The area between z = 0 and z = 1.98 under the standard normal curve is approximately 0.4767.
To find the area between z = 0 and z = 1.98 under the standard normal curve, we can use a standard normal distribution table or a calculator. The standard normal distribution table provides the area to the left of a given z-score.
Looking at the table, we find that the area to the left of z = 0 is 0.5000 (or 0.5000 in decimal form). This represents the area under the standard normal curve to the left of z = 0.
Similarly, the area to the left of z = 1.98 is given as 0.9767 (or 0.9767 in decimal form) in the standard normal table.
To find the area between z = 0 and z = 1.98, we subtract the area to the left of z = 0 from the area to the left of z = 1.98:
Area = Area to the left of z = 1.98 - Area to the left of z = 0
= 0.9767 - 0.5000
= 0.4767
Therefore, the area between z = 0 and z = 1.98 under the standard normal curve is approximately 0.4767 (rounded to four decimal places).
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Help me to answer this.
Answer:
A
Step-by-step explanation:
Sidney bought some treats for her puppy. She bought 5 packs of crunchy treats and 7 bags of soft treats. There were 6 crunchy treats in each pack and 8 soft treats in each bag. How many treats did Sidney buy in all?
There are 86 treats did Sidney buy in all.
We have to given that;
Sidney bought some treats for her puppy.
And, She bought 5 packs of crunchy treats and 7 bags of soft treats.
Since, There were 6 crunchy treats in each pack and 8 soft treats in each bag.
Hence, Total crunchy treats in 5 packs are,
= 5 x 6
= 30
And, Total soft treats in 7 bags are,
= 8 x 7
= 56
Therefore, Total number of treats did Sidney buy in all is,
⇒ 56 + 30
⇒ 86
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y = -82 - 3
2+y=7
Is (3, 4) a solution of the system?
Choose 1 answer:
Yes
No
Answer: No. The answer to this system is y=−85 and y=5, and if you plot that and (3,4) on a graph (I did it on desmos), you will see that it is one square down from the system, meaning it is not a solution to the system. Hope this helps and have a great day!
Marielle volunteered to help make costumes for her school play. She was given the task of cutting a roll of ribbons into 5 and 1/3 inch lengths. These small ribbons would then be made into bows. How many bows could be made from a roll of ribbon 192 inches long?
researchers studying meditation contacted over 1{,}0001,0001, comma, 000 randomly selected adults in 101010 nations. the results showed that those who meditated on a regular basis were less likely to suffer from stress than adults who meditate less regularly or not at all. can we conclude that meditating caused the lower stress? why?
Not necessarily, because this was not an experiment.
In my opinion, Yet scientific evidence from case studies, surveys of meditator experiences, and historical studies is emerging to show that meditation can be associated with stress, negative effects, and mental health problems. Meditation can induce a state of deep relaxation and a calm mind. During meditation, you focus your attention and eliminate the stream of disorganized thoughts that can fill your mind and cause stress. This process can lead to increased physical and emotional well-being.
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A statistically significant F test means that at least one variable in the model is statistically significant, but that does not mean that all of the variables in the model are statistically significant.
Select one: True False
A high p value (greater than alpha) indicates a significant predictor in the regression.
Select one:True False
1) A statistically significant F test means that at least one variable in the model is statistically significant, but that does not mean that all of the variables in the model are statistically significant.
Select one: True
2) A high p-value (greater than alpha) indicates a significant predictor in the regression.
Select one: False
In statistics, a process known as test static is used to determine the significance of the observed result. A hypothesis test is also used for this test. Everywhere in statistical analysis, the P-value or probability value notion is applied. It establishes the statistical significance and significance testing measure. Let's go into detail about the P-value's definition, calculation, table, interpretation, and how to utilise it to determine the significance level, among other things, in this post.
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4. What should be the minimum yield value of the key material for the key to smoothly transmit the torque of the shaft? However, the yield stress (Oc) of the shaft is 36kg/m². the diameter of the shalts 80mm, and the safety factor is 2. The dimensions of the key are 20x20x120mm De 2T
The minimum yield value of the key material should be determined based on the yield stress of the shaft, which is 36 kg/m², the dimensions of the key, and the safety factor of 2.
To ensure that the key smoothly transmits the torque of the shaft, it is essential to choose a key material with a minimum yield value that can withstand the applied forces without exceeding the yield stress of the shaft.
The dimensions of the key given are 20x20x120 mm. To calculate the torque transmitted by the key, we need to consider the dimensions and the applied forces. However, the specific values for the applied forces are not provided in the question.
The safety factor of 2 indicates that the material should have a yield strength at least twice the expected yield stress on the key. This ensures a sufficient margin of safety to account for potential variations in the applied forces and other factors.
To determine the minimum yield value of the key material, we would need additional information such as the expected torque or the applied forces. With that information, we could calculate the maximum stress on the key and compare it to the yield stress of the shaft, considering the safety factor.
Please note that without the specific values for the applied forces or torque, we cannot provide a precise answer regarding the minimum yield value of the key material.
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1.) ∠7 and the union of what two angles will form vertical angles?
2.) What is m∠6 if m∠4 = 30?
Answer:
1. The union of angle 3 and angle 4
2. Angle 6 = 30°
Consider and angle with its vertex at the origin, one side on the x axis and one side passing through the point (x,y). The cosine of the angle is 21/29. Find the since and tangent of the angle.
Therefore , the solution of the given problem of angle comes out to be tangent is approximately 0.952 and its sine is roughly 0.729.
An angle meaning is what?An angle is a shape in Euclidean geometry made up of two angles, or circular faces, that divide at the centre of the wall and the wall's apex. At their intersections, two rays can join to form an angle. Angle is another outcome of two entities interacting. They are known as dihedral angles. A two-dimensional curve can be created by arranging two line beams in various ways at their ends.
Here,
We must ascertain the values of y and x in order to determine the sine and tangent of the angle. We are aware of:
=> √(x² + y²) * cos(θ) = x/h * 21/29
When we square both edges, we obtain:
=> x² / (x^2 + y²) = 441/841
The result of multiplying both parts by (x² + y²) is:
=> x²= (441/841) (x²+ y²)
If we simplify, we get:
=> (400/841) x² = (441/841) y²
The result of dividing both parts by (441/841) is:
=> (400/441) x²/ y² = 1
=> (y/x)² = 400/441
When we square the two edges, we obtain:
=> y/x = ±(20/21)
=> y/x = 20/21
Therefore,
sin(θ) = y/√(x² + y²) = (20/21) / √(1 + (20/21)²) ≈ 0.729
=> tan(θ) = y/x = 20/21 ≈ 0.952
As a result, the angle's tangent is approximately 0.952 and its sine is roughly 0.729.
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Given a normal distribution with µ = 100 and σ = 10. Between what two X values (symmetrically distributed around the mean) are 80% of the values?
In a normal distribution with a mean (µ) of 100 and a standard deviation (σ) of 10, approximately 80% of the values lie between the X values that are symmetrically distributed around the mean.
In a normal distribution, the area under the curve represents the probability of observing a value within a certain range. To find the X values between which 80% of the values lie, we need to determine the corresponding z-scores. The z-score represents the number of standard deviations a value is from the mean.
To find the z-scores, we use the z-table or a statistical calculator. Since we want to find the range that includes 80% of the values, we need to find the z-scores that correspond to the area of 0.1 on each tail of the distribution. The area between the mean and one z-score is 0.5, so we subtract 0.5 - 0.1 = 0.4.
Looking up the z-score for an area of 0.4 in the z-table, we find a z-score of approximately 0.253. To find the corresponding X values, we use the formula X = µ + (z * σ). For the lower X value, X = 100 + (0.253 * 10) = 102.53. For the upper X value, X = 100 - (0.253 * 10) = 97.47. Therefore, approximately 80% of the values are between 97.47 and 102.53, symmetrically distributed around the mean of 100.
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. Identify the corresponding frequency table with intervals of 5. 3, 18, 6, 14, 8, 10, 1, 10, 4, 17, 8, 11, 17, 4, 8, 14, 14, 10
HELP MEEEE I DONT UNDERSTAND PLS EXPLAIN
Answer:
y = 3x
Step-by-step explanation:
12x = 4y is the same as
4y = 12x Now divide both sides by 4
y = 3x
What current density would produce the vector potential, A = k Î¦Ë (where k is a constant), in cylindrical coordinates?
The current density vector Jz that would produce the given vector potential A in cylindrical coordinates is Jz = -k/c r sin(θ).
The current density required to produce the given vector potential A = kΦ is J_φ = k (∂Φ/∂ρ), where Φ is the magnetic flux.
First, let's define the cylindrical coordinates:
r = r(theta, z)
θ = θ(theta, z)
z = z
Now, we need to find the vector potential A = k Φ. Using the right-hand rule, we can determine the direction of the vector potential as the direction of the positive z-axis.
The curl of A in cylindrical coordinates is given by:
curl(A) = (1/r)(∂/∂r)(rA) + (1/rsin(θ))(∂/∂θ)(Asin(θ)) + (1/sin(θ))(∂/∂z)(Acos(θ))
Since we want A = k Φ, we have kA = -1/r(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z).
Substituting the expression for A, we get:
k(1/r)(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1
Now, we need to find the divergence of the magnetic field B, which is given by:
div(B) = (1/r)(∂B/∂r) + (1/rsin(θ))(∂B/∂θ) + (1/sin(θ))(∂B/∂z)
Using the Biot-Savart law, we can find the magnetic field B in cylindrical coordinates. The magnetic field is given by:
B = (1/4π)∫(J(r',θ',z') x r') x r dA'
where J(r',θ',z') is the current density vector.
We can substitute the expression for J in cylindrical coordinates and simplify the integral to obtain:
B = (1/4π)∫[(-1/r)(∫z' J(r',θ') dθ')r') - (1/sin(θ'))(∫z' J(r',θ') dz')] x r dA'
Now, we need to find the current density vector J. Using the Maxwell-Ampere law, we can find the curl of the electric field E in vacuum, which is given by:
curl(E) = -∂B/∂t
Substituting the expression for E in cylindrical coordinates, we get:
curl(E) = -∂B/∂t = (1/c) ∂(Jz)/∂t
where c is the speed of light in vacuum.
Now, we can substitute these expressions for B and curl(E) into the equation for the magnetic field and simplify to obtain:
k(1/r)(∂A/∂r) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1
(1/c)(∂(Jz)/∂t) - 1/rsin(θ)(∂A/∂θ) - 1/sin(θ)(∂A/∂z) = -1
Solving these two equations simultaneously, we can find the constants k and Jz. Once we have these values, we can substitute them into the expression for the vector potential A to obtain:
A = k r sin(θ) + Jz/c
Therefore, the current density vector Jz that would produce the given vector potential A in cylindrical coordinates is Jz = -k/c r sin(θ).
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PLEASE HELP WILL MARK BRAINLIEST
Answer:
First one: Rotation
Second one: Translation
Third one: Reflection
Fourth one: Translation
Step-by-step explanation:
Answer:
CABAI hope I helped you!
I REALLY NEED HELP! I will mark u Brainiest!!!!
The data shows the number of years that 30 employees worked for nc insurance company before requirement. _____ is the population mean for the number of years worth, and _____ % of the employees worked for the company for the last 10 years. (round off your answers to the nearest integer.)
Answer:
population mean: 14
employees worked: 73%
Step-by-step explanation:
The mean is found by adding the years of service and dividing by the number of employees. The total years of service is 417, so the average is ...
average years worked = 417/30 = 13.9 ≈ 14 . . . years
__
The percentage of employees that have worked there at least 10 years is found by counting the number with 10 or more years of service and dividing that count by the total number of employees. The result is then expressed as a percentage.
(10 years or over)/(total number) = 22/30 = 0.73_3 (a repeating decimal) ≈ 73%
_____
Comment on the working
A spreadsheet can be helpful for this. It has a function that can calculate the mean for you. Sorting the years of service into order can make it trivially easy to count the number that are 10 or more, or you can write a function that will do the count for you. (Also, less than 10 means the years are a single digit. There are 8 single-digit numbers in your list.) The hard part is copying 30 numbers without error.
What is the standard deduction used for? a. the standard deduction is the minimum size a deduction can be to be counted. b. the standard deduction is claimed automatically, before other deductions are calculated. c. the standard deduction is the minimum deduction that anyone may claim. d. the standard deduction is the maximum allowable deduction. please select the best answer from the choices provided a b c d
The standard deduction used for the minimum deduction that anyone may claim.
What is standard deduction?
Non-itemizers may deduct the standard deduction from their income before income tax is calculated. Taxpayers can select between itemized deductions and the standard deduction; nevertheless, they typically choose for the option that lowers their overall tax liability.
The standard deduction is a set sum of money that lowers the amount of income that is subject to taxation. The total of the basic standard deduction plus any additional standard deductions for old age or blindness constitutes your standard deduction.
Therefore, the standard deduction used for minimum deduction that anyone may claim.
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Two angles are complementary. Angle 1 has a
measure of -5x + 3 and Angle 2 has a measure
of 10x + 12. What is the value of x?
Help please I don’t understand
Dr. Keller has a bookcase in her office with three shelves each shelf has the same number of books on it there are 23 books on the top shelf what is the total number of books on Dr. Keller’s bookcase
Answer:
69
Step-by-step explanation:
23 on each shelf x 3 shelves = 69 books
ILL MARK BRAINLIEST !!!
29.
Select the three statements that are true.
a. -11 > -6
b. -5 > -7
c. -4 > -6
d. -9 > 7
e. 8 < -1
f. -5 < -4
Answer:
BCF is the correct answer
Answer:
b, c, and f
Step-by-step explanation:
because on the negative scale -5 is closer to 0 than -7, -4 is closer to 0 than -6, and -4 is closer to 0 than -5. So in this case b, c, and f are true because it is greater than. Sorry if I explained it badly, but im pretty sure its b, c, and f.
The American Hospital Association stated in its annual report that the mean cost to community hospitals per patient per day in U.S. hospitals was $1231 in 2007. In that same year, a random sample of 25 daily costs in the state of Utah hospitals yielded a mean of $1103. Assuming a population standard deviation of $252 for all Utah hospitals, do the data provide sufficient evidence to conclude that in 2007 the mean cost in Utah hospitals is below the national mean of $1231? Perform the required hypothesis test at the 5% significance level.
We can conclude that the null hypothesis is rejected. There is sufficient evidence to support the claim that the mean cost in Utah hospitals is below the national mean of $1231.
How is this so?H₀: μ ≥ 1231 (The mean cost in Utah hospitals is greater than or equal to the national mean)
Hₐ: μ < 1231 (The mean cost in Utah hospitals is below the national mean)
Given
Sample mean (x) = $1103Sample size (n) = 25Population standard deviation (σ) = $252Significance level (α) = 0.05The test statistic for a one-sample t-test is given by
t = (x - μ) / (σ / √n)
Substituting we have
t = (1103 - 1231) / (252 / √25)
≈ -6.103
To determine the critical value, we need to find the critical t-value at the 5% significance level with degrees of freedom
(df) equal to (n - 1)
= (25 - 1)
= 24.
Using a t-distribution table or calculator, the critical value is approximately -1.711.
Since the calculated test statistic (-6.103) is smaller than the critical value (-1.711) and falls into the critical region, we reject the null hypothesis.
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6. A landscaping company is trying to create a formula to predict the amount of time, t, required to mow a yard based on the area of the yard, A, the speed of the mower, v, and the width of the mower, w. One employee suggests a formula of t = 1.15 * A/(vw) Does this formula make sense? Explain .
Answer:
The formula makes sense
Step-by-step explanation:
For illustration purposes, we will assume the yard is a rectangle ( such assumption does not in any way invalid the arguments that follows
Dimensions of the yard
L = 10 m
w = 4 m
A = 40 m²
Arguments:
1.- The required time (t) is proportional to the area (A). That means ( keeping all parameters fixed but Area ) we need more time to mow a bigger area yard. Then t ∝ A
You can see that if the yard is 40 m² you will take let´s say 0,5 day and you will need more time if the area is 100 m² ( it seems obvious )
2.- Let´s now assume the width of the mower is 1 m if you move along the length you will need to go forward and backward 4 times. Now think about a mower of 4 m ( it does not matter if that machine exists or no, is just a mental experiment) in that case you only need one pass, then the required time is inversely proportional to the width of the mower. That means a bigger width of the mower minor required time. Then t ∝ 1/w
3.-If now we keep the width of the mower but increased the speed of the machine we will reduce the working time. Time is an inversely proportional function of the speed of the machine since each required pass will take less time. Then t ∝ 1/v
We have evaluated three parameters A, w, and v ( area, the width of the mower, and speed ) and demonstrated the way each of these parameters influences the time, so far we don´t know how much each of them contributes in the total output, for that we have to measure and get conclusions, Furthermore coefficient 1,15 (in formula seems to take into account the hole combinations of the factors)
How many cubes are needed to make this structure?
A.16
B.17
C.18
D.15
you would need C.) 18 cubes
Answer:C.18
Step-by-step explanation:
Which graph has a rate of change of zero?
Answer:
The line on the graph would be a flat line
Step-by-step explanation:
The line would not move up or down at all.
Answer:
A graph having a constant rate of change equal to zero means that the value of y is constant. A graph with slope zero is a horizontal line.
solve quickly please
Answer:
44
Step-by-step explanation:
3x-5+x+1=180 [linear pair]
4x-4=180
4x=176
x=44
HELP PLEASE 10 POINTS AND BRAINLIST FOR ANSWER!
What is the weight of a square if a triangle weighs 4 grams? Explain your reasoning
Answer:
2 grams
Step-by-step explanation:
One can see that the given diagram is that of a balancing scale, meanig that both sides are equal to each other. Therefore, if one calls the weight of the triangle (t), then one can form an equation. Keep in mind that it is given that the square weighs (4) grams, and therefore, the square doesn't need a variable representation.
t + 4 + 4 = t + t + t + 4
Simplify,
t + 8 = 3t + 4
Inverse operations,
t + 8 = 3t + 4
-4 -4
t + 4 = 3t
-t -t
4 = 2t
/2 /2
2 = t
Answer:
2 grames
Step-by-step explanation:
Cuál es el poligono regular cuyo ángulo interno mide 220°?
Based on the calculation done, one can't have a negative number, thus, the regular polygon does not exist.
Which is the regular polygon with an interior angle of 220°?For a regular polygon of N sides, the measure of each interior angle is:A = (N - 2)*180/N
Here we want to have an interior angle of 220°, then we need to solve the equation:220° = (N - 2)*180/N
For N, so let's do that: N*220° = (N - 2)*180°We can see that this equation has no solution for N integer:
N*220° = N*180° - 360°N*220° - N*180° = -360°N*40° = -360°N = -360°/40° = -9
We can't have a negative number, thus, the regular polygon does not exist.
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What are two equivalent fractions for 4/12??
Answer:
g
Step-by-step explanation:
g
factorise fully
16(a+b)(a+b)-1
Answer:
(4a +4b +1)(4a+4b -1)
Step-by-step explanation:
Identity: (x + y)(x - y) =x² - y²16 (a + b)(a + b) - 1 = 4²*(a+b)² - 1
= [4(a+b)]² - 1²
Here, x = 4(a+b) and y = 1
= [4(a+b) -1] [4(a+b) + 1]
= [4a+4b - 1] [4a+ 4b + 1]
An adults heart beats about 2100 times every 30 minutes.A baby beats about 2600 times every 20 minutes. How many more heart beat i 60 minutes than an adults hearts?
Given :
An adults heart beats about 2100 times every 30 minutes.
A baby beats about 2600 times every 20 minutes.
To Find :
How many more heart beat baby have than adult in 60 min .
Solution :
Now , total number of heart beats of adult in 60 min , \(T_a=2100\times 2=4200\)
Also , total number of heart beats of adult in 60 min , \(T_b=2600\times 3=7800\)
Difference between them , \(7800-4200=3600\) beats .
So , baby have 3600 more heart beats than adult .
Hence , this the required solution .