Answer:
43 degrees
Step-by-step explanation:
Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.
Tan B = [tex]\frac{opp}{adj}[/tex]
Tan B = [tex]\frac{15}{16}[/tex]
B = [tex]tan^{-1}[/tex]([tex]\frac{15}{16}[/tex])
B = 43.15238973 degrees
Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
i did the work
A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 3 workers has the same chance of being selected as does any other group (drawing 3 slips without replacement from among 24).
Required:
a. How many selections result in all 5 workers coming from the day shift?
b. What is the probability that all 5 selected workers will be from the day shift?
c. What is the probability that all 5 selected workers will be from the same shift?
d. What is the probability that at least two different shifts will be represented among the selected workers?
e. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?
Answer:
252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347
Step-by-step explanation:
A.)
n = 10 ; r = 5
Required outcome :
nCr = n! ÷ (n-r)!r!
10C5 = 10! ÷ (10-5)!5!
(10*9*8*7*6) / (5*4*3*2*1)
= 252
B.)
Total possible outcome : 24C5 = 42504
P(all will be from day shift) = 252 / (24C5) = 0.00593
C.)
P(all will be from the same shift) :
[(10C5)+(8C5)+(6C5)] ÷ 24C5
(252 + 56 + 6) / 42504 = 0.0074
D.)
Probability that at least 2 different shift will be represented :
1 - P(all will be from the same shift)
1 - 0.0074 = 0.9926
D.)
Probability that atleast one of the shift will be unrepresented :
(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)
[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5
(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504
= 14748 / 42504
= 0.347
If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?
Answer:
ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki
ratio of 12 seconds to 1 hour
12:3600
1:300
I edited it lol
hope that helps
Factor as the product of two binomial X^2-100=
Answer:
x^2 - 100 = (x + 10) * (x - 10)
Step-by-step explanation:
Recall that 100 is the perfect square of 10:
10^2 = 100
then we can use the formula for factorization of a difference of squares:
x^2 - 10^2 = (x + 10) * (x - 10)
I dont understand it
Answer:
30xy
Step-by-step explanation:
I divided this shape into a square and a rectangle.
Solve:
First I multiplied 2x and 3y
2x*3y= 6xy
Then I multiplied 6x and 4y
6x*4y= 24xy
Then I added them together
24xy+6xy= 30xy
Hope this helps!
Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)
Answer:
Step-by-step explanation:
The midpoint between two points is just the average of the coordinates.
mp=((x2+x1)/2, (y2+y1)/2)
mp=((-6-2)/2, (-8-6)/2)
mp=(-4, -7)
can someone plz help me out
Step-by-step explanation:
A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.
Help me pls I don't know what I'm doing
Answer:
B. 3.6
Step-by-step explanation:
I have no idea if this is right but my logic is 3.6 - 3.6 = 0
Answer:
B. 3.6
Step-by-step explanation:
The equation is
w - 3.6 = 0
That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.
That is the explanation.
The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.
w - 3.6 = 0
Add 3.6 to both sides.
w - 3.6 + 3.6 = 0 + 3.6
w = 3.6
Answer: B. 3.6
A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling
Divide miles by time:
77 9/16 miles / 8 1/2 hours =
Rewrite as I’m proper fractions:
1241/16 / 17/2
Flip the second fraction over and multiply:
1241/16 x 2/17 = (1241x2)/(16x17) =
2482/272 = 9 1/8 miles per hour
Hi there!
Simplify each terms:
[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]
Divide each terms:
[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]
Simplify terms:
[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]
Final Result:
[tex]9\frac{1}{8}[/tex]
Directions: Find the missing term in each pair of equivalent ratios.
1. 3:4 = 21:n
2. 1:5 = n : 40
3. 2 : n = 8 : 12
4. n = 2
42 7
5. 4 = 20
9 n
Step-by-step explanation:
1 multiplied by 7
3;4=21:28
2) multiplied by 8
1:5= 8:40
3)divided by 4
2:3= 8:12
4) multiplied by 6
12/42= 2/7
5) multiplied by 5
4/9= 20/45
−3x−8y=−8
y=2−x
yes or no
Answer:
No
Step-by-step explanation:
-3x-8y=-8
3x+8y=8 (multiply all terms by -1)
8y=8-3x (take 3x from both sides)
y=1-(3/8)x (divide each term by 8)
1-(3/8)x ≠ 2-x
Brian received a gift card of $60 for a pizza restaurant. The restaurant charges $5 per pizza. Ashley received a gift card of $100 for a different pizza restaurant.
The restaurant charges $10 per pizza.
Let x be the number of pizzas purchased.helpppp!!
See photo^^^
Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?
Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.
Step-by-step explanation:
Answer:
The ratios change as the position of D changes, but the two ratios remain equal to each other
Step-by-step explanation:
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
24 biros
Step-by-step explanation:
12.50 naira = 1 biro
300 ÷ 12.50 = 24 biros
Answer:
24
Step-by-step explanation:
It's a ratio problem
Let B is Biro and N naira
B : N
1 : 12.5
x : 300
then x = 300 * (multply) 1 /12.5 = 24
I hope this is helpful to you
graph of function f(x)=1/x+7-14
Plz help ASAP plz help
Answer:
t=12
Step-by-step explanation:
5t / 4 = 18 - 3
5t / 4 = 15
5t = 15 x 4
5t = 60
t = 12
Hope that helps!
Answer t is 12
Step by step explanantion
1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3
Answer:
sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.
Step-by-step explanation:
em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?
Answer:
Average speed in km / h = 2.7 km/h
Step-by-step explanation:
Given:
Total distance = 54,000 m
Total time = 72,000 sec
Find:
Average speed in km / h
Computation:
Average speed = Distance / Time
Average speed = 54,000 / 72,000
Average speed = 0.75 m/s
1 m/s = 3.6 km/h
So,
Average speed in km / h = 0.75 x 3.6
Average speed in km / h = 2.7 km/h
Sorry for the blur but I need help with this one objective: find all seven angles
Find 30% of 70 whats your right one
Answer:
21
Step-by-step explanation:
I hope this helps!
15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help
What is the value of the expression 8w−4j2 when w=0.25 and j=0.5?
Answer:
-2
Step-by-step explanation:
what is the equation of the line that passes through the point (5, -6) and has a slope of -3/5?
Answer:
y=-3/5x-3
Step-by-step explanation:
(5,-6). y=mx+b or -6=-3/5 × 5+b, or solving for b: b=-6-(-3/5)(5). b=-3.
10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
To learn more on exponential function click:
https://brainly.com/question/14355665
#SPJ2
- 3x + 5y = -2
2x - 2y = 1
Solve by elimination
the answer i think its 8 not sure
Plz guys help me plz
Answer:
The answer is A!
Step-by-step explanation:
Its correct, I took the quiz :)
help me solve this please
Answer:
the answer is 0.7692
Step-by-step explanation:
Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?
Answer:
$1200
Step-by-step explanation:
we know that,
I=PTR/100=200*4*3/100=100*4*3=400*3=$1200
Answer:
1,200
Step-by-step explanation:
The Venn diagram below represents the students in a particular high school.
How many female students have a part-time job and a driver's license?
Female
Part-time job
74
111
56
45
92
38
137
89
Driver's license
No
Answer:
C. 45
Step-by-step explanation:
Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is shown in the very center with the number 45.
Hope it helps!
Answer:
C. 45
Step-by-step explanation:
Because its inside all three circles that you want.