Answers
Answer:
B
Step-by-step explanation:
Related Questions
Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.
Answers
Answer:
24.5%
Step-by-step explanation:
Simple Interest = (principal×rate×time)÷100. *Brackets First*
Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).
Plug in values: rate = (100×37975) ÷ (31000×5).
The result is 24.5%.
Can anyone please help with this? I will love you forever
Answers
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.
a. Let A be the event that all the parts fall into the same category. List the outcomes in A.
b. Let B be the event that there is one part in each category. List the outcomes in B.
c. Let C be the event that at least two parts are conforming. List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Answers
Answer:
a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d. Outcomes of A⋂C = { (C,C,C) }
e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}
i. Events A and C are not mutually exclusive
j. Events B and C are mutually exclusive
Step-by-step explanation:
Given - Three times each day, a quality engineer samples a component
from a recently manufactured batch and tests it. Each part is
classified as conforming (suitable for its intended use),
downgraded (unsuitable for the intended purpose but usable for
another purpose), or scrap (not usable). An experiment consists
of recording the categories of the three parts tested in a particular
day.
To find - a. Let A be the event that all the parts fall into the same
category. List the outcomes in A.
b. Let B be the event that there is one part in each category.
List the outcomes in B.
c. Let C be the event that at least two parts are conforming.
List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂[tex]C^{c}[/tex]
h. List the outcomes in ⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Proof -
Let
Conforming part = C
Downgraded part = D
Scrap part = S
a.)
Given , Let A be the event that all the parts fall into the same category.
Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b.)
Given, Let B be the event that there is one part in each category.
Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c.)
Given, Let C be the event that at least two parts are conforming.
Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d.)
Outcomes of A⋂C = { (C,C,C) }
e.)
Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f.)
Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g.)
Outcomes of [tex]C^{c}[/tex] = { (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h.)
Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }
Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
i.)
As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅
Now,
A ∩ C = { (C,C,C) }
⇒Events A and C are not mutually exclusive.
j.)
As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅
Now,
B ∩ C = ∅
⇒Events B and C are mutually exclusive.
Pls help due in 5 min
What is the total amount of the most common amount and the least common amount of milk drank daily?
Answers
Answer:
50/87
Step-by-step explanation:
The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo.
The cruising speed of the bullet train will be no less than 160 miles per hour. Use s to represent the train's cruising speed (in miles per hour).
Answers
Answer:
hi peps
Step-by-step explanation:
6312 divided by 8 how do u break it down
Answers
Answer:
789
Step-by-step explanation:
Answer:
789
Step-by-step explanation:
8 goes into 63 7 times which is 56. 63 - 56 is 7. Bringing down the 1 makes it 71, 8 goes into 71 8 times, which is 64. 71 - 64 is 7. Lastly bringing down the 2 is 72. 8 goes into 72 9 times. So, you get the numbers 789.
What is the answer to -4(m+6) = -8
Answers
Answer:
m= -4
Step-by-step explanation:
Answer:
-32
Step-by-step explanation:
4(+6)=−8
4+24=−8
4+24=−8
4+24−24=−8−24
Subtract the numbers
4m = -32
In a choir, the ratio of men to women is 4:3
The ratio of women to children is 5:9
What is the ratio of men to children?
Answers
Answer:
4:9
Step-by-step explanation:
There's 4 of men and 9 to children and 5 of women
Can someone help me with these two one step equations? I will give brilliant
Answers
Step to solution= calculate 23.76 - 64.9 then just add the answer which is 88.66 and p
Answer:
1.) p = 88.66
2.) m = 17
Step-by-step explanation:
1.) p - 23.76 = 64.9
p - 23.76 + 23.76 = 64.9 + 23.76
p = 88.66
2.) m + 78 = 95
m + 78 - 78 = 95 - 78
m = 17
Hope this helps and stay safe, happy, and healthy, thank you :) !!
In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 traffic
fatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involved
a drunk driver.
Answers
My name is Ankush kumar I am A boy
What is a reasonable metric unit for the capacity of a large lake
Answers
Answer:
Liters and milliliters are metric units for measuring capacity
Step-by-step explanation:
Answer:
liters
Step-by-step explanation:
Use a double number line to answer Problem 1-5.
Tanner collected 360 cans and bottle while fundraising for his baseball team. This eas 40% of what Reggie collected. How many cans and bottles dif Reggie collect?
Answers
Answer:
900 cans and bottles.
Hope that helps!
Step-by-step explanation:
360 / 4 = 90
90 x 100 = 900
Hope that helps!
Which of the following is a true polynomial identity?
a) a^6+b^6 = (a^2 + b^2)(a^4 + a^2b^2 + b^4)
b) a^6 - b^6 = (a^2+b^2)(a²-ab+b²)(a²+ab + b²)
c) a^6 - b^6 = (a³-b³)(a-ab+b)(a²+ab+b²)
d) a^6 - b^6 = (a²-b²)(a²-ab+b^2)(a^2+ab+b^2)
Answers
What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
I NEED THIS ASAP
Answers
Answer:
[tex]H = 53.30[/tex]
Step-by-step explanation:
Given
[tex]Side\ 1 = 7x + 41[/tex]
[tex]Side\ 2 = 5x[/tex]
Required
Determine side x
The hypotenuse (H) is calculated using:
[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]
[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]
Substitute 9 for x:
[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]
[tex]H^2 = 10816 + 2025[/tex]
[tex]H^2 = 12841[/tex]
So:
[tex]H = \sqrt {2841[/tex]
[tex]H = 53.30[/tex]
The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628.
Number of Eggs Hatched Number of Vials f Expected Frequency of vials
0 1
1 3
2 8
3 10
4 6
5 15
6 14
7 12
8 13
9 9
10 9
Answers
Solution :
Given the number of the edges are = 11
Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]
And the number of the vials total is = 100
Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]
From the table provided below, we can obtained :
1. Null hypothesis and alternate hypothesis :
The following null and alternate hypothesis needs to be tested :
[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]
[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.
2. Rejection region :
It is given --
significance level, α = 0.05
number of degrees of freedom, df = 11 - 1
= 10
Then the rejection region of this test is :
[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]
3. Test statistics
The Chi-Squared statistics is computed as :
[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]
[tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]
= 21.638
4. Decision about null hypothesis
Since we see that : [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.
5. Conclusion :
It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.
The opposite sides of a parallelogram
are
Answers
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
Helppp me on this question please
Answers
Answer:
2.704
Step-by-step explanation:
when dividing by 10 with exponents, you place a decimal point starting from the ones, going left the amount of the exponent. hope that made sense!
Answer:
2.704
Step-by-step explanation:
equation:
2704 ÷ [tex]10^{3}[/tex]
steps:
⇒ 2704 ÷ (10 x 10 x 10)
⇒ 2704 ÷ 1000
⇒ 2.704
please help asap !!!!!!
Answers
Answer:
62 degrees
Step-by-step explanation:
so that means it is
31*2= 62 degrees(arcs)
if my answer helps please mark as brainliest.
Answer:
119
Step-by-step explanation:
Angle ADC is 61 degrees and Angle ABD is 180. 180-61 so the answer will be 119.
John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.
Diameter of 24
76 in
75.4 in
38
37.7
Answers
Answer:
75.4
Step-by-step explanation:
Diameter * pi = circumference.
g(n) = 4n
f(n) = 4n + 2
Find g(f(n))
Answers
Answer:
16n + 8
Step-by-step explanation:
g(f(n)) = g(4n+2)
= 4(4n +2)
= 16n + 8
What is the solution of x + 9 < 5?
Answers
Answer:
x < -4
Step-by-step explanation:
First step is to subtract 9 from each side to isolate the variable, x.
x + 9 - 9 < 5 - 9
Solve
x < -4
hope this helps :)
p.s. i really need brainliest
What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answers
Answer:
Step-by-step explanation:
y+4 = 3(x-2)
tfewfgeeffeefefefwefwewwefewewfefwfew
Answers
Answer:
I understand your pain
Step-by-step explanation: sadge
Pleaseeeeeeee help me on thissssss i need helpppppp
Answers
In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.
Dawn removes two cards, without replacement.
What is the probability that Dawn removed two black cards?
What is the probability that Dawn removed a diamond and a spade?
What is the probability that Dawn removed two face cards?
Answers
Answer:
Byhrnegngrnhumhrnim jmmumtjmmtjmtj
Helppp please on this question
Answers
Answer:
Answer h = 34 i hope it is helpful have a nice day
Answer:
h = 34
Step-by-step explanation:
64 = h + 30
64-30 = h
34 = h
h = 34
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answers
Answer:
7w
Step-by-step explanation:
1w + 1w +5w = 7w, add all of the w's up
les What is the area of the triangle?
Answers
Explanation: to find the area you do 12x8 which equals 96 then divide that number by 2, to get 48
Answer:
48 cm² is the correct answer.
Answer and explain please ILL MARK BRAINLIEST
Answers
Answer:
the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.
Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)
Use A=Pe^rt to solve
Find the accumulated value of an investment of $3000 at 4% compounded annually for 12 years.
A) $4618.36
B) $4320.00
C) $4440.00
D) $4803.10
Answers
Answer:
a
Step-by-step explanation: