it is clearly impossible
It is impossible that the probability of rolling 15 with a pair of dice.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Required the probability of rolling 15 with a pair of dice.
But we know that in the roll of a pair of fair dice,
Then the sample space is as follows:
(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)
Hence, It is impossible that probability of rolling 15 with a pair of dice.
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ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?
Answer:
[tex]\frac{14}{30} = 7/15[/tex]
The probability that a randomly selected student has a brother given they have a sister is 11/30.
We have given that,
Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.
What is the formula for probability?The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.
Since there are 30 students in total, and 11 of them have both a brother and a sister,
Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.
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Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the hundredths place.
Answer:
d
Step-by-step explanation:
HELP ASAP!! Click the picture to make it bigger
:)
thanks
Answer:
the answer is C.
Step-by-step explanation:
Carry a book bag: Female is 57
I need answers asap please!!!:)
Answer:
70 mb
Step-by-step explanation:
264 picture = 528 mb
35 pictures = ?
Solve for one picture:
Variable x = mb per 1 picture
264/528 = 1/x
Cross multiply:
264 × x = 528 × 1
264x = 528
x = 528 ÷ 264
x = 2
Each picture takes up 2 mb.
Multiply the number of pictures per 2 mb:
35 pictures × 2 mb
70 mb total
4,192 ÷ 3 explination
Answer:
[tex]1397\frac{1}{3}[/tex]
Step-by-step explanation:
Answer:
1,397.33333
Step-by-step explanation:
4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.
Samantha saves at least 10% of the money she earns each month. She earns $120 each month for a year. Which inequality describes the total amount Samantha saves?
Step-by-step explanation:
10 % each month is $12.00 12 months in a year 12 x 12.00 = $144.00
The inequality to describe the total amount Samantha saves is s > 15.
The correct option is (A).
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. We compare two values in inequality.
As per the given data:
We are given that Samantha saves at least 10% of her monthly salary.
Samantha is earning $150 each month for a year.
To find the amount Samantha at least saves in a month:
= 10% of her monthly salary
= 10% × 150
= 10/100 × 150
= 15 dollars
As she is saving, at least 15 dollars, then the inequality to describe her savings is as follows:
savings > 15
The inequality to describe the total amount Samantha saves is s > 15.
Hence, The inequality to describe the total amount Samantha saves is
s > 15.
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(The given question is incomplete, the complete question is given below)
I need answer immediately!!!!!!
Answer:
y = -2/3x - 5
Step-by-step explanation:
find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0
Given:
P(x) is a 2nd degree polynomial.
[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]
To find:
The polynomial P(x).
Solution:
If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).
We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).
So, the required polynomial is defined as:
[tex]P(x)=a(x-1)(x+3)[/tex] ...(i)
Where, a is a constant.
We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get
[tex]3=a(2-1)(2+3)[/tex]
[tex]3=a(1)(5)[/tex]
[tex]3=5a[/tex]
[tex]\dfrac{3}{5}=a[/tex]
Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get
[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]
Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].
(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?
Answer:
Obtuse.
Step-by-step explanation:
If we have a vector v = (a, b, c)
The magnitude of the vector is:
|v| = √(a^2 + b^2 + c^2)
And the dot product of two vectors:
v = (a, b, c)
w = (c, d, e)
is:
v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e
With that relation, we can find the angle between the two vectors.
In this case, we have:
v = ⟨−1,0,1⟩
then:
|v| = √( (-1)^2 + 0^2 + 1^2) = √2
And:
w = ⟨4,5,2⟩
then:
|w| = √( 4^2 + 5^2 +2^2) = √116
Then:
v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2
(√2)*(√116)*cos(θ) = -4 + 2 = -2
(15.23)*cos(θ) = -2
cos(θ) = -2/15.23
θ = Acos( -2/15.23) = 97.5°
Then the angle is larger than 90°, so the angle is obtuse.
A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
Given circle Q a measure of SR = 120 degree and a radius of 9 feet, as shown below determine the arc length of SR use mathematics to explain how you determined your answer. 
Volume and circles
Help please ❤️
Answer:
Arc length SR = 18.85 ft
Step-by-step explanation:
To get the arc length, we use the formula below
theta/360 * 2 * pi * r
theta is the central angle subtended by the arc which is 120 degrees
r is the radius of the circle which is 9 ft
Substituting these values, we have
120/360 * 2 * 3.142 * 9
= 18.85 ft
Q9 A gardener wants to build this greenhouse in the top right hand corner of her garden.
This is a sketch plan of her garden.
2.5m
5.5m
greenhouse
2m
here
5.5m
2.5m
She will leave a 50cm space between the greenhouse and the edge of the garden.
She wants a scaled plan of the garden showing the position of the greenhouse.
Draw a scale plan. Put the scale you use on the plan.
Answer:
See attachment for drawing
Step-by-step explanation:
Given
See attachment for sketch of plan
Required
Draw a scaled plan
From the question, the garden has the following dimensions.
5.5m, 5.5m, 4m and 2.5m
Using a scale of 1m : 50 cm units, the above measurements will be represented as:
[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]
[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]
From the question, we understand that there will be 50cm space between the greenhouse and the edge.
On the scale drawing, this will be represented as:
[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]
From the question, the green house has the following dimensions.
2m, 2.5m
On the scale drawing, this will be represented as:
[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]
[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]
See attachment 2 for scale drawing
What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4
Answer:
y = 1
Step-by-step explanation:
3 + y = 4
y = 1
Answer:
Step-by-step explanation:
I think its y=1 but I'm not sure
Hope this helps
Have a good day
Pls tell me if I'm wrong
It rains 7 out of every 10 days.
What is the chance of rain on one day?
Answer:
if it rains 7 out of 10 days the chance of rain for one day is 70%
Step-by-step explanation:
The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is What is the value
of b?
-18
-9
9
18
Answer:
B.) -9
Step-by-step explanation:
The value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
How to calculate the axis of symmetry of a function?The standard equation of a function in vertex form is given as:
f(x) = (a + x)^2 + h
Given the function f(x)=3x^2+bx+4 with an axis of symmetry of 3/2, the vertex is expressed as:
3/2= -b/2a
-b/2(3)=3/2
-b/6=3/2
Cross multiply
-2b = 18
-b=9
Hence the value of b if 3/2 is the axis of symmetry for the graph of the function f(x)=3x2+bx+4 is -9
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Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.
Answer:
4:25
Step-by-step explanation:
Given that,
r₁ = 15 inches, r₂ = 6 inches
The area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2[/tex]
The ratio of surface areas of two cylinders,
[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]
Hence, the required ratio is 4:25.
r s + 14s when r=6 and s=1/4
5. (08.01) Line M is represented by the following equation: x + y = -1 What is most likely the equation for line P so the set of equations has infinitely many solutions?
O 2x + 2y = 2
O 2x + 2y = 4
O 2x + 2y = -2
O x - y = 1
Answer:
2x + 2y = -2
Step-by-step explanation:
you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions
-7n = 84 round to the nearest hundredth
Answer:
n=-12
Step-by-step explanation:
what is the area of the figure below
Answer:
Option A
Step-by-step explanation:
Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF
Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(6)(8-5)[/tex]
= 9 in²
Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]
= [tex]\frac{1}{2}(6+4)(5)[/tex]
= 25 in²
Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]
= 24 in²
Therefore, area of the given figure = 9 + 25 + 24
= 58 in²
Option A will be the correct option.
I need help ASAP! 20 point
I’m the xy-plane, a line has a slope of 6 and passed through the point (0,8). Which of the following is an equation of this line?
Answer:
A) y = 6x + 8
Step-by-step explanation:
Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?
Answer:
7 occurs most frequently.
Step-by-step explanation:
If we roll two dice, we do get sample space as
(1,1) = 1+1 =2 (4,1)=4+1=5
(1,2)= 1+2 =3 (4,2)= 34+2=6
(1,3)= 1+3=4 (4,3)= 4+3=7
(1,4)=1+4=5 (4,4)= 4+4=8
(1,5)=1+5=6 (4,5)= 4+5 =9
(1,6)=1+6=7 (4,6)= 4+6=10
(2,1)= 2+1=3 (5,1)= 5+1=6
(2,2)=2+2=4 (5,2)=5+2 =7
(2,3)= 2+3=5 (5,3) =5+3=8
(2,4)=2+4=6 (5,4) =5+4 =9
(2,5)=2+5=7 (5,5)=5+5=10
(2,6)=2+6=8 (5,6)=5+6=11
(3,1)=3+1=4 (6,1)= 6+1=7
(3,2)=3+2=5 (6,2)=6+2=8
(3,3)=3+3=6 (6,3)=6+3=9
(3,4)=3+4=7 (6,4) =6+4 =10
(3,5) =3+5=8 (6,5)=6+5=11
(3,6)=3+6=9 (6,6)=6+6=12
2 occurs for 1 time
3 occurs for 2 times
4 occurs for 3 times
5 occurs for 4 times
6 occurs for 5 times
7 occurs for 6 times
8 occurs for 5 times
9 occurs for 4 times
10 occurs for 3 times
11 occurs for 2 times
12 occurs for 1 time.
So, 7 occurs most frequently.
in how many ways can 4 books be arranged on a shelf if there are 8 books to choose from?
Answer:
1680 ways
Step-by-step explanation:
By using the formula for permutation, which is nPr=n!/(n-r)!,
8P4=8!/(8-4)!
=8!/4!
=8×7×6×5
=1680
Or if you just want to use the multiplication rule (which is simpler).
8×7×6×5=1680
Answer:
im pretty sure its
1680
Step-by-step explanation:
HELP ME PLEASE WHAT IS
What is 2/5 divided by 3/4 IT CAN NOT BE A DECIMAL
Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!
Step-by-step explanation:
HELPPPPPP
solve the equation for x
2/3x-1/9x+5=20
Answer:
x=27
Step-by-step explanation:
You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.
If this has helped you please mark as brainliest
Solve for y:
x + 2y = -8
y=-1/2x+4
y=-1/2x-4
y=-2x - 4
y=1/2x-4
Answer:
x + 2y = -8 = y = -4 - 1/2x
y= -1/2x + 4 = y = 4
y= -1/2x - 4 = y = -4
y=-2x - 4 = y = -4
y=1/2x-4 = y = -4
Step-by-step explanation:
(x + 2y = -8 = y = -4 - 1/2x)
[tex]x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\[/tex]
4. If f(x)=2x+3(x+4)+5 then f(6)=?
Answer:
f(6)=42
Step-by-step explanation:
We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.
If this has helped please mark as brainliest
Answer: 47
Step-by-step explanation:
That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.
a bamboo plant grows 53 1/4 inches in 1 1/2 mouth's what is the bamboo's growth rate in inches per month
Help please anyone ?!
Answer:
.62
Step-by-step explanation:
first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.
A ____ can be observed by all people on the side of the earth experiencing night. Group of answer choices Solar Eclipse Sunrise Lunar Eclipse Gravitation attraction of the sun
Answer:
Lunar Eclipse
Step-by-step explanation:
Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.