Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one minute is equal to 60 seconds. Suppose that angleJ and angleK are complementary, and that the measure of angleJ is 49 degrees, 28 minutes, 21 seconds. What is the measure of angleK?
The measure of angleK is degrees, minutes, and seconds.
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Answer:
40° 31' 39"
Step-by-step explanation:
Base-60 arithmetic is just like base-10 arithmetic in that you borrow the value of the base from the next-higher "digit" when you need to subtract a larger number from a smaller number.
90 : 00 : 00 - 49 : 28 : 21 . . . . . we used a colon (:) to separate "digits"
= 89 : 59 : 60 -49 : 28 : 21
= 40 : 31 : 39
The measure of angle K is 40° 31' 39".
What is the probability that out of 125 babies born, at least 70 will be girls?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
O A. 70.4%
B. 10.5%
C. 51.2%
D. 99.0%
Answer:
Well just looking at the choices can lead you to the answer right away.
Well since the probability of boys and girls are equal, its 50/50. And since 125 in half well about is about 60-62 and the minimum amount of girls has to be 70. It can’t be higher then half and the choices remain to less then half not including 50%. So that eliminates all 3 choices except B.
The probability that out of 125 babies born, at least 70 will be girls is 10.5%. So, option B is correct.
What is meant by probability ?Probability is defined as the chance for an event to occur. The value of probability is expressed from zero to one.
Here,
Let X be the number of girls born among the babies.
Let the number of babies born be n = 125
Let the probability of girls being born be P
Since, boys and girls are equally probable, P = 1/2 = 0.5
The probability that at least 70 girls will be born is P(X ≤ 70)
P(X ≤ 70) = P(70) + P(71) + P(72) + P(73) + P(74) +....P(125)
Applying the binomial probability equation,
P(X) = {n!/[X!(n - X)!} Pˣ (1 -P)ⁿ⁻ˣ
So,
P(70) = {125!/[70!(125-70)!]}x 0.5⁷x (1 - 0.5)⁵⁵
We get P(70) = 0.02913
Using cumulative probability function, we get the probability upto X=125.
By adding all the values, we get,
P(70) = 0.1051
Therefore probability that at least 70 girls are born = 0.1051 x 100 = 10.5%
Hence,
The probability that out of 125 babies born, at least 70 will be girls is 10.5%.
To learn more about probability, click:
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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 82 m long and 53m wide. What is the length of a training track running around the field? (Use the value 3.14 and do not round your answer. Be sure to include the correct unit in your answer.)
Answer:
436.42 m
Step-by-step explanation:
We are to determine the perimeter of the field
perimeter = perimeter of rectangle + perimeter of the two semicircles
Perimeter of a rectangle = 2 x (length + breadth)
2 x (82 + 53) = 270m
Perimeter of a semicircle = 1/2πD
perimeter of the 2 semicircles = 2 x (1/2 x 3.14 x 53) = 166.42
Perimeter = 270 + 166.42 = 436.42 m
pls help me I been in this question for hr pls help
Trig how do you do I do not know
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Answer:
a) 2π radians
b) 10π inches
c) 5/4π inches per minute
Step-by-step explanation:
The formulas are fairly straightforward. Use the given values in each.
a) θ = ωt
θ = (π/4 radians/min)(8 min) = 2π radians
__
b) s = rθ
s = (5 in)(2π radians) = 10π in
__
c) v = s/t
v = (10π in)/(8 min) = 5/4π in/min
What index of y make value 1/y^2
Answer:
(-2) is the index of y make value 1/y².
Step-by-step explanation:
We need to find what index of y makes value 1/y².
Here, the numerator is 1 and the denominator is y².
We know that,
[tex]\dfrac{1}{a^x}=a^{-x}[/tex]
So, the given expression is :
[tex]\dfrac{1}{y^2}=y^{-2}[/tex]
Hence, (-2) is the index of y make value 1/y².
50 POINTS! SHOW WORK OR ILL REPORT! Multiplying mixed numbers
Answer:
15/2 = 7 1/2
Step-by-step explanation:
3 1/3 * 2 1/4 =
= (3 * 3 + 1)/3 * (2 * 4 + 1)/4
= 10/3 * 9/4
= 90/12
= 45/6
= 15/2
= 7 1/2
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
See this attachment
on an eight-question true-false quiz, a student guesses each answer. What is the proability that the student gets at least one of the answers correct
Answer:
0.9961
Step-by-step explanation:
Number of options per question = 2
P(success), p = 0.5
q = 1 - p = 0.5
Number of trials, n = 8
P(x ≥ 1) = p(x= 1) + p(x=2) +... + p(x = 8)
P(x = x) = nCx * p^x * q^(n-x)
Using a calculator to save computation time :
p(x ≥ 8) = 0.9961
What is the scale factor in the dilation? A.2/5
B.1/2 C.2 D.2 1/2
Answer:
d
Step-by-step explanation:
it is
10) -2(n - 6) = 20
please help!
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
21.5 sq. Cm
43 sq. Cm
100 sq. Cm
68.6 sq. Cm
[tex] \large \boxed{ \boxed{ \mathrm{21.5 \: \: cm {}^{2}} }}[/tex]
Solution :By Observing the Above figure, we can conclude that the area of shaded region is equal to the Area of Square minus the sum areas of two equal semicircles (since their diameters are equal)
let's solve for area of square :
[tex]\longrightarrow \: \mathrm{side {}^{2} }[/tex]
[tex]\longrightarrow10 {}^{2} [/tex]
[tex]\longrightarrow \mathrm{100 \: cm {}^{2} }[/tex]
Now,
Radius of the both semicircles measure :
[tex]\longrightarrow \dfrac{10}{2} [/tex]
[tex]\longrightarrow5 \: cm[/tex]
now, let's solve for their area
[tex] \longmapsto 2 \times \dfrac{\pi {r}^{2} }{2} [/tex]
(Since, there are two semicircles)
[tex]\longrightarrow3.14 \times 5 \times 5[/tex]
[tex]\longrightarrow78.5 \: cm {}^{2} [/tex]
Area of Shaded region = Area of Square - Area of Semicircles, that is
[tex]\longrightarrow100 - 78.5[/tex]
[tex]\longrightarrow \mathrm{21.5 \: cm {}^{2} }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: it \: helps \: you \: }}{\orange{.....}}}}}[/tex]
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
100, 20, 4, ...
Answer:
its a geometric progression. r=1/5 or 0.2
Please answer and explain.
Answer:
x = 13
Step-by-step explanation:
The sum of the exterior angles of a 4 sided polygon is 360
139+ 6x+9x+2x = 360
Combine like terms
139+17x=360
Subtract 139 from each side
17x = 360-139
17x = 221
Divide each side by 17
17x/17 = 221/17
x = 13
In angle ABC, AB = 2.5 m, BC = 3.2 m and AC = 2.9 m. Use the Cosine Law to find
, to the nearest degree.
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Answer:
∠A ≈ 72°
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
cos A = (2.9² +2.5² -3.2²)/(2(2.9)(2.5)) = 4.42/14.5
The inverse cosine function is used to find the angle, given its cosine.
A = arccos(4.42/14.5)
∠A ≈ 72°
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 for black, 1/15 for pink, and 1/5 for yellow. What is the probability of pulling a blue or yellow card, written as a reduced fraction?
Answer:
3/10
Step-by-step explanation:
1/10 + 1/5 = need to get common denominators to add.
1/10 + 2/10 = 3/10
Can y’all help me on question 1?! Have a good day everyone!
Answer:
54 square inches
Step-by-step explanation:
9 times 12 is 108. That is the area of a rectangle with the same length and width/height. A right triangle is half of that. So 108/2=54
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B
»»————- ★ ————-««
Here’s why:
An area of a triangle is half the value of the product of the triangle's base and height.⸻⸻⸻⸻
[tex]\boxed{\text{Area of A Triangle:}}\\\\---------\\\frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\text{b - base}\\\text{h - height}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the area of the Triangle:}}\\\\-------------\\\ \frac{9*12}{2}\\\\\rightarrow\frac{108}{2}\\\\\rightarrow \boxed{54}\\\\\text{The area should be 54 square inches.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What can you tell about a triangle when vibe three side lengths
Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Hope it helps...
Evaluate the expression when m=9 and n=4.
6m-n
X
?
6m -4
Answer:
50
Step-by-step explanation:
6m-n
Let m = 9 and n = 4
6*9-4
Multiply first
54-4
Then subtract
50
Sue wants 1 / 3 of a rectangular pan of cornbread. Dena wants 1 / 2 of the same pan of cornbread. How should you cut the cornbread so that each of the girls gets the size portion she wants?
Answer:
Step-by-step explanation:
need help again thank you
<3
a.
Answer:
240 cm^3
b.
Answer:
208cm^2
Tell me a some basic terms related bijective.
1:A function of F:R --->is defined by f(x)=x²-1,is f one to one an onto.
Answer:
NoStep-by-step explanation:
The answer is no since f(-x) = f(x)
Example:
f(-1) = 1 - 1 = 0f(1) = 1 - 1 = 0It is not one-to-one, it is two-to-one
Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?
pls help me
Answer:
The answer is option 1: 3
Step-by-step explanation:
Just took the test :)
Helpppp please
I’m being timeeeeedddd
Answer:
x = -9
Step-by-step explanation:
ANGLES IN A TRIANGLE ADD UP TO 180°
50° + 80° = 130°
180° - 130° = 50
x+59 = 50
x = -9
Question 6,7 I needed the answer
Answer:
6.n/4
7.3/4time G or 0.75G
Step-by-step explanation:
6.3m+n/12-m-n/4=3m-3m+n+3n=4n/12=n/4
7.G=0.9a/1.2b G=3/4*a/b
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
Answer:
20%
Step-by-step explanation:
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9)
10)
22x - 2
8x + 2
A) 5
B) 6
D 2
C) 8
A 5
C) -10
Answer:
I don't know
Step-by-step explanation:
could you screenshot your question or reword it. I don't know what you're asking. Sorry.
HELP PLEASE giving out brainilest
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Answer:
160 cm³
Step-by-step explanation:
The ratio of the linear dimensions is the square root of the ratio of areas:
scale factor B/A= √(64/144) = 8/12 = 2/3
The ratio of volumes is the cube of the scale factor:
(volume B)/(volume A) = (2/3)³ = 8/27
Then the volume of pyramid B is ...
volume B = (volume A) × (volume B)/(volume A)
= (540 cm³) × (8/27) = 160 cm³ . . . . volume of pyramid B
_____
Equivalently, the ratio of volumes is the 3/2 power of the ratio of areas.
Vb = Va(64/144)^(3/2) = (540 cm³)(4/9)^(3/2) = (540)(8/27) cm³ = 160 cm³
h is f × 2 r
pla help
Answer:
step one 1 ×3 = 4
Step-by-step explanation:
how first fo ther
answer 1 or answer 2?
Answer:
2 Function B
Step-by-step explanation:
Answer:
Function B is greater
Step-by-step explanation:
The gradient of Function B is of 3 = m
Though the gradient of Function A is of 1 = m, obviously being of the smaller size
If you didn't know, gradient is the same as the slope
Hope this helps
determine the value of a in the figure shown
Answer:
d
Step-by-step explanation:
180-149= 31.
31+ 122= 153
180-153= 27
a= 27