Answers
Answer:
a) 11/100
b) 60 times
Step-by-step explanation:
a)
We want to find the probability that a 3 will be rolled.
Probability = # of favorable outcomes / total # of outcomes.
Here the number of favorable outcomes will be the number of times a 3 was rolled and the total number of outcomes will simply be the # of times that the dice was rolled which can be calculated by finding the sum of the frequencies of each number.
So # of favorable outcomes = 11 ( as the dice was rolled on a 3 11 times.)
And the total number of outcomes would be 100 ( the sum of the frequencies , 12 + 35 + 11 + 23 + 7 + 12 = 100 )
So the probability of rolling a 3 would be 11/100
b)
For this part we want to find the expected times that a 6 would be rolled if we rolled the die 500 more times.
To calculate this we simply find the probability of rolling a 6 and then multiply that by 500.
So again probability = # of favorable outcomes / total # of outcomes.
Here # of favorable outcomes is frequency of rolling a 6 which would be 12 and the total number of outcomes is 100 as we found out during the last part.
So the probability of rolling a 6 is 12/100 or 3/25
We then multiply this by 500 to find the expected number of times a 6 would be rolled if the dice was rolled 500 more times
So our answer = 3/25 × 500 = 60 times
Related Questions
36.4 divided by 109 1/5
Answers
Answer:
0.33
Step-by-step explanation:
36.4 divided by 109 1/5 is 0.33.
what is the difference between -4-(-13)
Answers
Answer:
9
Step-by-step explanation:
- 4 - ( - 13 )
= - 4 + 13
= 13 - 4
= 9
6. Clark wants to transform a shape on the
coordinate plane by using a rigid transformation.
Of the choices below, list any that Clark can use.
I.
Dilation
II. Rotation
III. Translation
IV. Reflection
Answers
a rigid transformation is a geometric transformation that preserves the distance between every pair of points. The rigid transformations include rotations, translations, reflections, or any sequence of these (dilation changes the points for a bigger or smaller shape so it is NOT rigid)
Line segment SU is dilated to create S'U' using point Q as the center of dilation.
The scale factor of the dilation is:
Answers
If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.
Following points can be concluded from the given conditions.
It is shown in the figure that the distance from Q to S is 4 unit, and the distance from Q to S' is 8 unit.The distance from Q to U is 5 unit and the distance from Q to U' is 10 unit.U and S both are the mid-points of the line segment QU' and QS' respectively.The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
To know more about the scale factor, please refer to the link:
https://brainly.com/question/20449840
please help, much appreciated!!!! (will mark brainliest)
Answers
Answer:
16 years
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
A grocery store has advertised a sale on ice cream. Each carton of any flavor of ice cream costs $5.25
A. If Millie buys one carton of strawberry ice cream and one carton of chocolate ice cream, write a
algebraic expression that represents the total cost of buying the ice cream.
B. Write an equivalent expression for your answer in part (a).
C. Explain how the expressions are equivalent.
Answers
Each carton of any flavour costs same
THE COST IS $5.25so
Total cartons:-
One strawberry+One chocolate2Total cost
2(5.25)$10.5There are 13 buttons in a bag 9 buttons are white. 4 buttons are black Carol takes a button at random from the bag, and keeps it She now takes another button from the bag. Work out the probability that Carol takes a button of each colour.
Answers
Step-by-step explanation:
Answer is case 1st:
P(of white button) = 9/13
P(of black button) = 4/12
Case 2nd
P(of black button) = 4/13
P(of white button) = 9/12
Explanation
Given: A Question
To find: Probability
Solution :Case 1st
If carol takes the first button is white
P(of picking a white button) = 9/13
And
P(of picking a black button) = 4/12
Case 2nd
If carol takes the first button is black
So, P(of picking a black button) = 4/13
And P( of picking a white button) = 9/12
P(of white button) = 9/13
P(of black button) = 4/12
Case 2nd
P(of black button) = 4/13
P(of white button) = 9/12
Explanation: Given : A Question
To find : Probability
Solution : Case 1st
If carol takes the first button is white
P(of picking a white button) = 9/13
And
P(of picking a black button) = 4/12
Case 2nd
If carol takes the first button is black
So, P(of picking a black button) = 4/13
And P(of picking a white button) = 9/12
I hope this helps.
Find the mass of a thin triangular plate bounded by the coordinate axes and the line if
Answers
The mass of a thin triangular plate bounded by the coordinate axes is 3 3/4.
How to calculate the mass?It should be noted that mass simply means a quantity of matter that's in a body. It's the meaure of the inertia in the body.
In this case, from the complete question, the mass will be:
= 3/1000[1/24x⁴ - 25x² + 1000/3x]
= 15/4
= 3 3/4
Learn more about mass on:
https://brainly.com/question/19385703
#SPJ1
Find the surface area of the rectangular prism
Answers
Answer:
82 inches squared
Step-by-step explanation:
7*3*2 = 42
7*2*2 = 28
3*2*2 = 12
42 + 28 + 12 = 82
a bookstore carries 50 magazines. 34% of the magazines are womens magazines. how many woman’s magazines does the bookstore carry?
Answers
Answer:
50 * 34%
50 * 34/100
34 / 2 = 17
Ali is 5 years older than salifu, If Salifu is y years.
how find Ali's age. Write answer in an equation
Answers
y+5=Salifu age
Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).
Answers
Answer:
See below ~
Step-by-step explanation:
Let :
x = people donating $15 when you runy = people donating $25 when you runTwo inequalities created are :
15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2Solving
Let the people paying $15 be "x" and $25 be "y"
1st inequality
15(x) + 25(x) ⩾ $1500
2nd inequality
x + y ≤ 100
DIRECTIONS: Use the numbers 0 through 9 (once and only once) in each blank space. Your goal is to form a way to say the target number.
Answers
The answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The target number is 54
= 9×6 = 54
= 8×7 - 02
= 5×7 + 19
= 27×2 = 54
Thus, the answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
Find the volume of the composite solid. Round your answer to the nearest hundredth.
The volume is about _____ cubic meters.
(5.1)
Answers
Answer:
97.92 m³ (nearest hundredth)
Step-by-step explanation:
The composite solid is a cube with a cone cut out.
Therefore, to find the volume of the solid, subtract the volume of the cone from the volume of the cube.
Volume of Cube[tex]\textsf{Volume of a cube}=\sf s^3 \quad\textsf{(where s is the side length)}[/tex]
Given:
s = 5.1 mSubstitute given value into the formula:
[tex]\begin{aligned}\implies \sf V_{cube} & = \sf 5.1^3\\& = \sf 132.651\: m^3\end{aligned}[/tex]
Volume of Cone[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
[tex]\sf r=\dfrac{1}{2}(5.1)=2.55\:m[/tex][tex]\sf h = 5.1\:m[/tex]Substitute given values into the formula:
[tex]\begin{aligned}\sf \implies V_{cone} & = \sf \dfrac{1}{3} \pi (2.55^2)(5.1)\\& = \sf 11.05425 \pi \: m^3\end{aligned}[/tex]
Volume of Composite Solid[tex]\begin{aligned}\sf V_{solid} & = \sf V_{cube}-V_{cone}\\& = \sf 132.651-11.05425 \pi \\& = \sf 97.92304941...\\& = \sf 97.92 \: m^3 \: (nearest\:hundredth)\end{aligned}[/tex]
Volume of the cube
Side³(5.1)³132.65m³For the cone
Radius of base=r=5.1/2=2.55mHeight=h=5.1mVolume
1/3πr²h1/3(π)(2.55)²(5.1)34.71m³Total volume of the figure
132.65-34.7197.94m³What is the domain and range for the following function and its inverse?
Answers
Answer:
I have recently learned about this and maybe I could help you if you have given the function but also let explain it.
Step-by-step explanation:
Domain is also known as pre image and also 'x' I.e first element.
Range is also known image and also y I.e second element .
And about inverse we just have to write second element at first and first element at second.
Hope it helps
Which picture shows 1/4?
Answers
Answer:
The bottom left picture is the answer. It contains 4 equally sized parts and only has 1 shaded part, so that's 1 shaded part / 4 parts, or 1/4. The top left picture have 5 parts instead of 4 (1/5), the parts in the top right picture aren't equally sized, and the bottom right picture has 2 parts shaded instead of 1 (1/2)
Hope this helps!
Answer:
1
Step-by-step explanation:
because in 1 there is 1 dark box and 4 light box while others are irregular
The volume of a cylinder is 1,600pie cubic centimeters.the height is 16 centimeters.what is the radius of the cylinder?
Answers
Answer:
Radius = 10
Step-by-step explanation:
Volume of a cylinder=πr^2h
1600πcm^3=πxr^2x16
π cancels out
1600=r^2x16
1600/16=r^2
100=r^2
√100=r
r=10
i ready 3 5/3 x (-8 1/3)=
Answers
Answer:
-350/9 (improper fraction)
-38 8/9 (mixed number)
Step-by-step explanation:
Converting to improper fractions :
3 5/33 x 3/3 + 5/39/3 + 5/314/32. -8 1/3
-(8 x 3/3 + 1/3)-(24/3 + 1/3)-25/3Multiplying them :
14/3 x -25/3-350/9 (improper fraction)-38 8/9 (mixed number)Answer:
[tex]-38 \frac{8}{9}[/tex]
Step-by-step explanation:
[tex]3 \frac{5}{3} \times -8 \frac{1}{3}[/tex]
Convert to improper fractions:
[tex]\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}[/tex]
[tex]\implies \dfrac{14}{3} \times -\dfrac{25}{3}[/tex]
Multiply the numerators and denominators:
[tex]\implies \dfrac {14 \times (-25)}{3 \times 3}[/tex]
[tex]\implies -\dfrac{350}{9}[/tex]
Convert back into a mixed number:
[tex]\implies -38 \frac{8}{9}[/tex]
A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
a) Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
b) Find a sinusoidal function for the height h(t).
c) For how many seconds is the height of the mass above 17 mm over one cycle?
(would anyone like to talk not to be weird or anything lol)
Answers
A ticket resale service sells sports championship tickets at a markup of 250%. If a ticket originally costs $150, how much does the resale service charge after adding its markup to the price?
Answers
Answer answer please
Answers
Answer:
c
Step-by-step explanation:
dont trust me but it seems like c
I need this answered please
Answers
Answer:
see the attachment!
i hope this can help you!
2. Triangle ABC has side lengths of
5 units, 13 units, and 12 units.
Use the Converse of the Pythagorean
Theorem to prove that ABC is a right
triangle. Write numbers 1-4 to order
the steps.
52 + 122 = 132
a²+ 62=c²
169 = 169
25 + 144 = 169
Therefore, triangle ABC is a right
triangle.
Answers
Answer:
1- a²+b²=c²
2- 5²+12²=13²
3- 25+144=169
4- 169=169
For her 16th birthday party Patriot got a birthday cake with a radius of 10 centimeters. her dad cut her a slice of cake with a central angle of 20 degrees.
A. convert the angle measure of Patty's slice to radians.
B. find the area of Patty's slice of cake Leave your answer interms of pie.
C. Find the perimeter of Patty's slice of cake.
Answers
Answer:
Part A
To convert degrees to radians, multiply the given value by π/180°.
[tex]\begin{aligned}\implies 20^{\circ} & =20^{\circ} \times \dfrac{\pi}{180^{\circ}} \: \sf rad\\ & =\dfrac{1}{9} \pi \: \sf rad\end{aligned}[/tex]
Part B
Given:
r = 10 cm[tex]\theta=\dfrac{1}{9} \pi[/tex][tex]\begin{aligned}\textsf{Area of a sector of a circle} & =\dfrac12 r^2 \theta\\\\\implies \textsf{Area of slice of cake} & =\dfrac{1}{2} \cdot 10^2 \cdot \dfrac{1}{9} \pi\\\\& = \dfrac{50}{9} \pi \: \sf cm^2\end{aligned}[/tex]
Part C
Given:
r = 10 cm[tex]\theta=\dfrac{1}{9} \pi[/tex][tex]\begin{aligned}\textsf{Perimeter} & = 2r + \textsf{arc length}\\& = 2r + r \theta \\& = 2(10)+10\left(\dfrac{1}{9} \pi \right) \\& = 20 + \dfrac{10}{9} \pi \\& = 23.4906585\\& = 23.5\: \sf cm \:(1 \:dp)\end{aligned}[/tex]
What is the slope of the line passing through (9,-6) and (5, 10)?
Answers
Answer:
-4
Step-by-step explanation:
m=y2-y1/x2-x1
m=10+6/5-9
m=16/-4
m=-4
Answer: 4/-4
Step-by-step explanation:
Slope Formula= (y2-y1/x2-x1)
10-6/5-9
4/-4
To put money into a savings account, CDs, and stocks is to
A. be risk-adverse
B. invest
OC. secure assets
OD. diversity
Answers
A triangle has sides with lengths of 8 meters, 12 meters, and 13 meters. is it a right triangle?
yes or no ?
Answers
Answer:
no
Step-by-step explanation:
sides of right triangle are in Pythagorean Theory ex 3,4,5 or 5,12,13 0r 8,15,17
David currently earns $25.00 per hour. He receives a 5% raise each year. He
wants to know how many years it will be until he is earning more than $30.00
per hour.
Answers
Answer:
4 years
Step-by-step explanation:
30 = 25 ( 1.05)^n
1.2 = 1.05^n
log 1.2 / log 1.05 = n years = 3.73 ~ 4 years
With the metal detector we find 70 Roman coins underground,30 are Etruscan,15 are Greek. What is the probability ,that I draw a Greek coin?
Answers
Answer:
30*100/70= 42.85% chances that you will draw a Etruscan coin and same way 42.85-100= 57%
Answer:
3/23
Step-by-step explanation:
Probability (Greek) :
Number of Greek coins / Total coins15 / 70 + 30 + 1515/1153/23Given f(x)=x^2, write the equation of the transformed function if g(x)=f(x-1)
Answers
Answer:
1. g(x) = (x - 1)²; translation of 1 unit to the right.
2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.
Step-by-step explanation:
1.
f(x) = x²
g(x) = f(x - 1)
g(x) = (x - 1)²
Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.
2.
f(x) = 3^x
g(x) = f(x + 1) - 2
g(x) = 3^(x + 1) - 2
Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.