Answer:
160 total reviews
Step-by-step explanation:
65% = 104
100% = x
cross multiplication
104 x 100 = 10400
10400 / 65 = 160
A factory
produces cylindrical metal bar. The production process can be
modeled by normal distribution with mean length of 11 cm and
standard deviation of 0.25 cm.
There is 14% chance that a randomly selected cylindrical metal bar has a length longer than K. What is the value of K?
To solve this problem, we need to find the z-score corresponding to the 14th percentile of the normal distribution. We can then use this z-score to find the corresponding value of K.
First, we find the z-score corresponding to the 14th percentile using a standard normal distribution table or calculator. The 14th percentile is equivalent to a cumulative probability of 0.14, which corresponds to a z-score of approximately -1.08.
Next, we use the formula z = (x - μ) / σ to find the corresponding value of K. Rearranging this formula, we get x = μ + z * σ. Plugging in the values we know, we get:
K = 11 + (-1.08) * 0.25
K = 10.73 cm
Therefore, there is a 14% chance that a randomly selected cylindrical metal bar has a length longer than 10.73 cm.
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Lucas has a bag of marbles with 3 blue marbles, 3 white marbles, and 5 red marbles.
Find the following probabilities of Lucas drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn. (Give your answer as a fraction)
a) A Blue, then a red =
b) A red, then a white =
c) A Blue, then a Blue, then a Blue =
a) Probability of drawing a Blue, then a Red:
There are a total of 11 marbles in the bag. The probability of drawing a Blue on the first draw is 3/11. After drawing a Blue, there are 10 marbles left in the bag, including 5 Red marbles. The probability of drawing a Red on the second draw is 5/10. Therefore, the probability of drawing a Blue, then a Red is (3/11) * (5/10) = 15/110 = 3/22.
b) Probability of drawing a Red, then a White:
The probability of drawing a Red on the first draw is 5/11. After drawing a Red, there are 10 marbles left in the bag, including 3 White marbles. The probability of drawing a White on the second draw is 3/10. Therefore, the probability of drawing a Red, then a White is (5/11) * (3/10) = 15/110 = 3/22.
c) Probability of drawing three Blues in a row:
The probability of drawing a Blue on the first draw is 3/11. After drawing a Blue, there are 10 marbles left in the bag, including 2 Blue marbles. The probability of drawing a Blue on the second draw is 2/10. After drawing two Blues, there are 9 marbles left in the bag, including 1 Blue marble. The probability of drawing a Blue on the third draw is 1/9. Therefore, the probability of drawing a Blue, then a Blue, then a Blue is (3/11) * (2/10) * (1/9) = 6/990 = 1/165.
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Please please help, I really cant figure this out please I need help
Jamelle performs three separate determinations of the density of a mineral sample. She gets values of 4.58 g/cm3, 4.79 g/cm3, and 4.55 g/cm3.
Calculate the average value of the density of the mineral.
Answer:
Step-b 4.55 g/cmy-step explanation:
When a trained dog learns to sit when you blow a whistle once and to lie down when you blow the whistle twice, the dog is showing: Question 24 options: Social Learning Stimulus Generalization Problem Solving Skills Stimulus discrimniation
Answer:
Probably Stimulus discrimination.
Step-by-step explanation:
A convex polyhedron has 20 faces that are congruent equilateral triangles. What is the name of the solid?
triangular prism
triangular pyramid
octahedron
icosahedron
Answer:
The name of the solid with 20 faces that are congruent equilateral triangles is icosahedron.
The solid you are referring to is called an icosahedron. An icosahedron is a specific type of convex polyhedron that has 20 faces. In this case, all 20 faces are congruent equilateral triangles. Option d is correct answer.
To understand why this solid is called an icosahedron, let's break down the term. "Icosa-" comes from the Greek word for twenty, while "-hedron" means face. Therefore, an icosahedron is a polyhedron with twenty faces.
Each face of an icosahedron is an equilateral triangle, meaning that all three sides of the triangle are equal in length, and all three angles are equal to 60 degrees. Since all 20 faces are congruent, they have the same side lengths and angles.
The icosahedron has a total of 12 vertices and 30 edges. The vertices are the points where three edges meet, and the edges are the line segments connecting the vertices. The icosahedron has a symmetrical and regular structure, making it one of the five Platonic solids.
An icosahedron is a convex polyhedron with 20 congruent equilateral triangle faces, 12 vertices, and 30 edges.
Option d is correct answer.
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find the value of each variable
Answer:
-225
Step-by-step explanation:
Simple and best practice solution for 9x-25=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
plzzz help me with this math im so confused!!
Answer:
I have made it in above picture
Answer:
2 A.)
1) 3-4x+8x^2-6+2x-5x^2
2) 8x^2-5x^2-4x+2x+3-6
3) 3x^2-2x-3
B.) 3x-5-7x^2+2+6x^2+5x
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
On Monday, 355 people ate at The Burger Barn. On Tuesday, 339 people ate there. On Wednesday, 394 people ate there. About how many people ate at The Burger Barn altogether on the three days?
please help me find the X
Answer:
x=55 (i think)
Step-by-step explanation:
190=(2x-10)+90
(subtract 90 from 190)
100=(2x-10)
(add 10 to 100)
110=2x
(divide by 2)
55=x
solve the system u=2x-3y, v=x+5y for x and y in terms of u and v. then find the value of the jacobian
the Jacobian matrix J for the system is: J = [ 1/2 0 ] [ -1/13 2/13 ]
To solve the system of equations:
u = 2x - 3y,
v = x + 5y,
We can use the method of substitution.
1. Solve the first equation for x in terms of u and y:
u = 2x - 3y
Rearrange the equation:
2x = u + 3y
Divide both sides by 2:
x = (u + 3y) / 2
2. Substitute the expression for x in the second equation:
v = x + 5y
Replace x with (u + 3y) / 2:
v = (u + 3y) / 2 + 5y
Simplify:
v = (u + 3y + 10y) / 2
v = (u + 13y) / 2
Now we have x = (u + 3y) / 2 and y = (2v - u) / 13.
To find the Jacobian, we need to compute the partial derivatives of x and y with respect to u and v.
Partial derivative of x with respect to u:
∂x/∂u = 1/2
Partial derivative of x with respect to v:
∂x/∂v = 0
Partial derivative of y with respect to u:
∂y/∂u = -1/13
Partial derivative of y with respect to v:
∂y/∂v = 2/13
The Jacobian matrix J is given by:
J = [ ∂x/∂u ∂x/∂v ]
[ ∂y/∂u ∂y/∂v ]
Substituting the partial derivatives:
J = [ 1/2 0 ]
[ -1/13 2/13 ]
Therefore, the Jacobian matrix J for the system is:
J = [ 1/2 0 ]
[ -1/13 2/13 ]
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What is the equation of the line that passes through the point (4,1) and (8, -4)?
Answer:
y= -5/4x+
Step-by-step explanation:
find the gradient first ∆y/∆5x
-4-1/ 8-4
=-5/4
assume one of the points to be x, y
y-1/ x-4 =-5/4
cross multiply
4y-4=-5x+20
4y= -5x+20+4
divide both sides by 4
y= -5/4x+
From a point P on level ground, the angle of elevation of a vertical mast is 19°. The distance from P to the
foot of the mast is 150 metres.
Calculate the height of the mast. Give your answer to 3 significant figures.
the height of the mast is approximately 51.5 meters.
what is approximately ?
"Approximately" means that the value is an estimate that is very close to the true value but may not be exact. In the context of the answer I provided, "approximately" indicates that the height of the mast is very close to 51.5 meters but may be slightly more or less than that value.
In the given question,
Let's call the height of the mast "h". We can use trigonometry to find the value of "h".
If we draw a diagram, we can see that the angle of elevation of the mast is the same as the angle between the ground and a line from P to the top of the mast. We can call this angle "θ".
We know that tan(θ) = opposite/adjacent = h/150.
We also know that tan(19°) = 0.3431 (rounded to 4 decimal places).
So we can set up an equation:
0.3431 = h/150
To solve for "h", we can multiply both sides by 150:
h = 0.3431 x 150
h = 51.465 (rounded to 3 significant figures)
Therefore, the height of the mast is approximately 51.5 meters.
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adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval
The margin of error for a 95% confidence interval is 0.263.
What is normal distribution?A probability distribution which is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The probability bell curve is more properly described as the normal distribution.The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has an outlier of 3 and zero skew.Not everyone symmetrical distributions are normal, but all normal distributions are symmetrical.The formula for margin of error is ;
ME = (z × σ) / √ n
The confidence interval is 95% = 0.95.
Mean (σ) =14
standard deviation = 3.
Total population (n) = 500
Substitute the values in the formula;
ME = (z × σ) / √ n
= (1.96 × 3)/√500
= (1.96 × 3)/22.36
ME = 0.263
Therefore, the margin of error for a 95% confidence interval is 0.263.
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The complete question is -
A study of five hundred adults found that the number of hours they spend on social networking sites each week is normally distributed with a mean of 14 hours. The population standard deviation is 3 hours. What is the margin of error for a 95% confidence interval?
Select all the equations below that have a slope of -5.
A
y = 2x – 5
B
y = – 5x + 2
C
y = 10 – 5x
D
y = 10x – 5
Answer:
B and C
Step-by-step explanation:
they have -5x, it doesn't really matter on their order
What is the center of the circle with a diameter having endpoints of (-3,2) and (4,2)
5 friend pay £18 each for hall practice how much would 15 friend pay with invere proportion
15 friends pay £6 each for hall practice with inverse proportion
Friends = 5
Each pays = £18
Total payments = 5*18
= 90
Friends = 15
Each pays = 90/15
= 6
Hence, 15 friends pay £6 each for hall practice with inverse proportion.
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Please help
Work out the value of angle x
Answer:
pleaase halp me
Step-by-step explanation:
Answer:
x = 40°
Step-by-step explanation:
110° and the base angle of the isosceles triangle are adjacent and supplementary, thus
base angle = 180° - 110° = 70°
The 2 bases are congruent and have measure of 70°, thus
x = 180° - 70° - 70° = 180° - 140° = 40°
What do the Zero Exporient and Negative Exponent Properties mean?
Answer:
Step-by-step explanation:
Zero exponent numbers = 1
When you try to multiply an exponent by zero, it equals one.
Negative exponents is just a 1/x
Negative just flips over the equation.
For example, 9^-1
1/9^1
1/9
Answer:
Step-by-step explanation:
Zero Exponent Property: The zero exponent rule states that when a nonzero number is raised to the power of zero, it equals 1.
Example: x^0 = 1
Negative Exponent Properties: the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice verse. It also describes how many times we have to multiply the reciprocal of the base.
An example of negative exponents is \(3^{-2}\).
Solve for
x
x
−
1
3
=
6
Give your answer as an improper fraction.
Answer:
x
=
13
+
6
=
19
Step-by-step explanation:
this is so simple
Step-by-step explanation:
x=19 ayan na yung sagot huh
Evaluate the expression 2(8-4) - 10 ÷ 2
what 8 and 2 divided by 9
The divisions results to 0.88 and 0.22.
What is Division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
How many groups will be created, for instance, if 30 students need to be separated into groups of five for a sporting event? The division operation can be used to quickly and easily fix such issues. In this case, we must divide 30 by 5.
Given:
8 and 2 divided by 9
When 8 is divided by 9
=8/9
= 0.88
and, when 2 is divided by 9
= 2/9
= 0.22
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What is the value of the function Y equals 2X plus 3 When x equals -1
Answer:
1
Step-by-step explanation:
Y=2x+3
Y=2×(-1)+3
Y=1
99. Sports In the 2005 Women's NCAA Championship
basketball game, Baylor University defeated Michigan
State University by a score of 84 to 62. Baylor won by
scoring a combination of two-point field goals, three-
point field goals, and one-point free throws. The number
of two-point field goals was six more than the number of
free throws, and four times the number of three-point field
goals. Find the combination of scores that won the
National Championship for Baylor. (Source: NCAA)
The combination of scores that won the National Championship for Baylor are 18 free throws, 24 two point field goals and 6 three-point field goals.
What is an Equation?An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.
Either sides of an equation is called as left hand side and right hand side.
Given Baylor University defeated Michigan State University by a score of 84 to 62.
Score of Baylor University = 84
Baylor won by scoring a combination of two-point field goals, three-point field goals, and one-point free throws.
Let the number of free throws = x
The number of two-point field goals was six more than the number of free throws.
Number of two point field goals = x + 6
Also, the number of two-point field goals was four times the number of three-point field goals.
Number of two point field goals = 4 (number of three-point field goals)
So, 4 (number of three-point field goals) = x + 6
Number of three-point field goals = (x + 6) / 4
Score for free throw = 1 point × x
Score for 2 point field goal = 2 points × (x + 6)
Score for 3 point field goal = 3 points × [(x + 6)/4]
[1 × x] + [2 (x+6)] + [3 ((x+6)/4] = 84
x + 2x + 12 + 3/4 x + 18/4 = 84
3.75x + 16.5 = 84
3.75x = 67.5
x = 18
Number of free throws = x = 18
Number of two point field goals = x + 6 = 18 + 6 = 24
Number of three-point field goals = (x + 6) / 4 = 24/4 = 6
Hence the combination are 18 free throws, 24 two point field goals and 6 three-point field goals.
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Find the surface area of the figure below.
Round to the nearest tenth. Do not
use commas in your answer or units of
measures. Only use numbers and decimals.
Answer:
2167.7 sq yds
Step-by-step explanation:
SA(cone) = πr² + πrs ('s' = slant height)
= π(15)² + π(15)(31)
= 225π + 465π
= 690π
= 2167.7
Determine the next three terms in the following sequence:
-1, 1/2, -1/4, 1/8,__,__,__,….
Answer:
B
Step-by-step explanation:
1 : 2 = 1/2 : 2 = 1/4 : 2 = 1/8 : 2 = 1/16 : 2 = 1/32 : 2= 1/64
The price of a new car was 12,500 it is reduced to 11,625 work out the percentage reduction
Answer:
93%.
Step-by-step explanation:
% Decrease = Decrease ÷ Original Number × 100
Divde 11,625 by 12,500 and multiply the answer by 100.
11,625 ÷ 12,500 × 100 = 93
The percentage reduction is 93%.
Pleaseeeee helpppp!!!!!
Answer:
A.
Step-by-step explanation:
Answer:
I believe A
Step-by-step explanation:
PLEASE HELP TO SOLVE QUESTION with full process c) Mr. Thapa bought a motorbike for Rs 1,25,000 and fixed its price 20 % above the
cost price. Then, he allowed 10 % discount and sold to Mr. Gurung. How much Mr.
Gurung paid for it with 13 % VAT?
Answer: Rs. 1,52,550
Step-by-step explanation:
CP of motorcycle = 125000
Selling Price fixed = 125000 + 20% = 150000
10% discount = 150000*10% = 15000
SP after 10% discount
= 150000-15000= 135000
VAT at 13% = 135000 * .13 = 17550
Mr Gurung paid total
135000 + 17550 = 152550
Answer:
₹152550
Step-by-step explanation:
CP= ₹125000
MP= ₹125000+20%=₹125000*1.2= ₹150000
Discounted price= ₹150000-10%= ₹150000*0.9=₹135000
Paid with 13%VAT added= ₹135000*1.13= ₹152550
40÷1+3‐(3×7)+7-5 use pedams to answer the following question
Hey there!
40 / 1 + 3 ‐ (3 * 7) + 7 - 5
= 40 + 3 - (3 * 7) + 7 - 5
= 43 + 7 - 5 - 3 * 7
= 50 - 5 - 3 * 7
= 45 - 3 * 7
= 45 - 21
= 24
Answer: 24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
given the diagram below find x and the measure of pac and tac
Answer:
8, 40°, 50°
Step-by-step explanation:
∠PAT is a right angle triangle so it sums up to 90°
5x + 7x - 6 = 90
12x - 6 = 90
12x = 90 +6
12x = 96
x = 96 ÷ 12
x = 8
Substitute...
∠PAC = 5x
5 × 8 = 40
∴∠PAC is 40°
∠TAC = 7x - 6
7 × 8 - 6 = 50
∴∠TAC is 50°