Therefore, at the same constant speed, the plane would travel approximately 507,406.89 miles in 3.33 hours.
To determine the number of miles the plane would travel in 3.33 hours at the same constant speed, we can use a proportion based on the given information.
The plane traveled 762,762 miles in 5 hours. We can set up the proportion:
762,762 miles / 5 hours = x miles / 3.33 hours
To solve for x (the number of miles traveled in 3.33 hours), we cross-multiply and divide:
(762,762 miles) * (3.33 hours) = (5 hours) * x miles
2,537,034.46 miles = 5x miles
Dividing both sides of the equation by 5:
2,537,034.46 miles / 5 = x miles
x ≈ 507,406.89 miles
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Maks, a straight line
Point don't
A pet spider is kept in a shoe box and sleeps in the bottom
front left corner. She strings a web from her sleeping corner
and moves along it to the top back right corner. To return to
her sleeping corner, she walks down the edge of the box
and across the bottom to the front left corner. How much
farther did she walk on her return walk? Round to the
nearest tenth of an inch. 8. G. 7
9 in.
6 in.
15 in
The spider walked 23.6 inches farther on her return walk.
To calculate this, we can use the Pythagorean theorem to find the length of the diagonal from the top back right corner to the front left corner.
a² + b² = c²where a = 8 inches (height), b = 15 inches (length), and c is the length of the diagonal.
c² = 8² + 15²
c² = 64 + 225
c² = 289
c = √(289)
c = 17
So, the length of the diagonal is 17 inches. The spider walks down this diagonal to get to the front left corner, so she walks 17 inches on her return walk. However, she also walked along the bottom of the box for a distance of 6 inches.
Therefore, the spider walked 17 + 6 = 23 inches farther on her return walk. Rounded to the nearest tenth of an inch, the answer is 23.6 inches.
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The table and Circle Chart display proportions of the expenditure of a local government. Which statement describes how the Circle Chart misrepresents the data?
A. The sum of the percentages in the sections is not 100.
B. The size of each section does not correspond to the percent expenditure for each category given in the table.
C. One of the categories in the table is not represented in the circle chart.
D. The size of the section representing highways is greater than the size of the section representing education.
This exercise refers to the identification of statistics that is misleading or erroneous. In this case, a circle graph and a table are involved.
What is a circle graph?A circle graph is simply a pie chart. It is used to depict information in percentages. An example is attached.
Although charts and tables are very useful descriptive and or illustrative statistics, they can be misleading.
This can happen when:
The sum of the percentages in the sections is not 100;The size of each section does not correspond to the percent expenditure for each category given in the table; andOne of the categories in the table is not represented in the circle chart.This answer is general in nature due to the limited information provided.
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Answer:
C
Step-by-step explanation:
What is the distance formula?
Please help!!! Fist answer gets brainliest
9 children win $20 each. Then the same 9 children win $10 each. How much combined money did each child win
Answer:
$270 in all
Just multiply 9x20 and 9x10 and add them together
Suppose N 1
is a discrete random variable equally likely to take on any integer in the set {1,2,3}. Given that N 1
=n 1
, the random variable N 2
is equally likely to take on any integer in the set {1,2,…,n 1
}. Finally, given that N 2
=n 2
, the random variable N 3
is equally likely to take on any integer in the set {1,2,…,n 2
}. (a) Find the two-dimensional joint PMF, P N 1
,N 2
(n 1
,n 2
). (b) Find the three-dimensional joint PDF, P N 1
,N 2
,N 3
(n 1
,n 2
,n 3
). (c) Find the marginal PDFs, P N 2
(n 2
) and P N 3
(n 3
). (d) What are the chances that none of the three random variables are equal to 1 ?
(a) The two-dimensional joint PMF P(N1, N2)(n1, n2) is:
P(N1 = 1, N2 = n2) = (1/n2) * (1/3)P(N1 = 2, N2 = n2) = (1/n2) * (1/3)P(N1 = 3, N2 = n2) = (1/n2) * (1/3)(b) The three-dimensional joint PDF P(N1, N2, N3)(n1, n2, n3) is:
P(N1 = 1, N2 = n2, N3 = n3) = (1/n2) * (1/n2) * (1/3)P(N1 = 2, N2 = n2, N3 = n3) = (1/n2) * (1/n2) * (1/3)P(N1 = 3, N2 = n2, N3 = n3) = (1/n2) * (1/n2) * (1/3)(c) The marginal PDFs P(N2)(n2) and P(N3)(n3) are both equal to 1/n2.
(d) The chances that none of the three random variables are equal to 1 is (1/3) * (1 - 1/n2).
In probability theory, the two-dimensional joint distribution or joint probability distribution refers to the probability distribution of two random variables considered together. It describes the probabilities of different combinations or pairs of outcomes for the two variables.
(a) To find the joint PMF P(N1, N2)(n1, n2), we need to determine the probability of the specific values of N1 and N2 occurring.
Given that N1 = n1, the random variable N2 is equally likely to take on any integer from 1 to n1. Therefore, the probability of N2 = n2, given N1 = n1, is:
P(N2 = n2 | N1 = n1) = 1 / n1
Since N1 can take on values {1, 2, 3} and N2 can take on values {1, 2, ..., n1}, we have:
P(N1 = 1, N2 = n2) = P(N2 = n2 | N1 = 1) * P(N1 = 1) = (1/n2) * (1/3)
P(N1 = 2, N2 = n2) = P(N2 = n2 | N1 = 2) * P(N1 = 2) = (1/n2) * (1/3)
P(N1 = 3, N2 = n2) = P(N2 = n2 | N1 = 3) * P(N1 = 3) = (1/n2) * (1/3)
(b) To find the three-dimensional joint PDF P(N1, N2, N3)(n1, n2, n3), we extend the above probabilities to include the third random variable N3.
Given that N2 = n2, the random variable N3 is equally likely to take on any integer from 1 to n2. Therefore, the probability of N3 = n3, given N2 = n2, is:
P(N3 = n3 | N2 = n2) = 1 / n2
Since N1 can take on values {1, 2, 3}, N2 can take on values {1, 2, ..., n1}, and N3 can take on values {1, 2, ..., n2}, we have:
P(N1 = 1, N2 = n2, N3 = n3) = P(N3 = n3 | N2 = n2) * P(N2 = n2 | N1 = 1) * P(N1 = 1) = (1/n2) * (1/n2) * (1/3)
P(N1 = 2, N2 = n2, N3 = n3) = P(N3 = n3 | N2 = n2) * P(N2 = n2 | N1 = 2) * P(N1 = 2) = (1/n2) * (1/n2) * (1/3)
P(N1 = 3, N2 = n2, N3 = n3) = P(N3 = n3 | N2 = n2) * P(N2 = n2 | N1 = 3) * P(N1 = 3) = (1/n2) * (1/n2) * (1/3)
(c) The marginal PDF P(N2)(n2) can be obtained by summing the joint probabilities over all possible values of N1:
P(N2 = n2) = P(N1 = 1, N2 = n2) + P(N1 = 2, N2 = n2) + P(N1 = 3, N2 = n2)
= (1/n2) * (1/3) + (1/n2) * (1/3) + (1/n2) * (1/3)
= (1/n2)
Similarly, the marginal PDF P(N3)(n3) can be obtained by summing the joint probabilities over all possible values of N1 and N2:
P(N3 = n3) = P(N1 = 1, N2 = 1, N3 = n3) + P(N1 = 1, N2 = 2, N3 = n3) + ... + P(N1 = 3, N2 = n2, N3 = n3)
= (1/n2) * (1/n2) * (1/3) + (1/n2) * (1/n2) * (1/3) + ... + (1/n2) * (1/n2) * (1/3)
= (1/n2)² * (1/3) * n2
= (1/3)
(d) The chance that none of the three random variables are equal to 1 can be found by summing the joint probabilities where N1, N2, and N3 are not equal to 1:
P(N1 ≠ 1, N2 ≠ 1, N3 ≠ 1) = P(N1 = 2, N2 = 2, N3 = 2) + P(N1 = 2, N2 = 2, N3 = 3) + ... + P(N1 = 3, N2 = n2, N3 = n2)
From the joint PDF in part (b), we can see that all probabilities where N1, N2, and N3 are not equal to 1 have the form (1/n2) * (1/n2) * (1/3).
Therefore, the chances that none of the three random variables are equal to 1 is:
P(N1 ≠ 1, N2 ≠ 1, N3 ≠ 1) = (1/n2) * (1/n2) * (1/3) + (1/n2) * (1/n2) * (1/3) + ... + (1/n2) * (1/n2) * (1/3)
= (1/n2)² * (1/3) * (n2 - 1)
= (1/3) * (1 - 1/n2)
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If you place a 24-foot ladder against the top of a 22-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
9.5ft
Step-by-step explanation:
a²+b²=c²
equation
24²=c²
22²=a²
put in the variables
24²-22²=b²
Rearrange the equation
576-484=92
square
√92
Square root answer
9.5ft
Answer
please help for brainliest
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Answer:
841.6 ft
Step-by-step explanation:
Solve this using the quadratic formula.
y=-16x^2+212x+139 becomes -16x^2 + 212x + 139. The x-value of the axis of symmetry is
-212
x = ----------- = 6.625 (This time measurement is in seconds.)
2(-16)
The maximum height reached by the rocket is the y value when x = 6.625 and is y(6.625) = 841.6 ft
Questions 4, 5, and 6 on 8-3 geometry quiz. Attachment included: please help and show your work
The requried solution to the given trigonometric problems area shown below,
4. G 30 foot, 5. C 40 and 6. F 20.5.
4.
Let,
x = length of ramp = 14 ft
n = base of the ramp
the angle of inclination of the ramp with the base is Ф=22.2°,
The base of the ramp is given by trigonometric ratios,
cosФ = n/x
cos22.2 = b / 14
b = 13 foot
Similarly,
5. c. 40
6. F 20.5
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Hector helps out at an animal shelter. One of his jobs is to track the weights of the puppies. He recorded the number of ounces gained or lost by five puppies and tried to place them on a number line. . Which error did Hector make? A. He placed Puppy 3 at –3.4 instead of at –0.75. B. He placed Puppy 5 to the left of 0 instead of to the right. C. He placed Puppy 1 between 7 and 8 instead of between 15 and 16. D. He placed Puppy 2 between 3 and 3.5 instead of between 3.5 and 4.
The error Hector made is that he placed Puppy 3 at -3.4 instead of at -0.75, which aligns with option A.
From the given options, it appears that the error Hector made is represented by option A: He placed Puppy 3 at -3.4 instead of at -0.75.
To determine this, let's examine the given information about the placements of the puppies on the number line:
Puppy 1: Between 15 and 16
Puppy 2: Between 3 and 3.5
Puppy 3: At -3.4
Puppy 4: Between -6 and -5.5
Puppy 5: To the left of 0
Looking at these placements, we can see that options B, C, and D do not correspond to the given information. Hector correctly placed Puppy 5 to the left of 0, and Puppy 1 between 15 and 16.
However, option A states that Hector placed Puppy 3 at -3.4 instead of at -0.75. This suggests an error in Hector's placement because -0.75 is the correct placement for Puppy 3, not -3.4.
Therefore, the error Hector made is that he placed Puppy 3 at -3.4 instead of at -0.75, which aligns with option A.
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The denominator in the earnings per share formula is? a.preferred dividends. b.net income. c.number of preferred shared outstanding. d.number of common shares outstanding.
The denominator in the earnings per share formula is number of common shares outstanding.
What is the denominator used in the computation of earnings per share?
The weighted average of the outstanding shares of common stock serves as the numerator of the earnings per share. The "per share" part necessitates further computation when the number of common shares changes in the middle of the year. The weighting of the per share part depends on how long each share number has been in circulation.How are basic earnings per share determined?
Basic EPS is calculated by dividing net income by the weighted average of the common shares outstanding for the relevant period. Preferred dividends should be removed from the net income because they are not available to common stockholders. Net income can also be broken down into "continuing operations" P&L and "total P&L".Learn more about Basic EPS
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a recipe uses 10 cups of flour. you can only measure using 2/3 cups.
How many 2/3 cups are needed for the recipe?
Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.
So to find how many 2/3 is in 10 cups you simply have to divide
10/(2/3) = 15
So 10 cups of flour is 15 (2/3) cups of flour.
Hope this helps :)
The sum of eleven less than a number and three more than four times that number is 37.
Please help!! State which property of equality justifies the statement:
If 7x=28, then x=4.
The property of equality justifies the given statement is Transitive property of equality.
Given,
The statement:
If, 7x = 28,
then, x = 4
We have to find the property of equality that justifies this statement:
The transitive property of equality formula is given as follows:
If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."
The property of equality that justifies this statement If, 7x = 28,
then, x = 4 is transitive property of equality.
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i need help , can someone please help me
Answer: 90
cuz if you use the ruler thing it gives you 90 trust me
Simplify
-36 + x < 8
Step-by-step explanation:
add 36 to both sides to cancell out -36
-36+36=0
8+36=44
x<44
so all values for x are less than 44
Hope that helps :)
Please give brainliest
Can anyone help me please and if you can, can you do it on paper and then upload the picture pls
Answer:
x=6
Step-by-step explanation:
44+3x=5x+2x+20
collect like terms:
44+3x=7x+20
move the terms :
3x-7x=20-44
collect like terms calculate :
-4x=-24
divide both sides:
x=6 is the final answer
Plot the ordered pairs on your grid paper, connect, and label them accordingly.
Line Segment A (0, 7); (0, 9)
Line Segment B (3, 9); (4.5, 9)
Line Segment C (4.5, 8); (4.5, 10)
Which line segment is 1.5 units long?
If y varies directly as x, and y=24, when x=6, find y when x=4 8, -2, 4 or 16
Answer:
Step-by-step explanation:
is x equals 48, y might be 2, since 24x2=48, & when 6x8=48.
A family is calculating the cost for one semester of college next year. Each hour of class will cost $155. A scholarship gift of $64 can be deducted from costs. If h is the number of hours taken, and c is the total cost, which equation can be used to calculate the total tuition costs for a semester?
C=89h
C=155h+64
C=155h-64
C=-155h-64
Answer:
c=155h-64
Step-by-step explanation:
you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester
which exponential equation is equivalent to this logarithmic equation?log2x=24
Reason:
The log equation \(\log_{b} (y) = x\) is equivalent to the exponential equation \(y = b^x\)
For each equation, the 'b' is the base. Logs are useful to isolate the exponent, and they have other applications as well.
So this is why \(\log_2(x) = 24\) turns into \(2^{24} = x\)
As another example, \(\log_3 (m) = 4\) becomes \(m = 3^4\)
combined with a high tide on september 16, 2020 by how many feet did that storm surge submerge the lowest parts of pensacola beach? enter a number (no words) in the blank.
The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.
How to solve for the feet that the storm submerges?As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.
The ocean water rises upto 5.5 feet during a storm
Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.
If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.
You just subtract the combined height of the storm and the highest tide from the height of the beach.
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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.
Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.
Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations
What is the HCF of 21m³n - 14m²n³ + 35m²n² ?
Answer:
7m^2n (i think)
Step-by-step explanation:
40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue
40% of Damien’s marbles are 6/5 or 1.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Damien has three marbles.
40% of Damien’s marbles are blue.
That means,
40% of 3 blue marbles.
So, using the percentage formula,
40% of 3,
= 40 x 3/100
= 120/100
= 12/10
= 6/5
= 1.2
Therefore, 1.2 marbles are blue.
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Elisas hair was 12 inches long after her last haircut. Since then it has grown 1/2 inch each month . Elisas hair is now 15 inches long. How many months has it been since her last haircut?
Which equation models this situation?
A. 1/2x + 15=12
B. 12-1/2x=15
C. 1/2x+12=15
D. 2x+12=15
Answer:
C. 1/2x+12=15
Step-by-step explanation:
Answer:
Step-by-step explanation:
C. 6 months
1/2x+12=15
1/2x=3
x=6
In a recent court case it was found that during a period of 11 years people were selected for grand jury duty and % of them were from the same ethnicity. Among the people eligible for grand jury duty, % were of this ethnicity. Use a significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, p-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the p-value method and the normal distribution as an approximation to the binomial distribution.
The Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ: π > 0.79
Statistic Z = -26.38
P-value = 0
Conclusion : The null hypothesis is
rejected .
Final Conclusion : which implies that population proportion is different from
π= 0.79.. This sample proportion can notbe product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
We have problem of proportion and we have to apply hypothesis testing in it .
We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .
Null and Alternative hypothesis are
Hₒ: π= 0.79
Hₐ : π> 0.79
The significance level is 0.01
The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42
The standard error is
σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014
Then we can calculate Z – value
Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387
P-value for this test statistic is 0
P-value (z<-26.38)= 0
P-value = 0 < 0.01
As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79
This sample proportion can not be product of chance.
There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.
#Complete Question:
In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?
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Determine the reason that triangle NKL is congruent to triangle NJL.
Answer:
HL
Step-by-step explanation:
By the reflexive property of congruence, NL is congruent to NL. Note that NL is a leg shared by both triangles. Next, we can see that the two hypotenuses of the triangles are marked as congruent. This is enough information to prove that NKL is congruent to NJL by the HL congruence theorem.
Hope this helps! Please feel free to contact me if you have more questions :)
what is the order from least toe greatest with the numbers 0.75,0.3215,2/8,9/16
Answer:2/8, 0.3215, 9/16, 0.75
Step-by-step explanation:
2/8 = 0.25 0.3215 is higher then 9/16 =0.5625 next is 0.75
a car traveling at 3030 feet per second decelerates at 2020 feet per second per second. how long does it take for the car to come to a complete stop?
Therefore, it will take the car 1.5 seconds to come to a complete stop.
To determine the time it will take for the car to come to a complete stop, you can use the formula:
vf = vi + at, where
vf = final velocity,
vi = initial velocity,
a = acceleration
t = time
To use this formula, first, you need to determine the initial velocity and the final velocity.
Since the car is coming to a complete stop, the final velocity will be 0.
Therefore:
vf = 0The initial velocity is given as 30 feet per second.
vi = 30 feet per second
You also know that the car is decelerating at a rate of 20 feet per second per second.
Therefore:
a = -20 feet per second per second
Note that acceleration is negative because it is a deceleration.
Substituting the known values into the formula, you have:0 = 30 - 20tt = 30/20t = 1.5 seconds
Therefore, it will take the car 1.5 seconds to come to a complete stop.
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Solve for n: 2n - 4 < 16
Answer:
n<10
Step-by-step explanation:
Answer:
n=10 ,,,,,,,,,,,,,,,