The coordinates are:
From left to right , top to bottom:
1st column: (-4,-2), (-4,2),
2nd coluimn: (-3,4.5)
3rd column: (-2,1), (-2,-2)
4th column: (-2,2) , (-1,0) (-1.5,-4.5),
5th column: (0,3.5), (0,-3.5)
6yh column: (1,-3)
7th column: (1.5,1)
8th column: (2,3) (2,-2)
9th column: (3.5,0)
10th column: (4,4.5), (4,2) (4,-4)
List the possible outcomes for the members in the table. You can do this by keeping the first number constant and cycling through the remaining five numbers for the second (for example, 0-1, 0-2, 0-3 and so on). Then change the first number and repeat the process with the remaining five numbers. A point to keep in mind is that when the first lot is picked, the second will have one less number (the one you have picked) to choose from. For this reason, sequences such as 0-0, 1-1, and 2-2 cannot exist.
Answer:
here yah go :b
Step-by-step explanation:
Austin opened a savings account and deposited $600.00 as principal. The account earns 5% interest, compounded annually. What is the balance after 8 years?
Answer:
$886.47
Step-by-step explanation:
-J=34
Help please please
Answer:
-34
Step-by-step explanation:
The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
Find the value of a in the equation below
2sin(1÷4a+20)=√3
Step-by-step explanation:
\(sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60\)
1÷4a+20=60
1÷4a=4
a=1/160
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.
a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?
Answer:
A: the probability that a 1 is received is 0.56.
B: the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
Step-by-step explanation:
To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.
a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.
Let's denote:
P(1 sent) = 0.6 (probability a 1 is sent)
P(0→1) = 0.2 (probability a 0 is flipped to 1)
P(1 received) = ?
P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)
= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)
= 0.6 * (1 - 0.2) + 0.4 * 0.2
= 0.6 * 0.8 + 0.4 * 0.2
= 0.48 + 0.08
= 0.56
Therefore, the probability that a 1 is received is 0.56.
b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.
Let's denote:
P(0 sent) = ?
P(1 received) = 0.56
We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).
Using Bayes' theorem:
P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)
P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08
P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56
Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):
P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56
Simplifying:
P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56
= 0.08 * (1 - P(0 sent)) * (1 / 0.56)
= 0.08 * (1 - P(0 sent)) * (25/14)
= (2/25) * (1 - P(0 sent))
Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?
One interior angle of a triangle is 43°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. 2x + 43 = 180 2x − 43 = 90 x + 43 = 180 x − 43 = 90
Answer:
x − 43 = 90
Step-by-step explanation:
2x + 43 = 180
2x − 43 = 90
x + 43 = 180
x − 43 = 90
1. DRAGONS The Luck Dragons that live
in the Enchanted Forest weigh 4x
pounds when they are x years old.
Write a function table that can be used
to find the weights of 6-year old, 8-year
old, and 10-year old Luck Dragons.
Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x2+y2=16 and the lines x=0 and y=x, by changing to polar coordinates.
Answer:
\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)
Step-by-step explanation:
\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)
\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)
Which of the following lines is perpendicular to y = -2x +3?
A. y= 2x +3
B.
1
y=-x+3
2
C. y=-2x +2
D.
1
= --X-2
2
y=1/2x-2 is perpendicular to y=2x+3
The range of the following relation R{(3,-2), (1, 2), (-1, -4), (-1, 2)} is O{-1.1,3) -1,-1,1.3 01-4, 2, 2, 2] {-4, -2, 2
Answer:
The range is -2,2,-4
Step-by-step explanation:
hope this helps
Find the measure of the smaller angle formed by hands of a clock at the following time. 1.15
Answer:
Step-by-step explanation:Angle from hour hand to minute hand at 1:15
At 1:15, the hour hand has moved 75 out of 720 possible times from the top of the clock. 75 times 0.5 degrees is 37.5 degrees.
At 1:15, the minute hand has moved 15 out of 60 possible times from the top of the clock. 15 times 6 degrees is 90 degrees.
90 - 37.5 = 52.5 degrees
Angle from minute hand to hour hand at 1:15
The angle from the minute hand to the hour hand is simply 360 degrees minus the degrees from the hour hand to minute hand that we calculated above.
360 - 52.5 = 307.5 degrees.
Now you know how to calculate the degrees of the two angles created by the hour hand and minute hand on a 12-hour clock at 1:15. Again, the two angles created by the hour hand and minute hand at one-fifteen are 52.5 degrees and 307.5 degrees.
Clock Angle Calculator
The angle made by the hour hand and minute hand on a clock at 1:15 is not all we have calculated. We have calculated the clock angles for every minute of the 12-hour clock. Get the degrees for another time here!
Angle between hour and minute hand at 1:16
Here is the next time on our clock that we have calculated the angles for. Check it out!
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Question 9 (10 points)
Find the average rate of change of the function below from x1 to X2.
f(x) = 5x +7
Step-by-step explanation:
access to one as to which the two was to wisdom 100 as wisdom teeth is my dream wall
find the slope of the line through (0,20) and (4,36)
Answer:
4
Step-by-step explanation:
Slope formula: y2 - y1/ x2 - x1 (this means the second y minus the first 1 divided by the second x minus the first x)
36 - 20 = 16
4 - 0 = 4
16/4 = 4
The slope of the line is 4
if negative y = 0, what would positive y be?
Answer:
positive y would be also 0
Step-by-step explanation:
y = 0
Is the given value a solution of the inequality?
2 + s ≥ 10; s = 7
14 – r < 9; r = 6
j – 11 ≥ 20; j = 32
t + 6 > 40; t = 35
show work pls
Answer:
35
Step-by-step explanation:
Graham wrote the system of equations.
6x−8y=−16y=34x+8
What is true about the system of equations that Graham wrote?
A
It has no solution.
B
It has 1 solution.
C
It has 2 solutions.
D
It has infinitely many solutions.
Answer:
B
Step-by-step explanation:
6x -8y = - 16y
6x = -8y
8y = 17x + 4
-8y = -17x - 4
6x = -17x - 4
23x = -4
x = -4/23
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 32 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 61 and 164 miles in a day. Round your answer to 4 decimal places.
Using the same scenario as above, but now you do not know the population variance. You collect a random sample of n = 21 cereal boxes and find the sample mean is 12.8 and the sample standard deviation to be 0.5. Test the null hypothesis H0: µ = 13 against the alternative hypothesis HA: µ < 13 at level of significance α = 0.01.
Required:
a. Find the test statistic.
b. Using the rejection region, do you reject or not reject the null hypothesis?
c. Find the p-value.
d. Using the p-value, do you reject or not reject the null hypothesis?
e. In context of your problem, what is your conclusion about the ounces contained in cereal boxes?
Answer:
-1.833 ; we do not reject the Null.
Pvalue = 0.0409 ; We do not reject the Null
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
Step-by-step explanation:
H0 : μ = 13
HA : μ < 13
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(12.8 - 13) ÷ 0.5/sqrt(21)
-0.2 / 0.1091089
= - 1.833
The critical value at α = 0.01 ; df = 21 - 1 = 20 = 2.528
-1.833 > - 2. 528 (left tailed test) ; Hence we do not reject the Null.
Test statistic :
Pvalue from Test statistic at DF = 20 ; α = 0.01
Pvalue = 0.0409
Pvalue > α
0.0409 > 0.01 ; Hence, we do not reject H0.
There is no significant evidence to conclude that the number of ounces contained in the cereal boxes is less than 13
what is 240+150+50+175+30+50 equal
Answer:
695
Step-by-step explanation:
40+150+50+175+30+50 = 695
Which expressions are equivalent to 18 + 24?
Select all that apply.
A
3(6 + 8)
B
3(6 + 21)
C
6(12 + 2)
D
6(3+4)
2(16 + 22)
OF
2(9 + 12)
Answer: A and D are correct because they both equal 42.
Step-by-step explanation: Both A and D when distributed equal 18 + 24.
B is incorrect because that equals 18 + 63
C is incorrect because that equals 72 + 12
The last one is incorrect because when simplified it is 76 of 30 and 76 of 30 equals 22.8, not 42.
Answer:
A only
Step-by-step explanation:
Not sure if your missing letter options. If D is asking all 3 to be right, then no, D is not correct. If there are 2 letters missing then the last equation also works.
I reread the question and option D seems like it is
6(3+4) * 2(16 + 22)
2(9 + 12)
Which equals
(42 * 76) / 42 = 72
So not D
Please mark Brainliest for complete answer with work. :)
an athlete eats 45 g of protein per day while training. how much protein will she eat during 23 days of training?
SOLUTION
From the question, the athlete eats 45 g of protein in a day. This means that in 23 days the athlete will eat
\(\begin{gathered} 23\times45\text{ g of protein } \\ =23\times45 \\ =1,035g \end{gathered}\)Hence the answer is 1 035 g of protein, or 1.035 kg of protein.
Note that: To change grams to kilograms, we divide by 100.
The Long Term Care Plus Company has two service departments — actuarial and premium rating, and two operations departments — marketing and sales. The distribution of each service department's efforts to the other departments is shown below:
FROM TO
Actuarial Rating Marketing Sales
Actuarial 0 % 40 % 20 % 40 %
Rating 25 % 0 % 37.5 % 37.5 %
The direct operating costs of the departments (including both variable and fixed costs) were as follows:
Actuarial $ 35,000
Premium Rating $ 20,000
Marketing $ 35,000
Sales $ 45,000
The total cost accumulated in the sales department using the direct method is (calculate all ratios and percentages to 2 decimal places, for example 33.33%, and round all dollar amounts to the nearest whole dollar):
$65,667.
$78,333.
$56,667.
$91,667.
$74,333.
Based on the overheads, the costs of various departments and the reallocation rates, the total cost to sales department is $78,333.
What is the total cost accumulated to the Sales department?Using the direct method, two thirds of the Actuarial department cost will go to the Sales department because the Sales department is to take two times the cost of the Actuarial department that the Marketing department takes.
The cost of Premium Rating will be shared equally by the service and marketing departments.
The total cost to Sales is therefore:
= Cost of sales department + (66.7% x Actuarial) + (50% x Premium service)
= 45,000 + (66.7% x 35,000) + (50% x 20,000)
= $78,333.33
In conclusion, option B is correct.
Find out more on departmental cost at https://brainly.com/question/1156860.
what is the slope for (1,3) and (1,-2)
Answer:
-6
Step-by-step explanation:
-2-3/1-1
Find x and y in terms of a and b.
Sax + by = 0
x + y = 2
(x, y) =
(a + b)
2. The table includes results from polygraph experiments. In each case, it was known if the
subject lied or did not lie, so the table indicates when the polygraph test was correct. Find the
test statistic needed to test the claim that whether a subject lies or does not lie is independent of
the polygraph test indication.
Polygraph test indicated
that the subject lied.
Polygraph test indicated
that the subject did not lie.
025.571
Did the Subject Actually Lie?
No (did not lie) Yes (lied)
15
32
42
9
(1 poir
We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
How to explain the hypothesisThe test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.
In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:
The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.
Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.
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how do i solve this problem ?
a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?
Answer:
Step-by-step explanation:
Find u+v-4u.
u=(5,-2) and v= (-5,7)
By placing the given value in equation , we get u + v - 4u = (-20, 13)
How to evaluate vector?A physical quantity that has both directions and magnitude is referred to as a vector quantity.
A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.
To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:
4u = 4(5,-2) = (20,-8)
Now, we can add u and v, and subtract 4u from the result:
u + v - 4u = (5,-2) + (-5,7) - (20,-8)
= (5 - 5 - 20, -2 + 7 + 8)
= (-20, 13)
Therefore, u + v - 4u = (-20, 13).
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A 7-foot piece of cotton cloth costs $7.56. What is the price per inch?
Answer:
$.09 per inch
Step-by-step explanation:
1 foot = 12 inches
Multiply each side by 7
7 ft = 12*7 = 84 inches
Take the cost and divide by the number of inches
$7.56 / 84 inches
$.09 per inch
Answer: 0.09 per inch because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56
Step-by-step explanation: