Answer:
the answer is actually 23 people
Step-by-step explanation:
Bill Nye's birthday paradox can be explained in the following manner:
first we must find the probability that in a room with 23 people, no two people have the same birthday
probability of no two people having the same birthday = 365/365 x 364/365 x 363/365 x 362/365 ... you keep multiplying until 343/365 = 0.492703
so the probability that in a room with 23 people, no two people have the same birthday = 49.2703%
the probability of two people having the same birthday = 1 - probability of no two people having the same birthday = 1 - 49.2703% = 50.7297%
In triangle PQR m angle P=60°, and m angle Q=30°, and m angle R=90°. Which of the following statements about triangle PQR are true? Check all that apply.
Answer: A, C, and F
Step-by-step explanation:
The correct statements about triangle PQR.are given by options A), B), and F) and this can be determined by using the trigonometric functions.
Given :
In triangle PQR, angle P is 60°, angle Q is 30° and angle R is 90°.
The trigonometric functions can be used in order to determine the correct statements about triangle PQR.
[tex]\rm sin30 = \dfrac{PR}{QP}[/tex]
[tex]\rm PQ = 2\;PR[/tex]
[tex]\rm cos30 = \dfrac{QR}{QP}[/tex]
[tex]\rm PR=\dfrac{\sqrt{3} }{2}\;PQ[/tex]
[tex]\rm tan30 = \dfrac{PR}{QR}[/tex]
[tex]\rm \sqrt{3}\; PR= QR[/tex]
[tex]\rm sin60 = \dfrac{QR}{PR}[/tex]
[tex]\rm QR=\dfrac{\sqrt{3} }{2} \;PR[/tex]
[tex]\rm cos60 = \dfrac{PR}{QP}[/tex]
[tex]\rm PR=2\;PQ[/tex]
[tex]\rm tan60 = \dfrac{QR}{PR}[/tex]
[tex]\rm PR=\sqrt{3} \; QR[/tex]
Therefore, the correct option A), B), and F).
For more information, refer to the link given below:
https://brainly.com/question/13710437
6x^2-19x+3=0
Find both of the x
00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)
Answer:
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C
Step-by-step explanation:
The product of two numbers can be put in the form of the sum of two products by using this rule, m × n = (a × n) + (b × n), where m = a + b
Let us solve the question using this rule
∵ We need to put 64 × 13 as the sum of two products
→ Let m = 64 and n = 13
∵ m = 64 and n = 13
∵ 64 = 60 + 4
∴ a = 60 and b = 4
→ By using the rule above
∵ m × n = (a × n) + (b × n)
∵ a = 60, b = 4, and n = 13
∴ 64 × 13 = (60 × 13) + (4 × 13)
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)
Cathy's food usually costs $212.90 a week. One week, it cost $198.98. How
much less money did she spend that week?
Answer:
$13.92
Step-by-step explanation:
How many shelves did Andrew stock per hour?
Answer:
we dont have the info
Step-by-step explanation:
i Wnte 2x2x3x3x5 using exponents.
In a clinical trial of oxycodone, 16 subjects experience headaches among the 227 subjects treated with oxycodone. Construct a 95% confidence interval for the proportion of treated subjects who experience headaches. Provide both probabilistic and practical interpretations. (Hint: this is proportion problem).
Answer:
95% Confidence Interval = (0.037, 0.104)
Step-by-step explanation:
The formula for Confidence Interval if a proportion is:
p ± z × √p(1 - p)/n
z = z score of a 95% confidence interval = 1.96
p = proportion = x/n
x = 16, n = 227
p = 16/227
p = 0.0704845815
≈ 0.0705
Confidence Interval
= 0.0705 ± 1.96 × √0.0705(1 - 0.0705)/227
= 0.0705 ± 1.96 × √0.0002886773
= 0.0705 ± 0.0333013921
Confidence Interval
= 0.0705 - 0.0333013921
= 0.0371986079
≈ 0.037
= 0.0705 + 0.0333013921
= 0.1038013921
≈ 0.104
Hence, 95% Confidence Interval = (0.037, 0.104)
A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fabric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)
Answer:
54
Step-by-step explanation:
The circumcenter is the middle to each vertex. So since they gave you 9 in. and you have to go back and forth on each line, that is 18 in. per line. Considering there are three lines, add all of them together (Or multiple 18 by 3) to get 54 in.
Any other Prepworks questions? :)
Which of the following shows only multiples of 12
Answer:
there is no following
Step-by-step explanation:
Answer: 12,24,36,48,60,72,84,96,108,120,132,144
Step-by-step explanation:
Hope this helps. Could not see the image attached.
helppppp please I will give brainliest
Answer:
-3/4 ata di ako sure sa answer ko ha
Check all apply 2x+2-9=5
Answer:
x=6
Step-by-step explanation:
2x=12 simplify and subtract
x=6
PLZ I WILL GIVE BRAINLISTS. Which is a exaplem of a negative number
1
9
-3
14
Answer:
-3
Step-by-step explanation:
because it has a negitve sign
Answer:
-3
look at this number line
________________________________
-4 -3 -2 -1 0 1 2 3 4
The numbers on the left side of the 0 are negative since they have a value below zero. This can be represented as a - (negative) sign
Step-by-step explanation:
Keep in mine this number line can continue forever meaning every possible number on the left side of the 0 is negative.
The two boxes shown are cuboids.
20 cm
4 cm
30 cm
3 cm
50 cm
10 cm
Work out how many of the smaller boxes you would need
to completely fill the larger one.
Answer:
250.
The area of the larger box is 30,000 cm squared. Once you find the total area of the small box, divide that by the area of the larger box and you have your answer.
Answer:
205
Step-by-step explanation:
whats 9+10 ??????????????????????
Answer:
19
Step-by-step explanation:
yerreeer cause u add duh
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
Mr. Smith provides music lessons online for a fee. He charges $15 per lesson plus an initial fee of $30. How many lessons could Jason sign up for if he wants to spend $120?
Wright an equation to represent how many lessons Jason could sign up for. Show all steps to solve the equation. Explain what your final answer means in context of the problem.
Answer:
2 lesson with a remainer of $30
Step-by-step explanation:
$15 + $30 = $45
$45 multipled by 3 would equal 135 witch is $15 over ,
but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)
HELP!!! use Gauss-Jordan elimination to solve the following linear system
-x+6y=20
-x+3y=8
I solved it using my calculator but you can also solve the matrix by hand.
Ken prepared 12 kilograms of dough after working 2 hours. How many hours did Ken work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.
Answer:
36 Kilograms of Dough in 6 hours
Step-by-step explanation:
Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.
10 lbs to 6 lbs need percentage
please give step by step
Answer:
10ibs=1000% 6ibs=600%
Step-by-step explanation:
What is the slope-intercept form of a line that contains the point (-2,-11) with a slope=4?
PLZ HELP I ONLY HAVE 10 minutes left
Answer:
I believe its c.
Step-by-step explanation:
There using the equation mx+b=y. M is the slope(4), b is the y intercept (3).
Answer:
The correct choice is D.
Joy hiked 9.8 miles on Saturday and 4.2 miles miles on Sunday. How much farther did Joy hike on Saturday than on Sunday? miles
Answer:5.6 I think
Step-by-step explanation:yea I just minus them and got that so
If N(k) is the inverse of K(n) and N(12) = 4, then K(4) = 12
Answer:True
Step-by-step explanation:
3x + 6y = 42 and -7x + 8y = -109 solve by elimination
Answer:
Point Form
(15,-1/2
Equation Form
x=15 and y= -1/2
Step-by-step explanation:
If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?
Answer:
range: (-5, ∞)
domain: (-∞, ∞)
Step-by-step explanation:
given vertex, absolute minimum: (-3, -5)
Range look at y-value
(minimum, maximum) the -5 will be on the left of the comma b/c its the min
If this was a max, you would put the y-value on the right side of the comma
How many solutions will there be to the following equation?
16x2 = 100
a. more than 2 solutions
b.
no solution
c. 1 solution
d. 2 solutions
Answer:
d. 2 solutions
+5/2,-5/2
Step-by-step explanation:
16x^2 = 100
x^2=100/16
x^2=25/4
X=√25/4
X=. +5/2,-5/2
So the answer is +5/2,-5/2
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer: B
Step-by-step explanation: if 24 to 16 is 3:2 then because this is directly proportional it would be that x is 6:4
Simplify the sum. (10x^5+1x+8)+(2x^5+8x^2+4)
Answer:
12x^5 + 8x^2 + x + 12
Step-by-step explanation:
there are 120 calories in 2/3 cup. how many calories are in 1 cup?
Answer: 180
Step-by-step explanation: If of a 2/3 of a cup is 120 then 1/3 of a cup is 60. if 1/3 is 60 the 1 cup is 180.
which statement about 3/4 multiplied by 16/5 is true?
A. The product is greater than 5
B. The product is less than 3/4
C. The product is between 3/4 and 16/5
D. The product is between 16/5 and 5
Answer:
Option c
Step-by-step explanation:
3/4 multiplied by 16/5
3/4×16/5
12/5
Option c is correct
The product between 3/4 and 16/5
3÷x-1-3÷x+1=4 solve this equation in in quadratic equation
Answer: that equation is wrong because ever time I put the equation in the calculator it would not give me the answer, and it will tell me that We think you wrote this 3-:x-1-3-:x+1=4.
may you write the equation a little please, not to mean or anything but it would not give me the answer.
Answer:
no solution
Step-by-step explanation: