Answers
9514 1404 393
Answer:
tan B = 12/5cos B = 5/13sin B = 12/13Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
Related Questions
Looking for the answer to this
Answers
Given system of linear equations are ,
x + y = 2 -3x + y = 2And we need to find the Solution of the linear equation . So let's Firstly number the equations .
[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]
→ Multiplying equⁿ (i) by 3 ,
=> 3 ( x + y ) = 2*3
=> 3x + 3y = 6
→ Adding the two equations ,
=> 3x + 3y -3y + y = 6 + 2
=> 4y = 8
=> y = 8/4
=> y = 2
→ Put y = 2 in (i) ,
=> x + y = 2
=> x + 2 = 2
=> x = 2- 2
=> x = 0
★ Hence the required solution is ( 0 , 2 ) .Acellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
3,4,5,7,10,12,15
Answers
Answer:
17.4
Step-by-step explanation:
3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8
(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714
17.14285714 = 17.4
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.
Answers
Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 27% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let X denote the number among the four who have earthquake insurance.
(a) Find the probability distribution of X. [Hint: Let S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.27)(0.73)(0.27)(0.27) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.)
x 0 1 2 3 4
p(x) ___ __ __ __ __
(c) What is the most likely value for X?
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)
Answers
Answer:
a)
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
c) The most likely value for X is 1.
d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
27% of all homeowners are insured against earthquake damage.
This means that [tex]p = 0.27[/tex]
Four homeowners are to be selected at random.
This means that [tex]n = 4[/tex]
(a) Find the probability distribution of X.
This is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]
[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]
[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]
[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]
[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]
So the probability distribution is
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
(c) What is the most likely value for X?
P(X = 1) has the highest probability, so X = 1 is the most likely value.
(d) What is the probability that at least two of the four selected have earthquake insurance?
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]
0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
A company has 118 employees of whom x are members of a union. How many employees are not union members?
Answers
Which of the following points lies on the graph of the function y = 4^x
(1,0)
(4,1)
(2,16)
(−1, 0.5)
Answers
Answer:
The answer is (2,16)
Step-by-step explanation:
graphing
4w+2=2w+7
Please quick I dont have time!
Answers
Answer:
W = 2.5 or 5/2
Step-by-step explanation:
It Equal to 2.5 or 5 by 2.
At Wilson High School 34 girls participate in soccer, 39 girls participate in basketball, and 13 girls participate in both soccer and basketball. How many girls participate in either soccer or basketball?
Answers
Answer:
Hello ppcarrerasx3 I am going to be your personal instructor on brainly ty for choosing us for 5 star awnsers
The correct answer is will play
It is modified to show future aspect, but is still simple.
Step-by-step explanation:
Answer:
47 in soccer and 52 in basketball
Step-by-step explanation:
Find the median of 19, 29, 36, 15, and 20. Show all the steps that you took to find your answer.
Answers
Answer:
20
Step-by-step explanation:
15 , 19 , 20 , 29 , 36
No we clean one of the right and on of the left
- , 19 , 20 , 29 , -
repeat step 2
- , - , 20 , - , -
so the median is 20
Christine Wong has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both, in case one of them does not show up. From past experience, Christine knows that there is a 55% chance that Dave will not show up and a 45% chance that Mike will not show up. Dave and Mike do not know each other and their decisions can be assumed to be independent. a. What is the probability that both Dave and Mike will show up
Answers
Answer:
a) 26.79%, b) 50.42% and c) 22.79%
Step-by-step explanation:
a. What is the probability that both Dave and Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%
b. What is the probability that at least one of them will show up?
There are two possibilities for this to happen:
Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%
Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%
Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.
c. What is the probability that neither Dave nor Mike will show up?
As decisions of showing up can be assumed to be independent, the probability will be given by
(0.53)(0.43)=0.2279=22.79%
2) The perimeter of a rectangle is 74 cm. The length of the rectangle is 5 cm less
than twice the width. Find the length and width of the rectangle.
Answers
69 is the width 133 is the length
Step-by-step explanation:
im not that sure though lol
In a relation, the input values can also be referred to as the __________?
Answers
Answer: The answer for the blank is domain.
Step-by-step explanation: Domain is the input of a function, and range is the output.
Which of the following statements explains why using a credit card is similar
to taking out a loan?
Answers
Sorry this answer has taken this long to reach you, but the correct answer is the bottom right one: "When using loans and credit cards, the amount of money paid back is usually more than the amount borrowed."
Answer:
D
Step-by-step explanation:
What is the diameter of circle 0 if the radius is 4
Answers
Answer:
8
Step-by-step explanation:
Answer:
The diameter would be 8
Step-by-step explanation:
The diameter of a circle is twice the radius.
4×2=8
I hope this helps
What is the relationship between CE and AD?
I’ll give brainly
Answers
The number of days in a month is measured in the ones.
A. True
B. False
Answers
Answer:
False
Step-by-step explanation:
It is pretty simple
Answer:
That statement is false I think
What is 1 divided by 1/6
Answers
Answer:
6
Step-by-step explanation:
A cereal box says that it now contains 25% more cereal. If it originally had 12 ounces of cereal, how much does it have now?
Answers
Answer:
15
Step-by-step explanation:
Answer:
21 ounces.Step-by-step explanation:
This is percentage increase.In order to find that, we simply do:
(100+25)% = 125%
100% = 12 ounces
125% = ?
12*125/100 = 9 ounces
Add it up to the original amount:
12+9 = 21 ounces
What is 56x92.2÷3?
Answer this fast for brainliest
Plz help
Answers
Answer:
1721.06666667
Step-by-step explanation:
Answer:
1795.73333333
Step-by-step explanation:
hope this helps
Over a 10-year period, Snow City had a snowfall of 478 inches. The snowfall during the past year was 56 inches. If the variable s stands for the total amount of snow for the other 9 years, which would be a reasonable value for s? A. 0.6 inches B. 420 inches C. 730 inches O D. 11 inches
Answers
Answer:
b.
Step-by-step explanation:only reasonable answer if you are subtracting 56 and attempting to estimate to the closest value. my guess, not TOTAL aswer,
help me figure this out
Answers
Answer:
Each number matches up below. The left side is x, and the right is y.
1 ⇒ 192
2 ⇒ 384
4 ⇒ 768
6 ⇒ 1152
10 ⇒ 1920
Step-by-step explanation:
We know in 1 serving, there is 192 calories. Following this, to find the calories for 2 servings, we multiply 192 by 2.
192*2 = 384
When we know the calories but not the serving, you divide the calories by 192
768/192 = 4
How many degrees would an angle that
is cut from 1o/3 a circle measure
Answers
Vvvdcfddfdvffv
ALGEBRA 1 PLS HELP ASAP
Answers
Are these answers right
Look at pictures
Complementary angles
Answers
Answer:
1) correct
2) correct
3) incorrect, x = 11
4) incorrect, x = 50
Step-by-step explanation:
3) 90-35 = 5x
5x = 55
x = 11
4) 90-56 = (x-16)
x-16 = 34
x = 50
Answer:
Step-by-step explanation:
3) 5x + 35 = 90 {Complementary angles}
5x = 90 - 35
5x = 55
x = 55/5
x = 11
4) 56 +x - 16 = 90 {Complementary angles}
x + 40 = 90
x = 90 - 40
x = 50
2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%
Answers
Answer:
10.7%
Step-by-step explanation:
possibility to get a blue marker : 4/15
possibility to get a green marker: 6/15
possibility to get a blue then a green: 24/225
= 10.666666%
= 10.7%
find the inequality represented by the graph please helpp
Answers
Answer:
y=3/4x
Step-by-step explanation:
Consider the graph below:
What is the equation of the line in slope-intercept form?
The equation of the line is
Answers
Answer:
y=-5/4x+5
Step-by-step explanation:
The line goes down 5 for every 4 to the right, and it crosses the y-axis at (0,5).
royal lawncare company produces and sells two packaged products
Answers
help me with this math
Answers
Answer:
=
Step-by-step explanation:
I hope this helps! :)
☁️☁️☁️☁️☁️☁️☁️☁️
A survey asks students if they would like to go to the beach, play volleyball, or swim. Students may choose more than one option. Explain the different categories that could result from the survey.
Answers
Answer:
go to the beach
play volleyball
swim
go to the beach and play volleyball
go to the beach and swim
play volleyball and swim
go to the beach and play volleyball and swim
Step-by-step explanation:
Answer:
go to the beach
play volleyball
or swim
Step-by-step explanation: