By finding the probability, we can expect that 2 out of the 30 students will win the prize.
How many of the 30 students will win the prize?
First, we should get the probability of winning this game.
Here the students select two numbers out of 6, just to make the calculations let's say that these numbers are 1 and 2.
Now, we need to get these two numbers in two balls. The probability of getting the ball with the number 1 out of the 6 balls is:
p = 1/6
The probability of getting the ball with the number 2 out of the remaining 5 balls (because we already got one) is:
q = 1/5
The joint probability is then:
P = 2*(1/6)*(1/5) = 1/15.
Where the factor 2 comes to take in account the permutations, for the case where we first draw the number 2 and then the number 1.
Then the expected number of students that will win is equal to the probability times the total number of students:
(1/15)*30 = 2
So out of the 30 students, we can expect that 2 will win.
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Find the measure of Angles A and B and the length of BC?
Answer:
dummy its 23 bc angel A
Step-by-step explanation:
WRITE iT dOwN nOW dUmMy
The density of copper is 8.94 g/cm^3. What is the mass of a rectangular sheet of copper: 10 cm wide, 45 cm long, and 0.2 cm thick?
Explain some acceptable reasons for proofs?
Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.
Before opening night, the cast of Wicked put on a matinee and evening dress rehearsal at the Gershwin Theatre. At the Saturday matinee, 350 people attended the show. For the Saturday evening performance, 40% more people attended the performance. If the average cost of tickets was $182, how much money did the Gershwin Theatre collect from ticket sales of the Saturday performance?
The Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
At the Saturday matinee, 350 people attended the show.
The total number of people who watched the show on Saturday = 350
For the Saturday evening performance, 40% more people attended the performance.
350 x 40%
= 350 x 0.4
= 140
Total people will be = 350 + 140 = 490
If the average cost of tickets was $182
For 490 people = 490 x 182 = $89180
Hence, the Gershwin Theatre collected the money from ticket sales of the Saturday performance would be $89180.
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What is the aquare root of 0.00053361
Step-by-step explanation:
no calculator ? or what is the problem ?
I had to use the calculator too.
so, the square root of 0.00053361 is 0.0231.
PLEASE HELPPPP
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
Answer:
3 MonthsStep-by-step explanation:
Please give me Brainliest!
How do I even figure this out??
The value of a is 1/64.
The rules of the exponent are
(a) [tex]a^m*a^n=a^{m+n[/tex]
(b)[tex]a^m/a^n=a^{m-n[/tex]
(c)[tex](a^b)^c=a^{bc}[/tex]
(d) [tex]\sqrt[n]{a}=a^{1/n[/tex]
(e) a⁻ⁿ=1/aⁿ
From the table it is clear that
By the rule of the exponent a⁻ⁿ=1/aⁿ
where a=2
2⁻¹ = 1/2¹ = 1/2
2⁻² =1/2² =1/4
2⁻³ =1/2³ =1/8
2⁻⁴ =1/2⁴ =1/16
2⁻⁵ =1/2⁵ =1/32
So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.
From the above, it is clear that 2⁻ⁿ =1/2ⁿ
using the above formula
2⁻⁶= 1/2⁶ =1/64= a
Therefore the value of a is 1/64.
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−3x−6+(−1) What is it evaluated
Answer:
-3x-7
Step-by-step explanation:
Remember this in mind while solving.
negative + negative = negative.
= −3x−6+(−1)
= -3x-7
Therefore when −3x−6+(−1) is evaluated it is
-3x-7
Solve the following:
(20 - 5²) (16+2²)
-2³ + (3 x 2²)
Give your answer in simplest form.
Answer:
-96
Step-by-step explanation:
(20-25)(16+4)-8+(3x4)
=(-5)(20)-8+12
=-100-8+12
=-96
Could someone help me with this question real quick?
Answer:
Width is 46 meter
Length is 86 meter
Given:
width = wlength = (w + 40)Formula:
Area of rectangle = Length × WidthTrial and improvement:
1st try with w = 50
w(w + 40) = 4000
50(50 + 40) = 4000
4500 ≠ 4000
Value too high.
2nd try with w = 45
w(w + 40) = 4000
45(45 + 40) = 4000
3825 ≠ 4000
Value too small
3rd try with w = 46
w(w + 40) = 4000
46(46 + 40) = 4000
3956 ≠ 4000
This value is somewhat near to the area value.
It is found that width = 46 m then length = (w + 40) = (46 + 40) = 86 m
Understand equivalent ratios in the real world
Ani thinks the perfect milkshake has 5 scoops of ice cream for every 3 spoonfuls of caramel. Freeze Zone makes
"batches of milkshakes with 10 scoops of ice cream and 7 spoonfuls of caramel.
What will Ani think about the amount of caramel in Freeze Zone's milkshakes?
Choose 1 answer:
Freeze Zone's milkshakes have too much caramel.
Freeze Zone's milkshakes have too little caramel.
Freeze Zone's milkshakes are just right.
Answer:
They have too much caramel
Step-by-step explanation:
The ratio to the perfect milkshake would be 5:3 (5 ice-cream, 3 caramel)
The ratio for freeze zones milkshakes are 10:7 (10 ice-cream, 7 caramel)
As you can see the amount of has ice-cream has doubled (5x2=10)
but the amount of caramel has increased more than double (double would be 3x2=6 but its not it is 7)
Therfore there is too much caramel for the 'perfect milkshake'
Hope this helps :)
Answer:
It is she will think there is too much caramel
Step-by-step explanation:
This is because the ratio of 5:10 is 1:2, so you will have to multiply 3 by 2, which is 6, which is smaller than 7.
Determine the period.
The period of the graphed function is T = 8.
How to get the period?For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
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Answer:
^ their right :)
Step-by-step explanation:
Its right on Acellus
have a great day!
A student is trying to solve the system of two equations given below:
Equation P: x+y=8
Equation Q: 2x + 5y = 24
Which of the following steps can be used to eliminate the x term?
02(x+y=8)
O-2(x+y=8)
O-1(2x + 5y = 24)
O-2(2x + 5y = 24)
Step-by-step explanation:
as the following pic answer should be × -2
Answer:
O -2(x+y=8)
Step-by-step explanation:
If you put the problems beside each other, they look like this;
2x + 5y = 24
x + y = 8
So you are trying to find a way to simplify the x's
Step 1;
See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.
In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0
Step 2:
if you multiply, you have to do it to the entire problem;
-2(x + y = 8) (-2 times x, -2 times y, -2 times 8)
-2x + -2y = -16
Step 3:
Go back to your original problem and work it out;
2x + 5y = 24
-2x + -2y = -16
2x and -2x cancel each other out so now you only have;
5y = 24
-2y = -16
Step 4:
Combine like terms;
5y = 24
-2y = -16
3y = 8
Divide by 3
y = 2.6
IV. Solve the problem. A lineman divided a 1500 m of wire into 5 parts in the ratio 4: 5:6:7:8. How long is each piece of wire? IV . Solve the problem . A lineman divided a 1500 m of wire into 5 parts in the ratio 4 : 5 : 6 : 7 : 8 . How long is each piece of wire ?
A ratio shows us the number of times a number contains another number. The length of the pieces of wire are 200m, 250m, 300m, 350m, and 400m.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given the piece of wire are in the ratio 4:5:6:7:8. Therefore, the total length of the wire will be,
4x + 5x + 6x + 7x + 8x = 1500m
30x = 1500 m
x = 50 m
Now, the length of the wire will be,
4x = 4(50) = 200m
5x = 5(50) = 250m
6x = 6(50) = 300m
7x = 7(50) = 350 m
8x = 8(50) = 400 m
Hence, the length of the pieces of wire is 200m, 250m, 300m, 350m, and 400m.
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Which figure has two circular faces?
Figure A
O figure A
Ofigure B
figure C
figure D
Figure B
Figure C
Figure D
A cylinder is a 3D shape having two circular faces.
The answer is Figure A
f(x) = x^2 + 5x - 1 is shifted 3 units left the result is g(x). What is g(x)?
Answer:
A. g(x)=x^2+5x+2
Step-by-step explanation:
f(x) = x^2 + 5x - 1 Shift 3 units to the left. k=3
g(x)=x^2+5x-1+3=x^2+5x+2
g(x)=x^2+5x+2
Hope this helps!
If not, I am sorry.
Margret divides a packet of 20 biscuits among her 8 friends. Find the number of biscuits each friend gets. Express the answer as a rational number
The number of biscuits each friend can get would be 2.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Margret divides a packet of 20 biscuits among her 8 friends.
In order to find the number of biscuits each friend gets.
20 / 8
= 2.5
Hence, the number of biscuits each friend can get would be 2.5.
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What’s not located on a coordinate plane?
Answer:
umm a plane that's all.
dangit and I don't know
Please help, performance task: trigonometric identities
The answers are given below:
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
1. (cos x. cos y)(tan x + tan y) = sin (x+ y)
(cos x. cos y)(tan x + tan y)
= cos x. cos y (sinx/ cos x + sin y/ cos y)
= sin x cos y + sin y cos x
= sin (x+ y) [ sin ( x +y)]= sin x cos y + sin y cos x
= RHS
3. [tex]-\sin ^2\left(x\right)-\cos \left(2x\right)=0[/tex]
Using identity
[tex]-\cos ^2\left(x\right)=0[/tex]
cos ² x=0
Applying [tex]x^{n} =0[/tex] then x=0
So, cos x =0
General solution will be [tex]x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
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HELP! WILL GIVE BRAINLIEST AND 50 POINTS!
A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. During each session in the study, vibration pads were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether low-intensity vibration therapy also reduces pain in patients suffering from ruptured disks in the lumbar region of the back. Three hundred male patients are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 male patients, would you change the study design? If so, how would you modify your design ? If not, why not? (4 points)
Part C: Could your design be double-blind? Explain. (2 points)
Answer:
Part A: The appropriate design would be: 300 male patients chosen should be suffering from ruptured disks in the lumbar region of the back, with similar magnitude of pain (or segregating these 300 as per magnitude of pain)
Part B: If the study consisted of 150 male and 150 female patients instead of 300 malepatients, I would change the study design, because the pain level could endure for femalecould vary compare to male.
Part C:Yes, I could design a double-blind, because it is a very good ways to show theeffect of the therapy because neither the participants nor the researchers knows whichgroups of participants is assigned to which treatment, and who are the groups of participant receiving it.
50 POINTS .....................
The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the picture.
Let's suppose the regression line is:
y = mx + c
Where m is the slope of the regression line and c is the y-intercept of the line.
We can calculate the value of m and c by using the formula.
After calculating, we get:
m = 0.4925
c = -22.26
Mus. Apt. = 0.49253(IQ score) - 22.26
or
Mus. Apt. = -22.26 + 0.4925(IQ score)
Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
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Answer:
The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.
Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?
The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:
[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].What is a system of inequalities?A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.
The variables are given as follows:
Variable x: Number of color copies.Variable y: Number of gray scale copies.She needs to print no fewer than 8 copies, hence:
[tex]x + y \geq 8[/tex].
It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:
[tex]4x + 2y \leq 25[/tex].
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I'm having trouble with inequalities, any help will be appreciated, thanks.
Answer:
-3/2 ≤ x < 5
Decimal form:
-1.5 ≤ x < 5
(hope this helps)
The entire graph of the function h is shown in the figure below.
Write the domain and range of h using interval notation.
Answer:
Step-by-step explanation:
Hey can I have help on this question with an explanation please :)
Step-by-step explanation:
i hope this is helpful!........
5. Carla babysits and tutors to make extra money. She babysits for $5 an hour and tutors for $10 an hour.
She can only work at most 15 hours a week. She wants to go on a trip with her friend and needs to
make $95 dollars this week to cover the cost of the trip. Graph a system of linear inequalities that
represents this situation. Using this graph, identify at least one combination of hours that will NOT be a
solution to this system of inequalities.
I
Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
How to graph the inequality?Let x represents hours babysitting and y represents hours tutoring
So, we have:
Earnings = Rate of babysitting * x + Rate of tutoring* y
This gives
Earnings = 5x + 10y
He wants to earn at least $95.
This means that:
5x + 10y ≥ 95
See attachment for the graph of the inequality
From the attached graph, two possible solutions are: (5, 7) and (8, 5.5)
This means that Carla can babysit for 5 hours and tutor for 7 hours or babysit for 8 hours and tutor for 5.5 hours
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On Monday, a packaging company put together 450x packages of 45 cashews. On Tuesday, the company put together 175 less packages with 15x more cashews in each bag. Which of the following equations could be used to determine how many cashews were packaged on Tuesday?
Answer:
275x packages of 720 cashews
Step-by-step explanation:
450-175=275
(a+1)b
a=15 and b=45
(15 + 1) x 45 = 720
analyze the following budget,with an income of $600,to determine how much can be spent on food for the month
Answer:
C: 80
Step-by-step explanation:
Take 600, and subtract it by the values of 200, 95, 65, and 160.
You get $80 left.
Hope this helps!
Is there an end to prime numbers?
[tex]\huge\purple{Hi!}[/tex]
Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.
Complete the proof that ∠PST≅∠QRT.
S
P
Q
R
T
Answer: Transitive property of congruence
Answer:
5. Substitution
6. Substitution
Step-by-step explanation:
The properties of congruence generally match those of equality;
A ≅ A . . . . reflexive property
A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property
A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution
__
In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.
