Answer : i) The probability of finding the first case in 4 trials is 0.1024 ii) The probability that the team must select more than 6 people before finding one who has a corona virus is 0.4095.
Explanation : Given information:Let p is the probability that he succeeds in finding such a person, is 0.2 and X denote the number of people asked until the first success.
(i) What is the probability that the team must select 4 people until he finds one who has a corona virus?
The number of trials required until the first success follows geometric distribution.
The probability of finding the first case in 4 trials is: P(X = 4) = q^3p, where q = 1 - p. We have p = 0.2 and q = 0.8. So, P(X = 4) = 0.8^3 × 0.2 = 0.1024
(ii) What is the probability that the team must select more than 6 people before finding one who who has a corona virus? P(X > 6) = 1 - P(X ≤ 6) The probability of finding the first case in the first 6 trials is:P(X ≤ 6) = 1 - q^6p= 1 - 0.8^6 × 0.2= 0.59049P(X > 6) = 1 - P(X ≤ 6)= 1 - 0.59049= 0.4095 Therefore, the probability that the team must select more than 6 people before finding one who has a corona virus is 0.4095.
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jsut heklp plkease ive literally beegn sobbing for foirefver
Answer:
A. Side a is 7 inches long and side b is 6 inches long.
Step-by-step explanation:
a = 21/3 = 7
b = 18/3 = 6
I WILL GIVE BRAINLIEST!!!!!!
Write in complete sentences to explain what a budget is, how to make one, and how to balance it.
In a large population of adults, the mean IQ is 111 with a standard deviation of 22. Suppose 55 adults are randomly selected for a market research campaign. (Round all answers to 4 decimal places, if needed.)
(a) The distribution of IQ is approximately normal is exactly normal may or may not be normal is certainly skewed.
(b) The distribution of the sample mean IQ is approximately normal exactly normal not normal left-skewed right-skewed with a mean of ? and a standard deviation of .
(c) The probability that the sample mean IQ is less than 107 is .
(d) The probability that the sample mean IQ is greater than 107 is .
(e) The probability that the sample mean IQ is between 107 and 117 is
(a) The distribution of IQ is approximately normal.
(b) The distribution of the sample mean IQ is approximately normal with a mean of 111 and a standard deviation of 3.0410.
(c) The probability that the sample mean IQ is less than 107 is 0.1056.
(d) The probability that the sample mean IQ is greater than 107 is 0.8944.
(e) The probability that the sample mean IQ is between 107 and 117 is 0.7881.
How to solve the research campaign?(a) The given information does not indicate any significant departure from normality, and with a large population, the Central Limit Theorem suggests that the distribution of IQ will be approximately normal.
(b) The mean of the sample mean IQ will be equal to the population mean, which is 111.
The standard deviation of the sample mean can be calculated by dividing the population standard deviation (22) by the square root of the sample size (55).
Therefore, the standard deviation of the sample mean IQ is 22 / √(55) = 3.0410.
(c) To calculate this probability, standardize the sample mean IQ value using the formula z = (x - μ) / (σ / √(n)),
where x = value to find the probability for, μ = population mean, σ = population standard deviation, and n = sample size.
In this case, find the probability for x = 107.
By plugging in the values, calculate the z-score and then use a standard normal distribution table or calculator to find the corresponding probability, which is 0.1056.
(d) Similar to part (c), use the same formula to standardize the value of 107 and calculate the z-score.
Then, find the probability of the sample mean IQ being greater than 107 by subtracting the probability found in part (c) from 1, which is 0.8944.
(e) To calculate this probability, find the individual probabilities for both values and then subtract the probability found in part (d) from the probability found in part (c).
The probability of the sample mean IQ being less than 107 is 0.1056, and the probability of the sample mean IQ being greater than 117 is 0.2119 (which can be found by subtracting the probability of being less than 117 from 1).
Therefore, the probability of the sample mean IQ being between 107 and 117 is 0.1056 + (1 - 0.2119) = 0.7881.
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Find the Laplace transform F(s) = L {f(t)} of the function f(t) = et-³h(t – 3), defined on the interval t > 0. F(s) = L {et ³h(t - 3)}
The Laplace transform of f(t) = et-³h(t – 3) is F(s) = 1/3 * 1/(s + 3) - 1/3 * 1/s, or F(s) = (s - 1)/(3s(s + 3)).
To find the Laplace transform F(s) = L{f(t)} of the function f(t) = et-³h(t – 3), we can use the properties and formulas of Laplace transforms. Let's break down the function and compute its transform step by step.
et-³: This term represents the exponential function with a power of t-³. The Laplace transform of et is given by 1/(s - a), where a is the exponent in the exponential function. Therefore, the Laplace transform of et-³ is 1/(s + 3).
h(t - 3): This term represents the Heaviside step function, h(t), shifted by 3 units to the right. The Laplace transform of the Heaviside step function h(t) is 1/s. When the function is shifted by a constant, the Laplace transform remains the same.
Combining these results, we have F(s) = L{f(t)} = 1/(s + 3) * 1/s.
To simplify the expression, we can use partial fraction decomposition:
1/(s + 3) * 1/s = A/(s + 3) + B/s.
Solving for A and B by equating numerators, we find A = 1/3 and B = -1/3.
Therefore, the Laplace transform of f(t) = et-³h(t – 3) is F(s) = 1/3 * 1/(s + 3) - 1/3 * 1/s, or F(s) = (s - 1)/(3s(s + 3)).
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The electronics store is offering 30% off all accessories. If Lisa saves $9.00 buying four charging cords, what was the original price of the cords?
Answer:
Cost of each cord = $7.5
Step-by-step explanation:
Given:
Discount rate = 30% = 0.30
Amount save by Lisa = $9
Number of charger = 4
Find:
Cost of each cord
Computation:
Total cost of 4 charger = Amount save by Lisa[1/Discount rate]
Total cost of 4 charger = 9[1/0.30]
Total cost of 4 charger = $30
Cost of each cord = Total cost of 4 charger / Number of charger
Cost of each cord = $30 / 4
Cost of each cord = $7.5
Can anyone please help asap I keep getting those links bots
Each Friday, the school prints 400 copies of the school newsletter. The equation c = 400w models the relationship between the number of weeks and the total number of copies of the newsletters printed. What is true of the graph of this scenario?
A viable point on the graph is
.
The values of w must be
Answer: A viable point on the graph is ✔ (8, 3,200).
The values of w must be✔ any whole number.
Answer:
A viable point on the graph is
✔ (8, 3,200)
.
The values of w must be
✔ any whole number
.Step-by-step explanation:
I did it on Edge and got it right
Maths
Oder of rotations symmetry and number of lines of symmetry
Answer:
i) a) 4 lines
b) 1 line
c) 3 line
d) 2 line
ii) don't know
What is 5 - (-2) =
Plz help I’m thinking it’s 3 but don’t know
Answer:
7
Step-by-step explanation:
just add them
them you get answer
Which expression is equivalent to 16 + 2 * 36?
Answer: F 2^4+2^3 .3^2
Step-by-step explanation:
16+2*36
2^4+72
2^4+2^3 .3^2
here 2^3=8
and 3^2=9
so 8*9=72
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHAT TO DRAW
Answer:
calm down rosie.... it's okay to not be too good at math... take Justin Timberlake. in the show "Friends with Benefits" he's horrible at math but good at life. so don't worry too much. You are still a good person.. even if you're bad at math :P
Step-by-step explanation:
now for the math part
as below
City 1
New Orleans, Louisiana
New Orleans, Louisiana
New Orleans, Louisiana
New Orleans, Louisiana
City 2
Washington, DC
Nashville, Tennessee
Seattle, Washington
Shreveport, Louisiana
Approximate Distance Between cities
2 x 106 meters
9 x 105 meters
4 X 106 meters
5 x 105 meters
Add
1. What is the combined distance that you would travel if you completed a roundtrip from New Orleans, Louisiana,
to Washington, DC, and a roundtrip from New Orleans, Louisiana, to Seattle, Washington? Write your answer in
scientific notation.
A Bow-Wow chew toy costs $20. 10% of the purchase price is
donated to an animal shelter. How much is donated for each
chew toy?
Answer:
2 dollars donated.
Step-by-step explanation:
Answer:
18.18
Step-by-step explanation:
what is the area of the smaller figure, in square centimeters?
a. 4
b. 8
c. 20
d. 40
A composite figure consists of two smaller figures - a rectangle and a Triangle. Therefore, the answer is 4 cm² (option a).
A composite figure that consists of two smaller figures - a rectangle and a triangle.
To find the area of the composite figure, we need to find the area of each smaller figure and add them up .Areaof rectangle to find the area of the rectangle, we need to multiply its length and width :Area of rectangle = 2 cm × 4 cm = 8 cm²Areaof triangle too find the area of the triangle, we need to use the formula :
Area of triangle = 1/2 × base ×heightT
he base of the triangle is 4 cm and the height is 2 cm, so:
Area of triangle = 1/2 × 4 cm × 2 cm = 4 cm²Area of composite figure To find the area of the composite figure, we need to add up the area of the rectangle and the area of the triangle: Area of composite figure = 8 cm² + 4 cm² = 12 cm². Therefore, the answer is 4 cm² (option a).
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A soccer field is 100 meters long. What could be its length in yards? A. 33.3 B. 91 C. 100 D. 109
Answer:
D. 109
Step-by-step explanation:
100 meters into yards is 109.361
the ratio is 1.094 so 109
The table below lists the number of games played in a yearly best-of-seven baseball championship series, along with the expected proportions for the number of games played with teams of equal abilities. Use a 0.05 significance level to test the claim that the actual numbers of games fit the distribution indicated by the expected proportions.
Games_Played Actual_contests Expected_proportion
4 16 0.125
5 21 0.25
6 21 0.3125
7 38 0.3125
determine the null hypotheses
what is the t statistics
what is the p value
what is the conclusion for the test statistic
The null hypothesis is that the actual numbers of games fit the distribution indicated by the expected proportions.
The following is the calculation of the t-statistics for the given data.
[tex]T=\frac{(O_i-E_i)} {\sqrt{E_i}} [/tex]where [tex]O_i[/tex] represents the observed frequency, and [tex]E_i[/tex] represents the expected frequency.t statistics for
4: [tex]\frac {(16-25)} {\sqrt {25(0.125)}} [/tex] = -3.2t statistics for
5: [tex]\frac {(21-25)} {\sqrt {25(0.25)}} [/tex] = -1.8t statistics for
6: [tex]\frac {(21-31)} {\sqrt {25(0.3125)}} [/tex] = -3.2t statistics for
7: [tex]\frac {(38-31)} {\sqrt {25(0.3125)}} [/tex] = 3.2
The critical value of t at the 0.05 level of significance is ± 2.132. Since the t-statistics of 3.2 > 2.132, we reject the null hypothesis. So, there is a significant difference between the actual number of games played and the expected number of games played in the baseball championship series at the 0.05 significance level. p-value = P (|t| > 3.2) = 0.002
The conclusion for the test statistic: Since the p-value (0.002) is less than the level of significance (0.05), we reject the null hypothesis and conclude that there is a significant difference between the actual numbers of games played and the distribution indicated by the expected proportions.
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What is the square root of 144
The square root of 144 using the prime factorization method is 12.
When a number is multiplied by itself, the square of the number can be obtained.
The square root of 144 can be determined by the prime factorization method:
The prime factors of 144 are:
[tex]144 = 2 \times 2\times2 \times2 \times3 \times 3[/tex]
Since the square root can be obtained by forming the pair of the given number.
It can be written as:
144 = [tex]2^2 \times 3[/tex]
=[tex]4 \times 3[/tex]
= 12
Thus, the square root of 144 is 12.
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Which statements are correct? Check all that apply. 5 students study both French and Spanish. 63 students study French. 2 students study neither French nor Spanish. 30 students study French, but not Spanish. 63 students study Spanish.
Answer:
The correct answers are:
• Option 1,
• Option 3 and
• Option 4
Step-by-step explanation:
From the two-way table, it is true that;
1.) 5 students study both French and Spanish.
2.) 30 students study French but not Spanish.
3.) 2 students study neither French nor Spanish
4.) 35 students study French
5.) 68 students study Spanish
6.) 63 students study Spanish but not French
This makes the correct answers options 1, 3 and 4
P.S: I believe your question is from the attached image
Answer:
A. 5 students study both French and Spanish.
C. 2 students study neither French nor Spanish.
D. 30 students study French, but not Spanish.
:)
A student has a rectangular photograph with side lengths of 5 inches and x inches The area of the rectangle is 33 square inches. The student wants to reduce the size of the photograph so that each side length is of its original length. The photograph will be printed on paper that costs $0.16 per square inch. What will be the cost of the paper needed to print the reduced photograph?
Answer:
1.32
Step-by-step explanation:
total area = 33
33/5 1/2 = 6 . X=6
5 1/2 x 1/2 = 2.75 . 6 x 1/2 = 3
2.75 x 3 = 8.25
new area = 8.25
8.25 x .13 = 1.32
3 3/5 X (-8 1/3) = ?
-30 is your answer.
Step by Step pictured below.
Plz help me we are almost done
Answer: 1. A 2. 1/5 3. 5/12 4. Not sure
Step-by-step explanation:
She spent 1hr 15min washing her car and she spent 1hr 50min cleaning her house, how long did it take
Answer:
3 hours 5 minutes
Step-by-step explanation:
1 hour + 1 hour = 2hrs
15 minutes + 50 minutes = 65 minutes
65 minutes to 1 hr = 1 hr 5 minutes
2 hours + 1 hr 5 minutes = 3 hours 5 minutes
Answer:
3 hours and 5 minutes
Step-by-step explanation:
1 hour=60 minutes
1 hour +1 hour =2 hours
50 minutes +15 minutes = 1 hour and 5 minutes
1 hour and 5 minutes +2 hours=
3 hours and 5 minutes
Can I get help with this please I am so stuck in here
Answer:
the correct answer is d
hope it help
Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?
Answer:
Parallelogram Theorem #1 Converse
Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Parallelogram opposite sides converse. Therefore, option A is the correct answer.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Let the diagonals AC and BC intersect at O.
Consider, triangle BOC and triangle AOD
OA=OC (Shown in the figure)
∠AOD=∠BOC (Vertically opposite angles are equal)
BO=DO (Shown in the figure)
By SAS congruence theorem
triangle BOC and triangle AOD are congruent
So, by CPCT AD=BC
Similarly,
From, triangle AOB and triangle DOC
AB=DC
Therefore, option A is the correct answer.
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Can someone please help me with this question
This is Amy's family.
Her family of 6 people(4 adults and 2 children) went to
Super Nintendo World last year. Although she couldn't
remember what each tickets costed, she knew that her
family paid $1700 total for the tickets,
use variable a for number of adult tickets
use variable c for number of child tickets
Write an equation that describes this situation,
Answer:
4a + 2c = 1700
Step-by-step explanation:
Help plz!! 100 points
Answer:
t = 0, 1, 4, 8
h = 0, 12, 0 , 18
Step-by-step explanation:
t = 0 + 1 + 3 + 4
/ x1 - 5 (2) x + 4x + 9
h = 0, 12, 0, 18
After 18 seconds the ball attains...
x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)
Answer:
t = 0, 1, 4, 8
h = 0, 12, 0 , 18
t = 0 + 1 + 3 + 4
Step-by-step explanation:
/ x1 - 5 (2) x + 4x + 9
h = 0, 12, 0, 18
After 18 seconds the ball attains...
x/3 = 1/4 - 4x 2(7) = 9/2 - 2 / 4 (0)
which of the following matrices has an inverse?
Answer: C
Step-by-step explanation:
10!!! POINTS AND BRAINLIEST!!!
Answer:
[tex]\boxed {\boxed {\sf 53}}[/tex]
Step-by-step explanation:
This is a stem and leaf plot, so the stem represents the first digit, while the leaf is the last digit.
Stem# Leaf#The first stem is 0, with a leaf of 4. Therefore,
04 = 4The last stem is 5, with 2 leaves: 6 and 7. We want to find the largest number, so we will use 7.
57The range is the difference between the largest and smallest number. The largest number is 57 and the smallest is 4.
Range= largest-smallest Range= 57-4=53The range is 53.
Find the value of x. A 65° B 32.5° C 70° D 147.5°
Answer:
A
Step-by-step explanation:
idek sorry i think its A
Can someone help me pleaseee
Answer:
d or c more likey d
Step-by-step explanation: