Class Activity 16M Using Fraction Multiplication and Addition to Calculate a Probability paper clip, an opaque bag, and blue, red, and green tiles would be helpful A game consists of spinning the spinner in Chess Activity 161, and then picking a small tile from a bag containing I bluetie, 3 red tiles, and I gruentile (All tiles are identical except for color, and the person picking a tile cannot see into the baj, so the choice of a tile is random.) To win the game, a contestant must pick the same color tile that the spinner landed on. So a contestant wins from either a blue wpin fol- lowed by a blue tile or a red spin followed by a red tile. 1. Make a guess What do you think the probability of winning the game is? 2. If the materials are available, play the game a number of times. Record the number of times you play the game each game consists of both a spin and a pick from the bags, and record the number of times you win. What fraction of the time did you win? How does this compare with your gues in part 1 3. To calculate the theoretical) probability of winning the game, imagine playing the game many times. Answer the questions below in order to determine the probability of winning the game. a. In the ideal, what fraction of the time should the spin be blue? Show this by shading the rectangle below In the ideal, what traction of those times when the spin is blue should the tile that is chosen be blue? Show this by further shading the rectangle below. Therefore, in the ideal, what fraction of the time is the spin blue and the tile blue Explain how you can determine this fraction from the shading of the rectangle and from the meaning of fraction multiplication b. In the ideal, what fraction of the time should the spin be red? Show this by shad- ing the rectangle below. In the ideal, what fraction of those times when the spin is rod should the tile that is chosen be red? Show this by further shading the rectangle below. Therefore, in the ideal, what fraction of the time is the spin red and the tile red? Explain how you can determine this fraction from the shading of the rectangle and from the meaning of fraction multiplication. c. In the ideal, what fraction of the time should you win the game, and therefore, what is the probability of winning the game? Explain why you can calculate this answer by multiplying and adding fractions. Compare your answer with parts 1 and 2. A rectangle representing playing the game many times
Answers
The game involves spinning a spinner and picking a tile from a bag. We need to determine the probability of winning the game.
In this game, the probability of winning is determined by the outcomes of the spinner spin and the tile picked from the bag. To calculate the theoretical probability, we consider the ideal scenarios and use fraction multiplication and addition.
a. The ideal fraction of times the spinner should land on blue can be represented by shading a portion of the rectangle. Similarly, the fraction of times a blue tile should be chosen given a blue spin is shaded within that region. Multiplying these fractions gives us the fraction of times both events occur (spin is blue and tile is blue), representing the ideal probability of winning when the spinner is blue.
b. The ideal fraction of times the spinner should land on red is shaded, along with the fraction of times a red tile should be chosen given a red spin. Multiplying these fractions gives us the fraction of times both events occur (spin is red and tile is red), representing the ideal probability of winning when the spinner is red.
c. The ideal fraction of times a win should occur can be calculated by adding the fractions from parts a and b, representing the probability of winning the game. Fraction multiplication and addition are used because the probability of winning is influenced by the combined probabilities of the spinner and tile outcomes.
Comparing the calculated ideal probability with the actual results from playing the game multiple times (recorded in part 2) allows us to assess how closely the theoretical probability aligns with the observed outcomes.
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Related Questions
Marcos has 2003 pairs of shoes. In how many different ways can he select a left then a right shoe?
Answers
Answer:
4006
Step-by-step explanation:
is 8.75x linear or non-linear
Answers
Find the degree of the equation to determine if linear.
Linear
1PLEASE HELP!!! Need to finish
Answers
Answer: Heyaa! ~
Your Answer is... -32
Step-by-step explanation:
Simplify the expression. [7-3(-8+5)]Your input: evaluate −2(7−3(−8+5)) when x=1, y=2, z=5.Hopefully this helps you! ^
you need to foil the part in the parentheses (first, outside, inside, last) so you would multiply 7 x -8 to get -56 then 7 x 5 to get 35 then 3 x 8 to get 24 then -3 x 5 to get -15, after that add all the numbers together (-56+35+24-15) you should end up with -12, then you want to multiply that by -2 and you end up with 24 as your final answer
i hope this helps! remember that everything in parentheses comes first in a math equation!!
An electron has a normalized wavefunction
ψ(x)=
a
5
30
[(a/2)
2
−x
2
]
ψ(x)=0
−a/2
x≤−a/2,x>a/2
which is not an eigenfunction of the kinetic energy operator. Part A Find the expectation value of the kinetic energy in terms of the constant a. Express your answer in terms of a, reduced Plank's constant ℏ, and electron rest mass m
e
.
Answers
The expectation value of the kinetic energy, <T>, in terms of the constant a, reduced Planck's constant ℏ, and electron rest mass \(m_e\), is <T> = (ℏ²/2\(m_e\)) * a².
To find the expectation value of the kinetic energy, we first need to determine the kinetic energy operator and then calculate the integral of the wavefunction multiplied by the kinetic energy operator.
The kinetic energy operator, T, is defined as:
T = -(ℏ²/2\(m_e\)) * (d²/dx²),
where ℏ is the reduced Planck's constant and \(m_e\) is the electron rest mass.
The expectation value of the kinetic energy, <T>, is given by:
<T> = ∫ ψ*(x) * T * ψ(x) dx,
where ψ*(x) represents the complex conjugate of ψ(x).
Let's calculate the expectation value:
<T> = ∫ ψ*(x) * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * ψ(x) dx,
Considering the given wavefunction, ψ(x), has different definitions for different x ranges, we need to split the integral into three parts:
For x ≤ -a/2:
<T> = ∫ ψ*(x) * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * ψ(x) dx
= ∫ [0] * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * [0] dx
= 0,
as ψ(x) = 0 for x ≤ -a/2.
For -a/2 < x < a/2:
<T> = ∫ ψ*(x) * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * ψ(x) dx
= ∫ [(a/5)² - x²] * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * [(a/5)² - x²] dx
= ∫ [-(a²/25) + x²] * [-(ℏ²/2\(m_e\)) * (-2)] dx
= (ℏ²/2\(m_e\)) * ∫ [(a²/25) - x²] dx
= (ℏ²/2\(m_e\)) * [ (a²/25)x - (x³/3) ] ∣ from -a/2 to a/2
= (ℏ²/2\(m_e\)) * [ (a³/75) - (a³/3 - a³/75) ]
= (ℏ²/2\(m_e\)) * [ (a³/75) + (74a³/75) ]
= (ℏ²/2\(m_e\)) * (75a³/75)
= (ℏ²/2\(m_e\)) * (a³/a)
= (ℏ²/2\(m_e\)) * a²,
as the terms with x vanish after integrating.
For x ≥ a/2:
<T> = ∫ ψ*(x) * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * ψ(x) dx
= ∫ [0] * [-(ℏ²/2\(m_e\)) * (d²/dx²)] * [0] dx
= 0,
as ψ(x) = 0 for x ≥ a/2.
Therefore, the expectation value of the kinetic energy, <T>, in terms of the constant a, reduced Planck's constant ℏ, and electron rest mass \(m_e\), is:
<T> = (ℏ²/2\(m_e\)) * a².
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a sweatshirt at the store is being offered at a 10% discount. if the original price of the sweatshirt is x , write an expression that represents the discounted price of the sweatshirt.
Answers
Answer:
original price is x
discount is 10%
discounted price =10%of x
=10/100×x
=x/10
Answer: original price is x
discount is 10%
discounted price =10%of x
=10/100×x
=x/10
Find the measure of
a.90°
b.47°
c.86°
d.37°
Answers
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Hi! I have been looking for this awnsers for days now and I still have no clue how to do this problem. Please Help :)
Answers
Answer: 480 sq ft
Step-by-step explanation:
for two rectangles on right do 8*16 =128*2 = 256
the rectangle on the right is also 128
total of all rectangles is 384 ft
now for the triangles
formula: 1/2 b*h
1/2 * 16*6 = 48
multiply that by 2 for both triangles
you have 96
add that to total and you get
480 sq ft
Answer:
Step-by-step explanation:
The hypotenuse of the triangles is the length of the rectangles so the length of the rectangles is 16 ft. The width of the rectangles is 8 ft. There are 3 rectangles so the surface area of them is:
(16*8)*3 = 384\(ft^{2}\)
The area of a triangle is base times height divided by two. Here, the height of the two triangles is 6 ft and the base is 16 ft. So, the area of the two triangles is:
\(\frac{6*16*2}{2}\) = 16*6 = 96 \(ft^2\)
Add the two areas together to get the surface area.
384\(ft^2\) + 96\(ft^2\\\) = 480\(ft^2\)
Hence, the surface area of the triangular prism is 480\(ft^2\)
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What's the value of this python expression: (2**2) == 4?
Answers
Answer:
Python will return:
True
Step-by-step explanation:
The math function ** is an exponent indicator.
The equation you made was:
\(2^2 =4\)
When you run this in python, it will return as true.
It is run as a Boolean expression because you have already provided the answer to the expression with the "==" statement.
If you had provided an incorrect answer (setting it equal to any number other than 4), it would return False.
Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102
Answers
Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
Triangle definitionA triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.
In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.
One of the properties of any triangle is that the sum of the interior angles is equal to 180°.
Missing angle value in this caseIn this case, you know that:
One interior angle measures 79°.Another interior angle measures 23°.The sum of the interior angles is equal to 180°.So the value of the missing angle can be calculated by:
79° + 23° + missing angle = 180°
Solving:
102° + missing angle = 180°
missing angle= 180° - 102°
missing angle= 78°
Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
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Answer:
The answer is 78.
Step-by-step explanation:
Person above is right and I'm also taking the test!!
Julie and Barry Spinos purchased a house for $96,400. They made a 25 percent down payment and financed the remaining amount at 5. 50 percent for 30 years. Their monthly payment is $410. 66. How much of the first monthly payment is used to reduce the principal?
Answers
The first monthly charge has about $78.78 allotted in the direction of reducing the principal.
The total buy charge of the house is $96,400 and the Spinoses made a 25% down payment, because of this they paid $96,400 x 0.25 = $24,100 in advance.
Therefore, the final quantity that they financed is $96,400 - $24,100 = $72,300.
They financed this amount at 5.50% for 30 years, which gives us the following method for calculating the monthly payment (P):
P = (r * PV) / (1 - (1 + r)^(-n))
in which:
r = month-to-month interest rate PV = present value n = overall range of paymentsSubstituting the values, we get:
P = (0.00458 * 72,300) / (1 - (1 + 0.00458)^(-360))
P ≈ $410.66
We recognise that the monthly payment is $410.66 and we will calculate the interest portion of the primary monthly price as follows:
interest = balance * monthly interest price
interest = $72,300 * (5.50% / 12) ≈ $331.88
To calculate the amount of the primary monthly charge this is used to lessen the fundamental, we subtract the interest component from the total monthly payment:
$410.66 - $331.88 ≈ $78.78
Thus, the first monthly charge has about $78.78 allotted in the direction of reducing the principal.
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Harmony has 23 cups of pecans to make pecan pie. She needs 3 cups of pecans for each pie.
Which statement is true?
A
Harmony has enough pecans to make 7 pies and will have 2 cups of pecans left over.
B
Harmony has enough pecans to make 7 pies and will have 1 cup of pecans left over.
C
Harmony has enough pecans to make 6 pies and will have 1 cup of pecans left over.
D
Harmony has enough pecans to make 6 pies and will have 0 cups of pecans left over.
Answers
Answer:
The correct answer is A
Step-by-step explanation:
A is correct because you divide 23 and 3 to equal 7 then you do 7 times 3 to equal 21 cups meaning you have enough pecans to make 7 pies and 2 cups of pecans left over.
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24. Find the grade-point average (GPA) for the grades indicated below. [ An A-4, B-3, C-2, D=1, F=0] Units Grade C 2372 A F
Answers
To find the grade-point average (GPA) for the grades indicated below,
We will calculate the total grade points and divide it by the total number of units. The values of the given grades are: An A-4B-3C-2D=1F=0 Units Grade C 2372 A F
Therefore, Grade points for C: 2 x 3 = 6
Grade points for A: 4 x 2 = 8
Grade points for F: 0 x 1 = 0
Adding up the grade points = 6 + 8 + 0 = 14
Total units = 3 + 2 + 3 = 8
Average GPA = Total grade points / Total units Average
GPA = 14 / 8 = 1.75
Hence, the GPA is 1.75.
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If seven is added to four times a number, the result is twenty-five more than the number. Round your answer to the nearest integer, if necessary.
Answers
Answer:
6
Step-by-step explanation:
first, set up the equation
4x+7 = x+25
solve for x:
4x = x + 18
3x = 18
x = 6
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a machine shop produces spindles. the spindles are -inch rods used in a variety of equipment. a piece of equipment used in the manufacture of the spindles malfunctions on occasion and places a single gouge somewhere on the spindle. however, if the spindle can be cut so that is has consecutive inches without a gouge, then the spindle can be salvaged for other purposes. assuming that the location of the gouge along the spindle is best described by a uniform distribution, what is the probability that a defective spindle can be salvaged?
Answers
the main answer is that the probability that a defective spindle can be salvaged is 1/2. This is based on the assumption that the location of the gouge along the spindle is best described by a uniform distribution.
To find the probability that a defective spindle can be salvaged, we need to determine the length of the longest consecutive segment without a gouge.
Let's assume the length of the spindle is L inches. Since the location of the gouge is described by a uniform distribution, each inch along the spindle has an equal probability of having a gouge.
The probability that the first inch does not have a gouge is 1 (since it is the starting point).
For each subsequent inch, the probability of not having a gouge is (L - 1)/L, because there are L - 1 inches left without a gouge out of the remaining L inches.
Therefore, the probability of having consecutive inches without a gouge is the product of these probabilities for each inch. This can be calculated as (1 * (L - 1)/L * (L - 2)/(L - 1) * ... * 2/3 * 1/2).
Simplifying the expression, we get (L - 1)/L * (L - 2)/(L - 1) * ... * 2/3 * 1/2 = 1/2.
So, the probability that a defective spindle can be salvaged is 1/2.
the main answer is that the probability that a defective spindle can be salvaged is 1/2. This is based on the assumption that the location of the gouge along the spindle is best described by a uniform distribution.
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Select all of the following true statements if r=real numbers, n= natural numbers, and w={0, 1, 2,...}.
Answers
Answer:
Step-by-step explanation:
choices:
W c Z
R c W
0 E Z
∅ c R
{0, 1, 2, ...} c_ W
-2 E W
On a map, the scale shown is 1 inch : 5 miles. If a park is 75 square miles, what is the area of the park on the map?
Answers
Given:
On a map, the scale shown is 1 inch : 5 miles.
Area of park = 75 square miles.
To find:
The area of the park on the map.
Solution:
Ratio of the areas of similar figures is equal to the ratio square of their corresponding sides.
\(\dfrac{\text{Area of park on the map}}{\text{Actual area of the park}}=\dfrac{\text{Side of park in map}^2}{\text{Actual side of park}^2}\)
Let A be the area of the park on the map.
\(\dfrac{A}{75}=\dfrac{1^2}{5^2}\)
\(A=\dfrac{1}{25}\times 75\)
\(A=3\)
Therefore, the area of the park on the map is 3 square inches.
Carlos is moving to a new city and looking for a new job. He wants to rent an apartment, and he is willing to use half of his monthly paycheck for rent and apartment-related fees that he knows will be 200$. He doesn’t know exactly how much he’ll make at his new job yet, but he knows it will be somewhere between $3000 and $4000. Write an inequality and solve an inequality to show the price range David’s apartment will have to be in.
Answers
Answer: The price of the apartment lies in the range of $1300 to $1800
Step-by-step explanation: Because Carlos doesn't exactly know how much he'll make at his new job but he knows the range will be between 3000$ and 4000$ we will use inequality to solve this problem.
Let the rent on the new apartment = r
let monthly pay of Carlos = x
Given, apartment related fees = 200$
Given he is willing to use half of his monthly pay for rent and apartment related fees combined.
∴rent + apartment related fees = Monthly pay / 2
⇒\(r + 200 = \frac{x}{2}\)
⇒\(x=2*(r+200)\)
⇒\(x=2r+400\) (1)
Given Carlos' monthly pay is in the range of $3000 to $4000
∴\(3000\leq x\leq 4000\)
⇒\(3000\leq (2r+400)\leq 4000\) (from equation (1))
⇒\(3000-400\leq 2r+400-400\leq 4000-400\) (subtracting 400)
⇒\(2600\leq 2r\leq 3600\)
⇒\(\frac{2600}{2}\leq \frac{2r}{2}\leq \frac{3600}{2}\) (dividing by 2)
⇒\(1300\leq r\leq 1800\) (2)
ANS: The apartment lies in the price range of $1300 to $1800 as given by equation (2)
here is a problem solved using inequality
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The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answers
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
how do u solve this
Answers
add 9 to other side to get 16
divide 16 by 4 to get 4
then you get l-3b + 5l is less than 4
now subtract 5 from both sides
then divide by -3 (which flips the sign)
answer: b is greater than 1/3
Carmen needs to drive 16 miles to work. So far, she has driven 2.9 miles. How many more miles must she drive?
Answers
Answer:
13.1 miles
Step-by-step explanation:
she needs 16 miles total
she has driven 2.9
so
16 - 2.9 = 13.1
Answer:
13.1 miles
Step-by-step explanation:
You would need to subtract 2.9 from 16 to get 13.1
Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in the semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claims of $24,000. Several insurance companies collaborated in a data gathering experiment. They randomly selected 84 homes and sent adjusters to settle the claims. In the sample of 84 homes, the average claim was $27,5000 with a population standard deviation of $2400. Is there sufficient evidence at a 0.02 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributec. Compute the value of the test statistic.
Answers
The value of the t test is 13.36, we have to conclude that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.
The hypothesis formulationH0: u = 24000
H1: u > 24000
This test is a right tailed testwe have n = 84 homes
bar x = 27500
s = 2400
Next we have to find the test statistic
The formula for this is given as
\(t = \frac{x-u}{s/\sqrt{n} }\)
When we out in the values we would have
\(t = \frac{27500-24000}{2400/\sqrt{84} }\)
This would give us the answeer of the t test as
t test = 13. 3658
We have alpha = 0.02
the degree of freedom = 84 - 1 = 83
we have to find tα/2, df
= ±2.0865
Given that the value of the test statistic is greater than critical value we would have to then reject the null hypothesis.
Hence the conclusion that we can make is that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.
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PLEASE HELP ASAP!!! I'LL MARK BRAINLIEST TO RIGHT ANSWER!!!
Answers
The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)
Where, x represent the number of totts.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
My friend Raw has either no more than 5 toots and more than 10 toots.
Now, Let number of toots = x
Hence, We get;
⇒ x < 5
And, x > 10
Thus, The solution of the inequality is,
⇒ x ∈ (- ∞, 5) ∪ (10, ∞)
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What is the approximate distance between the points (–9, –9) and (1, 3)?
Answers
Answer: 15.6 units
Step-by-step explanation:
How many coins would you need to make all possible rows of 6 coins (not necessarily with equal numbersof pennies and nickels)
Answers
Using combination, a) the number of coins = 120 b) the number of coins would needed to make all possible rows of 6 coin is 384.
a) Based on the provided information, each row is a 6-bit string (6 coins) and its weight is 3 (3 pennies). Therefore, using combination the possible number of rows will be 6C3. The formula for combination is given by:
nCr = n!/r!(n – r)!
Hence,
6C3 = 6!/3!(6 – 3)! = 6!/3!3! = 6*5*4*3!/ 3*2*1*3! = 20
And in case each row requires 6 coins simultaneously, the number of coins = 6*20 = 120 coins
b) Based on the provided information, the possible number of rows will be 2^6 = 64. It can also be obtained using combination the possible number of rows will be sum of 6C0, 6C1, 6C2, 6C3, 6C4, 6C5, and 6C6.
Hence,
6C0 + 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6
6!/0!(6 – 0)! + 6!/1!(6 – 1)! + 6!/2!(6 – 2)! + 6!/3!(6 – 3)! + 6!/4!(6 – 4)! + 6!/5!(6 – 5)! + 6!/6!(6 – 6)!
6!/0!6! + 6!/1!5)! + 6!/2!4! + 6!/3!3! + 6!/4!2! + 6!/5!1! + 6!/6!0!
1 + 6 + 15 + 20 + 15 + 6 + 1
64
Therefore, the number of coins needed = 6*64 = 384 coins. The number of coins in each row = 384/2 = 192 coins
Hence,
Note: The question is incomplete. The complete question probably is: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows of 6 coins. (a) You find yourself making rows containing an equal number of pennies and nickels. For fun, you decide to lay out every possible such row. How many coins will you need? b) How many coins would you need to make all possible rows of 6 coins (not necessarily with equal number of pennies and nickels)?
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can you guys help me please as much as you can ^^
Answers
Answer:
Step-by-step explanation:
m<1 = 50
m<2 = 22
m<3 = 108
m<4 = 50
m<5 = 65
m<6 = 50
m<7 = 43
m<8 = 65
m<9 = 75
m<10 = 18
m<11 = 25
m<12 = 40
m<13 = 115
m<14 = 65
m15 = 115
Last week a painter painted 6 houses in 2 days. this week she painted 5 houses in 4 days. in which week was the painter more productive?
Answers
Answer:
The painter was more productive in week a.
Step-by-step explanation:
Find the unit rate. How many houses could be painted in 1 day?
6/2 means that she could paint 3 houses per day
5/4 means that she could paint 1.25 houses per day.
The painter was more productive in the last week.
Explanation:In this problem, we need to find in which week did the painter paint the most.
To find the solution to this problem, first, we need to divide 6 by 2 (last week)
which equals 3.
Next, divide 5 by 4 (this week)
which equals 1.25
Now, compare the two quotients and identify the larger number (3 and 1.25).
Basically, we can see that the number 3 is larger.
This means that the painter could paint 3 houses per day in the last week, and 1.25 houses per day in this week.
Therefore, we can say that the painter was more productive in the last week.
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a sample of 800 computer chips revealed that 60% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that above 55% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.01 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
Answers
The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.
Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.
A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion. The test statistic for this test is the z-score, which is calculated as:
\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)
If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.
If we substitute the values, we get:
\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)
The z-score for this assertion is calculated, and we find that it is approximately 2.86.
In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.
Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.
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12,400 × [] = 124
What number should go in the box to make the equation true?
Answers
Answer:
100
Step-by-step explanation:
inverse operation: 12,400 divided by 124
Four students majoring in Mathematics and five students majoring in Chemistry are eligible to attend a conference. How many ways are there to select four students to attend the conference if a) any four can attend
Answers
The number of ways of selecting the four students out of nine students for attending the conference is equals to the 126 from using the combination formula.
The number of combinations of n things taken r at a time is determined by the combination formula. It is the factorial of n, divided by the product of the factorial of r and the factorial of the difference of n and r respectively. Mathematically, it can be written as \(ⁿCᵣ= \frac{ n!}{r! ( n - r)!}\)
Now, we have number of students majoring in Mathematics = 4
Number of students majoring in chemistry = 5
So, total number of students majoring = 9
Four students are selected to attend conference. Here, n = 9, r = 4 so,
Number of ways to any four can attend =
\( 9C_4 = \frac{ 9!}{4! ( 9 - 4)!}\)
\(= \frac{ 9×8×7×6×5!}{4! 5!}\)
\(=\frac{ 9×8×7×6}{4×3×2}\)
= 18× 7 = 126
Hence, required value is 126.
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6. In a set of 10 questions ,4 marks are awarded for every correct answer and -2 marks
every wrong answer. Sunil gets 6 correct answers and 4 wrong answers. What is his
score?
Answer this question right , then I will award u brainlist and points
Answers
16 points
Step-by-step explanation:Hi there !
What is his score?
6×4 - 4×2 =
= 24 - 8
= 16 points
Good luck !
Answer:
marks awarded for each correct answer = 4
marks awarded for each incorrect answer = -2
No.of Sunil's correct answer = 6
therefore, mark of Sunil's correct answer = 6 x 4 = 24
No.of Sunil's incorrect answer = 4
therefore, mark of Sunil's incorrect answer = 4 x -2 = -8 (here + and - is multiplied therefore the final answer will be -)
Sunil's total score = 24(positive marks) - 8(negative marks)
=24-8 = 16
This also is an integer question right? ^_^