Answer:
the 7th
Step-by-step explanation:
Answer:
the 27th
Step-by-step explanation:
Tonnys birthday is on the 27th
Which transformation should be applied to show similarity?
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes. For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes. (Round your answer to four decimal places.)
Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normal distribution with a mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]
Probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3. So
X = 9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 7.2}{2.1}[/tex]
[tex]Z = 0.86[/tex]
[tex]Z = 0.86[/tex] has a pvalue of 0.8051
X = 3
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 7.2}{2.1}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
g The average midterm score of students in a certain course is 70 points. From the past experience it is known that the midterm scores in this course are Normally distributed. If 29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points, find the probability that the average midterm score of these students is at most 75 points. (Round your final answer to 3 places after the decimal point).
Answer:
0.98 = 98% probability that the average midterm score of these students is at most 75 points.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The average midterm score of students in a certain course is 70 points.
This means that [tex]\mu = 70[/tex]
29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.
This means that [tex]\sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44[/tex]
Find the probability that the average midterm score of these students is at most 75 points.
This is the pvalue of Z when X = 75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{75 - 70}{2.44}[/tex]
[tex]Z = 2.05[/tex]
[tex]Z = 2.05[/tex] has a pvalue of 0.98.
0.98 = 98% probability that the average midterm score of these students is at most 75 points.
ONE of Michael's birds came out of the cage and flew away.
What is the probability that a yellow bird flew away?
Give your final answer as a decimal number.
Answer:
100.0 bc it is ONE bird or 100%?????
A 13-foot ladder leaning against a building meets the side of the building exactly 12 feet above the ground. How far from the building is the base of the ladder rounded to the nearest hundredth foot?
Answer:
At the moment in question, we have a 5-12-13 right triangle.
x^2 + y^2 = 13^2
2x dx/dt + 2y dy/dt = 0
2(5)(2/3) + 2(12) dy/dt = 0
dy/dt = -5/18 ft/s
the area is 1/2 xy, so
da/dt = 1/2 y dx/dt + 1/2 x dy/dt
= (1/2)((12)(2/3) + (5)(-5/18))
= 119/36
Step-by-step explanation:
Maeve takes pictures of people as they enter an amusement park. She makes $40 per day, plus $4 for each person who buys a picture. If Maeve made $80 yesterday, how many people bought a picture?
Answer:
20People
Step-by-step explanation:
Buying of a picture = $4
if the total revenue made after people bought it was $80
Total number of people who bought it
= $80/$4
=20People
Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct, Since Richard has not attended a class recently, he doesn't know any of the answers, Assuming that Richard guesses on all 10 questions. Find the indicated probabilities.
A) What is the probability that he will answer all questions correctly?
B) What is the probability that he will answer all questions incorrectly?
C) What is the probability that he will answer at least one of the questions correctly?
Then use the fact that P(r1) = 1 P(r = 0).
D) What is the probability that Richard will answer at least half the questions correctly?
Answer:
a) 0.0000001024 probability that he will answer all questions correctly.
b) 0.1074 = 10.74% probability that he will answer all questions incorrectly
c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.
d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Each question has five answers, of which only one is correct
This means that the probability of correctly answering a question guessing is [tex]p = \frac{1}{5} = 0.2[/tex]
10 questions.
This means that [tex]n = 10[/tex]
A) What is the probability that he will answer all questions correctly?
This is [tex]P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024[/tex]
0.0000001024 probability that he will answer all questions correctly.
B) What is the probability that he will answer all questions incorrectly?
None correctly, so [tex]P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
0.1074 = 10.74% probability that he will answer all questions incorrectly
C) What is the probability that he will answer at least one of the questions correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
Since [tex]P(X = 0) = 0.1074[/tex], from item b.
[tex]P(X \geq 1) = 1 - 0.1074 = 0.8926[/tex]
0.8926 = 89.26% probability that he will answer at least one of the questions correctly.
D) What is the probability that Richard will answer at least half the questions correctly?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264[/tex]
[tex]P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055[/tex]
[tex]P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008[/tex]
[tex]P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001[/tex]
[tex]P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0[/tex]
So
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328[/tex]
0.0328 = 3.28% probability that Richard will answer at least half the questions correctly
is the number below a perfect square how do you know 2 x 2 x 3 x 5 x 5
Answer:
nope
nope
nopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenopenope
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{ASSUMING:}\\\\\mathsf{2\times2\times3\times5\times5}\\\mathsf{= 4\times3\times5\times5}\\\mathsf{= 12\times5\times5}\\\mathsf{= 60\times5}\\\mathsf{= 300}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{300}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]8. Find F-1 for the function f(x) = (x + 1)3 + 4.
A.f-'(x) =V7-4+1
B. f(x)=x+4+1
C.f(x) = x+4-1
D. g(x)=√x-4-1
Answer:
Answer is B
Step-by-step explanation:
Saundra can write 5 thank-you notes in 15 minutes. She wants to know how many notes she can write in 2 hours if she continues
writing at the same rate.
Mike says that Saundira could write 60 notes in 2 hours.
Is Mike correct? Explain your answer using the drop-down menus.
Mike is not
correct
. Since 15 minutes is of an hour, Saundira is writing at a rate of Choose... notes per hour. That
means Saundra could write 120
notes in 2 hours.
Nancy and Evan are each writing a 6-page essay. Nancy completed 4/6 of her essay in the morning and 2/6 of her essay in the afternoon. Evan completed 3/6 of his essay before school and 2/6 of his essay after school. Nancy says that she completed more of her essay than Evan. Evan says that he completed more of his essay than Nancy. Who is correct?
Answer:Nancy completed more of the essay.
Step-by-step explanation:4/6 + 2/6 = 6/6 = Nancy
3/6 + 2/6 = 5/6 = Evan
Therefore Nancy did more of the essay.
please help
what is the slope of the line ?
Answer:
Slope would be -3/1
Answer:
-3/1 is the slope since you are going down 3 and going to the right one time.
I need help please help
Answer:
with wut XD
Step-by-step explanation:
I’ll give points and brainalist for answer / explanation
Answer:
A. 91 ft
Step-by-step explanation:
The path is 2ft wide and the pool's radius is 12.5ft (radius is half diameter, diameter is 25ft). This means that the radius of the circle created by the path is 14.5ft (2+12.5).
Knowing the radius, we can find the circumference.
Circumference = 2πr
Circumference = 2π(14.5) = 91.10618695ft ≈ 91ft
Aubree is going to invest $27,000 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Aubree to end up with $39,000?
Answer:
3.7%
Step-by-step explanation:
simple
hello I need help please help me I will give you brianly if it Correct
Answer:
Option C.
Step-by-step explanation:
You can find this by doing ratios. 1/1.1266=x/700. Then, solve for x and you will get 621.3385.
The product of five and a number plus 10 is at least thirty
Answer: Greater of equal sign
Step-by-step explanation:
5+10+x is greater than or equal to 30 ( use the greater of equal to sign)
Write a real-world scenario for the equation 10x + 2 = 8x + 8. Solve the equation.
Answer:
3
Step-by-step explanation:
Frank wants to find a number that is multiplied by 10 is 2 less than 8 times the number plus 8.
Hope that helps :)
PLEASE HELP ILL MARK BRAINIEST
Answer:
Length of pendulum = 72 feet
Step-by-step explanation:
Given:
Time period (T) = 9.42
pi = 3.14
According to question,
T = 2 x pi x root(L/32)
9.42 = 2 x 3.14 x root(L/32)
9.42 = 6.28 × root (L/32)
9.42/6.28 = root(L/32)
1.5 = root(L/32)
Squaring both sides,
2.25 = L/32
L = 2.25 x 32
L = 72
Answer:
L=72
Step-by-step explanation:
T=2pi[tex]\sqrt{L/32\\}[/tex]
9.42 = (2 x 3.14)[tex]\sqrt{L/32}[/tex]
1.5=[tex]\sqrt{L/32}[/tex]
2.25 = L/32 (I squared both sides)
L=72
Hope this Helps
Juan Carlos has been asked to find the distance between two points on a coordinate grid using the distance formula calculate the distance between points (-3,2) and (12,10)
PLEASE HELP, IF ITS RIGHT ILL GIVE U BRAINLIEST THINGY
Answer:
The answer is 8
Step-by-step explanation:
can somebody help me solve for x.
Answer:
8/3
Step-by-step explanation:
x : 4 = 4 : 6
x = 16/ 6
x = 8/3
b) The radius of a bicycle wheel is 50cm. In one-ninth of a second, it turns through 80°
about its center, which is fixed. How many kilometers does a point on the rim of the
wheel travel in one hour?
Answer:
Given data:
Radius r = 50cm
Time taken by the wheel to turn 80 degree = 1/9 seconds
= > In one second, wheel turns 720 degree
We know that one revolution is 360 degree
Therefore in one second, it takes 2 revolutions
In one hour i.e. 3600 seconds, it takes 7200 revolutions
Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.
Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm
Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm
So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km
Step-by-step explanation:
Help please!!!!!! I don't have a lot of time
Answer:
Its 5,...................
Answer:
5
Step-by-step explanation:
simplify the exponent
35/8-1
simplify
35/7
simplify
5
231+X=? HELLLLLLLLLLLLLLLLLLLL!!!!!!!!
Answer:
231+X = 231+X
Step-by-step explanation:
Hope it helps!!!!!!!!
Is art and science different or the same? Explain.
Answer:
There are two paramount differences between art and science. The first is that art is subjective while science is objective. The second is that art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.
Answer:
There are two differences
Step-by-step explanation:
Art expresses knowledge, most often in the form of subjective representation, while science is the system of acquiring knowledge.
(8x + 11x) + (-7 - 18)
Answer:
19x - 25
steps:
(8x + 11x) + (-7 - 18)
19x + (-25)
positive x negative = negative
19x - 25
Answer:
19x - 25
Step-by-step explanation:
(8x + 11x) + (-7 - 18) <------- add the bold ones (combine like terms)...
19x + (-7 - 18) <--------------- subtract the bold ones...
(19x) - 25 <-------------------- eliminate parenthases
19x - 25 <--------------------- solution...
Find the perimeter of the figure. due today
Answer:
62
Step-by-step explanation:
Since you are simply finding the perimeter, I assume they just want you to add all the sides. 13 + 15 + 10 + 10 + 14 = 62
Mateo is training for a race. On Monday Mateo ran 7/10 mile. On Tuesday Mateo ran 9/10 mile. how much farther did Mateon run on Tuesday than on Monday
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10} -\frac{7}{10} =\frac{2}{10} =\frac{1}{5}[/tex]
What is the measure of
Answer:
Just Plus the 2 Given and Minus in the 360 Because 360 It has a Fourside The Answer is 168degrees