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Work Shown:
Find the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%
The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%
We have to determine the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
What is the formula for the midpoints?C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is
B-C = 7.3-5.6
B-C= 1.70%, or you could say
C-A = 5.6 - 3.9
C-A= 1.70%
Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.
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Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin.
b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and a prime number
Answer:
3/20
1/5
Step-by-step explanation:
Sample space :
10 - faced die :
(1, 2, 3, 4,5, 6, 7,8, 9, 10)
Coin = (H, T)
P(H) = 1/2
Multiple of 3 = 3, 6, 9 = 3
P(Multiple of 3) = 3 / 10
P(H and multiple of 3) = 1/2 * 3/10 = 3 /20
2.)
P(tail) = 1/2
Prime numbers = (2, 3, 5, 7) = 4
P(A prime number) = 4 / 10
P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
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Element X is a radioactive isotope such that every 24 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 61 grams, to the nearest tenth of a
year?
Answer:
Step-by-step explanation:
We get to use the simple version of the half life equation:
[tex]N=N_0(\frac{1}{2})^{\frac{t}{H}[/tex] where N is the amount of radioactive element left after a specific number of years,
N0 is the initial amount of the element,
t is the number of years (our unknown), and
H is the Half life of the element. For us,
N is 61
N0 is 70,
t is unknown,
H is 24 years. Filling in:
[tex]61=70(.5)^{\frac{t}{24}[/tex]. We begin by dividing both sides by 70 to get:
[tex].8714285=(.5)^{\frac{t}{24}[/tex] and then take the natural log of both sides:
[tex]ln(.8714285=ln(.5)^{\frac{t}{24}[/tex] which allows us to bring down the exponent to the front on the right side:
[tex]ln(.8714285)=\frac{t}{24}ln(.5)[/tex]. We divide both sides by ln(.5) to get:
[tex].1985457976=\frac{t}{24}[/tex] and then multiply both sides by 24 to get:
t = 4.8 years
I need the answer or work this either pass or fail please !
Step-by-step explanation:
DAG = DG
120=120°
DHG + DG =360°
DHG +120° =360°
DHG+120°-120°=360°-120°
DHG°=240°
Write in standard form: 800,000 + 70,000 + 400 + 6
Answer:
870,406
Step-by-step explanation:
870,046
Hope this helps
. In this exercise, you will conduct regression analysis with binary and categorical variables. (a) Use the command tabulate to show the categories of the variable occupation and their frequencies. What is the relative frequency of the category Sales
Which expression represents 1/64
a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)
Answer:
The answer is B
Hope this helps
Brainliest??
Help me on this question please. Thx
conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a chi-square analysis. Their chi-square sum was 0.85. If their sum is less than the probability value, then their data fits their experiment to reject the null. If their sum is greater than the probability value to, then their data does not fit their experiment to accept the null. What was the conclusion of the data results for their experiment
Answer:
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Step-by-step explanation:
There are 3 colors so degrees of freedom = 3-1 = 2
The chi square value = 0.85
The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
The p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
What is the formula for surface area? Giving brainliest to the correct answer
Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .9370? a. .8264 b. – 1.53 c. 1.50 d. 1.96
Answer:
z₁(s) = - 1.53
Step-by-step explanation:
a) Value of z or z₁(s) area to the right is .9370
1 - 0.9370 = 0.063
Then if area to the left is 0.063 z₁(s) = - 1.53
Sydney says that altogether they have placed 2/3 of the eggs into Tanks A and B. Is Sydney correct?
-1/6 of the eggs into Tank A
-4/9 of the eggs into Tank B
Answer:
Sydney is incorrect
Step-by-step explanation:
We cannot start adding Tanks A and B because they have a different denominator.
So we have to find the Least Common Denominator (LCD)
The LCD is 18 so...
[tex]\frac{2}{3} =\frac{12}{18}[/tex]
I'm sorry I gtg to class...
Find the simplified product
9514 1404 393
Answer:
(b) -30x²√(2x)
Step-by-step explanation:
Squares can be removed from under the radical.
Answer:
The answer is b on edg
Step-by-step explanation:
Just took the assignment
One minus the product of four and a number z
Answer:
1-(4×z) is the expression
Answer:
1 - 4z
Feel free to mark this as brainliest :D
Consider the following graph of y = f (x). Please help
Answer:
f. for the x values I think its -1 & 5
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
y = ( x + 9 )^2 - 2
................................
................................
what is a equivalent expression for 2/8 - 1/5 times x?
Answer:
2/8 - 1/5x
1/4 - 1/5x
5/20 - 4/20x
*all possible answers listed above*
Step-by-step explanation:
Are there choices?
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
NO LINKS PLS HELP MMEEE
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
Please help me!! I will give you brainliest!
Answer:
volume = 7/8 cubic units
Step-by-step explanation:
[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]
can someone help me out pls i’ll give brainliest!
answer
three
explain hope this helps
What’s -7 and 2/3 plus -5 and 1/2
Answer:
[tex]-13\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-7\frac{2}{3} +(-5\frac{1}{2})[/tex]
[tex]-7\frac{2}{3} -5\frac{1}{2}[/tex]
[tex]-\frac{23}{3} -\frac{11}{2}[/tex]
Prime factorization of the numbers:
3 = 3 × 1
2 = 2 × 1
LCM of (3, 2) = 6
2 × 3
= 6
[tex]-\frac{79}{6}[/tex]
[tex]-13\frac{1}{6}[/tex]
This is urgent please help me out.The side lengths of different triangles are given. Which triangle is a right triangle?
Answer:
C. √18, √7, 5
Step-by-step explanation:
_____________
Given m || n, find the value of x and y.
(5x+16)
m
(y+6)
(7x+4)
n
Answer:
3<+2=13 is the answer
Step-by-step explanation:
I’m kinda stuck on this question, can y’all please help me?
Points J, K and M form a triangle.
In this triangle you are given the angles for JKM (50) and KJM (60)
The 3 inside angles of a triangle need to equal 180.
The third angle JMK would be 180 minus the two given angles:
JMK = 180 - 50 - 60 = 70
JMK = 70 degrees
Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.
Anyone know?
Answer: The probability that a value is less than 36.8 is 0.9993.
Step-by-step explanation:
Let X be the random variable that normally distributed.
Given: [tex]\mu=32,\sigma=1.5[/tex]
The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]
[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]
Therefore, The probability that a value is less than 36.8 is 0.9993.
An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. She considers 6 different temperatures, 5 different pressures, and 4 different catalysts are under consideration.
a. If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
b. How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
Answer:
a) 120 possible experimental runs
b) 8 possible experimental runs
c) 0
Step-by-step explanation:
a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.
N = T × P × C
N = 6 × 5 × 4 = 120
b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.
N = T × P × C
N = 1 × 2 × 4 = 8
c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
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.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.