Answer:
C
Step-by-step explanation:
Hope it helps!!
8. Let X be the number of cars per minute passing a certain point of some road between 8am and 10am on a Sunday. Assume that X has a Poisson distribution with mean 5. Find the probability of observing 3 or fewer cars during any given minute.
Answer:
P (3 or fewer) =0.2650
Step-by-step explanation:
Mean = x` = 5
The Poisson distribution formula is given by
P(X) = e-ˣ` x`ˣ/ x!
The mean is 5 and the X takes the values 0,1,2,and 3 which means 3 or fewer, so we add the probability of all the values of X to get the desired Value of X.
P(3 or fewer ) = e-⁵ (5)³/3!+ e-⁵ (5)²/2! +e-⁵ (5)/1!+e-⁵ (5)⁰/0!
Putting the Values
P (3 or fewer) = 0.006737 . 125 / 6 + 0.006737 . 25 / 2 +0.006737 . 5 / 1 + 0.006737 . 1 / 1
P (3 or fewer) = 0.140374 + 0.08422+ 0.03369 +0.006737
P (3 or fewer) =0.2650
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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put the steps, for changing the formula for the arc length of a circle in degrees to the formula for the arc length of a circle in radians in the correct order.
9514 1404 393
Answer:
top down: 1, 5, 6, 4, 8, 2, 3, 7
Step-by-step explanation:
It appears the expected order may be ...
__
Write the formula for the arc length of a circle with central angle, θ, in degrees.
\(\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r\)
Replace 360° with 2π radians.
\(\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}\)
Replace the angle ratio in degrees with the angle ratio in radians.
\(\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi r\)
Simplify by cancelling
\(\textit{Arc Length}=\theta r\)
What is the value of the tangent of
Answer:
Step-by-step explanation:
With reference < H
perpendicular (p) = 12
base (b) = 5
so now
tangent of < H
= p / b
= 12 / 5
hope it helps :)
What is the percent change from 310 to 155?
Answer: 50% decrease
Step-by-step explanation:
50% of 310 = 155
310-155=155
50% decrease :)
ANSWER: 50% decrease
SOLUTION:
50% of 310 = 155
310-155=155
So in all the answer is.......
50% decrease :)))))
-XOXOXO:)
Suppose a population contains 20,000 people. All else being equal, a study
based on a population sample that includes which of the following numbers
of respondents would be the most reliable?
A. 200
OB. 20
C. 2000
D. 2
A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.
In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.
A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.
Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.
Option A: 200 respondents
This represents only 1% of the population.
While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.
Option B: 20 respondents
This represents only 0.1% of the population.
With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.
Option C: 2000 respondents
This represents 10% of the population.
While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.
The study may provide reasonably reliable results, but there is room for potential sampling error.
Option D: 2 respondents
This represents an extremely small sample size, accounting for only 0.01% of the population.
With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.
Based on the options provided, option C with 2000 respondents would be the most reliable study.
Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.
However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.
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a student runs an experiment to test how microwave power and temperature affect popping. each bag of popcorn can be popped for 3 minutes or 4 minutes. the microwave power can be set to low, medium, and high. each combination of time and power is tested on one bag of popcorn and the number of unpopped kernels is recorded. The number of treatments in this experiment are:
• 12
• 6
• 4
Option • 12 is the answer .The number of treatments in the experiment is 12.
The understudy is directing a trial to comprehend the connection between microwave power and time on the quantity of unpopped bits in a pack of popcorn. There are three degrees of microwave power: low, medium, and high. Each sack of popcorn can be popped for either 3 minutes or 4 minutes, which provides us with a sum of double cross variables. To cover every one of the potential mixes of time and power, the understudy runs 12 distinct medicines (3 degrees of force x 2 degrees of time). Every treatment addresses one sack of popcorn that is popped for a particular time frame and with a particular power setting. The quantity of unpopped parts is recorded for every treatment, and the outcomes are utilized to make determinations about the impacts of microwave power and time on the quantity of unpopped pieces.
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Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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Someone please solve all five of these please you get 30 points and If you are correct I will make brainlienst please
Answer:
15.The ratio is (√2)/2.
11 A. A=314.2in^2
6.
figure C
Perimeter
3 * (1/2) * (6π) + (1/2) * (18π) = 18π cm
Area
3 * (1/2) * ((3 ^ 2) π) + (1/2) * ((9) ^ 2π) = 54π cm ^ 2
Figure B
Perimeter
6 * (1/2) * (4π) + 2 * (4) = (12π + 8) cm
Area
3 * (4 * 4) = 48 cm ^ 2
11 B. 78.54 cm^2
Step-by-step explanation:
I cant insure they are all right
in the past year a total of 300 deaths due to pregnancy conditions were reported as well as 350,000,000 live birth. calculate the maternal mortality rate for the year?
Solve for h: a = 1/2bh
h = A over 2b
h = A/b (1 /2)
h = 2Ab
h = 2A/b
Answer:
The answer is the last choice, h= 2a/b
Step-by-step explanation:
If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh. Next you would divide each side of the equation by b to solve for h. This would give you h= 2a/b, which is your final answer.
Find the distance between the two points rounding to the nearest tenth (if necessary). (−2,−2) and (0,7)
Answer:
9 units
Step-by-step explanation:
(0,7)-(-2,-2)= (2,9)
distance = 9 units
Answer:
2.2
Step-by-step explanation:
(-2,-0)^2+(-2,-7)^2
(-2)^2+(-9)^2
4+81
85
9.2
Determine the equation of the line passing through the points (-1, 1) and (1, 7).
Write the line in standard form Ax+By=C
Answer:
\(3x + y = -4\)
Step-by-step explanation:
We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.
\(( - 1, \: 1) \: and \: (1, \: 7) \\ slope = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ s = \frac{7 - 1}{1 - ( - 1)} \\ s = \frac{6}{2} \)
Slope is equal to 3.
Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.
note that the coefficient of x is the slope. In this case the A from the standard form (Ax + By= C) is the slope.
\( \\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \: \: \: y = 1 \: \: \: x = - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\ - 3 + 1 = c \)
\( - 2 = c \\ therefore \: the \: equation \: of \: the \\ \: line \: is \\ ax + by = c \\ 3x + y = - 4\)
HELP MEEEE!!!!!!!!!!!!!!!!
Answer:
19 degrees
Step-by-step explanation:
You know the sum of the interior angles of a triangle is 180 degrees.
So then you can make the equation 82 + 41 + 3x = 180
By solving for x, you get the answer:
123 + 3x = 180
3x = 57
x = 19 degrees
Hope dis helps ya
Answer:
X = 19°
Explination:
*You need to know that every trangle adds up to 180 degrees!1. Add the 2 (already known) numbers together
2. Subtract the first answer with 180
3. Divide the second answer by 3 to get your answer
Also looks like this:
1. 82° + 41° = 123°
2. 180° - 123° = 57°
3. 57° ÷ 3 = 19°
4. X = 19°
PLEASE ANSWER! I WILL GIVE BRAINEST!
A student is building a squirrel feeder for a family member. The figure is a model of the feeder.
(A rectangular prism with dimensions 2 and three fourths inches by 16 and one half inches by 4 inches.)
How much feed can the container hold?
It is possible to select 3 restraunts in how many different ways?
There are 1140 different possible ways to select 3 restaurants out of 20 for the promotional program.
In mathematics, what are a permutation and combination?Combination and permutation are two alternative strategies in mathematics to divide up a collection of components into subsets. The subset's components can be listed in any order when combined. The components of the subset are listed in a permutation in a certain order.The combination formula, which is: can be used to resolve this issue.
n C r = r! * (n-r)!
where r is the number of restaurants to be chosen, and n is the total number of restaurants (20 in this case). (3 in this case).
By replacing these values, we obtain:
20 C 3 = 20! / (3! * (20-3)!) = 20! / (3! * 17!) = (20 * 19 * 18) / (3 * 2 * 1) = 1140
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A physiologist believes he has discovered a new steroid hormone that can control the blood glucose in mammals. In an experiment he injects laboratory rats with a small amount of this steroid hormone and, after a suitable waiting period measures the blood glucose level of the rats. In his twelve experimental rats he obtains the following levels of blood glucose {35,36,21,33,34,35,33,35,37,36,38,35}. From previous studies of thousands of normal, un-manipulated rats he knows that the mean (mu) blood glucose level in this species of rat (his laboratory population) is 32 and that the standard deviation is 1.15. Evaluate the hypothesis that this new steroid hormone decreases blood glucose levels. Use an alpha-level of 0.05 for this analysis.
Calculate the obtained statistic:
Answer:
Step-by-step explanation:
Anna built a prism in the shape of a cube out of wood
The volume of the two prisms compares that the volume of prism B will double.
We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:
V = B x h
So, the volume of the two prism A= V = B x h
V = 18 x h = 18h
the volume of the two prism B= V = B x h
V = 18 x 2h = 36h
So, the volume of prism B will double thus the correct option is B.
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The complete question is;
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
How does the volume of the two prisms compare?
The volume of prism B will triple.
The volume of prism B will double.
The volume of prism B will decrease.
The volume of prism B will be cut in half.
A certain star is 3.5 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How far from the earth (in miles) is the star? Use Scientific Notation to answer.
Answer:
\(2.065 \times 10^{15}\)
Step-by-step explanation:
\((3.5 \times 10^{2})(5.9 \times 10^{12}) \\ \\ =(3.5)(5.9)(10^{14}) \\ \\ =20.65(10^{14}) \\ \\ =2.065 \times 10^{15}\)
Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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Find the measure of COA. Then, classify the angle.
Answer:
The Angle COA=110°
An Obtuse Angle
A soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth. 28.26 gallons 113.04 gallons 211.38 gallons 845.54 gallons
The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.
Now, radius = 3/2 =1.5 feet
We know that, the formula to find the volume of a cylinder is πr²h.
Here, 3.14×1.5²×4
= 28.26 cubic feet
In gallons = 28.26×7.48
= 211.38 gallons
Therefore, option C is the correct answer.
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The correct option is C, 211.38. Hope this helps :)
A fast food restaurant sells milkshake in a container composed of a cylinder with a radius of 2 inches and a height of 3 inches surmounted by a hemispherical top of a radius 2 inches.
a.) Compute the volume of milkshake that it contains
b.) Compute the surface area of the container
Answer:
Below in bold.
Step-by-step explanation:
(a) Volume = volume of the cylinder + volume of hemisphere
= pi r^2 h + 1/2 * 4/3 pi r^3
= pi 2^2 3 + 2/3 pi 2^3
= 12pi + 16pi/3
= 52pi/3
= 52pi/3 in^3
= 54.45 in^3 to nearest hundredth.
(b) Surface area = area of base + area of curved part + area of the hemisphere
= pi 2^2 + 3 * 2pi 2 + 2 pi 2^2
= 4pi + 8 pi + 12pi
= 24pi in^2
= 75.40 to nearest hundredth.
Multi-Step Problem You are choosing between two electricity providers. The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. a. Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service. Write the two equations representing the cost of each company's service for one month.
The total cost for Zap Electric Company and Bolt Electric Company are y = 0.06r + 6.55 and y = 0.12r + 2.83
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service.
The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. Hence:
y = 0.06r + 6.55
The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. Hence:
y = 0.12r + 2.83
The cost is y = 0.06r + 6.55 and y = 0.12r + 2.83
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Suppose that the distribution of monthly revenues of a new startup business is not symmetric.
According to Chebyshev's Theorem, at least approximately what percentage of the revenues are within k=3.3 standard deviations of the mean?
According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.
What is Chebyshev's Theorem?
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.
According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.
So when k = 3.3
1 - 1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%
Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.
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What percent is 5 students out of 150 students
Please
Answer:
3.33%
Step-by-step explanation:
5/150 = 1/30
Answer:
5 students out of 150 students is equivalent to 3.33%.
Step-by-step explanation:
\(5/150=0.03333333333\)
\(0.03333333333=3.33%\)%
Which of the following statements are true, given angle S congruent to angle J and angle N congruent to angle E? Select all the apply
Given that the triangles JOE and SAN are similar the answers are:
1 True, because the inner angles of a triangle always add up 180 degrees
2 True, you use the angle-angle similarity criterion
3 False, this is not necessarily true
4 False, for this to be true the triangles have to be congruent
5 False, this is not necessarily true
6 False, because they are congruent
7 True, because the triangles are similar
For the following right triangle, find the side length x.
Please help ASAP!!!!!!
The area of the triangle shown in the question is 27 mi².
What is a triangle?A triangle is a plane shape with three sides.
To calculate the area of the triangle, we use the formula below
Formula:
A = bh/2................... Equation 1Where:
A = Area of the triangleb = Base of the triangleh = Height of the triangleFrom the question,
Given:
b = 6 mih = 9 miSubstitute these values into equation 1
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COULD SOMEONE PLEASE HELP ME PLEASE