a number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times. How does this frequency compare to the expected frequency based on the probability of the number cube landing on an even number?
Answers
Answer:
The frequency is 3 more than expected
Step-by-step explanation:
There are 3 favourable outcomes: {2, 4, 6}
There are 6 possible outcomes: {1, 2, 3, 4, 5, 6}
probability of the number cube landing on an even number = favourable outcomes / possible outcomes = 3/6 = 1/2
If the cube is rolled 30 times, it is expected that in 1/2*30 = 15 times landed on an even number. The frequency: 18 is 3 more than expected
Related Questions
The graph of f(x) shown below resembles the graph of g(x)=x^3, but it has been vertically stretched. Which of the following could be the equation of f(x)?
Answers
Answer: it’s b
Step-by-step explanation:
Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance
Answers
Disability insurance is generally provided by the employers to the employee
What is an Insurance Coverage ?Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.
Generally the employers provide Disability insurance to their employees .
An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .
A railway employee is given a Disability insurance cover and many other normal companies also provide Disability insurance.
Hence Option B Disability insurance is the correct answer.
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KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305
Answers
Answer:
305
Step-by-step explanation:
52 customers per day * 5 days per week
260 currently
Now add the 9 per day to find you new goal
52+9 = 61 per day
61 *5 = 30
305 per week is your goal
the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answers
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM
Answers
Answer:
False.
Step-by-step explanation:
Just look at them. They aren't even similar.
A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.
Hence, the given statement is false.
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Which rule describes the composition of
transformations that maps
ABC to A'B'C"?
Answers
Answer:
translation
Step-by-step explanation:
when f(x)=-3 what is x
Answers
Step-by-step explanation:
i think the answer is -3 only
What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answers
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
What is the interquartile range (IQR) of the data set below? (You have until 6:30 P.M. EST) (I don’t mind late answers, maximum being 6:35-6:40.)
Answers
Answer:
21.5
Step-by-step explanation:
Arrange numbers from smallest to largest:
56, 65, 69, 77, 79, 82, 88, 89, 90
The interquartile range is the range in the middle of the data set, we can find it by knowing the upper and lower quartiles.
56, 65, 69, 77, 79, 82, 88, 89, 90
(65+69)/2 = 67
(88+89)/2 = 88.5
The interquartile range:
88.5 - 67
= 21.5
In the proportion 15/3 = v/7 , which number is equal to y in the proportion ?
Answers
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
Express 3*(4*5) as a common fraction given a*b= ab/a+b .
Answers
Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2
Step-by-step explanation:
The common fraction for the given expression is 60/47.
What is a fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that an expression, 3*(4*5) such that, a*b= ab/a+b
Solving the expression as per the given formula,
4*5 = 4×5/(4+5) = 20/9
Now,
3*(4*5) can be written as, 3*20/9
Therefore,
3*20/9 = 3×20/9/(3+20/9)
= 20/3×9/47
= 60/47
Hence, the common fraction for the given expression is 60/47.
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If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? A triangle with a base of 18.18 centimeters and a height of 10.9 centimeters. A triangle with a base of 42.2 centimeters and a height of 26.2 centimeters. A triangle with a base of 88 centimeters and a height of 52.8 centimeters. A triangle with a base of 200 centimeters and a height of 120 centimeters.
Answers
Answer: C) 52.8 and 88
Step-by-step explanation:
Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88. Thus the answer is C.
Hope it helps <3
Answer:
Third Choice 52.8 cm by 88 cm
Step-by-step explanation:
Multiply each dimension by the scale factor.
24 cm * 2.2 = 52.8 cm
40 cm * 2.2 = 88 cm
Answer:
Which of the following systems of equations is an example of one where substitution is the best method?
Answers
Answer:
option c is the correct ans .
because we can easily substitute the value of y in equn 2 to get value of x..
Answer:
To me, the third one is the best.
Note: y has been made subject of formula which makes it easy to substitute it into equation 2 and find x .
Step-by-step explanation:
What is the slope of the line represented by the equation y=-1/2x + 1/4?
Answers
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y=-1/2x + 1/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -1/2 and the y intercept is 1/4
What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION
Answers
Answer:
4
Step-by-step explanation:
Given
-5, -20, -80, .....
Required
Determine the common ratio
The common ratio of a sequence is determined by dividing a term by its immediate previous term;
Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r
From the analysis above;
[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]
Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]
[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]
[tex]r = 4\ or\ r = 4[/tex]
Both values of r are the same;
Hence, the common ratio of the sequence is 4
Find the distance of the line segment joining the two points: (sqrt 2,1) and (0, -sqrt 2)
Answers
Answer:
2.8
Step-by-step explanation:
√(-√2-1)²+(0-√2)²
Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.
Answers
Answer: Angle A to the nearest degree = 50°
Step-by-step explanation:
Given the triangle ABC:
Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.
cosine of A
Using Pythagoras rule :
Cos A = Adjacent / Hypotenuse
Cos A = 267 / 391
Cos A = 0.6828644
Taking the cos inverse of angle A
A = Cos^-1 (0.6828644)
A = 46.932111°
A = 50°
Answer:
47°
Step-by-step explanation:
what is y=-1/4x+4 written in standard form? plsss help!
Answers
Answer:
The standard form of this slope-intercept form is x + 4y = 16.
Answer:
x + 4y =16
Step-by-step explanation:
[tex]y= \frac{-1}{4}x+4[/tex]
Multiply by 4
[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]
4y = -x + 16
x + 4y =16
Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)
Answers
Answer:
The ordered pair (e₁, e₂) is (6, 8).
Step-by-step explanation:
Consider the pathway attached below.
Consider that Fred is at 1.It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.
e₁ : 1 3 5 7 ...
P (e₁) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 1 is:
[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]
The sum series e₁ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₁ is:
[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]
Consider that Fred is at 2.It is provided that Fred always moves to 1 if he at step 2.
e₂ : 2 4 6 8 ...
P (e₂) : 0.50 0.50² 0.50³ 0.50⁴ ...
The expected number of steps Fred takes to get to 0 if he is at 2 is:
[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]
The sum series e₂ is an AGP.
The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]
Then the value of e₂ is:
[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]
Thus, the ordered pair (e₁, e₂) is (6, 8).
Answer:
(3, 4)
Step-by-step explanation:
For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.
[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]
This equation eventually equals to 3, so e_1 is equal to 3.
For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answers
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answers
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
PLEASE HELP!!!!!
Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR
Answers
Answer:
option c is the correct ans as there is given similar sign with two triangle.
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answers
Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
Sum of measures of all arcs in the circle= 2π
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)
Answers
Answer:
(0, - 2)
Step-by-step explanation:
The y-intercept of the rational function is (0, −2).
Which statement is the most appropriate comparison of the spreads?
Answers
Answer:
D The IQR for town A is less than the IQR for town B
Step-by-step explanation:
A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?
Answers
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Answer:
1.5 !
Step-by-step explanation:
oh khan academy :))
Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE
Answers
Answer:
the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Which best describes the relationship between the lines with equations
Answers
Hey there! :)
Answer:
B, they are the same line.
Step-by-step explanation:
Begin by converting each equation to slope-intercept form to make it easier to see the relationship:
-3x - 4y = 1
-4y = 3x + 1
y = -3/4x - 1/4
-------------------
-6x - 8y = 2
-8y = 6x + 2
y = -3/4x - 1/4
The lines are the same. Therefore, B is the correct choice.
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answers
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
3^x+x³=17
solve for x
Answers
Answer:
Hello!
~~~~~~~~~~~~~~~
3^x+x³=17
= x = 2
Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.
Hope this helped you! Brainliest would be nice! ❤︎