Answer:
Ok so on a clock there is 12 numbers where 12 is on top so at 12 am and 12 pm noon and midnight you will be at the top of the clock
Hope This Helps!!!
During the ride on the London Eye, you will be at the same height as the top of the Elizabeth Tower at approximately 21 minutes and 43.16 seconds after the start of the ride.
To determine the time(s) during the ride on the London Eye when you are at the same height as the top of the Elizabeth Tower (commonly known as Big Ben), we need to consider the height of the London Eye and its rotational motion.
Given that the Elizabeth Tower is 320 feet tall, we need to find the position of the London Eye when its height aligns with the top of the tower.
The London Eye has a height of 443 feet, and it completes one full rotation in approximately 30 minutes (or 1800 seconds). This means that it moves at a constant angular velocity of 360 degrees per 1800 seconds.
To find the time(s) when the heights align, we can set up a proportion:
(Height of the Elizabeth Tower) / (Height of the London Eye) = (Angle covered by the London Eye) / 360 degrees
Substituting the given values:
320 / 443 = (Time to align) / 1800
Simplifying the equation:
(Time to align) = (320 / 443) * 1800
Calculating the value:
(Time to align) ≈ 1303.16 seconds
Converting the time to minutes and seconds:
(Time to align) ≈ 21 minutes and 43.16 seconds
Therefore, during the ride on the London Eye, you will be at the same height as the top of the Elizabeth Tower at approximately 21 minutes and 43.16 seconds after the start of the ride.
To know more about London Eye. here
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3. Express the strength of a solution both as a ratio and as a percentage if
2 L of the solution contain 400 mg of solute.
Answer:
1 : 5000
0.02%
Step-by-step explanation:
A solution = solute + solvent
A 2 Litre solution = (2 * 1000) = 2000 mg
Having, 400 mg of solute ;
Recall ;
1 mg = 0.001 ml
400 mg = (0.001 * 400) = 0.4 ml
The strength of the solution :
Amount of solute / Amount of solution
0.4 / 2000
As a ratio :
0.4 / 2000 = (0.4 * 10) / (2000*10) = 4 / 20000 = 1 / 5000 = 1 : 5000 (as a ratio)
0.4 / 2000
= 0.0002
(0.0002 * 100%) = 0.02% (As a percentage)
The following data were collected from a simple random sample from an infinite population.
13 15 14 16 12
The point estimate of the population standard deviation is _____.
Answer:
15
Step-by-step explanation:
Which definition best describes vertical angles?
A. A pair of angles that combine to form a straight angle
B. A pair of opposite angles formed by intersecting lines
C. A pair of angles whose sum is 90°
D. A pair of angles whose sum is 180°
SUBI
Answer:
B is the answer
Step-by-step explanation:
Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other
Precision manufacturing: A process manufactures ball bearings with diameters that are normally distributed with mean 25.0 millimeters and standard deviation 0.07 millimeter. Round the answers to at least four decimal places. (a) Find the 60th percentile of the diameters. (b) Find the 67th percentile of the diameters. (c) A hole is to be designed so that 2% of the ball bearings will fit through it. The bearings that fit through the hole will be melted down and remade. What should the diameter of the hole be
Answer:
a) The 60th percentile of the diameters is of 25.0177 millimeters.
b) The 67th percentile of the diameters is of 25.0308 millimeters.
c) The diameter of the hole should be of 24.8562 millimeters.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with mean 25.0 millimeters and standard deviation 0.07 millimeter.
This means that [tex]\mu = 25, \sigma = 0.07[/tex]
(a) Find the 60th percentile of the diameters.
This is X when Z has a p-value of 0.6, so X when Z = 0.253.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.253 = \frac{X - 25}{0.07}[/tex]
[tex]X - 25 = 0.253*0.07[/tex]
[tex]X = 25.0177[/tex]
The 60th percentile of the diameters is of 25.0177 millimeters.
(b) Find the 67th percentile of the diameters.
This is X when Z has a p-value of 0.67, so X when Z = 0.44.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.44 = \frac{X - 25}{0.07}[/tex]
[tex]X - 25 = 0.44*0.07[/tex]
[tex]X = 25.0308[/tex]
The 67th percentile of the diameters is of 25.0308 millimeters.
(c) A hole is to be designed so that 2% of the ball bearings will fit through it. The bearings that fit through the hole will be melted down and remade. What should the diameter of the hole be.
This is the 2nd percentile, which is X when Z has a p-value of 0.08, so X when Z = -2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.054 = \frac{X - 25}{0.07}[/tex]
[tex]X - 25 = -2.054*0.07[/tex]
[tex]X = 24.8562[/tex]
The diameter of the hole should be of 24.8562 millimeters.
Pls answer
Subtract -37 from -53
Answer:
-37 subtract -53
-53 subtract -37 = -16
Step-by-step explanation:
Answer:
The answer is 16
Step-by-step explanation:
-37-(-53) = -37 + 53
You can flip it to 53 - 37 which equals 16.
Hope this helps! :)
*Heads up you can also search this up* ^^
What is AD/AB in simplest form?
Answer:
3
Step-by-step explanation:
From the diagram
AD = 9 units and AB = 3 units , then
[tex]\frac{AD}{AB}[/tex] = [tex]\frac{9}{3}[/tex] = 3
A paddleboat can move at a speed of 4 km/h in still water. The boat is paddled 12 km downstream in a river in the same time it takes to go 6 km upstream. What is the speed of the river?
Answer:
Speed of the river = [tex]\frac{4}{3}[/tex] km per hour
Step-by-step explanation:
Speed of the boat in still water = 4 km per hour
Let the speed of the river = v km per hour
Speed of the boat upstream = (4 - v) km per hour
Time taken to cover 6 km = [tex]\frac{\text{Distance}}{\text{Speed}}[/tex]
= [tex]\frac{6}{4-v}[/tex] hours
Speed of the boat downstream = (4 + v) km per hour
Time taken to cover 12 km = [tex]\frac{12}{4+v}[/tex] hours
Since, time taken by the boat in both the cases is same,
[tex]\frac{6}{4-v}= \frac{12}{4+v}[/tex]
6(4 + v) = 12(4 - v)
24 + 6v = 48 - 12v
12v + 6v = 48 - 24
18v = 24
v = [tex]\frac{24}{18}[/tex]
v = [tex]\frac{4}{3}[/tex] km per hour
The lengths of nails produced in a factory are normally distributed with a mean of 6.13 centimeters and a standard deviation of 0.06 centimeters. Find the two lengths that separate the top 7% and the bottom 7%. These lengths could serve as limits used to identify which nails should be rejected.
Answer:
A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 6.13 centimeters and a standard deviation of 0.06 centimeters.
This means that [tex]\mu = 6.13, \sigma = 0.06[/tex]
Value that separated the top 7%:
The 100 - 7 = 93rd percentile, which is X when Z has a p-value of 0.93, so X when Z = 1.475.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.475 = \frac{X - 6.13}{0.06}[/tex]
[tex]X - 6.13 = 1.475*0.06[/tex]
[tex]X = 6.2185[/tex]
Value that separates the bottom 7%:
The 7th percentile, which is X when Z has a p-value of 0.07, so X when Z = -1.475.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.475 = \frac{X - 6.13}{0.06}[/tex]
[tex]X - 6.13 = -1.475*0.06[/tex]
[tex]X = 6.0415[/tex]
A value of 6.0415 centimeters separates the bottom 7%, while a value of 6.2185 centimeters separates the top 7%.
Wrap your foot by plastic cover. B. Directions: Read the sentences carefully. Write TRUE if the statement is True and FALSE if not. 16. Rain and dull clouds, windy blue skies, cold snow, and sticky heat are very different conditions, yet they are all weather. 17. A weather instrument is any type of measurement device that gives information about the weather. 18. Weather is the mix of events that happen each day in our atmosphere. 19. Weather is different in different parts of the world and changes over minutes, hours, days and weeks. 20. The four letters EW, SW, NE, SN represent the four directions: East West, South West, North East, and South North.
Answer:
16. false
17. True
18. True
19. True
20. false
Step-by-step explanation:
16. all terms are expressions of weather - except for cold snow. "snowfall" would be the weather condition. "snow" itself is the accumulated mass of snowflakes on the ground.
17. that is simply true. there is nothing really to explain.
18. the same as 17. that is the definition of weather.
19. yes, that is part of the explanation of the difference between weather and climate.
20. South North is NOT a direction. it kind of contradicts itself. and what is between South and North ? East and West. so, even from that perspective it is not clear.
overall, what kind of math question is that ? that is more for geography, Earth science, or meteorology or something like this.
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 23 feet, and the length of the other base is 50 feet. The height is 20 feet. What is the area of this section of the deck?
The area for the section of the deck is ____ ft
Answer:
Area of a trapezoid= (big base+small base)/2 x height
A=(67+54)/2 x 18
A=60.5 x 18
A=1089
Find the direction in which the function is increasing most rapidly at the point Po.
f(x, y,z)= xy -lnz , Po (1,1,1)
The largest rate of change occurs in the same direction as the gradient of f at the point.
∇f(x, y, z) = (∂f/∂x, ∂f/∂y, ∂f/∂z) = (y, x, -1/z)
==> ∇f (1, 1, 1) = (1, 1, -1)
In other words, f changes at the highest rate in the direction of the vector (1, 1, -1).
an interest expense of $125 has been incorrectly debited to utilities expense.
Answer:
125x=(62.50+(62.50)×0
Convert 0.0177 to a percent and a fraction.
Multiply (x2 + 3x + 5)(2x2 - 2x + 1).
A. 2A - 6x2 + 5
B. 3x2 + x + 6
C. 2A + 4x2 + 5x2 - 7x + 5
D. 2x4 + 8x3 + 17x2 + 13x+5
√x²+2√3 +3 =0
[tex] \sqrt{x^{2} + 2 \sqrt{3} + 3} = 0[/tex]
solve x
Square both sides:
x^2+2sqrt3+3=0
x^2=-2sqrt(3)-3
x=sqrt(2sqrt(3)+3)i
or
x=-sqrt(2sqrt(3)+3)i
Simplify the following expression.
3x4 + 2x3 - 5x2 + 4x2 + 6x-2x-3x4 +7XS - 3X3
Answer:
39+4x
Step-by-step explanation:
Since two opposites add up to zero, remove them from the expression
2x3-5x+2+4x2+6x-2x+7x5
Calculate the sum or difference
39+6x-2x
Which sequence is geometric?
O 1,5, 9, 13, ….
O 2, 6, 8, 10, ...
O 5, 7, 9, 11, ....
O 4, 8, 16, 32, ….
Answer:
4, 8, 16, 32, ...
Step-by-step explanation:
8 / 4 = 2
16 / 8 = 2
32 / 16 = 2
Common ratio is 2
So, The sequence 4, 8, 16, 32, …. is geometric.
Translate this sentence into an equation.
The difference of Malik's height and 11 is 44
Use the variable m to represent Malik's height.
Answer:
m - 11 = 44
Step-by-step explanation:
Breaking the phrase down...
"The difference of Malik's height and 11" - this indicates subtraction.
m - 11
"is 44" - this indicates that the value of the diffrence would be '44'.
'= 44'
The equation should be:
m - 11 = 44
Hope this helps.
What is the domain of the function f(x) =x+1/
X^2-6x+8?
Answer:
The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \frac{x+1}{x^2-6x+8}[/tex]
It's a fraction, so the domain is all the real values except those in which the denominator is 0.
Denominator:
Quadratic equation with [tex]a = 1, b = -6, c = 8[/tex]
Using bhaskara, the denominator is 0 for these following values of x:
[tex]\Delta = (-6)^2 - 4(1)(8) = 36-32 = 4[/tex]
[tex]x_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]
[tex]x_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]
The domain of the function is all real values of x, except [tex]x = 4[/tex] and [tex]x = 2[/tex]
Find the area of the region that is enclosed between the curves y = x2 and
y = x + 6.
Integrate:
[tex]\displaystyle\int_{-2}^3((x+6)-x^2)\,\mathrm dx = \int_{-2}^3(6+x-x^2)\,\mathrm dx[/tex]
[tex]=\left(6x+\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{-2}^3[/tex]
[tex]=\left(18+\dfrac92-9\right) - \left(-12+2+\dfrac83\right)[/tex]
[tex]=\boxed{\dfrac{125}6}[/tex]
Show all the steps to solve the following
942.6 - 19.734
Answer:
922.868
Step-by-step explanation:
1. Thousandth place of 942.6002. Subtracting[tex]942.600-19.732=922.868[/tex]
3p + 4q = 22
10p + 12 q = 68
What is p and what is q
(Similtaneous equations)
Answer:
q=4
p=2
Step-by-step explanation:
3p+2q=14
10p+6q=44
10(3p+2q=14)
3(10p+6q=44)
30p+20q=140-
30p+18q=132
2q=8
2q/2=8/2
q=4
3p+2*4=14
3p+8=14
3p=14-8
3p/3=6/3
p=2
hope this helps
Answer:
[tex]p=2\\q=4[/tex]
Step-by-step explanation:
One is given the following system of equations,
[tex]3p + 4q = 22\\\\10p + 12q = 68[/tex]
The fastest method to solve a system of equations is the method of elimination. This process is manipulating one of the equations, by multiplying or diving it by a value, such that one of the coefficients variables in the equation is the additive inverse of the like term in the other equation. That way, when one adds the equations, one of the variables cancels out. Then one can solve for the other term. Finally, one can back sovle by substituting the value of the solved variable into one of the equations and simplifying to find the value of the other variable.
[tex]3p + 4q = 22\\\\10p + 12q = 68[/tex]
Manipulate the first equation so that the variable (q) cancels
[tex](3p + 4q = 22) *(-3)\\\\10p + 12q = 68[/tex]
[tex]-9p + -12q = -66\\\\10p + 12q = 68[/tex]
Add the equations,
[tex]-9p + -12q = -66\\\\10p + 12q = 68[/tex]
[tex](10p-9p)+(-12q+12q)=(-66+68)[/tex]
Simplify,
[tex](10p-9p)+(-12q+12q)=(-66+68)[/tex]
[tex]p=2[/tex]
Backsovle for the variable (p). Substitute the values of (p) into one of the original equations. Then simplify and use inverse operations to solve for the variable (q).
[tex]3p+4q=22[/tex]
Substitute,
[tex]3(2)+4q=22[/tex]
Simplify,
[tex]3(2)+4q=22[/tex]
[tex]6+4q=22[/tex]
Inverse operations,
[tex]6+4q=22[/tex]
[tex]4q=16\\q=4[/tex]
Which expression is equivalent to (6x5z)3/4x4z2?
Hello!
(6x⁵z)³/4x⁴z² =
= 216x¹⁵z³/4x⁴z² =
= 54x¹¹z
Good luck! :)
A student estimated based on the video that the ball left my hand 1.65 meters off the ground, and after 0.58 seconds the ball reached the maximum height of 3.26 meters. Use this information to find an equation of the form h = a ( t − t 1 ) 2 + h 1 for the height of the ball, in meters, after t seconds. h =
9514 1404 393
Answer:
h = -4.79(t -0.58)^2 +3.26
Step-by-step explanation:
The coordinates (t1, h1) are the time and height at the maximum. Then 'a' can be found from ...
h = a(t -t1)^2 +h1
1.65 = a(0 -0.58)^2 +3.26
-1.61 = 0.3364a . . . . . subtract 3.26
-4.786 = a . . . . . . . divide by the coefficient of a
The equation is ...
h = -4.79(t -0.58)^2 +3.26
Given the data points below, compute the sum of squared errors for the regression equation
Y
=
2
+
3
X
.
X
0
3
7
10
Y
5
5
27
31
Answer:
The sum of squared errors for the regression equation is 62.
Step-by-step explanation:
The sum of squared errors can be computed as follows:
X Y Y* = 2 + 3X Y - Y* (Y - Y*)^2
0 5 2 3 9
3 5 11 -6 36
7 27 23 4 16
10 31 32 -1 1
20 68 68 0 62
From the above, we have:
Error = Y - Y*
Error^2 = (Y - Y*)^2
Sum of squared errors = Sum of Error^2 = Total of (Y - Y*)^2 = 62
Therefore, the sum of squared errors for the regression equation is 62.
What is the value of x
Answer:
52/3
Step-by-step explanation:
Use basic Thales therom,
[tex]\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\[/tex]
Cross multiply,
3*(5x-8)=4*(3x+7)
3*5x - 3*8 = 4*3x + 4*7
15x - 24 = 12x +28
Add 24 to both sides
15x = 12x + 28 + 24
15x = 12x + 52
Subtract 12x from both sides
15x-12x =52
3x = 52
Divide both sides by 3
x = 52/3
Which of the following is a true statement?
Answer:
The last choice: 68/5 - 22/5 = 9 1/5
Step-by-step explanation:
Solve each problem:
9 3/7 = 10 3/7
The fractions are the same so look at the whole numbers.
Does 9 equal 10? No, it doesn't so this is a false statement.
332/4 = 1/83
Simplify 332/4:
332/4 = 83/1
83 does not equal 1/83 so this is a false statement.
37/5 = 5 2/5
Convert the improper fraction into a mixed number:
7 2/5 = 5 2/5
These numbers do not equal each other so this is a false.
68/5 - 22/5 = 9 1/5
Subtract the numerators on the left side of the equation:
46/5 = 9 1/5
Convert the improper fraction into a mixed number:
9 1/5 = 9 1/5
These numbers equal each other so this is a true statement!
For a particular species of wolf, 55% are female, 20% hunt in medium-sized packs, and 15% are both female and hunt in medium-sized packs. What is the percent of wolves that are female but do not hunt in medium-sized packs?
Which method correctly solves the equation using the distributive property?
Negative 0.2 (x minus 4) = negative 1.7
Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 4 = negative 1.7. Negative 0.2 x = 2.3. x = negative 11.5.
Negative 0.2 (x minus 4) = negative 1.7. x minus 4 = 0.34. x = 4.34.
Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x + 0.8 = negative 1.7. Negative 0.2 x = negative 2.5. x = 12.5.
Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 0.8 = negative 1.7. Negative 0.2 x = negative 0.9. x = 4.5.
9514 1404 393
Answer:
(c) x = 12.5
Step-by-step explanation:
-0.2(x -4) = -1.7
-0.2x +0.8 = -1.7 . . . eliminate parentheses using the distributive property
-0.2x = -2.5 . . . . . . subtract 0.8
x = 12.5 . . . . . . . . divide by -0.2
Choose the three formulas that can be used to describe complementary events.
Choose the three formulas that can be used to describe complementary events.
A. P(E') = 1 - P(E)
B. P(E) - P(E') = 1
C. P(E) + P(E') = 1
D. P(E) = 1/P(E')
E. P(E) = 1 - P(E')
F. P(E)/P(E') = 1
G. P(E') = 1/P(E)
Answer:
c
Step-by-step explanation: