Answer:
Sin theta = -1/2
Step-by-step explanation:
pi < =theta <= (3pi)/2.
The above expression shows we are dealing with angle on the 3rd quadrant.
I.e greater than 180 but less than 270.
So sin tita = (√3)/2
But sin and cos are all negative in the third quadrant.
So tita = sin^-1(√3)/2
tita = 60°
Cos tita = cos 60
Cos tita = cos 60
Cos60 = 0.5
Cos 60 = 1/2
If
sin theta = -(sqrt(3))/2
Sin theta = -1/2
A hiker is told to carry 2 cups of water for every 10 minutes spent walking. The hiker plans to hike for 60 minutes. How many cups of water should the hiker carry?
Answer:
12
Step-by-step explanation:
2 x 6 = 12
The number of cups of water the hiker should carry is 12 cups.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a hiker is told to carry 2 cups of water for every 10 minutes spent walking.
Now, number of cups of water carry for 1 minute
= 2/10
= 0.2 cups
The number of cups of water carry for 60 minutes
= 0.2×60
= 12 cups
Therefore, the number of cups of water the hiker should carry is 12 cups.
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What is the length of the diagonal in a rectangular prism that measures 8mm by 14mm by 6m? Round your answer to the nearest tenth
Answer:
17.2
Step-by-step explanation:
It's kinda like the pythagorean theorem where you square the sides, add them, and then square root the answer. I hope this is correct
A crime is committed by one of two suspects, A and B. Initially, there is equal evidence against both of the suspects. After further investigation, it is determined that the guilty party has a blood type found in only 10% of the population at large. Suspect A does have this blood type; the blood type of Suspect B is unknown.
Define the following 3 events A, M and C.
A: "A is guilty" (Thus ° denotes "B is guilty')
M: "A’s blood type matches that of the guilty party"
C: "B's blood type matches that of the guilty party"
A. The police reported that suspect A is not a relative of suspect B. Is it reasonable to set P( MA)=P(C|A)=10%? Why?
B. Assume that P(MAC)=P(C|A)=10%. Given the information from the further investigation of the crime scene, what is the probability that A is the guilty party?
C. Assume that P( MA)=P(C/A)=10%. Given the information from the further investigation of the crime scene, what is the probability that B’s blood type matches that of the guilty party?
Answer:
a) MA conditional with C can be interpreted as A which is known and C which is unknown match
b) 10/11
c) 2/11
Step-by-step explanation:
A={A is the guilty party}
[tex]M_A[/tex] = {A blood type matches that of the guilty party}
C = {B is the guilty party}
[tex]M_C[/tex] = {B blood type matches that of the guilty party}
a) The chance is 10% because MA conditional with C can be interpreted as A which is known and C which is unknown match
b) the probability that A is the guilty party is given by [tex]P(A/M_A)[/tex]. Using bayes theorem:
[tex]P(A/M_A)=\frac{P(M_A/A)P(A)}{P(M_A/A)P(A)+P(M_C/C)P(C)} =\frac{1*1/2}{(1*1/2)+(1/10*1/2)} =\frac{10}{11}[/tex]
c) the probability that B’s blood type matches that of the guilty party is given as [tex]P(M_C/M_A)[/tex]. Using LOTS Therefore:
[tex]P(M_C/M_A)=P(M_C/M_A,A)P(A/M_A)+P(M_C/M_A,A)P(C/M_A)=\frac{1}{10}*\frac{10}{11} +1*\frac{1}{11} =\frac{2}{11}[/tex]
If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the area of that triangle?
Answer:
6 in ^2
Step-by-step explanation:
divide side lengths by two and add those numbers
Write equations for the horizontal and vertical lines passing through the point , (4,5).
Answer:
Answer is below
Step-by-step explanation:
The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.
I graphed the lines on the graph below to show you that they intersect at the point (4,5).
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Seemas little sister is now 5 years old.if Her age is 2 years more than 1/4 of seemas age, how old is seems
Answer:
12
Step-by-step explanation:
Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.
If 15+3x=3(2−2x), then x= [blank]
Answer:
x = -1
Step-by-step explanation:
15+3x=3(2−2x)
Distribute
15+3x = 6 -6x
Add 6x to each side
15+3x+6x = 6-6x+6x
15+9x = 6
Subtract 15 from each side
15-15+9x = 6-15
9x = -9
Divide by 9
9x/9 = -9/9
x = -1
PLEASE HELP ITS FOR MATH
The answer is b. none. This is because the lines are parallel and therefore do not intersect at a point, meaning that there are no solutions.
Complete parts ​(a) through ​(c) below. ​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the alphaequals0.05 level of significance with 15 degrees of freedom. ​(b) Determine the critical​ value(s) for a​ left-tailed test of a population mean at the alphaequals0.10 level of significance based on a sample size of nequals10. ​(c) Determine the critical​ value(s) for a​ two-tailed test of a population mean at the alphaequals0.05 level of significance based on a sample size of nequals13.
Answer:
a) [tex] t_{\alpha}= 1.753[/tex]
b) [tex] t_{\alpha}= -1.383[/tex]
c) [tex] t_{\alpha/2}= \pm 2.179[/tex]
Step-by-step explanation:
Part a
For this case we know that the degrees of freedom are:
[tex] df = 15[/tex]
And we want a right tailed test so then we need to find in the t distribution with degrees of freedom =15 a critical value who accumulate 0.05 of the area in the right and we got:
[tex] t_{\alpha}= 1.753[/tex]
Part b
For this case the significance is [tex]\alpha=0.1[/tex] the degrees of freedom are:
[tex] df = n-1= 10-1=9[/tex]
And since is a left tailed test the critical value for this case would be:
[tex] t_{\alpha}= -1.383[/tex]
Part c
For this case the significance is [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] the degrees of freedom are:
[tex] df = n-1= 13-1=12[/tex]
And since is a two tailed test the critical values for this case would be:
[tex] t_{\alpha/2}= \pm 2.179[/tex]
Mary walks the 3 day breast cancer walk. They break the 62 miles evenly for each day. How
4
many miles does she walk in one day?
Answer:
she would walk at least those 62 miles
Step-by-step explanation:
We are told that in the 3 days of the walk to fight cancer, Mary breaks the 62 mile barrier every day, that is to say that every day she travels 62 miles or more.
You ask us how much she walks in a single day, considering what the statement that goes at least 62 miles each day says, she would walk at least those 62 miles on a normal day.
a is 100% more than b.
Which of these shows the ratio a:b?
2:1
100:1 1:100
1:2
A
B
C
D
Answer:
2-1=1 so A. is 100% more than B because A is 2 times bigger than B.
A. is the answer 2:1
Hope this helps
Step-by-step explanation:
The option that shows the ration A: B is Option C - 1:2. See the rationale below.
How to compute the aboveIf A is 100% more than B, it means that A is equal to B plus 100% of B. In other words, A is twice the value of B.
Therefore, the ratio of A to B is 1:2, indicating that A is twice as much as B.
Recall that a ratio is a quantitative relationship between two or more quantities, indicating how many times one quantity is contained or repeated in relation to another quantity.
It is expressed as a fraction or with a colon (:), representing the relative comparison of the quantities.
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Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that [tex]P = 60000, r = 0.01125, t = 6[/tex]
So
[tex]P(6) = 60000e^{0.01125*6} = 64190[/tex]
The balance of the account is $64,190.
What is the slope and the y-intercept of the line on the graph below?
Answer:
I love you sweetheart I want to look and love you
Answer:
slope- 1/4
y intercept- 1
In a restaurant there are 8 starter 15 main dishes 9 dessert Jane is going to choose one of the following how many different ways are there for her to choose
Answer:
1335
Step-by-step explanation:
Starter + Main = 8 x 15 = 120
Main + Dessert = 15 x 9 = 135
Starter + Main + Dessert = 8 x 15 x 9 = 1080
120 + 135 + 1080 = 1335 possibilities
Answer:
Step-by-step explanation:
STARTER + MAIN:
8 x 15 = 120
MAIN + DESSERT:
15 x 9 = 135
STARTER + MAIN + DESSERT:
8 x 15 x 9 = 1080
120 + 135 + 1080 = 1335 possibilites
If G is the midpoint of
FH,
find FG.
Answer:
15
Step-by-step explanation:
15 is the answer because i looked it up
The required value of segment FG is 67 if G is the midpoint of FH.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment FH, where the length of line segment FHrefers to the distance between its endpoints, F and H.
Given that G is the midpoint of FH
FG = 14x + 25 and GH= 73 - 2x,
To determine the value of FG
F______________G______________H
⇒ FH= FG+ GH
Since G is the midpoint of FH, SoFG = GH
⇒ FH = FG+ GH
⇒ FH = 2FG
⇒ FG = GH
Substitute the values of FG = 14x + 25 and GH = 73 - 2x,
⇒ 14x + 25 = 73 - 2x
⇒ 14x + 2x = 73 - 25
⇒ 16x = 48
⇒ x = 48/16
⇒ x = 3
Substitute the value of x = 3 in FG,
⇒ FG = 14x + 25
⇒ FG = 14(3) +25
⇒ FG = 67
Hence, the required value of segment FG is 67 if G is the midpoint of FH.
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The question seems to be incomplete the correct question would be
If G is the midpoint of FH,
find FG.
Where FG = 14x + 25 and GH= 73 - 2x,
is (1,3) a solution to this system of equations?
4x + 5y = 19
x + 5y = 16
Answer:
Yes
Step-by-step explanation:
I graphed both of the equations on the graph below to show you that they intersect at the point (1,3), making it the solution to the system.
If this answer is correct, please make me Brainliest!
Answer: Yes
Step-by-step explanation:
Which choice is equivalent to the expression below?
28.24
O A. 28 + 22/10 + 24/100
O B. 28+ 2/10 + 4/10
O C. 28. 22/10. 24/100
O D. 28. 224/10
Answer:
C
Step-by-step explanation:
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Answer:120 1/6 feet sq.
Step-by-step explanation: Area of a rect. = length×breadth(width)
Area=12 1/2× 10 1/3
Area= 120 1/6
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A recipe calls for 33 teaspoons orange juice. A can of orange juice is 17 fluid ounces. How many teaspoons of juice are in the can?
Answer:
102
Step-by-step explanation:
1 fluid ounce = 6 teaspoons
Kelly contracts with Raphael for Raphael to bring a pony to her daughter's birthday party in exchange for $100. Kelly later learns her daughter is frightened of ponies. She contacts Raphael and Raphael agrees to bring a donkey to the party for $50 instead. What is true of the original agreement involving the pony and the $100?
Answer:
It was discharged by substituted contract
Step-by-step explanation:
In this situation, instead of simply canceling their original contract and terminating their interaction, Raphael and Kelly reached another agreement and stablished a substituted contract in place of the original one.
Therefore, the original agreement involving the pony and the $100 was discharged by substituted contract .
The jar shown below is 2/5 filled with water. If 750 ml more water is poured into the jar, it becomes full. What is the capacity of the jar?
2/5 is the fraction 2/5
Plz answer fast with easy explanation
Answer:
1250 ml
Step-by-step explanation:
Answer:
I’m glad you asked!
Step-by-step explanation:
2/5 + 750 ml equals the full jar amount or capacity.750/ 3 equals 250.That makes 150 the denominator.Now we just need to multiply 250 by 5.
[tex]250 x 5 = 1250.[/tex]
Let a, b, and c be real numbers where ab*C0. Which of the following functions could represent the graph below?
AN
Answer:
A on ed
Step-by-step explanation:
Pip and Sara win some money and share it in the ratio 7:5. Pip gets £30 more than Sara. How much did Sara get?
Answer:
75 sweets.
Step-by-step explanation:
Pip gets 7/(7+5) = 7/12 .
Let Sara get x sweets so Pip gets 7/5 x sweets.
7/5 x = x + 30
2/5 x = 30
x = 5/2 * 30 = 75.
Sara gets 75 sweets.
Answer:
Sara has £75
Step-by-step explanation:
Pip : Sara
7 : 5
If Pip gets £30 more than Sara, then
5x+30=7x
Where x is £?
Subtract 5x from both sides
30=2x
Divide both sides by 2
x=£15
£15
Pip : Sara
105: 75
Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)
Answer:the answer is 9,6
Step-by-step explanation:
I JUST TOOK THE QUIZ
Answer:
C (9,6) did it on edge
Rearrange the equation so u is the independent variable.
-12u + 13 = 8w - 3
w = __
Answer: w = -3u/2 + 2
Step-by-step explanation:
-12u + 13 = 8w - 3
-12u + 13 + 3 = 8w -3 + 3
-12u + 16 = 8w
w = -3u/2 + 2
How much wood will Moritz need to create his ramp?
Moritz is creating a wooden ramp with the given
dimensions. The ramp will not need a bottom face.
ft2
5 ft
3 ft
4 ft
6 ft
5 ft
6 ft
3 ft
4 ft
Answer:
60 ft
Step-by-step explanation:
got it right
Answer:
60
Step-by-step explanation:
A vertical pole stands in the sea. A mark, X, on the pole is 1.6m above sea level at low tide, the sea level is 3.9m higher than at
low tide.
(a) Find the distance of x below sea level at high tide.
(b) What is the position of x from sea level at the time when the sea level is exacly half way between high tide and low tide?
Answer:
ummm I would say a angle of 7.65
Step-by-step explanation:
Answer:
7.65
Step-by-step explanation:
There are seven black socks, eight blue socks, 10 white socks, and five patterned socks in the drawer. What is the probability of pulling a blue sock, replacing it, and then drawing a patterned sock out of the drawer?
Answer:
2/45
Step-by-step explanation:
Total socks:
7 + 8 + 10 + 5 = 30
P(blue) × P(patterned)
8/30 × 5/30
4/15 × 1/6
2/45
Answer:
2/45
Step-by-step explanation:
The total number of socks is 7+8+10 +5
30
P(blue) = number of blue socks / total
= 8/30 = 4/15
Then we replace it so we have the same number of socks
P(patterned) = number of patterned socks / total
= 5/30 = 1/6
P(blue, replace/patterned) = 4/15*1/6
=2/45
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ANSWER NOW
Answer:
a
Step-by-step explanation:
Anyone can solve this
In a new experimental teaching method, when students have questions in class, they send them to the instructor via a laptop computer. From time to time, the instructor pauses to read the questions and to provide the answers, without revealing the identities of the students who are asking the questions. This new method is supposed to eliminate the reluctance of students to ask questions for fear of revealing their lack of understanding in public. In a study of this new method, 69 male students and 73 female students participated. Treat these as if they were simple random samples. Of the male students, 38 said that they liked the new method better than the traditional one in which students raise their hands to ask questions. Of the female students, only 20 said they liked the new method better
(a) Construct a 95% confidence interval for the difference between the proportions of male and female students who like the new method better. Let p1, denote the proportion of male students who like the new method better and let p2 denote the proportion of female students who like the new method better.
(b) A 95% confidence interval for the difference between the proportions of male and female students who like the new method better is __________.
Answer:
a) (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Step-by-step explanation:
Given that:
For male students: number of male students ([tex]n_m[/tex]) = 69, number who liked the new method (x) = 38
For female students: number of female students ([tex]n_f[/tex]) = 73, number who liked the new method (x) = 20
a) The probability that a male student like the new method ([tex]P_1[/tex]) is given as:
[tex]P_1=\frac{38}{69} =0.55[/tex]
The probability that a female student like the new method ([tex]P_2[/tex]) is given as:
[tex]P_2=\frac{20}{73} =0.27[/tex]
c = 95%, α = 1 -c = 0.05
[tex]z_{\frac{\alpha }{2} }=1.96[/tex]
the difference between the proportions of male and female students who like the new method better = [tex]P_1-P_2[/tex] ± [tex]z_{\frac{\alpha }{2} }\sqrt{\frac{P_1(1-P_1)}{n_m} +\frac{P_2(1-P_2)}{n_f}}[/tex] = [tex]0.55-0.27[/tex] ± [tex]1.96\sqrt{\frac{0.55(1-0.55)}{69} +\frac{0.27(1-0.27)}{73}}[/tex] = (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435