Answer:
187
Step-by-step explanation:
1870/210=187
Also / means divide
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.
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%.
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.
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.
Can someone help me with these two one step equations? I will give brilliant
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 :) !!
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).
Answer:
hi peps
Step-by-step explanation:
please help asap !!!!!!
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.
What is a the equation of the line passing through the point (2,-4) that is parallel to the line y=3x+2
Answer:
Step-by-step explanation:
y+4 = 3(x-2)
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
7w
Step-by-step explanation:
1w + 1w +5w = 7w, add all of the w's up
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
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.
g(n) = 4n
f(n) = 4n + 2
Find g(f(n))
Answer:
16n + 8
Step-by-step explanation:
g(f(n)) = g(4n+2)
= 4(4n +2)
= 16n + 8
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
Answer:
a
Step-by-step explanation:
tfewfgeeffeefefefwefwewwefewewfefwfew
Answer:
I understand your pain
Step-by-step explanation: sadge
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?
Answer:
4:9
Step-by-step explanation:
There's 4 of men and 9 to children and 5 of women
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?
Answer:
900 cans and bottles.
Hope that helps!
Step-by-step explanation:
360 / 4 = 90
90 x 100 = 900
Hope that helps!
6312 divided by 8 how do u break it down
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.
Helppp please on this question
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
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?
Answer:
50/87
Step-by-step explanation:
What is a reasonable metric unit for the capacity of a large lake
Answer:
Liters and milliliters are metric units for measuring capacity
Step-by-step explanation:
Answer:
liters
Step-by-step explanation:
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
Answer:
75.4
Step-by-step explanation:
Diameter * pi = circumference.
At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
The opposite sides of a parallelogram
are
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
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
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]
Helppp me on this question please
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
les What is the area of the triangle?
Answer:
48 cm² is the correct answer.
Can anyone please help with this? I will love you forever
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
What is the solution of x + 9 < 5?
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
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.
My name is Ankush kumar I am A boy
What is the answer to -4(m+6) = -8
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
I need help Estimate 81/4 but into a number
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)
Pleaseeeeeeee help me on thissssss i need helpppppp