 50\)\(x \geqslant 9.8\)Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is
\(10\)Determine the slope and y-intercept of the line. y = 8.5x 6 a. slope = 6, y-intercept is (0, 8.5) c. slope = -8.5, y-intercept is (0, 6) b. slope = 6, y-intercept is (0, -8.5) d. slope = 8.5, y-intercept is (0, 6)
For equation of line y = 8.5x + 6: the slope = 8.5 and the y-intercept is (0, 6)
The correct answer is an option (d)
We know that the slope-intercept form of equation of line is:
y = mx + c
where m is the slope of the line
and c is the y-interecpt of the line
Here, the equation of the line is y = 8.5x + 6
Comparing equation of line y = 8.5x + 6 with the slope-intercept form of equation of line y = mx + c we get,
m = 8.5
and c = 6
Therefore, the slope = 8.5 and y-intercept = (0, 6)
The correct answer is an option (d)
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