Given:
Nancy decides to roll a dice three times.
To find:
The probability that she will roll all even numbers.
Solution:
If a dice is rolled, then the possible numbers are
Total number = {1,2,3,4,5,6} = 6
Even numbers = {2,4,6} = 3
Odd numbers = {1,3,5} = 3
Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]
[tex]P(\text{Even})=\dfrac{3}{6}[/tex]
[tex]P(\text{Even})=\dfrac{1}{2}[/tex]
So, probability of getting all even numbers is
[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]
[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]
[tex]P(\text{All even})=\dfrac{1}{8}[/tex]
Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].
The probability that Nancy will roll all even numbers will be:
"[tex]\frac{1}{8}[/tex]".
ProbabilityAccording to the question,
Number of times dice rolled = 3
Total numbers = {1, 2, 3, 4, 5, 6}
= 3
Even numbers = {2, 4, 6}
= 3
Odd numbers = {1, 3, 5}
= 3
Now,
The probability of getting even numbers will be:
= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
hence,
The required probability be:
= P(Even) × P(Even) × P(Even)
= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]
= [tex]\frac{1}{8}[/tex]
Thus the above answer is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
HELP!! PLZ! EXPLAIN WHY U THINK YOUR ANSWER IS CORRECT AND PLZ DO THE CORRECT ANSWER I WILL ALSO TELL U IF YOUR ANSWER IS WRONG
Answer:
10.29 meters per second and 10.26 meters per second
Step-by-step explanation:
200/ 19.44 = 10.29
100/ 9.75 = 10.26
Answer:
Option no. 1
Step-by-step explanation:
Speed= [tex]\frac{distance}{time}[/tex]For the 200 meter race:
his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds
For the 100 meter race:
his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds
A hot air balloon descends at a rate of 25 feet per minute. how far will the balloon have descended after 7 minutes
Answer:
175 feet
Step-by-step explanation:
25ft/min so you just multiply 25 by however many minutes so its 7 so you do 25x7 which is 175 so its 175feet
A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If
Lawrence rents a vehicle for four days and has $200, what is the maximum number of
miles he can drive?
Answer:8 days and 12 hours
Step-by-step explanation:30$ is each day
Answer:
800 miles
Step-by-step explanation:
Its 800 miles
.Find the unknown angles in each of the following figures and mention the property used
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°
The sick days of employees every two years in a company are normally distributed with a population standard deviation of 7 days and an unknown population mean. If a random sample of 20 employees is taken and results in a sample mean of 21 days, find a 95% confidence interval for the population mean.
Step-by-step explanation:
Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the Normal distribution along with standard deviation of 7 days. Let
[tex]X_i\sim N(\mu ,7)[/tex]
[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]
or [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]
So,
[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]
Therefore, the confidence interval of the population mean for α = 0.05 is
= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]
= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]
= (17.93, 24.07)
A certain analog clock runs fast and gains 5 minutes every 8 hours. It was set to show the correct time. What is the shortest interval of time after which the clock will show the correct time again?
Answer:
1152 hours
Step-by-step explanation:
It doesn’t mention that it has AM or PM, so we’re assuming that it’s just the same time, regardless if the clocks actually shows the wrong time in am/pm-wise.
So, if it gains 5 minutes every 8 hours, we have to make see how many 5-minutes that we need to make 12 hours. 12 hours is equal to 720 minutes, so 720/5=144. Since it asks how many hours we need for it to become the same time again, we need to add the fact that it only adds 5 minutes every 8 hours. Henceforth, we need to multiply our answer (144) by 8 hours. 144*8=1152. Your answer is 1152 hours.
(If you saw this answer before, it was here before, only worded a little bit differently. The admins deleted the response, with this explanation:
‘Your answer has been removed because it was incomplete or incorrect. We know you were excited to help, so please repost and make sure to include any necessary explanations and details. That way other students will better understand your answer. Check out what makes a great answer here: https://faq.brainly.com/hc/en-us/articles/360010136959-Answering-Guidelines ߷’
I was a little confused, because for me it’s wasn’t really incorrect OR incomplete, but I’m going to repost with different wordings. I just want to help people. Hopefully this time my answer doesn’t get deleted.)
Hope this helps you!
The shortest interval of time after which the clock will show the correct time again is 144 hours.
Given that a certain analog clock runs fast and gains 5 minutes every 8 hours, and it was set to show the correct time, to determine what is the shortest interval of time after which the clock will show the correct time again the following calculation must be done:
A clock has a duration of 12 hours, that is, it makes a full turn in that time. Thus, the advance time must be 12 hours for the marked time to be correct.
5 minutes = 1/12 hour 12 hours = 1 hour in advance 12 x 12 = X 144 = X
Therefore, the shortest interval of time after which the clock will show the correct time again is 144 hours.
Learn more in https://brainly.com/question/417916
how far should galileo walk up the inclided plane
Answer:
i actually dont know the answer im sorry but i will keep trying to find the answerr
which answer is right?
Answer: D
Step-by-step explanation:
Since we know that the area of the square is 900 in², we can use that to find the length of each side.
900=x² [square root both sides]
x=30
Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.
2r=30 [divide both sides by 2]
r=15
With the radius, we can find the area of the circle.
A=π(15)² [exponent]
A=225π
Since the problem said to leave in terms of π, the area is A=225π in².
Can you help me understand all this...
1.1,-0.1,-1.3,-2.5,-3.7,-4.9,-6.1,-7.3
Answer:
Su diferencia es -1.2
Step-by-step explanation:
Analizando la jerarquía de los números esta va de ascendente (mayor) a decendente (menor).
Como se puede ver tu primer número es 1.1 y el que le sigue es -0.1, ahí se podría hacer la primera ecuación que es una resta de números 1.1-0.1=1.2. Vamos a retomar el segundo valor y poner el resultado que nos dio al principio (recordando la ley de los signos:negativo más negativo, pues se suman pero el signo negativo estará presente ahí), para tener sentido aquí hay una explicación.
-0.1-1.2=-1.3 y lo mismo hacemos -1.3-1.2=-2.5
what is 45 +12 -12 +12 -12
Answer:
45
Step-by-step explanation:
1) First, add 45 and 12 which equals to 57.
2)Then, subtract 12 from 57 which equals to 45.
3) Again, add 45 and 12 which equals to 57.
4) Finally, subtract 12 from 57 which leaves us with 45.
Hope this helps!
Answer:
45
Step-by-step explanation:
Which input value produces the same output value for
the two functions on the graph?
x=-3
x= -2
x=-1
x= 3
Plzzzzz help me
john is going to invest $1234 at 9% simple interest. how long will it take for it to be worth $2308? use I=Prt and solve
Answer:
approximately 21 years
Step-by-step explanation:
-From the problem, we are given the equation I = Prt
-We're also given three numbers
-From that, we can determine which number should be plugged into the equation:
P = $1234 (this is the principle amount/original amount)r = 0.09 (this is the rate of simple interest)I = $2308 (this is the ending amount)-The only value we are not given is t as we need to solve for this value
-Now plug all these values into the equation:
I=Prt$2308 = ($1234)(0.09)t$2308 = 111.06tDivide both sides by 111.06t = 20.7816It takes approximately 21 years for the investment amount to be worth $2308.
Which of the following is a trinomial with a constant term?
A. X²-6
B. 5x2 - 4 + x
C. 4x5 + 2x - 2x2
D. -3+4x4
Answer:
I'm going to say B
What’s the answer to -11-8=
-11-8 = -19
Step-by-step explanation:
semoga membantu anda
Simplify the expression: 7 + 24 / 6 * 10 *
Answer:
47
Step-by-step explanation:
Since we are following PEMDAS and doing the problem left to right, first you would divide 24/6 which is 4 and then multiply by 10 which is 40. Then add the remaining 7 and your answer is 47. Simple.
A 5” x 7” picture needs a frame whose width is the same on all four sides. If the frame’s perimeter is 28”, what should be the width (x) of the frame?
A) Half of an inch
B) Quarter of an inch
C) Two inches
D) One inch
Answer:
Half an inch
Step-by-step explanation:
Perimeter of the frame = 28 inches
Length fo the frame = 7 + x + x = (7 + 2x) inches
Width of the frame = 5 + x + x = (5 + 2x) inches
Perimeter of a rectangle is given as: 2(length) + 2(width)
Therefore:
28 = 2(7 + 2x) + 2(5 + 2x)
Solve for x
28 = 2*7 + 2*2x + 2*5 + 2*2x
28 = 14 + 4x + 10 + 4x
Collect like terms
28 = 14 + 10 + 4x + 4x
28 = 24 + 8x
Subtract 24 from both sides
28 - 24 = 24 + 8x - 24
4 = 8x
Divide both sides by 8
4/8 = 8x/8
½ = x
Width of the frame = x = ½ of an inch
This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8
Answer: the first one is 1 the second and third is 0.35
Step-by-step explanation:
I jus guessed and got it right someone else has to explain sorry
Answer: 1.) 1
2.) 0.35
3.) 0.35
Step-by-step explanation:
What is the decimal number in expanded form for 0.914 meters
regroup and rename the number 680,000
what is 3/8 + 1/2 = i only have 5 minutes do finish this
Answer:
4/10
Step-by-step explanation:
this is the answer
Answer:
7/8
First Step: 1/2 converts to 4/8
Second Step: Add 4/8 and 3/8
4/8 + 3/8 = 7/8
The volume of a rectangular prism with a length of x meters, a width of x - 1 meters, and a height of x + 11 meters is
no more than 180 cubic meters. What are the possible values of the length?
(-0, -9) U (-5,4)
0 (0,4)
O (1.4)
O (1.4)
Answer:
The answer is c
Step-by-step explanation:
answer please thank you . Make her you like !
Answer34.4
Step-by-step explanation:
Use sigma notation to represent the following series for 8 terms.
Answer: D
Step-by-step explanation:
because its right
Find the equation of the line with the following properties slope does not exist and the
line passes through (-5,-2).
Answer:
y = -2
Step-by-step explanation:
Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.
answer these questions
I need Help what’s is value of X
Answer:
56
Step-by-step explanation:
Answer:
The answer to your question is 56.
Solve equation 4/3y = 18
Answer:
See Below
Step-by-step explanation:
[tex]\frac{4}{3} y = 18\\[/tex]
3 x [tex]\frac{4}{3} y = 18\\[/tex] x3
4y = 54
divide by 4
y= 13 1/2 or 13.5
Homework Worksheet: 3.2 Day 1 - Slope
Name:
Period:
Question 1: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
Question 2: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
1
Question 3: Find the slope & explain what kind of slope it is.
ANSWER:
Question 4: Find the slope & explain what kind of slope it is.
ANSWER:
Question 5: Find the stope & explain what kind of slope it is
(12.-18) and (11, 12)
ANSWER:
Thank
Answer:
1) zero
2) undefined
3) negative
4) positive
5) negative y= -30x+342
hope this helps;)
In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?
Answer:
i cant understand it brief it plz
Step-by-step explanation:
How do you determine if a function notation is a solution ???? Please give an example
Answer:
Identify the input values.
Identify the output values.
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Step-by-step explanation:
Answer:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Example:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Solution:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3