The average weight of students in a class is 40 kg. If the total weight of all the students is 1840 kg, then the number of students in the class is _______.
a.40
b.42
c.44
d.46
Answer:
d. 46
Step-by-step explanation:
46(students) × 40(kg) = 1840(total kg)
what is 8.25% of $25
Answer:
2.0625
Step-by-step explanation:
8.25%=0.0825
0.0825*25=2.0625
Answer:
2.0625
Step-by-step explain
8.25% of 25 dollar is $2.0625
Math Question plz help
Answer: y = 4/5 - 6.2
y = mx + b
first get the 2 points and plug it in to the equation
y - y1 = m (x -x1)
y - 3 = 4/5 (x - 4)
y - 3 = 4/5x - 3.2
add 3 on both sides
y = 4/5 - 6.2
Step-by-step explanation:
Find the curvature and the radius of curvature at the point t=0. x=e
t
cos(t),y=e
t
sin(t),z=11e
t
κ=
The magnitude of the cross product is imaginary, the curvature at t = 0 is undefined, and therefore, the radius of curvature is also undefined.
To find the curvature κ at the point where t = 0, we need to calculate the first derivative, second derivative, and the magnitude of the cross product of the first and second derivatives.
Given:
x = e^t * cos(t)
y = e^t * sin(t)
z = 11e^t
First, let's find the derivatives:
dx/dt = -e^t * sin(t) + e^t * cos(t)
dy/dt = e^t * cos(t) + e^t * sin(t)
dz/dt = 11e^t
Now, let's find the second derivatives:
d^2x/dt^2 = -e^t * cos(t) - e^t * sin(t) - e^t * sin(t) - e^t * cos(t)
= -2e^t * sin(t) - 2e^t * cos(t)
d^2y/dt^2 = -e^t * sin(t) + e^t * cos(t) + e^t * cos(t) + e^t * sin(t)
= 2e^t * cos(t)
d^2z/dt^2 = 11e^t
Now, we can calculate the cross product of the first and second derivatives:
r' = [dx/dt, dy/dt, dz/dt]
r'' = [d^2x/dt^2, d^2y/dt^2, d^2z/dt^2]
cross product = r' x r'' = [dy/dt * d^2z/dt^2 - dz/dt * d^2y/dt^2, dz/dt * d^2x/dt^2 - dx/dt * d^2z/dt^2, dx/dt * d^2y/dt^2 - dy/dt * d^2x/dt^2]
Substituting the values, we get:
cross product = \([(e^t * cos(t))(11e^t) - (11e^t)(2e^t * cos(t)), (11e^t)(-2e^t * sin(t)) - (-e^t * sin(t))(11e^t), (-e^t * sin(t))(2e^t * cos(t)) - (e^t * cos(t))(2e^t * sin(t))]\)
Simplifying further:
cross product =\([11e^{(2t)} * cos(t) - 22e^{(2t)} * cos(t), -22e^{(2t)} * sin(t) + 11e^{(2t)} * sin(t), -2e^{(2t)} * sin(t) * cos(t) + 2e^{(2t)} * sin(t) * cos(t)]\)
cross product = \([11e^{(2t)} * cos(t) - 22e^{(2t)} * cos(t), -11e^{(2t)} * sin(t), 0]\)
Now, we can find the magnitude of the cross product:
|cross product| \(= \sqrt{((11e^{(2t)} * cos(t) - 22e^{(2t)} * cos(t))^2 + (-11e^{(2t)} * sin(t))^2 + 0^2)\)
\(= \sqrt{((121e^{(4t)} * cos^2(t) - 484e^{(4t)} * cos^2(t) + 242e^{(4t)} * cos(t) * sin(t) + 121e^{(4t)} * sin^2(t)))\)
At t = 0
:
|cross product| = \(\sqrt{((121 * 1 - 484 * 1 + 242 * 0 + 121 * 0))}\)
= \(\sqrt{(-242)}\)
Since the magnitude of the cross product is imaginary, the curvature at
t = 0 is undefined, and therefore, the radius of curvature is also undefined.
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The standard error of the mean for a sample of 100 is 30. In order to cut the standard error of the mean to 15, we would a) increase the sample size to 200. b) increase the sample size to 400. c) decrease the sample size to 50. d) decrease the sample to 25.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
The given standard error of the mean for a sample of 100 is 30. So to cut the standard error of the mean to 15, we have to proceed by increasing the sample size to 400.
The formula for evaluating the standard error of mean
SEM = SD / √(n)
here, SEM = standard error of the mean,
SD = standard deviation
n = sample size
Staging the values
15 = SD / √(100)
15 x √(100) = SD
SD = 150
Now evaluating for the value of n
15 = 150 / √(n)
15 x √(n) = 150
√(n) = 10
n = 100
Now looking at the formula, we need to decrease SEM by half,
So we proceed by increasing the sample size by a factor of 4.
In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.
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The mass of the sun is about ten million times greater than the mass of the moon. What is the approximate mass of the sun? Write in exponential form.
The approximate mass of the sun in exponential form is 7.342 × 10²⁹ kg.
The mass of the sun is about ten million times greater than the mass of the moon. What is the approximate mass of the sun? Write in exponential form. The mass of the moon is 7.342 × 10²² kg (kilograms), and the mass of the sun is approximately 10 million times greater.
Therefore, the mass of the sun is approximately 10 million times the mass of the moon. Mass of the sun in exponential form can be expressed as: M = 10,000,000 × 7.342 × 10²² kg= 7.342 × 10²² × 10⁷ kg= 7.342 × 10²⁹ kg
Therefore, the approximate mass of the sun in exponential form is 7.342 × 10²⁹ kg.
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55 subtracted from three times any number.
Use xx to represent any number.
The expression to represent the above statement is
The expression for the given statement is 3x-55.
The given statement is 55 subtracted from three times any number.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Let the unknown number be x.
Three times any number = 3x
55 subtracted from three times any number = 3x-55
Therefore, the expression for the given statement is 3x-55.
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Pls halp due today >_<. Thank you
Answer:
<
Step-by-step explanation:
Step 1: Evaluate 2√40
2√40 = 12.6491
Step 2: Evaluate 7 + √63
7 + √63 = 14.9373
Step 3: Fill in inequality symbol
12.6491 < 14.9373
A bike has a radius of 12 inches find the circumference of the bike tire
Answer: The answer is 37.7
Step-by-step explanation: 2 x 3.14 x 6
2 times pi/3.14 times half of the diameter, which is 6.
An ice cream shop uses mix of blueberries and cherries on its ice cream sundaes. The shop has 5 3/4 pounds of
blueberries and
4 1/2 of cherries. The shop mixes the blueberries and cherries and uses 1/16 pound of the mix on each sundae. Which
expression represents the total number of sundaes that the shop can make using all of the blueberries and cherries?
A:(5 3/4 ÷ 1/16) + 4 1/2
B:5 3/4 + (4 1/2 ÷ 1/16)
C: 1/16 ÷ (5 3/4 + 4 1/2)
D: (5 3/4 + 4 1/2) ÷ 1/16
Answer is D dont go the the other answers link
Determining Truth Values
If p →q is true, which compound statement has the same truth value?
Ap →q is false and q→ p is true.
Bp →q is false and q→ p is false.
Cp →q is true and q→ p is false.
Dp →q is true and q→ p is true.
Therefore , the solution of the given problem of compound statements comes out to be choice D is right.
What is compound statement ?Like in any language, connectives are used to combine simpler statements to create complex statements in mathematics. And, or, if... then, and if and only if are the connectives that are frequently employed in mathematics. The truth value of the a compound statement is determined by variable the truth values of its simpler parts.
Here,
Given :function
To discover the true values
Which compound statement,
if p →q is true, will have the same truth value?
The formulation of the logic biconditional link
p ↔ q, which is "p → q and q → p," provides the direct connection to the solution.
As a result, choice D is right.
Therefore , the solution of the given problem of compound statements comes out to be choice D is right.
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A jet travels 460 miles in 5 hours. At this rate, how far could the jet fly in 15 hours?
Answer:
1380 miles in 15 hours (92 mph).
Step-by-step explanation:
460/5 = 92.
92 mph.
92*15=1380
1380 miles in 15 hours
Answer:
1380 miles in 15 hours
Step-by-step explanation:
*Assuming the jet travel at a constant speed.
First, find the amount the jet flew in 1 hour. Divide 460 miles with 5 hours:
460/5 = 92
The jet travels 92 miles per hour.
Next, multiply 92 mph with 15 hours:
92 x 15 = 1380 miles
1380 miles in 15 hours is your answer.
If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is?
If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.
What is probability?
Probability can be regarded as a measure of the likelihood of an event that can take place.
It should be noted that Many events cannot be predicted with total certainty, hence , If one item is chosen from m items, a second item is chosen from n items, and a third item is chosen from p items, the total number of three-item choices is MNP.
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Destiny has a bag with 3 green, 4 red, and 5 blue marbles. Destiny will pick 2 marbles from the bag, one at a time without looking. She will not replace a marble before picking the next marble. What is the probability of Destiny picking a red marble, followed by a green marble?
A. 1/12
B. 1/11
C. 7/12
D. 1/2
help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Febuary 10th because on the left colom it showss the dates just look for the 10
the throw of the dice or the drawing of a card is known as ____ behavior.
The throw of the dice or the drawing of a card is known as random behavior.
Random behavior refers to events that occur by chance, without any predictability or pattern. These events cannot be influenced or controlled, and their outcomes are determined by the laws of probability. In games such as dice and card games, the outcomes are determined by random variables, such as the position of the dice or the shuffle of the deck.
Random behavior can also occur in other contexts, such as weather patterns or the stock market, where events are subject to unpredictable fluctuations. Understanding random behavior is important in many fields, including mathematics, statistics, and economics, as it can help us make informed decisions based on the probability of different outcomes.
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what number can be to 327 to get a result/ sum of 0?
Answer:
- 327 can be added to 327 to get a sum of 0.
Hope this helps :)
Step-by-step explanation:
327 + (- 327) = 0 ✓
on thursday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on thursday?
The number of hamburgers sold on Thursday is 106
Finding unknown quantity from Linear equation:
The Linear equation is a mathematical statement that is used to find an unknown quantity in a problem. Here to represent the Unknow qualities we use variables like x, y, z, etc.
Here we have,
On Thursday, a local hamburger shop sold a combined total of 424 hamburgers and cheeseburgers.
Since we don't know the number of hamburgers and cheeseburgers.
Represent them with variables x and y
Let x be the number of hamburgers
and y be the number of cheeseburgers
=> x + y = 424 ----(1)
Given that,
The number of cheeseburgers sold was three times the number of hamburgers sold
=> y = 3x -----(2)
From (1) and (2)
=> x + 3x = 424
=> 4x = 424
=> x = 106
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The complete question is
On Thursday, a local hamburger shop sold a combined total of 424 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
I GIVE BRAIN LEST Which of the following is true about an
estuary?
It is all fresh water.
It is all salty water.
It has very few organisms.
It is affected by tides.
==========================================================
Explanation:
An estuary is where a river pours into the ocean. So that means fresh water mixes with salt water here. This allows us to rule out choices A and B.
According to NOAA, their site says "Estuaries are one of the most productive ecosystems in the world, so there is a great diversity of animals and plants that live there". In other words, a lot of plants and animals live here, so we can rule out choice C.
Choice D is the answer because tides do affect estuaries. This is simply because the ocean is pretty much right next to it, or attached to it. So it's expected that a high tide would cause the water level in an estuary to increase.
Answer:
it is affected by tides that's the conclusion I have come to
help me pls..
I don't need an explanation
Answer:
they are both 41
Step-by-step explanation:
just do 90- 49= 41
Answer:
angle JOK- 41
angle MON - 41
Step-by-step explanation:
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
The length of a rectangle is five times its width. If the perimeter of the rectangle is 108cm, find its length and width
Please answer correctly please and thank you :)
Answer:
length is 45, width is 9.
Step-by-step explanation:
5+5+1+1=12
108/12=9 (width)
9*5= 45(length)
45+45+9+9= 108
Answer: the length of a rectangle is 45 cm,
the width of a rectangle is 9 cm.
Step-by-step explanation:
Let the width of a rectangle is x.
Hence, the length of a rectangle is 5*x.
P=2*(x+5x)
108 =2*6x
108=12x
Divide both parts of the equation by 12:
9 cm=x
5*9 cm=5*x
45 cm=5x
How do you find the volume of cubes and rectangular prisms?
To find the volume of a cube or rectangular prism, multiply the length, width, and height of the shape. The formula is V = l × w × h, where V represents volume, l represents length, w represents width, and h represents height.
Cubes and rectangular prisms are both three-dimensional shapes, which means they have volume. Volume is the amount of space an object occupies. To find the volume of a cube or rectangular prism, you need to know its dimensions. The dimensions of a cube or rectangular prism are its length, width, and height.
Volume of a Cube
A cube is a three-dimensional shape that has six equal square faces. To find the volume of a cube, you need to know the length of one of its sides. The formula for finding the volume of a cube is:
Volume = side x side x side
Or
V = s³
Where V is the volume and s is the length of one of its sides.
Volume of a Rectangular Prism
A rectangular prism is a three-dimensional shape that has six faces. The faces of a rectangular prism are rectangles. To find the volume of a rectangular prism, you need to know the length, width, and height of the shape. The formula for finding the volume of a rectangular prism is:
Volume = length x width x height
Or
V = lwh
Where V is the volume, l is the length, w is the width, and h is the height of the rectangular prism.
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3. Triangle RST has angle measures as shown. S 5(x+3) 25° 62 R (a) What is the value of x? Show your work. (b) What is the measure of angle S? Show your work.
Answer:
X=2
Step-by-step explanation:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
2. What are the values of a and b?
10
6
8
b
a
(1 point)
Answer:
a=9/3,b=15/2 using some postulate you will get answer like sss,sas,aa.
Multiply and express in the form of a complex number a + b i.
(-5 + 3i)(- 4 + 8i)
Answer:
-4 - 52 i
Step-by-step explanation:
Hope this helps :)
Choose the expression that uses the GCF and the Distributive property to find 66 + 24 + 78.
Answer:
112
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
The greatest common factor is 6.
in the figure above, m║n and a║b. which of the following is true about x?
answer:
A:x=30
B:x+30=90
C:x=90+30
D:x+30=180
The true statement about angle x is determined as x + 30 = 180 .
option D.
What is a corresponding angle?
Corresponding angles in geometry are defined as the angles which are formed at corresponding corners when two parallel lines are intersected by a transversal.
From the given two parallel lines m and n, we can conclude the following;
angle formed by the intersection of line a and m = x ( corresponding angles are equal).
the angle formed by the intersection of line b and m, above angle 30 = x ( corresponding angles are equal)
So the angle on the same straight line with 30 is angle x
x + 30 = 180 ( sum of angles on a straight line)
x = 180 - 30
x = 150⁰
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4) the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what percentage of bottles contain less than 32 oz of soda?
40.13 percentage of the bottles contain less than 32 oz of soda.
Mean (μ) = 32.3 oz
Standard Deviation (σ) = 1.2 oz
Threshold value (X) = 32 oz
We can use the standard normal distribution (Z-distribution) to calculate the cumulative probability.
First, let's standardize the threshold value using the formula
Z = (X - μ) / σ
Z = (32 - 32.3) / 1.2 Z ≈ -0.25
Next, we'll look up the cumulative probability corresponding to Z = -0.25 in the standard normal distribution table or use a calculator.
From the standard normal distribution table or calculator, we find that the cumulative probability for
Z = -0.25 is approximately 0.4013.
This means that approximately 40.13% of bottles contain less than 32 oz of soda.
Therefore, about 40.13% of the bottles contain less than 32 oz of soda.
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