Answer:
Sample Response: The probability gets smaller and approaches 0 because 9 or 10 successes in 10 trials is unlikely.
The pattern observed is that the probability of getting a higher number of correct answers decreases exponentially as the number of correct answers increases.
We have given probabilities for getting exactly 7, 8, 9, and 10 correct answers in a sequence of trials.
P(getting exactly 7 correct) = 0.0031P(getting exactly 8 correct) = 0.000386P(getting exactly 9 correct) = 2.86 × 10⁻⁵P(getting exactly 10 correct) = 9.54 × 10⁻⁷To describe the pattern, we can observe how the probabilities change as the number of correct answers increases.
Let's calculate the Ratios Between Successive Probabilities:
Ratio of P(8 correct) to P(7 correct)Ratio of P(9 correct) to P(8 correct)Ratio of P(10 correct) to P(9 correct)1. [tex]\frac{P(\text{8 correct})}{P(\text{7 correct})} = \frac{0.000386}{0.0031} = 0.1245[/tex]
2. [tex]\frac{P(\text{9 correct})}{P(\text{8 correct})} = \frac{2.86 \times 10^{-5}}{0.000386} = 0.0741[/tex]
3. [tex]\frac{P(\text{10 correct})}{P(\text{9 correct})} = \frac{9.54 \times 10^{-7}}{2.86 \times 10^{-5}}= 0.0334[/tex]
Analysis of the Pattern:
The probabilities decrease rapidly as the number of correct answers increases. The ratios themselves are decreasing, which indicates that the reduction in probability is not linear but rather exponential or follows a more pronounced pattern of decay.
This kind of pattern is typical in scenarios where the events are rare or become increasingly unlikely as the number of successes increases, such as in the binomial or geometric distributions.
Complete question:
P(getting exactly 7 correct) = 0.0031
P(getting exactly 8 correct) = 0.000386
P(getting exactly 9 correct) = 2.86 × 10⁻⁵
P(getting exactly 10 correct) = 9.54 × 10⁻⁷
Describe the pattern in the probability of getting greater numbers of successes.
2, -2, 2, -2, . . . is an example of an infinite alternating sequence.
True Or
False
Answer:
True
Step-by-step explanation:
Because it is going back and forth it is
According to the Venn diagram below, what is (image below)
A. 3/25
B. 4/25
C. 2/25
D. 1/25
Answer:
P(A ∩ B ∩ C) is 1/25 ⇒ answer D
Step-by-step explanation:
* Lets talk about the Venn diagram
- There are three circles intersect each other
- The number of elements ∈ (A ∩ B) and ∉ C = 5
∴ n(A ∩ B) and ∉ C = 5
- The number of elements ∈ (A ∩ C) and ∉ B = 6
∴ n(A ∩ C) and ∉ B = 6
- The number of elements ∈ (C ∩ B) and ∉ A = 4
∴ n(C ∩ B) and ∉ A = 4
- The number of elements ∈ (A ∩ B ∩ C) = 2
∴ n(A ∩ B ∩ C) = 2
- The number of elements ∈ A and ∉ B , C = 9
- The number of elements ∈ B and ∉ A , C = 8
- The number of elements ∈ C and ∉ A , B = 7
- The number of elements ∉ A , B , C = 9 ⇒ outside the circles
- The total elements in the Venn diagram is the sum of all
previous numbers
∴ The total number in the Venn diagram = 5 + 6 + 4 + 2 + 9 + 8 + 7 + 9 =
50
* To find the probability of (A ∩ B ∩ C), find the total number in
the Venn diagram and the number of elements in the intersection
part of the three circles
∵ The total elements in the Venn diagram = 50 elements
∵ n(A ∩ B ∩ C) = 2
∴ P(A ∩ B ∩ C) = 2/50 = 1/25
* P(A ∩ B ∩ C) is 1/25
Please help!
In circle Y, what is m?
82°
100°
106°
118°
Answer:
The correct option is: 82°
Step-by-step explanation:
In the given diagram, two chords [tex]RT[/tex] and [tex]SU[/tex] are intersecting.
According to the Angle of intersecting chord theorem, "If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle."
That means here......
[tex]94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°[/tex]
So, the measure of arc [tex]TU[/tex] is 82°
At a competition with 4 runners, 4 medals are rewarded for first place through fourth place. Each model is different. How many ways are there to award the medal?
Decide if the situation involves a permutation or a combination, and then find the number of ways to award the medals.
A. Permutation; number of ways =24
B. Combination; number of ways = 24
C. Permutation; number of ways = 1
D. Combination; number of ways =1
A. Permutation; number of ways =24
Answer:
Option A. Permutation; number of ways = 24
Step-by-step explanation:
At a competition with 4 runners, 4 medals are rewarded for place place to fourth place.
We have to tell in this situation we will use permutation or combination to find the number of ways, medals can be rewarded.
We know when order matters then permutation is applied.
So number of ways to award the medals will be = 4! = 4×3×2×1 = 24
Therefore, option A. permutation : number of ways = 24 is the answer.
What is the inverse of the function f(x)=2x-10?
A)h(x)=2x-5
B)h(x)=2x+5
C)h(x)=1/2x-5
D)h(x)=1/2x+5
Answer: Try D
Step-by-step explanation:
please answer question attached
Answer:
The measure of the other acute angle is 38°
Step-by-step explanation:
we know that
In a right triangle, the sum of the two acutes angles must be equal to 90 degrees (are complementary angles)
Let
x -----> the measure of the other acute angle
x+52°=90°
Solve for x
Subtract 52° both sides
x=90°52°
x=38°
sammy earns $18.50 in two hours of work at this rate how much will he earn for 7 hours of work
Please mark me as brainliest if this answer is correct and nobody tops it.
So, 18.50/2 = 9.25, so you can just multiply 9.25 by 7
9.25 · 7 = 64.75.
So Sammy earned $64.75, hope she buys something nice for herself with it. :)
The populations and areas of four states are shown. Which statement regarding these four states is true? The state with the lowest population has the greatest population density. The state with the second lowest population has the lowest population density. The state with the lowest population has the lowest population density. The state with the second greatest population has the lowest population density.
The state with the second lowest population has the lowest population density.
The correct statement from the given option is The state with the second-lowest population has the lowest population density.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The population density of a state is the ratio of the population of the state and the area of the state. Therefore, the population density of the states can be written as,
[tex]\text{Population density of state}=\dfrac{\text{Population of the state}}{\text{Area of the state}}\\\\\\\text{Population density of state A}=\dfrac{1,055,173}{2,677} = 394.163[/tex]
[tex]\text{Population density of state B}=\dfrac{1,333,089}{36,418} = 36.6\\\\\\\text{Population density of state C}=\dfrac{3,596,677}{5,543} = 648.87\\\\\\\text{Population density of state D}=\dfrac{6,745,408}{10,555} = 639.073[/tex]
Thus, the correct statement from the given option is The state with the second-lowest population has the lowest population density.
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Dmitri's mom is making him a yent to use for backyard camp outs with his friends. How much material will Dimitri's mom need for the tent, including the floor
Answer:
The answer is 21.4.
Step-by-step explanation: Thank me later :)
Answer:
21.4
Step-by-step explanation:
Help me out here please! Thanks.
Answer:
A. [tex]\frac{1}{5} log_{3}x +log_{3}y[/tex]
Step-by-step explanation:
We have the expression
[tex]log_{3} (\sqrt[5]{x} *y)[/tex]
As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version
[tex]log_{3}\sqrt[5]{x} +log_{3}y[/tex]
The [tex]\sqrt[5]{x}[/tex] can be rewritten as [tex]x^{\frac{1}{5} }[/tex]. This allows us to use the exponent rule. This means that it can be written as
[tex]\frac{1}{5} log_{3}x +log_{3}y[/tex]
Answer:
A. [tex] \dfrac{1}{5} \log_3 x + \log_3 y [/tex]
Step-by-step explanation:
[tex] \log_3(\sqrt[5]{x} \cdot y) = [/tex]
The log of a product is the sum of the logs.
[tex] = \log_3 \sqrt[5]{x} + \log_3 y [/tex]
Now, write the root as a rational power.
[tex] = \log_3 x^\frac{1}{5} + \log_3 y [/tex]
The log of a power is the the exponent times the log of the base.
[tex] = \dfrac{1}{5} \log_3 x + \log_3 y [/tex]
Create/Write a direct variation word problem. Create a table of values representing the word problem. Write the equation representing the direct variation word problem. Graph the equation.
The word problem is Royal works part-time at a local store and earns $12 per hour.
The equation is y = 12x, the graph is attached and the table is
Hours Worked | Earnings ($)
1 | 12
2 | 24
3 | 36
4 | 48
5 | 60
Create/Write a direct variation word problem
A direct variation word problem is as follows
Royal works part-time at a local store and earns $12 per hour.
The above is a direct variation word problem and the equation can be represented as
y = 12x
Where
x is the number of hoursy is the total earning12 is the earning per hourSo, we have the table of values to be
Hours Worked | Earnings ($)
1 | 12 i.e. 12 * 1
2 | 24 i.e. 12 * 2
3 | 36 i.e. 12 * 3
4 | 48 i.e. 12 * 4
5 | 60 i.e. 12 * 5
The graph of the function is added as an attachment
If one pair of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
a. True
b.False
Yes by definition of parallelogram
Answer:
False
Step-by-step explanation:
A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.
What is the equation of the function described?
f(x)=7sin(4πx)+3
f(x)=7cos(4x)+3
f(x)=7sin(4x)+3
f(x)=7cos(4πx)+3
Answer:
https://brainly.com/question/10395117
Step-by-step explanation:
Answer:
f(x)=7sin(4x)+3
Step-by-step explanation:
Match the pairs of equivalent expressions.
y – 0.32y
y + 0.32y
arrowRight
0.68y
arrowRight
arrowRight
1.32y
Answer:
y - 0.32y = 0.68y
y + 0.32y = 1.32 y
Step-by-step explanation:
To simplify expressions, add/subtract using the coefficients of the terms.
y – 0.32y should be 1 - 0.32 = 0.68. This simplifies to 0.68y.
y + 0.32y should be 1 + 0.32 = 1.32. This simplifies to 1.32y.
7/5y = y+2/5y
0.68y = y-0.32y
3/5y = y-2/5y
1.32y = y+0.32y
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If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?
Answer:If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative.
Step-by-step explanation:If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative.
Answer:
cos Ф = adj / hyp = √5 / 3
Step-by-step explanation:
If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.
If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.
So we conclude that Ф is in Quadrant 2.
If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:
adj = √( 3² - 2² ) = √( 5 )
With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3
Find the probability. Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be greater than 10?
Answer:
3/36 (1/12) or 0.08333... or approximately an 8% chance of rolling a sum greater than 10 (i.e., sum of 11 or 12)
Step-by-step explanation:
There are 36 unique combinations of the 6 sides of the 2 dice
Roll a 1 and a 1 = one combination
Roll a 6 and a 6 = another combination
But roll a 2 and a 3 is treated as unique and different from rolling a 3 and a 2
If you create a 6 x 6 grid where you map out all the possible unique sum combinations of rolling two 6-sided dice you'll find at the very end/bottom of the grid that there are two ways to roll an 11 (5 then a 6; 6 then a 5) and only one way to roll a 12 (6 then a 6). That means there are 3 ways to get a sum greater than 10 out of 36 unique possible combinations
Can you guess why the sum of 7 is "Lucky Seven"?
1. Find the area. The figure is not drawn to scale.
13.05 is the answer because the area of a triangle is A=1/2bh (base times height divided by 2) and 2.9x9=26.1 and 26.1 divided by 2 is 13.05
Two sides of a triangle have measures of 6 inches and 12 inches. Which measure could be the length of the third side?
Final answer:
The third side of a triangle with sides of 6 inches and 12 inches must be greater than 6 inches and less than 18 inches in length, without being exactly 6 or 18 inches.
Explanation:
The length of the third side of a triangle with two sides measuring 6 inches and 12 inches must adhere to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Consequently, for the given triangle, the possible range for the length of the third side, denoted as x, is between 6 inches and 18 inches (exclusive), that is: 12 - 6 < x < 12 + 6. The value of x cannot be exactly 6 or 18 inches because the triangle would collapse into a straight line. Therefore, the permissible length can be any real number greater than 6 inches but less than 18 inches.
You determine that the standard deviation for a sample of test scores is 0. This tells you that:
A) all the test scores must be 0.
B) all the test scores must be the same value.
C) there is no straight-line association.
D) the mean test score must also be 0.
E) you made a mistake because the standard deviation can never be 0.
Answer:
Your answer is A,B,AND D
Step-by-step explanation:
The standard deviation for a sample of test scores is 0 tells you that, B) all the test scores must be the same value.
What is Standard Deviation?Standard deviation is a measure in statistics which describes how much is each quantity given deviates from the mean of the whole population.
When a sample of test scores are having a standard deviation of 0, this tells you that, the deviation of each of the values from the mean is 0.
This means that all the values must have the same value.
Suppose the data set is, 1, 1, 1, 1, 1.
All the data points are same.
Mean = 1
Deviation of each of the point from mean = 0
So standard deviation = 0
All the test scores are 0 is a special case of the above case where all the test scores are same.
Hence option B is correct.
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Ok so the equation d=70t represents the distance in miles covered after traveling at 70 miles per hour for t hours... What is D when T is 2.25
d= 157.5 when t is 2.25. all you need to do is plug in 2.25 for t which gives us: d=70(2.25) = 157.7
Multiply the rate, 70 miles per hour, by the given time, 2.25 hours, to find that the distance d is 157.5 miles when t is 2.25 hours.
Explanation:The question asks for the value of d when t is 2.25 in the equation d = 70t, where d represents the distance in miles and t represents the time in hours. To find the value of d, simply multiply the rate (70 miles per hour) by the given time (2.25 hours).
Solution: d = 70×2.25 = 157.5 miles
Therefore, the distance d when t is 2.25 hours is 157.5 miles.
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Simple Question. Easy Points
Find x and y...
Answer:
From the information we have, we can prove that ΔBDA is similar to ΔCDB:
∠BDA≅∠CDB, ∠BAD≅∠CBD
=> ΔBDA ~ ΔCDB
=> BD/CD = AD/BD
=> 8/x = 15/8
=> x = (8 · 8)/15 ≈ 4.267
And we also have:
AD/BD = AB/BC
=> 15/8 = 17/y
=> y = (17 · 8)/15 ≈ 9.067
*I could be wrong though
Answer:
x = 4.267 and y = 9.067
Step-by-step explanation:
The triangle on the left and the triangle on the bottom are similar triangles.
Therefore, the following equation of ratios is true:
y 8
------- = ------
17 15
resulting in 15y = 8(17). Then 8(17)/15 = 9.067.
Also:
x 9.067
----- = -----------
8 17
resulting in 17x = 8(9.067) = 72.533
Then x = 72.533/17 / 17 = 4.267
In summary, x = 4.267 and y = 9.067.
Please help me out ........!!!
Answer:
x= 437.3 ft
Step-by-step explanation:
1: You need to find the angle opposite of x. :
90-29 = 61 degrees.
2. Use the trig function sine and substitute values:
sin61= (x/500)
500sin61 = x
x=437.309 ft
The general form of an exponential function is y = abx. Use the regression calculator to find the values of a and b for the water lily population growth. Round to the nearest thousandth. a = and b =
Answer:
a=3.915 and b=1.106
Step-by-step explanation:
This is the answer on edju
The following graph shows the amount of snow that fell in Denver, Colorado in the winter of 1888-1889. How many inches of snow did Denver receive during this period?
21 inches
21.3 inches
21.7 inches
22 inches
The answer is:
The second option, Denver received 21.3 inches of snow during the period from 1888 to 1889.
Why?To know how many inches of snow did Denver receive, we need to sum each the number of inches received per year from 1888 to 1889.
So, from the graph, we have:
For Nov '88, 3 inches.
For Dec '88, 0.8 inches.
For Jan '89, 5.5 inches.
For Feb '89, 8.4 inches.
For Mar '89, 3.6 inches.
Now, adding the number of inches for each month/year, we have:
[tex]Total=3in+0.8in+5.5in+8.4in+3.6in=21.3inches[/tex]
Hence, we have that Denver received a total of 21.3 inches for the 1888-1889 year period.
Have a nice day!
dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success on each roll?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.
Probability is defined as the number of favorable outcomes divided by the total number of outcomes.
Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.
Thus,
P(Heads) = 1/2
What is the value of d?
Round your answer to the nearest tenth.
Answer:
11.9 mm
Step-by-step explanation:
We can find d by applying the cosine rules.
d² = 21² + 27² - 2(21)(27) cos (25)
d² = 441 + 729 - 1027.75
d² = 142.25
d = √142.25
d = 11.9 mm (nearest tenth)
Which equation can be used to find the value of x?
the answer is B. hope this helps.
Answer:
the answer is B)
Step-by-step explanation:
1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
2) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 4 more of the twenties. The total value of the money is $305.00. Find the number of twenty-dollar bills. What is the equation?
Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
Last year, Norvin purchased 42 shares of Stock A at $50 per share, 124 shares of Stock B at $25 per share, and a four-year $3500 bond with an 8.54% coupon for $5950. Norvin sold both stocks today. Stock A is worth $58 per share and Stock B has a value of $29 per share. Assuming neither stock paid a dividend, which investment has the highest rate of return? (4 points)
Stock A
Stock B
Bond
Stock A and Stock B
And please explain why!
Answer:
Stock A and Stock B
Step-by-step explanation:
After 1 year, the value of Stock A is 58/50 = 1.16 times what it was, an increase of 16%.
After 1 year, the value of Stock B is 29/25 = 1.16 times what it was, an increase of 16%.
The bond has coupon value of $298.90 each year, about 5.02% of the amount invested. (However, the value of the bond at the end of 4 years is only $3500, so represents a net loss of about $1254.40 over that time period. We're not quite sure why Norvin purchased this bond at that price.)
Stock A and Stock B have the highest rate of return.
What is the least number that has 4 odd factors that are all the same? each factor is greater than 1, and can have only 1 and itself as factors. explain how you found the number?
Answer:
81
Step-by-step explanation:
We need to have 4 odd factors not including 1 that are the same
Listing the odd numbers
1,3,5,7,9,11,13,.....
3 is the smallest odd number that is not 1
The factors of 3 are 1 and 3
The number is 3*3*3*3
81