The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.
The p(z ≥ 2.11) is 0.0177.
To calculate the p(z ≥ 2.11), you can use a z-table to look up the z-score. This z-score falls in the area of the tail of the distribution, which means it is the area to the right of 2.11.
The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.
The p(z ≥ 2.11) is 0.0177.
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Cite an example from the leon to how that a mak could be ued for omething more complex than a "ceremonial" purpoe
He encourages them to remain brave and steadfast, and emphasizes the importance of unity and solidarity in order to achieve victory.
In the Leon, King Leonidas uses the to rally his troops and to inspire them to fight for freedom. He uses it to explain the importance of fighting for freedom and the consequences of failing to do so. He emphasizes the importance of remaining brave and steadfast, and speaks of the need for unity and solidarity in order to achieve victory. He also uses the Maka to explain the importance of having faith in the gods and themselves, and trust that the gods will grant them victory. King Leonidas’ use of the Maka is much more complex than a ceremonial purpose, as he is using it to motivate and teach his troops. He speaks of the need to stay united and to fight for freedom, which is something that is larger than any one individual. He stresses the importance of having faith in the gods, as well as in each other, and that by doing so, victory can be achieved.
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What is 9/25 squared?
Answer:
0.1296
Step-by-step explanation:
9/25 = 0.36
0.36 squared = 0.1296
At the airport, each piece of luggage to be checked in must weigh less than 45 pounds.
The weight of a piece of luggage that can be checked in, given the use of w to represent the weight, is W < 45.
How to represent the statement ?The statement given is that, " each piece of luggage to be checked in must weigh less than 45 pounds. "
What this means is that the mass of each luggage should not be up to 45 pounds. The weight of the luggage should not be more than 45 pounds and it should not be equal to 45 pounds.
If the weight of luggage was said to be equal or less, then the symbol of equal or less than, which is ≤ would have been used.
However, the weight should be less than 45 pounds and with the weight being w, the expression would be:
W < 45
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The rest of the question is:
Use W to represent the weight (in pounds) of a piece of luggage that can be checked in
Can anyone help me with this question?
Answer:
answer is b second which is -6
Find the slope of the image below
Answer: First question for the slope that passes through (-7, -2) and (6,-2) is m = 0. For the line that passes through (5, 3) and 5, -7) is m = 1/0.
I hope this helps!
Step-by-step explanation:
(−7,−2) and (6,−2)
(x₁,y₁) = (−7,−2)
(x₂,y₂) = (6,−2)
y₂ − y₁ / x₂−x₁
= −2 − −2 / 6 − −7
= 0/13
m = 0
m = y₂ − y₁ / x₂ − x₁
= −7 − 3 / 5 - 5
= −100
m = 1/0
In parallelogram PQRS, the measure of angle P is five times the measure of angle Q. What is the measure of angle R , in degrees?
The measure of angle R, in degrees, is 150°.
A parallelogram is a quadrilateral or four-sided shape, that has opposite sides that are parallel to each other. The opposite sides of a parallelogram are equal in length, and the opposite angles are also equal in measure.
In a parallelogram, opposite angles are equal, so if the measure of angle P is five times the measure of angle Q, then the measure of angle R must also be five times the measure of angle Q.
Let's call the measure of angle Q "x". Then the measure of angle P is 5x, and the measure of angle R is 5x.
Therefore, the measure of angle R in degrees is 5x degrees.
We know,
All of the angles added together = 360°
∠5Q +∠Q+∠5Q+∠Q = 360 Solve for Q
∠12Q = 360
⇒ ∠Q = 30°
then ∠P = ∠5Q = 5(30) = 150°
and,
∠P = ∠R
⇒ ∠R = 150°
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on a certain clock the minute hand is 8 in long and the hour hand is 6 in long. how fast is the distance between the tips of the hands when changing at 9 o'clock
The distance between the tips of the hands is changing at a rate of 55 inches per minute at 9 o'clock.
To find the distance between the tips of the hands, we can use the Pythagorean theorem:
distance = $\sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10$
As the clock moves, the minute hand will rotate 360 degrees in 60 minutes, or 6 degrees per minute, and the hour hand will rotate 360 degrees in 12 hours or 0.5 degrees per minute.
To find the rate at which the distance between the tips of the hands is changing, we need to find the rate at which the angle between the hands is changing.
We can use the fact that the angle between the hands is equal to the difference in the angular velocities of the hands.
Angular velocity of the minute hand = 6 degrees/minute
Angular velocity of the hour hand = 0.5 degrees/minute
Angular velocity of the distance between the tips of the hands = 6 - 0.5 = 5.5 degrees/minute
To convert this to distance per minute, we can use the fact that the distance between the tips of the hands is equal to the length of the hour and minute hand multiplied by the sine of the angle between them.
Distance per minute = 10 * 5.5 degrees/minute = 55 inches/minute
So, the distance between the tips of the hands is changing at a rate of 55 inches per minute at 9 o'clock.
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what is 4 2/3 - 3 1/3
Answer:
1.33333333333
Step-by-step explanation:
1.33333333333
if a gallon of paint costs $36.50 and it covers 350 square feet on average, what is the cost of painting the room walls with two coats of paint?
The cost of painting the room walls with two coats of paint would be $84.38
To determine the cost of painting the room walls with two coats of paint, you would need to know the total square footage of the walls you are planning to paint. Once you have that information, you can calculate the total cost by multiplying the number of gallons of paint required by the cost per gallon. For example, if the room has 800 square feet of walls, you would need 2.28 gallons of paint (800/350 = 2.28) and the total cost would be $84.38 (2.28 x $36.50). If you want to know the cost of one coat, you will need to divide that number by 2.
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ABCD is a regular tetrahedron. MandN are the mid points of the edges AB and CD. It the length of AB is a, then |MN|^2 = ...?
4/3 is the valve of |MN| ^2 of a given tetrahedron in which M AND N are the mid points of the edges AB and CD . is explained below:
on observing the diagram we can estimate that image of point D in the plane is given by ABC is [tex](2\sqrt{2} , 0 , -2 )[/tex] and volume of tetrahedron ACBM is 4/3
AB=BC=CD=AD =a
hence a =[tex]2\sqrt{2}[/tex] then MA =2 ; 2b^2 =4 ; therefore , b=[tex]\sqrt{2}[/tex]
then value of B ([tex](\sqrt{2} ,\sqrt{2}, 0 )[/tex] then according to the theorem we get as
[tex]MA^{2} + MB^{2} = AB^{2}[/tex] we have condition by diagram as MA ⊥ MB similarly
MA ⊥ MC , MB ⊥ MC hence , MA.MC =-2z =0
hence MB.MC= [tex]\sqrt{2x} +\sqrt{2y} =0[/tex] therefore we get y=-x and z=0 hence the coordinates for C(x ,-x ,0)
and also MC^2 =2x^2=MA^2 =4 ; x=[tex]\sqrt{2}\\[/tex] (x>0)
hence C[tex](\sqrt{2} ,\sqrt{2}, 0 )[/tex] hence
|MN|^2 = [tex]\frac{1}{6} |MA| . |MB| . |MC| = \frac{4}{3}[/tex]
hence the value of |MN|^2 = 4/3
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Make y the subject of the formula.- A=r(y + 2 ) / 5
Answer:
y = 5A/r - 2
Step-by-step explanation:
It is a simple algebra. pkease see the above
Answer:
Step-by-step explanation:
"What set of reflections would carry hexagon ABCDEF onto itself?. . Hexagon ABCDEF on the coordinate plane with pointA at negative 1, 1, pointB at negative 3, 1, pointC at negative 4, 2, pointD at negative 3, 3, pointE at negative 1, 3, and pointF at 0, 2. . .x-axis, y=x, x-axis, y=x .. y=x, x-axis, y=x, y-axis .. y-axis, x-axis, y-axis .. x-axis, y-axis, y-axis ."
A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
What is a combination of reflections?
Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.
Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.
One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.
This would take the hexagon from its original position to itself.
Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.
This would also take the hexagon from its original position to itself.
Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
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Taylor earned $338.00 at her job when she worked for 20 hours. What was her hourly wage, in dollars per hour?
What is the answer.
Answer:
$338/20 = $16.90
Answer:
[tex]\$16.90 \textrm{ per hour}[/tex]
Step-by-step explanation:
To solve this, we simply have to divide the total amount of money that Taylor earned by the number of hours that she worked for.
[tex]\dfrac{\$338.00}{20 \textrm{ hr}} = \$16.90 \textrm{ per hr}[/tex]
What is the y-intercept of the line shown? (4 points)
−1
0
0.5
1
Find the value of 2π√l /g
when π=3⅐, l= 98 and g = 32
Answer:
Step-by-step explanation:
2π√l/g = (2*3.14*sqrt(98))/32 = 10.945
Find the sum of the geometric sequence if the first term is -8, the common ratio is -3 and there are 10 terms
Answer:
Step-by-step explanation:
The sum of a geometric sequence can be found using the formula
Sn = a₁ (1 - rⁿ⁻¹)/ (1 - r)
where a₁ is the first term, r is the common ratio, and n is the number of terms.
In this case, a₁ = -8, r = -3, and n = 10.
Plugging these values into the formula, we get
Sn = -8 (1 - (-3)⁹⁻¹) / (1 - (-3))
Sn = -8 (1 + 3⁹) / 4
Sn = -8 (1 + 19683) / 4
Sn = -8 × 19684 / 4
Sn = -4920
alex thinks $163$ degree angles are neat. what is the maximum number of interior angles of a convex polygon that can have measure $163$ degrees?
The maximum number of interior angles of a convex polygon would be 7.
Imagine operating a small vehicle on a track with a polygonal shape. Your compass is handy (directional, not one for drawing circles). The automobile concludes the lap in the same direction as it began. If there was a compass, it has completed one full rotation.
180 - 131 = 49°
360/49 = 7.346938775510204
So 7 interior angles max
A convex polygon's outside angles add up to 360 degrees.
131 degrees for the inside angles and 49 degrees for the outside angles. The vehicle is capable of seven rotations at 49 degrees and one turn at 17 degrees, for a total of 360 degrees in one lap.
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The question is wrong the correction:
Alex thinks 131 degrees are neat. What is the maximum number of interior angles of a convex n-gon that can measure 131 degrees?
Determine the number of positive integers n that satisfy 1/2 < n/(n +1) < 99/101. Do any negative integers satisfy this inequality? Hint: Tackle 1/2 < n/(n + 1) and n/(n +1) < 99/101 separately.
Answer:
No
Step-by-step :
n/n + 1 > 1/2, (n + 1)/n < 2, (n+1)/n - 2 < 0, [(n + 1) - 2n]/n < 0, (1 - n)/n < 0, n > 0, 1 - n < 0, n > 1
n/n + 1 < 99/101, (n + 1)/n > 101/99, [99(n+1)]/n > 101, [(99n + 99)]/n > 101, [(99n + 99)]/n - 101 > 0, (99n + 99 - 101n)/n > 0
(99 - 2n)/n > 0, n > 0, 99 - 2n > 0, 2n < 99, n < 99/2
1 < n < 49.5
8 ÷ 28 *has to be in decimal form*
Answer: 0.28571428571
Step-by-step explanation: 8 dived by 28
Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?
Answer:
wouldn't this be 4,2?
Step-by-step explanation:
i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.
Ellen has a pencil 2x+15cm long. Tom has a pencil 5x+25cm long. How much longer is Tom's pencil than Ellen's?
Tom's pencil is longer than Ellen's pencil with (3x+10)cm
What is subtraction?Subtraction is one of the four arithmetic operation along with addition, multiplication and division. Subtraction is an operation that represents removal of objects from a collection. For example, in the adjacent picture, there are 5 minus 2 peaches, this means that 5 peaches with 2 taken away, resulting in a total of 3 peaches.
Ellen's pencils length = 2x+15
Tom's pencil length = 5x+25
Tom's pencil will be longer than Ellen's with;
(5x + 25 ) - (2x+15)
= 5x + 25 -2x - 15
collect like terms
5x -2x +25-15
3x +10
therefore Tom's pencil is longer than Ellen's pencil with ( 3x+10) cm
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a company produces steel rods. the lengths of the steel rods are normally distributed with a mean of 97-cm and a standard deviation of 1-cm. for shipment, 15 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is less than 97.1-cm.
The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Steel rods are produced by a firm. The lengths of the steel rods have a mean of 97 cm and a standard deviation of 1 cm, and they are regularly distributed. 15 steel rods are packaged together for shipping. determine the likelihood that the average length of a bundle of steel rods chosen at random is less than 140.7 cm.
mean is N (M) (109,1.6)
Looking for P(M 108.7) to P(z ???) conversion utilizing N(0,1) z-statistic transformation
P(z [M - population mean]/[SD/square root(sample size)]) = P(z [108.7-109)/[1.6/sqrt(27)] = P(z -0.974] = 0.165.
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find the volume of the largest right circular cylinder (in units^3) that fits in a sphere of radius 4 units.
The volume of the largest right circular cylinder (in cubic units) that fits in a sphere of radius 4 units is 154.7 cubic units.
First, draw a diagram. The diagram shows the cylinder inscribed in the sphere. Given that in the diagram the height, h, we can find the radius of the cylinder in terms of r using the Pythagorean Theorem.
h represents half of the total height of the cylinder. choose h instead of h² to simplify things better.
To find the volume of the cylinder, we need to multiply the area of the top by the total height of the cylinder. In other words;
V = π(radius of cylinder)²(height of cylinder)
V = π(√r²−h²)²(2h)
V = 2πh(r²−h²)
V = 2π(r²h−h³)
d/dxV(h) = 2π(r²−3h²) = 0
The 2π divides out and we are left with;
r²−3h² = 0
After some rearranging;
h² = r²/3
Take the square root of both sides.
h = r/√3
To find the volume, we need to put this into the volume equation.
V = 2πh(r²−h²) = 2π(r/√3){r²−(r/√3)²}
V = (2πr/√3)(r²−r²/3)
V = (2πr/√3){(3r²−r²)/3}
V = (2πr/√3)(2r²/3)
V = 4πr³/3√3
V = 4√3πr³/9
Now, put the value of r in the above equation, and we get
V = 4√3π(4)³/9
V = 256√3π/9
V = 154.7 cubic units
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classwork
If tan x = 1, evaluate Sin x+ cos x, leaving your answer in surd form
Answer:
sin x + cos x = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
given
tan x = 1 , then
x = [tex]tan^{-1}[/tex] (1) = 45°
the exact values of both sin45° and cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin x + cos x
= sin45° + cos45°
= [tex]\frac{1}{\sqrt{2} }[/tex] + [tex]\frac{1}{\sqrt{2} }[/tex]
= [tex]\frac{2}{\sqrt{2} }[/tex]
rationalise the denominator by multiplying numerator/ denominator by [tex]\sqrt{2}[/tex]
= [tex]\frac{2(\sqrt{2}) }{\sqrt{2}(\sqrt{2}) }[/tex]
= [tex]\frac{2\sqrt{2} }{2}[/tex]
= [tex]\sqrt{2}[/tex]
cual es la formula del area
Answer:
Area for triangle : Area = 1⁄2× base × height
Area for square : Area = base × height
Step-by-step explanation:
In the addition of the 3 digit numbers shown, the letters A, B, C, D each represent a unique single digit. Which of the following could be the sum of A+B+C+D?ABC+DBC=850a. 10. b. 13. c.14. d.16. e.19
In addition to the 3-digit numbers shown, the letters A, B, C, and D each represent a unique single digit. out of the following e.19 could be the sum of A+B+C+D.
To find the sum of A, B, C, and D, we first need to add the 3-digit numbers ABC and DBC. To do this, we can use the standard column addition method. Starting from the right column, we add the single digits A and D together to get the one digit of the sum. Moving to the left column, we add the two-digit numbers BC and BC, which adds up to 180.
Then, we add the single digits B and C together to get the tens digit of the sum. Finally, we add the two-digit numbers AC and DC together to get the hundreds of digits of the sum. When we put all the digits together, we get the sum of A, B, C, and D to be 850. Since 850 is not one of the given answers, we look for the nearest option. The nearest option is 19, which is the answer to this question.
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algebra equation…. help help help help help help
The solution to the system of equations is (0, -5) or (4, 3).
What is the system of equations?
A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
To solve the system of equations, we'll substitute the second equation into the first:
x^2 + (2x - 5)^2 = 25
Expanding the square in the second equation:
x^2 + 4x^2 - 20x + 25 = 25
5x^2 - 20x = 0
5x(x - 4) = 0
So x = 0 or x = 4.
For x = 0:
y = 2x - 5 = -5
For x = 4:
y = 2x - 5 = 3
Hence, the solution to the system of equations is (0, -5) or (4, 3).
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if ACB= (11x-32) find the value of x
Answer:the final answer is 7
Step-by-step explanation:
Please HELP me ASAP... Don't answer if you don't know all of the questions
In an AP, a1,a2,a3,.....an, where a1 represents first term and an represents nth term, what is the common difference d?
Answer:
a2 - a1
Step-by-step explanation:
Tn= a+(n-1)d
Tn = a1 (an -1) a2-a1
