z-table value that represents an area less than 0.5 corresponds to a positive z-score, which indicates that the corresponding value is to the right of the mean.
What is standard normal curve ?
A standard normal curve is a specific type of normal distribution with a mean of 0 and a standard deviation of 1. It is also called a standard Gaussian distribution.
The standard normal curve is bell-shaped and symmetric, and it is widely used in statistical analysis and hypothesis testing. It is often used to represent the distribution of random variables that have been standardized, or transformed to have a mean of 0 and a standard deviation of 1.
According to the question:
A z table value for the area under the standard normal curve that is less than 0.5 will have a C. positive z score.
The standard normal distribution has a mean of 0 and a standard deviation of 1, and it is a symmetric distribution. The area under the curve to the left of the mean is 0.5, and the area to the right of the mean is also 0.5.
Since the distribution is symmetric, the area to the left of the mean is equal to the area to the right of the mean. Therefore, any z-table value that represents an area less than 0.5 corresponds to a positive z-score, which indicates that the corresponding value is to the right of the mean.
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b) Taxi fares cost 30% more at night.
How much does a $9 daytime journey cost at night?
At an online bookstore, Alicia downloads 3 books for $9 each and 2 magazines for $4 each. Write an expression that represents the total amount of money she spends.
Answer:
(9×3)+(4×2)
Step-by-step explanation:
Let a represent the price of books
Let b represent the price of magazines
Alicia purchase 3 books for $9
She also purchased 2 magazines for $4
(9×a) +(4×b)
= (9 ×3) + (4×2)
= 27+8
= 35
evaluate the definite intergral integral from (0)^(pi/3) (sec^2 x 3 x)dx
From the addition rule of integral, the evaluate value of the definite integral,\(\int_{0}^{\frac{\pi }{3}} (sec²x + 3x )dx \), is equals to the \( \sqrt{3} + \frac{π²}{6}\).
Definite integral of f(x) is a number and represents the area under the curve of a function f(x) from x=a to x= b.
If function is strictly positive, the area between it and the x-axis is equals to value of the definite integral. If it is negative, then area is -1 times the value of definite integral.We have an definite integral, \(\int_{0}^{\frac{\pi }{3}} (sec²x + 3x )dx \). We have to evaluate it's value. Using the addition rule of integral, \(\int_{0}^{\frac{\pi }{3}}(sec²x + 3x )dx = \int_{0}^{\frac{π}{3}} sec ²x dx + \int_{0}^{\frac{π}{3}} 3xdx \).
Apply the general integral rules and the fundamental theorem of integrals,
\( = [tan(x)]_{0}^{\frac{π}{3} }+ 3\int_{0}^{\frac{π}{3}}xdx ( using the trigonometric rule in indefinite integral, \( \int sec² u du = [tan(u) + C] \))
\( = [tan(\frac{π}{3}) - tan(0) ]+ 3 [\frac{x²}{2}]_{0}^{\frac{π}{3}}\) ( from the indefinite integral using the expontent rule, \( \int u^{n }du = \frac{u^{n + 1}}{n + 1} + C] \))
\( = \sqrt{3} + \frac{3}{2}(\frac{π}{3})²\)
\( = \sqrt{3} + \frac{π²}{6}\).
Hence, required value is \( \sqrt{3} + \frac{π²}{6}\).
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Complete question:
Evaluate the definite intergral integral from \(\int_{0}^{\frac{\pi }{3}} (sec²x + 3x )dx \).
What is the interest practice of combining campaign contributions from several sources into one larger contribution from the group, so as to increase the groups impact on the candidate
The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.
Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.
This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.
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construct a quadrilateral Zeus in which NE=7 cm ,EW = 6 cm <N=60° , <E=110° and <S=85°
Answer:
look it up online
Step-by-step explanation:
look it up online
Answer:
Hello didi
Step-by-step explanation:
I am changing my account
so can u tell me how I sellect as friend on this app
so didi my new id is of nature lover
6 x 87 is greater than 5 x 87. How much greater? Explain how you know without multiplying.
Answer:
6 is 1 bigger than 5
Step-by-step explanation:
Answer:
oasdkopdpoasdkpoadkaopsdkposposdadas
Step-by-step explanation:
Tina paid $6.60 for some $0.15 stamps and some $0.20 stamps. She bought 37 stamps in all. How many of each kind did she buy?
PLS HELP
Answer:
1 set of A= $0.15
1 set of B= $0.20
Total Stamps bought = 37
Total purchase = 37
Let X= Set A of $0.15 each
Y= Set B of $0.20 each
x+y = 37----------X=37-Y
0.15X + 0.20Y = 6.60
0.15(37-Y) + 0.20Y = 6.60
5.55- 0.15Y + 0.20Y =6.60
0.05 Y = 6.60-5. 55
Y=1.05/ 0.05= 21
X= 37-21= 16
Help me and I'll give brainlist to you!!!!!!!!
Answer:
d
Step-by-step explanation:
We just need to use the formula:
c = 3.14(r)²
So we can insert the radius here
c = 3.14(7)²
c = 3.14(49)
c = 153.86
So your answer is d.
Where does the line 3x + 7y = 2 intersect the x- and y-axis?
A- x-axis: 32; y-axis: -72
B- x-axis: 23; y-axis: -27
C- x-axis: 32; y-axis: 72
D- x-axis: 23; y-axis: 27
Mario zombie walks at a rate of 2 miles per hour looking for a brainy snack. If it looks 514 hours, how many miles will it walk?
Answer:
1,028 miles
Step-by-step explanation:
multiply 514 by 2
Answer:
1028
Step-by-step explanation:
You just times 514 by two, because if it took 514 hours and every hour he goes 2 miles he would have went 1028 miles. :)
Find the measure of the angle O. (Remember, you are finding the actual angle measure, not the ratio.)
Round to the nearest tenth.
Answer:
Θ ≈ 22.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{12}{13}\) , thus
Θ = \(cos^{-1}\) (\(\frac{12}{13}\) ) ≈ 22.6° ( to the nearest tenth )
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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I just need level two and three solved please
Answer:
intercepts: (0, 5/2) or (-5, 0)arbitrary point: (7, 6)Step-by-step explanation:
You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).
InterceptsWriting the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -2 = 1/2(x -(-1)) . . . . . using given slope and point
2y -4 = x +1 . . . . . . . . . . multiply by 2
x -2y = -5 . . . . . . . . . . . . add -1 -2y
Setting x=0 tells us the y-intercept is ...
0 -2y = -5
y = -5/-2 = 5/2
So, the y-intercept is (0, 5/2).
Setting y=0 tells us the x-intercept is ...
x -2(0) = -5
x = -5
So, the x-intercept is (-5, 0).
Arbitrary pointIt will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...
x -2y = -5
x = -5 +2y = -5 +2(6) = 7
Another point on the line is (7, 6).
__
Additional comment
If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.
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Hi i need to identify the congruence postulation i think i need help.
this is hard i need for help
Answer:
Step-by-step explanation:
3, 7, and 4 are 35 degrees
subtract 35 from 180 to get 145.
1, 2, 5, and 6 are 145
Can someone help me with this
Step-by-step explanation:
please give me brainlest
Answer:
\( \frac{3}{4} {k}^{2} + 2k - 29 \\ \\ \frac{3}{4} {( - 12)}^{2} + 2( - 12) - 29 \\ \\ \frac{3}{4} (144) - 24 - 29 \\ \\ 3(36) - 24 - 29 \\ \\ 108 - 24 - 29 = 55\)
I hope I helped you^_^
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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A cylindrical container holds three tennis balls, each with a diameter of 2.5
inches. The balls are stacked so they touch the container on the sides, top, and bottom.
What is the volume of the empty space inside the container? Round your answer to the nearest hundredth, if necessary.
The volume of the empty space inside the container -32.60 cubic inches (rounded to the nearest hundredth).
To calculate the volume of the empty space inside the container, we need to determine the volume of the container and subtract the volume occupied by the three tennis balls.
Given data:
Diameter of each tennis ball = 2.5 inches
First, let's calculate the volume of each tennis ball:
Radius of the tennis ball = diameter / 2 = 2.5 inches / 2 = 1.25 inches
Volume of a sphere = (4/3) * π * \(radius^3\)
= (4/3) * 3.14 * (1.25 \(inches)^3\)
≈ 14.14 cubic inches (rounded to the nearest hundredth)
Since there are three tennis balls, the total volume occupied by the balls is:
Total volume occupied = 3 * 14.14 cubic inches
≈ 42.42 cubic inches (rounded to the nearest hundredth)
Next, we need to determine the volume of the container. Since the balls touch the container on the sides, top, and bottom, the container forms a cylinder around the balls.
The height of the cylinder is equal to the diameter of the tennis balls, which is 2.5 inches.
Volume of the container = π * \(radius^2\) * height
= 3.14 * \((1.25 inches)^2\) * 2.5 inches
≈ 9.82 cubic inches (rounded to the nearest hundredth)
Finally, we can calculate the volume of the empty space inside the container by subtracting the volume occupied by the balls from the volume of the container:
Volume of empty space = Volume of container - Total volume occupied by balls
= 9.82 cubic inches - 42.42 cubic inches
≈ -32.60 cubic inches (rounded to the nearest hundredth)
Since the result is negative, it indicates that the balls completely fill the container, leaving no empty space inside.
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intermediate models of integration are different from the enemies and allies models because
Intermediate models of integration differ from the enemies and allies models due to their approach in fostering collaboration and cooperation between different entities while maintaining a certain degree of autonomy and independence.
Intermediate models of integration, in contrast to enemies and allies models, aim to establish a framework where entities can work together while retaining their individual identities and interests. These models recognize that complete integration or isolation may not be the most optimal or feasible approaches. Instead, they emphasize the importance of collaboration and cooperation between different entities, such as organizations or countries, while respecting their autonomy.
In intermediate models of integration, entities seek to identify shared goals and interests, leading to mutually beneficial outcomes. They acknowledge the value of diversity and differences in perspectives, considering them as assets rather than obstacles. This approach encourages open communication, negotiation, and compromise to bridge gaps and find common ground. Rather than viewing other entities as adversaries or allies, the emphasis is on building relationships based on trust, transparency, and shared values.
Intermediate models of integration often involve the establishment of frameworks, agreements, or platforms that facilitate collaboration while allowing for flexibility and adaptation to changing circumstances. These models promote inclusivity, recognizing that integration can be a complex process that requires active participation from all involved entities. By combining the strengths and resources of different entities, intermediate models of integration strive to achieve collective progress and shared prosperity while acknowledging the importance of maintaining individual identities and interests.
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a high school choir had a car wash to raise money, the number of trucks washed was 5 fewer than twice the number of cars washed. if they washed a total of 34 trucks and cars, how many trucks did they wash?
PLEASE HELP ME THIS QUESTION IS SO CONFUSING
Answer:
Step-by-step explanation:
ok so, we know they washed 34.
x-5=Trucks washed [19.5-5=(14.5)]
x=cars washed (19.5)
x+x-5=34
2x-5=34
+5 +5
2x=39
divide 2 both sides
x=19.5
To check work: 19.5+14.5=34!
Hope this helps :)
In a jar of blue and red marbles the ratio of blue marbles to red marbles is 5 to 3 there are 320 marbles in the jar how many red marbles are in the jar
Answer:
120 red marbles
Step-by-step explanation:
5 to 3 gives a total of 8
let x = # red marbles
3 = x
8 320
8x = 960
x = 120
How can you find a unit rate when given a rate?
(fill in the spots that say select)
Answer:
multiply the number in the numerator by the denominator.
Show the calculating process by the restoring-division
algorithm for the following division case:
Divisor 00011
Dividend 1011
The quotient is 1111. The process continues until the result is less than the divisor.
To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:
Step 1: Initialize the dividend and divisor
Divisor: 00011
Dividend: 1011
Step 2: Append zeros to the dividend
Divisor: 00011
Dividend: 101100
Step 3: Determine the initial guess for the quotient
Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.
Step 4: Subtract the divisor from the dividend
101100 - 00011 = 101001
Step 5: Determine the next quotient bit
Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
Step 6: Subtract the divisor from the result
101001 - 00011 = 100110
Step 7: Repeat steps 5 and 6 until the result is less than the divisor
Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100110 - 00011 = 100011
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100011 - 00011 = 100001
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100001 - 00011 = 011111
Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.
011111 - 00000 = 011111
Step 8: Remove the extra zeros from the result
Result: 1111
Therefore, the quotient is 1111.
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What is the value of x in the solution to this system of equations?
y+2x=-1
Y=2x-19
Answer:
My teacher told be that x will mean 6 and she also said anyletter will equel 6 in an eqaution HOPE THIS HELPS :D
Step-by-step explanation:
Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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S
5
S
2
--8-7-6-5-4-3-2-1
A
B
E
Ď
D
12
S
5
e
E
O
A
O
B
1 2 3 4 5 6
Which two transformations are applied to pentagon ABCDE to create A'B'C'D'E'? (4
points)
The two transformations applied to pentagon ABCDE to create A'B'C'D'E' are translation and reflection over the x-axis.
Based on the given information, the two transformations applied to pentagon ABCDE to create A'B'C'D'E' are as follows:
Translation: The pentagon has been translated 5 units to the right and 2 units down.
Reflection: The pentagon has been reflected over the line of symmetry located at the x-axis.
These transformations are responsible for the changes in the positions of the vertices of the pentagon, resulting in the new configuration A'B'C'D'E'.
Please note that the given diagram and information lack specific details, so the answer is based on the assumptions made from the limited provided information.
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d+(-9)=-5
i need to solve for d. thank u
Answer:
4
Step-by-step explanation:
d - 9 = -5
Add 9 to -5, and you will get 4.
4 - 9 = -5
Answer:
d=4
Step-by-step explanation:
d+(-9)=-5
d=-5+9
d= 4
You are taking a weather balloon ride. When the balloon is 700 m in the air, you see
o
o
a lake at S40°W
with an angle of depression of 25
• You rise another 350 m and
see a school at S30°E with an angle of depression of 45
How far from the lake is
the school? Note: round your answer to a whole number.
Answer: The lake is
__ meters from from the school.
Pls provide explanation
No links or I’ll report you
The distance between lake and school = 451.15 m.
The figure according to given instances is given below,
Now, B is the position of balloon in the 700 m in air.
A is the position of balloon in the air after further 350 m rise from 700m.
C and D are the position of lake and school respectively.
OB = 700m
OA = 700 + 350 = 1050 m.
Now for the right angled triangle OBC, using trigonometric functions we get,
tan 25 = OB/OC
OC = OB/(tan 25) = 700/(tan 25) = 1501.15 (approximate to nearest hundredth)
Now for the right angled triangle OAD, using trigonometric functions we get,
tan 45 = OA/OD
OD = OA/(tan 45) = 1050/1 = 1050
So the distance between lake and school = OD - OC = 1501.15 - 1050 = 451.15 m.
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a student spins the spinner twice and records the number that the spinner lands on each time. what is the probability that the sum of the two recorded numbers is less than $4$, if the probability of spinning each number is $\frac 14$? express your answer as a common fraction.
The probability of the sum of the two recorded numbers being less than 4 is $\frac{3}{4}$.
What is probability?Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.
This is because there are three possible scenarios in which the sum of the two numbers can be less than 4:
1) both numbers are 1 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$)
2) one number is 1 and the other is 2 (probability of $\frac{1}{4} \times \frac{1}{4} = \frac{1}{16}$).
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The probability of the sum of the two recorded numbers being less than 4 is \(\frac{3}{4}\).
What is probability?Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means the event will not occur and 1 means the event will occur. Probability is used in mathematics, statistics, and other sciences to measure the chances of a certain outcome. Probability is also used in gambling and other forms of betting to determine the likelihood of a certain outcome occurring.
This is because there are three possible scenarios in which the sum of the two numbers can be less than 4.
1) both numbers are 1 (probability of \(\frac{1}{4}\) × \(\frac{1}{4} = \frac{1}{16}\))
2) one number is 1 and the other is 2 (probability of \(\frac{1}{4}\) × \(\frac{1}{4} =\) \(\frac{1}{16}\))
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Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6
Answer:
x/7 + 9 = 6
Step-by-step explanation:
Hope this helps! Please give brainliest!