Using the hypergeometric distribution, it is found that there is a 0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.
The containers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 18 containers, hence [tex]N = 18[/tex]11 of those are in Florida, hence [tex]k = 11[/tex].A sample of 3 containers is taken, hence [tex]n = 3[/tex]The probability that exactly one of the containers is from the Florida supplier is P(X = 1), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,18,3,11) = \frac{C_{11,1}C_{7,2}}{C_{18,3}} = 0.2831[/tex]
0.2831 = 28.31% probability that exactly one of the containers is from the Florida supplier.
A similar problem is given at https://brainly.com/question/24826394
HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Q. 2 (d)
Step-by-step explanation:
4/3 x + 4 2/3
2(2/3)(x) + 14/3
2(2/3)(x) + 7(2/3)
take (2/3) common
2/3 (2x + 7)
ANSWER!
In the diagram below, ΔABC ≅ ΔDEF. Complete the statement AB¯¯¯¯¯¯¯¯≅ __
A. BC
B. DF
C. FE
D. DE
Answer:
The answer would be D. DE
Step-by-step explanation:
same prob
Congruent triangles are exact same triangles, but they might be placed at different positions. The correct option is D.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
Given that ΔABC ≅ ΔDEF. Therefore, the given sentence can be completed as AB ≅ ΔDE.
Hence, the side AB ≅ ΔDE
Learn more about Congruent Triangles:
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According to the graph of the rational function y equals 4 over the quantity x squared minus 4 end quantity which of the following statements is/are true? The function is even. The function is increasing for all values in the domain. There is a horizontal asymptote along the x-axis. I only I and II only I and III only I, II, and III
Using function concepts, it is found that the correct options are:
I and III only
--------------------------------
The function is:
[tex]y = \frac{4}{x^2 - 4}[/tex]
--------------------------------
Statement 1:
A function is even if: [tex]f(x) = f(-x)[/tex]
We have that:
[tex]f(x) = \frac{4}{x^2 - 4}[/tex]
[tex]f(-x) = \frac{4}{(-x)^2 - 4} = \frac{4}{x^2 - 4} = f(x)[/tex]
Since [tex]f(x) = f(-x)[/tex], the function is even, and the statement is true.
--------------------------------
Statement 2:
The function increases when: [tex]f^{\prime}(x) > 0[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{-8x}{(x^2-4)^2}[/tex]
The denominator is always positive, but the numerator can be both positive/negative, which means that when the numerator is negative(x > 0), the derivative will be negative, thus the function will decrease and the statement is false.
--------------------------------
Statement 3:
A horizontal asymptote is given by:
[tex]y = \lim_{x \rightarrow \infty} f(x)[/tex]
In this question:
[tex]y = \lim_{x \rightarrow \infty} \frac{4}{x^2 - 4} = \frac{4}{\infty - 4} = \frac{4}{\infty} = 0[/tex]
y = 0 is the x-axis, thus, the statement is true, and the correct option is:
I and III only
A similar problem is given at https://brainly.com/question/23535769
Answer:
I and III
Step-by-step explanation:
Please answer this and show the work/explain.
2/7m - 1/7 = 3/14
There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer.
Answer:
15m+12m+15m+13m=54m
2m×12m=24m
HELP keep saying im getting wrong
instruction find the perimeter of the polygon
Answer:
perimeter = 50
Step-by-step explanation:
Tangents to a circle from an external point are congruent , then
perimeter = (8 + 8) + (10 + 10) + (7 + 7) = 16 + 20 + 14 = 50
If the product of a and cis negative, you subtract the factors of the product to arrive at c. True False
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Answer:
false
Step-by-step explanation:
The statement is nonsense (false). Regardless of the sign of a product, subtraction plays no part in anything related to it.
Jared works at a clothing store and is listening to a customer complain about a shirt he purchased that's damaged. Which behavior can Jared exhibit to show good communication skills with the customer? O a) Stopping the customer to quickly explain the store's return policy b) Repeating back what he has heard once the customer is done speaking Od Asking the customer how the shirt was damaged O d) Promising the customer a full refund even though it's against policy
Answer:
C
Step-by-step explanation:
in my point of view, my choice is C (asking the customer how the shirt was damaged) because when he finds out the reason why the shirt was damaged, he will explain whether or not that fault is in the store's return policy
another reason:
A) stopping the customers when they are talking, it's impolite behavior and i ensure that that customer will feel disatified.
B) i guess that customer doesnt waste of time because it
D) a full refund without finding the reason, i dont think it's a good idea
A certain university has 25,000 registered students. To estimate the percentage who are living at home, a simple random sample of 400 students is drawn. It turns out that 317 of them are living at home. Now, 317 out of 400 is (about) 79%. Indicate whether each quantity is actual or estimated from the data. You'll get partial credit for
Answer:
Indication of Actual Quantity and Estimated Quantity
Actual Quantity:
Registered students in the university = 25,000
Sample of students = 400
Students living at home = 317
Estimated Quantity:
317 out of 400 students
79%
Step-by-step explanation:
An actual quantity does not require to be estimated. It is usually given in the question or scenario. For example, the number of registered students in the university is an actual quantity. The percentage of students who live at home from the simple random sample of 400 is an estimated quantity.
The sum of two numbers is -17. Their difference is 41. Find the numbers
Answer:
x = 12
y = -29
Step-by-step explanation:
Our given equations: x + y = -17 and x - y = 41
Solve for x and substitute.
x = -17 - y
(-17 - y) - y = 41
-17 - 2y = 41
2y = -58
y = -29
Solve for x using y
x + (-29) = -17
x = 12
The sum of first 'n' terms. Sn of a particular Arithmetic Progression is given by Sn=12n-2n^2. Find the first term and the common difference.
Answer:
d=-4 and a=10
Step-by-step explanation:
The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=12 and d/2=-2, d=-4 and a=10.
Which fraction is equivalent to 3/-5? Please help ASAP
Answer:
-3/5
Step-by-step explanation:
3/ -5 is also equal to -3/5 or - (3/5)
A football is kicked with a speed of 18.0 m/s at an angle of 36.9° to the horizontal.
7. What are the respective vertical and horizontal components of the initial velocity of the football?
A) 10.8 m/s, 14.4 m/s
B) 12.9 m/s, 7.61 m/s
C) 7.61 m/s, 12.9 m/s
D) 14.4 m/s, 10.8 m/s
E) 9 m/s, 9 m/s
Answer:
A
Step-by-step explanation:
horizontal component=18cos 36.9°≈14.39 m/s≈14.4 m/s
Vertical component=18 sin 36.9°≈10.81 m/s≈10.8 m/s
Question 3 of 10
Which angle in ABC has the largest measure?
2
С
A ZA
B. 8
C. 20
O O
D. Cannot be determined
Answer:
Option C
Angle C has the largest measure
Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 2/3. What is the value of x?
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Answer:
x = 7
Step-by-step explanation:
10.5 maps to x with a scale factor of 2/3:
x = 10.5 × 2/3
x = 7
In a mathematics class, half of the students scored 86 on an achievement test. With the exception of a few students who scored 46, the remaining students scored 77. Which of the following statements is true about the distribution of scores
Answer:
B. The mean is less than the median.
Step-by-step explanation:
Say there was 20 kids: 10 kids(half) scored 86's, 3 kids(a few) scored 45's, and 7 kids(the remaining) scored 77's.
The median would be- 81.5 (chronological order, find the middle number)
The mean would be- 76.85 (sum of all the scores divided by the number of scores)
The mode would be- 86 (most frequent number)
The mean(76.85) is less than(<) the median(81.5)
Explain why this quadrilateral is not a parallelogram.
Answer:
because only two of it's sides are parallel
Answer:
In this quadrilateral, opposite sides are not parallel. So, this quadrilateral is not a parallelogram.
Step-by-step explanation:
In Parallelogram, opposite sides are parallel
Choose all options that apply. Which of the following are antiviral medications commonly used to treat the flu? | a) Azelastine Oxymetazoline c) Zanamivir O d) Oseltamivir
I NEED HELP ASAP!!! convert 0.252525 to a fraction and convert 2.454545 to a fraction
Answer:
1. What is 0.252525 as a fraction?
0.252525 as a fraction equals 252525/1000000
2. 2.454545 as a fraction equals 2454545/1000000
Step-by-step explanation:
To write 0.252525 as a fraction you have to write 0.252525 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.252525 = 0.252525/1 = 2.52525/10 = 25.2525/100 = 252.525/1000 = 2525.25/10000 = 25252.5/100000 = 252525/1000000
And finally we have:
0.252525 as a fraction equals 252525/1000000
2. What is 2.454545 as a fraction?
To write 2.454545 as a fraction you have to write 2.454545 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.454545 = 2.454545/1 = 24.54545/10 = 245.4545/100 = 2454.545/1000 = 24545.45/10000 = 245454.5/100000 = 2454545/1000000
And finally we have:
2.454545 as a fraction equals 2454545/1000000
Thanks
Given the following absolute value function find the range.
f(x) = |x + 5| -8
Range: [5,00)
Range: [-5,00)
Range: [-8,00)
Range: [8,00)
Answer:
Range is (-8,00)
Step-by-step explanation:
What is the measure of angle BCD? 146° O 250 O 40° D o 140° 1490 c O 1550
Answer: I think the correct answer is 40 but I am not sure.
Step-by-step explanation:
Answer: 40
The angle measure of BCD is m∠BCD = 140°.
What is an interior angle?Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."
Given that a quadrilateral ABCD.
To find the angle measure of BCD,
first, we find the other interior angle with supplementary angles.
m∠DAB = 180 - 25 = 155°
m∠ABC = 180 - 146 = 34°
m∠ADC = 180 - 149 = 31°
And the total sum of the interior angles of a quadrilateral is 360°
So, m∠BCD = 360 - (34 + 31 + 155)
m∠BCD = 140°
Therefore, m∠BCD = 140°.
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at a basketball game, a vendor sold a combined total of 218 sodas and hotdogs. The number of hotdogs sold was 50 less than the number of soda sold. Find the number of soda sold and the number of hotdogs sold
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Answer:
134 soda84 hot dogsStep-by-step explanation:
Let s represent the number of sodas sold. Then the number of hot dogs sold is (s-50) and the total is ...
s +(s -50) = 218
2s = 268 . . . . . . . . . add 50
s = 134 . . . . . . . divide by 2
134 sodas were sold; 84 hot dogs were sold.
Can anyone please help me with this ?
Answer:
6.7
Step-by-step explanation:
The formula for volume is V=lwh.
320=(6)(8)x
Solve.
320=48x
Divide both sides by 48.
6.6666666=x
Round to the nearest tenth.
x=6.7
I hope this helps!
pls ❤ and give brainliest pls
Answer:
6.7 =x
Step-by-step explanation:
The volume is given by
V = l*w*h
320 = 8*6*x
320 =48x
Divide each side by 48
320/48 = 48x/48
6.6666666 = x
Rounding to the nearest tenth
6.7 =x
Mark is investing $8,000 in an account paying 5.5% interest compounded daily. What will Mark's account balance be in 6 years?
Picture is the answer
what is twice the amount of 86
Answer:
172
Step-by-step explanation:
[tex]86[/tex] × 2 = 172
In the past, Alpha Corporation has not performed incoming quality control inspections but has taken the word of its vendors. However, Alpha has been having some unsatisfactory experience recently with the quality of purchased items and wants to set up sampling plans for the receiving department to use. For a particular component, X, Alpha has a lot tolerance percentage defective of 52 percent. Zenon Corporation, from which Alpha purchases this component, has an acceptable quality level in its production facility of 20 percent for component X. Alpha has a consumer's risk of 10 percent and Zenon has a producer's risk of 5 percent. a. When a shipment of Product X is received from Zenon Corporation, what sample size should the receiving department test
Answer:
The answer is "28"
Step-by-step explanation:
[tex](LTPD) = 52\%\\\\(AQL) = 20\%\\\\\to \frac{LTPD}{AQL} = \frac{52\%}{20\%}= 2.6\\\\[/tex]
The value of [tex]\frac{LTPD}{AQL} = 2.6[/tex] that value of [tex]\frac{LTPD}{AQL} = 2.618[/tex]
Acceptance number, [tex]c = 9[/tex]
Value of [tex]n\times AQL = 5.426[/tex]
Sample size [tex]n = n\times \frac{AQL}{AQL} =\frac{5.426}{20\%} = 27.13=28[/tex]
A circular pizza has a diameter of 12 inches and is cut into 10 congruent slices. What is the area of each slice, to the nearest tenth?
Group of answer choices
14.4 straight pi inches squared
3.6 straight pi inches squared
2.4 straight pi inches squared
12.4 straight pi inches squared
[tex]\\ \sf\longmapsto Area=2\pi r[/tex]
[tex]\\ \sf\longmapsto Area=2(3.14)\times 6[/tex]
[tex]\\ \sf\longmapsto Area=2(18.84)[/tex]
[tex]\\ \sf\longmapsto Area=37.68in^2[/tex]
Now area of each slice
[tex]\\ \sf\longmapsto \dfrac{37.68}{12}[/tex]
[tex]\\ \sf\longmapsto 3.6in^2[/tex]
The area of each slice of the pizza will be 3.6π square inches. The correct option is B.
What is the area of the sector?The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the out trace.
It is given that a circular pizza has a diameter of 12 inches and is cut into 10 congruent slices.
Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be
Area = (θ/2π) πr²
angle = 2π/10
The area will be calculated as below:-
Area = (2π/10)/2π) πr²
Area = ( π x 6 x 6 ) / 10
Area = 3.6π square inches
Therefore, the area of each slice of the pizza will be 3.6π square inches. The correct option is B.
More about the area of the sector link is given below.
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Which answer is it I’m confused ... ???
Answer:
the answer is D
Step-by-step explanation:
v=πr²h
divide both side by πh
r²=v/πh
square both sides
r=√v/πh
A researcher conducts an ANOVA analysis and reports no differences in average certification exam test scores for nurses identified as Baby Boomers, Millennials or Generation X. You would expect to see:
Answer:
"Type II error" is the right answer.
Step-by-step explanation:
A type II mistake would be that a fake null hypothesis also isn't rejected. It's also called false negatives.It happens whenever an investigator does not eliminate a truly wrong null hypothesis. Here quite a scientist determines that whenever it genuinely exists, that there's no substantial consequence.Thus the above is the right answer.
A farmer wants to build a rectangular fence to enclose a 144\ \textup{ft}^2 yard. If the yard is square, how many feet of fence will he need?
Answer:
12* 12 = 144
thus 4*12 = 48 feet of fence
Step-by-step explanation:
