Answer:
[tex]Probability = \frac{243}{1024}[/tex]
Step-by-step explanation:
Given
[tex]Sum = \{7, 11, 12\}[/tex]
[tex]Rolls = 5[/tex]
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
[tex]Outcomes = 36[/tex]
[tex]Sum\ of\ 7 = 6[/tex]
[tex]Sum\ of\ 11 = 2[/tex]
[tex]Sum\ of\ 12 = 1[/tex]
So, in a single roll; The probability of getting audited is:
[tex]p= \frac{1 + 2 + 6}{36}[/tex]
[tex]p= \frac{9}{36}[/tex]
[tex]p= \frac{1}{4}[/tex]
The probability of not getting audited in a single roll is:
[tex]q = 1 - p[/tex] --- Complement rule
[tex]q = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]q = \frac{4 - 1}{4}[/tex]
[tex]q = \frac{3}{4}[/tex]
The probability of not getting audited in 5 rolls is:
[tex]Probability = q^5[/tex]
[tex]Probability = (\frac{3}{4})^5[/tex]
[tex]Probability = \frac{3^5}{4^5}[/tex]
[tex]Probability = \frac{243}{1024}[/tex]
-4x=24
solve da equation
Answer:
You have -4x=24.
well if you divide -4 and 24 you will get -1.6
Step-by-step explanation:
a bag has 7 red scraps, 3 orange scraps, and 5 speckled scraps. you randomly pull a scrap from the bag, keep it out, and then pull out another one.
what is the probability of getting a speckled and then not getting a orange? write answer as a fraction.
Answer:
Step-by-step explanation:
total scraps=7+3+5
Red Orange Speckeled
7 3 5
-1
7 3 4
P1=5/15
[tex]P2(1~red~ or~ 1 ~speckeled)=\frac{7}{14} +\frac{4}{14} =\frac{11}{14} \\P=\frac{5}{15} \times \frac{11}{14} =\frac{11}{42}[/tex]
I aould appreciate if someone helped
What is the answer 1/2 x 2 1/3
Answer:
7/6
Step-by-step explanation:
The part of an expression that is being added or subtracted
The terms of a mathematical expression are parts of the expression that are connected with addition or subtraction. The factors in a mathematical expression are parts of the expression that are connected with multiplication.
I don't know what you meant but I hope this helps.
Gavin needs to buy candy for the 11 students in his class plus himself. Gavin and each student will get one bag of candy. He uses $20 to buy two different types of candy. Gavin buys x bags of gummy bears that cost $1.50 per bag and y bags of chocolates that cost $2.00 per bag. The system of equations used to represent this situation is graphed, as shown.
Answer:
20=1.50(6)+2.00(4)
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
find the variable h+ 1/2 = 3 1/4
Answer:
h=2 3/4
Step-by-step explanation:
2 3/4+1/2=
you can convert 1/2 into 2/4 so they have like denominators
2 3/4+2/4= 2 5/4 which is also equal to 3 1/4
The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.2 in/s. At what rate is the volume of the cone changing when the radius is 134 in. and the height is 136 in.
Answer:
Volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].
Step-by-step explanation:
Given: The radius of a right circular cone is increasing at a rate of [tex]1.9[/tex] in/s while its height is decreasing at a rate of [tex]2.2[/tex] in/s.
To find: The rate at which volume of the cone changing when the radius is [tex]134[/tex] in. and the height is [tex]136[/tex] in.
Solution:
We have,
[tex]\frac{dr}{dt} =1.9 \:\text{in/s}[/tex], [tex]\frac{dh}{dt}=-2.2\:\text{in/s}[/tex], [tex]r=134 \:\text{in}[/tex], [tex]h=136\:\text{in}[/tex]
Now, let [tex]V[/tex] be the volume of the cone.
So, [tex]V=\frac{1}{3}\pi r^{2}h[/tex]
Differentiate with respect to [tex]t[/tex].
[tex]\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ][/tex]
Now, on substituting the values, we get
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ][/tex]
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ -39503.2+69251.2 \right ][/tex]
[tex]\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ][/tex]
[tex]\frac{dv}{dt} =9916\pi \frac{in^3}{s}[/tex]
Hence, the volume of the cone is increasing at the rate [tex]9916\pi \frac{in^3}{s}[/tex].
can somebody help me with this quickly I forgot how to do this and yeah ill mark you!
Answer:
4/11 i believe
Step-by-step explanation:
Lucy has $60,000 in a savings account that earns simple interest of 14% per year. How much will she have in her account after 5 years?
Answer:
$42,000
Step-by-step explanation:
60,000 × .14 × 5 = 42,000
help w all please!!! i dont even know where to plot lol
identify the coefficeient following expression
6a+7
Answer:
6
Step-by-step explanation:
The coeffecient is the number next to the variable. Boom. Done.
Answer:
6
Step-by-step explanation:
a coefficient is a number in front (behind) the variable (ex. the coefficient in 2x is 2, and the variable is x)
i hope this helps :)
Will Give Brainleist! Plz help me on this problem
Which equation represents a line with slope 3/5 of and y-intercept of -1 ?
Answer:
y = 3/5x - 1
i think that's what's supposed to be there...
8. What is m A to the nearest tenth?
A
14.1
22.9
B
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months. I select a simple random sample of 400 batteries produced in the manufacturing plant. I test each and record how long it takes for each battery to fail. I then compute the average of all the failure times. The sampling distribution of is approximately:
Answer:
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The batteries produced in a manufacturing plant have a mean time to failure of 30 months with a standard deviation of 2 months.
This means that [tex]\mu = 30, \sigma = 2[/tex]
Sample of 400 batteries. The sampling distribution of is approximately:
So [tex]n = 400, s = \frac{\sigma}{\sqrt{n}} = \frac{2}{\sqrt{400}} = 0.1[/tex]
By the Central Limit Theorem, the sampling distribution is approximately normal, with mean 30 and standard deviation 0.1.
ASAP will give brainliest
Question 6(Multiple Choice Worth 4 points)
(07.06) There are currently 3 people signed up for the debate club. The school will not recognize the club officially until it has more than 5 members.
Which of the following graphs includes the possible values for the number of people who still need to sign up to make the club "official?"
H>
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6
-3-2-1 0 1 2 3 4 5 6 7 8 9 10
--10-9-8-7-6
1-2-1 0 1 2 3 4 5 6 7 8 9 10
OH
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Answer:
it should be the last one
Step-by-step explanation:
How can you find f(4) if f(x)=7x^(2)-5
Answer:
107
Step-by-step explanation:
f(x)=7x^(2)-5
f(4) means that x=4
f(4)=7*4^(2)-5
= 7 * 16 -5
= 112 -5
= 107
Choose the sentence that does not have any errors in spelling or punctuation.
Someone who sells tickets is always in the ticket wagon, which is stationary in spite of its wheels.
Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Someone, who sells tickets, is always in the ticket wagon which is stationary in spite of its wheels.
Someone, who sells tickets, is always in the ticket wagon which is stationery in spite of its wheels.
Answer: Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
Step-by-step explanation: Do usage of the comma in answers C , and D are incorrect , so that leaves us with answers A and B , in option A stationery is miss spelled so your answer would be : Someone who sells tickets is always in the ticket wagon, which is stationery in spite of its wheels.
what is this equation????
m=y2-y1\y2-y1
Answer:
Are you sure it ia not x2 - x1 in the denominator?
Answer:
x=2-y
Step-by-step explanation:
Root (2,0)
Vertical intercept (0,2)
determine the mean of the numbers:
28 40 53 39 45
Answer:
Mean of the numbers is 41
Step-by-step explanation:
1) You add 28 + 40 + 53 +39 +45
2) Divide whatever number by 5 because that is how many numbers there are given
In this case it would 205 divided by 5 which is how I get 41
a gift box in the shape of a rectangular prism measures 8in by 8in by 10in. what is the least amount of wrapping paper needed to wrap the gift box?
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is
A=2(xy+xz+yz), where x,y,z are the dimensions, in this case
A=2(8(8)+8(10)+8(10))
A=2(64+80+80)
A=2(224)
A=448in^2
So the minimum amount of wrapping paper is 448in^2
What is 3r-2 ?? Algebra is not my strong suit
please help me. In the circle below, U is the center, VX is a diameter, and m VW = 110 degrees Use this information to fill in the blanks.
Answer:
Step-by-step explanation:
Inscribed angle → ∠VXY
(Angle included between two chords meeting at a point on circumference)
Minor arc → (arc VY)
(Arc measuring less than 180° is called as minor arc)
Semicircle → (arc VWX)
(Arc inscribed by the diameter)
m(arc VWX) = 180°
(Semicircle)
m(∠VUW) = 110°
(Central angle subtended by an arc)
50 POINTS IF YOU HELP ME!!!!!! A study of college business majors included 150 sophomores and 200 juniors. The study showed that 80 sophomores and 150 juniors had summer internships. One person from the study is selected at random. What is the probability that the person is a sophomore given that the person had a summer internship? A. 8 23 3 B. C. 8 15 23 D. 35
Answer:
= 0.3478
Step-by-step explanation:
Given:-
- The number of sophomore, S = 150
- The sophomore and had summer internship, x = 80
- The number of juniors, J = 200
- The junior and had summer internship, y = 150
Find:-
What is the probability that the person is a sophomore given that the person had a summer internship?
Solution:-
- The total sum of sophomore and junior students is N:
N = S + J
N = 150 + 200
N = 350 students.
- We will denote event A as random selection of sophomore from total.
- We will denote event B as random selection of student who had summer internship.
- We are to determine the conditional probability that a person selected is sophomore given that the person had a summer internship. That is the probability of event A given that event B has already occured.
- The conditional probability can be written as:
P ( A / B ) = P ( A & B ) / P ( B )
Where,
P ( A & B ) : The probability the person is a sophomore and had a summer internship.
P ( B ): The probability that the person selected had a summer internship.
P ( A & B ) = x / N
= 80 / 350
= 0.22857143
P ( B ) = ( x + y ) / N
= ( 80 + 150 ) / 350 = 230/350
= 0.65714286
Therefore the required probability is:
P ( A / B ) = 0.22857143 / 0.65714286
= 0.3478 ... Answer
the answer to your question is = 0.3478
honestly lost on these problems
Answer:
29
Step-by-step explanation:
Hope this helps
mark me brainlist
Answer:
27
Step-by-step explanation:
We know the missing angle for the triangle on the left is 63. And that is the same angle reflected to the other side. There is a right angle so its 63 + 90 = 157.
180 - 157 = 27
What is the area of the shaded region?
PLEASE HELP!! Will give out brainliest!!! But also have to explain how you got the answers!! Please and thanks!!
1) Consider the piecewise
function shown on the graph, which is composed of exponential,
linear, and polynomial pieces.
h(x)
Complete the statements describing function h.
10
8
6
Over the interval [0, 3), function h is represented
4
2
by
function
-10
-8-6
4
02
-2
4
6
8
10
Function h
a continuous function.
As x approaches positive infinity,
h(x) approaches
As x approaches negative infinity,
-10
h(x) approaches
9514 1404 393
Answer:
exponentialis+∞-∞Step-by-step explanation:
Neither linear nor exponential functions have a "wiggle" in their graph, so the piece in the region x < 0 is polynomial.
The piece in the interval [0, 3] is concave upward and has increasing slope. It could be polynomial, but is most likely the exponential piece of the function.
For x > 3, the function is linear.
There are no gaps in function value where the transition is made from one piece to another, so the function is continuous.
The function tends upward at the right side of the graph. It tends downward at the left side of the graph. This tells you the sign of the infinity they tend toward matches the sign of the infinity x tends toward.
__
On the interval [0, 3], h(x) is represented by an exponential function.
H(x) is a continuous function.
As x approaches +∞, h(x) approaches +∞.
As x approaches -∞, h(x) approaches -∞.
I need help sooo please HELP ME :’) ill give good points because its my last question:
When is the multiplicative relationship used? Select all that apply.
options (more than 1):
1.When multiplying the same amount to an x-value.
2.When subtracting the same amount to an x-value.
3.When dividing the same amount to an x-value.
4.When adding the same amount to an x-value.
Answer:
1 and 3
Step-by-step explanation:
( 3 x + 2 ) + ( − 5 x + 7 )
Answer: -2x+9
Step-by-step explanation:
(3
Answer:
It wasnt letting me answer so I put it in the comments but the answer is -2x+9
Step-by-step explanation:
Brainliest??
What is the slope of a line of best fit if its equation is y = −2x + 3?
−2
Negative 1 over 2
1 over 3
3
Answer:
-2
Step-by-step explanation:
y=m(slope)x+b(y axis)