12.5.17
Two dice are rolled.
a) Determine the number of points in the sample space.
b) Determine the probability that a double (a 1, 1 or 2, 2, etc.) is rolled.
c) Determine the probability that a sum of 6 is rolled.
d) Determine the probability that a sum of 11 is rolled.
e) Are you as likely to roll a sum of 6 as you are of rolling a sum of 11?
a) There are 36 points in the sample space.
b) The probability that a double is rolled is
(Simplify your answer.)
Answer:
(a) 36 points
(b) Pr(rolling a double number) ≅ 0.167
(c) Pr(a sum of 6 is rolled) ≅ 0.139
(d) Pr(a sum of 11 is rolled) ≅ 0.056
(e) No.
Step-by-step explanation:
Sample space = {1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6}
(a) The number of points in the sample space is 36.
(b) Pr(rolling a double number) = [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex] ≅ 0.167
(c) Pr(a sum of 6 is rolled) = [tex]\frac{5}{36}[/tex] ≅ 0.139
(d) Pr(a sum of 11 is rolled) = [tex]\frac{2}{36}[/tex]
= [tex]\frac{1}{18}[/tex] ≅ 0.056
(e) No. It is more likely to roll a sum of 6 than that a sum of 11.
Ming makes 6 trays of muffins. Each tray requiers 1.75 pounds of apples. How many pounds of apples does ming use?
Answer:
10.5
Step-by-step explanation:
Answer:
He would use 10.5 lbs of apples.
What are the Odds of an event happening if the probability of the event happening is (Event
0.25]?
Answer:
odds and probably are the same. If there is 0.25 chance that means there is basically a 25% chance the event will happen or 1/4 chance.
Step-by-step explanation:
Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d2
7 in
14 in
22 in
44 in
Answer:
14 in
Step-by-step explanation:
Given:
Circumference of circle = 44 in
Required:
The length of the diameter of the circle.
SOLUTION:
Circumference of circle = πd
Circumference = 44 in
π = 3.14
d = ?
Plug the values into the formula
44 = 3.14*d
Divide both sides by 3.14
44/3.14 = d
14.01 = d
d ≈ 14 in
In 2 /3 ÷ 4 /5 the is 2/ 3 .
Answer:
5/9
Step-by-step explanation:
2/3 • 5/2 • 2/3
1/3 • 2/5 • 2/3
multiply 1/3 for 5/2
5
-----------
3 • 2
multiply 3 for 2
5/6 • 2/3
anular el factor común 2
5/3 • 1/3
multiply 5/3 for 1/3
5
------------
3 • 3
multiply 3 for 3
5/9
the result
5/9
form decimal
0.5
In 2016, Southwest Airlines boasted that 70% of its flights were on time. If we select 8 Southwest flights at random and assume independence, what is the probability that at least 3 flights are on time
Answer: 0.9887
Step-by-step explanation:
Let p be the probability that flights are on time.
As per given, p =70% = 0.7
Sample size : n = 8
Let x be a binomial variable that represents the number of fights are on time ( i.e. success).
Using binomial formula: [tex]P(X=x) = \ ^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that at least 3 flights are on time = [tex]P(X\geq 3)=1-P(X<3)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\=1-[^8C_0(0.7)^0(0.3)^8+^8C_1(0.7)^1(0.3)^7+^8C_2(0.7)^2(0.3)^6]\\\\=1-[(0.3)^8+8(0.7)(0.3)^7+\dfrac{8!}{2!6!}(0.7)^2(0.3)^6]\\\\=1-[0.00006561+0.00122472+0.01000188]\\\\=1-0.01129221\\\\=0.98870779\approx\ 0.9887[/tex]
The probability that at least 3 flights are on time = 0.9887
Can I please have answer
Answer:start on -4 go over 3 right and up 4
Step-by-step explanation:
Answer:
Start at -4 on the y axis(the axis that goes up and down). Then draw a line from this point that goes to the right 3 squares, and up 4 squares. Then just continue the line with the same movements to the right, and opposite movements to the left.
Step-by-step explanation:
Magic
200 students ate lunch today. 37% of the students ate soup how many students ate soup?
Answer:
74
Step-by-step explanation:
Answer:74 students ate soup
Step-by-step explanation:
37% of 200 = 74
or
.37 x 200 = 74
A racing car consumes a mean of 106 gallons of gas per race with a standard deviation of 6 gallons. If 33 racing cars are randomly selected, what is the probability that the sample mean would be greater than 103.7 gallons? Round your answer to four decimal places.
Answer:
The probability is [tex]P(\= X > 103.7 ) = 0.9862 [/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 106 \ gallons[/tex]
The population standard deviation is [tex]\sigma = 6 \ gallons[/tex]
The sample size is [tex]n = 33[/tex]
Generally the standard deviation of sample mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{6}{\sqrt{33} }[/tex]
=> [tex]\sigma_{x} = 1.044[/tex]
Generally the probability that the sample mean would be greater than 103.7 gallons is mathematically represented as
[tex]P(\= X > 103.7 ) = P(\frac{X - \mu }{\sigma_{x}} > \frac{103.7 - 106}{1.044 } )[/tex]
Generally [tex]\frac{X - \mu }{\sigma_{x}} = Z (The \ standardized \ value \ of \= X )[/tex]
So
[tex]P(\= X > 103.7 ) = P(Z > -2.203 )[/tex]
From the z table the probability of (Z > -2.203 ) is
[tex]P(Z > -2.203 ) = 0.9862[/tex]
So
[tex]P(\= X > 103.7 ) = 0.9862 [/tex]
??????????number line
Answer:
A. 6 B. 8 min C. yes
Step-by-step explanation:
The cost of a ticket t will be no more than 26$
Answer: What's the question?
Step-by-step explanation:
Suppose the time to process a loan application follows a uniform distribution over the range 77 to 1515 days. What is the probability that a randomly selected loan application takes longer than 1414 days to process
Answer:
The probability is approximately 0.2222
Step-by-step explanation:
The correct question is as follows;
Suppose the time to process a loan application follows a uniform distribution over the range 7 to 15 days. What is the probability that a randomly selected loan application takes longer than 14 days to process
Please check attachment for solution to question
Pls help me on my mathhhh
I can’t do it cuzzzz I’m dummmmm bro
Answer:
C
Step-by-step explanation:
Slope equals rise over run, which means the change in y for every x value. On the table, we see that y increases by 10 and x increases by 2, so that would be 10/2. However, the slope must be shown in the simplest form so divide the fraction by 2 to get the final slope, 5/1=5.
To get the intercept you must find when x=0. Since the lowest x-value on the graph is 2 we need to subtract the slope twice to get to zero. So 10-5-5, which equals 0.
The equation would be y=5x.
Identify the equation for the graph shown.
A)
y = x - 4
B)
y = 5x - 2
4-3x6
D)
y = 2x - 5
Answer:
(D) y = 2x - 5
Step-by-step explanation:
First locate where the line touches the y axis or vertical axis. Then find the rise over run or rate of change (slope) by using the triangle method.
I call this the triangle method because it involves drawing vertical(up, and down), and horizontal(left, and right) lines from the original or diagonal line (hypotenuse or longest line) to create a right (90 degree, because the angle between them forms a square) triangle. First draw a line going to the right from a point on the original line, and form a triangle by connecting the next point with a line going up, and down (vertical line) with the line going to the right (horizontal line)
Then count the units of the vertical line and divide them by the units counted by the horizontal line.
This is k(for constant) or m(slope or steepness of a graph ) = change in or rise of y divided by the change in or rise of x = ∆y(change in or rise of y)/∆x(change in or run of x).
For this graph, starting from -5 or the point where the line touches the y axis. Draw a line going up 1 square to the right, and another going up 2 squares. Repeat this, and you will realise that it's the same pattern every time. Because the line goes up 2 squares, every time it goes to the right 1 square. There is a change of 2 in y every change of 1 in x or rise of 2 for every run of 1. Therefore, the slope is 2/1 = 2. Then since we know the graph touches the y axis at -5, y = 2x - 5
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
13, 8, 18, 19, 13, 14, 12
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
The mean of a set of numbers is the sum divided by the number of terms
Romeo looks up at Juliet in her second-floor balcony at an angle of 57o. Of the balcony is 10 feet above the ground, how far is Romeo standing from the base of her house
Answer:
500
Step-by-step explanation:
Simon & Iris earned money
by selling candy. They
earned $12 by recycling.
They split the total and
each got $100. How much
did they earn selling
candy?
Answer:
[tex]Candy = \$188[/tex]
Step-by-step explanation:
[tex]Recycling = \$12[/tex] ---- earnings
[tex]Each = \$100[/tex] --- individual earnings
[tex]Individuals = 2[/tex] ---- Simon & Iris
Required
Determine earnings of selling candy
First, we need to determine the total earnings.
[tex]Total\ Earnings = Individuals * Individual\ Earnings[/tex]
[tex]Total\ Earnings = 2 * \$100[/tex]
[tex]Total\ Earnings = \$200[/tex]
Since the total earnings is from recycling and candy, we have:
[tex]Candy + Recycling = Total\ Earnings[/tex]
[tex]Candy + \$12= \$200[/tex]
[tex]Candy = \$200 - \$12[/tex]
[tex]Candy = \$188[/tex]
the following shape is made by cutting an equilateral triangle from rectangle find its perimeter
Answer:
47.6 cm
Step-by-step explanation:
Since the triangle is equilateral then the 2 inclined sides = 7.2 cm
Perimeter is then the sum of the 5 sides
P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm
20 Points.........................
A polynomial has a leading coefficient of 1 and the following roots. What is the factored form of the polynomial?
3, Sqrt 3
A. g(x)= (x- 3) (x- sqrt(3)) (x+ sqrt(3))
B. g(x) = (x + 3) (x- sqrt(3)) (x+ sqrt(3))
C. g(x) = (x- 3) (x- sqrt(3))
D. g(x) = (x + 3) (x+ sqrt(3))
please answer this The cost of 2.5 pounds of cheese is $5.60.
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$11.20
Step-by-step explanation:
you just double the cost of 2.5 pounds because 2.5 +2.5 is 5
Answer:20.16
Step-by-step explanation:
That is we want the price of
9
pounds (lets call it
$
x
) to be such that
$
5.60
:
2.5
pounds
is the same as
$
x
:
9
pounds
or written as fractions, we want
$
5.60
2.5
pounds
=
$
x
9
pounds
That is
XXX
$
x
=
$
5.60
2.5
pounds
×
9
pounds
XXXXX
=
$
50.40
2.5
=
$
20.16
A polynomial function has roots -5 and 1. Which
of the following could represent this function?
f(x) = (x + 5)(x + 1)
f(x) = (x - 5)(x - 1)
f(x) = (x - 5)(x + 1)
f(x) = (x + 5Yx - 1)
Answer:
f(x) = (x + 5)(x - 1)
Step-by-step explanation:
f(x) = (x + 5)(x - 1) has the roots of -5 and 1, when you set each factor equal to zero.
x + 5 = 0
x = -5
So, -5 is a root of the function.
x - 1 = 0
x = 1
So, 1 is the other root of the function.
f(x) = (x + 5)(x - 1) is the polynomial function with the roots of -5 and 1
What is the answer for 2
Same Thing as the first one
The standard normal distribution has a mean of
and a standard deviation of
The standard normal distribution has a mean of 0 and a standard deviation of 1
what are the two consecutive odd integers whose product is 99.
Answer:
9and 11
Step-by-step explanation:
it also can be -9 and -11
Find the slope and the y-intercept of the line.
y=2x-9
Answer: The Slope Is: m=2. The y -intercept Is: b=9 or (0,9) hope this helps :)
Step-by-step explanation:
Jade used 3/4
yard of fabric to make a scart. Can she make 2 of these scarves with 1 4/5 yards of fabric, and why?
Answer:
Yes she can
Step-by-step explanation:
3/4 = 0.75
1 4/5= 1.8
0.75 x 2 = 1.5 which is less that 1.8 so she can
Please help me with this!
I will give you a thanks!
What is the measurement of G?
Answer:
59 Degrees!!
Step-by-step explanation:
Answer:
59°
Step-by-step explanation:
180 - (57 + 64) =
180 - 121 = 59
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 112 inches and standard deviation σ = 10 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals. (a) Find the 22nd percentile of the tree heights. (b) Find the 80th percentile of the tree heights. (c) Find the first quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Find the 22nd percentile of the tree heights. The 22nd percentile of tree heights is inches.
Answer:
Explained below.
Step-by-step explanation:
Let X represents the tree heights.
It is provided that X follows a normal distribution with mean μ = 112 inches and standard deviation σ = 10 inches.
(a)
Compute the 22nd percentile of the tree heights as follows:
[tex]P(X<x)=0.22\\\\P(Z<z)=0.22[/tex]
The z-score for the corresponding probability is, z = -0.77.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.77=\frac{x-112}{10}\\\\x=112-(0.77\times 10)\\\\x=104.3[/tex]
Thus, the 22nd percentile of the tree heights is 104.3 inches.
(b)
Compute the 80th percentile of the tree heights as follows:
[tex]P(X<x)=0.80\\\\P(Z<z)=0.80[/tex]
The z-score for the corresponding probability is, z = 0.84.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.84=\frac{x-112}{10}\\\\x=112+(0.84\times 10)\\\\x=120.4[/tex]
Thus, the 80th percentile of the tree heights is 120.4 inches.
(c)
Compute the first quartile of the tree heights as follows:
[tex]P(X<x)=0.25\\\\P(Z<z)=0.25[/tex]
The z-score for the corresponding probability is, z = -0.67.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\-0.67=\frac{x-112}{10}\\\\x=112-(0.67\times 10)\\\\x=113.3[/tex]
Thus, the first quartile of the tree heights is 113.3 inches.
(d)
The tallest 1% of the trees, i.e. P (X > x) = 0.01.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-value is, z = 2.33.
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\0.99=\frac{x-112}{10}\\\\x=112+(0.99\times 10)\\\\x=121.9[/tex]
Thus, the tallest 1% of the trees are more than 121.9 inches tall.
