NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Please answer each question truthfully or I will report you
Answer:
1. 17.6
2. 8.8
3. 4.79
4. 3.92
Answer:
33: 17.6
34: 8.8
35: 4.79
36: 3.92
Step-by-step explanation:
Please note that threatening people isn't the best way to get them to help! Thx!
Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3
B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2
Answer: you’re welcome
Step-by-step explanation:
The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).
How to find probability using binomial distribution?The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.
In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.
Given that,
The probability of making free-throw is 70% = 70/100 = 0.7
Then, the probability of not making free-throw is 1 - 0.7 = 0.3.
The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.
So, this case belongs to the binomial distribution which can be written as,
ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.
Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,
P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²
Hence, the probability of getting exact 8 free-throws out of 10 is ¹⁰C₈(0.8)⁸(0.3)².
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Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1
Answer:
The solutions I found to this system of equations are (1, 0) and (⁸/₁₅, -7).
I keep second guessing and recalculating the second point there, so I'd suggest double-checking it by going through the work yourself. The first one checks out though.
Step-by-step explanation:
Let's solve this by substitution, where one equation is solved for one variable and substituted in to the other. As the latter equation is already solved for y, we can simply substitute it into the other:
given:
y = 3x² - 4x + 1
3x - 5y = 3
then:
3x - 5(3x² - 4x + 1) = 3
Which we can then simplify and solve:
3x - 15x² + 20x - 5 = 3
-3x + 15x² - 20x + 5 = -3
15x² - 23x = -8
Now we can find find the solution by completing the square:
15(15x² - 23x) = 15(-8)
225x² - 345x = -120
225x² - 345x + (23/2)² = -120 + (23/2)²
225x² - 345x + 529/4 = -120 + 529/4
(15x - 11.5)² = -120 + 132.25
(15x - 11.5)² = 12.25
15x - 11.5 = ± √12.25
15x - 11.5 = ± 3.5
15x = 11.5 ± 3.5
x = (11.5 ± 3.5) / 15
x = 15 / 15, and 8 / 15
x = 1, and 0.5333...
Now that we have x, we can solve for y.
given: 3x - 5y = 3
for x = 1:
3 - 5y = 3
y = 0
for x = ⁸/₁₅:
3(⁸/₁₅) - 5y = 3
5y = 3(⁸/₁₅) - 3
5y = ²⁴/₁₅ - ⁴⁵/₁₅
5y = -²¹/₁₅
y = -²¹/₃
y = -7
So the solutions to this system of equations are (1, 0) and (⁸/₁₅, -7).
1. What is the purpose of using a control group and an experimental group in a research study? Give an
example of a situation where they would be used.
Answer:
A control group is used in an experiment as a point of comparison.
Step-by-step explanation:
By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.
3/4x - 7 > 5
whats the inequality ?
Answer:
x > 16
Step-by-step explanation:
3/4x > 12
3x > 48
x > 16
hope this helps
please answer all the questions for 25 points and for brainliest if not answer correctly will report
Answer:
1) 56.52 in²
2) 565.2 ft²
3) 235.5yd²
4) 898.04 ft²
5) 942 yd²
6) 75.36 in²
Step-by-step explanation:
SA= πrS + πr²
1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²
2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²
3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²
4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²
5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²
S =5 because 5² = 3² + 4²
6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²
Branliest to correct answer no guessing explain how you solved it
Answer:
5,040 play list arrangements. its very complexe and will hurt to type srry
Step-by-step explanation:
A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?
Answer:
26 candles
Step-by-step explanation:
Peter’s teacher says he may have his report card percentage based on either the mean or the median and he can drop one test score if he chooses. 84%, 71%, 64%, 90%, 75%, 44%, 98% Which measure of center should Peter choose so he can have the highest percentage possible? Peter should choose the mean after dropping one test score. Peter should choose the mean without dropping one test score. Peter should choose the median after dropping one test score. Peter should choose the median without dropping one test score.
Answer:
it number 3 ok look it up
Step-by-step explanation:
my user name on is john_wick4732
Answer:
The answer is A) Peter should choose the mean after dropping one test score
Step-by-step explanation:
please mark brainlest if im right please :3FREE BRAINLIST NEED HELP ASAP
what is the value of m when m/2=4.8
Answer: 9.6
Step-by-step explanation:
You need to isolate the m and in order to do that then you have to multiply both sides by 2
So m/2 x 2 = m
4.8 x 2 = 9.6 which is the answer
Answer:
m = 9.6Step-by-step explanation:
m/2 = 4.8
m = 4.8×2
m = 9.6
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
What number is 40% of 720
Answer:
the answer should be 288
Answer:
288
Step-by-step explanation:
To solve this, you divide 40% by 100.
= (40% / 100) x 720
Then you multiply 0.4 by 720.
= 0.4 x 720
= 288
does anyone know any of these?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: I know #2 is G
Explanation:
A polygon is a plane figure with at least three STRAIGHT sides and angles.
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
In ABC, what is the value of x?
Answer:
122 po nya ta
Step-by-step explanation:
sana po makatulong
Answer:
70
Step-by-step explanation:
I got it wrong and this is what showed up
180 students in a 10th grade class high school take a survey about which video game consoles they own. 80 students answer that one of the consuls is a PlayStation 90 answer that one of the consules is an Xbox out of these there are 30 who are both systems > continue reading on picture pls help very important
Answer:
Ur answer is in attachment
Step-by-step explanation:
please mark me as brainliest
The probability that a student has both box and a console is 1/6 and the P(B/A) = 0.378
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here, the number of students with both video games is 30 thus
The probability that a student has both box and a console is 30/180=1/6
And the conditional probability P(B/A) is = 1/6/0.44
= 0.378
Hence, The probability that a student has both box and a console is 1/6, and the P(B/A) = 0.378
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What's 9 mil time 400 can you please answer
Answer:
The answer is 3,600,000,000
Step-by-step explanation:
Simply multiply 9,000,000 * 400 which equals 3,600,000,000.
A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?
Answer:
73.5
Step-by-step explanation:
84/8=10.5
10.5x7=73.5
16 is the sum of a number and 2.
What is the equation?
Answer:
14
Step-by-step explanation:
[tex]x + 2 = 16 \\ x = 16 - 2 \\ x = 14[/tex]
Like this ???
Answer:
16 = 2 + 14
Step-by-step explanation:
Sum means to add to numbers, so we are finding x + 2 = 16.
x + 2 - 2 = 16 - 2
x = 14
Simplify.
5a√2+3a√2
16a
8
8a
Answer:
8a[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term
= [tex]\sqrt{2}[/tex] (5a + 3a)
= 8a[tex]\sqrt{2}[/tex]
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)
Answer:
y = 2/3x + 4
Step-by-step explanation:
y = 2/3x + b
substitute
4 = 2/3(-6) + b
4 = -4 + b
what number added to -4 will equal 4? the only answer is 8.
-4 + 8 = 4.
b = 4
SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP
Answer:
93.5
Step-by-step explanation:
PLEASE HELP!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!!
Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.
(a) What output does the rule give when the input is ? Show your work.
(b) What output does the rule give when the input is ? Show your work.
(c) Is the rule a function? Explain why it is or why it is not
Answer:
a) (-9, 4)
b) (0, 0)
c) No
Step-by-step explanation:
Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.
Answer:
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
If two lines are perpendicular, this means that the multiplication of their slopes is -1.
Perpendicular to y=2x+7
This means that:
[tex]2m = -1[/tex]
[tex]m = -\frac{1}{2}[/tex]
So
[tex]y = -\frac{1}{2}x + b[/tex]
Passing through the point (-4,5)
This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.
[tex]y = -\frac{1}{2}x + b[/tex]
[tex]5 = -\frac{1}{2}(-4) + b[/tex]
[tex]2 + b = 5[/tex]
[tex]b = 3[/tex]
The equation of the line is:
[tex]y = -\frac{1}{2}x + 3[/tex]
HELP DUE BY 1pm PACIFIC NEED HELP ASAP
I'm backkkk!
40 = 5 (w - 2) would be the equation.
40 = 5w - 10 using the distributive property.
+ 10 + 10 because you must add to both sides to get rid of the 10.
50 = 5w
/5 /5 again, keep the same on both sides, and...
10 = w
Find the volume of cylinder with height 9 cm and radius 4 cm
Answer: 144π
Step-by-step explanation: First. find the area of the bases. To do this, you must solve for the area of a circle with a radius of 4. Since the formula for finding the area of a circle is area=πr² squared, the area of the circles are 16π. Next, you must multiply the area of the base, 16π, by the height of the cylinder, 9. 16π times 9 is 144π, or about 452.4, if rounded to the nearest tenth, or 452.39, if rounded to the nearest hundredth.
L
1) Factor the rational function.
22-4
22-50-14
X intercept
Answer: i dont know
Step-by-step explanation:
A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?
If the measure of angle 2 is 155 degrees, what is the measure of angle?